diff --git "a/data/dm_maths/full_data_1/1209_11255.jsonl" "b/data/dm_maths/full_data_1/1209_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1209_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is next in -2484, -2491, -2510, -2547, -2608, -2699?\nAnswer: -2826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.257 times -0.432\nAnswer: -0.111024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -6, 0.5, -9\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 2*y + 17. Suppose -2*t = 5*w - 16, -2*t - 6 = -2. Suppose 2*h = -w*h. Calculate the remainder when q(h) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 188*b**4 - 431*b**4 + 17*b**2 + 15*b**2 + 211*b**4 + 126*b**3 + 2*b**5 - 128*b = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -86332 - 2243*p + 86332 as y + n*p and give n.\nAnswer: -2243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 15, -2*h - 2*b + 16 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 30, -3, -0.2, -4\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**3 - 2*v**2 + 10*v - 2. Let t(m) = -m**4 + m**3 - m**2 + m - 1. Let i(d) = j(d) - 2*t(d). Suppose i(x) = 0. Calculate x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144136637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 170.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 14*x + 1560. Determine v(-33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 457.66 rounded to the nearest ten?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 6. Give a(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 10 + 0\/3. Suppose -5*m = -m - 264. What is the greatest common divisor of m and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v + 353 + 11. What is the remainder when v is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**3\/3 + s**2\/2 - 17*s - 178. Let k be x(-9). Is k < 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16503200 not equal to 16503200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from zhccrcococcocccococr?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 492?\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 27. What is the third biggest value in 3\/4, p, 0.08?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3159746 is divided by 16718?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x - 2*x - 4*x)*(10 - 14 + 9) to the form q + r*x and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/9)\/(4\/(-12)) + 5. Let z be ((4\/3)\/k)\/((-63)\/42). What is the second biggest value in z, 0, -10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (61 - 49 - (15 + -2))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 12:42 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 38272749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 519811 (base 13) in base 8?\nAnswer: 7212765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**3 - 3*f**2 + 3*f + 3. Let d(o) = 6*o**3 + 5*o**2 - 5*o - 5. What is -3*d(x) - 5*u(x)?\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s - 8 - 5 + 4 + 14. Let f(b) = 57*b + 281. Let i be f(-5). Calculate t(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b - 13. Let y(k) = 6*k - 20. Determine -8*v(p) + 5*y(p).\nAnswer: -2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.009 and 2.6?\nAnswer: -0.0234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 171? (a) -1 (b) 0 (c) 0.5 (d) -0.4 (e) 3\/169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 19\/136679?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -7. Suppose 0 = 3*g + 5 + v. Sort g, 3, -0.5 in increasing order.\nAnswer: g, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3280?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o - 4*o + o - 2*o + 3*o + 0*o + (1 - 1 + 1)*(o - o + o) + 15*o - 86*o + 13*o + (-o + o + o)*(-4 + 0 + 5) to d*o + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 9*w - 77 = 0, -29*n - 23366*w + 252 = -23362*w for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 + 5798?\nAnswer: 5797.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.16 - -0.14. Let c = -6 + n. Sort 3, 2, c in increasing order.\nAnswer: c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -185.000246 - -185. What is d rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48207 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, -1\/3, -1486\/5 in ascending order.\nAnswer: -1486\/5, -1.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3220275 by 1073425.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-12))\/((-2)\/8*1)*-17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - u**2 - 3*u**2)*(-12 - 4 + 9)*(-u + u - u)*(-3*u + 4 - 1 - 1).\nAnswer: 42*u**4 - 28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l = 15*l + 132 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2091402 to the power of 1\/2, to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 68 (b) 1\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 25*t + 5. Let f(q) = -75*q - 14. What is -6*f(p) - 17*m(p)?\nAnswer: 25*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10553, -20783, -31055, -41369, -51725, -62123?\n\"Answer: -21*j**2 - 10167*j - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - 3) + 15 + 21 + -33\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -106, 4\/7, -2\/3, 2 in descending order.\nAnswer: 2, 4\/7, 0.4, -2\/3, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 16, -2.6 in decreasing order.\nAnswer: 16, -2.6, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 41?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g + 2 = -d - 33*g, 3*d - 36 = -33*g for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.096288.\nAnswer: -0.0385152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-150))\/((4992\/72)\/52)?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21 from -44.83052.\nAnswer: -65.83052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2001 + -2002. Let w = -117\/245 + -6\/49. What is the nearest to 0.7 in w, 1\/2, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3630*n - 3658*n = 1064 for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 13*o - 7 - 4 - 15*o in the form v*o + i and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 190404.1 millennia?\nAnswer: 2284849200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - (-14 + 9))*(-22)\/(-4). Let d be 28 + (-2)\/(-3)*3. Let j = d - h. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) + -2*sqrt(200) + sqrt(200) - sqrt(200))\/sqrt(10) - sqrt(20) - sqrt(20))\/sqrt(4) + 2*sqrt(30)\/sqrt(6)*5)**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 7:07 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17463 + 2577. What is j rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 23080\/(-15)*-6. Round g to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2 (c) 1 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.45685g in tonnes?\nAnswer: 0.00006545685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 4*c**2 + 7*c + 3. Suppose -103 = 6*n - 877. What is the remainder when n is divided by o(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07227 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*b + 779 = -3*j, -157 = -2*b - 4*j - 357 + 174 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*2\/(-4)*(-6)\/(-4). Solve 3*l + c = 4*r, 0*r = r - 2*l + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -1 - 11) + (-1204)\/(-1462) + 2 + -2.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 653*o - 6108*o - 2654*o.\nAnswer: -8109*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17734 - 6383. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*j + 7 - 67. Which is the nearest to -1\/40? (a) j (b) -2\/9 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7754700 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19870645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1 (b) -0.1 (c) 3.227\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/((3\/(-30))\/1). Suppose 25 - l = -3*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/4)\/((a*(a*a**8)\/a)\/a) assuming a is positive.\nAnswer: a**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1597 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (sqrt(66) + sqrt(66) + -1*sqrt(66)*6 + sqrt(66)) - sqrt(66) - (sqrt(66) - sqrt(66)*2)*-3)\/(-1*sqrt(6)*-3 + sqrt(12)\/sqrt(32)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 34 - 17 = -5*d, 146 = -2*y - d. Let o = y + 67. Which is smaller: o or 6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 672 = -39*f - 25*f + 65*f for f.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.74 - 8144.24.\nAnswer: -8120.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 14*t**5 + 94*t**4 - 140*t**3 + 32*t**2 = 0.\nAnswer: -8, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5068584 divided by -404\nAnswer: -12546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:02 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1248458669?\nAnswer: 19, 137, 479623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -1010.\nAnswer: -1010.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/11)\/(s\/s**(11\/6))*s**(1\/19)\/s**4 assuming s is positive.\nAnswer: s**(-3677\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 87495801.9 plus 3446?\nAnswer: 87499247.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66))\/sqrt(6) - (sqrt(88)\/sqrt(128) - sqrt(11)).\nAnswer: 7*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 2\/9, 4, 0, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-five quarters of a millisecond?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slllsslmsll. Give prob of sequence sm.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2*p**3 + 2\/5*p**4 - 64\/5*p - 56\/5*p**2.\nAnswer: 2*p*(p - 4)*(p + 1)*(p + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l - 52*l = -3*b + 16395, 0 = 3*l - 9. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = l - 7, -76*r + 73*r = 2*l - 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/58 + -131\/290. Suppose -5*c + 2*u + 25 = -0*u, -10 = -5*c - u. Suppose -13 = -3*h - 4*o, -c*h + 4*o = 23 - 4. What is the closest to 1 in k, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*o - 4 = -2*o, -4*j = 3*o - 15. What is the common denominator of (j - (-290)\/(-28)) + 0 and -149\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 + 26*q**2 + q - 18. Let g(s) = s**2 + 4*s - 19. Let p be g(4). Let k be t(p). Let j(y) = 2*y + 11. Determine j(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113d7b (base 14) in base 3?\nAnswer: 1002211101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 8:03 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3787*x + 267. Suppose 3*u - 35 = -47. Is f(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3)*(-18)\/(-4). Suppose 4*b = -i - 1, 2*i + y*b + 6 = 3*i. Find the first derivative of 4 + 2*c**3 + 0*c**i + 0 - 5 wrt c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/9 - (-258)\/54. Is (l\/4)\/((-2)\/(-152)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 45*x. Suppose 3220*w + 870 = -5*h + 3219*w, h + 5*w = -150. Let j(l) = l. Determine h*j(d) + 5*q(d).\nAnswer: 50*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -83167, -84102, -86645, -91600, -99771, -111962, -128977, -151620?\n\"Answer: -134*z**3 + 3*z - 83036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -218*q + 32 + 5418. Let a(v) = -v**2 + 4*v. Suppose 8 - 2 = 2*t. Let f be a(t). Solve -f*l + 0*u - q = 5*u, -5 = 2*l + u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 2*p**2 + 4*p - 4. Let b be h(2). Suppose b*i + 4*i - 352 = 0. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 4 + 10. Suppose 0*z + 2*c = -2*z, z = -2*c - x. Suppose z*b = 3*l + 5*b - 135, 2*l = -3*b + 86. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - 5*z - 10. Let s be n(-3). Sort 1, -2, s, 5 in ascending order.\nAnswer: -2, 1, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 5420*p + 1921840. Determine w(-334).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6063 - -6077. Let m(k) be the first derivative of 5\/4*k**4 - 6*k**2 + 4*k + k**3 - c. Factor m(a).\nAnswer: (a - 1)*(a + 2)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 - -101. Find the second derivative of -p - 43*p**2 + 6 + 4*p**2 - o*p**2 + 8*p**2 wrt p.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478 + 95 = d. List the prime factors of d.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:40 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -11*n + 37. Let t = 8 + n. Calculate the least common multiple of 3 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 2*d**2 - d + 13. Let w be t(0). What is the greatest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35 - (0 + (1 - 0)). Suppose 3*c - 2*c - 11 = 0. Let y = d + c. Round y to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 218208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w - 1\/2*w**2 - 1. What is m(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(2\/4*4). Suppose 0 = 4*z + l - 125, t = -0*z + 4*z - 4*l - 120. Is 31 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*3\/(-3) + 4. Solve 0 = -4*p - k*o, -5*o = -4*p - 32 - 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -360*f + 7564. Let g be r(21). Determine q so that 10\/3*q**2 - 5*q**3 + 0*q + 0 + 5\/3*q**g = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*c**2 + 25 + 43 - 68 to the form w + o*c**2 + d*c and give o.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 0 - 2)*(v - 4*v + 4*v) + v + 5*v - 4*v + 3*v + 3*v - 4*v - 4*v + 3*v + 2*v to the form u*v + l and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 less than -6450\/5053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121706 and 1014?\nAnswer: 4746534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -108 + 14 - (-11 - (-22 + 4))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 3. Let i be n(6). Suppose -12*v = -13*v + 2. Let p(j) = 2 - j**i - j**2 - 1 + 5*j**2 - v*j - j**2. Give p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2098?\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76152 and 304?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1646.\nAnswer: 4938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6 = -0*o. Let l be (-379)\/5 + 1 + o. Let n = l - -77. Which is the smallest value? (a) 5\/3 (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(-6*(-3 + (-2 + sqrt(320))**2) + (sqrt(1620)*-1)\/sqrt(9)*5).\nAnswer: -5778 + 486*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13035223 - -11?\nAnswer: 13035234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.72001 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*s**4 + 86 - 86 - 16*s wrt s.\nAnswer: 132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) 3 (c) 0.275 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35b66 - -41?\nAnswer: -35b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + (-48)\/27.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 = -43*y + 38*y - 71 for y.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a millimeter in micrometers?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*g + 38, 2*g - 4*o = 118 - 98. Solve 0 = -g*t + 92 - 122 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 166, 4453, 4, -4 in descending order.\nAnswer: 4453, 166, 5, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 179?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 20 = -w, -3*w - 3*k = -0*w + 15. Suppose 4*d - 332 - 340 = w. Is d\/(-9)*3\/(-2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h. Let n(v) = -5*v. Let s(z) = 5*n(z) - 4*p(z). Let y(k) = k**2 - 2*k**2 + 3*k**2 - 5*k**2. Give y(s(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 1.3, -0.5, -0.04, 845\/3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 15*r**2 + 18*r + 278. What is y(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4710*z**2. Let s(w) = 2*w**2. What is n(s(b))?\nAnswer: -18840*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56828 is divided by 268.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -840, -2979, -6544, -11535, -17952, -25795?\nAnswer: -35064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2366.358 rounded to the nearest ten?\nAnswer: -2370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39273 is divided by 1451?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(8)\/(sqrt(8)\/sqrt(2)) - sqrt(2))**2 - sqrt(2) - sqrt(2))*2.\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 2*l**2 - 2*l - 6. Let o(g) = 2*g**3 + 6*g**2 + 5*g + 18. What is -4*o(r) - 11*w(r)?\nAnswer: 3*r**3 - 2*r**2 + 2*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8bc (base 14) to base 5\nAnswer: -23414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 - -74. Is z bigger than -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/206784)\/((-37)\/15660753) + -3. Let l = a - 2\/39849. What is the common denominator of -51\/16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p + 3. Let s = 236 - 44. Let c = s + -201. Let k(f) = -17*f - 13. Determine c*w(b) - 2*k(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 835274129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 3*l + 1. Let d(x) be the third derivative of 0*x - 1\/60*x**5 - 5\/12*x**4 - 3*x**2 + 4\/3*x**3 + 0. Let y be d(-11). Give s(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -383, -861, -1549, -2447?\nAnswer: -3555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, l: 2, r: 2, g: 1, v: 1}. What is prob of picking 1 w, 1 g, 1 v, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqn when three letters picked without replacement from {x: 3, q: 1, w: 2, k: 6, n: 1}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 5*p**4\/24 + p**3\/3 + 1309*p**2. Let w(k) = 30*k + 13. What is 39*i(b) - 6*w(b)?\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in 119, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102\/2 - 21675\/850)*(-6)\/(-27)*15.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 511418357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167047395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10232 is divided by 1024?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1029275\/47505)\/(-9 - 1).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308050814.\nAnswer: 2, 5237, 29411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**7\/525 + 7*x**6\/75 - 3*x**5\/5 + 23*x**4\/15 - 31*x**3\/15 - 82*x**2. What is d in n(d) = 0?\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3920)\/700)\/((-56)\/490).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - w - 5. Let s be g(-2). Let m = -843 - -833. Sort m, -5, s.\nAnswer: m, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.009588 + 1509957.\nAnswer: 1509956.990412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 9*s**2 + 11*s - 16. Let w be a(10). Put w, 4, 1 in decreasing order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) -373 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, h: 4}. What is prob of picking 1 c and 1 h?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (0 + (5 - 9))) + -5 + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -673*b. Let f(s) = -60*s**2 - 113*s - 2. Calculate f(k(c)).\nAnswer: -27175740*c**2 + 76049*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 + -5?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 54*g - 18*g - 13*g - 16*g - 19 - 9*g. Let r(p) = 7*p**2. Calculate x(r(u)).\nAnswer: -14*u**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00535979498 rounded to 4 decimal places?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-47 - -34) + 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -50. Let d(j) = 11*j**2 + j + 3. Is d(h) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77934 is divided by 19432.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 7. Let b = i + -2. Let p(g) = -2*g**3 - 4*g**2 + 4. Let h be p(-2). Solve b = -h*j + 2*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*u - 44*u + 169*u)*(-2*u**2 + 5*u**2 - 2*u**2) + 0*u**3 + u**3 + u**3.\nAnswer: 207*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 1 (b) -2\/7 (c) 6 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 9*b + 50 = -6*b, 10 = -5*b. Calculate the remainder when 415 is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 377, 1506, 3387, 6020, 9405, 13542, 18431?\n\"Answer: 376*j**2 + j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y + 5*v - 5 = 0, -5*v = -4*y + 10. Let q be (5 - y) + 1 + 1. Suppose 2*p - 6*x + 2*x = 58, 2*x - q = 0. Is 31 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/8 and 15\/155792.\nAnswer: 155792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -260.5 + 264.453. Let l = b - -0.247. What is the second biggest value in 5, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/4 - 5619*y\/4 + 4212 = 0. What is y?\nAnswer: 3, 5616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 890*y**2 + 6700*y + 17000.\nAnswer: 5*(y - 170)*(y - 10)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l**3 - 3*l**3 + l**3)*(52 + 9 + 6) + (l**2 + 3*l**2 - 2*l**2)*(-l + 6*l - 4*l) to u*l**3 + k + y*l + j*l**2 and give u.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3 - (-3 - (10 + -8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 5 = 7*p, -2*p + 1114 = 2*w. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(128) + 0 + sqrt(8) + sqrt(2) + sqrt(2) + (sqrt(576)*-1)\/sqrt(8).\nAnswer: -1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**3\/2 + 33*i. Let l(n) = 16*n**2 - 26*n + 2. Let h(p) = 32*p**2 - 65*p + 5. Let s(g) = -2*h(g) + 5*l(g). Give r(s(j)).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -14*w**3 + 107*w**2 + 926*w + 840. Let g(p) = -6*p**3 + 54*p**2 + 466*p + 420. Let f(t) = -5*g(t) + 2*q(t). Factor f(x).\nAnswer: 2*(x - 35)*(x + 1)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 20*c**3 - 14*c**2. Let o(q) = q**3 - q**2. Let n(u) = -195*u - 279. Let d be n(-1). Determine d*o(p) + 6*w(p).\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1486.98527 - 1487. Let u = g - -0.24603. Let o = u + -0.23. What is o rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(48)*2*5.\nAnswer: 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 18 - 58 = 0. Let m = 11 - o. Suppose 216 - 228 = -4*f. Calculate the highest common divisor of f and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6*y + 196 = 0. Let i be (-1 - -5)\/((-14)\/y). Let t = i + 15. Is t less than 1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 - 4. What is the units digit of f(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 - 75 + 2*m)*(2*m + m + m**3 - 4*m - 29).\nAnswer: 2*m**4 - 2*m**2 - 58*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z + 72 = 2*x, 10 = 5*x. Let w be z + -3 + 5 + -4. Suppose -16 = 4*j, 2*d + 0*d = 2*j - w. Round d to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -762\/5 or -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1601 - -1604. Solve -t*b - 10 = -2*v, -2*v - b = 2 - 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673763 is divided by 1110?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -202*u**2 - 6060*u + 10. Give m(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116.7 + 392. Let f = 275 - q. Which is the closest to f? (a) 0 (b) 1 (c) -2\/7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80271625 and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 7:58 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6292) - (sqrt(6292) + 1 - sqrt(6292))) + 4 - sqrt(6292))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 10*b**2 - 10*b - 19. Let o be i(11). Sort 1\/3, 1, o.\nAnswer: o, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((354\/(-178) - -4) + -2). Suppose -8*g + 129 = x. Sort -2, -1, 10, g in increasing order.\nAnswer: -2, -1, g, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1540)\/(-2541))\/((-54)\/(-594))?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6869 = 9028*l + 56327 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 275a9 - -1?\nAnswer: 275aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 350\/(-21)*(-2 - (-115)\/65) + -4\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*h - 269, -79 = -3*h - 2*t + 76. Let w = h + -31. Suppose 2*z - 12 = -3*b - 0, -2*b - w = -2*z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151 + -1541 + 1524 + -8 + -1.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 + 455 = 11*q. Suppose 38 = 3*i - q. What is the lowest common multiple of i and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*f + 6. Let g = 4.9311 + 0.0689. Which is the biggest value? (a) -0.3 (b) g (c) 3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -1\/6 (b) -2 (c) 0.2 (d) -5 (e) 777\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -12 (b) -1.3 (c) -0.3 (d) -0.1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-64)\/20*(-20)\/8. Let o be (-3)\/4 + (-34)\/h. Suppose 115 = -14*m + 17. Is m greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -12.31?\nAnswer: 17.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*w - 78, 4*w = -8891*j + 8892*j - 10. Let 16\/13*r**w - 16\/13*r - 2\/13*r**4 - 12\/13*r**2 + 14\/13 = 0. Calculate r.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2658\/(-4))\/(-5 - (-155)\/30). Let y = p + 5628. Let x = y - 13111\/8. Find the common denominator of x and -53\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 3*g**2 + 6. Let o = -457 - -454. Let q be b(o). What is the highest common divisor of 140 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 5\/3*t**3 + 14*t**2 + 1\/8*t**4 + 0*t + 0. What is the derivative of y(u) wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2113.487 millimeters in centimeters?\nAnswer: 211.3487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-18) - (-1545)\/2781)\/((-40)\/(-6))\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829009658?\nAnswer: 2, 3, 7, 43547849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -1*(6 - 3). Suppose 0 = 3*j - h*j. Suppose -2*r + 7*r - 25 = j. Solve 0 = 3*k + 15, -r*s + k + 10 = -0*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 170\/35)*35\/(-10). Suppose -v + 0*a - 9 = 3*a, 2*v + 3 = -a. Solve v = -5*y - 4*d - 6 - b, 2*d - 3 = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 9) to base 4.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + 2*-4*sqrt(3) + (sqrt(768) + 3*5*sqrt(768))**2.\nAnswer: -8*sqrt(3) + 196601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kuunn. What is prob of picking 1 u, 1 n, and 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331913, -1327659, -2987235, -5310641, -8297877, -11948943?\nAnswer: -16263839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {j: 7, q: 5, v: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 7:10 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 376 - 381. Let j(u) = -44*u - 28. Let g(v) = 8*v + 5. Let a(s) = 8*s + 5 + 6 - 6. Let w(d) = -3*a(d) + 4*g(d). Calculate r*j(m) - 28*w(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 11*s**2\/3 - 24418*s\/3 - 1480 = 0?\nAnswer: -2\/11, 2220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.4 + -13.3. Let c = -5399\/7 - -771. What is the nearest to -2 in c, i, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (21 - 28 - 3 - 4).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1172468367?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4688 divided by -2344?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -33. Let p = -53 + 82. What is the remainder when (p - 0) + (-10)\/5 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*a - 114 = 0. Suppose m - a = 5*c, 5*c + 23 = 2*m - 0*m. What is the nearest to -2 in m, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -3) + (3 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18696 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-145)\/20)\/(-29)*4\/(-6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2600) - 2*sqrt(2600)*-5 - sqrt(2600)))\/(2*-1*-6*sqrt(12)\/sqrt(6)).\nAnswer: -50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = 4. Suppose 1 = -5*l + 4*s - 6, -s = l + 5. Let j be 0 - (-2)\/10*-4. Sort d, l, j in increasing order.\nAnswer: l, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3 = -1. Let j be (14 - 3) + (-5)\/5*3. Let u be 42\/j + n\/4. Solve u*l = 2 + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2*y = 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5364*b**4 - 1705756*b**3\/3 - 30720052*b**2\/3 - 7636*b\/3 = 0. What is b?\nAnswer: -83, -23, -1\/4023, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xux when three letters picked without replacement from uuuuuxuuuuuxuxuxux.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 10*z + 1401 = 0. Let y = z + -465. Solve y*u - 3*u = 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5*l = -85, 3*l + 95 = -324*w + 316*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -2*a**3\/3 + 280*a**2 - 558*a - 990. Solve v(h) = 0.\nAnswer: 1, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 123871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -711 - -7401. What are the prime factors of h?\nAnswer: 2, 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22727\/32164 + -3\/1462. What is the common denominator of k and 143\/360?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 21*a - 4. Let d(y) = 336*y - 63. Let k(p) = 4*d(p) - 63*z(p). Let u(f) be the first derivative of 4*f**2 + 26679. What is k(u(v))?\nAnswer: 168*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7952 = 257*p - 541*p for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -24*x + 157. Give c(21).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 1. Let g(v) = 2*v**2 - v - 6. Let r = 14 - 10. Let t(w) = r*z(w) + g(w). Is t(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 51*z**2 - 91*z + 326. What is p(-49)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1089)\/(-39) - (459\/117 + -4).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 3*p**2 + p - 5. Let k = -23 + 19. Let z be i(k). Let b(g) = -g**3 + 8*g**2 - 9*g + 2. Give b(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000286286 rounded to 6 decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 + 5763*k**2\/4 - 46055*k\/4 + 86325\/4.\nAnswer: -(k - 5755)*(k - 5)*(k - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 3.1846\nAnswer: -1.27384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*c + 21. Calculate the least common multiple of 19 and c.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 8*w**2 + 2*w - 10. Let h be n(8). Find the first derivative of -2*l - h + 2*l - 2*l wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 6*r - 51. Let s = 175 - r. List the prime factors of s.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) -30\/7 (c) -5 (d) 1 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2 - 6 = 0. Suppose 8*j - 4*j - 26 = 3*r, 4*r = v*j - 18. Let q be 4\/4 - r\/2. Solve 2*h = -q*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 6. Let m = 0 - p. Solve m*a = -a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p - 8. Let w be ((-20)\/(-16))\/((-13)\/(-104)). Suppose -4*z = -8, 3*z - 6 = -p*d + w*d. Solve -4*s - 3 - 5 = d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 384 and 181952.\nAnswer: 1091712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.602 to one dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3608)\/(-308) + 12\/(-1) - 771\/21. Is -75 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide -4 + (-36)\/(-4) + 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 81.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91422.9 tonnes in nanograms?\nAnswer: 91422900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 0.2 (c) -2676 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2. Let b(m) = 2*m - 2. Let n(g) = -8*g + 4. Let o(f) = 4*b(f) - n(f). Give o(u(l)).\nAnswer: 16*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 100122 (base 3) to base 8\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (160\/(-14) - 4\/7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3273105?\nAnswer: 3, 5, 11, 83, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d - 25 = 0. Let y be ((0\/d)\/(-1))\/2. Let q(a) = 0*a - 7 + y*a**2 + 8*a + 0*a - a**2. Determine q(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 109148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -1 (b) 13\/41 (c) 9\/11 (d) -0.4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1818232 + 2181544.\nAnswer: 3999776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -44*x**3 - 24*x**2. Let l(o) = -9*o**3 + 9*o**2 - 7*o**2 - 7*o**2. What is 24*l(u) - 5*t(u)?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-129)\/344*(-1)\/(-6).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1020401 + -23041?\nAnswer: -1043442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v - 4. Let s be q(4). Suppose 0 = -3*h + 4 + 2. Let g be 68 - (h*-1 + 0). What is the greatest common divisor of g and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 50?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 426\/19 (b) 4 (c) 3\/260 (d) 1.6 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1118784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1431*-1.\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -32. Suppose 0 = -4*h - h + o. Let z be -3 + -4 + 3 + h. Solve b + 0*b + 1 = z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 + 2312*g**3 - 4656*g**2 - 9248*g + 18560.\nAnswer: 4*(g - 2)**2*(g + 2)*(g + 580)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k + 8941 - 16795 = 0. Solve -100*z - k = -151*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/2*516\/6 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) - (-57)\/6. Suppose 0 = 2*m - 5*u + g, 21 = 6*m - 2*m + 3*u. What is the greatest common factor of m and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 59?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-90566)\/12938*1\/(7\/(-62))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -18. Calculate the remainder when q is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 0, 4\/91, -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 4*t - 32. Let z be d(7). Let p = z - -75. Let f = 21 + 5. What is the lowest common multiple of p and f?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319, 661, 1005, 1351, 1699, 2049, 2401?\nAnswer: 2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*g, -g + 0*g = 0. What is the second derivative of u*t**3 - t**4 + 0*t**3 + t + 5*t**4 wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 446*p. Let v(d) = -89*d. Give v(y(b)).\nAnswer: -39694*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*i - 3*i - 6)*(-10*i**4 + 10*i**4 + 15*i**4) + 2*i**5 - 2*i**2 + 2*i**2 + (0*i**3 - i**4 + 0*i**3)*(i + 0*i - 3*i) - 3*i**5 + 2*i**5 + 4*i**5.\nAnswer: -8*i**5 - 45*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -11 and -0.02321469912.\nAnswer: -11.02321469912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q = 66. Let z be (q\/(-6) + (-14)\/42)*-6. Calculate the highest common divisor of z and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 650 + 3?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 8*f**2 + 21*f + 10. Let d be l(-10). Suppose d = 21*t - 4*t. Solve t = -9*g + 10*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44255 equal to 44211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -72.34 and 324.\nAnswer: -23438.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 35 - 15. Let n be (-4)\/w + 1285\/25. Suppose 4*s + s = 5*h - 60, -4*h + n = -s. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 3:30 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 2:24 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3.8. Is -1\/3 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48080371.47 rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 - 142 - (77 + 15)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10382*h**2 - 9461*h + 72. Let w(i) = -2*i**2 + 6. Let b(k) = f(k) - 12*w(k). What is the second derivative of b(u) wrt u?\nAnswer: -20716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (996\/(-9) - 2)*-18. Suppose -x - 3*x = 4*n - 1988, 0 = 4*n - 4*x - i. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 5\/1 - (1 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -8 - 1 - 10*f - f**2 + 0*f + 0. Let c be h(-8). Let w be c - -8*1\/(-2). Solve -w*m + 6 = 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10086696720 - 16201477961. Let a = -6114781215.99999993 - u. Let l = a - 25. Round l to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/90 and -53\/13300.\nAnswer: 119700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-229 + 25*r + 229)*(4*r - 5*r - 2*r + ((1 + 2 - 1)*(-r + 0*r + 3*r) + 2*r - r + r + 2 + 0*r - 4 - r)*(22 + 4 + 13)).\nAnswer: 4800*r**2 - 1950*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.23 (b) 28 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 + 2*p - 5. What is x(-5)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 7:22 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 388 times -671\nAnswer: -260348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f - 37. What is a(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8592*z**3 - 31065 + 31067 - 954*z**3 + 11063*z**3 in the form g*z + p + h*z**2 + y*z**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*-39477198.\nAnswer: 43424917.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -132652 + 132649. Let t be 1\/4 - 75\/12. Put u, 1, t, 28 in increasing order.\nAnswer: t, u, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (2\/3)\/(135\/(-2040))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 730 in 2\/9, -3\/55, 1\/6, -2\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-12)*((-30)\/3)\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-1549244\nAnswer: 309848.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 6 = -3*j. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:38 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (39\/(-39))\/((-2)\/10). Suppose 20 = -h*v, 2*c + 4*v + 16 = c. Which is smaller: 1\/9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584*w + m = -585*w + 2, m + 7 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/((-6 + (-7122)\/(-1188))\/(-11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 + 66 - 13*m - 2 + 2 - 2*m + (-5*m + 2*m + 5*m)*(-1 + 2 + 1))*(1 - 1 + 3).\nAnswer: -33*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 2*o - 16, 0 = -3*i + o + 12. Let g(j) = -j**2 - 5*j + 3. Let y be g(-5). Solve -2 + y = 3*h - i*l, 0 = 2*l + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeee. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24103, 24512, 24919, 25324?\n\"Answer: -g**2 + 412*g + 23692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1089 = 2*w. Let a = w - -574. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*x - 1416693 = 86*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1791 divided by -16.\nAnswer: -1791\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1730?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from cwwawcccccccnnwnnn?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (105*k + 62861 + 140*k - 62860)*(k - 1 + 1) to q*k + h + s*k**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2656831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -182.0917 to 1 dp.\nAnswer: -182.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19985, 19986, 19987?\nAnswer: 19988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.74 + 0.24. Let o = -5.4 - i. Let s = o - -2.1. Which is the closest to s? (a) -0.3 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 48.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**2 + 0*o**2 + 0*o**2)*(4*o + o - 6*o) + 6*o**3 + 2*o - 2*o + 7*o**2 - 6*o**2 - 2*o**3 - o + 6*o in the form l*o + g*o**3 + u + j*o**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 6*w - w)*(416 - 1086 - 1931) in the form q*w + j and give q.\nAnswer: -13005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 + 3 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16701 (base 11) to base 9\nAnswer: -35173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 191*r - 1. Let t(f) = f**2. Calculate t(p(x)).\nAnswer: 36481*x**2 - 382*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 96*v - 255, 99586*v = 4*z + 99581*v - 74 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 1926562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -13 - ((-100)\/10 - 5). Solve 2*r + 20 = 6*l - a*l, 4*r + 25 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1216)*1)**2 + -5 + -5 + (1*sqrt(1216) - sqrt(1216)) + sqrt(1216) + 2.\nAnswer: 8*sqrt(19) + 1207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 - -0.08. Let l = m + 4.97. Which is the third biggest value? (a) 4 (b) l (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (10 - (9 - 22))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -245885848.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-54))\/(((-10)\/(-6))\/(860\/258)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 3*v + 4, 5*z - 13 = v + 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b + 12 = 0. Suppose -j = -u - 2*j, 6 = u + b*j. Is 14 a factor of (-160)\/(-12) + u\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 55 = -0. Let a(p) = -2*p - 7. Suppose 0 = -5*u - 10, 3 = -3*f + 3*u - 6. What is the lowest common multiple of q and a(f)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, -74, -575, -1550, -3155, -5546, -8879?\nAnswer: -13310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-10)*(-8)\/102. Let g = q - 1\/17. Let v = 410.9 + -411. Which is the nearest to v? (a) g (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 461 + -435. Let g = i + -30. Let n = -3.7 + 0.7. Which is the nearest to 21\/2? (a) n (b) g (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*v + 556*v - 39321 = 321*v for v.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -45.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-9)\/(-6)*-4. Let i = 23 + -26. Is i greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-10)\/(h*h**(-5\/4)) assuming h is positive.\nAnswer: h**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 8. Let i be m(-6). Suppose -51 = -i*r + 47. Calculate the greatest common divisor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.17 - -0.24. What is the closest to b in -5, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2\/5 + 8662*b\/5 + 5199 = 0.\nAnswer: -3, 8665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -177 + 177.206. What is b rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 7*o - 15. Is k(-8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8619220 + 0.4.\nAnswer: -8619219.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and 385 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*u + 9 = 4*l, 0 = -5*u + 15. Let c(y) = 4*y + 3. Let p(n) = 5*n + 4. Let z be (3\/9)\/((-2)\/18). Let r(b) = z*p(b) + 4*c(b). Determine r(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(0 + 0 - 2*j**2) + (-2*j**2 - 4*j**2 - j**2)*(-1 + 0 + 4).\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 21577 - 16*b**2 + 21578 - 8*b**2 to the form i*b + q*b**2 + w and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420*g - 333*g - 330*g - 325*g + 563*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-27.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 4:05 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y + 18. Let g(i) = i + 1. Determine 3*g(c) + m(c).\nAnswer: c + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*k - 95*k + 40. Let o = 1439\/12 + -120. Which is the third biggest value? (a) 0.1 (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/14 + 26\/(-35)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11298107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 - (2 + -5)) + ((-28)\/(-7) - 4). Solve 22*b + 111 = -m*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 10:58 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1031*l + l**3 + 2*l**3 - 422*l + 120*l**2 - 609*l.\nAnswer: 3*l**3 + 120*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*u - 54*u + 16. Solve -u*m + 21 - 37 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - 8*t - 96. What is the tens digit of o(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -2*g**5\/15 + g**4\/3 + 2*g**3\/3 - 4*g**2\/3 - 8*g\/3 + 16. Factor j(k).\nAnswer: -2*(k - 2)**2*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.00000044 - -20. What is h rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/121*(-2)\/((-8)\/4)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-10 - (2 - 1) - (-5 + 68))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-35) - ((-234)\/45)\/13.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 66*i + 190. Let n be m(-3). Calculate the greatest common divisor of 710 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30254, 60503, 90752, 121001, 151250?\n\"Answer: 30249*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -296\/193 + 30047\/9650. What is the common denominator of 173\/30 and w?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - 0. Let w = 2 + -1. What is the least common multiple of -3*(-2)\/g*-1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w. Let l(z) = z**2 - 7*z - 14. Let y be l(-2). Sort y, 3, w.\nAnswer: w, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**14)**(-39)*(k*k**(-23)*k)\/(k*k**4\/k) assuming k is positive.\nAnswer: k**(-571)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -198166 divided by -99083?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10022100321033 + -1?\nAnswer: -10022100321100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-408)\/16*(-10)\/(-36) and -99\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 1)\/((-6)\/9). Let y be t - (1 + -1*2). Suppose 2*m + 28 = y*m. Calculate the greatest common divisor of 56 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2997608 and 16?\nAnswer: 5995216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 3*d**2 + 7*d + 4. Let l(w) be the first derivative of -w**2\/2 - w + 1. Let h be l(4). Is m(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -29*s**2 - 5*s + 6. Let q(i) = -30*i**2 - 6*i + 6. Let y(k) = 3*h(k) - 2*q(k). Let u(m) be the first derivative of y(m). Is u(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 9 - 2) + 27 + -35.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 325*n - 1621. Give x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -485, -1231, -2243, -3521?\n\"Answer: -133*q**2 - 347*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 165, 2\/33, 1, -172 in decreasing order.\nAnswer: 165, 1, 2\/33, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11455 or 11389?\nAnswer: 11455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (54\/(-21))\/((-2)\/42). Suppose 55 = g - k. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(176\/(-99)))\/((-18)\/(-3)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246, 987, 2206, 3891, 6030, 8611?\nAnswer: 11622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**2 - 470418*d + 18811920 = 0?\nAnswer: 40, 156766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/7 + (-10)\/35. Suppose -o*r + 37 = 5*p, r - 3*r + 19 = -p. What is the highest common divisor of 88 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.2361 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*r, 0*x + 3710 = 5*x - 5*r. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 142 = 5*v, 0*m - 140 = -2*m + 4*v. Suppose -3*w + m = 2*j, -5*j - 5*w + 2*w = -147. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -0*f + 2*f. What is the units digit of (6\/4)\/(5\/f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u**2 + 3701*u + 11093. What is l(-3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2499 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/54*(-540)\/(-720). Let g = 0.06 + 4.94. Let p be (-6)\/4*22\/11. Sort g, p, -0.1, q in descending order.\nAnswer: g, -0.1, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - w**4 + 2*w - 4*w + w + (3 - w**2 - 3)*(2*w**2 + 0 + 0) - w**4 + w**2 - w**2 - 29 + 29 - 27*w**4.\nAnswer: -31*w**4 - 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -207\/4*q**4 - 39*q**2 + 81\/4*q**5 - 107*q**3 - 4*q + 0 = 0. What is q?\nAnswer: -1, -2\/9, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*v**4 + v - 2*v**3 - v**2 + 169 + 158 - 329 - 3*v to c*v**4 + r*v**2 + i + j*v + o*v**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13336399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1570*o - 5481. What are the prime factors of p(26)?\nAnswer: 35339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(76) + 1.\nAnswer: -4*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccc. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -337 (base 8) in base 11?\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 109746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/23 + 55\/69. Determine l so that -5\/3*l**2 - d*l + 0 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -36. Suppose v*q - 24 = -4*f, -q + 5*f - 1 = -6. What is the smallest common multiple of q and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**5\/30 + 5*p**2. Let l(k) = 2*k. Let y(j) = 0*j + 4*j - 2*j. Let d(m) = -l(m) + 2*y(m). Calculate d(f(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 12, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.395, 2\/3, 2, 4, -1\/2, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*y + 6 = -4*y, -3*y = -3*t + 6. Let c(l) = t*l + 0*l - 4*l + 3*l. Let i(w) = -2*w. Give c(i(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n*n*n**(-3\/5)*n*n*n\/(n**2*n)*n**(-2)*n)**42 assuming n is positive.\nAnswer: n**(-756\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/570928 and -37\/56.\nAnswer: 3996496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5688.04 - 3.\nAnswer: -5691.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2448 - -1430. Let x = 41736\/41 + z. Does 1 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 + 91. What is the lowest common multiple of k and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2839270 by 7.\nAnswer: 405610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 320 and 632.\nAnswer: 25280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.334617l to millilitres.\nAnswer: 334.617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 11*b**2 - b + 5. Calculate the remainder when 76 is divided by t(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -0.2 (c) 6 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o - 4. Let d be w(-1). Let y be (d\/(-9))\/((-42)\/(-18)). What is the nearest to 2\/3 in -2\/5, 3\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.038 and 18.62.\nAnswer: 0.70756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*k = -262*k + 3422. Solve -k*g = -67*g + 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*sqrt(104)\/(sqrt(64)\/sqrt(8)) + ((-1*sqrt(130))\/sqrt(10))**2 + -2 + sqrt(325).\nAnswer: 6 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4253947ml?\nAnswer: 0.0004253947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o - o + 9*o.\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - u + 2*u + 28, 2 = u. Suppose -h - 12 = -g. Suppose 8*k = 11*k - g. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*i + 48*i - 14*i**2 + (-2 + i + 2)*(-i - 4*i + 4*i) as t*i**2 + j*i + g and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 + 4*i + 14. Calculate l(8).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (29 - (95 - 33)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22401 - 22401 - 4779*t**2 - t + 2*t**2 + t + (3 - 2*t**2 - 3)*(1 + 1 - 3) - 4*t**2 + 2*t**2 + t**2 to the form p*t**2 + f + l*t and give p.\nAnswer: -4776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9858580.2 milliseconds to weeks.\nAnswer: 0.0163005625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 36 (b) -1 (c) 3\/7 (d) -2\/7 (e) 5 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1437?\nAnswer: 1\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*k + 2083 = 1418 - 21723 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 7462035?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 13 + 43)*(-1 + 0 + 2)*(-2*w**3 - w**3 + 4*w**3) as i*w**3 + q*w**2 + r + s*w and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 + 4*d - 5. Let f(u) = -9*u**2 - 7*u + 11. Determine -6*f(r) - 13*x(r).\nAnswer: 2*r**2 - 10*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(102)*2)\/(1*sqrt(384)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -444, -547, -650?\n\"Answer: -103*c - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v - 4*v + 4*v + 12 + (-1 + 0 + 0)*(v + 2*v - 4*v).\nAnswer: -2*v + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 180.51687 months in centuries?\nAnswer: 0.150430725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -70633 - -1?\nAnswer: -70632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**(-1\/2)\/p)\/p)**(1\/56))**(32\/3)\/((p\/(p*(p*p*p*p**2*p)\/p))**(-29)*(p**(-1))**(2\/41)) assuming p is positive.\nAnswer: p**(-41683\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -643 > -644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23445360, -23445359, -23445358?\nAnswer: -23445357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-1)\/(-1))*37\/(-148)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17100641 (base 8) to base 9\nAnswer: -7413378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 r, and 1 f when three letters picked without replacement from ppprjpfj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/17, 0.5, 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.1 (c) 5 (d) -47.109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48485 or -47439?\nAnswer: -47439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66308\/14 - 1*-2. Let u = -4730 + c. Calculate the common denominator of u and -127\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*w + 1866 = -2509 + 1295 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 + 0.1. Let l = 82 + -85.5. Let d = 3.47 + l. Which is the second biggest value? (a) d (b) 2\/15 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.137*5\nAnswer: -0.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 16\/(-8) - -7. Let i = 7 - 5. Let q(l) = -l + i*l**2 - l**2 - 1 - l. Determine q(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 407 + -8141\/20. What is the second smallest value in z, 2\/9, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1 + 257*h**2 - 5*h + 5*h. Let x be j(-1). Suppose 5*s - x = 62. Calculate the remainder when s is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(2\/9)*p**(4\/9) assuming p is positive.\nAnswer: p**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13588)\/(-28638) - 9\/(-111).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4510129 = 14*i - i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-3\/4)*(s**2\/s)\/s)**22\/(((s*s**1)\/s**(-6))\/(s**(-1\/3))**41) assuming s is positive.\nAnswer: s**(233\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18169, 72708, 163647, 291016, 454845, 655164, 892003?\n\"Answer: 5*m**3 + 18170*m**2 - 6*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 + 181 + 6571*o - 6501*o.\nAnswer: 70*o + 362","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 33 = 3*g, 0 = -5*g + 15. Suppose -h = -z + 3*z. Find the common denominator of -1\/14 and z\/20*53\/6.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.04 - 0.04. Let m be (-3)\/75*5\/(-2). What is the closest to -1\/4 in -4, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = v, -236 + 68 = 4*r + 4*v - 60 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -152056 (base 8) in base 11?\nAnswer: -378a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 7:31 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-3) + -3 + 35. Let w = -26 + t. Suppose 14 = 2*q + 4. Solve 2*o + 7 = -v, -5*o + 0*v + w = -q*v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvysyssyyyvyyy. Give prob of picking 3 v.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.74 + -16.80474. What is k rounded to 3 decimal places?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26180\/(-28)*30\/(-110). Calculate the greatest common factor of 165 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 4 - (36 - 33). Let o(a) = 9*a - 8. Let q(n) = 8*n - 7. Determine g*q(c) + 6*o(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9*z - 6. Suppose 3*f = f - 2. Let w(p) = -p - 1. What is f*c(n) + 6*w(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-116)\/(-9) + -5 + (-5)\/(-45). Suppose -7 = -2*n - 3. Solve -j + 4*t = -l, -n + 0 = -4*j + t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 13*q**3\/3 - 5*q + 11. Let s(r) = 634*r**2 - 654*r**2 + 5 + 3. Give -8*g(i) - 5*s(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + 12*y**3)*(0 + 0 - 1)*(-1 + 0 + 0).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 29, 18, 1737?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 1620?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**3\/7 - 30356*q**2\/7 - 91032*q\/7 = 0. What is q?\nAnswer: -7586, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 164*p + 17066. Calculate n(142).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16a8 (base 12) in base 16?\nAnswer: -aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-8) + 23\/4. Is 9 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -25001\nAnswer: 3\/25001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 455283 - -41?\nAnswer: 455324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(110)*-1)\/((1*sqrt(100))\/sqrt(10)))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u. Suppose -4*n - 7 = -2*s - 17, s = -4*n + 13. What is h(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 14629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 5:24 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3095 - -2922. Is 29 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1204\/9 + 134. Find g such that -8\/9*g + 8\/9 + j*g**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 15525*n - 27898442. Give z(1797).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -279*b**3 + 924110*b**2 + 2772414*b - 155 wrt b?\nAnswer: -1674*b + 1848220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -18*f - 159. Determine k(-14).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**4 - 40*g**2 - 3*g**4 + 29*g**2 wrt g.\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -471777, -471779, -471781, -471783?\n\"Answer: -2*a - 471775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30883 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/42 - (-8)\/28. Let a = 1 + f. What is the nearest to a in -0.5, -1\/4, 4\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yuuuyy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.98 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*g**2 + 48*g**2 + 6*g**4)*(-289 + 6*g + 289).\nAnswer: 36*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 29 + (-5 - (-4 - (6 + -5 + 2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.2 + -3. Let g = 1.2 - m. Let t be (-2 + 1)\/(1*4). Which is the closest to g? (a) 5 (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3027 + 3394 = 578*o - 6569 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 24428045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4025632 (base 7) to base 8\nAnswer: -1644366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 585 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - -1 - (-27 + (-39 - -48)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2. Let t(u) = u**2 - 2*u + 4. What is -2*o(h) + t(h)?\nAnswer: 3*h**2 - 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmzmmzdmugmmz. Give prob of picking 2 m and 1 z.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31668 = -160*g + 140*g - 792*g for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4262.\nAnswer: 2, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-29 + 11 + (-7 - (3 - -1)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*f**5 - 71592*f**2 + 1891640*f?\nAnswer: 380*f**3 - 143184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -339, -675, -1011, -1347, -1683, -2019?\n\"Answer: -336*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:46 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 11*d - 176. Let f be r(-24). Suppose 4*a - 129 - 613 = 3*t, 5*t = 5*a - f. Is -250 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7138, -13471, -19786, -26077, -32338, -38563, -44746?\nAnswer: -50881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**7\/70 - 3*x**5\/100 - 10*x. Factor k(l).\nAnswer: 3*l**3*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*a + 1327 - 1327 + 1 - 1 + a + (1 + 4 - 3)*(3*a + a - 2*a) + 0*a + 0*a - a + 4*a - a - 5*a + 0*a - a + 2*a)*(2*a - a - 2*a).\nAnswer: 35*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 496*j**2 + 2*j + 1. Is h(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -3, -4, 6\/7, 0.123?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*v**2 + 3 - 1 - 4 + 3*v + 3 in the form w*v**2 + k + r*v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u**3 + 2*u**2 + 6*u - 27. Is h(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10*j + 114. Let z be o(11). Find d such that 8\/5*d + 0 + 8\/5*d**z - 8\/5*d**2 - 2\/5*d**5 - 6\/5*d**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555*y - 3*y**2 + 555*y + 42*y**3.\nAnswer: 42*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 2*q - 21, 5*q = 40*g - 45*g - 35 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 939 - 599. Suppose z + 3*z = m. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*r - 1. Is 2\/11 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 12*r**2 + 14*r + 15. Let v be d(-13). Suppose 96 = 5*w - v*w. What is the remainder when 59 is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srrrrrrrrrsrrrrrrrr. What is prob of picking 3 r?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5587231459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 1666218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-2))\/(12\/16). What is the third derivative of -u*k**2 + 0*k**4 + 4*k**2 + k**4 wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.886446ml to litres.\nAnswer: 0.001886446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 113800859 to the power of 1\/2, to the nearest integer?\nAnswer: 10668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-12 + -1 - -1)) + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 1, x: 4, n: 1, j: 1}. What is prob of picking 1 x and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 225549 (base 10) in base 6?\nAnswer: 4500113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889084.\nAnswer: 2, 193, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(170) - sqrt(170)*1)\/sqrt(10) + sqrt(833)*-6) + sqrt(85)\/sqrt(245) + sqrt(68)\/(3*sqrt(4)) + 1.\nAnswer: -3518*sqrt(17)\/21 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35\/2 + -17. Let q = -1117 + 1114. Which is the closest to 0.3? (a) -4 (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8745, 8750, 8761, 8778, 8801, 8830, 8865?\n\"Answer: 3*v**2 - 4*v + 8746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22788 - 4.\nAnswer: -22792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 350 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -2*u**5\/15 + 7*u**3\/3 + 11*u**2. What is the first derivative of q(t) wrt t?\nAnswer: -16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by (-7)\/(-2)*72\/126 - -46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 - 3)*(-1 + 3 + 0) + 1 - 3 + 4 - 1 - 6 + 4)*(-23 + q + 23)*(2 - 1 + 6) as x*q + y and give x.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - f**2 - 14*f**3 + 2*f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 260 = 2*v. Calculate the remainder when v is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 206730239 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b\/(b*b**0))\/b**(-10))\/(b**(-4)*b**(-9)\/b))**(-20) assuming b is positive.\nAnswer: b**(-520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25\/2 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 8744286.\nAnswer: -2\/4372143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s - 3. Let a(d) = -9*d - 7. Give 3*a(y) - 7*z(y).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 12*n**2 - 10*n - 14. Suppose -3*c - 5*w - 40 = 0, -2*c + 5*w = c + 20. Let h be t(c). Suppose 474 = 8*k - h. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**4\/12 - a**3\/6 + a**2 - a - 4. Let u(d) be the first derivative of z(d). What is u(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in -5, -20\/11, -4\/5, 3\/4, 1, -16?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, c: 2, i: 4}. Give prob of picking 2 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 6. Let a be f(4). Let y(k) = -3 - 2*k**a + k**2 + 0 - 7*k. What is the units digit of y(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1140\/33 - 60\/110 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 21. Let s be 3\/9*n*-6. Solve -5*w + 10 = t, 2 = -s*w - 4*t - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -117\/2*g**2 - 231 + 223*g. What is the first derivative of i(z) wrt z?\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2415441 is divided by 483079?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-126))\/(-1*(-2)\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1395 and 139869.\nAnswer: 21679695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1802 - -12\nAnswer: 1814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1915 and -3750.5.\nAnswer: 7182207.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4, -6*m + 71 = -3*m + 5*p. Suppose m*i + 11*i - 2912 = 0. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148439436 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 3*f - 28 + 16, -4*n - 2*f - 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbdbdbb. Give prob of sequence bbdb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-26*(-108)\/1053.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(y**4 - 2*y**4 - y**4) - 2 - y**4 + 2 - 3*y**4 + 0*y**4 + y**4 - 2*y**4 + y**4 - 3*y**4 - 168*y**4 + 2*y**2 + 162*y**4 - y - y.\nAnswer: -17*y**4 + 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 plus -0.077?\nAnswer: 643.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/90465 and 113\/7480.\nAnswer: 135335640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29490835 or -29490834?\nAnswer: -29490835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*c + 4*c - 18*c to the form v + t*c and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 684415?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 - -91. Let h = b - -108. Calculate the remainder when h is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8943590 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2712300 and 12100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4492279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79305392 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*z + 2*u, 5*u - 2*u = -5*z + 19. Suppose 5*q - 2*x - z = 15, -3*q - 4*x = -12. Solve -q*j + 0*c - 3*c = 16, -5*c = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13931 + -13934. What is the fourth smallest value in 0.3, 3, -5, f, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 147302 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10661 - 10441 = -11*c for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.72 and -0.04?\nAnswer: 0.6688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76.6554338 + 0.07.\nAnswer: -76.5854338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-8))\/(4\/(-24)). Suppose 62 = 5*l - g. Suppose -3*p + 5*j = -19, -2*p + 2*j = -p - 6. What is the remainder when l is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 507 - 712. Let h = z - -401. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -9\/20 (c) 2\/323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 6291136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 4*q**3\/3 + 17*q**2 + 45*q. Let j(w) = -8*w - 33. Let o(g) = -4*i(g) - 5*j(g). Differentiate o(a) wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*m**3*v**2 - 113701*m**3 - m**2 - 9146114*m*v**2 wrt m.\nAnswer: -48*v**2 - 682206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 9*w + 18. Give n(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 15, 0, 2, -374 in descending order.\nAnswer: 15, 2, 0, -2, -374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42707398?\nAnswer: 2, 31, 37, 18617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4139423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0147457475 to four dps.\nAnswer: -0.0147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 608 by 8.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 887867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-7))\/((7\/(-2) + 3)*(-3328)\/1664).\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*r = 3, -1 = -4*c + 5*r - 4. Factor 3*v**c - 3*v**2 - 2*v**2 - 9 - 6*v**2 + 21*v - 4*v**2.\nAnswer: 3*(v - 3)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 6) to base 2.\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173202422 and 1436.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 12:23 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 65*r**2 - 201*r - 216. Give v(68).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-4) + (-95)\/(-20). Suppose 0 = t*p + 6*p - 30. Which is the second smallest value? (a) 0 (b) p (c) 5 (d) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7*l + 52. Let o be x(-5). Suppose 89*y - 60 = o*y. What is the lowest common multiple of y and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246838798 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from dedxdeexdedxxxedeede?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, 6, -20, -84, -198, -374?\n\"Answer: -2*b**3 - b**2 + 17*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19291633, 19291605, 19291555, 19291471, 19291341?\nAnswer: 19291153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - 35100\/1152) + 1\/2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*(-3*((sqrt(175) - -2*sqrt(175)) + sqrt(175)) + 3 + 1 + 2 + 0 + sqrt(175)))**2.\nAnswer: -17050*sqrt(7) + 530336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o - 20 = -2*d, 3*d = -5*o + 20. Let b(v) = -v**3 - v**2 - 2*v - 4. Let f be b(d). Let i(c) = -4*c. Let k(j) = -5*j. Determine f*i(n) + 3*k(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 302 and 46961?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2501 - 1777. Calculate the remainder when m is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**2. Suppose 2*o + 3*v + 14 = 67, 5*o = 5*v + 95. Let t be (-230)\/(-55) + (-4)\/o. Let w(f) = -t*f + f + 2*f. Give w(y(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -4, 168, 4 in decreasing order.\nAnswer: 168, 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -16\/5*r**2 + 6\/5*r**3 + 0 + 4\/5*r**4 - 2\/5*r**5 + 8\/5*r = 0. Calculate r.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12717\/9891*(-3)\/(117\/(-56))?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v - 2. Is 17 a factor of c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 7*r**2 - 9*r - 9. Let i(o) = -o + 10. Let h be i(5). Let s be g(h). Let k(z) = z**3 + 4*z**2 + z + 1. Determine k(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6275*z - 6234*z + 12528*z.\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + 41*x + 15*x**5 - 41*x + (x**4 - 4*x**4 + 7*x**4)*(x + x - x).\nAnswer: 19*x**5 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 + 32*w + 400. Give u(23).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -444 - 15. Let i = p - -158. Solve 0 = -2*u + i - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8118 and 55022?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 11 + 0*a**2 + a**2. Let u(t) = t**2 - t - 1. Let m(n) = -5*n**2 + 4*n + 10. Let x(k) = m(k) + 4*u(k). What is -6*b(d) - 11*x(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Let a(h) = 3*h**2 + 1 - 3*h - 3*h**i + h**2. Suppose 0 = -3*z + 6*z - 6. Determine a(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 3190 = 3090 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 318 + -317.9. Let t = 131 + -134.02. Let d = t - -0.02. Sort 5, p, d.\nAnswer: d, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 579.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10930833 divided by -3643611?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010002 (base 4) to base 11.\nAnswer: 32a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-6)\/3)\/(8\/(-16)) and 70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -22. What is the smallest common multiple of c and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2843, -2871, -2901, -2933, -2967, -3003?\nAnswer: -3041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x. Let s(t) = -130*t. Calculate s(d(r)).\nAnswer: -650*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.03 (b) 3\/7 (c) -1\/11 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -45939\/2098 at least -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -24*t**2 + t**2 + 0*t**2 + 8*t**2 + 7*t**2. Let m(k) = 4*k**2 + 5. Calculate m(i(v)).\nAnswer: 256*v**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6682 less than -3?\nAnswer: 6679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25244, 201954, 681594, 1615628, 3155520, 5452734?\n\"Answer: 25244*z**3 + z**2 - z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8221 in 12, -0.4, -2\/9, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.16, 0.4, -51, -16\/5 in descending order.\nAnswer: 4, 0.4, -0.16, -16\/5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 6:39 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4920932 and 167?\nAnswer: 821795644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 73, -25, -211, -515, -967, -1597?\nAnswer: -2435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*q + q. Let x(d) = -d**3 + 6*d**2 - 2*d - 4. Let a be x(q). Suppose 2*v**3 - 10*v**4 - v**3 + a*v**4 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15813*b**2*v - 8431235*b**2 - 787*v wrt v.\nAnswer: -15813*b**2 - 787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*u**5 + 6*u**4 - 6*u**2 + 7692*u.\nAnswer: -240*u**3 + 72*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 23, 46\/5, -3?\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 3, -0.299 in increasing order.\nAnswer: -3, -0.299, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 4*k + 4*u - 172, 3*k + u = -121. Let i = k - -219. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and 33?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20798\/21 + 990. Let z = n - -22\/21. What is x in -10\/3*x**2 + z + 1\/3*x = 0?\nAnswer: -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6644969913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 12. Calculate the highest common divisor of 85 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121033302120 (base 4) in base 14?\nAnswer: c43c92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 327.7 + -723.4. Let y = h - -396. Which is bigger: 0.12 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1586 * -72948\nAnswer: 115695528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g**3 - g**2 - 7*g - 5. Let j(n) = -n**3 + n**2 + 2*n + 1. Let s(c) = b(c) + 4*j(c). Find the second derivative of s(f) wrt f.\nAnswer: -60*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + 3 + (-3 - -4). Let i(w) = w**3 - 3*w - 2. Suppose 2*r = -5*s + 7*s - 4, -19 = 4*s + 5*r. Let j be i(s). Solve j = -4*a + 8 + y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+19.671\nAnswer: 19.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 32*g**5\/7 + 1104*g**4\/7 - 2894*g**3\/7 + 346*g**2 - 738*g\/7 + 74\/7 = 0.\nAnswer: -37, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 27*b**3 - 3 + 127*b**3.\nAnswer: 154*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhffhh. Give prob of sequence fff.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8839 is divided by 345?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*f - 8. Let a be 4 + (-19 - (-8)\/f). Let v = 32 + a. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**3*k - 173*f*k**2 - 115*k**2 + k wrt f.\nAnswer: 3*f**2*k - 173*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b571d (base 14) to base 6.\nAnswer: 210313531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 13968.122 days?\nAnswer: 1995.446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 10, 4*r + 5*y - 3*y = 2868. Calculate the remainder when r is divided by 71.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/5)\/(q\/q**(7\/4)*q)*q**(14\/5)\/(q\/(q*(q*q**(-14))\/q*q)) assuming q is positive.\nAnswer: q**(-221\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-6)\/132*-70.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10950.\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12636*o - 12735*o + 2673 = 0 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (120\/(-63) + 2)*6. Suppose 5*c - 230 - 380 = -5*o, -2*c - 128 = -o. Let h = o + -128. Sort -0.4, -5, x, h in descending order.\nAnswer: x, -0.4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, -4, -202397 in increasing order.\nAnswer: -202397, -12, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(2\/21)\/l)*l*l*l**0)**(18\/13) assuming l is positive.\nAnswer: l**(492\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 204, 267, 386, 579?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5554949, 11109875, 16664801?\n\"Answer: 5554926*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -39. Let f(g) = -g + 117. Let m(q) = -2*f(q) - 7*j(q). Let y be m(-20). Let l(t) = 6*t. Give l(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**4\/4 + 56*p**3\/3 + 392*p**2 + 71. Factor k(i).\nAnswer: i*(i + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 1345. Let s(o) = o. Give s(g(w)).\nAnswer: w + 1345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4931 - 3356. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -29, -17, -1, 19, 43?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 7:19 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15957 and 470448.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Suppose -1 = j - 4. Suppose -f*o + 7 = -j. Solve 0*d = -r - d - 5, -o*r = -5*d + 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5163 and 9.\nAnswer: 15489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 998963 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*r - 5 = -29, w - 16 = -3*r. Suppose -3*b = -5*x + w, 4 = 3*x - 2*b + 1. Is 106 + (0\/x - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + -4.54. Round o to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.772 and 0.51.\nAnswer: -1.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -33*a**2 - 3*a + 2. Let d = 7310 + -7309. Calculate u(d).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1045 - 1045 - 140*a**3.\nAnswer: -140*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -25, -127, -335, -685, -1213, -1955, -2947?\nAnswer: -4225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r**2 - 20*r**2 - 9*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t + 16. Let o = -5 - t. Suppose 4*f + o*k - 5 = 0, 4*k + 1 + 7 = 2*f. Let m(u) = u**3 - 2*u**2 + 4*u - 3. Determine m(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1 + 7*b**2 + 16 + 19*b + 10*b**2 - 16*b**2 + 24. Determine l(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.22817382 - -0.2284. Round v to 6 decimal places.\nAnswer: 0.000226","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4010216 divided by -15076\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 16. Let q = -242 - -248. Let h be m(q). What is h rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6))**(16\/3)\/(m*m**19*m*m*m\/m**5*m) assuming m is positive.\nAnswer: m**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f + 21. Let t = 24982 - 24991. Determine i(t).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 131\/6 + (-3)\/(-18). Let a = -20 + n. Suppose -2*v - 39 = 4*o - 5, -2*o = -2*v + a. Let y(x) = -x**2 - 6*x + 8. What is y(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4.11 (b) 1 (c) -0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2036?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2181*h**3 - 6*h**2 - 6977 wrt h?\nAnswer: -6543*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/(-117)*1\/(-3). Let y = 1 - 6. Sort y, x, -0.1 in descending order.\nAnswer: x, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12152311 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.0338 + -1.0378. Let s = 162 + -162.103. Let q = b - s. What is q rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*x**3 - 30*x**3 + 149 - 80 - 71 + 5*x**2 to t*x**3 + i + b*x**2 + a*x and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g + 1. Let j be o(1). Let t be (-1 + j\/14)\/2. Let f = 4.9 - -0.1. Which is the smallest value? (a) t (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -34 + (2 - 0) + -4 + 10?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 879*a. Let g(f) = 51501*f**2. Calculate w(g(x)).\nAnswer: 45269379*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1230 divided by 3.\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 193180661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 26*x - 2. Let v be c(1). Suppose -v = 4*b - 40. Calculate the highest common factor of 36 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -6. Let n = -1 - 15. Let o(g) = 2*g + 30. Let v be o(n). Which is the second smallest value? (a) v (b) 6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 23\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 16765.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -261858 bigger than -261858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/2)\/2 - (-877)\/1. Let w(p) = 915 - 2*p - 15*p - c. Is w(-7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 668\/57?\nAnswer: 668\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-260))\/(9\/18)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108 - 137. Let w(p) = -p**2 - 37*p - 28. Does 34 divide w(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let t be r(0). Factor -z**2 - 3*z**3 + 3*z**2 + t*z**3 + 2*z**3.\nAnswer: -z**2*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 - 11 + 11*i - 115*i + 55*i + 53*i. Calculate c(4).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17317?\nAnswer: 17317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6026809 to the nearest integer?\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**7\/70 - d**3\/2 + 7*d**2. Differentiate t(a) wrt a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 428*x**3 - 2*x**2 - 110*x + 311. Is p(3) a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -423034, -423036, -423038, -423040?\nAnswer: -423042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/3 and -20\/2260619.\nAnswer: 6781857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1271 by 3.\nAnswer: -1271\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 48 = -5*s, -11 - 13 = -2*l + 2*s. Calculate the smallest common multiple of l and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -51.\nAnswer: -5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 0 + 1\/60*i**5 + 0*i + 0*i**4 + 21*i**2 + 0*i**3. Let g(w) = w. Calculate m(g(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from {k: 1, i: 1, u: 1, z: 1, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from {s: 3, y: 1, j: 3, w: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in seconds?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -38, 7*p + 55 + 107 = -3*f + 212 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3986827 times -2.2?\nAnswer: -8771019.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25828 from -2620.\nAnswer: -28448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 1c?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 88213309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2926.\nAnswer: -1\/1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2857 - 9*f**2 - 2856 + 5713.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3 + 10 + 12*p.\nAnswer: 12*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v**2 + v)*(-6 + 2 + 3) + v**2 - 3*v**2 - v**2 + (0*v - 2*v + v)*(v + 2*v - 2*v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.866015g?\nAnswer: 8866015000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10815 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 12) + (-17 - 5 - 83) - -16.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1334*s**2 - 87. Let j(c) = 31*c**2 + 2. Give 87*j(g) + 2*m(g).\nAnswer: 29*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500813?\nAnswer: 131, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + 2*h**4 - 4*h**4 + (h - h**3 - h)*(0 + 1 + 0)*(9*h - 8 + 10 + 7).\nAnswer: -13*h**4 - 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5290 and 10810?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1242, -1247, -1256, -1269, -1286, -1307?\n\"Answer: -2*g**2 + g - 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3344 - 113144?\nAnswer: -104300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = 0, 3*k - 2*w + 0*w = 94. Suppose -k*c - 78 = -24*c. Suppose -v - 2*v + 3 = 0. Sort c, -4, v in descending order.\nAnswer: v, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*n + 100*n + 83*n + 336 = 0 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74\/21 + 20\/7. Let s = -22088.1 - -22088. Let g = -2 + 3. Which is the nearest to -4? (a) g (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 57. Suppose -166*v = -138*v + 56. Let m(t) = t - 56. Calculate v*y(x) - 3*m(x).\nAnswer: -x + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13287625 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4582298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:39 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = -r + 5, 0 = 2*r - 4*c + 14. Solve -b + r + 1 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-2))\/((-1)\/(-1)). Let p be 1 - (3 + n - 1). Let z = 0.6 - -2.4. What is the closest to p in -0.3, 2\/5, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**3 - 256 + 256.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 3*z + 4*z)*(-z**2 - 2*z**2 + z**2) + (z**2 - 1 + 1)*(-29 + 29 - 53*z)*(15 + 0 + 0) to l + g*z**3 + a*z**2 + s*z and give g.\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 12:59 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - -0.80033. What is w rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 13 = -2*x + o, 0 = 3*x - 2*o - 16. Which is the third smallest value? (a) x (b) 3\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20861 + 2.007669\nAnswer: 20863.007669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 + -86. Suppose -10*v - k = -6*v. Let z(j) = -j + 0*j + 0*j**3 + j**3 + j**2. What is z(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11482250 to the nearest 100000.\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 3:51 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**5\/5 + 28*w**4\/5 + 4*w**3 - 28*w**2\/5 - 24*w\/5 = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 714259593*x**2*y**3 + 7*x*y**2 + 2*x + 1845*y**3 - 2331*y**2 wrt x.\nAnswer: 1428519186*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-32 - -17) - (-1 - 1 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169 a factor of 423976427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5236229 is divided by 816.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2 - 2*a - 6*a**2 - 9 + 5*a**3 + 8 - 8*a. Let q be o(-2). Is -44 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 6500063.\nAnswer: 2600025.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2 = 2*k, 3*k + 4 = -5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a**2 + 2*a - 10. Let t(h) = 5*h**2 - 7*h. Let u(m) = 4*m**2 - 5*m + 1. Let j(y) = -2*t(y) + 3*u(y). What is 10*j(z) + 3*s(z)?\nAnswer: 2*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2. Suppose -9 - 29 = -19*d. Let w(s) be the second derivative of 0*s**d - 1\/6*s**4 + 0*s**3 + 0 + 5*s. Give v(w(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 8:36 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 - 630244*u\/5 + 49650937442\/5.\nAnswer: 2*(u - 157561)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.916995 milligrams to kilograms.\nAnswer: 0.000001916995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*(1 + sqrt(325))**2.\nAnswer: 40*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2. Suppose 4*g = -31 - 1. Let z(m) = -m**3 - 9*m**2 - 7*m + 10. Let x be z(g). Let i(b) = -11 - b**x + 11 + 7*b**2. What is j(i(c))?\nAnswer: 72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 26 = -f, -o + f + 2 = 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/10 - 0) + -2. Let x = -0.01 + -1.09. Let d = 1 + x. What is the biggest value in 0.2, o, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 71?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/1085502 and -41\/2664414.\nAnswer: 29308554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10873, -10810, -10733, -10636, -10513?\n\"Answer: j**3 + j**2 + 53*j - 10928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s. Let k(m) = -136371514*m. Calculate k(o(a)).\nAnswer: -272743028*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 17*l**2 - 2*l + 30. Let z be w(17). Is 12 a factor of -2 - (-714)\/(-15)*(z + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3407*u**3 + u**2 + 8*u + 3. Let c be z(-2). Suppose -13*t = -1613 - c. Round t to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-100) + 1*548*2\/(-50).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 1:22 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -f + 38 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538947 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 46 = -5*y, -5*y - 6 = -5*s - 46. Suppose -p + y = z + p, 2*z + 5*p - 21 = 0. Solve 0*c - c = u - 2, 0 = -z*c + 3*u + 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - 480\/(-416)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3.41 + 29.1\nAnswer: 32.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j + 5551 + 50879. Suppose 2*i - 426 - j = 0. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1374 * -4.7\nAnswer: -6457.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142503118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 92 - 1?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 2, i: 6, x: 2}. Give prob of picking 1 i, 1 y, and 1 x.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 25 = 8*p - 3*p, -2*h = -4*p + 20. Suppose 3*b - 7 = -j, 5*j = -h*j - 5*b + 15. Let f = 2 + j. Calculate the least common multiple of f and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 9. Let u be o(-6). Let l = 0.112 - 0.021. Let q = l + -1.091. Which is the nearest to q? (a) 0.5 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 696859528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/116063 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 921275?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1051*m - 5278. Give s(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 14*n + 136. Let a be p(-9). Solve y + a = 94 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.08472 and 0.14?\nAnswer: 0.22472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 208 + -208. Suppose 0*v + 3*v = 6. Solve 5*l - 5*m = t, -2*m = -4 - v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/192*(-276)\/920?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, g: 11, e: 2}. What is prob of sequence ge?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -2150723?\nAnswer: 23657953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 67*k + 263. Let x be t(4). Solve -3*r + 0*v = 5*v + x, v = 5*r + 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-3))\/(2\/18). Let u = b + -3. What is the third derivative of u*k**2 - 5*k**3 + 2*k**3 - 2*k**2 wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1.29 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35386.\nAnswer: 2, 13, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6893 + -6949.87. Let r = t - -57. Let f = -1.82 + 1.32. What is the second smallest value in -2, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9120 - -5?\nAnswer: -911a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 29480*f**2 - 28*f + 28. What is the ten thousands digit of v(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Let f be (1 + 21\/(-6))*(-6)\/5. Suppose 0 = -4*b - 4*w + 16, 2*w = z*b - f*w + 20. Solve 0 = -2*n + 4 - b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 177, 225, 403, 777, 1413, 2377, 3735?\n\"Answer: 11*x**3 - x**2 - 26*x + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1955 = -6514. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -7 + (-4 - -1) - (-10 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1264 in 3, 0.1, -4\/7, 5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(176)*5)**2 - sqrt(99)\/(6*-1*sqrt(9)).\nAnswer: sqrt(11)\/6 + 13200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6574*p + 307442 = -8100*p + 3326*p - 214566 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.31 + -2.31. Put 3, b, 2\/11 in increasing order.\nAnswer: b, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/6)\/(1\/(-4)*2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 3*p - 3822, 2*p - 5096 = 17*h - 21*h. Is h\/(-1)*(-3 + 10\/4) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -153 - (-2)\/(-4)*-2. Let o be (-2)\/(-7) - t\/56. Solve -o*g = g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807264 is divided by 5724?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d**3*x + d**3 + 18*d**2*x - 2*d**2 - 4*d*x + 55 wrt x?\nAnswer: -2*d**3 + 18*d**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*d**2 - 3)*(2*d + 0 + 0)*((2 - 2 + 2)*(0 + 0 - d) - d + 0*d + 5*d).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -686, 5, -2, 53, 1, -4 in descending order.\nAnswer: 53, 5, 1, -2, -4, -686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y + 0 + 0.\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(1428\/(-204)*1\/7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/9994719 and -80\/9994719?\nAnswer: 9994719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -30. Let l(f) = f - 7. Give l(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10787 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 16*j**2 - 4*j + 1. Let t be o(-3). Suppose -5*y = 4*v - 237, 3*y - 2*v - t = 3*v. Let u = -14 + y. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -46*d + 41*d. Let o(r) = -90*r - 190. Let l(n) = -10*n - 21. Let y(b) = -55*l(b) + 6*o(b). What is the remainder when y(7) is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 3. Let s be z(-8). Suppose -2*a = 2*d + 2*d - 162, 3*d - s*a - 102 = 0. Suppose 4 = -u - y + d, 3*u = 5*y + 81. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 0*r - 5\/2*r**3 - 21\/2*r**2 + 3\/8*r**4 - 88. Find t, given that v(t) = 0.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 40769763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4706360 is divided by 2365.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 2771753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -62\/13*t**3 + 0 - 1162\/13*t**2 + 2\/13*t**4 - 4410\/13*t = 0.\nAnswer: -7, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23783, 23856, 23929, 24002, 24075?\nAnswer: 24148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) - 6\/(-8). Suppose 0 = -2*j + i + 1. Let r be (1 - 0 - 2) + j. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 4)*(0*t**2 + 0*t**2 - t**2)*(12*t - 17*t - 5*t**2 + 7*t).\nAnswer: 25*t**4 - 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 take away 1605.42?\nAnswer: -1605.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((4\/(-3))\/(2\/(-3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 318 - 290 = 7*f - 268 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 2*l**2 - l. Let m be u(1). Suppose m*v - 64 = -2. Let j = 36 - 20. Calculate the remainder when v is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - s - 1. Let c = 773 - 770. Let t(p) = 4*p**2 + p + 1. What is c*t(b) + 3*r(b)?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -5356\/17, 1, 0 in increasing order.\nAnswer: -5356\/17, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 400210844 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 - 139. Let m(l) = 4*l**2 + 14*l + 7. What is the tens digit of m(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 2. Let m(w) = w**3 - 27*w**2 - 88*w - 62. Let k be m(30). Is h\/(-2) + (3 - 3889\/k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 8*k + 14, 5*j - 418 = -8*k - 439 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 219.\nAnswer: -109.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 4*c**2 + 7*c - 8. Suppose 0 = -0*i + 3*i - 9. Suppose -5*x = i*d + 23, 0 = 2*d - x + 11. Is a(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75051972 divided by -13?\nAnswer: 75051972\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.4, 0.6, -1\/7, 4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 3363 = 1235. Let i = 309 + u. Solve 0 = -i*b + m - 6*m + 15, -2*b + m = -12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884 times -4?\nAnswer: -3536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 95.3+-4\nAnswer: 91.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 17. Suppose -463 = -m*b + 3*t, -2*b - 3*t = -4*t - 186. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 + y**3 - y + 351*y**2 - 355*y**2 + 2 to the form z*y**3 + x*y**2 + d*y + s and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1735\/1388*24\/50\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -r - 6. Is 2\/3*r - -19 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 36.8. Let n = -6 - r. Is 1\/4 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.28, 1\/2, -17, -0.3, -0.4, 4, -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**3 + 4*i**3 + 10*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*y = -101*y + 159*y + 380 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28750 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -2, -16, -36?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 112687331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-8)\/16*-26\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -124 + b2?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 302708 + -21814. Let b = g - 1694467\/6. Let x = 1493 + b. Find the common denominator of x and -94\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.09 + -10.29. Sort w, 3, 486.\nAnswer: w, 3, 486","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/13 + (-6)\/39 - (-1470)\/(-210). Let k(n) = 8*n**2 - 7. Let z(t) = -7*t**2 + 6. Suppose 2 = 2*s + 16. Calculate l*k(q) + s*z(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -5, 0.4, -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/12*(-8 + 12). Suppose 5*g - 13 = 2*q, -g = -1 - 2. Let o be q*(1 + 2 + -1). Solve o*k - l = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17157 divided by -6.\nAnswer: -5719\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 0*y**3 - 1\/4*y**4 + 9 + 0*y - 13\/2*y**2. Find the second derivative of k(t) wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 11. Let n(i) = 11*i**2. Give u(n(r)).\nAnswer: -242*r**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g - 3. Let z(c) = c**3 - 5*c**2 + 9*c - 13. Let b be z(4). Suppose 72 = -a - b*a. Let k(x) = x**3 + 9*x**2 - 2. Let t be k(a). What is r(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1310*y = 778*y - 22026 - 1914 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*s + 49*s - 7234*s**2 + 7228*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4581, 9049, 13503, 17937, 22345, 26721, 31059, 35353?\nAnswer: 39597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + -6 - -2*1. Let v = 5 + f. Suppose 0 = -v*z + 3*z + 20, -5*o + 3*z = -365. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/5 - 56*z\/5.\nAnswer: 2*z*(z - 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-30) - 21\/(-15). Suppose m*s = 7*s. Suppose -j + 2*j - 323 = s. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -511 divided by 15.\nAnswer: -511\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 268128 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgqqqqyqqgy. Give prob of picking 2 q.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r - 4*r + 3*r + (1 + 3 - 2)*(2 - 4 + 3)*(-1 + 1 + 8*r).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 25 = 12*o. Solve -3 = n, 3*c - 5*c + 20 = -o*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54735, 106117, 157501, 208887, 260275, 311665?\nAnswer: 363057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5416 + -3?\nAnswer: -5421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**3 - 5. Suppose -36*b - 27*b - 315 = 0. Let r(j) = 2*j**3 + 3. What is b*r(t) - 3*q(t)?\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 30. Let a be (q\/(-3))\/((-10)\/360). Suppose 0 = -2*u + 4*u - 96. What is the greatest common divisor of u and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 894902662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001376066857 to 6 dps.\nAnswer: -0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 9*l**5\/4 - 10*l**3 + 53*l - 8. Let t(b) = b**3 - b. Calculate -s(c) + 60*t(c).\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnnqtqqtnnqltntnq. What is prob of sequence qq?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a factor of 14369449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 7:03 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 76779400 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 9540?\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/38 + -73\/114. Let t(m) = -3*m - 3. Let x be t(-3). Suppose -n - x = n. Which is the closest to v? (a) -0.3 (b) n (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, 14, 0 in descending order.\nAnswer: 14, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.049 + 10.12\nAnswer: 10.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6029\/2 at least as big as -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124 - -128. Calculate the greatest common factor of n and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -2) + ((-13)\/(-16))\/1. Let g be 15\/(-6)*(-2)\/(-16). Let w = r + g. What is the closest to 0.1 in 4\/3, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1900121 take away -338?\nAnswer: 1900459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5980, 11987, 17994, 24001, 30008?\nAnswer: 36015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(33)\/(sqrt(147) - sqrt(147)*3))**2.\nAnswer: -969\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33876914497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 6*f - 8*f = 2106, 2094 = 2*d - 5*f. What are the prime factors of d?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39611 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000261059033 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - (1 - 0\/(-3)). Let v(m) = 2 + 4*m - 2 + m + h + m**2. Determine v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -9 (b) 1\/7 (c) -0.09 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 69*h - 9. Let z be t(5). Suppose -4*c + 556 = -z. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164.1*128\nAnswer: 21004.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 1:00 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416.2 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 57, 1076?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 380434057 to the power of 1\/2, to the nearest integer?\nAnswer: 19505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d - 418 = 0. Let a = d + 536. Let j = -1646\/5 + a. Find the common denominator of j and 35\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534642*(-9 - (-95)\/10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -26 - 2*v - 2\/3*v**3 + 2*v**2 - v**4. Let x(g) = -17*g**3 - 8*g**2 + 17*g - 9. Give 2*x(f) - 9*y(f).\nAnswer: 2*f**3 + 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1614799.\nAnswer: -2\/1614799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/14)\/(3*40\/84).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1798.\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4728, -37502, -126480, -299766, -585464, -1011678, -1606512?\n\"Answer: -4684*s**3 + 2*s**2 + 8*s - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1745497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 43302440?\nAnswer: 8660488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2399, -2425, -2455, -2489, -2527, -2569?\nAnswer: -2615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, s: 1, n: 1, y: 1, h: 1, q: 2}. Give prob of sequence qhqs.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073358 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 + 3 - -1 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 116 = 4*t, y + 21 = 2*t + 79. Calculate the remainder when 86 is divided by 0\/2 - t\/1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4288 (b) 53743 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453529116?\nAnswer: 2, 3, 113, 111487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1753775 is divided by 1753677.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163*s - 6*s**3 + 25*s**3 + 180*s to r + o*s**2 + v*s**3 + l*s and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1307*g - 45. Let y(a) = -871*a - 32. Determine -5*l(j) + 7*y(j).\nAnswer: 438*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.4 (c) -126.85 (d) -0.1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4349*g + 160872. What is n(-37)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6 - j + 2 - 4 + 9. Let w(c) = -1. Determine n(z) - w(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**6\/120 - w**5\/15 - w**4\/4 - 11*w**3\/6 + 15*w**2. Is p(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a factor of 3116167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 b when four letters picked without replacement from {b: 6, j: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -3. Calculate the greatest common factor of v and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + -9)*(-8 + 88\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 - 165.4. Which is the fourth smallest value? (a) -12 (b) y (c) -0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -121. Let s = 450 + d. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (294\/(-5))\/(2142\/(-765))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5105831, -20423351, -45952551, -81693431, -127645991?\n\"Answer: -5105840*v**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031566651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -138, -125, -104, -75?\n\"Answer: 4*t**2 + t - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22.801506 * 0.5\nAnswer: -11.400753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 99117607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*(1\/2 + 55\/50). Calculate the highest common factor of c and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t**2 + 52*t**3 - 158*t**3 + 50*t**3 + 55*t**3.\nAnswer: -t**3 - 29*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 702*x + 240*x**2 + 1428*x**2 - 702*x.\nAnswer: 1668*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1364)\/(-3146))\/(-2) - (1 - 10\/11).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9020 + -9024. What is the closest to 0.1 in 45, h, -10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3*s + 2)*(-3767*s + 15782 - 7892 - 7890) to the form c*s + v + o*s**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-45)\/5*(-4)\/(-3). Let b = -8 - m. Solve 5*f + 21 = -b*c, -2*c + 3*c + 6 = -2*f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 6 + 7 + (1 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 4:25 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 20. Let l(p) = 2*p. Let z be l(f). Suppose 9 = -z*d + 45. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 3*y**2 + 6*y - 2. Let h = -9 - -19. Let x be (4\/(-12))\/((-2)\/18). Suppose -5*t - x*s + 8 = s, -t + 2*s + h = 0. Give a(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 99*w**2 - w + 2. Let q be g(1). What is the second derivative of -3*d + 2*d - 96*d**3 + q*d**3 wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 14313?\nAnswer: 5\/14313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 2 - 9 - 8*j + 47*j - 8 in the form i*j + y and give i.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 5*m + 2. Let z be o(-5). Let p be (-81)\/513*z*2\/(-4). Suppose 0*s = -3*s - 3. Is s less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36476989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 85*v**2 - 29*v + 8. Let a(h) = 170*h**2 - 58*h + 18. Let z(m) = 4*a(m) - 9*k(m). Find the second derivative of z(s) wrt s.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.1, -0.5, -0.2, 2, 28.021 in decreasing order.\nAnswer: 28.021, 3, 2, 0.1, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is -2226708 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzcc. What is prob of sequence zcc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*l**2 + 8*l**2 + 14*l**2 + 24*l**2 - 3*l to the form g*l + n + o*l**2 and give o.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from {a: 3, b: 2, s: 1, c: 2, r: 1, v: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 3:44 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59)\/(-9) + 7\/((-252)\/(-16))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p*((p*p**(1\/2))\/p)\/p)\/p*p)\/p))**(-1\/3)\/(p\/(p\/(p*p\/(p*p**(6\/5))))*(p**(2\/9)*p*p)\/p))**(-2\/35) assuming p is positive.\nAnswer: p**(137\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/63 and -2\/11929617.\nAnswer: 11929617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6360, 25433, 57242, 101805, 159140, 229265, 312198, 407957?\n\"Answer: 3*z**3 + 6350*z**2 + 2*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11948 or 10229?\nAnswer: 11948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 57. Let k be 10\/(-4)*(-832)\/80. Let v be b(k). Suppose 0 = -3*n + 14 - 5. Solve -g + s + v = -n*s, -5*s = 3*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -27*n - 36. Calculate f(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - f + 1. Let c(x) = -5*x**2 - 5*x - 2. Give c(m) - 6*d(m).\nAnswer: m**2 + m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34112 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7771 is divided by 645?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-42)*(-3)\/(-18)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 11 - 3. What is the units digit of (o\/4)\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -160 + 483. Suppose 0 = 15*k + p - 1538. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8085\/441)\/(75\/(-180)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*m - 5*f + f, -f = -4*m - 38. Let d = m + 7. List the prime factors of (-35)\/(-3 - (d - 0)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 220 - 217. Let u(b) = 10 - b**2 - 2 - 5 + 2*b - x*b. Determine u(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 858 in -0.5, 2\/5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by (168\/16)\/(6\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22927, 3, -25.\nAnswer: -22927, -25, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 239362 and 1862?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -2145, -5697, -10649, -17001, -24753, -33905?\nAnswer: -44457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 5\/(-25) + 178\/40. Suppose -3\/4*f + 0 + g*f**2 = 0. Calculate f.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3b (base 12) to base 16\nAnswer: 2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11813 (b) -18 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48574 + 2776 = 13*y. Suppose 4*b - 5452 = -4*v, 4*v + y = 3*b - 146. Suppose 416 = 4*t + 2*g - b, 0 = 3*t - 5*g - 1335. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39300052 to the nearest integer?\nAnswer: 6269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**5\/15 + 2*a**4\/3 + 2*a**3 - 13*a**2. Suppose k(o) = 0. Calculate o.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -8.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23\/(-92) - 1\/(8\/(-66)). Let x(s) = -2*s + 21. Let c be x(d). Suppose 3*o + 5*m - 6 - 7 = 0, c = -o + 3*m. Let h(r) = r**3 - r. Give h(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170789371?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/15)\/(2\/10). Let t(q) = q - 4*q**2 + 2 + 5*q**h - 2*q**2. Suppose 8545*a = 8546*a - 4. Determine t(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 31*q + 64 = 0. Let h = -0.29 + -0.01. Which is the nearest to -2? (a) -0.4 (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29949.\nAnswer: 3, 67, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(6)*-2*-2)\/(sqrt(432)*2 - sqrt(3)) + 1.\nAnswer: 4*sqrt(2)\/23 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (7 - 3) + -1 + 3. Suppose -f - 31 = -5*b - 2, 16 = 2*b + 4*f. Let k = b - 3. Solve k*d = 2 - x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 88. Let u be a(0). Let q = u - -91. Suppose 13 = -q*k + 4*k. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -19*v - 73. Let s be x(-4). Let l = -3 - -2.99. Which is the nearest to -1\/4? (a) s (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -27*d - 892. Calculate i(-33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 0 - 7*z**4 - 17\/10*z**5 - 1\/15*z**6 + 260\/3*z**3 + 81*z - 200*z**2. Factor g(y).\nAnswer: -2*(y - 2)*(y - 1)*(y + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*z = 25, -z - 3 = 3*o + 2*z. Suppose -o*u + 1 = -l, 3*u - 7*u + 8 = 0. Suppose l*i = -0*i + 90. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4*1)\/(16\/(640\/(-375)))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = -29*h - 92 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81215*m - 788*m**2 + 81215*m + 3414*m**2 + (4*m - m - 2*m)*(2*m - 2*m - 2*m).\nAnswer: 2624*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (-2)\/(-3)*(-1998)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.288 or -0.066?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1700) + -3*(sqrt(1700) + -5*sqrt(1700)) + sqrt(1700) + -5 + 1 + -2))**2.\nAnswer: -60480*sqrt(17) + 11996496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 (base 9) in base 12?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37014*v - 25985.\nAnswer: 37014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*u)*(4*u**2 + u**2 + 3*u**2)*(-2*u + 3*u + 2*u).\nAnswer: -72*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 15*b. Let z(p) = 89*p + 4*p**2 - 89*p. Give m(z(w)).\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -1 + (10 - 52) + 37 - -10) + 53.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5186 - -5264.22. Let u = l + 1.78. Let i = -78.81 + u. Round i to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1 - 2 - 3*m + 4 - 2. Give d(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q**3 + 215*q**2 - 73*q + 119. Calculate h(-27).\nAnswer: 1361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2. Let u(r) = -159164676*r. What is y(u(b))?\nAnswer: 76000182258554928*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**3 - 7*i**3 - 2*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 - 11*t**2 + 9*t - 13. Let h be 8\/(-10)*(-1 + (-21)\/14). Suppose -h*d - 42 = -16. Let q(i) = i**3 - 5*i**2 + 4*i - 6. Give d*q(v) + 6*g(v).\nAnswer: -v**3 - v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0345 and -64.6583.\nAnswer: -2.23071135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21112 and 425425?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let v(h) = -17*h**2 + 11763*h + 4. Determine y(v(p)).\nAnswer: -17*p**2 + 11763*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 263886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 56d0 (base 14) to base 2\nAnswer: 11101011100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511692807?\nAnswer: 3, 47, 3629027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 + 6*i - 6. Let w(x) = 35*x**2 + 55*x - 55. Suppose 8*m - 168 = 11*m + 3*j, 4*m = -3*j - 223. What is m*c(f) + 6*w(f)?\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1609 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -1\/12*i**4 + 0 + 1\/6*i**3 + 0*i - 1\/15*i**5 + i**2. Let d be h(1). Sort d, -1, -2 in ascending order.\nAnswer: d, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 328*x**2 - 7*x - 36 wrt x.\nAnswer: 656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -329, -1, 11, 17?\nAnswer: -329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4080490*-2.1.\nAnswer: 8569029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.1935 (b) 1 (c) -582\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109.6 + -109.9. What is the closest to 1\/2 in 2\/3, -13\/2, h, -1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -72*d + 248787. What are the prime factors of d?\nAnswer: 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5 = 5*s, -6 = -4*s + i - 2. Which is the nearest to s? (a) 1\/7 (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 43*p - 7929. Determine s(110).\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 4:45 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2709130 (base 10) to base 14.\nAnswer: 507414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**3 - 2*w**2 - 3*w - 3. Let h(r) = -r**2 + 9*r - 1. Let j be h(8). Let b(m) = -9*m**3 + 3*m**2 + 5*m + 5. Let z(a) = j*o(a) + 4*b(a). Give z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -11 + 1. Let a(z) = z**2 + z + 1. Let r be a(n). Find the common denominator of (r\/1)\/(-1 - -3) and 71\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.556 + -10.1. Round k to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/11)\/g)\/(g*g**(-2\/11))*g*g*g**6\/g*g**(-2\/7))**(-40))**(-1\/24) assuming g is positive.\nAnswer: g**(640\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185410 and 490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3 + 440*l**2 - 3616*l + 7296 = 0. What is l?\nAnswer: -228, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -31*z - 91. Let y(v) = 4*v**2 + z*v**2 + 14 - v**2 - 14*v + v**3 + 5*v**2. Give y(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 42 + 37 - 4 + 4*u to m*u + g and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 293c + -5?\nAnswer: 2937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + 6 - (2 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k**(2\/47)))\/(k\/((k**(-34)*k)\/k)*k))\/(k**(-45)\/k**(3\/4)) assuming k is positive.\nAnswer: k**(1637\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 plus -26376117?\nAnswer: -26376116.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 + 54*a + 169. Calculate y(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 112581379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from {t: 3, i: 5, e: 8}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.5 - 1.5. Let t = 0.707964 - -30.294736. Let n = t + x. What is n rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3. Suppose -w + 0*z - 4 = 2*z, 0 = 2*w + 5*z + 9. Calculate the remainder when -1*(w - 2\/(-2)) is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3\/4*z**2 + 0 - 1\/2*z = 0?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4268*g - 21340. Determine u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133 or -1299?\nAnswer: -1299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1866 is divided by (-3269)\/(-28) - (14 + 1026\/(-72)).\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -2*a + 3*a**2 + 1\/15*a**6 - 2\/3*a**4 - 2\/3*a**3 + 1\/5*a**5 + 0. Factor w(s).\nAnswer: 2*(s - 1)**2*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21\/10, -36\/41, 0.2436 in decreasing order.\nAnswer: 21\/10, 0.2436, -36\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/(-25)*((-150)\/(-35))\/(24\/42).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14879, -29664, -44449?\n\"Answer: -14785*g - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 - 47*u**3 - 27*u**3.\nAnswer: -76*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -901.4 - -923. What is z rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*m - 361*m - 840 = 0. What is the remainder when m is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j*m*w - j*m - 53384*j*w + 3371196*j - m - 5*w + 3 wrt w.\nAnswer: -j*m - 53384*j - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, l: 6, i: 2, t: 6, k: 2}. Give prob of sequence ktli.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + p + 0*p + (-2*p + 3*p + p)*(1 + 0 + 1) + 2*p + 0*p + 2*p)*((-3 + 3 - 1)*(1 + 0 + 1) + 2 + 0 - 7) in the form k*p + j and give k.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - n - 153. Let x(b) = -2*b - 4. Let d be x(-3). Let u = d - 2. Let c be v(u). Round c to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 12 = -3*y. Solve 37*u**4 + 9*u**4 - y*u**5 - 6*u**2 - 2*u + 18*u**3 + 28*u**5 = 0 for u.\nAnswer: -1, -1\/4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -40, -60, -82?\n\"Answer: -w**2 - 15*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -0.03, 8\/5.\nAnswer: -3, -0.03, 8\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, t: 5, z: 7}. Give prob of sequence tz.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*((-1 + sqrt(252))*6)**2 + 1).\nAnswer: -6480*sqrt(7) + 136617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3996 by 701.\nAnswer: 3996\/701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 3*u + 4. Let g be j(3). Suppose -2*m = -2*w + 18, 5*w = -m + g*m + 49. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 3*u - 17, -5*t - 2*u - 1 + 17 = 0. Solve -b + 1 = -t*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/((-7)\/35).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 14. Determine u(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2905 - -2985. Calculate the lowest common multiple of 120 and c.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3511028651 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(35))\/(((sqrt(60)*-1)\/sqrt(12) - sqrt(5)) + sqrt(5)).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/2))\/(g*g**(-3))*(g\/g**(2\/7))**(-2)*((g*g**2*g*g)\/(g**(-7)\/g))**28 assuming g is positive.\nAnswer: g**(5125\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Suppose 0 = -4*y + 3*z - 2*z + 11, -26 = -4*y - 2*z. Suppose 0 = 2*l + 2*h - 36, y*l + 2*h - 62 = -j. Solve 0 = 5*b - 12 - l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -10, 0.3, 124\/11, 0.1, 4, 2\/271?\nAnswer: 2\/271","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*j - 45 - 41 + 121 - 38 + 252*j**3 + 2*j**2 wrt j.\nAnswer: 1512*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + 1 - (6 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -87\/358?\nAnswer: -87\/358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 - 366 = 123*l + 413 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 181 (c) -734 (d) 17\/3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -120.112182?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4624 less than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2 - 466560202*d - 173907733 wrt d?\nAnswer: 2*d - 466560202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*t - 86 - 27, -5*t = -n + 15. Let b = 55 - n. Calculate the least common multiple of (-2)\/(-8) + 315\/b and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 2*g**2 + g - 4. Let r be v(-3). Suppose -r = -5*o + 8. Suppose -2*y = 3*m + 7, -y + 2*m = 5*m + 11. Solve o*l = y*l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7934*b**3 - 5*b**2 - 42*b - 11. Let c be v(-11). Suppose -110*y = -113*y + c. Round y to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -2537, -759 in decreasing order.\nAnswer: 4, -3, -759, -2537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -20 (b) -0.43 (c) -2\/3 (d) -2 (e) 152\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (125\/(-75))\/((-3)\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 13*y - 142 = 2*o, 4*o = 4*y + 172. Let b(q) = q**2 + 4*q + 7. Find the common denominator of y and b(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xooo when four letters picked without replacement from xoxoooonxoooooo?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*d = 313*d - 165*d. Which is smaller: -7\/444 or d?\nAnswer: -7\/444","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440 = 40*r - 95*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4443119*r - 2130052 with respect to r.\nAnswer: 4443119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/64)\/(14*(-13)\/(-1456)*6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 32*m - 259. Calculate c(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3520807*u**2 + 874*u + 2156 wrt u.\nAnswer: 7041614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4870307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, v: 4, d: 9}. Give prob of picking 1 v and 2 q.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u - 31 = 0. Let w = 15 + u. Let s be ((-6)\/8)\/(30\/w). Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(224\/(-21) - -10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4526837 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -149.5, -1, 2, -0.3, 3\/7, -12 in ascending order.\nAnswer: -149.5, -12, -1, -0.3, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.5 + 5.3. Round q to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2 + 4 + 2 - 5. Let y(j) = 2*j**2 + 1. Let h(c) = -c - c + 8*c - 9 - 5*c. Let r be h(6). What is r*d(l) - y(l)?\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 divided by 759.\nAnswer: 97\/759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**2 - 2*u**2 + 2825*u**3 + 206 - 209 - u - 2*u wrt u.\nAnswer: 16950*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b + -14?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awaaweaawaeawa. What is prob of sequence we?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/8 + 5\/20. Let o be b\/(-4) - (-105)\/(-10). What is the units digit of ((-36)\/15)\/(3\/o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00051065 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1373?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7497 less than 1.468?\nAnswer: 7498.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5067 and 37158?\nAnswer: 111474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2818513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35a - -3?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + 6. Let o = -16 + 26. Suppose 0 = 2*u - t - o. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 6*d + 32. Suppose -942*o + 1014*o = 792. What is m(o)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196142496 by -185741.\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32\/135, -5, 2\/9, 4, -8 in decreasing order.\nAnswer: 4, 32\/135, 2\/9, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*y - 1 = -28*y + 64 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 100 and -2\/26107 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 0 + 0*u**2 + 2*u + 2\/3*u**3. Let d(v) = 4*v + 3. Let k(y) = -3*y - 2. Let c(j) = -4*d(j) - 6*k(j). Give a(c(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 5*n**2 + 3*n. Let h be o(4). List the prime factors of (23\/h*-2)\/(1\/56).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*p - 10*p + 96. Let u(b) be the third derivative of 0*b**p - b**2 + 1\/20*b**5 + 0 + 0*b + 1\/4*b**4. What is k in u(k) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 * 3.2.\nAnswer: -188.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v - 1265 + 10*v + 1265 + 11*v - 36*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 9:48 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 6 - (4 - -1)) + 2 + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20817, 21609, 22401, 23193?\n\"Answer: 792*y + 20025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 9:51 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*m**3 + 19*m + 12*m + 19*m - 50*m + 113*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -4341334003?\nAnswer: 4341334001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1422355nm to centimeters.\nAnswer: 0.00000001422355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253429930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 - 0.27. Let x = a + 0.8. Let k = 0.5004 - x. What is k rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 2*t**2 + t - 12. Let j be x(0). Is 6894\/24 - (-3)\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -20623?\nAnswer: 20625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/29)\/o*o)**(-15) assuming o is positive.\nAnswer: o**(-30\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -87 - 279. Suppose -3*f + p = 5*g, 4*g - 2 = 14. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*z + 292 - 28. Solve 5*o + 24*r = z*r + 26, 3*r + 3 = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 30. Let v = 27 + s. Suppose -v*r = 1 - 7. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/5)*h\/((h**5\/h*h*h)\/h))\/(h**1*h)**6)\/(((h**4\/h)\/((h\/(h*h**(-2\/9)))\/h))\/(h**1)**(-33)) assuming h is positive.\nAnswer: h**(-2339\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -4, 4, 5 in decreasing order.\nAnswer: 5, 4, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v + 9*v + 477. Suppose 4*f = 7*f - v. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(168) + 3*sqrt(168)*2 + sqrt(168))*4)\/(sqrt(486) - sqrt(486)*1 - (sqrt(6) - sqrt(24)\/sqrt(4)*-1)) + -1.\nAnswer: -32*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81019.7569 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 g, and 2 a when four letters picked without replacement from wwgaggwa.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(3\/(-12) - 174\/(-632))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**2 - 82*w + 6. What is j(-16)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 6:54 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/22*(-1 - 3). Suppose 0*v - 2*v + 40 = a*x, 76 = 3*v - x. Solve 0 = -3*i + 3*n + v, -3*n - 7 = -i + 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaa. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -13, -1, -1135?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 0.4, 176\/17, 3\/2, 3\/7, 9?\nAnswer: 176\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 2*y**2 - 11*y - 6. Let u = -6956 + 6952. Determine r(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/b*b)**(-23\/3)*(b\/((b\/(b\/(((b\/(b\/(b\/(b*b**(-4\/7)\/b))))\/b)\/b)))\/b))**(-46) assuming b is positive.\nAnswer: b**(-2507\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4*w - 6)*(w - w - 2*w) - w**2 - 1 + 1 - 4 + 4 + 2*w**2 to h*w + l + n*w**2 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3933 and -34?\nAnswer: -133722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = 4*z, 4*z = -o - 17 + 5. Suppose -2*l + 3 = k, 0 = -2*l + 4*l - o. Which is the closest to -1? (a) 1\/3 (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 701 - 741. Let f(w) = -11*w + 1. Let r(d) = 10*d - 1. Give x*r(a) - 4*f(a).\nAnswer: -6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*g**4 + 12*g + 11*g + 26*g - 3*g**2 - 48*g as u*g + b*g**2 + k*g**4 + t*g**3 + n and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8010 is divided by 68?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**8\/6720 + u**7\/1680 - u**6\/120 - u**5\/12 - 5*u**2. Let k(r) be the third derivative of z(r). Suppose k(v) = 0. What is v?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 8:31 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 30.1. Let z = 13.2 + l. Let y = -11.09999818 + z. What is y rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3458\/(-403) - ((2 - 10) + 1). Which is bigger: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006393 to 5 decimal places.\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.18 (b) -23.49 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -11 - (-20 + 26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x - 19*x + 11*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002438756 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 3*f - 12, -2*f - 16 = 3*x + 2*f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 3:34 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 18*v + 8. Let i(x) = -x + 1. Let y(t) = c(t) - 5*i(t). Let q be y(-12). Suppose 11*k = 6*k + q. Solve 0 = -k*o + o + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(6) + -2*sqrt(384) + sqrt(384) + sqrt(6)).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25b8 (base 13) to base 5.\nAnswer: -133030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-35))\/((-24)\/90*4)*68\/(-1).\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 10:33 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2 - 10*v + 4. Let d(k) = 9*k - 3. Let u(z) = -4*d(z) - 3*x(z). Let j(r) = 37*r**2 - 17*r. Calculate 6*j(g) - 17*u(g).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3564 and 13990559?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 25*d + 7 + 10 - 8 + 105*d as p + a*d and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 196 = 4*u + 4*a, 0 = u - 2*a - 40. Is u a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50650776 is divided by 2026030?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 47. Calculate the remainder when (316\/(-6))\/(((-10)\/6)\/l) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132 + -100140?\nAnswer: -100003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 2)*(2*f - f + f)*(-1 - 2 - 23) to x*f + d and give x.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003787 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 4076?\nAnswer: -4076.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24494816846.11942704229 + 24494816846. Let l = -60.11942597229 - w. Let f = 60 + l. What is f rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2484 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (sqrt(272) + sqrt(272) + -3 + sqrt(272))**2 - sqrt(272)) + -2 - (sqrt(153) + sqrt(153) + 1*sqrt(153)*-3)\/sqrt(9).\nAnswer: -2459 + 73*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1. Suppose 2*m - 20*r = -15*r - 22, 0 = -m + 5*r - 21. Let o(w) = -4*w**2 + 1. Calculate m*a(d) + o(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3\/8 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-8)\/(-22) - (-27119097)\/(-74578031)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -120?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - g**2 + 3)*(2 - 3 + 0) + g**2 + 10*g**2 + 4*g**2)*(2 - 4 + 1)*(3 - 1 + 3)*(5 - 8 + 0).\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 34*h - 28. Calculate j(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90025668 divided by -6.\nAnswer: 15004278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -11 (b) -10 (c) -4.1 (d) -0.3 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 16. Let d(k) = k**2 + 38*k + 53. Let y be d(-37). Let r be (y + -15)\/(1 - 0) - -3. Solve -r*l = s - 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, -2, 106209?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22160004 to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-370 + 8)\/(1\/(-5)). Let k = -623 + s. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1561 = -23*l - 24*l + 460. Calculate the remainder when 4643 is divided by l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s - 44*s + 84 = 0 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-1 - (2 + -1)). Suppose -7*c + h = -32. Solve -v - c = -4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21461698 a multiple of 1565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*z - 6 + 6)*((0 + z + 0)*(-z + 0 + 0) - 208*z**2 + 211*z**2 - 114 + 108) as n*z**2 + u + m*z + r*z**3 and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k**2 - 7. Let r(t) = t - 3. Let g be r(0). Let i be 2 + 0 + (g - -5). Let l(j) = 6*j**2 + i*j**2 + 0*j**2 + 4 + 6. Determine 5*l(f) + 7*w(f).\nAnswer: f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 44, 83, -8, -5 in descending order.\nAnswer: 83, 44, 4, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 576, 1142, 1690, 2214, 2708, 3166, 3582, 3950?\nAnswer: 4264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2264 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 19413. Let u(h) = h**2 + 77*h. Give u(s(i)).\nAnswer: 4*i**2 - 77498*i + 375369768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1165637*p**2 + 901706*p?\nAnswer: -2331274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110 + 1111101100010?\nAnswer: 1111110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 + 20 = 47*v. Let t(r) = -2*r**2 - 16*r + 19. Calculate the remainder when t(-8) is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58297*c - 174 = 58268*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -15. Suppose 2 = 2*r - i*r. Calculate the remainder when 18 is divided by ((-2)\/(-4))\/(r\/(-40)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 51\/5, 0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 161517 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wooowwwooo. Give prob of sequence wwo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 756052\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let j(o) = -14*o**2 - 5*o + 3. Determine j(a(l)).\nAnswer: -14*l**2 + 5*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2623014826 to two decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3610*4.\nAnswer: 14440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*i + 7807, 4*i = -0*d - d + 2597. Let m be (-12)\/(-36) + (-885)\/d. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40837.85 litres to millilitres.\nAnswer: 40837850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 340430 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 1 + 0 - 1 + 3*v. Let z be m(5). What is the highest common factor of 24 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(133) - (sqrt(133) - (sqrt(133) - 2*sqrt(133)))) + sqrt(133))*-1)\/(sqrt(28)\/(sqrt(100)*-3))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*t - 133*t - 65*t.\nAnswer: -143*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i - 1 - 2 + 2 + 6*i to s*i + w and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14221412 (base 5) to base 14\nAnswer: -3c0cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 - 4*w**2 - 7*w + 5. Give h(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 950 >= -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**5)**(-24) assuming v is positive.\nAnswer: v**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4537653398 take away -130978?\nAnswer: 4537784376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2*k + 10, -19*g + 34 = -15*g + 5*k for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2245122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/18)\/((-3)\/(53\/(3339\/12096))).\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 23.9 (b) 76 (c) -577\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 14. What is the remainder when (0 - 1)\/((-1)\/13) is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8884 + 1.1884. Let h = 6 - 11. Which is the biggest value? (a) -2\/31 (b) -4 (c) o (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 129\/12)*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-27)\/(-6))\/9 - 0)\/((-631)\/39122)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - sqrt(88)*1)*4 + sqrt(88))\/(sqrt(288)*1 - sqrt(8)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28\/8 - 4)*2. Let s = -32 - -56. Let c = s - p. What is the remainder when c is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 - 1014?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15345 + -3?\nAnswer: -15352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/150)\/((626416\/1020)\/(-98)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138019 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-28))\/(10\/(-12)*-1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37980323431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u - 40 + 265 = 0. Let a = -0.1 + 0.2. What is the nearest to a in 0.2, 8, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5180904 divided by 9186\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 941024*l**4 + 2*l**2 - 65763 wrt l?\nAnswer: 22584576*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 703500 = 17*r + 18*r. What is r rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73*u + 149*u - 107*u)*(4*u - 4*u + u) + 2*u**2 + 1 - 1 to s*u**2 + b + x*u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.03 - -0.03. Let i be 1 + ((-2)\/(-1) - 3). Suppose y - 3*x - 13 = 0, 5*y - 3*x + i*x = 29. Which is the biggest value? (a) -0.5 (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128829.\nAnswer: 3, 42943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 3*m + 1735. Let f be a(40). Calculate the greatest common factor of 1230 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m - 6*m - 16 - 6*m + 7*m + 66*m.\nAnswer: 45*m - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -723.\nAnswer: 1\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -15. Is 8 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 11:16 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2\/11, -4, 1\/280, 20 in descending order.\nAnswer: 20, 1\/280, -2\/11, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-396)\/(-81) - 1\/(-27)*3. What is the nearest to -4 in -2\/11, t, 2, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.8572598 to one decimal place.\nAnswer: -32.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 215, 0, -7 in decreasing order.\nAnswer: 215, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 2 - 8 - (2 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + -34. Let g = -37.99999983 - z. Round g to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 12 = 2. Find the common denominator of -16\/21 and (7\/x)\/(66\/(-248)).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 11 = 5*b, -2*b + 4 = 30802*c - 30803*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1783322749 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 8085290*q**2 + 274904195*q + 2336697940.\nAnswer: -5*(q - 1617092)*(q + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 910 and 34944.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 15 - (42 + -57) - (2 + -36 - 1).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 2:31 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (11 + -3 - 3) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 12, -10, -4, 4, 153.\nAnswer: -10, -6, -4, 2, 4, 12, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2660, -2926, -3440, -4256, -5428, -7010, -9056?\nAnswer: -11620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 12, -17, 10, -5 in decreasing order.\nAnswer: 47, 12, 10, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*r - 74*r - 43344 = -254*r - 227*r for r.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.6 and -0.7.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-6 + 5 + 21) - 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22748 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/3 + 135320*t\/3 - 1144468900\/3.\nAnswer: -4*(t - 16915)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 6) in base 9?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-38) + (-32)\/(-12)*((-112948)\/(-2584) + 5)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23 - (-1 - (1 - -1)). Let p be (0 - -165)\/((-3)\/d). What is p rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8544.72 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/7624562 and -23\/11187.\nAnswer: 68621058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + 2*j + 2. Let k be 85\/(-20) - -4 - (-2)\/8. Let i be p(k). Solve -4*b + i*b = -2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 5217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:04 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9939 and 4162214664?\nAnswer: 9939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 8814?\nAnswer: 44070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5416193*r**3 + 4498733*r**2 wrt r.\nAnswer: 32497158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u - 14*u + 343*u**3.\nAnswer: 343*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -4. Is (675 - (5 - h))\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 9, -8*q - 1566 = -12*q - 2*s. What is the highest common divisor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, e: 9}. What is prob of sequence ekek?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2433.9998759 - -2434. What is l rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/2)\/(-2)*(-4)\/(-24).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 4644*w**2 + 91196*w + 95844.\nAnswer: 4*(w - 1141)*(w - 21)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 485 - 12125?\nAnswer: -11750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 0, -9307 in descending order.\nAnswer: 3, 0, -4, -9307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6441255 divided by 1?\nAnswer: -6441255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8 = -4. Let m = t - -8. Suppose 0*x**3 - 1\/3*x + 1\/3*x**m + 2\/3*x**2 + 0 - 2\/3*x**4 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6071)\/(-39)*(49 + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176489625?\nAnswer: 3, 5, 13, 41, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 14740?\nAnswer: 14740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 29 + (8 - ((4 - 1) + -3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -454 + 22?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmamyumyyuy. Give prob of picking 1 a and 1 y.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -13\/3*b**3 - 7 + 0*b**2 - 7*b. Differentiate x(y) wrt y.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -125\/3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -4*g - 4, 41*j - 3 = -5*g + 40*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -201*r + 52864. Give c(263).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**9*w)**(10\/3)*w**(-2\/19)*w**(-22)*w assuming w is positive.\nAnswer: w**(887\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2133322 (base 4) in base 7?\nAnswer: -41560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 3*v**2 + 0*v + 3 + v**3 - 6*v. Calculate the remainder when 12 is divided by t(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 43162, -4, 4, 2.\nAnswer: -4, 1\/3, 2, 4, 43162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 8, 2*q + 0*q + g = -6. What is the tens digit of 114\/9*(5 + q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9456955 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**3\/3 + 2*t**2 - 5*t + 8. Let f be (-2)\/(-5) + 32\/(-5). Calculate the remainder when 19 is divided by w(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -14935, -1, 5, 0 in descending order.\nAnswer: 5, 3, 0, -1, -14935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1634847.19 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/(-8))\/(6783\/(-8092))?\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/27452 and -37\/704?\nAnswer: 4831552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 5:21 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 11*n - 8*n + 10*n - n + 3*n - 3*n + (0 - 6 + 4)*(-5*n + 0*n + 3*n) - n + 3*n + 0*n - 3 + 3 - 3*n as o*n + l and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -27ed?\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32.7 or 852?\nAnswer: 852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, w: 7}. What is prob of picking 2 w and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*r - 4*i - 130, r + 4*i - 65 = 0. Suppose -r*k = -62*k + 3. Let g(m) = 18*m**2 - m. Calculate g(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 14532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*n = 33, 8*x - 4*x = 3*n + 39. Solve -x - 1 = 7*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4550 = -196*m - 3235 + 2885 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435*f - 879*f = -1008*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fddddffdddd. What is prob of sequence fff?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*b + 29*b + 2*b - 882. Let h = -536 + 752. What is the least common multiple of b and h?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 + 10.1. Let o = 7.4 - w. Let r = 0.2 + o. What is the closest to 2\/3 in -5, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 422 - 420. Solve 3 + j = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3*m + 4*m + (5*m - m - 3*m)*(2 + 0 - 1) + 1 - 1 + m)*(5 - 2 + 3)*(0*m - 2*m + m).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-4) - (-15 + 4). Let v(j) = -j. Let h be v(0). Find the first derivative of -8 + h - 3*n**3 + d wrt n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163 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: What is the least common multiple of 248 and 36704?\nAnswer: 36704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 441541 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 313751574?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4617 is divided by 321?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -794, -1633, -2640, -3719, -4774?\nAnswer: -5709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 21 - -35 - -19.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 17.3. What is q rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -176*v**3*w - 4*v**3 + 141100598*v**2 - 411402*v*w wrt w.\nAnswer: -176*v**3 - 411402*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*i - 64 - 82, -5*t - 5*i + 235 = 0. Suppose 0 = 42*z + 108 + 60. Let p be (-157 + -11)*2\/z. Calculate the highest common divisor of t and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 20 - 56. Let s = 16 + n. Calculate the smallest common multiple of s and 11.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -374.261 + 580531.261. Let n = j + -580132.00008. Let m = 25 - n. Round m to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1174.77521 take away -181.1215?\nAnswer: -993.65371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46340 + -46337. Let d = -6 - -6.6. What is the nearest to d in m, -3, -25?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46665 (base 7) to base 5.\nAnswer: -341003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**2 - 19*c**6 - 4*c**2 - 11*c - 20*c - 31*c wrt c.\nAnswer: -2280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + -103?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 0)*(-209709 - 4256*n**2 + 209709).\nAnswer: 25536*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1463422 to 4 dps.\nAnswer: -0.1463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 9 + 80 = 9 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 13*l**2 + 27*l - 43. What is t(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*j + 216*j = 4. Let u be (1440\/150)\/(j\/1650). What is u rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26.2696 micrometers?\nAnswer: 0.0262696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 2*q**2 + q - 2. Determine l(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from ppmppppmppppppmpmppp?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + -4 - (0 - (1 - 1)) - (10504 - 10501).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10\/11)*u*u**(2\/27)*(u**(-11)\/u)**(2\/3))**(-26) assuming u is positive.\nAnswer: u**(60502\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-352) - 31\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2434, 4889, 7362, 9847, 12338, 14829?\nAnswer: 17314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 245388*u*y - 333755*y wrt u?\nAnswer: 245388*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, b: 1, j: 2, h: 2}. What is prob of picking 1 b and 1 z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.185 + 0.715. Let p = 38.48418 + -37.954. Let j = d - p. 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: Calculate the highest common divisor of 96 and 3156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91146 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 5*p**4\/12 + p**3\/3 + p**2\/2 + 6*p. Determine t(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, n: 1, v: 2, q: 1, l: 4, w: 1}. Give prob of sequence aa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -170360, -340717, -511074?\n\"Answer: -170357*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1231266, 4925159, 11081646, 19700727, 30782402, 44326671?\n\"Answer: 1231297*h**2 + 2*h - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 13*z = 0. Let k(a) = a**3 - a**2 - 11. Calculate k(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1630 - -5125?\nAnswer: 6755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, m: 6}. Give prob of sequence ff.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 340\/1615 + (-510)\/(-285)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89814755 - -228758176915\/2547. Let l = f - -12\/283. Find the common denominator of l and 101\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q. Let t(s) = 2*s + 505. Give l(t(z)).\nAnswer: 8*z + 2020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 50468769 divided by -18031\nAnswer: -2799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 + -51. Let a(w) be the third derivative of 3*w**4\/8 + w**3\/6 - 13*w**2. Let r be a(2). What is the highest common factor of r and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 63.72955 decades?\nAnswer: 637.2955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**3 + 2*h**2 - h - 1. Let q be m(2). Suppose p + 0*p - 25 = -l, 2*p + 5*l = q. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -0.0938037.\nAnswer: -3.0938037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09 + -0.01. Let l = 29 - 25. Which is the closest to t? (a) 1\/4 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5 - 2*m - m**2 + 6 as c*m + g*m**2 + s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160 + 329. Suppose -51 = -4*c + r. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 2020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32 - 2*u**2 - 10501*u**5 + 0*u**2 - u**4 + 10485*u**5 wrt u?\nAnswer: -960*u**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/(-12) + (-8)\/(-32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*p + 3426, 2*g - 3*p - 6852 = p. Let d = g - 2055. Suppose 0 = 2*h + 5*m - d, 0 = 3*h - m + 5*m - 2039. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3538 + 20690 = -106*j + 374*j for j.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 0. Suppose -x + d = f + 2*x, 20 = -5*x. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z. Let w(f) = -8*f. Let x(p) = 7*s(p) + 6*w(p). Let o be x(3). Suppose j - u + 1 = -o, 0 = -j - u + 4. Put -5, 5, j in decreasing order.\nAnswer: 5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774783298?\nAnswer: 2, 313, 607, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = z - 4*x - 0*x, x - 25 = -2*z. Suppose 2*m = 2*f + 4, 5*m + 2*f - 6*f - z = 0. Solve 10 + 0 = m*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13404 is divided by 3315?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -43, 61.\nAnswer: -43, -4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -2219a93?\nAnswer: 2219a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2)*k)**(-9\/8)*(k**1\/k)**(-20))**(-2\/139) assuming k is positive.\nAnswer: k**(9\/1112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2211 + 2211 - 314*r**2)*(2*r**3 - 2*r + 2*r) + (2 - 2 + 2*r**2)*(-r**3 + r - r).\nAnswer: -630*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) 1\/2 (c) 2 (d) 2\/39 (e) -2\/13 (f) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 10*i**2 + 11*i + 5. Let l be j(11). Let m = l + -28. Let c be (286\/65)\/(2\/(-10)). Is c < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -813 - 5?\nAnswer: -818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 - 395 = -4*q. Suppose -35 = 4*a - 111. What is the remainder when q is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*m - 13*m + 110 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*d - 11*d - 86 - 70 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45493 - 15488 + 63559 = 1176*j + 858*j for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (13 + -29 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -129442*t**3 + 4*t**2 - 11168317.\nAnswer: -388326*t**2 + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5200 and 435336200?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 5:26 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 389, 568, 881, 1328, 1909, 2624, 3473?\n\"Answer: 67*a**2 - 22*a + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 + 273 = -l. Suppose 0 = 2*u + 3*u + 5. Let y be u - -4 - (l - 39). What is the highest common divisor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 284449103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 345\/52 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 64 and 182738?\nAnswer: 11695232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 5965*o**8\/28 - 31*o**4\/12 - o**3\/2 + 17*o**2\/2 - 2217*o. What is the third derivative of y(a) wrt a?\nAnswer: 1431600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22700000 to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15503168, -31006312, -46509456, -62012600?\nAnswer: -77515744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8981 - 7854 = -o - 4*h, o - h = 16845. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000283731944 to seven dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 166 = -12*s. What is the units digit of (-72)\/20*s\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27301515.9999666 + -27301435. Let c = -81 + h. What is c rounded to six dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**6\/60 - b**5\/15 - 24*b**2. Suppose h(a) = 0. What is a?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c**5 + 4*c**3 + 1641*c**2*g**2 + 9*c*g**2 - 9020*c*g + c - 2*g**2 wrt c.\nAnswer: 120*c**3 + 24*c + 3282*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3686575, 7373148, 11059723, 14746300, 18432879?\nAnswer: 22119460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 25 = a, 3 = a - 0. Suppose 4*j - q = -2. Suppose -5*m = -2*g - 0*g - 36, -3*g - j = m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phshh. Give prob of sequence ssps.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujs when three letters picked without replacement from gvgscujs.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5226770, 5226821, 5226872, 5226923, 5226974, 5227025?\n\"Answer: 51*a + 5226719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -b - 2*g, -g - 1 = -3*b - 7. Let q(k) = -47*k - 1. Calculate the remainder when q(b) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -0*a - 16. Let k(d) = 4*d - 10. Let x be k(a). Let b be 75\/27 - x\/81. Which is smaller: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*m + 5*f, 6*m + 3*f + 16 = f. What is the third biggest value in -3\/5, 0.054, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153626899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1032)\/215 - (7\/2)\/(-7)*10. Solve 8\/5*w - 9\/5 + g*w**2 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3365 - -9144. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 6*b**2 - 10*b - 2. Give d(8).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 384 + -356. Calculate the remainder when 111 is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w + 3*w**2 + 5*w**3 - 4 + w**2 + w. Let a(o) = -6*o**3 - 5*o**2 + 5*o + 5. Determine -4*a(f) - 5*t(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 531040 and 1062080?\nAnswer: 1062080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -241*c**2 + 11806*c + 148. Calculate q(49).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -122, -243, -364?\n\"Answer: -121*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 5. Does 12 divide ((-6)\/(-8))\/(s\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92970 divided by -6\nAnswer: -15495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56375, 55936, 55497, 55058, 54619, 54180?\nAnswer: 53741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 492 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7193195?\nAnswer: 5, 83, 17333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyytyyyrrty. Give prob of sequence trt.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 186 = -0*v. Calculate the remainder when v is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 24 = 13*f. What is the highest common factor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 61383, 122811, 184287, 245817, 307407, 369063?\n\"Answer: s**3 + 18*s**2 + 61367*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 - 4 + 4 + (1 - 9 - 14)*(3*l**3 - l**3 - 3*l**3)*(-4*l**2 + l**2 + l**2).\nAnswer: -43*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*(sqrt(27) - sqrt(216)\/sqrt(8))*2)\/(-3*sqrt(225)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 + 4*k + 2. Let x be d(-2). Suppose 0 = 6*s - x*s - 220. Is 2 a factor of (-1)\/(-3) + s\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2164087 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: Simplify ((x**(-2\/3)*x)**(-4\/19)*(x**(2\/3))**(-1\/16))\/(((x\/((x*x**1*x)\/x))\/x)**(-4)*(x\/(x\/x**(-2\/5)))**(9\/4)) assuming x is positive.\nAnswer: x**(-5481\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -105, -99, -103, -123, -165, -235, -339?\n\"Answer: -w**3 + w**2 + 10*w - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 + 10110?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 555, 2494, 5791, 10446, 16459?\n\"Answer: 679*t**2 - 98*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27337*v + 13276*v + 13485*v.\nAnswer: -576*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1040 = 101*k - 85*k. Calculate the remainder when 206 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 4 (b) 3 (c) -448.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 2. What is the remainder when q is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1183 + 4905. Calculate the smallest common multiple of 6 and a.\nAnswer: 11166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 8. Factor 3*f**g - 4*f - 2*f**3 - 2*f**3 - 6*f**2 - 4*f**4 - 1.\nAnswer: -(f + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by (-98)\/(-21)*3\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-208)\/(-16) - (-4830 + 1)?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109137209 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*i + 2 - 17, 8 = 3*i + l. Let c = 1 + -3. Calculate the least common multiple of i\/((c\/(-2))\/8) and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 116 - 1. Let z(p) be the first derivative of p**2 + 8*p + 8. What is the remainder when q is divided by z(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776*r - 11868 = -1052*r for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -973.31578 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 - (-12)\/8. What is the greatest common factor of y and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-27) + (-10)\/(-45) + 9. What is the third derivative of h - 5*s**2 - 185*s**4 + 2*s**2 + 0 + 119*s**4 + 0 wrt s?\nAnswer: -1584*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/70)\/(((-600)\/140)\/5)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**3*s - 4*n**3 + 43*n**2*s - 4*n*s - 2*n - 15*s wrt n?\nAnswer: 12*n*s - 24*n + 86*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 + 153. Suppose 5*n - 165 = 320. Let y = n + -89. Calculate the highest common factor of h and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 131*s - 40. Let j be g(8). Let i = j + -570. What is i rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*g - z, 2*g - z - 3 + 2 = 0. What is the hundreds digit of 4762\/26 - g\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*u - 96*u + 12684 = 0. What is the hundreds digit of (8 + -2)*(1 + u\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*x - 4 = 0, 0 = 3*g - 4*x + 12 - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61083 by -33.\nAnswer: -1851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.001, 2, 1\/2, 0.2, -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -164 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - 16. Let i = f - -38. Let y = -145 - -200. Calculate the highest common factor of i and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-2\/5)*t**(-1\/8))**(-36)\/(t\/t**(2\/11)*t*t*t**(1\/3)*t*t*t*t*t\/t**(2\/3)*t*t\/(t*t**2*t)*t) assuming t is positive.\nAnswer: t**(-29167\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/11 - 42*b\/11 - 40\/11.\nAnswer: -2*(b + 1)*(b + 20)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 10:00 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 24*a**2 - a - 33. Is k(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588278\/811 smaller than 1958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447523966 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 12. Let c = w + 5. Solve 3*f - 7*o = -c*o + 9, 4*f - 12 = 4*o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2347721 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/(((-3)\/10)\/(-1)). Suppose -v + 20 = -g*v, -1 = -2*w + 5*v. Let i be 9\/(-4) - (-9)\/w. Sort 0, 5, i, -4 in decreasing order.\nAnswer: 5, 0, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10930, 10873, 10804, 10717, 10606, 10465, 10288?\nAnswer: 10069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 674327 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*z - 14, z + 14755 = -2*b + 14742 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43 and 5662584?\nAnswer: 5662584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 12:53 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (32643\/72)\/(-9) + 522\/1392\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-76 + (8 - (0 + 19)) + -6).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-270)*(2 - -1). Is h != -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -7, 3 in decreasing order.\nAnswer: 4, 3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 1\/16 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1 = 3*m, -45*m + 60 = -5*s - 40*m. Sort -4, 6, -3, -159, s.\nAnswer: -159, s, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f - 22. Calculate the smallest common multiple of t(-6) and 370.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.86 - 4.6. Let s = b - -0.74. What is the nearest to 0.2 in 7, s, -1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-12)\/14)\/(21\/(-140)) and -13\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1310 - 2339. Round h to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 13*a**3 + 4*a**2 - 13*a + 11. Let v(r) = 7*r**3 + 2*r**2 - 7*r + 6. Let x(i) = 6*l(i) - 11*v(i). Let m be x(-2). Is 24 - -1812 - (-1)\/m*-2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3825)\/(-1530)*(-208)\/10.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 12. Let r be m(8). Solve 0 = -t - 4*u - 13, -14 = 4*t - 7*u + r*u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109\/3 - -37. Let h(f) = -f**3 - f**2 - f + 5. Let y be h(0). Put 0, x, y in decreasing order.\nAnswer: y, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-1911)*287 - -19.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (-6 - 24)) + -34?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3347317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 33 (b) -2\/9 (c) -0.5 (d) 1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmnnnmmnmmmmmmnmmm?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, g: 4, j: 1, l: 1, i: 2, u: 6}. What is prob of sequence gigy?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5 - 0. Suppose 4*d = -d + x - 15, 2*x = -2*d - 6. Let y = h + d. Let l(a) = 2*a - 5. Let n(w) = w - 4. Determine y*l(c) - 3*n(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 1, s: 1, e: 2, i: 1, n: 1}. Give prob of picking 1 n and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 74 + 10 = 4*n, -5*h = n + 123. Let y = 42 + h. Suppose -12 - y = -3*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5*sqrt(143)*1)\/(-6*sqrt(11)*-2))**2*3 + -3.\nAnswer: 1481\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003545482 rounded to six dps?\nAnswer: 0.000355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1133*l + 53475. What is h(-47)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:56 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-736)\/(-384) - 3\/(-4). Determine t so that -19*t**2 - y - 38\/3*t - 5\/3*t**4 - 32\/3*t**3 = 0.\nAnswer: -4, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15589*f + 5 = 15582*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6534 divided by -3267\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - -8. Let m be g\/4 - (-1)\/(-4). Solve 4*k - 3*y - 12 = -2, 4*k - m*y - 6 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 90978 = 3*g, 5*g - 90233 = h + 61415. 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 oth term of -242, -1838, -6114, -14402, -28034, -48342, -76658?\n\"Answer: -222*o**3 - 8*o**2 - 18*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.58807?\nAnswer: -0.235228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39\/142 or -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 108, 125, -26, -429, -1168, -2327, -3990?\n\"Answer: -14*j**3 + 115*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34, -18, -64, -104, -138, -166?\n\"Answer: 3*l**2 - 61*l + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + t**2 + 0*t**2 + (1 - 1 + t)*(0*t - 5*t + t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010110110010011 - 101?\nAnswer: 11010110110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b + 194 = 5*u, 0 = 4*u - 4*b - 152. Suppose -3*w + 57 = 4*p + p, 4*w - 59 = -p. Calculate the remainder when u is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkhkhkh. Give prob of sequence kk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 12*o**2 + 7*o. Let c = -406 + 412. What is the hundreds digit of n(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12*u + 169. What is q(47)?\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -29728179100 to the nearest one million.\nAnswer: -29728000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*b + 144, -3*b = 5*k - 2*k - 72. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9942659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**3*x - 277573539*q**3 + 5*q + 469*x - 161 wrt q.\nAnswer: -6*q*x - 1665441234*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5202)\/(-867))\/(3\/24*-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 277\/94200 - 1\/785. Find the common denominator of 95\/42 and j.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from mjcttjttjtmmctjjc.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -95\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 8:32 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = 8. Let r = -12 + 15. What is the remainder when d is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10307 is divided by 2043.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 2*b - 1. Let k be s(1). Let g(o) = 2*o - 3. Let f be g(k). Let m = f - 4. Do 0 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140148*q**2 - 69902*q**2 - 69916*q**2.\nAnswer: 330*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 13 + 19 = 0. Let y(l) = l**2 + 7*l - 6. Let j be y(-8). Calculate the greatest common factor of j and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 453204.801 to the nearest 10.\nAnswer: 453200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*s**2 + 21*s + 85*s**2 - 16*s)*(-2*s + 6*s - s).\nAnswer: -18*s**3 + 15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.32 and 0.05.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(495))\/sqrt(9))\/((sqrt(20)\/sqrt(2))\/sqrt(2))*-4*6 + 4.\nAnswer: 4 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a**3 + 0 - 1\/16*a**8 - 14*a**2 - 7\/30*a**5 + 0*a**6 + 0*a**7 - a + 0*a**4. What is the third derivative of u(l) wrt l?\nAnswer: -1260*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-1*9) - 39\/(-63)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 127\/3 in -0.4, 1.7, -1, -3, -0.5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 98*l - 53. Let s be f(-3). Let j = -278 - s. Calculate the remainder when j is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 20*s**2 + 24*s + 11. Determine h(-21).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 56352752 divided by 148688\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8936, 35743, 80422, 142973, 223396, 321691, 437858?\n\"Answer: 8936*m**2 - m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1440 - 1179. Calculate the least common multiple of k and 116.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**3 + 93*w**2 + 672*w - 768 = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12045078 and 612.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134149\/25 - 5366. Which is the second smallest value? (a) i (b) -45 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1945807.2 minutes?\nAnswer: 1351.255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*w + 285*w + 282*w - 10 - 846*w - 42.\nAnswer: -2*w - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Let l be (-4 + w)*(3\/(-6) - 1). Let o(y) = 4*y. What is o(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2367895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2)*r\/r**4*r**(2\/5)*r**(-2\/5) assuming r is positive.\nAnswer: r**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.43993 nanoseconds in microseconds?\nAnswer: 0.02843993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.01 (b) -3 (c) -2 (d) -2177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 0 + 718\/11*i**2 + 348\/11*i - 1000\/11*i**3 - 6*i**4 = 0.\nAnswer: -174\/11, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2 - 5 + 0 + 4 + (4 + 1 - 4)*(-5 + 2 + 2) - 2 + 0 + 0 - 3 + 1 + 4 + 3 - 1 - 1)*(-3*q - 1 + 1)*(0*q + q + q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 37, -4, 2 in ascending order.\nAnswer: -5, -4, 2, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2375406 and 1188?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8550881 months to centuries.\nAnswer: 0.00154590675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1\/9)\/(2\/(-6))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11252 - 0?\nAnswer: 11252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-20)*150\/12. Let a be -21*(-4)\/80 - -2*9\/(-60). What is the closest to -31 in -1\/3, c, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -216582*x**4 + 717*x**3 - 792735076*x**2.\nAnswer: -5197968*x + 4302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and (0 + 36)\/(-1 + 2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 - 7*k - 12. Let m(u) = -u**2 - 6*u - 13. Calculate 4*m(f) - 3*y(f).\nAnswer: 2*f**2 - 3*f - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 32. Let a be (-6)\/5 + d\/25. Let w = 16607\/45 - 369. Which is greater: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/13)\/m**(-2\/21)*(m\/(m\/(m**(-2\/15)\/m)*m)*m)**(3\/4) assuming m is positive.\nAnswer: m**(-3701\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2. Let q(i) be the second derivative of 5*i**3\/3 + 17*i. What is z(q(o))?\nAnswer: 100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1704470 to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(0 + r**3 + 0) - 9*r**2 + 4*r**3 + 9*r**2.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1775848 and 3008.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*c, -28*c = 2*a - 24*c - 17564. List the prime factors of a.\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -208 - -a4a43?\nAnswer: a4836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9a65 - -4?\nAnswer: -9a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*s + 35*s - 14*s**2 - 134*s**3 - 25*s**2 wrt s.\nAnswer: -804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2134, -8114, -21858, -47248, -88166, -148494?\n\"Answer: -647*r**3 - 1451*r - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 63*y - 4 - 166*y + 57*y + 62*y. Let l(s) = 6*s. Calculate r(l(v)).\nAnswer: 96*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/110)\/((-3895)\/(-2337)*(-6)\/50)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 28 = 11*a. Let z = 20 - 15. Let c(w) = w + 8. Let b be c(-6). Solve z*g = -4*y - 4 + 22, y - b*g = -a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*i + 6190 = -108*i. What are the prime factors of i?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 - -56. Suppose -8*h - 2*t + 48 = -3*h, 5*h + j*t = 45. Suppose -2*w = -h, -2*k - 121 = -6*k - 5*w. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2172 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(17) - (sqrt(17) - (sqrt(153) - sqrt(17))*1)) + -1.\nAnswer: -sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 1:40 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*b**3*i + 17*b**3 - 365591*b**2 + 7103*i**4 - i**3 wrt i?\nAnswer: -8*b**3 + 28412*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 554 times 16?\nAnswer: 8864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.18, 437 in descending order.\nAnswer: 437, 0.1, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 12 = -m. Suppose 4*d - d = 6. Let v = m - d. Solve -5*q = -q + v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.94 and 5.1170664?\nAnswer: 6.0570664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*h - 22, 12*b + 5*h + 10 = 14*b. Suppose -4*p + 4*g + 16 = 0, 0 = -3*p + 36*g - 32*g + b. Solve 2*r - 2*c = 0, r = p*r - 3*c + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 11:23 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53979460 divided by -2698973.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*b**2 - 5*b**2 + b**3 - 2*b**2 - 1 - b - 6*b**2 - 20*b**4 in the form y*b**4 + k + g*b + d*b**2 + r*b**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1260 and 61\/5544?\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495201501.\nAnswer: 3, 55022389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 367833112 divided by 1\nAnswer: 367833112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2444, 4776, 7108?\n\"Answer: 2332*o + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 h, 1 j, and 1 d when four letters picked without replacement from {d: 3, g: 3, h: 1, k: 3, j: 1, c: 3}?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bc + 18?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*p - 57 = 0, 789 = -3*r - 2*p + 888. Let m be 1158\/10 - (-1)\/5. What is the highest common divisor of m and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -0.5, 2, 21, -4, -4\/3.\nAnswer: -4, -4\/3, -0.5, -0.09, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a5 + -344?\nAnswer: -24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1327, -1356, -1391, -1432, -1479?\n\"Answer: -3*o**2 - 20*o - 1304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (1 + -8) - -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 + -34.9. Let j = v + 32.00039. Round j to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddldlddildddidddd. Give prob of picking 2 i.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w + 8. Calculate b(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2 + k - 2*k + 0*k - 2. Let y be a(-5). Let f be 3\/y - 264\/56. Which is smaller: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 118*m**2 - 2645*m - 445. Calculate g(-88).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*r + 21 = 8, -3*r + 19 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*q = 30 + 96 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337, 335, 333, 331?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.284498 + -0.174407. Let k = 0.11 - q. What is k rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2549 + 4154. Suppose 7*p = 3*p + a + z, -4*a - 1220 = -3*p. Suppose -4*t - 3*d = -p, 4*t - 400 = -0*d - d. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15985999, -15986045, -15986091, -15986137?\nAnswer: -15986183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -877499 and 0.02?\nAnswer: 877499.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -198*k**5 - k**4 - 21*k**2 + 8681*k?\nAnswer: -3960*k**3 - 12*k**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11880\/(-1000))\/(-11))\/(2*5\/(-100)).\nAnswer: -54\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 0.021\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*j*l - 12686*f**2*l**3 - 3*f*j - 24*j*l**3 - 1201*j wrt f.\nAnswer: 2*f*j*l - 25372*f*l**3 - 3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, 0, -99, 1\/1453 in increasing order.\nAnswer: -99, 0, 1\/1453, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 + -11.94. Let v = g + 11.9. Let q = -4 + 3.6. Which is the closest to -2\/5? (a) v (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2)\/g)**(-14)*g\/g**(-1\/4)*(g**(1\/4)\/g)\/g)\/((g\/(g*g**(2\/5)))**(-35)*(g**0)**(7\/9)) assuming g is positive.\nAnswer: g**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Let t = -22.41 + -0.59. Let a = -22.4 - t. Put a, g, -5 in decreasing order.\nAnswer: a, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.01 * 1.1\nAnswer: -1.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 12\/(-9))*(-1)\/4. What is the third biggest value in -0.5, 3\/5, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192441 = -2*c + r, 481104 = 5*c + 110*r - 111*r. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 3)*(-2*b + 2*b + 4*b**2) + 24*b**2 - 327 + 327)*(2*b - 2*b**2 - 2*b)*(-3 - 3 - 1).\nAnswer: 280*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 2:49 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18695429*f*u - 71*u - 17283 with respect to f.\nAnswer: 18695429*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 3)*(-3*v + 2*v - v) - 5 + 2*v + 5)*(-46*v**2 + 2*v**3 + 97076*v + 97093*v - 194219*v).\nAnswer: 8*v**4 - 184*v**3 - 200*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.9 + 43.429. Let t = y + 0.873. Let a = t + -0.39991. What is a rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109873 by -3.\nAnswer: -109873\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 10, 2, -5.\nAnswer: -5, 2, 10, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f + 0*f**2 + 2*f**2 + 16*f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3254 by 4.\nAnswer: 1627\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.03, -0.032, -1\/4, 2\/13.\nAnswer: -1\/4, -0.032, 2\/13, 7.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000048671885 rounded to 7 decimal places?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2dca2 (base 16) in base 11?\nAnswer: -118a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 2*t = 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**6 - 21966*q**5 + 2*q**2 + 10074 wrt q.\nAnswer: 120*q**3 - 1317960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 5:04 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -188311, -376637, -564963, -753289?\n\"Answer: -188326*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 25. What is the highest common factor of 16 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 j, and 1 u when three letters picked without replacement from {t: 2, g: 2, f: 1, u: 7, j: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g + 67. Let b(d) = -11. What is 3*b(s) + o(s)?\nAnswer: -3*s + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**4\/4 + z**2\/2 + 10*z - 523. Let r(u) = -u**3 + u**2 - u. Let w be r(0). What is the remainder when 59 is divided by b(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 7:08 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**4 + 1252278*i**3 - i**2 - 123509094*i?\nAnswer: 48*i**2 + 7513668*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2341 - 11706\/5. Which is the closest to 2\/5? (a) v (b) 2\/3 (c) 4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 72 = 3*z. Let a be z\/(-9) - 1\/3. Let v(t) = t**3 + 4*t**2 + t + 3. List the prime factors of v(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 141? (a) 58\/9 (b) 0.024 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.6 + -2.49. Let n = -46 - -46.89. Let x = u + n. Which is the nearest to 0.1? (a) -5 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -628*s - 148 + 988 = -684*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 9 - 24 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122 + -2 + 2 + (-75 + 52 - (-17 + 3)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22732, -128, -34 in descending order.\nAnswer: 22732, -34, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*u**5*z**2 - 2*u**5 + 5*u*z**2 + 2*z**2 wrt u?\nAnswer: 100*u**3*z**2 - 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 3 - 3) + -6. Let v be 2 + -1 + -1 + g\/15. Which is the smallest value? (a) -0.4 (b) -1.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66214 times -8.7?\nAnswer: 5.760618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/(39\/(-3996)) - -3. Let v(j) = j. Let b be v(0). Suppose b = -3*l + f - c - 46, -l - f - 459 = 0. What is l rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11290706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + (-75 - -44) + (8 - 7 - 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 44552 + -5?\nAnswer: 4454c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 + 294488 - 294488.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 265704975 to the power of 1\/3, to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 10251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (1*(sqrt(204) + 3*sqrt(204)))\/(-3*3*sqrt(12))) + 1.\nAnswer: -17 + 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.289 minus 0.1?\nAnswer: -3.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15886133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3815153.9661012739 - -13.0340087261. Let t = d - 3815187. Let q = 20 + t. What is q rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -172?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 3:37 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -5, 2, -0.158?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.121 times 0.3\nAnswer: -0.0363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1310*q - 3413 = -88224 - 80249 for q.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -22*s**2. Let u(z) = -z. Let a(g) = -2*g - 7. Let c be a(-3). Let t(d) = 4*d. Let q(j) = c*t(j) - 2*u(j). Determine q(m(v)).\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 144448703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -r + 2*i + 9, 0 = r + 2*i - 23. Suppose 36*t + 26 = r*t. Let c(g) = 5*g**2 + 2*g. Give c(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -0.5, 3.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 + 15 - n - 32)*(0 - 1 + 0) as v*n + a and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i + 243. Let b(h) = -17*h - 1217. Determine -2*b(g) - 11*p(g).\nAnswer: g - 239","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 0.2275, -290, 7, 0.4?\nAnswer: 0.2275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49914866, -49914861, -49914856, -49914851, -49914846?\n\"Answer: 5*m - 49914871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/(-15) - (-852)\/(-210) and -54\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-456))\/(1\/(-2) - 70\/(-84))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7870, 7871, 7872, 7873, 7874, 7875?\n\"Answer: b + 7869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssmcmzs. What is prob of sequence scmz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 4, -21, -68, -143, -252, -401, -596?\n\"Answer: -a**3 - 2*a**2 + 4*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4)\/(w*w**(-1\/3))*(w**3\/w)\/w**3*w**(-4)\/(w\/(w\/(w**7*w*w)))*((w*w**2)\/w)**9 assuming w is positive.\nAnswer: w**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8613 and 1234629.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50847*r - 728 = -50899*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) 1 (c) 6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6776226827 to the power of 1\/2, to the nearest integer?\nAnswer: 82318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1459682 and 18?\nAnswer: 13137138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 12*h**3 + 2*h**2 + h + 114. Let v(x) = 5*x**3 + x**2 + x - 1. Give f(z) - 2*v(z).\nAnswer: 2*z**3 - z + 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 147937.544 to the nearest one hundred.\nAnswer: 147900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -956*i + 11566 = -3730 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 126728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**2 - 78506844*m + 513610379570028 = 0.\nAnswer: 13084474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r + 4*r - 1 + 2*r - 5. Let b(d) = d**2. What is b(k(n))?\nAnswer: n**2 + 12*n + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -u**3 + 525252*u**2 + u - 8230929?\nAnswer: -3*u**2 + 1050504*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 30. Suppose -5*u - o + q = 0, 1 + 0 = -5*u + o. Suppose 0*b + 3*b + 18 = u. Let m(p) = -p**3 - 5*p**2 + 6*p + 5. Determine m(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85 + 19*b + 26*b + 84 - 2*b + 0*b + 0*b + 0*b + 2*b - b + (4*b - 4*b - 2*b)*(-2 + 1 + 2) + 0 - 2*b + 0 + 0 + 0 + b to d + f*b and give f.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2. Let x(d) = 3*d - 2. Let n(b) = -13*b + 9. Suppose 9*u - 4*u - 10 = 0. Let c(t) = u*n(t) + 9*x(t). Give f(c(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 348.53814s in hours?\nAnswer: 0.09681615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = -4*o, 16 = -3*y - 8*o + 4*o. Let p be 354\/9 - 8\/y. What is the greatest common divisor of 70 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12 - (-5)\/120\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 13) + -4 + -1 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-105) + (-257)\/(-15). Suppose -8 = n*v - 19*v. Solve 0 = b + v*b - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Suppose -4*h + 5*f - 8 + 1 = 0, 5*h + 2*f - 16 = n. Is h bigger than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v = 6. Suppose -v*s - 10 = -2*a, -3*a + 8 = 3*s + s. Factor 2\/7*r**2 + 0*r - 4\/7*r**3 + 0 + 2\/7*r**a.\nAnswer: 2*r**2*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*k + 151 = -2*k, 2*w - 4*k - 110 = 0. Suppose -3*j - 8 + 23 = 0, 4*u - j - w = 0. What is the highest common divisor of 854 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 546*v - 99. Let f(p) = -68*p + 12. What is -33*f(b) - 4*q(b)?\nAnswer: 60*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 813 + 69*w - 19*w - 25*w - 23*w.\nAnswer: 2*w + 813","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.59 - -25.41. Let i = 25.99999675 - a. What is i rounded to 7 decimal places?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -196*s**2. Let w(h) be the first derivative of -7*h**3\/3 + 159. Determine g(w(z)).\nAnswer: -9604*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 618509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55031986*j*p**2 - 107918438*p**2 wrt j.\nAnswer: 55031986*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/(-4)*(-288)\/27)\/((-561)\/9) and 7\/11.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 10. Let v be x(7). Let t be (v\/10)\/(1\/5). Calculate the greatest common divisor of t and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4599, 4607, 4613, 4617, 4619?\n\"Answer: -i**2 + 11*i + 4589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -532778000 rounded to the nearest one million?\nAnswer: -533000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p*p**(-1\/13)*p*p)\/p))*p**27)**26 assuming p is positive.\nAnswer: p**752","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87\/(-10) + 38 + (-57 - -28)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 946*l**2*s**2 - 692*l*s**2 + 2*l wrt l?\nAnswer: 1892*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3840\/(-40000)*(-2)\/3)\/(4\/(-5))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-2 + -1 + 3)\/(114\/(-57)) - -20640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 529.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 0)\/(-3*11\/2). Suppose c = -4*b - 13, -7 = -c - 0*c + b. What is the closest to 0 in c, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 7. Let i be r(-7). Let l = i - -35. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -13775?\nAnswer: -13778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 222 + -220. Let k = d - -114. Calculate the greatest common factor of 145 and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 + 1)*(b + 86 - 86) + 24 - 41 + 4*b + 20 + (-1 + 4 - 1)*(-3*b + 4*b + 3*b) to the form j + k*b and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 492 and 13900?\nAnswer: 1709700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 6*c + 0 - 2\/3*c**4 + 0*c**5 + 4\/21*c**7 + 0*c**3 + 0*c**2 + 0*c**6. Find the third derivative of r(k) wrt k.\nAnswer: 480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 21083. Let l(s) = s. Give o(l(g)).\nAnswer: -g**2 + 21083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, d: 7}. Give prob of sequence dc.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 58*b**2 - 2*b - 2. Let n be s(-2). Suppose 114*i = 138*i + 2304. Let q = i + n. Calculate the remainder when q is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4862\/9 - (-6)\/(-27). Suppose -3*u + y - 1 + 15 = 0, 0 = -u + 2*y + 8. Suppose -2*b + x = u*b. What is b rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 93479566445*u**3 + 186924949640*u**2 - 68363375*u + 6250 = 0. What is u?\nAnswer: -2, 25\/136733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122555323 divided by 5.\nAnswer: -122555323\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -24*(-6)\/9 + -1. Let n = 1 + 1. Let y be n\/(-8) - 42\/(-8). Calculate the highest common factor of t and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*n + 6 + 8, z - 2*n = -2. Let j(t) = t**2 - 12*t + 28. Calculate j(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3 + 2)*((-235)\/(-47) + -5*34)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f*f\/(f**(-2\/3)*f)))**32\/(f**(2\/41)*f*f*f)**(1\/63) assuming f is positive.\nAnswer: f**(-55229\/2583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1354 + 1348. Let b(g) = 70*g**2 - 85. Let v(o) = 630*o**2 - 765. Let d(k) = -55*b(k) + 6*v(k). Let c(l) = 5*l**2 - 6. Calculate x*d(a) - 85*c(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -19) + -31 + -2 + 36 + -16 + 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5313 (base 9) in base 12?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32175255 and 3.\nAnswer: 96525765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3610884.186 to the nearest ten thousand.\nAnswer: -3610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m, -m - m = -4*t + 271584. Let w(g) = -67896 + t - 45*g. Let d(k) = 5*k**2. Determine w(d(f)).\nAnswer: -225*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 34*s - 1260 = 0. Calculate the remainder when 479 is divided by s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -17*v**2. Let d(g) = -3. Let z = -35 + 49. Let m(i) = -3*i - 21. Let t(r) = z*d(r) - 2*m(r). Calculate t(n(x)).\nAnswer: -102*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840 divided by -60.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**3 + 30*c**2 + 4*c + 50. Let m be w(-10). Solve 3*z - m - 2 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaz when three letters picked without replacement from mzayzmyzmyaszmmm?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*v - 5, 2*r + 4*v - 40 = -2*r. Suppose 4*k = r*i - 19, 0 = k - 0*k + 1. Suppose 2*h = -i*h. Solve h = -l + 1 - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 383897027 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 50 = -5*q, 2*a + 47*q + 18 = 48*q for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - q. Let b(u) = -u**2 + 3*u + 2. Let v(k) = b(k) - 2*z(k). Let y(x) be the first derivative of v(x). Give y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 4*z - 2. Let s be y(3). Let v be s\/4 - (-141)\/12. Let i be 9\/v*(-1)\/3. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*0.9216\nAnswer: 0.175104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 311 = c, -4*a + 3*a - c = -105. What is the remainder when a is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-35) + (-23)\/(-5). Let l(m) = j*m - 5*m - m. Let q(i) = -20*i + 6. Let h(f) = -2*f + 1. Let d(g) = 6*h(g) - q(g). Give l(d(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 271565 bigger than 271565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3 - 0) + -1 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/(2\/(-12)). Let w be (-8)\/4 + (-3)\/2*-10. Suppose 4*v - 15 = -3*a, t*v + 5*a - a = w. Solve -v*o + 6*o + 6 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 12 = -6*n + 4*n, 4 = 3*p - 5*n. Let s = 3 - p. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32760)\/294)\/52*(-84)\/9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 177301523 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 7\/5 and -1\/1376 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 2*n**2 - 5*n. Let k(z) = -4*z**3 - 7*z**2 + 14*z. What is 7*c(t) + 2*k(t)?\nAnswer: -t**3 - 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/27*(7290\/(-200))\/(-27).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.071793 plus -0.128539?\nAnswer: -0.200332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 2:15 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.280003558 + 2.28. What is m rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 3:19 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 2*d + 2 + 4*d**2 - 12*d**2 as i*d**2 + t + u*d and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2266 + 2269. Solve -4*h - 11 = 2*s - i*h, 3*s + 15 = -h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5035044 + -4?\nAnswer: 5035040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 8500.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5775000 to the nearest 100000.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/266 and 121\/380.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 - 23*l**2 + 2*l**3 + 23*l**2 + 17 - 4*l - 20 in the form d*l + v + n*l**2 + t*l**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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 the third derivative of -39*g**3*x*y - 90198*g**3*y**3 + g**3*y + 3*g**2*x*y**3 + 19*g**2*y + 3*g*x*y**2 + x*y**2 wrt y?\nAnswer: -541188*g**3 + 18*g**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1611927 rounded to 2 decimal places?\nAnswer: 1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 2*t - t)*(2*t**4 + t**4 + 0*t**4) + 3*t**4 - 3*t**4 - 2*t**5 + 2*t**5 - t**5 + 2*t**5.\nAnswer: 10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 27*t**5 - 92*t**4 + 142*t**3 - 74*t**2 + 11*t. Let d(q) = 9*q**5 - 31*q**4 + 47*q**3 - 25*q**2 + 4*q. Let x(g) = 7*d(g) - 2*m(g). Factor x(c).\nAnswer: 3*c*(c - 1)**3*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 4:27 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13c46 (base 13) in base 3?\nAnswer: -1220002012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(18) - sqrt(96)\/sqrt(3))**2 - -1*(sqrt(32) + -3).\nAnswer: 4*sqrt(2) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuwrh. What is prob of sequence hr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/15)\/((28\/10)\/14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 286 = -78. Is x <= 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/5, 1\/5, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 40*t + 5. Let a(s) = -2*s**2 + 40*s - 7. What is -3*a(b) - 4*k(b)?\nAnswer: 2*b**2 + 40*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uumuuumu. What is prob of sequence mum?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*x + 48*x - 14*x + 27*x = 9216 for x.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((12 - 2) + -6) - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -41\/3*r**3 - 21*r**2 + 28 + r. Differentiate n(h) wrt h.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405.2971l in millilitres?\nAnswer: 405297.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (183*r**2 - 92*r**2 - 93*r**2 - 5 - 2*r)*(155*r**2 - 91*r**2 + 42*r**2) to t*r**2 + w + y*r**3 + a*r**4 + s*r and give y.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11)\/((-770)\/23338)*20.\nAnswer: 2, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 78*u + 2718. Let b be c(-35). Let y(a) = a**2 + 10*a - 4. Calculate y(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*n**2 - 6*n - 9\/2.\nAnswer: -3*(n + 1)*(n + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*a + 191400 = 34*a + 27*a. Calculate the smallest common multiple of a and 33.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23681 by 40.\nAnswer: 23681\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-21))\/(1212\/(-72114))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -437892, 37 in descending order.\nAnswer: 37, -5, -437892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 6248663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 + 168. Let j = 52 + v. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/963 - -2320\/321. What is the common denominator of s and -22\/387?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.7 times 0.3435?\nAnswer: 34.93395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 7*x - 5. Let f(u) = -u**2 + u + 28. Let c be f(0). Let l = -22 + c. Give v(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1660\/28 - 59)\/((-57)\/21). Suppose -3*g - 8 = -3*v - 7*g, v + 4 = 2*g. Suppose v = -2*q - q + 3. Which is the nearest to q? (a) 0.4 (b) o (c) 12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0667 + -41.6.\nAnswer: -41.6667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**4\/12 + v**3 + 7*v**2\/2 + v. What is o(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*n - 41*n + 7*n - 12*n as l + j*n and give j.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 633254*s - 633280*s - 780 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 774 = 9*f - 3843. What is the highest common factor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 29.213.\nAnswer: 233.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(-6*sqrt(4)*1))\/(-6*sqrt(18)*6).\nAnswer: sqrt(13)\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -553100023?\nAnswer: -553100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -14. Suppose 4*g = 3*u + t, 9*g - u = 4*g + 32. Let h(z) = z**2 + 3*z - 1. Is h(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + 58288*z + 2036405. Determine q(-35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + (111 + -113 - (1 - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1410898 is divided by 513?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 76407787 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -121*o**6\/10 - o**4\/12 + 97*o**3\/6 + 561*o. Find the third derivative of c(h) wrt h.\nAnswer: -8712*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 70, 138, 206?\n\"Answer: 68*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 5*u**2 - 9*u + 10. Let x be w(6). Do x and 0.002 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103585597 take away 130?\nAnswer: 103585467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515.24 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -19 - (-4 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -779034*u**3 + 1922583 with respect to u.\nAnswer: -2337102*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 3*g + 9. What is the remainder when 32 is divided by (-1)\/g*(-153)\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 1\/(-1 + 0). Calculate the common denominator of d\/(10\/39) - 0 and (-2)\/9 + 406\/(-36).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 16) + -12 + 0\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -5, 1072863, 5, 3 in decreasing order.\nAnswer: 1072863, 5, 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62358135 to the nearest integer?\nAnswer: 7897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 13 (b) -1\/4 (c) 0.5 (d) -5\/3 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z**3 + 4*z**2 + z - 6. Let r(n) be the first derivative of -5*n**4\/4 - 2*n**3\/3 - n**2\/2 + 3*n - 52. Let k(u) = -7*r(u) - 4*x(u). Calculate k(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 645, 380, 79, -258, -631, -1040?\nAnswer: -1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-21)*(-7)\/((-49)\/6).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n**2\/7 + 6*n\/7 + 36\/7 = 0.\nAnswer: -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 22*i**2 - 2*i - 11. Let g be a(-11). Let f(l) = l + 6. Let w be f(0). What is the first derivative of -g*k**2 - w - 11 - 12 wrt k?\nAnswer: -22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 209.06 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3084767862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 43 = 5. What is the highest common factor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32\/13, -1.1, 0.0628 in descending order.\nAnswer: 0.0628, -1.1, -32\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) 3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 c when four letters picked without replacement from nncncnc.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (18\/(-5))\/(9\/(-30)) and (6 - 0)*10\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35745 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccmjcmkxcjxmccxxkxk. Give prob of picking 2 x, 1 j, and 1 c.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2061 - -2066. Let u be 11875\/15 + 1\/3. List the prime factors of (-1)\/(u\/(-158) + v).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 9*q**2 + 2*q - 8. Let p(d) be the first derivative of 8*d**3\/3 + d**2 - d + 2. Let l be p(1). What are the prime factors of i(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + -1 + (4 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 72 = 71*v - 55 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 + 94*u**2 - 134*u + 62. Let o be k(-30). What is the highest common divisor of o and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1540 is divided by 1509.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 4) to base 3.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13647030 divided by -909802?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5777 divided by 5?\nAnswer: 5777\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6565 - 6639.78. Round y to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m**2 - 34*m + 40. Let p be l(4). Solve 5*z - c + 22 = p, 30 = -5*z + 2*c + 3*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 9. Suppose g + c = -g. Sort 6, g, -4 in increasing order.\nAnswer: g, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 2520 - 1091 - 1074 in the form n + t*l**3 + p*l + b*l**2 and give n.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.48 - 4.19. What is the nearest to -2 in -0.1, 0.5, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(192) + sqrt(12)) - sqrt(3) - (sqrt(3) + (sqrt(75)*2)**2).\nAnswer: -300 - 9*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 21*c - 19. Let y be -16*(6\/(-4) + (-15)\/(-12)). What are the prime factors of q(y)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*((-9)\/(-4))\/(-1))\/((-14225)\/56900).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104394529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-496)\/(-120) - (12\/90 + 0\/6). Let d(q) = -2*q - 10. Let z be d(-7). Suppose l - 2 = -4*s, -2*l = -z*s - 1 - 3. Solve 4*f + n + s = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*h + 20. Suppose -5*z = -2*t + 4, 3*z - h = 5*z - 3*t. Suppose 36 = 3*p + 3*g, z*p - 4*g = -2*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 842*t**4 - 2*t - 614. Let q(o) = 1684*o**4 - 4*o - 1225. Let a(k) = 3*q(k) - 5*v(k). What is the second derivative of a(r) wrt r?\nAnswer: 10104*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5970883192.\nAnswer: 2, 1123, 664613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5 + 10504*f**4 + 42064*f**3 + 42080*f**2 = 0. What is f?\nAnswer: -2, 0, 2630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*h - 34*h - 2*h - 4*h - 29*h - 4*h + 41*h.\nAnswer: -93*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = t - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-39) - 270\/(-65). Let k be (-7)\/7 + -1 + f. Is 5 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006383 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*h - 32, 0 = 5*u - 2*h - 80 - 80. Suppose u = -0*k + 4*k. Suppose k*o = 7*o. Solve o = -m - m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 306 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 + 16 - 118 + 35980*g.\nAnswer: 35980*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 6:26 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1330, -2844, -4744, -7204, -10398?\nAnswer: -14500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 492808451 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -21.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-3)*(4 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((336\/72)\/(-14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-3 - (4 - -1 - (-44 - -47)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n + 152. What is the least common multiple of d(-15) and 49?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Let b(i) = -i - 2. Let l be b(-4). Solve m = 3*h - 3*z + l + 7, -z = -3*h - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835)*2*1)\/(sqrt(5) - sqrt(200)\/sqrt(10) - sqrt(10)\/(-2*sqrt(2))).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(sqrt(8) + sqrt(2) + 4) + 3.\nAnswer: 6*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44414438\/25 or -1776579?\nAnswer: -44414438\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**3 + 29*n**2 + 41*n + 2. Let s(o) = -2*o**3 - 13*o**2 - 20*o - 2. What is -4*i(a) - 9*s(a)?\nAnswer: -2*a**3 + a**2 + 16*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012111240 (base 5) to base 3.\nAnswer: 10212222122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-2))\/(2\/(-4)). Suppose y*g - 108 = -g. Let u = 15 + -6. What is the greatest common divisor of g and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -5\/24*i**4 - i + 17 + 5\/12*i**3 + 0*i**2. Let m(t) be the first derivative of g(t). Factor m(l).\nAnswer: -5*l*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 71, 153, 265, 407, 579?\nAnswer: 781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 g when three letters picked without replacement from {u: 4, g: 16}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -283.\nAnswer: -2264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 - 20*c - 4. Let l(h) = h**2 - 4*h - 1. Suppose -2*m + 6*m + 2*v = 12, -10 = -5*v. Let p(r) = m*z(r) - 11*l(r). Calculate p(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)*d)**(3\/7))**(-4\/5)*(d**0)**(2\/149)\/(((d*d\/d**(-1))\/d)\/d*d**(1\/2)) assuming d is positive.\nAnswer: d**(-81\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 5*y**2 - 3*y**2 + (-2 + 1 - 5)*(13*y**2 - 99*y**2 - 65*y**2).\nAnswer: 909*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 5. Suppose -5*w + 3*w + 24 = 0. Calculate the remainder when d(-5) is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l - 8*l**5 - 7*l - 2*l**5 wrt l?\nAnswer: -200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03935 less than 62316137028?\nAnswer: 62316137027.96065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 - 79*w**2 - 23*w - 36. Give r(-26).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 453.2? (a) 2\/33 (b) 0.2 (c) -2 (d) -0.3 (e) -4 (f) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45.9 + -46. What is the fourth biggest value in m, 0.1, 0.3, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1905231 by -939.\nAnswer: 2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o*z**6 - 8*o*z**5 - 9*o*z**3 - 136*o*z**2 + 5*o*z wrt z?\nAnswer: 120*o*z**3 - 480*o*z**2 - 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, y: 1, w: 3}. Give prob of sequence sys.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2359691 and 0.3.\nAnswer: -0.07079073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 = -p, 4*b - 18 = -p + 4*p. Let m(w) = w**3 - 3*w**2 + w - 2. Let o be m(b). Find the first derivative of -o + 1 + 2*k**2 - 1 + 0 wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*o = -3*o + 1404, 1380 = -5*a - 5*o. Let i = -126 - a. Suppose 47 = 8*t - i. What is the remainder when 68 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 933464 divided by -233366\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 2:14 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -18006*m**3 - 42*m + 21. Let r(c) = 4502*c**3 + 10*c - 5. Give -5*d(j) - 21*r(j).\nAnswer: -4512*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let t(z) = -585*z**2. Give f(t(v)).\nAnswer: -585*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13046 - -17461. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01824 to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 342 and 252?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2535 (base 7) to base 15.\nAnswer: 43c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 26. Calculate the common denominator of -1 + 2 + 43\/9 and (k + (-26)\/14)*13.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 4:14 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (707\/(-35))\/((-3)\/15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2f99bb (base 16) to base 9.\nAnswer: 5774183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 793.115 (c) 4 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 8. Calculate the greatest common factor of d and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -82. Let m be 1\/1 + 4 + -2. Suppose y - 1117 = -3*s - h*y, -6 = m*y. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -2*v + 3*p, -v = 3*v - p - 128. Let g = v - 19. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = -4*h, 5*n = 71*h - 67*h + 27. Let o = -0.1 - -0.3. Put 1, 0.5, h, o in decreasing order.\nAnswer: h, 1, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*c**4 - 4213*c**2 - 36*c - 300976 wrt c?\nAnswer: -32*c**3 - 8426*c - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y - 1 + 55. Let q(h) = -h**3. Let z be q(0). What is the remainder when (52 - z) + y + -5 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 58*k - 387. Calculate the smallest common multiple of n(-35) and 342.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16314, -16297, -16280, -16263?\n\"Answer: 17*d - 16331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112100101 + -10?\nAnswer: 112100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -43\/31 (b) 23\/4 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 0 = -4*v. Suppose -3*f - f = v*k - 4, f + 4*k - 1 = 0. Let j be (-7)\/f + (0 - -2). Which is the second smallest value? (a) 0.5 (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -6\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 362314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12335 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 6 + 29 = 0, 2*j = -4*a + 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtt when three letters picked without replacement from {j: 1, q: 2, t: 6, i: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 1\/4 (c) 0.455 (d) -12 (e) 21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1620801 is divided by 1013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*a + 28 - 28 - 2*a in the form i*a + b and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15369.\nAnswer: 3, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*a*i**3*x**3 - 3*a*i*x**2 + 91*a*i - 4526*i**3 - 179*i*x**3 wrt i.\nAnswer: 72*a*i*x**3 - 27156*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52671663 (base 8) in base 4?\nAnswer: -222313032303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - (-91)\/14) + (-66)\/(-4). Let h be ((-16)\/3)\/(x\/54). Is h at most as big as -182\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0724 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2 - 2*z + 2. Let q be u(1). Calculate the greatest common factor of 36 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/138*(-18)\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1365 - 2356*x - 2385*x - 2563 - 100 - 487*x wrt x.\nAnswer: -5228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 5 = 4*p. Suppose 4*r + 5*z - p - 4 = 0, 0 = -2*z - 4. Suppose -107 = -r*g - 19. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 759.23.\nAnswer: 759.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*f + 2*f = -45, -31 = 4*c + 3*f. What is the tens digit of c\/12 + 86\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/52350 and 49\/15?\nAnswer: 52350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*m - 17. Let i = m + 4. What is the units digit of (-32)\/i - 4\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 80 = 3*o. Let a(j) = -7*j + 7. Let r be a(-4). Let k = r + o. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 224271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -641*h**2. Let m(n) = -n**2. What is t(m(d))?\nAnswer: -641*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3216)\/(-84))\/4 + -10.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*q - 1 + (27 - 28 - 33)*(1 - 7 + 2)*(-7 + 7 + 4*q) to the form h*q + v and give h.\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -238*o + 8. Let n(v) = -26*v + 2. Let q(m) = -l(m) + 3*n(m). Let z(d) = 2*d**2. Give z(q(u)).\nAnswer: 51200*u**2 - 1280*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 96*a**2 - 1020*a + 2942. What is y(-15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 12:15 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61576 is divided by 331?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**3 + 0*i + 0*i + (-i**3 + 0*i + 0*i)*(1 + 2 - 1) + 0*i**3 - 6*i**3 + 4*i**3)*(-3*i**2 + 2*i**2 - i**2).\nAnswer: 18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17116121*l*x**2 + 14*x**2 + 1543*x - 56 with respect to l.\nAnswer: 17116121*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1 + 2\/15*9). Suppose 0 = -3*o - x*b + 1314, 0*o + 3*o = 2*b + 1314. What are the prime factors of o?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.64 and 12?\nAnswer: 9.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5312\/839 at least 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d + i, -16 = -5*d - 3*i. Let p(t) = -t**3 + 3*t**2 - 12*t + 2. Let z be p(0). Suppose -3 = r + d*x, -z*r + 0*r = -x + 21. Is r < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**2 + 3 + 1 - 4.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*s**4 - 3464*s**3 - 83712*s**2 - 18432*s.\nAnswer: -4*s*(s + 48)**2*(9*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5784749\/5533 + 5\/11066. Let o = k + -14545\/14. What is the common denominator of 93\/2 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 o when three letters picked without replacement from xoxxpopxoooo.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 2*y - y**5 + (5*y**3 - 2*y**3 - 5*y**3)*(2 - 2 + y**2) - 2*y**5 + 2 - 2 + (1 + 2 - 2)*(-1683156*y**3 + 1683138*y**3 - 12*y**5 - 38*y**5).\nAnswer: -55*y**5 - 18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.26 + 11. Let s = -3.04 - -3. Let r = p + s. Which is the closest to 1? (a) r (b) 3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**4\/2 + 147*o**3\/2 + 6697*o**2\/2 + 94461*o\/2 - 50653 = 0.\nAnswer: -74, -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3707243 is divided by 2779?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3 + 34131*g**2 - 306709*g.\nAnswer: 6*g + 68262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 4*v**2 - 3*v**2 - v**2 + 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/3)*k**(2\/57)\/k*k\/k**(-1)*k*k\/(k\/k**(2\/85)) assuming k is positive.\nAnswer: k**(3514\/4845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 - (90405\/(-60) - 2\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*q + 358, -r = r - q - 138. Suppose 0 = 36*s - 8*s + 8904. Let c = 336 + s. What is the least common multiple of r and c?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-10)*(-5)\/(-1). Suppose -o = 3*o + s*q - 24, -5*o + 4*q = 15. Is 3\/22 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, h: 1, r: 5, g: 3, a: 1}. Give prob of sequence ahr.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 3*u**2. Let b be w(3). Suppose -2*j + 2*r + 86 = b, 5*j - 153 = 2*r + 59. Calculate the highest common factor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 14. What is the units digit of 1 + ((-2)\/11 - (-5088)\/x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmr when three letters picked without replacement from {h: 2, a: 5, m: 2, n: 2, r: 2}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14203 + -1?\nAnswer: -14204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 1 (b) 3 (c) 0.040955\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 660 and 65117790?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v - 3 + 24*v - 2 - 3*v. Let k be n(2). Suppose 6*i - i = -3*m + 105, i - k = -5*m. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y = -5*j + 30, 4*j = -y + 24. Let h(w) = -4*w + 4*w - 3*w - 2 + 4. Calculate the smallest common multiple of h(-6) and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10846632 is divided by 957?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 o, and 1 k when three letters picked without replacement from ookoookjk?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-79\nAnswer: -1.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/18 - 4\/9. Let i(w) = -w. Let a be i(-1). Let j be (-3)\/a*2\/3. Is j at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:39 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8810, 8727, 8464, 7919, 6990, 5575?\n\"Answer: -17*k**3 + 12*k**2 + 8815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(25)\/sqrt(5) - (sqrt(45)\/(sqrt(9) - sqrt(18)\/sqrt(2) - sqrt(9)) - sqrt(5))) + 5)**2.\nAnswer: 80*sqrt(5) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.0016179 milligrams?\nAnswer: 0.0000000016179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -1 - 4. Let y(k) = k + 13. Let n be y(20). Suppose 13*u - n = 2*u. Calculate the remainder when u is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9\/5)\/(i*i*i\/i**(3\/4)*i) assuming i is positive.\nAnswer: i**(-101\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1823376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6264)\/1392*(-10)\/(-9). Let k = -3.1 + 3. Which is the nearest to 3? (a) o (b) -3 (c) 0.3 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (219\/(-730))\/((-6)\/(-5))*-44?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4 + 4572*c**3 - 4569*c**2 - 9142*c = 0. Calculate c.\nAnswer: -1, 0, 2, 4571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, r: 3, a: 5}. Give prob of picking 3 r.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30204*w - 2796 = 29738*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 4*t - 45. Let i(g) = -67*g - 2. Calculate the remainder when i(-2) is divided by l(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-4)\/42*(8 + -7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n - 204 = -2*w, 484 = 5*w - 4*n. What is the greatest common divisor of w and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (-8)\/(-2) - 22. Let i = m - -63. What is the remainder when i is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(2\/4)\/(2\/(24\/(-6))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1012824 divided by -84402\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253 + 7535536\/(-32016) - (-1)\/29.\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105) - -1*sqrt(105))\/sqrt(3))\/(-2*sqrt(605)) + -4.\nAnswer: -4 - sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/2 - 30381*d**2\/2 - 2210760*d - 79867296.\nAnswer: 3*(d - 10271)*(d + 72)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - j = -0*j + 12, -v - 4*j = 13. Sort -7, -1\/5, v in decreasing order.\nAnswer: -1\/5, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-100))\/(((-3540)\/(-59))\/(-8100))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7562.879 nanograms in grams?\nAnswer: 0.000007562879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14*(-588)\/14*2\/12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 56. Suppose f + 1257 = 3*r, v*r - 5*r - 409 = -3*f. Calculate the greatest common divisor of 38 and r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r - 2707024 - 1607376 = 0. Round r to the nearest one thousand.\nAnswer: 216000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13887084 to the nearest one thousand.\nAnswer: 13887000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0145425377 rounded to five dps?\nAnswer: -0.01454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -13, 1, -0.02 in descending order.\nAnswer: 1, 1\/3, -0.02, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*o + 35. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (360\/16)\/(-45)*4\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1303286 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 433492 (base 10) in base 11?\nAnswer: 276764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5708 - -2.5708. Which is the second smallest value? (a) 5 (b) m (c) 4 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (730\/(-54))\/5 - -3. Let h = 1\/27 + j. Which is the biggest value? (a) h (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*u + 212, -15*j = -16*j + u + 43. Calculate the remainder when 50 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1418160811 to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 44762.07 from -0.10867.\nAnswer: -44762.17867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.643 take away 0.3?\nAnswer: -2.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**3 + 8790*u**2 - 3051160*u = 0. Calculate u.\nAnswer: 0, 476, 1282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 6*f**2 + 8*f + 43. Suppose 0*z - 180 = -5*z. Calculate the lowest common multiple of t(-5) and z.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08, -41\/83, 0.26, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/((l**(4\/9)*l*l)\/l)*l*l*l)\/(l**(-16)*l))\/(l**(2\/13)*l*l*l\/(l\/(l*l**16))*l*l*l) assuming l is positive.\nAnswer: l**(-304\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3084956*g + 3084889*g = 1809 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 1 (c) -0.4 (d) -18932\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 0*h + 1\/3*h**4 + 1\/21*h**7 + 0 - 4*h**2 - 1\/15*h**6 + 1\/3*h**3 - 1\/5*h**5. Factor t(w).\nAnswer: 2*(w - 1)**2*(w + 1)*(5*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -23. Suppose 0*f - n*f = 0. Let g = 3\/428 - 3457\/4708. Are f and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*t + 3*t - 5*t**3 + t**4 + 5*t**3 wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 a factor of 119626268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**4\/w)*w*w**(-11)*w**(-9)*w*w**(-10\/13) assuming w is positive.\nAnswer: w**(-270\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*m - 1 = 0, -1738 = 4*m - 1718 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1759278851 to the power of 1\/2, to the nearest integer?\nAnswer: 41944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 111*b - 112*b. Suppose b*w = 7*w + 30. What is the remainder when 42 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0144675093 + 232.6.\nAnswer: 232.6144675093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p + 19. Let g(r) be the first derivative of -40*r**3\/3 - 2286. Determine g(w(y)).\nAnswer: -640*y**2 - 6080*y - 14440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 - r**2 + 5*r + 3. Let l be f(-2). Suppose 4*y - 33 = l*m, 2*y - m - 11 = -y. Calculate the highest common divisor of 26 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8544 - 8530. Solve 4*c + 36 = -5*b, 3*c + 5*b + 18 + o = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -197.9613 - -198. Let v = m + -1.0387. Which is the second smallest value? (a) 8\/15 (b) 1\/8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 2*u = -26, -4*d - 10159 = -u - 10139 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.73813ug in kilograms?\nAnswer: 0.00000004473813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 5*t - 1 = -11, -4*y - t = 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + n + 57 = 0, 48 = 2*k + n - 5*n. Suppose t - 7*t + k = 0. Let p be 6\/t - 2 - -1. Which is the third biggest value? (a) -2\/7 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Let k be (1 - 2) + l*3\/4. Let g(j) = 4*j + 3*j**k - 11*j + 7*j. Let x(p) = -7*p. Calculate x(g(r)).\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8*q = -q. Suppose 4*p + 4 = -5*u - 0, q = -u. Let c(v) = 8*v**2 - 1. Give c(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3\/3 - 58420*g**2\/3 + 1516892*g\/3 - 9855404\/3.\nAnswer: 4*(g - 14579)*(g - 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -11. Let k(m) be the third derivative of -m**6\/120 - 7*m**5\/60 - 7*m**4\/24 - m**3\/6 - 25*m**2. What is the remainder when r is divided by k(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 0.2. Let f = -1.4 + z. Let y = -3.2 - f. Round y to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 113*v + 188. Let n(q) = 2. Let r(i) = -i + 7. Let j(a) = -7*n(a) + 2*r(a). Let l be j(v). What is the second biggest value in -1\/5, -2\/3, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (446560\/(-16800) - (-10)\/14) + 7\/((-105)\/2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 26 - 2*r**2 + 3*r**3 - r**4 - 18 to v*r + i*r**2 + t + w*r**3 + a*r**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2396793?\nAnswer: 3, 7, 19, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3322 + -5?\nAnswer: -3331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**3 + 3*n**3 - 10*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -0.3, -2, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -731 + 70*v**2 + 731 to the form n*v**2 + r*v + a and give n.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10903 - 2365945\/217. What is the closest to 0 in -2, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 228078495?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 - -103. Let h(n) = n**2 - 12*n + 39. Let r be h(k). Factor 29*p**r + 80*p**4 + 46*p**2 - 13*p**3 - 52*p - 8 - 118*p**2 - 5*p**5 + 41*p**5.\nAnswer: 4*(p - 1)*(p + 1)**3*(9*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 131*u - 364. Is 22 a factor of f(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1645 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 1. Let z be g(1). Let v be (-2)\/12*-2*(-165)\/176. Is v greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.25899 - 0.55899. Let t = 30.8 + -31. Let p = -8.19 + 0.19. What is the closest to p in -1, t, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 126681*i*p**3 - 7*i*p + 7044660*i + 19*p wrt p?\nAnswer: 380043*i*p**2 - 7*i + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, 8, -1, 5, 52, -14 in ascending order.\nAnswer: -14, -10, -2, -1, 5, 8, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5 - 1550*a**4 + 297974*a**3 + 907918*a**2 + 6224*a - 1210568 = 0 for a.\nAnswer: -2, 1, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*t**2 + 2901*t**3 - 2900*t**3 + 0*t**2 - t**4 to p*t**4 + z*t**3 + c*t**2 + d + u*t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.463*1327\nAnswer: 614.401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -353342, -706654, -1059942, -1413194, -1766398, -2119542?\nAnswer: -2472614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -36274*j**2\/3 - 36271*j\/3 + 1 = 0?\nAnswer: -1, 3\/36274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*n + 5)*(0 - 3*n**2 + 0) - 2*n + n + 4*n**3 + 2*n.\nAnswer: -2*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 39969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21607 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -123300 + 0?\nAnswer: -123300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -53*h**2 + 57*h**2 - 150*h**3 + 132*h**4 + 33 - 13*h**4 - 190*h**2 + 34*h**4 + 135*h + 15*h**5 = 0.\nAnswer: -11, -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246580793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 100100111011101101011010 (base 2) to base 9\nAnswer: 20185774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 202*p - 594156 - 135468. Calculate the greatest common factor of 24 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**2 + j**2 + 3*j**2 + (-6*j - 32 + 32)*(4 - 4 - j) + 2*j**2 - j**2 - 2*j**2 + (-j - j + j)*(-5*j - j + 4*j) to r + g*j**2 + k*j and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71*2.33686.\nAnswer: 165.91706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 28 + 0*k**2 - 5*k - 7*k - 3*k**2. Let r be a(-14). Suppose 5*o + 0 - 50 = 0. Solve j + 2*p + 7 = r, p + o = -4*j + 2*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -22983975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 0.4, -7\/2, 7 in increasing order.\nAnswer: -7\/2, -1\/7, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 5:20 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 4*c**2 + 381*c - 99. Differentiate j(a) with respect to a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6)*(-3 - -6). Let h = 1 + p. What is the second derivative of b**h - 46*b + 50*b + b**3 wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*i - 4*i + 4*i)*(0 + 5 - 3).\nAnswer: 6*i + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-35)\/(-25)) + (-114)\/(-85). Which is the third smallest value? (a) u (b) -4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/3)*t**(-15) assuming t is positive.\nAnswer: t**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -29*t**2 + 10*t - 70. Let l(r) = -33*r**2 + 12*r - 71. What is 6*g(f) - 5*l(f)?\nAnswer: -9*f**2 - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -312 - -316. What is the nearest to -2\/5 in -5, -1\/4, -1, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-84)\/20)\/(-3)*-5. Let p(h) = h**2 + 5*h - 12. Let u be p(n). Let w = 225 - u. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) -356\/3 (b) 10 (c) -0.02 (d) 3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 87 = -y, 4*c - 4*y - 121 = 59. Calculate the highest common factor of c and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u**2 - 672*u + 1335. What is l(-114)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5*3)\/((-276)\/(-40)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10658 divided by -73?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -221\/2297, -5, -1\/4, -4.\nAnswer: -5, -4, -1\/4, -221\/2297, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -3*b + 2*i, 1885*b + 46 = 1888*b - 5*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*j + 4*b - 2, 5*j + 5*b = 10. Let t(c) be the second derivative of c**4\/12 - c**3\/3 - c**2\/2 - 6*c. Let x be t(j). Is x at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*k = -t - 24, 0 = 3*k - 9. Calculate the lowest common multiple of 3 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*m = -2 - 10, -3*u + 12 = 4*m. Suppose f = -3*f - 4*x - u, -1 = 4*f + 3*x. Suppose -q - 3*q + 16 = 0. Solve -2 - q = -f*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 22402?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 2*f + 5*f)*(-4*f**4 + 6*f**4 - 4*f**4) + 23*f**2 + 4*f**5 - 23*f**2.\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**3 + 10*v**2 - 5*v - 6. Let c(j) = -22*j**3 - 50*j**2 + 24*j + 32. Let m(n) = 3*c(n) + 16*t(n). Factor m(g).\nAnswer: -2*g*(g - 4)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7393 is divided by 1228?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -990 (b) 0.041 (c) -102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 111*x**2 - 9*x + 23. Is s(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 8:33 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqxqqqslqqqqqq. What is prob of sequence lx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93783 is divided by 18756?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27\/(-2))\/(5\/(-10)). Suppose 3*i = -12 + r, -t + 5*i = 16. What is the greatest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**5\/9 + 68*v**4\/9 - 4*v**3\/9 - 68*v**2\/9 = 0. Calculate v.\nAnswer: -17, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 7:48 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4378*z - 824*z + 972*z to the form i + q*z and give q.\nAnswer: 4526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-6)*6\/(-10)*-98*(-62)\/10633.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 630215072 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, 15426, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 3*l + 32 = 0, 2*y - 3*l - 14 = 7*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 6*h - 9. Let v be c(8). Suppose -128 = 3*m - v*m. Suppose -k + 3*k = m. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-3))\/(-4) - (-784)\/(-294).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 + -0.24. Let b = 0.08 + i. Let c = 1411\/8 - 176. What is the closest to b in c, 4\/3, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**4\/4 - j**3 + j**2\/2 - 4*j + 1. Suppose 14 - 44 = 6*c. Is x(c) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -25, 355.\nAnswer: -25, -1, 5, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -193, -196, -199?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*b + 14, 2*b - 3*i - 17 = -2*b. What is the greatest common divisor of 95 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*m = 625751 - 626705 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-17225)\/(-106))\/25)\/(78\/192)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 11:40 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11239807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -135, -201, -267?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831.770784 rounded to 1 decimal place?\nAnswer: 1831.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60, 92, 154, 252, 392?\n\"Answer: o**3 + 9*o**2 - 2*o + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + 5*sqrt(19) + sqrt(19))*4 + -3)**2*1*4.\nAnswer: 2880*sqrt(19) + 1094436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 334, 4, -4 in ascending order.\nAnswer: -4, 1, 4, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -2. Let j = -4.9 - -5. Let d = -27 + 80\/3. What is the nearest to j in v, d, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17670271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 37082+69\nAnswer: 37151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14863 * 0.02757.\nAnswer: -409.77291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2*5*2)\/(-2). Let k = -7 + o. Solve -k*j + 10 = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8353\/24 - 348. Let c(g) be the second derivative of 0*g**3 - 3*g - 1\/40*g**5 + 0 - i*g**4 + 0*g**2. Factor c(y).\nAnswer: -y**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/40)\/(128\/(-40) + -3).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 18240*a + 108889. Determine r(-6).\nAnswer: -551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28178, -28218, -28284, -28376, -28494?\n\"Answer: -13*f**2 - f - 28164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 6*m = -10896. Let b = -775 - m. Is b 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 201191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 636*x**2 + 13*x - 14. What is the tens digit of i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 923, -0.4, 0, 3\/7, 0.4, 0.19, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 7*x = -3*x - 45, 4*x = 2*g + 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 5. Let i be o(-11). Let v(y) = -4*y + 63. Let x be v(i). Let f(z) = 2*z**2 + 8. Let t(p) = p**2 + 1. Give x*f(l) + 8*t(l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -560*o**3*r + 4*o**3 - o**2*r - 4*o**2 - o*r - 2*o - 83237 wrt o.\nAnswer: -3360*o*r + 24*o - 2*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + -1 + 2 - (-9)\/(-9). Is ((-68)\/16)\/((h + 6)\/(-444)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 times 42578?\nAnswer: -9367160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10100001010 (base 2) to base 14\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-25)*6)\/(50\/(-250)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11202201122020 (base 3) to base 2\nAnswer: 1001101010100101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5654 or 5709?\nAnswer: 5709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 547787 or 547786?\nAnswer: 547787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*i*k**3 + 141*i*k**2 - 321*i*k + 2626*i + 2*k**3 + 145*k**2 - 2*k wrt k.\nAnswer: -150*i*k + 282*i + 12*k + 290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 + 2. Let q = -3.92 + -0.08. Let w = -63 + 66. Which is the second biggest value? (a) q (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310055 to the power of 1\/2, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.36*58422\nAnswer: -21031.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/5*5\/2. Suppose f*o + 4*r = 6, -o = -3*o + 3*r + 6. Suppose c - 46 = -b - 7, -o*c + b = -137. Calculate the greatest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2964 + -977. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*6\/72)\/((-2)\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 0 + 0*o**2 + 2\/3*o**4 - 2*o - 1\/20*o**5 - 4\/3*o**3. What is the remainder when 71 is divided by v(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66929910455773.42399754 - 66929910995216. Let b = -539428.976 - n. Let r = b - 13.6. Round r to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488796 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/6 and 168\/52 - (-3)\/3.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w - 9*w + 14*w. Let z(y) = 2*y**2. Calculate p(z(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*g - 112*g - 63*g.\nAnswer: -289*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((27\/(-6))\/(-3)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(130)*-2 - sqrt(130))\/(-1*sqrt(640) - sqrt(10)).\nAnswer: 5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(242)*2*2.\nAnswer: 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -2 - -11 - 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d - 5, 4*d + 44 = -2*p. What is the common denominator of 3\/6 - 153\/p and 17\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (103\/(5665\/550))\/((-50)\/95)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 338911\/3 at least 112971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*u + 967 - 967)*(4 - 2 - 1) as v + z*u and give z.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 (base 6) in base 14?\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -1, -3, 209, -5.\nAnswer: -5, -3, -1, 22, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1.07. Let k = 0.33 + l. Let g be 2*(-3 + 2) + 96\/60. Which is the closest to g? (a) 0.3 (b) k (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 3)*(-1 + 0 - 1)*(c**3 + 2 - 2*c**3 - 3).\nAnswer: -4*c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/7 and -2332 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 5 - (21 - 10 - 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 15*v**2 + 2*v + 18. Let z = -60 - -57. What is the hundreds digit of q(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddudupppuddpdppded. What is prob of sequence dpd?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151 - -83. Which is greater: -67 or y?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1482 and 676020.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2385 is divided by 2375?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2504\/(-32) + 6552\/1248.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2622*z**4 - 1990*z**3 - 2*z**2 + z - 44745000 wrt z.\nAnswer: 31464*z**2 - 11940*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tccm when four letters picked without replacement from {t: 1, s: 1, m: 2, c: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 200544 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/192 and 7\/144.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, 398, 898, 1400?\nAnswer: 1904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-nine quarters of a kilogram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*1\/8*-2. Factor -n*k + 0 - 3\/2*k**3 + 3*k**2.\nAnswer: -3*k*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*s + 14 + 14*s + 25 + 8 - 38.\nAnswer: 56*s + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 666 and 103526?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1839016427?\nAnswer: 1839016427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 634110769 a multiple of 4419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298*-0.11256.\nAnswer: -33.54288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.21? (a) 0.17 (b) -2\/1247 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -181*o + 48. Is v(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -1902.507?\nAnswer: -1899.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-19 - 1 + 5)*(a + 0 + 0) + (0 + 2 - 3)*(4*a - 3*a - 3*a) + 3*a - 6*a + 4*a)*(3*a - 2*a - 3*a)*(-2*a**2 + a**2 + 0*a**2).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31849263 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 64 = 6*b - 2*v, 8 = b - 4*v. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w. Suppose 2061 - 502 = y. Let g(q) = -7*q**2 + 194*q + 66. Let n be g(28). Let k(j) = n*j**2 - y + 1559. What is f(k(i))?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327976 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 4*m + 15. Solve 0*q + 3*b + 4 = -5*q, 3*q = -5*b - m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 0, 2, 22, -4, 3 in decreasing order.\nAnswer: 22, 3, 2, 0, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1402*d + 22. What are the prime factors of c(-1)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.4 + -3.9. Let r = 10617 + -10612. What is the biggest value in p, 1, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*h**2 + 53*h**2 + 70*h**2 - 3*h**2 + 36*h**2.\nAnswer: 242*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -332*f - 41. Is s(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-2 + 3 - sqrt(288))**2 + sqrt(288).\nAnswer: -204*sqrt(2) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 41*g + 39. Let p be m(18). Suppose y + 74 - p = 0. Suppose -2*w - w + 551 = 4*t, -w = -5*t + y. List the prime factors of t.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9517047 years in millennia?\nAnswer: 0.0009517047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 2*i - n, 0 = -2*i + 2*n - 0*n + 64. Suppose 93 = 32*m + 6*m - 7*m. Let x be (2\/m)\/((-88)\/i). Which is the closest to 0? (a) -2 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*p - 99338 - 811658. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.9 - -2.1. What is the second biggest value in -0.1, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggzqz. Give prob of picking 2 g and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -113.7*4\nAnswer: -454.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from {c: 2, k: 3, y: 1, v: 1, f: 4, z: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-12))\/((-3)\/2259). Let d = 2005\/8 + p. Let q = 0.072 - -0.228. What is the third smallest value in q, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 41, 0, -19, 47, -5 in decreasing order.\nAnswer: 47, 41, 3, 2, 0, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, d: 4, s: 2, l: 1, n: 3}. What is prob of sequence ln?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7. Let y(k) = -k - 28. Let z(b) = 9*u(b) + 2*y(b). Let l be z(0). Let o(f) = 2*f - 9. What is the units digit of o(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 11 = 43*x - 40*x, -4*x - 20 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - (1*sqrt(112) + 0))**2 + (2 + sqrt(112))**2*4 + sqrt(112) + sqrt(112) + sqrt(112) + -2 + 1 + -4 + sqrt(112) + -2.\nAnswer: 80*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32382034 + 89966. What is w rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 19036*p**2 - 40098720*p - 17881353648.\nAnswer: 4*(p - 6427)*(p + 834)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000029665483 to 7 decimal places.\nAnswer: -0.0000297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-10)*(-5985)\/(-342)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25012421 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44 or 14?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2147 is divided by 179?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - t**2 + t. Let z(a) = -4*a**3 + 3*a**2 - 4*a. Suppose 2*o + o = 4*v + 18, -5*o = 10. Calculate v*b(c) - 2*z(c).\nAnswer: 2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 9 = 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {x: 1, t: 3, b: 4, q: 4, a: 4}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, j: 7, b: 4, l: 4, w: 4}. What is prob of picking 1 m, 1 j, 1 l, and 1 w?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0, -0.3, -1, 3\/95?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 147*z**3 - 4*z**2 + 19*z - 43. Let p be y(4). Round p to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 77, 79, 81, 83?\n\"Answer: 2*z + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*-8*(-14)\/((-2184)\/(-13))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 + (-37 - (16 + 40)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 332\/7 - (60\/42 - 1). Differentiate -22 + 58 + 33 + r*m**4 + 8*m**4 with respect to m.\nAnswer: 220*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**6 + 2*h**3*n**2 + h**2*n**2 - 46 wrt h.\nAnswer: -600*h**3 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - -42 - (5 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 17, -0.03, 6, 195, -1\/4 in descending order.\nAnswer: 195, 17, 6, -0.03, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9204 by -236.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**6\/3 - 2*n**5 + 9*n**4\/2 - 14*n**3\/3 + 2*n**2 + 1. Factor f(k).\nAnswer: 2*k*(k - 2)*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 + 8*z**2 - z**3 - 637*z**4 + 638*z**4 - 2*z - 5 - 2*z**3 + 48*z**2 to the form o*z + f*z**3 + l*z**4 + u + b*z**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Suppose i*b = -9 + 37. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/2, 296, 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r - 370 = -335 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*p - 31822 + 15886 = 0 for p.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003571073 to 6 decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.186 * 74\nAnswer: 13.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*s - 4*s + 606, 0 = 3*s - 4*h - 1754. Calculate the lowest common multiple of s and 177.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2 - l + 1. Suppose 5*t = -y - 14, -7*t - 15 = -3*t - 3*y. Let k(h) = -h**2 - h + 1. Give t*v(w) + 3*k(w).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -566888 or -566890?\nAnswer: -566890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/89)*n*n\/n**(1\/23))\/(n*n**29*n*n*n*(n**(-6\/7)\/n)\/n) assuming n is positive.\nAnswer: n**(-389231\/14329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*q**3*x**4 - 3667*q**3 - 276724*x**4 + 714*x wrt x?\nAnswer: -576*q**3*x**2 - 3320688*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 3 + 4)*(-24*h**2 + 24*h**2 - 3*h**3 + h).\nAnswer: -33*h**3 + 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + 1. Let f = 30 - o. Let j = 9 - f. What is j rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a minute in seconds?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + 2 + 2*o - 2*o**3 + o**3 - o as m*o**2 + h*o**3 + p*o + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*2*(-2)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2284285881 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: Convert -16134035 (base 8) to base 15.\nAnswer: -4d659e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((-7)\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/6 and (-15 - 822\/(-54))\/((-1024)\/(-218)).\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 21*c**2 + 6*c + 2. Let l(g) = 46*g**2 + 13*g + 5. Calculate -11*d(s) + 5*l(s).\nAnswer: -s**2 - s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1295*q**4 + q**3 - 2*q - 464 wrt q?\nAnswer: -15540*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/((556\/(-695))\/(200132\/(-10))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 405 - 2402. Which is smaller: t or -1995?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 7, n: 2}. Give prob of sequence nu.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(sqrt(220)\/sqrt(5)*5*1 - ((-4*sqrt(44))\/sqrt(4) + (sqrt(11) - (-2*sqrt(77))\/sqrt(7)))))**2.\nAnswer: 66550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - (2 + -3 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/10)*c\/c**(1\/10)*(c*c\/(c\/(c*c**(5\/3)))*c)\/c**39 assuming c is positive.\nAnswer: c**(-503\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 97 = 2*h - 2*d + 22 - 14, 16*d - 720 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/16928 and -53\/8.\nAnswer: 16928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 36\/220*(-6860)\/(-1029)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -0.5 (b) -5\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-628)\/11 - ((-119)\/(-6545))\/(((-24)\/(-30))\/(-4))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4487 (b) -1 (c) 3 (d) -0.1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60194.\nAnswer: 2, 30097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, d: 2, b: 3, a: 1}. Give prob of picking 2 d and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7575 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 6. Let v be c(-6). Suppose v*w + 20 = 5*w. What is the second derivative of -5*b + 3*b + 2*b**2 + w*b wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57165?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 3*l**3 + 2*l**3)*(-3 + 3 + 2) + (-l**2 + 3*l**2 - 3*l**2)*(4*l - l - 4*l).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687916 is divided by 687306?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.86547 decades in centuries?\nAnswer: 3.586547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1.9, 1\/5, -12, 0?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152126*m**2 - 248969*m wrt m.\nAnswer: 304252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 547016*d**4 - 2662312*d**2?\nAnswer: 13128384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**3 - 22*d**2 + 53*d + 38. What is the hundreds digit of i(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 - 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -4*p - 0*p. Let o = -641 + 640. Which is the second biggest value? (a) o (b) p (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2. Let i(r) = r**3 + 6*r**2 + 5*r + 2. Let u be i(-5). What is the remainder when x is divided by ((-1)\/3)\/(u\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 64*y**3 - 5*y**2 + 5*y + 6. Let j(v) = 63*v**3 - 6*v**2 + 6*v + 7. Let k(g) = 3*g**2 - 93*g + 258. Let q be k(3). Give q*n(s) - 5*j(s).\nAnswer: 69*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7196640 to the power of 1\/2, to the nearest integer?\nAnswer: 2683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9460 + 9459.95569. Round y to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 1:05 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7244 = 548*o + 536*o - 249*o + 20604 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162.5 + 162. Let r be 15\/((-1050)\/20) - 1\/7. Which is the closest to 2? (a) r (b) o (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2989853, -2989854, -2989855, -2989856, -2989857?\nAnswer: -2989858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-9) + 34\/9. Suppose -4*f + 0*u - 16 = -j*u, -5*f + 30 = 5*u. Is f at least 1\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -916*k - 38. What is the remainder when 2637 is divided by g(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -2, -63 in ascending order.\nAnswer: -63, -2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 526699 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**6\/30 - w**5\/5 + w**4\/6 + 2*w**3 + 14*w**2 + 41*w. Let b(l) be the first derivative of h(l). Factor b(t).\nAnswer: -4*(t - 1)*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7369*g + 107. Suppose -2*l - 10*l + 36 = 0. Let k be z(l). Round k to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 245603859.9955697 + -245603845. Let n = -0.0042063 - b. Let q = n - -15. Round q to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664740.\nAnswer: 2, 3, 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7484 by 7484.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1296*r = 1315*r - 2562*r + 2842 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, -1, 0 in decreasing order.\nAnswer: 81, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**5\/6 + 1165*g**4\/6 + 2395*g**3\/2 - 3485*g**2\/6 - 11920*g\/3 - 2390 = 0. What is g?\nAnswer: -6, -1, 2, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/63)\/(6\/(-396)*2)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(2 + 1 - 4)*(1230*l - 115 - 16 - 1232*l).\nAnswer: 4*l + 262","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 10858*z - 29474041\/2.\nAnswer: -(2*z - 5429)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 104. Let l = u - 21. What is the remainder when 82 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23, -81, -235, -533, -1023, -1753, -2771?\n\"Answer: -8*s**3 - 2*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-28)\/(-2))*(-65 + 68). Let b = -2 + 1. What is the second biggest value in 2, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u - 6. Let n(x) = x**3 - 15*x**2 - 21*x - 17. Let p(t) = -t**2. Let j(k) = -n(k) - 6*p(k). Let c be j(22). What is z(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1973, 1971, 1967, 1961, 1953?\n\"Answer: -v**2 + v + 1973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20928, -41815, -62702?\n\"Answer: -20887*x - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -326.9+-0.3\nAnswer: -327.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b)**(-22)*(b\/b**0)**7*b**7*b*((b**(-2)*b)\/b)\/b*b*(b*b**(-2\/3))**22 assuming b is positive.\nAnswer: b**(193\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g - 32*g = 440. Let c = g + 92. Solve 5*t + c = -4*a, 0*t - 2 = 2*a - 2*t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 4*r**2 + 16*r.\nAnswer: -2*r*(r - 4)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 23*r + 25. Let b be t(10). Let w(c) = 3*c. Let y(z) = -3*z. Determine b*w(n) - 6*y(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4348.287 hours?\nAnswer: 15653833.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - 22) + -16 + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70146 by -70146.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 511 + -511.000006974. What is j rounded to 7 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217273208 to the nearest integer?\nAnswer: 14740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 183*g + 166 - 166 to the form i*g + p and give i.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1603, 12475, 41991, 99475, 194251, 335643?\nAnswer: 532975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11318453 to 5 dps.\nAnswer: 0.11318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*z + 33, a - 5*z = 2*a - 12. Put a, 1, -2 in descending order.\nAnswer: a, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + j. Let t(q) = -7*q**2 - 6*q. Let p(k) = 6*c(k) + t(k). Let h(z) = -11*z. Calculate h(p(l)).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3.864184475 + -0.03\nAnswer: -3.894184475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268077 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14606 less than or equal to 14721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w + 4. Let u = -1 + 11. What is the remainder when 31 - (-2)\/(-3)*w is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f - 3*w + 23, f + 2*w - 7 = 0. Let l = f + -1. Sort -0.1, l, 11, 2\/3 in decreasing order.\nAnswer: 11, l, 2\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20, 202, 512, 956, 1540, 2270, 3152?\n\"Answer: r**3 + 58*r**2 + r - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 9:23 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 4 + 1176*c**2 - 12.\nAnswer: 1176*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.411 * 33.1\nAnswer: -13.6041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 25*v**2. Suppose -3*d + 2*i = -105 + 22, 5*i + 70 = 2*d. Let n be k(d). Solve -q + 2*x = n, 6*x - x = 5*q + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 678181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -5*c**5\/2 + 103*c**2\/2 + 14*c + 2. Find the first derivative of h(r) wrt r.\nAnswer: -150*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**3 - 16*a**2 + 2*a + 9. Let w(l) = -l**3 - 5*l**2 + l + 3. Let f(v) = 2*r(v) - 7*w(v). What is f(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3588 - -8532. List the prime factors of w.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -64, -86, -102, -112, -116?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71 - -2) + 348 + -325.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 2861?\nAnswer: 8\/2861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342383826, -342383827, -342383828, -342383829, -342383830?\nAnswer: -342383831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8474126 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**4\/12 - q**3\/3 - q**2 - q. Let c = -24 - -27. Let t be 24\/7 + c\/(-7). What is n(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 333 - 4*m**2 - 331 + 2*m**2 - 3*m**2 + m**2 - 9*m**2 + (0*m + m - 2*m)*(-2 + 2 + 2*m).\nAnswer: -15*m**2 - 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.03 + 0.9. Let l = 0.07 + t. Let j(n) = n**2 - 96*n - 1. Let k be j(96). Put l, 2, k in decreasing order.\nAnswer: l, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 2*a**4\/3 + a**3\/6 - 123*a**2\/2 - 4*a + 4. What is the first derivative of k(z) wrt z?\nAnswer: 16*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, -12861, -1\/3, 14.3, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73449688 or -73449689?\nAnswer: -73449689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 694707*-8\nAnswer: -5557656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1382 - 725 - 19*o - 1255.\nAnswer: -19*o - 598","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -617*b - 415*b - 482*b + 23*b + 175*b.\nAnswer: -1316*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a*b**5 - 4*a*b**3 - 18*a*b**2 + 26*a + 10*b**5 wrt b?\nAnswer: -240*a*b**2 - 24*a + 600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3028\/(-11355))\/(1\/3*-5)*20\/(-136).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x**2 - x + 2. Let k(o) = 7 - o**3 - 2 - 45*o**2 + 29*o**2 - 2 + 17*o. Let s be k(-17). What are the prime factors of p(s)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 2*m - 5*i, 3355*i - 10 = -4*m - m + 3351*i + 18 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a factor of 4593939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*s + 30, -3*s + a + 4 = -3*a. What are the prime factors of (-24)\/32 + 622\/s?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -7*p**3\/3 + 3099*p**2\/2 + 886*p - 3864. Factor a(w).\nAnswer: -(w - 443)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110 (base 2) in base 11?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + 11000?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 1. Let k = -24 + 19. Let m = k + v. What is the third biggest value in 4, m, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(1 + -2 + -1). Let p = 1 - j. Solve -y - x = p*x + 8, 0 = -y - x - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 92\/((-76)\/(-19)*1\/4). List the prime factors of (2 + 56)\/(8\/n).\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4bb49c + -1?\nAnswer: -4bb4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -g + 3*g. Suppose b - 7 = 5. What is the lowest common multiple of g and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*b, 3*i - 4*b - b = 148. Suppose 2*q - 1492 + 1262 = 0. What is the highest common divisor of q and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 1:20 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*w - 3*w. Is 9 a factor of (w - -3) + 1 + 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -834589 divided by -138.\nAnswer: 834589\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i**2 - i**2 + 0*i**2)*(29*i + 4*i - 7*i) - 9*i**3 + 17*i**3 - 16*i**3 as z*i**2 + c*i**3 + f*i + y and give c.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syf. Give prob of picking 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -16*s**3 + 20*s**2 - 6*s - 16. Let g(h) = -3*h**3 + 4*h**2 - h - 3. Suppose k + 26 = 5*z, -k - 2 = -3*z + 6*z. Let p(b) = k*g(b) + 2*n(b). Give p(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 1\/360*w**6 + w + 0*w**2 + 0 + 1\/24*w**4 + 1\/3*w**3 - 1\/30*w**5. Let g(l) be the second derivative of b(l). Calculate g(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2706, -2705, -2704, -2703, -2702?\n\"Answer: q - 2707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3200 and 512?\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-4))\/m*(m*m**(-7))\/m)**(-2\/9) assuming m is positive.\nAnswer: m**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 5*z + 4. Suppose 5*s + 55 = 5*q, -13 = -s + 5*q - 44. Let v be g(s). Suppose 6*y - 440 = 2*y. What is the greatest common factor of v and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7491022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -193 - -462. Suppose 5*u + o = 2*j, 0*u - 632 = -5*j - u. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1401991.0631 rounded to the nearest one thousand?\nAnswer: 1402000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 161 - 160 + 5*z**4 + 3*z**4 + (3*z - 3*z + z)*(z**3 + 0*z**3 - 2*z**3) to the form s*z**3 + o + y*z + q*z**2 + k*z**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 104 + -130 - 23 - -129\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 = -0*c. Is -2*(-3)\/(-2)*c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -147 and 3175071.\nAnswer: 3174924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49 - 51*t**2 + 49*t**2 + 7 to h*t + a*t**2 + n and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328*i = -4*y + 324*i - 360, 345 = -4*y + i. Which is smaller: -265\/3 or y?\nAnswer: -265\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -6 + 10. Suppose 0 = m*n - h - 20, 3*n - 3*h - 28 = n. Is n at most 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**3 - 10*o**2 + 4*o - 7. Let r = -2 + -3. Let m(y) = 2*y**3 - 7*y**2 + 3*y - 5. Determine r*h(f) + 7*m(f).\nAnswer: -f**3 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10527 + 19407 = -1667*p - 31745 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2810304 divided by 1632.\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 113006?\nAnswer: -113006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/20*(-1 - -3). Let y be (-1)\/(2 - 3\/9). Let r = -127\/8 - -16. What is the third smallest value in r, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-255)\/153)*195\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z + 4. Suppose -461*s + 161 + 255 = -409*s. What is the least common multiple of y(-5) and s?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -2. Suppose 75 = -z + 6*z. Suppose 4 = -3*g + g, 4*b - g - 14 = 0. Solve z = -d*q - 5*w, b*q - 2*w = -4*w - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 656480 and 1465890.\nAnswer: 3730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 5, -10, 226, 1 in ascending order.\nAnswer: -16, -10, 1, 5, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26716 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -30411331 (base 5) in base 6?\nAnswer: -5150500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*q - 2. Suppose 0 = 4*h - 5*m - 49, -h - 3*m - q - 6 = 0. Calculate the greatest common divisor of 4 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from {a: 7, n: 10, c: 1}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 5*x**2 + 5. Let i be d(5). Let f = 330 + -182. Suppose 3*n = i*l + f, -3*n - n + 5*l = -199. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-503272)\/6688*(15\/5)\/((-14)\/2)?\nAnswer: 129\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670035667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -7. Let j be (-26)\/(-34) + (-13 - h). Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 245 = -97. Let d be (-2)\/(-19) + 12\/c. Suppose d = -6*g - 6*g + 1632. Calculate the greatest common factor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 16551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 836*g + 2. Let u(z) = 279*z + 1. Let n(t) = -3*l(t) + 8*u(t). Is n(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 5*l + 4*a, -5*l + 7*a - 2*a = -190. Let d = 172 - l. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1dc037 (base 15) to base 14.\nAnswer: -29d508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 344 - 344 - 151*v to b + c*v and give c.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36648, -36604, -36564, -36528, -36496, -36468, -36444?\n\"Answer: -2*u**2 + 50*u - 36696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089486?\nAnswer: 2, 3, 60527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/69048 and 65\/22428.\nAnswer: 6145272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16275450.04 rounded to the nearest 100?\nAnswer: 16275500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -28. Let b be 2\/t + (-125729982)\/(-99). Round b to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 1 + 1)*(-2*u + 2*u - u) - 5*u - 21*u + 11*u)*(0 + 0 + 1) as v + w*u and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 622*v**2 - 138*v**2 + 21 - 3*v + 309*v**2 - 130*v**2 wrt v?\nAnswer: 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.29906 - -85.\nAnswer: 85.29906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1 (b) -2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 7:55 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + -5 + 4\/(-1))*(-89 + 0). Which is smaller: 78 or k?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 0*w - 1\/15*w**3 + 0 + 5*w**2 + 1\/40*w**4 - 1\/300*w**5. Factor g(s).\nAnswer: -(s - 2)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*k + 1 = -1, -14 = 4*l - k. Let p be (-43)\/(-2) - ((-15)\/10 - l). What is the highest common factor of p and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + b - 2*b + (-2 + 0 + 4)*(-5*b + 4*b - b) - b + 6*b - 3*b + (0 + 2*b + 0)*(5 - 2 - 2) + 2*b - 2*b + b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 5*l + 4. Let f(j) = -j**2 + 1. Suppose 0 = -3*u + 7*o - 4*o, 3 = -u + 4*o. Let v(k) = u*t(k) - 5*f(k). Is v(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424546 is divided by 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 821*j - 20*j - 2 - 34*j - 246*j + 1258*j.\nAnswer: 1779*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5590*n**3 + n**2 + 2*n + 30910 wrt n.\nAnswer: -16770*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65723.63 days to weeks.\nAnswer: 9389.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29744 and 2122516?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82402696289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*t - 0*t - 270, 0 = -5*t + 20. Suppose 260*s - b*s = -82. Does 26 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 14 + 2 = 0. Suppose 3*q + 11 = o*a, 0 = -5*q + 4 + 11. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 - 3*m + 1. Let b be k(-2). Is b at least as big as -1\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/15 + -11*4\/(-440))*0. Which is the third smallest value? (a) o (b) 2\/27 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.95 - 0.05. Let f = 272 - 274. Let r = -0.5 + 5.5. What is the second biggest value in f, d, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, u: 10, l: 4, o: 4}. What is prob of sequence golo?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -3. Let j(b) = 5*b**3 - 468 - 3*b - 505 + 979. Let v be 34\/10 - 6\/15. Let s(i) = i**3 - i + 1. Determine m*j(w) + v*s(w).\nAnswer: -2*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19037 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 + -74.99999864. What is y rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6152 in -5, -4\/3, 763?\nAnswer: 763","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 6*f**2 - f + 2. Let o(x) = 2*x**3 - 7*x**2 + 2*x - 3. Let s(y) = 3*d(y) + 2*o(y). What is s(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -30816?\nAnswer: -30815.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32875, -32813, -32779, -32773, -32795, -32845, -32923?\n\"Answer: -14*s**2 + 104*s - 32965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Suppose -3*v + 7 = q*j + 2, j + v - 3 = 0. Which is the closest to 1? (a) j (b) 0 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180783 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + (1 + sqrt(11))*3 + -3.\nAnswer: 1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*z = -56*z - 1855. Let n = z - -286. Solve 4 = 2*m + k, -m - n = -6*m + 3*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msmdscmcmmtcjsmc. What is prob of sequence jdm?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12 - 858\/99?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-315)*6 + 96\/(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*s - 817*s + 247*s + 270*s.\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -1\/43 (c) -3 (d) -5 (e) 12\/7 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 233, 35, 6, 4 in decreasing order.\nAnswer: 233, 35, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(4\/(-8) + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u*(u\/(u*u*u\/(u**(-2\/3)*u*u))*u)\/u*u))\/u*u)*u\/(u\/((u*u\/(u*u*u*u**5))\/u*u))*u*u)\/(u\/u**8*(u\/u**4)\/u) assuming u is positive.\nAnswer: u**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from {n: 1, l: 2, w: 1, y: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -16*v**2 - v. Let a(f) = -f**2 + f - 1. Calculate 2*a(i) + x(i).\nAnswer: -18*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3370?\nAnswer: 2, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**3*o**2 - 84*b**3 + 2*b**2*o**2 - 27*b*o**2 - 6*b wrt b.\nAnswer: 6*o**2 - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iastnixsntnn. Give prob of picking 1 n, 1 a, and 2 i.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 313, 4244, 15073, 36250, 71225, 123448, 196369, 293438?\n\"Answer: 575*m**3 - m**2 - 91*m - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**3\/6 - 2*d**2 + 5*d. Let c be m(-2). What is the remainder when 27 is divided by 9 - c\/(2\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193330649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3\/2 (b) 4 (c) 1\/6 (d) -381 (e) 1291\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7786818 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7633 - 7633 - 142*t)*(0 + 0 + 2)*(1 - 1 + 3)*(4 - 2 - 1).\nAnswer: -852*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*z = -12, p + 52*z - 3 = 47*z. Let c be 3*10\/(-60) - 59\/p. Solve g - 13 = -3*y, -g - g - c = -5*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:52 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*2)\/2 + (13 - 0). Suppose w = 5*f - f. Solve 0 = -2*u - 3*k + 1, -k - 12 = 3*u - f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935.245 kilometers in nanometers?\nAnswer: 1935245000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2169462.123 to the nearest ten thousand.\nAnswer: -2170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -19*o - 3. Let f be i(-5). Suppose -d - f = -5*d. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3609*l**2 - 12453*l wrt l.\nAnswer: 7218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 29. Let w(f) = 1281*f - 2*f**2 - 2475*f + 1194*f. Give h(w(i)).\nAnswer: 4*i**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**4 - 3*g**3 - 2*g**2 + 3. Let n(c) = c**4 + 3*c**3 + 2*c**2 - 2. Let z(w) = -2*k(w) - 3*n(w). Find p such that z(p) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, -12039040.\nAnswer: -12039040, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 30 = 5*b. Let t(i) = i**3 + 11*i**2 + 8*i - 6. What is the units digit of t(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -28\/5*g**3 - 2\/5*g**5 + 32\/5*g**2 - 18\/5*g + 4\/5 + 12\/5*g**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -3357600.\nAnswer: -7\/3357600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 0*q - 1\/120*q**5 + 0*q**3 - 3\/2*q**2 + 0*q**4 - 6. Let h(r) be the second derivative of i(r). Suppose h(k) = 0. What is k?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(8)*3)**2 + (sqrt(450)\/sqrt(9))\/sqrt(10) + -1.\nAnswer: sqrt(5) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f - 19*f = 32. Suppose 2*n = -f, 68 = 5*c + 4*n - 53. Solve 0 = -0*s - 5*s - c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 + 3\/4*j**4 - 9\/4*j**2 + 3\/2*j**3 - 3*j.\nAnswer: 3*(j - 1)**2*(j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 20*k + 1\/4*k**4 + 0 + 0*k**3 + 0*k**2. Let j(c) = -35*c + 81*c - 45*c. Calculate j(s(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110 + 13*a**2 - 215 + 8*a + 105 - a**4 to b*a**4 + t*a + k*a**2 + p*a**3 + m and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114*i**4*x - 281*i**3*x**2 - 1510243*x**2 with respect to i.\nAnswer: 456*i**3*x - 843*i**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10189, -10197, -10217, -10255, -10317, -10409, -10537?\n\"Answer: -m**3 - m - 10187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 525955 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1188) + sqrt(33))*3)\/(sqrt(6)\/(sqrt(2)*3 + sqrt(2))).\nAnswer: 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 791743389 is divided by 1964.\nAnswer: 1961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 393 - 394.832. Let q = -1.8 - c. Round q to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 12. Suppose 5*w + 0*w = 90. Let d be ((-99)\/w)\/(2\/(-4)). What is the greatest common divisor of u and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owgv when four letters picked without replacement from jjjrvgorjvwoj.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-1)\/(-3)) - (-8 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r + 36 + 27 - 70.\nAnswer: -26*r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -ac?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33888241, -67776484, -101664727, -135552970, -169441213?\n\"Answer: -33888243*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -5 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22435 (base 7) to base 16\nAnswer: -164e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 29. Let m(y) = -3*y - 1. Let b(n) = n. Determine j*m(f) + 4*b(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - a**3 - 2)*(2*a + 2*a - 3*a)*(81 + 9 + 198) in the form g*a + m*a**4 + w*a**3 + c + h*a**2 and give m.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3806 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3210222 (base 7) to base 13\nAnswer: 10812c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*j = 100*j + 8. Suppose 3*h - 4 = 4*v, -40 = 5*h + 5*v - 0. What is the second smallest value in j, -3\/2, h?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x + 1. Suppose 165 = x*v - 0*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/8 - 3)*2 + -1. What is the smallest value in z, -7\/10, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 6*r**2 + 13*r - 9. Let w be c(-9). List the prime factors of 2 + -2 - -4 - (4 - w).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/1911 + -1915\/3822. Which is the second smallest value? (a) s (b) 2\/11 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 8 - -2 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/(-8)*(-1 + -1). Suppose 5*m - 4*f = m + 4, -3*m + f = -u. Suppose 2*c + m*c = 10. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 3*h - h)*(-3 + 1 + 1) + (-4*h + h + 2*h)*(-6 - 9 - 6).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 45*h**3 + 129*h**2 + 48*h - 105. Let u(c) = 11*c**3 + 32*c**2 + 12*c - 26. Let n(g) = -2*r(g) + 9*u(g). Suppose n(p) = 0. Calculate p.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -12 + 5 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + sqrt(80)*-2.\nAnswer: -8*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 16117680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from wtsstllslssssws?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35496 = -7*r + 25404. What is r rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38306?\nAnswer: 2, 107, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide (1617\/15 + -1)\/(4\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 2191.\nAnswer: 10955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**4 + 396*b**3 - 2172*b**2 - 5548*b - 2976 = 0.\nAnswer: -1, 8, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49568014, -49568013, -49568012, -49568011?\nAnswer: -49568010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*n + 2*n - 22, z + 2*n = 7. Let t(d) = d**2 - 9*d + 12. Let w be t(8). Solve z*o = 5*y - 5, w*y = -o + 5*o - 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, q: 3, u: 6, j: 1}. What is prob of picking 1 j and 1 u?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 8*v**2 + 8*v - 6. Suppose m + 1 - 8 = 0. Give l(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/2080 and -105\/44.\nAnswer: 22880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s - s + 4*s)*(-3 + 0 + 1)*(25*s**3 - 29*s**3 + 18*s**3).\nAnswer: -252*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37804 and 107689056.\nAnswer: 2908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -105 (base 6) to base 2\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -135213081, -270426164, -405639247, -540852330?\n\"Answer: -135213083*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**3\/6 + 5*t**2\/2 - 2*t + 45. Calculate i(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*a + 138 = 0, 0 = 4*p + a - 227 + 24. Suppose -2*c + 40 = -0*c. What is the greatest common factor of c and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3780809774?\nAnswer: 2, 7, 1009, 267649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 871*p**2 - 2142*p**2 - 2098*p**2 + 1 in the form j + s*p**2 + q*p and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.18? (a) -3 (b) -2.462 (c) -0.3 (d) 0.5 (e) -1\/17 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {j: 9, w: 11}.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.4164mg in grams?\nAnswer: 0.2544164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, w: 2, i: 1, d: 3, b: 6, k: 1}. What is prob of picking 2 g and 2 d?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -207 - -207. Which is the nearest to 0? (a) t (b) -0.5 (c) 3 (d) -234\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 44*v**2 + 13*v - 23. Let n be w(3). Let k = n - 411. Which is the closest to -1\/4? (a) k (b) -0.16 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4\/33)*b)\/(b**(-49)*b))\/(b**20)**(-3\/8) assuming b is positive.\nAnswer: b**(3721\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.52596 and 482.\nAnswer: 1217.51272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 9956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -592 + 4387*u - 1501 + 266*u with respect to u.\nAnswer: 4653","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134.579 + 0.421. What is the closest to 1 in d, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 32*l**2 - 27*l - 83. Let b be j(31). Let -46*o**4 - 24*o - 4*o**2 + b*o**3 - 48*o**4 - 17*o**3 + 98*o**4 = 0. Calculate o.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9539559ml to litres.\nAnswer: 0.0009539559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13281397 and 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1577 + -0.3577. Which is the nearest to 4? (a) 1\/5 (b) x (c) -2\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**4 + 5042210*t + 3756470 with respect to t.\nAnswer: -4*t**3 + 5042210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -43875688463885?\nAnswer: 43875688463889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 35 + 20. Let a = t + 16. What is the third derivative of 3*g**2 + 6*g**5 - 2*g**a - 2*g**2 - 7*g**2 wrt g?\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/11))**(5\/3)*h**(6\/17)\/(h*(h\/(h**(-5)*h))\/h*h*h) assuming h is positive.\nAnswer: h**(-3899\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**4*p*p*p**(-2\/5)*p\/(p*p**(-1\/13)*p*p)*p**(-3)\/p*p*p**9*p*p**(-7)*p*p\/(p*p**(2\/13))*p**(-7)*p assuming p is positive.\nAnswer: p**(-96\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -12\/13 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b + b - 2*b)*(-3*b**2 + b**2 + b**2) + b**3 + b**3 - 3*b**3 + (1 + b - 1)*(-97 + 97 + 9*b**2) as n + u*b**3 + k*b**2 + h*b and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - 23*w - 13. Let j be v(8). Let n(r) = 2*r + 10. Give n(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/((-1617)\/(-14)))\/(41*(-2)\/(-14)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175.31781 months to centuries.\nAnswer: 0.146098175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o - 64. Let v = 45 - 27. Calculate the lowest common multiple of v and o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11510496 divided by -204?\nAnswer: 56424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2402144 + 1203?\nAnswer: 2403402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from fffjfffxfxfffxf?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 157*j*t*z**2 - 2*j*z**3 + 465*j*z**2 + 22*t*z**3 - 722*t*z - t + 2*z wrt j.\nAnswer: 157*t*z**2 - 2*z**3 + 465*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/1141857 and 61\/4572.\nAnswer: 4567428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 728*x**2 + 429130*x - 428400.\nAnswer: -2*(x - 315)*(x - 1)*(x + 680)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1562*i = 1558*i + 3*f + 2, -5*i = -2*f + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 6126318*h + 24505240.\nAnswer: 2*(h + 4)*(h + 3063155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 93479.49g in micrograms?\nAnswer: 93479490000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 371.8716 hours?\nAnswer: 15.49465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.4 (c) 1113 (d) 364 (e) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*k = 15. Let z(r) = r**3 - 4*r**2 - 3*r. What are the prime factors of z(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -954*n**4 + 20*n - 2*n**3 - 954*n**4 - 11*n**2 - 1 + 2857*n**4 + 5*n**3 - 948*n**4 in the form s*n**4 + u*n**2 + f*n + c*n**3 + k and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 6. Suppose 3 + m = 5*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 180 - 176. Suppose 3*v + 354 = 3*s + 6*v, -448 = -4*s + a*v. What is the remainder when s is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*n - 130 = -0*r, 0 = 4*n + 8. What is the remainder when 131 is divided by r\/(-8) + 3 + 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/2 - 40233555*j - 80467113\/2.\nAnswer: 3*(j - 26822371)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133060 and 13472325.\nAnswer: 53889300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 18. Let y = 14.3 - u. Sort y, -1, 2 in descending order.\nAnswer: 2, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**5\/20 + c**4\/12 + c**3\/6 + c. Let k(x) = -x**3 + 2*x**2 - 2*x + 3. Let z be k(2). Give s(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/7 - 37911*m\/7 + 43336.\nAnswer: -(m - 8)*(m + 37919)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1328038 is divided by 310.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -98.355411 to 2 decimal places.\nAnswer: -98.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.02066 times -56.8\nAnswer: -114.773488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 3 - 2 - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44161281.607 less than -10?\nAnswer: 44161271.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 961 + 32*n + 33*n + 970 - 66*n - 1931.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a - 105. List the prime factors of (-202)\/(-14) - 9\/a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:29 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 8:05 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/20*6\/(-14)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a tonne in kilograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -213404660 - -2?\nAnswer: -213404657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36170 + -179812\/5. Let f = -208 + s. What is the nearest to 0.1 in f, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-35))\/(1\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1317 = 5*n - 2*p, 5*n + 50*p - 49*p - 1299 = 0. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19455, -19452, -19455, -19470, -19503?\n\"Answer: -c**3 + 3*c**2 + c - 19458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c = 2. Let t be 2*c + (-99710)\/(-16). Let q = t + -6219. What is the common denominator of 2\/9 and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2. Let n(a) be the second derivative of a**3\/3 + 58*a. Determine v(n(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -2, -0.4, -5\/6, 2 in descending order.\nAnswer: 2, 0.04, -0.4, -5\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (-1*sqrt(2736) - sqrt(2736) - sqrt(2736))**2 + (-2 + sqrt(2736))**2 + -5).\nAnswer: -240*sqrt(19) + 136775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 270 + -430. Let j be n\/(-96) - ((-1)\/3 + 1). What is the remainder when j\/(-2) - 6\/((-60)\/625) is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z = -20 - 103 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 26*l - 62. Is z(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 149\/6 + 1\/6. Let g(j) = 2*j**2 + 5*j - 224. Let i be g(-12). Solve -4*k = t - l, 5*k + 0*k = -i*t + 45 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88923520 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20571183?\nAnswer: 3, 151, 15137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**3 + 449*l**2 - 320*l + 3275. Calculate z(149).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (735\/(-84))\/(9\/36)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -140, 0.6, -5.5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*m - 17*m + 1190 = 0. Sort -3, m, 3\/7, -4\/7, 2 in decreasing order.\nAnswer: 2, 3\/7, -4\/7, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.049 - -0.049. Which is the third smallest value? (a) w (b) 0 (c) -3\/8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.069 months in years?\nAnswer: 0.25575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/9 and -2\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40155 + 43387. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*v**2 - 28*v**2 - 240*v**2 - 342*v**2 + 157*v**2.\nAnswer: -605*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2535754*c**3*y**2 + 156*c**2 - 185*c*y**2 wrt c.\nAnswer: 15214524*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 3)*(13*a**2 + 16*a**2 + 20*a**2)*((5 - 2 - 1)*(a + a + 0*a) - a + 0*a + 4*a).\nAnswer: -2401*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + v = 9*p - 71, 5*p - 2*v + 122 = 0. Let o(t) = -9*t - 221. Give o(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 18771.\nAnswer: -187710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (274\/(-7))\/((-524)\/1834). Sort -2, 0.2, u, 2 in descending order.\nAnswer: u, 2, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2016\/168*6\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2771 is divided by (76\/399 + (-2)\/(-3))*14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, -2, 5\/11, -0.13, -9\/7?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018054 to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106765275.\nAnswer: 3, 5, 19, 74923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -2, 4 in ascending order.\nAnswer: -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2004 and 1002.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007223 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 66740 = 12658. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104984 divided by -13123.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2)*-10 + 5. Suppose 4*r - 4566 = m*r. What is r rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g + 8 = 0. What is the common denominator of -89\/2 and -2 - 79\/g - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-2 + -1) - 1. Let g be 9\/5 + w\/10. Let a = -44 - -47. Solve -g*q - a*q = 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-6 - 1) + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3518*v + 36 = -3530*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1215 - 5939 - 2900)*(-2*k**2 - 2*k**2 + 2*k**2) to w*k + o + s*k**2 and give s.\nAnswer: 15248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1068785*b**2 - 4*b + 534375*b**2 + 534394*b**2.\nAnswer: -16*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 94 + -101 - ((-1 - 11) + -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157744*p**2*x**3 + 123*p**2 - 63*p*x**2 + x**2 wrt x.\nAnswer: -946464*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 10:16 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 37, -35, 43 in descending order.\nAnswer: 43, 37, 9, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6 - (-82982)\/6. Let l = p - 4357. Let x = 75691\/8 - l. Calculate the common denominator of -149\/12 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4716 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -4\/89 = -0.1137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3891780\/13 or 299369?\nAnswer: 3891780\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/x**(-8)*x**(-12) assuming x is positive.\nAnswer: x**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 10:47 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 17. What is the second biggest value in j, 1\/4, -5, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbbtttttt. What is prob of picking 2 t?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15525 = 59*o + 589*o - 27*o for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4490.4 + 4490. Which is the third biggest value? (a) -42\/11 (b) h (c) -0.1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.166 + -18.4. Let v = 0.234278 + o. Round v to five decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 12 + 90 + (-2 - 3 + 3)*(5 + 0 - 3))*(0*g - g - g) in the form o + u*g and give u.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.51664543 - 34.\nAnswer: -37.51664543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, 127, 502, 1239, 2458?\n\"Answer: 20*a**3 + a**2 - 10*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-583)\/(-33) + 4\/(-2). Let i = g - 15. Suppose 2\/3*v**3 + i*v + 4\/3*v**2 + 0 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*0.2118938.\nAnswer: 1.4832566","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 610*u**2. Let j(r) = -15*r**2 - 9. Let s(o) = -7*o**2 - 4. Let q(h) = 4*j(h) - 9*s(h). Give x(q(w)).\nAnswer: 5490*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**3*i**(5\/2)*(i*i**(-2\/11))**19 assuming i is positive.\nAnswer: i**(463\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 43, 2\/7, -0.5, -3, -5.\nAnswer: -5, -3, -0.5, 2\/7, 11, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -364.8 to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1536)\/(-960)*(-3 - -1123)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130\/423 - -4\/47. Let k be 1\/(-4) + (-15)\/(-20). Suppose m = 6*m. What is the biggest value in p, m, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17, 84, 187, 320, 477, 652, 839, 1032?\n\"Answer: -d**3 + 24*d**2 + 2*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -92 (b) -5 (c) 2 (d) 0.07 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*a**3 + 7*a**3 - 1 + 4*a**3 - 8*a to the form q*a**3 + u*a**2 + h + t*a and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 418572 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 44470 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x - 139060 + 518968 = -591195. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -3)\/(15\/10). Suppose -h*y = -470 - 366. Suppose y = 5*s - 4*o, -6*s - 2*o = -s - 406. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*r + 17, 3*r - 193 = -205. Solve 44 = -b*t - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 33 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 915276737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-731374)\/(-15365))\/(308\/(-20)).\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -0.0396073504?\nAnswer: 3.0396073504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/384 and -35\/4028.\nAnswer: 386688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/16 or -1245?\nAnswer: -1245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5713 less than -22?\nAnswer: -5735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) -0.4 (c) 5 (d) -55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 35 = 160. Calculate the greatest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 314563 + -2?\nAnswer: 314561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1409996560?\nAnswer: 2, 5, 7, 31, 41, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -439*o**3 - 109*o**2 - 330*o - 1. Let t(k) = 88*k**3 + 21*k**2 + 66*k. Let w(i) = -2*n(i) - 11*t(i). Find the second derivative of w(g) wrt g.\nAnswer: -540*g - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 466675449 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-1)\/((-4)\/(-40)). Suppose -5*g = 5*d - 20, -2*d + 5*d - a = -2*g. Suppose -6 - 9 = -d*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.6 - -1.4. Which is the smallest value? (a) z (b) -5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (5 + -2 + 5 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -202244, -202250, -202260, -202274, -202292, -202314, -202340?\n\"Answer: -2*y**2 - 202242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -93?\nAnswer: -5\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-91640*v**3 - 2*v**2 + v**2 - 1 + 91639*v**3 - 1062*v)*(2 + 2 - 3) to the form h*v**3 + i*v**2 + g*v + a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.5532635mg?\nAnswer: 0.0000005532635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 12*k**5\/5 + 4*k + 7. Differentiate b(l) with respect to l.\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -1. Let o be (4\/x)\/(1\/3). Let f be (-2)\/(-2) - (0 + o). Which is the third smallest value? (a) -2 (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + -4*(sqrt(66) + sqrt(66)*2 - sqrt(66)))\/((sqrt(216) - (sqrt(216) + -5*sqrt(216))) + sqrt(6)).\nAnswer: -7*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 935 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4204.\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 4*h**2 + 0*h**2)*(0 + 2 - 6) + 6588*h**2 - 6597*h**2 + 1 - 18 + 2*h**2 - 3*h**2 - h**2.\nAnswer: -19*h**2 - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/4))\/c**(-3) assuming c is positive.\nAnswer: c**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1580 and 110.\nAnswer: 17380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-56)\/80)\/((-14)\/5))\/((-3)\/(-4)). Let b = -5 + 5.1. What is the closest to -0.2 in b, 22, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 24. Let z = 4 - y. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o + 231 - 91 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Let z(p) = -12*p**2 - m*p + p + 3*p. Let s(r) = -4*r**2 - 10*r + 10. Let n(d) = 12*d**2 + 32*d - 32. Let u(y) = 5*n(y) + 16*s(y). Give u(z(b)).\nAnswer: -576*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**5\/9 - 16*b**4\/3 + 176*b**3\/9 - 56*b**2\/3 - 20*b + 24 = 0.\nAnswer: -1, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 883728880 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.37 and 427.\nAnswer: -157.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebdreneee. What is prob of picking 1 e and 1 r?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 i when three letters picked without replacement from {i: 1, q: 3, t: 2, h: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1248 and 52551096.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109.36 + -109.23333. What is a rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-255)\/17)\/45)\/((-1)\/(-27)) - -36598 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -2\/73 (c) -2\/3 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 934*c + 940. Determine f(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1725*g**2*k*n**2 - g**2*k - 5*g*n**2 - 3*k*n**2 + k*n - 37*k wrt g.\nAnswer: -3450*k*n**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22339953749 to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-14)*(-2)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1447, -1620, -2037, -2710, -3651, -4872, -6385?\nAnswer: -8202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2175 divided by 6\nAnswer: 725\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-10))\/((-4)\/(-40)). Let c be 2\/(n\/(-2)) + 22. What is the smallest common multiple of 20 and (-6)\/c + (-176)\/(-28)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3 - 1532*i**2 + 2148960*i = 0.\nAnswer: -2420, 0, 888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 + 60. Suppose g*y + 2*f - 891992 = 0, -f - 263666 = -5*y + 851338. Round y to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 6181188?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 0*x + x)*(5*x - 50 + 214 - 51)*(0*x - x**2 + 0*x) as d*x + m*x**2 + u*x**4 + q*x**3 + a and give q.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148338 or 6081814\/41?\nAnswer: 6081814\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1142144034 + 2?\nAnswer: 1142144041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 20 = k. Let o be k\/6*3 - -36. Let d = o - 32. Put d, -3\/5, 0.4 in increasing order.\nAnswer: -3\/5, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84916.\nAnswer: 2, 13, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 10124*m**2 - 26795524*m + 5861607360.\nAnswer: -(m - 4942)**2*(m - 240)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 3*a**2 - 4*a + 3. Let m be g(-4). Solve 0*l - 12 = -m*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41032, 82077, 123136, 164215, 205320?\nAnswer: 246457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 13, 7.\nAnswer: -9, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = h - 30, 2*o = -0*h + 3*h - 129. Suppose -4*w = -9*w + 225. Suppose 5*y + 0*y - w = 0. Calculate the greatest common divisor of h and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 1509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -8268882?\nAnswer: 8268878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/23 - 158*l - 21732\/23.\nAnswer: -2*(l + 6)*(l + 1811)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r**4 + r**3 - 25*r*s + 5*s - 2 wrt r?\nAnswer: 4*r**3 + 3*r**2 - 25*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 87 = 5*f. Solve 14 + 0 = -2*h + 2*c, 2*c - f = 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3 + sqrt(176) + 1)**2.\nAnswer: 72*sqrt(11) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*k + 17*k + 16*k + 510 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6 - 4*d - 6*d + 3*d. Let t(c) = -20*c + 17. Let g(w) = 17*q(w) - 6*t(w). Let k(s) = 4*s. What is k(g(v))?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 94*c**3 + 499*c**2\/2 - c - 1144. Find the second derivative of w(h) wrt h.\nAnswer: 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 11939 = v - 7*n, 0 = 3*v - 4*n - 35785. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + 67. Let h = -2\/21953 - 21949\/43906. Which is the second smallest value? (a) j (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1608198 is divided by 759?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2031 + -414?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186958*r**2 - 374154*r**2 + 4*r - 4*r + 187095*r**2.\nAnswer: -101*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -97*j**5\/20 + 11*j**4\/3 - 37*j. What is the third derivative of p(f) wrt f?\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 = 46*y + 79. Let o be (-1)\/(-3) + 4967\/y. What is the greatest common factor of 69 and o?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*n + 27072. Let z = 60985\/9 + n. Find the common denominator of z and 139\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d + 192 = 6*d. Let h be d\/(-3)*135\/18. What is the highest common divisor of 465 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, m: 3, i: 4, h: 4}. What is prob of sequence hzhi?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 12, 0.4, -6, -4\/9 in increasing order.\nAnswer: -6, -0.5, -4\/9, 0.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9179, -18286, -27395, -36506, -45619?\n\"Answer: -y**2 - 9104*y - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2956031, 2, -3 in increasing order.\nAnswer: -2956031, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -122*h + 2. Let l be p(-2). Suppose -1909 = -3*j - 2*n, -2*j + l = 3*n - 1030. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 2*d. Let j(m) = m**2 - 1. Let s(t) = 2*t**2 - 9*t - 13. Let i(g) = 3*j(g) - s(g). Let f be i(-7). Calculate w(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -15. Let v(l) = -l**2 - 5*l - 6. Let o be v(-4). Let f = j - o. Solve f = -2*w + 13 - 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -34*x - 2. Let n(f) = 279*f + 19. Let j(z) = 6*d(z) + n(z). Let o(l) = -l**2. Determine j(o(p)).\nAnswer: -75*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*i**2\/11 + 7806*i\/11 + 2604\/11 = 0. What is i?\nAnswer: -1\/3, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 85096, 170193, 255290, 340387, 425484, 510581?\n\"Answer: 85097*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -16*u**3 + 29*u**2 - 5*u + 34. Let k(l) = 3*l**3 - 6*l**2 + l - 7. Let z(t) = -2*c(t) - 11*k(t). Let v be z(8). Is 2\/13 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 6 = -74. Put 2, w, -1 in ascending order.\nAnswer: -1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13970\/21 + 3967\/6. Find the common denominator of g and 49\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6299651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 - 10?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (8 - (14 + 13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2185 and 3335?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -6*o + 4. List the prime factors of o\/4 - (-111)\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2593 + 0?\nAnswer: 2593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -3. Let h = -1036.2 - -1025.2. What is the nearest to -2 in -1\/3, f, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31\/14 - 26\/7. What is the biggest value in -2, -21, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 4 + 0 + 1. Suppose 4*y - 5*y + 3*p + u = 0, -2*y - p = -15. Suppose -3*h = -y*h. Solve x = -f - h*x + 10, 0 = -f + 4*x - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**2 - 3252*y**2 - 1352*y**2 - 1373*y**2.\nAnswer: -5990*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 791 + 618. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 l, and 1 f when three letters picked without replacement from rflrhhhhrmfrlhlhfhh.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -37*c - 160. Let t be u(-5). Solve -t*o - 272 = -93*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.1+6\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*l - 22 = 4*z + 83*l, -3*l + 6 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/5 - 47\/35. Which is the third smallest value? (a) -0.2 (b) -3 (c) g (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5955279 litres in millilitres?\nAnswer: 595.5279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 29 = 2*i, 41 - 11 = -2*i - 4*x. Let p = -8 - i. Let u(w) = -w**3 - 9*w**2 - 11*w. Calculate the remainder when u(-8) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, and 2 q when four letters picked without replacement from mrqlllqlqqlq?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -965*q - 77360 + 77360 as x + m*q and give m.\nAnswer: -965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -509*h + 473*h - 31539600 = 0. What is h rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*u - 23306, -15*r = -12*r + 3*u - 34977. What are the prime factors of r?\nAnswer: 107, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34431033 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -27*f - 3247. Let g = f + 198. Solve g*w - 5*w + 6 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 41261.\nAnswer: 2\/41261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1000101101110000 (base 2) to base 9\nAnswer: 53862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 7. Let k = 0.24 + -0.25. Let o = 4.01 + k. Which is the nearest to -0.2? (a) -3\/4 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 2:08 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3179310725 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -c - 21, 0*h - 5*h + 16 = 4*c. Let f = c - -6. Suppose 0 = -f*r + n + 140, -n + 13 = 5*r - 127. Solve -5*i + 24 = q, -3*q = -6*q + 5*i - r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.4, -0.234?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/7)\/b**(-5)*b\/(b*b**(-4\/5)*b)*b*b**(-8) assuming b is positive.\nAnswer: b**(-87\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*q = 2*c - 208*q - 2, 0 = -7*c + q + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 4, -5.83, 7, -1\/3.\nAnswer: -93, -5.83, -1\/3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32841007.\nAnswer: 32841007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {a: 8, k: 11, l: 1}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.9, 4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 - 2*m**2 - 2*m + 1. Let j be (-5 + 3)\/(2\/(-16)). Let n be j\/(-7) - (-58)\/203. Determine p(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -19*95*168\/(-140)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102200 divided by -210220?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13953.55 decades?\nAnswer: 1395.355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**2 + h**2 - 23155 + 23155 - 12*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.15 + -2.05. Let p = b + 2.1. Let n = 0.3 + -0.2. What is the closest to p in 2, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122115891*r**2 - 326754938.\nAnswer: 244231782*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.419 (b) -0.5 (c) 21.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -86. Suppose 3*n = -2*z - y*n + 285, 2*z - 306 = 4*n. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 17*u - 469. What is the remainder when b(41) is divided by 40?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (3*sqrt(2) - sqrt(2)) + 2 + 0.\nAnswer: 2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.54 + -94068673620.\nAnswer: -94068673619.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o = -12*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/5*(-2)\/(-6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*a + 130 = -46*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 920752679*q - 81 - 9*q**3 + 2*q**3 - 920752679*q.\nAnswer: -7*q**3 - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -215*u + 213*u - 11*n, 5*u - 3*n = 261. Solve 7*i - u*i = -220 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.385858 rounded to 2 decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1392*y + 593. Is q(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 + 0*o**4 + 2*o**4 + (-3*o**2 + 2*o**2 - o**2)*(-o**2 - 3 + 3) + 5*o**4 - o**4 - 2*o**4 - 9*o**4 + 7*o**4 - 3*o**3 + 2*o**3.\nAnswer: 3*o**4 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 13 + 3. Let s(a) = 2*a. Let p be s(1). Suppose -3*c = 9, -x = 2*c + 2 + p. What is the highest common factor of x and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 3:22 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/3 - 3352*c**3\/3 - 935207*c**2 + 1874886*c.\nAnswer: -c*(c - 2)*(c + 1677)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*a - 75 = 0, 3*x - 3*a + 219 = -0*x. Let c = x - -75. Solve -4*o = -8 - c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8) - ((-20)\/(-15))\/(-4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -3*r**4\/20 - 7*r**3\/5 - 33*r**2\/10 - 3*r + 32. What is o in a(o) = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2)*a)**(-4\/9)*((a*(a**(-2\/17)\/a)\/a)\/a*a)**9)**(-9) assuming a is positive.\nAnswer: a**(1641\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 1\/3, -35?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -0.4 (c) 3 (d) -5 (e) 12\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 6.6584, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33, 2, 67, 168, 311, 502, 747?\n\"Answer: n**3 + 9*n**2 + n - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 14. Let v(r) = -r - 1. Let o be v(-1). Determine w(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4667477773.\nAnswer: 7, 109, 821, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2273 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 188 and 58797.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011101111011010110001 - 0?\nAnswer: 1010011101111011010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 83163.31ml in litres?\nAnswer: 83.16331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*k + p + 16, -1 = -p. Suppose 0*m + k*m = 15. Suppose m*j - 189991 = 3*w, -5*j + j + w + 151997 = 0. Round j to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1, -2\/5, 2\/3, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438\/15099*(4\/24)\/(10\/(-18))?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vllllvllllvlll. Give prob of picking 2 v and 2 l.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 2*i + 3. Let p(t) = 3*t**2 + 6*t - 9. Suppose -2*m + 5*a - 39 = 0, -m = -4*a - 85 + 106. What is m*w(g) - 6*p(g)?\nAnswer: -g**2 - 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = 2*j - 7*j, -3*u - 2*j + 34 = 0. Suppose 4*l - 84 = -4*n, -2*n + 9 = 5*l - 18. Let o(d) = -u*d - 18*d + n*d. Let h(c) = -5*c. Give h(o(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110101101101111011 (base 2) to base 5.\nAnswer: -110412141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*a**2 + 1317*a**2 + 1 + 17*a - 17*a - 431*a**2 - 436*a**2.\nAnswer: 13*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - h + h)*(-2*h - 2*h + h)*(3 + 2 - 4).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**5\/60 + z**4\/6 + 2*z**3\/3 + 2*z**2. Let w be v(4). Solve o - 7 = w*r, 3*r - 5*o + 2*o = -3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/13396 and -83\/174148?\nAnswer: 174148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 8*m + 9. Let y = 484 + -456. What is the remainder when y is divided by n(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.041141 centuries to years.\nAnswer: 704.1141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 + (4 - 2) - ((168 - 232) + (57 - 1))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2610 and 36496935.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 385512?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6\/21)\/(-7 - -5)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -196, -195, -194, -193, -192?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -41, -80, 31 in increasing order.\nAnswer: -80, -41, -5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -71 (b) 62.2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven quarters of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 + 22*o - 15. Let c be v(10). Let w(k) = -8*k**2 + 0*k + c*k - 3*k + 21 - 23. Give w(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -196.27737 + 193.777. Let u = v - -2.5. Round u to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c - 2. What is u(6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/3 (b) 1\/5 (c) -3 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 2*m**3 - 1 + 0*m - m + 0*m**3 + m**2. Let u be y(-2). What is the lowest common multiple of u\/13 + 16\/(-104) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 942 - 945 + 2831 - 944.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s - 136. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 2 + 38*k**2 + 5*k**2)*(4*k**2 - 3*k**2 - 3*k**2).\nAnswer: -90*k**4 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, 9, 20, 35, 54?\n\"Answer: 2*r**2 + r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2\/7, 0, -2\/19, 1\/5, 11034?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.907 and 22.\nAnswer: 107.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 3*v**2 + 20*v + 19. What is the units digit of m(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-15)*x)\/(x**(-2\/35)\/x)*x**(-28)*x**22\/x)**(2\/3) assuming x is positive.\nAnswer: x**(-1396\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 655966\/382655 + 2\/54665. Solve -a*z + 3\/7 + 15\/7*z**2 - 6\/7*z**3 = 0 for z.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 - 3*o**3 - 7*o**3.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 209.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-2)\/33 + 210\/55. Suppose -5*w + k*w + 19538 = 5*v, -5*v = 2*w - 19541. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 10:40 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4152 by -1384.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r + 3. Let b(f) = -11 + 3*f + 4*f + 4. Let m(v) = -2*b(v) - 5*z(v). Let s be m(2). What is the highest common factor of 3 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 89*p**2 + 170*p - 25. Calculate d(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**2 - 5*c + 6. Let b(t) = t**2 + t. Let h(a) = 4*b(a) + r(a). Let s be h(-3). Is 2\/127 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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: Calculate the greatest common factor of 5269509 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 916785 + -916827.9989. Let o = 44.8 + -1.8. Let x = g + o. What is x rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 848 and 137.\nAnswer: 116176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15294, -24892, -34496, -44106, -53722, -63344?\n\"Answer: -3*a**2 - 9589*a - 5702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 482444 + -28 - 24\/(-4) - 18\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302356 is divided by 1154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/2 of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 56758*d - 805367641.\nAnswer: -(d + 28379)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 383485.216 rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 517.978 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1000)*-2 - sqrt(1000))\/sqrt(2))\/(sqrt(250)*1 - sqrt(250) - ((-1*sqrt(50))\/sqrt(5) - sqrt(10))) + 0.\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 168*o + 3607. What is p(-145)?\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a - 4*w - 192 = -47*a, -4*a = w - 819. What is the remainder when 3059 is divided by a?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*n**2 + 67*n**2 + 36 - 213*n**2 + 58*n**2 in the form h*n**2 + l*n + g and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1316*a**3 + 114807*a**2 + 157*a**3 - 114807*a**2 + 1320 wrt a?\nAnswer: -3477*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 10:44 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*h + 43765, -3*l + 4*h + 6016 = -20239. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 u when three letters picked without replacement from rkukq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3 - 2704*q**2 - 21680*q - 43392 = 0.\nAnswer: -4, 2712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d - 52 = 3*k + 7*d, -2*k - 7*k + 4*k = 4*d + 131 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 16*a - 36. What is the least common multiple of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 55 = -p, -3*p = -v + 37 - 2. Suppose -4*b + 5*b - 10 = 0. Calculate the greatest common factor of v and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 8 = -4*k, -4*k - 741 = -2*i - 737 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 12*y - 8*y - 20, 9*p = 4*y - 44 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 + -0.2. Let v = -3.1 - -3. Let i be (-2)\/(-3) - 23\/21. Which is the smallest value? (a) i (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*y**4 - 140*y + 27377 wrt y.\nAnswer: -240*y**3 - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = -4*k, 2*w + 0*k + 3*k - 2 = 0. Let g(q) = 0*q + q - 520*q**2 + 521*q**2 - w. What is g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*a - 8\/3*a**2 - 2\/3*a**3 - 4\/3.\nAnswer: -2*(a + 1)**2*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.8 minus -211?\nAnswer: 168.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -123237, -123236, -123235, -123234?\n\"Answer: o - 123238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15375097.\nAnswer: 439, 35023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*g - 319 - 425, -g - 2*w + 248 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/20 (b) -0.4 (c) 271\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66875111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + 4*(4*sqrt(95) + sqrt(95) + sqrt(95) + sqrt(95)))\/sqrt(5))**2.\nAnswer: 15979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/(-3)*(-54)\/(-8). Let u = -14 - -26. Let g be 53\/3 - (-4)\/u. Calculate the greatest common factor of g and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-9) + 0 + (-40)\/90. Put 3\/2, -0.067, -4, n in descending order.\nAnswer: 3\/2, n, -0.067, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -16*h**4\/3 + 1652*h**3\/3 - 1748*h**2 + 4408*h\/3 - 800\/3 = 0.\nAnswer: 1\/4, 1, 2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1439 - -0.8561. Which is the third smallest value? (a) 2\/1249 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 2. Suppose -5*c + 107 = 197. Let v(h) = 13*h**2 + 9. Let u(g) = c*n(g) - 4*v(g). Let a(s) = 109*s**2. What is a(u(o))?\nAnswer: 436*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 32*b - 10614 = 0. Let z = 168 - b. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275649 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4) - (-2)\/(-4))*(-463 - -468). Let l be (-2)\/(-2)*2\/(-10). Sort -3, u, l.\nAnswer: u, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6*i)\/(i**(2\/9)\/i)*(i*i*i**(-1\/2)*i)\/(i\/(i**7\/i)))\/(i*i**(2\/3)*i**(1\/4)\/i)**43 assuming i is positive.\nAnswer: i**(-869\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1.4, -982363 in ascending order.\nAnswer: -982363, -7, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -33*3.8\nAnswer: -125.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 1 - 6461*w**2.\nAnswer: -6461*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 82*j**3 - 3*j**2 + 3*j + 2. Let s(h) = -165*h**3 + 5*h**2 - 5*h - 3. Determine 3*s(b) + 5*t(b).\nAnswer: -85*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1278.05 - -5\nAnswer: -1273.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.466 * 43044\nAnswer: -63102.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 13. Let k(s) = -4*s - 4. Let q be k(g). Suppose 4*n = 5*n - 4. Solve n*i + q = -0*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 6:13 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 11) + -11 + 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/(-56) + (-4)\/(-14). Suppose -10*n + 12*n = -118. Let o = n + 294\/5. Sort 5, q, o.\nAnswer: q, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 17 = 2. Let o = -20 - -19. Put o, i, 2 in descending order.\nAnswer: i, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.114 - 0.114. Let n = 4 - 9. Let i be (-3)\/(-18)*-2 - 0. Which is the second biggest value? (a) n (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12220 (base 6) to base 9.\nAnswer: -2433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32785*h + 91*h**3 - 32785*h.\nAnswer: 91*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63154295?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -462*s - 4923. What is b(-10)?\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -173.\nAnswer: -25\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -1\/8, -2\/15, -298, 31?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330\/(-231)*6\/36*4\/10.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 3 - 2759*u**4 + 3*u + 2779*u**4 + u**2 to y*u**2 + z*u**4 + b + g*u**3 + q*u and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**5\/60 - 7*m**4\/24 + 5*m**3\/3 - m**2. Suppose -p = 3*y + 24, -4*y + 5 = -3*y - 4*p. What are the prime factors of f(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 271 + -269. Suppose 0 = -12*v + 15*v. Suppose 0*s - t*w - 23298 = -s, v = -4*w + 4. What is s rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.9? (a) 0.15 (b) -3\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 100 = -10*h. Let l be h*((-1 - 3) + 3). Suppose -3*n - l + 247 = 0. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzbeuazzbzb. What is prob of picking 2 e, 1 z, and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and -4894.47.\nAnswer: 117467.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 57868\/(-161)*7\/(-2). Calculate the greatest common divisor of 74 and b.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 78*y**2 - 6*y + 1. Let a = 458 - 455. What is the units digit of t(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14886 or 14604?\nAnswer: 14604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1768*c**3 + 7*c**2 - 8*c - 504. Let g(r) = 1769*r**3 + 9*r**2 - 10*r - 502. Let j(w) = -5*d(w) + 4*g(w). Find the third derivative of j(u) wrt u.\nAnswer: -10584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -24, 2515.\nAnswer: -24, -4, 3, 2515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*d - 2*d - 69*d + 32*d.\nAnswer: -119*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k - 5*k + 2*k**2)*(0 + 0 - 2*k**2) + (0*k**4 + 13*k**4 + 5*k**4)*(0 + 5 - 4) to w*k**2 + j + s*k + b*k**4 + h*k**3 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**2\/9 - 218*q\/9 + 224\/3 = 0.\nAnswer: -112, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -58034500 to the nearest one hundred thousand.\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018647 to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 218*t + 10217. Give k(58).\nAnswer: 937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4668580 by 333470.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*x + 66 - 138 + 72 - 216*x as p*x + o and give p.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4367 (base 8) to base 11\nAnswer: 17a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*y**3 - 18*y**3 + 25*y**2 - 1 + 58*y**2 - 17*y**3.\nAnswer: -2*y**3 + 83*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2066 (base 8) in base 9?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 3*s**2 - 2*s - 2. Let r be u(-4). Is 4\/5*(-1075)\/r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(375) - (sqrt(375) + (sqrt(375) - sqrt(375)*-2 - sqrt(375)) + sqrt(375)) - sqrt(375))*3)\/((sqrt(1536)*-1)\/(sqrt(96)\/sqrt(300))).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1542 and 10?\nAnswer: 7710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -710\/9, -6.78?\nAnswer: -710\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82495244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**3 - g**2 - 3*g. Let f(p) = 11 + p**3 + 3 + 3 - 17. Determine -6*f(l) - w(l).\nAnswer: l**3 + l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/7308 and 139\/26712?\nAnswer: 774648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 138\/30 + (-4)\/(-10). Suppose a*r = 188 - 8. What is the highest common divisor of r and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 9. Let o(m) = -1151*m. Give o(c(y)).\nAnswer: 2302*y**2 - 10359","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1094 = -q, -4*x + 6*x - 1094 = -q. Is q a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 888 and 2775.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15912 and 9945?\nAnswer: 79560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -56911 < -56676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -173442 (base 9) in base 5?\nAnswer: -11420100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 397*g + 395*g + 18 = 0, -2*c = -4*g - 44 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*p + 13 = -3*a, a = p + 1. Suppose -11 = -0*t + 5*t + 2*n, -4*n = 3*t + 1. Let b be (-6)\/t*a + 2. Sort -1, b, -0.1 in ascending order.\nAnswer: -1, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iyyii.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 12) to base 11.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 122574779 from -0.05.\nAnswer: -122574779.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4406 = 342*i - 340*i, 2176 = i - 2*t. What is the lowest common multiple of 40 and i?\nAnswer: 21880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/16)\/((-2)\/(-4)). Let m be (8 + (-2 - 6))\/p. What is d in m*d - 1\/3*d**2 + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6636 and 1580.\nAnswer: 33180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74759.\nAnswer: 74759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8601 in 0.3, 2, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55531373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 2 - 8 + 10.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 373?\nAnswer: 2238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -20. Suppose 5 = v*r + 1. Sort -4, -2, -3, r in descending order.\nAnswer: r, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 604071 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4159761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, 0.06, 4, 3\/4 in decreasing order.\nAnswer: 4, 3\/4, 0.06, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 20*w**2 + 8*w + 28. Let t(k) = -13*k**2 - 5*k - 19. Let o(d) = 7*t(d) + 5*x(d). Let y be o(-3). Factor -u - 24*u**2 - 15*u**3 - y*u**3 + 16*u**3 - u.\nAnswer: -2*u*(6*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 - n**2 + 2*n**3)*(-1 + 0 - 2)*(2 + 6 + 39)*(-6 + 4 + 1)*(3 - 3 + 2) in the form i*n**2 + t + m*n**3 + d*n and give m.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*b = 2*a + 13, 3*b = -4*a - 7. Let f = 6.4884 - 5.9884. What is the smallest value in -0.5, f, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -252, -143, 124?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43 - 1736?\nAnswer: -16a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**4 - v + v + (-253 + 253 + 48*v)*(4*v - 4*v + v)*(2*v**2 - v**2 + v**2) - 2*v**4 - 4*v**3 + 4*v**3.\nAnswer: 97*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**3\/3 + 3*j**2 + 31*j. Let x be (-10)\/20 - 6\/(-4). Let n be v(x). What is the greatest common divisor of n and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 50.3. Let n = -2 - -3. Which is the third biggest value? (a) n (b) 0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjd when four letters picked without replacement from {d: 3, j: 4, x: 11}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 80910707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -676 + 675.5. Let u = -13 - -13.4. Let k = 0.1 - u. What is the nearest to 0 in k, y, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 9*x**2 - 10*x - 5. Let s be b(10). Let l be (8 + -9)\/((-1)\/s). Let z = l + 12. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 5508?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 670, 2349, 5612, 10987, 19002, 30185?\nAnswer: 45064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t**2 - 7*t. Let v(z) = -2*z. What is r(v(s))?\nAnswer: -20*s**2 + 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34.2 - -34.7. Is t > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 79 = -10490*c + 10478*c, c + 4*q - 13 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-28)\/(-35))\/((-2)\/(-170)). Calculate the common denominator of (d\/(-70))\/((-8)\/10) and ((-50)\/48 + 2)*-2.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/((-26)\/(-10660)). Let j = 295 - b. What is the greatest common factor of j and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, u: 9}. What is prob of picking 4 u?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*sqrt(80)\/sqrt(8))\/sqrt(180) + 0)**2*3*6.\nAnswer: -36*sqrt(2) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/((-44)\/(-220))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.62 - -1.38. Let k = 0.23 - -1.57. Let z = 27 - 27.1. Which is the second smallest value? (a) k (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -57*a**2. Let i(h) = 43*h**2 + 47*h**2 + 50*h**2 - 143*h**2. Determine w(i(s)).\nAnswer: -513*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 4241?\nAnswer: -4244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2 - 17. Suppose 3*u + 0*u = -m*t + 19, 9 = 3*u. Suppose t*g - 46 = 46. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -37. Is ((-26)\/s)\/((-5)\/230) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 155 = m, 22 = -0*n + n + 2*m. Let f = 7 - 3. Let j = f - 0. Calculate the highest common divisor of j and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 - -110. Solve 5*t - o = 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 580368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 7. Solve -5*o - s - 2 = -3*x, 2 = -4*o + 2*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yayyaaaapyalpala. What is prob of picking 1 p, 1 y, 1 a, and 1 l?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33701 less than 33760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26470 + 26467. Let l(g) = -g**3 - 4*g**2 - 4*g + 8. What is l(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -387, 0, 3\/5, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 980.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 17*o = u + 20, -u = o + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3164 - 3221. Let k be 8\/(-7) + (-2)\/(-14). Which is the closest to 2\/7? (a) v (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1177 + 0.619225.\nAnswer: 0.501525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10 + 6 + i + 11. Suppose 3*u = -5*n + 81, 2 = -2*u + 6. Calculate the remainder when t(0) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10689921 and 5506929.\nAnswer: 181728657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + i - 1. Let v(s) = -214*s**2 + 3*s - 3. Give -v(m) + 3*x(m).\nAnswer: 211*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 454105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*x**2 - 11*x**3 + 670 - 50*x**2 + 18*x**2 - 669 as p*x**2 + s*x**3 + z + o*x and give p.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 628 = -9*i, 24339*i - 24337*i - 135 = 5*k for i.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**3 - 2*i**2 + 2. Let q be p(1). Factor -135*g**2 - 2077*g + q*g**3 - 7*g**3 - 10125 + 52*g.\nAnswer: -3*(g + 15)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21076 - -21075.7. Suppose -4*i - 2*l = -12 - 2, -4*l + 6 = -3*i. Suppose 12 = i*d - 6*d. Which is the nearest to -2? (a) y (b) 1\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 21*o**4 - 3729*o**3 - 5361*o**2 - 1611*o = 0.\nAnswer: -1, -3\/7, 0, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 4*o**3 + 2*o**3)*(-o**2 - 597 + 40*o + 597).\nAnswer: -2*o**5 + 80*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x + 11. Let g(i) = -i - 1. Let b(n) = 5*g(n) + v(n). Let w be b(-4). Solve w*j = 6 + 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**3 + 15*t - 21. Let r(m) = 2*m**3 - 7*m + 10. Let z(b) = 4*b + 10. Let s be z(-4). Calculate s*f(y) - 13*r(y).\nAnswer: -2*y**3 + y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63.9 + 63.85575. Let r = t + 0.042209. Round r to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c**2 + 9*c + 6. Let u(z) = -z**2 + 2*z. Calculate o(v) - 6*u(v).\nAnswer: -2*v**2 - 3*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146 + 219. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o - 48*o + 43*o + 168*o + 1560 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-12) + 119\/102. Factor 34*a - 7*a**w - 9 - 19*a + 2*a**3 - a**3.\nAnswer: (a - 3)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20, 76, 158, 266, 400, 560?\n\"Answer: 13*x**2 + 17*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v = 2*g - 6, 0 = -g - 1. Let b(l) = -4*l**3 + 163*l**2 + 1392*l + 7. Let q be b(48). Solve v*i + 20 = q*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 1:50 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(135)\/(2*sqrt(5)) + -3.\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-4)*56\/42. Solve -v*z + 4*z - 8 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from {j: 1, z: 1, t: 1, k: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.36772mm in kilometers?\nAnswer: 0.00002436772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55238.23634 plus -0.3?\nAnswer: 55237.93634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -91*k*q*w**2 - 21351*k*q + 2*k + 326*q + 4467*w**2 + 10*w wrt k.\nAnswer: -91*q*w**2 - 21351*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 119295390 divided by -25962?\nAnswer: -4595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 596?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 48*g. Let o be d(1). Let u be o\/20*2\/8. Put -2, u, -3\/7 in decreasing order.\nAnswer: u, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -6, -34, -94, -192?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002961 to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 256019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -1\/6, 62.14?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2\/3 - 1232*g\/3 - 189728\/3 = 0. Calculate g.\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 41 = 4*n + n, -2*t = -4. Let j(s) = s**2 - 6*s + 15. List the prime factors of j(n).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -2, -7, -15, 0 in ascending order.\nAnswer: -15, -7, -2, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.22002 - 17492?\nAnswer: -17513.22002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 5 - 9)*(6 - 6 - 2*g)*(4 - 2*g - 4) - 1 + 1 - 3*g**2.\nAnswer: -163*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13074 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 7*q - 7. Suppose 4*b - 5*b + 7 = u, 5*u + 25 = 0. Calculate the smallest common multiple of b and f(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i - 2. Let j be f(-4). Suppose -j*z = 4*z + 112. Which is the third smallest value? (a) z (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 447 + -1005\/2. Let q = 53 + z. Is -2 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/120*12\/21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52864*c**3 + 79320*c - 2 wrt c.\nAnswer: 317184*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000025592388486 rounded to 7 decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 104, -167, -1172, -3277, -6848, -12251, -19852, -30017?\n\"Answer: -61*t**3 - t**2 + 159*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l**2 + 11*l + 11. Let r(z) = -2*z**2 - 2*z - 2. Let n(b) = -22*r(b) - 4*v(b). Let u(c) = -61*c + 30*c + 28*c. Determine n(u(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -22*s. Let g = 31 - 23. Let q(o) = -o + 3. Let l(m) = 3*m - 8. Let a(t) = g*q(t) + 3*l(t). Determine a(r(p)).\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 858000 and 61143225?\nAnswer: 10725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**5\/20 + f**4\/6 + f**3\/6 - f**2\/2 + 66*f. Determine n(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 6*i + 600. What is the second derivative of -i*t + 62*t - 7 - t**5 - 11*t**2 + 44*t wrt t?\nAnswer: -20*t**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**2 + 82*w\/13 + 12\/13 = 0.\nAnswer: -3, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 6, 2*c + 0*z + 4*z = 16. Suppose 3*q + 5*i - 46 = 0, -13 = -c*i + 7. What is the greatest common divisor of 56 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2180*n + 331149. Give d(-152).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -140?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.97 + -0.13. Let k = -2 - x. Which is the second biggest value? (a) -2\/7 (b) 2\/19 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*1*2 - (sqrt(88)*-1 + sqrt(88))\/sqrt(8)*6)**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzablzazlqqlazzqzqqz. Give prob of picking 1 b and 1 q.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*u**2 - 3*u + u**2 + 3*u to the form t + r*u + c*u**2 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009718 rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/36 - (-175)\/63?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 466*b + 258. Let j be h(8). Let t = j + -107635\/27. Find the common denominator of t and -83\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000810208669 rounded to five decimal places?\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 687406272\/1008*(-6)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 20 = -3*k. Let w be -165*(-4 + 18\/k). Let n = -26 + w. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*w + 1237*w - 166*w.\nAnswer: 824*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1020, -1024, -1030, -1038, -1048, -1060, -1074?\n\"Answer: -q**2 - q - 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i + 7*i**3 + 2*i**2 + 9*i + 16*i - 325.\nAnswer: 7*i**3 + 2*i**2 - 325","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 821?\nAnswer: 2463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 50*d - 7278. Determine h(155).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2806505608 - 28098?\nAnswer: -2806533706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*(sqrt(104) + sqrt(104) + sqrt(104)*-3 - sqrt(104)) - sqrt(104))\/(sqrt(288)*-1))**2.\nAnswer: sqrt(13)\/3 + 49\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 + -54. Let i(x) = -x + 1. Let w be i(-3). What is the greatest common divisor of w and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*x**2 - 855*x + 855*x + 21*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, 200, 419, 634, 845, 1052?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edsweewdsdeewdwsess. Give prob of picking 1 w, 1 s, and 2 e.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21536923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21179.\nAnswer: 21179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2027121 - -7?\nAnswer: -2027114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3070 is divided by 893.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**6\/120 + g**5\/60 + g**4\/3 + 7*g**3\/6 - g**2. Is t(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174 divided by -174.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (806 - 724) + (-89 - -5) + -1 + -1 + 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 5) + 5 + (0 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2783 and 484.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 523191242 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*d = -3*p - 23, -4*p + 3*d - 17 = 0. Let v = 1029 + -1025. Put v, 334, p in decreasing order.\nAnswer: 334, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**5\/20 - 2*q**4\/3 - 4*q**3\/3 - 9*q**2\/2 + q. Let a be w(-7). Let h be (-2*1 - a)\/(-1). Which is smaller: h or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(((sqrt(18) - sqrt(648)) + sqrt(18))\/sqrt(3)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -192*a**2 - 41*a. Let v(j) = -2*j**2. Give t(v(x)).\nAnswer: -768*x**4 + 82*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*n - 27*n + 91*n - 28*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2 + 55*l - 345. What is the tens digit of y(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b8a - -1678?\nAnswer: 2646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 226524.5 minutes in nanoseconds?\nAnswer: 13591470000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-48))\/(4\/(-3)))\/(50\/16).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*k + 4*h, k + 5*h - 4 = h. Suppose -5*v = -5*o - 3 + 48, k = -3*v - 9. Solve -f = 3*w - 12, w + 3*f = -2*w + o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40366.301 rounded to the nearest one thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-360) + (2 - 5\/3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(50)\/sqrt(5)*-6).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -77380749, -154761494, -232142239, -309522984, -386903729?\n\"Answer: -77380745*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11069501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 36. Suppose 125 = 5*q + 2*x + 35, 0 = 3*q - 2*x - 38. Solve -6*t = -l*t - q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 723*c - 11060. Calculate s(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5673 + 5673. Suppose 0 = 5*l + 4*z, 3*l + 2*l - z = 25. What is the closest to -2\/7 in -9, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000211374 rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 12*t - 2. Let f be u(5). Let h = -578 - -568. Let y = f - h. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.10930158691262 - 0.2\nAnswer: -3.30930158691262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -18*q**2 + 5*q - 2. Let r(t) = 17*t**2 - 6*t + 3. Give 3*p(h) + 2*r(h).\nAnswer: -20*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -111*k + 3. Let j = 38 + -44. Is p(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(104) + sqrt(104) + (sqrt(104) + sqrt(104)*1 + sqrt(104))*-2 + sqrt(104) - sqrt(104))\/(-3*sqrt(16)\/sqrt(2)) + -2).\nAnswer: -4 + 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-117)\/(-6)) - (-13530)\/4290. Let r(t) be the second derivative of -2\/9*t**2 + 6*t + 1\/9*t**y + 0 - 1\/54*t**4. Find n, given that r(n) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*m - 3*m. Solve m*s + 9 = 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 10*r - 11. Let x be p(11). Let h = 71 + x. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 42 + 0)*(1 - 1 - 3)*(3*i**2 - 2*i**2 + 0*i**2).\nAnswer: 114*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 63*3 - ((-2)\/(-2))\/(-1). Let p = 309 - g. Calculate the greatest common factor of p and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -318666300 rounded to the nearest 100000?\nAnswer: -318700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -0.186, -15874, -0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133 - -1195\/9. Which is the nearest to 1? (a) v (b) 0.1 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112232 greater than 112232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-39)*1 + (-29)\/(4147\/(-594)). Let u(s) be the second derivative of 0 + 0*s**2 - 2*s + 0*s**r - 1\/60*s**6 + 1\/20*s**5 + 0*s**3. Factor u(g).\nAnswer: -g**3*(g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/423 and -37\/67993.\nAnswer: 28761039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 19*n**2 - 5809*n + 34883. What is j(6)?\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -217809 divided by 81?\nAnswer: -2689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6983464*s**6 - 3*s**2 - 1253448*s wrt s.\nAnswer: 838015680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 8) to base 14.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 390 + -187. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2 - 646*x - 18900 = 0. Calculate x.\nAnswer: -27, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204093, 816403, 1836917, 3265635, 5102557?\nAnswer: 7347683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.3 + -3. Let p be 8\/(-24)*(-258)\/(-2). Let h = p - -45. Which is the nearest to -2\/5? (a) -5 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/631, 11107, -1 in ascending order.\nAnswer: -1, 11\/631, 11107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81245547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/23256639 and -11\/5292.\nAnswer: 651185892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g = 8. Suppose -4*j - g*b = -46, 18 - 7 = 2*j - 3*b. Solve 5*a + j = 0, z + 3*a = -3*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2549*f + 2549*f - 377*f**2)*(-3 + 4 + 0) + (2*f + 0 + 0)*(0 + 0 - f) - f**2 + 0*f + 0*f - 2 + 2*f**2 + 2.\nAnswer: -378*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252 or -1003\/4?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)\/(y\/y**7))**(1\/38)*(((y**(-2\/5)*y)\/y)\/y)**(-2\/11)\/(y\/(y**3*y)*y**(1\/4)) assuming y is positive.\nAnswer: y**(12669\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvtbhhvvbtvhveeeveh. What is prob of picking 1 v, 1 h, and 1 t?\nAnswer: 16\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36627 by 87.\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.148 - -4.852. Which is the third biggest value? (a) h (b) -1\/3 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/165 and (-1 + (12 - 7))\/(-2) + 1491\/594.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 243, 409, 617, 873, 1183, 1553, 1989?\nAnswer: 2497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27.91 and -3378.3.\nAnswer: -94288.353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 11:21 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712*l**3 - 15*l**2 + 96*l + 20*l**2 - 7*l**2 - 10*l.\nAnswer: 712*l**3 - 2*l**2 + 86*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-1620)*18*(-42)\/2*-3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + -2*(sqrt(325)*1 + -2 + sqrt(325)))*6)**2.\nAnswer: -4320*sqrt(13) + 187524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 52, 34 in ascending order.\nAnswer: -5, 34, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 9. Let h be s(4). Let w(y) = -y**3 + 3*y**3 - 4*y + h*y**2 + 6 - 3*y**3. Give w(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25892511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00103695 rounded to 6 dps?\nAnswer: -0.001037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -10399 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4415*u**2 - u**3 + 1460*u**2 + 1465*u**2 + 1490*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 374274 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 775871380?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -683 - -686. What is the second smallest value in a, 0.1, -114, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 2*t + 41*t + 15*t + 3*t - 75*t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.03, -0.04, -2\/13, 3\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9284 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 15*g + 13. Is a(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/6)\/((((-30)\/6)\/(-5))\/(-7)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 8:38 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 29. Suppose -11*s + 8*s = -45. Calculate the remainder when j(s) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.14 + 0.26. Which is the biggest value? (a) 3 (b) 0.8 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -678490 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1554669195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 1)*(0 + 0 + 4)*(-1 + 0 - 2)*(61*d - 28*d + 168*d).\nAnswer: 9648*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(950)*1 + -5*sqrt(76)\/sqrt(2))\/(sqrt(4)\/(sqrt(2)*-2*-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/(-9))\/(5 - (-134)\/(-27)). Let x = -62 - j. Let s(l) = -l**3 + 2*l**2 - 2*l + 1. What is s(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*m**2 - 140*m**2 - 126*m**2 - 129*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31212, -120747, -269972, -478887?\nAnswer: -747492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 676 (b) 3 (c) -0.4 (d) 1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*h - 4*t, 0*t - t = -2*h + 13. Let c be (((-25)\/h)\/15)\/1. Is 136 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/7)*(t\/(t*t**(-2\/15)))\/t*t*t)**(2\/71)*(t**(1\/3)*t)\/t**(-6)*t\/(t*t*t*t**(-3)\/t)*t*t**4 assuming t is positive.\nAnswer: t**(107183\/7455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/2*8\/(-10). Suppose 0 = p - 1 + y. Let k be (2\/(-5))\/(p\/5). Solve 0 = -4*s - 6 + k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465151201.\nAnswer: 409, 1137289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110111000110011101 (base 2) to base 12.\nAnswer: 834651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037942 to four dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -80, -121, -176, -239, -304, -365?\n\"Answer: d**3 - 13*d**2 - 9*d - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 70 = 128. Let k be (f - 25)*(-6)\/14. Let a be 10 + (-1 - (-1 - 2)). Calculate the highest common divisor of k and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5 - 2378*u**4 - 98294*u**3 - 48046*u**2 + 19835388*u - 71675280 = 0. Calculate u.\nAnswer: -27, 4, 10, 1229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 + 11*r**2 - 4*r + 1. Let a be u(7). Let p = -513 - a. Solve 3*w - 4*y - 14 = 0, -3*w - p*y - 22 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z - 183871 - 347519 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 times -48\nAnswer: -2064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose -5*n = 4*x - v*x + 23, -x - 4*n - 16 = 0. Put 4, x, 1 in descending order.\nAnswer: 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -43\/2 (b) 3\/5 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24, 0.5, -4, -3, 203, 0.1?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*g + 54*g = 2*u + 113*g + 171, -4*g - 136 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60282 is divided by 413.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 11*a**2 - 16. Let r be n(11). Let b be (6\/8)\/((-4)\/r). Solve b*m - 7 = 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 10827472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21705 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/227 or 56238?\nAnswer: 56238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*i - 28 = -h - 100*i, 4*i + 32 = -28*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*-1*5\/5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 10*j**2 + j - 8. Let a be t(10). Suppose -7 = -5*q - a. Let l(y) = 3*y + 3. Calculate the lowest common multiple of l(2) and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 10584 = 2*l - 3*o, -3*o = -2*l + 4242. List the prime factors of l.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 743 + -138. Suppose 4*q - 9*q = -w + 185, 0 = 3*w - 5*q - m. What is the highest common divisor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/8)\/((-5)\/(-20)). Suppose 10 = q*t + 3*g - 0*g, 5*t + g = 10. Solve t*m = m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*d**3 - 120*d**3 - 116*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f + 38. Let m = -18 + f. Let b be (74 + 7)*1\/m. What is the greatest common factor of 54 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) 551 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21964426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(6) + sqrt(24)*4))\/(sqrt(90)\/(sqrt(5) - -3*sqrt(5))).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.13*-5\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414*c**3 + 474*c**3 + 743*c**3.\nAnswer: 803*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -142338?\nAnswer: -142335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1008560, -2017123, -3025686?\n\"Answer: -1008563*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853\/(-109)*(-16)\/1 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3168 by -144.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 10*d + d - d + (-1 + 5 - 3)*(-3 + 3 - 2*d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4243759 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96 - 1) + (-405 - -391).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -4719.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5771 + -5680. Solve 0 = -4*t + 4*v - 36, 2*t + 3*v - z = -89 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3923013 to the nearest integer?\nAnswer: 1981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229195588 = 19*v + 173604412. Round v to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/(5\/(-20)). Suppose d*m = 3*m + 6. Let h(z) = -2*z**2 + 950*z. Let q(w) = -3*w**2 + 1329*w. Let b(i) = 7*h(i) - 5*q(i). Determine b(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtjvrcvjtvljjlv. What is prob of sequence vv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - k + 11. Let z be n(0). Let o be (195\/(-20) - -4)*-8. Suppose -z + o = 5*b. What is the remainder when 20 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 9:16 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 399\/76 + 2\/(-8). Suppose -3*w = -3*n + 165, -n = n - y*w - 95. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-4)\/(-42)*6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2896760 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88*u**4 - 5*u**3 + 7*u**2 - 127 wrt u.\nAnswer: -2112*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 26 - 557*g + 1113*g - 545*g + 39*g**2 - 38*g**2. Give m(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1.8.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, e: 1, g: 1, z: 1, m: 2}. Give prob of picking 2 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/23)*(j**(2\/15)*j)\/j*(((j\/j**11*j*j)\/j*j)\/j)\/(j\/(j**(-4\/11)\/j)) assuming j is positive.\nAnswer: j**(-42949\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -0.2, -0.1, 5\/4 in ascending order.\nAnswer: -25, -0.2, -0.1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**5\/20 - j**4\/8 - j**3 + j**2\/2 - 4*j. Let i(q) be the first derivative of h(q). Solve i(f) = 0 for f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*1\/3 - -4. Suppose -3*x = n - 9. Suppose 4*t = 4*d + 324, 0 = 5*t - 0*d - x*d - 411. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6269*d**3*g**2 + 128*d**3*g + 4*d**3 - 2*d*g + 4*g wrt g.\nAnswer: -12538*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*u**3 - 430*u**2 + 215*u + 700.\nAnswer: 5*(u - 7)*(u + 1)*(11*u - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -6. Let g = -4 + o. Which is the biggest value? (a) 2 (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {i: 2, v: 3, x: 6, s: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 1:25 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 338*r - 12494. Give v(33).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-38 + (-3812)\/(-100))\/(198\/(-15)))\/(4\/(-10))\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 84485, 5, -5, 1 in descending order.\nAnswer: 84485, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 65 + (-42 - -9) + -28\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (0 + (-8 - 1) + -2 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9562?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*g**2 - 68275 + 68275 + 24*g**2 + 269*g**2 in the form y*g + x + n*g**2 and give n.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9922119 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.01, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxygxrxyxxgxlxgg. Give prob of sequence lx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-160)\/(-88)*1419\/86)\/(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - 68*r - 43*r to s*r + u and give s.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3198 - -0.130395\nAnswer: 3198.130395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -11. Let q = 5.58 - 0.58. Is q < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kukxuuuxkukukkukxjq. What is prob of sequence kx?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Suppose -v*w - 60 = -7*w. Suppose 2*r + w = 56. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/v)\/v**(1\/5)*(v\/v**(-7\/5))\/v*v*v**(-9) assuming v is positive.\nAnswer: v**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 18979664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-96)\/2)\/(-2) + -426 + 420. Solve 0 = -16*s + j*s + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kaaj when four letters picked without replacement from jkavkkajvajav.\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2098216.\nAnswer: 2, 41, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -47*q**3\/6 - 15*q**2\/2 + q\/3 = 0.\nAnswer: -1, 0, 2\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.3, 3, 2\/23, -5, 3\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 26. Calculate the remainder when 21 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(-190)*27\/((-21573)\/3760).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1218, -1262, -1336, -1452, -1622, -1858, -2172, -2576?\n\"Answer: -2*l**3 - 3*l**2 - 21*l - 1192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**7\/1785 + 33*h**6\/340 + 101*h**5\/170 + 305*h**4\/204 + 2*h**3 - 296*h**2. Factor u(s).\nAnswer: -2*(s - 102)*(s + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32792 less than 27690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18665 - -18660. Put f, 2, -79 in descending order.\nAnswer: 2, f, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*n, -4*n = -3*o + 5*o + 26. Let w = 8 + o. Calculate the common denominator of -87\/4 and 3 + w + 190\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/20 - (10 + -11)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6773166?\nAnswer: 2, 3, 125429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -617787206 and -617787206 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 29*i - 13*i - 13*i)*((-2*i + 2*i - i)*(2*i**2 + 0*i + 0*i) - 5*i + 4*i**3 + 5*i) - 1 + 1 - i**4.\nAnswer: 5*i**4 - 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 481*a**5\/10 - 4*a**4\/3 - 2*a**3\/3 - 6*a**2 + 456. What is the second derivative of m(o) wrt o?\nAnswer: 5772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 17 + -25 + 71 - -19.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -22*i**2 - 13*i + 5. Give g(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*i = y + 384, 3*i = -9. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**3 + 5*t**2 - 3*t - 5. Let w(x) = -3*x**3 - 5*x**2 + 3. Let n(i) = 3*w(i) + 2*z(i). What is n(7)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 104*k - 3739. Let r be o(36). Solve -3*t = 2*n + 14, 4*t + 5*n - r = -26 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (41 + -2)*8\/6. Suppose -2*g = -5*g + 156. Suppose 0*y - 2*y = -g. What is the greatest common factor of d and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1971.52334 times 5?\nAnswer: -9857.6167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 380992004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(2 - -1) + 56\/(-24). Let h(b) = -2*b**3 + 3*b**2 + 5*b + 1. Let o = 150 - 78. What is the remainder when o is divided by h(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009862113 rounded to 7 decimal places?\nAnswer: 0.0009862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3 + 0 - 3*g - 2 - 3 - 6*g. Suppose 0*f - 2*f - 10 = 0. Is u(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5296618526?\nAnswer: 2, 23, 115143881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -4)\/(4\/2). Let j(f) = -2*f. Let q be j(1). Let d(o) = o**2 + 2*o. Let p be d(q). Sort p, -3, a in increasing order.\nAnswer: -3, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37357, 37278, 37147, 36964, 36729?\n\"Answer: -26*v**2 - v + 37384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 2*g + 1. Give n(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2718 and 722686?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 5*d**2 + 4*d**2)*(-7 + 3 - 1) + (0*d**2 + 2*d**2 + 0*d**2)*(3 + 0 - 2).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - 61 - -56) + 53?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 47*c**4\/12 - 44*c**3\/3 - 2*c - 2. What is the second derivative of t(s) wrt s?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esssjseszxsiejee. What is prob of picking 2 e and 2 j?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01003428 plus 0.291?\nAnswer: 0.28096572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3066484.2 to the nearest 100.\nAnswer: -3066500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -112*m - 618. What is the smallest common multiple of z(-6) and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16628, 32241, 47842, 63425, 78984, 94513, 110006, 125457?\nAnswer: 140860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2540, -10144, -22814, -40550, -63352, -91220?\n\"Answer: -2533*z**2 - 5*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 63. Let x(f) = 2*f**2 + 5*f + 7. Let d be x(-5). Suppose 5*h - d = 33. Calculate the remainder when h is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 8:28 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*o + 42196 + 67718 = 0. What are the prime factors of o?\nAnswer: 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 11 = 6*q - 3*q, -20 = 5*q. Suppose 3*o + 5*c - 19 = 0, o - 6*o - 5*c = -35. Calculate the remainder when 3\/x*(-220)\/(-30) is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 - 2.2. Which is the closest to -0.2? (a) d (b) 0.4 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 20*v**2 - 72263*v - 308. Give k(-259).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7006 is divided by 705?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4 + k + 5 - 7 - 6 + k**2. Is a(6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 1892*d**2\/5 + 1512*d - 32\/5 = 0?\nAnswer: -4, 2\/473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.061763 and -0.07508.\nAnswer: 6.986683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 115*z**2 - 81*z + 30. Let v(b) = 2*b. What is v(u(m))?\nAnswer: 230*m**2 - 162*m + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*w + 4*o, -o - 1 + 0 = -2*w. Suppose -32 = -3*l + 5*m, -2*m - 6 - 2 = 0. Suppose l*c + 2*n - 50 = 0, n = -w*n - 5. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 6:58 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 655367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/24*4*-1. What is the closest to 0 in -0.1, -0.25, y, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 + -140. Let h be (-2)\/(-12) - 35\/g. What is the third smallest value in -2, 0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 43 = 7. Suppose 4*q + u = q. Let t be (q\/(-4))\/(2\/(-8)). Let b(y) = y**2 + 4*y + 4. What is b(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.6 + 21. Let o = 49.2 + -49. Which is the second smallest value? (a) n (b) -0.01 (c) 1\/2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d - 3. Let n(y) = y - 1. Let a(f) = -3*n(f) + u(f). Let v be a(-1). Let t = 0.3 + 1.7. Sort v, 3, t.\nAnswer: v, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdt when three letters picked without replacement from {c: 3, d: 3, t: 10, l: 3}?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*m = -323, -3*m + 363 = 4*l - 86. Suppose j - 4*j + l = 4*s, 3*s - 114 = -3*j. Calculate the highest common divisor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, u: 12, f: 1}. Give prob of picking 2 u.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3206843487 to the nearest integer?\nAnswer: 56629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 222, 462, 702, 942, 1182?\n\"Answer: 240*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 6:53 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*c - c. Calculate the remainder when c is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w + 6244 = 42*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3053671 by -142.\nAnswer: -3053671\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05608795 rounded to five dps?\nAnswer: 0.05609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4989 times 5?\nAnswer: 24945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k = 3*k + 57 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -4\/30563775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/16 at most as big as -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*x + 7*x**2 - 2 - 66*x + 5 + 50*x.\nAnswer: 7*x**2 - 109*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100546 - -125663?\nAnswer: 226542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**5 - 436*y**4 + 852*y**3 + 436*y**2 - 856*y = 0.\nAnswer: -1, 0, 1, 2, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -77316757 less than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -215 - -3?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242352?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q**2 + 2*q**2 - q**2)*(-1 + 1 - 1) - 11*q + 3*q**2 + 11*q)*(20*q**3 - 79*q**2 + 79*q**2 - 6*q).\nAnswer: 80*q**5 - 24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**5)**(-2\/59) assuming o is positive.\nAnswer: o**(6\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*q = -2 - 1, 0 = 3*w + 2*q - 17. Solve -4*u + w*u + 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.26417, 5, 0.5, -12, -11, -2, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125119, -500475, -1126067, -2001895, -3127959?\nAnswer: -4504259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -1*-4*9. Suppose -22 = g - o. Solve -g = 3*f - 4*x, -2*x = f - 3*f - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -4?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*r - 4*r. What is the smallest value in -1, 1\/6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, p: 6, u: 5, x: 3, w: 3, z: 2}. Give prob of sequence xzug.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0*x - 4. Suppose -2*u = -3*u + x. Is 807\/12 - u\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*u = -41*u + 289*u + 26784 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3284644239 to the power of 1\/2, to the nearest integer?\nAnswer: 57312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110 + 184. Let k = -71 + j. What is the third derivative of 21*p**3 + k*p**3 + p**2 + p**2 wrt p?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - f**3 - f**3)*(0 + 2 - 1) + 4*f**3 - 4*f**3 - f**3 + 5*f**3 + 0*f**3 - 3*f**3 + 82003*f**3 + 64*f**2 + 53*f**2 - 225*f**2 + 50*f**2 + 58*f**2.\nAnswer: 82002*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22, -50, -78, -106, -134?\n\"Answer: -28*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 958785931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11276 + -13349. Is p less than 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/6)\/(18*(-3)\/60*226\/1017)\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 44 + 10*b**2 - 21 - 20 - 117*b**2 in the form z*b + l + y*b**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -10. Calculate the least common multiple of 6 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, 12\/11, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooooo. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(3 + 0 - 5)*(1 + 1 - 3)*(-3 + 8 + 2)*(331*y + 188*y - 166*y).\nAnswer: 9884*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((2 - (-1 + 1)) + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/11)*(f**(-12\/5)\/f)\/f*f assuming f is positive.\nAnswer: f**(-207\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 61 (b) -1\/3 (c) -3 (d) 1\/5 (e) 88 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 3*z**4 - 2*z**2 + 2)*(62 - 7*z - 62).\nAnswer: -21*z**5 - 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, 33 in decreasing order.\nAnswer: 33, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8dce + 13b?\nAnswer: 901a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*z - 3. Let l be (-42)\/4*z + 2. Let y = -11 - l. What is the greatest common divisor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 8. What is the second derivative of -2*x**2 - 3*x**2 - 6*x - 3*x**2 - x**b wrt x?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 611873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 3*h**2 - 3*h - 7. Let m be i(-4). Let q(x) = 25*x + 12. Let c(u) = 51*u + 25. Let w(l) = m*q(l) + 6*c(l). What is the hundreds digit of w(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*l + 4*i - 4, 374*l + 2*i = 378*l + 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3 and 27\/269?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 21 - 357*k**2 - 16 + 356*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6302?\nAnswer: 2, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2. Let f(y) = 77*y + 1. Calculate f(x(o)).\nAnswer: 154*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkckkkckkkkckkkk?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321110 (base 6) to base 16.\nAnswer: 6642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0793448 rounded to 3 dps?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*c**3 - 18*c**3 + 12*c**3)*(-1 - 2 + 4).\nAnswer: -23*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 726658 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u - 14. Let a be g(-4). Suppose -a*y + 28*y = 2. Which is bigger: -4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 28. Suppose 3*l - 5*f - 2 = -1, n = -2*l + 2*f. Let r be -1*3*1\/2. Which is bigger: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -1.128\nAnswer: 2.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -45, 0.5, 0.3?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*m - 38677 = 5841, -2*m + 22231 = p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k**3 + k**2. Let m be x(1). Suppose -r = -5*r + m. Solve -d + 0*j = 5*j - 22, 0 = -4*d + r*j - 22 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 111 (b) 2\/15 (c) -2466\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.95 - -1451.8.\nAnswer: 1439.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + g - 258. Let m = 22 + -74. Let a = m - g. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 6, -4*c + 2*a + 233 + 191 = 0. What is the greatest common divisor of c and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -176 + 184. Let a(w) = 24 - 29 - 2*w + 17. Calculate a(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 436 + -434. Suppose 2*c = -5*b + 8*b + 2, 0 = -j*b + c - 1. What is the nearest to -4 in 2, b, 5, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-108 + 111)\/(24\/10)*6\/(-3). What is the fourth smallest value in u, 4\/9, -5, -0.4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(-45) + 79\/1185?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a - 75. Suppose -a + 5 = -5*q. Suppose -3*y = -q*s + 8, 4 = -3*s + 4*s - 2*y. What is s rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22234067?\nAnswer: 22234067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1582956 is divided by 544.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 9 = -3. Suppose -20 = -r - y. Suppose -3*v = -5*u - 74, v + u - 20 = 10. Calculate the greatest common factor of v and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12554634 (base 7) to base 16\nAnswer: 11a5dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4073434*c. Let k(j) = -2*j**2. Calculate k(g(a)).\nAnswer: -33185729104712*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3165789?\nAnswer: 3, 11, 23, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/6813814 and 45\/11.\nAnswer: 74951954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 89*f**2 - 2*f + 3. Let v be k(1). Suppose 2 + 32 = a + 5*r, -4*a + 3*r + v = 0. What is the lowest common multiple of 24 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 76999\/(-325) + -13 - 4\/50. Is c bigger than -247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6768 is divided by 6458?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1314 + 1368.9. Let g = z - 55. Let x = 6 - 5.6. Which is the nearest to g? (a) -0.3 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -11*m + 45. Let r be y(4). Solve -5 + r = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 622325739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**4 - 40*g**3 + 178*g**2 - 96*g - 315 = 0.\nAnswer: -1, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2655956, -5311868, -7967780, -10623692, -13279604?\nAnswer: -15935516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68030092 smaller than 68030081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/170370 and 67\/30?\nAnswer: 170370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 3*v + 24. What is the remainder when 23 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/7, -3\/5, 5593 in decreasing order.\nAnswer: 5593, 10\/7, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + 6*g + (0 + 2 - 1)*(-g - g + 0*g))*(12*g**4 + 50*g**4 - 32*g**4).\nAnswer: 120*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*y**2 + 0*y**3 - 2*y**3 - 30*y**2 - 2*y + 3*y**3 to i*y**2 + o*y**3 + f*y + s and give i.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2 - 95*c - 1. Let q(r) = -6*r**2 - 94*r - 1. Give -5*d(h) + 4*q(h).\nAnswer: h**2 + 99*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.84 + 11.84. Put k, -5, 0.2 in descending order.\nAnswer: 0.2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2257\/6 + -6839\/18. What is the smallest value in -4\/3, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 - x**2 - x**3 + 2*x**4 - x**3 - 6 + 5*x**3 as f*x**2 + h + d*x**3 + b*x + z*x**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20538 divided by 3423.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/3 - 662*j**2\/3 + 124745*j\/3 - 4837300\/3 = 0 for j.\nAnswer: 52, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 70578 (base 9) to base 6\nAnswer: 554455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*m + 3*m. Suppose 4*c + 4*j = 2*j, m*j = 0. Factor 1\/3 - 1\/3*v**2 + c*v.\nAnswer: -(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34294\/9 - 3816. What is the common denominator of (-2)\/(-10) + (-366)\/(-120) and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2191339\nAnswer: -5\/2191339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y = -510 - 509 + 794. Put -1, -4, y, -3 in increasing order.\nAnswer: -4, -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide (22 - 12)*409\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0.4, -0.5, -0.4, -150, -23\/5, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9473 is divided by 9118?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1551899785 to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*b - 17*b + 18*b)*(-2 - 1 + 1) - 8*b + b + b + 0 + 2 - b - 4.\nAnswer: -55*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 215843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 33 - 39)*(12 - 6*q - 12)*(1 - 3*q - 1) to the form c*q**2 + m + r*q and give c.\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28081 - -54241. What are the prime factors of q?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108544 + 153988. What is the greatest common factor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/(-125) + 152\/10. Differentiate -56 - 22*i**2 + 19 - z*i**2 with respect to i.\nAnswer: -74*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 23. Suppose f*h + 17 = 5*d, h - 4*h = -5*d + 18. Solve -4*y - 16 = 0, -4*u - d*y = -0*u - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*l**3 + 561597*l**2 + 160458*l.\nAnswer: -3*l*(l - 26743)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 4729?\nAnswer: -2\/4729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 140432829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21.66, 1\/4, 5.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-18 - (-11 - -4)) - 19.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3 - 126922*x**2 - 9*x**4 - 92*x**3 + 126922*x**2 as q*x**4 + h*x**2 + j + z*x**3 + y*x and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**4 + 31*a**3 + a**2 + 1. Let r(d) = -645*d**4 + 124*d**3 + 1021*d**2 + 6. Let h(f) = r(f) - 4*w(f). Find the third derivative of h(v) wrt v.\nAnswer: -15576*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/3 (b) -1\/4 (c) 44 (d) -1\/6 (e) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -208 and 0.17.\nAnswer: -207.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2700 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -7\/24*x**4 + 0 - 1\/60*x**5 + x**2 + 0*x - 1\/2*x**3. Is d(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82544380 divided by 4090\nAnswer: -20182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12202 (base 3) in base 14?\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*d + 4 = d, 3*v - 2*d - 4 = 0. Suppose v = -3*m - 4*n + 88, 3*n - 40 = -m - n. Let i = -24 + m. Solve i = 3*f + 2*f - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7560 and 4034232.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 - ((-58)\/11)\/2 and 8\/(-12) - (-278)\/66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 23. Does 6 divide (q - 3\/3) + 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 845d + 1?\nAnswer: 845e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23.7 in 4, 0, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 624 + -619.67. Let b = 4.7 - 4.03. Let t = b + v. What is the nearest to 1 in t, 6\/11, 0.4?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3276 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -22\/195 (b) -3\/13 (c) 9 (d) 2\/9 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178960 + 57798 = -2089*r for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 41. Suppose 5*n = 2*h - 4, 0 = 4*n + 2*h - 7*h + 10. Suppose c*v - 511 - 16975 = n. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**3\/3 - 3*k**2\/2 - 24. Suppose -m - 5 + 2 = 0. Let d be j(m). Put -4, 7, d in descending order.\nAnswer: 7, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 657 and 1184717.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w + 4*j - 225 = 0, 35005*w - 35000*w - 51 = j for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3403632 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from {s: 1, e: 2, a: 2, c: 4, w: 1, t: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3882 times -58?\nAnswer: -225156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - 0.05. Let s = -47 - -47.12. Let j = m - s. Which is the nearest to j? (a) -0.5 (b) 0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -199 in -0.04, 2\/19, -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4651 + -2637. What are the prime factors of q?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by -4834095?\nAnswer: -13\/966819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 1, d: 4, b: 4, j: 3}. What is prob of picking 2 j and 1 l?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 800960000 rounded to the nearest 1000000?\nAnswer: 801000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -75 + -1?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 868 and 644?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -11*z + 78\/7 - 1\/7*z**2 = 0.\nAnswer: -78, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**3\/3 - 2742*f**2 + 7518564*f + 8544. Let w(i) = 0. Calculate i.\nAnswer: 2742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 6 = -3*h. Let a(n) = -10*n**2 - 4. Let k(v) = 7*v**2 + 3. Let l(y) = h*a(y) + 7*k(y). Let l(g) = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -5 - 11\/3*a**2 + 3\/2*a**4 - 8\/3*a**3 - 4\/3*a. Factor l(p).\nAnswer: 2*(p - 2)*(3*p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 + 0*b**3 - 2*b**3 + (-6218*b**2 - 2 + 2941*b**2 + 3106*b**2)*(-2*b + 5 - 5).\nAnswer: 338*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.955 rounded to zero decimal places?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00976309 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**3\/5 + 10588446*l**2 = 0.\nAnswer: 0, 26471115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7520, 0.3, 93 in increasing order.\nAnswer: -4, 0.3, 93, 7520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = y + y. Let q be -19*(-4)\/28 - (-4)\/14. Let b(j) = -11*j + 10*j - q + 9*j. Let d(w) = -7*w + 3. Give y*d(l) - 5*b(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 10*j**2 - 31*j + 327. Give v(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -54 + 12.113\nAnswer: -41.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*((-4)\/9)\/(-4). Is j less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 26 + 98 = 0. Suppose 0 = p - 7*p - k. Put 1, 0, -5, p in ascending order.\nAnswer: -5, p, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 2\/51, 8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 90852661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15992*s - 2*s**3 - 8001*s - 7991*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20595427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2*(4 + (-363)\/90)*-12\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + -0.57. Let z = w + 0.57. Which is the biggest value? (a) 0.5 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.0611 + -0.9389. Which is the third smallest value? (a) -1\/8 (b) -4\/7 (c) -5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 129 = 369 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86156462.\nAnswer: 2, 7, 6154033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 12*d - 24. Determine c(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-149678765.\nAnswer: 299357530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*u - 62*u = 416 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 134 = -w - 127 - 6, w - 1 + 0 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 13.04. Let k = 1.083 + j. Let a = -0.443 + k. Sort 0.4, a, 3, 0.01 in decreasing order.\nAnswer: 3, 0.4, 0.01, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 28. Let t = -46\/99 - -8\/33. What is the second smallest value in -5, -1, a, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t - 1. Suppose -4*c + 0*c + 4 = 0. Let x be j(c). Let k = -50 + 55. Solve 7 = x*s + 7*z - 2*z, -k*s = z - 19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1698006 times -0.79?\nAnswer: 1341424.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1595 (b) 1 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 7, 4 in descending order.\nAnswer: 7, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1249 is divided by 480.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, -0.1, -5\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-124)\/(-20) - (2 - 18\/10). Suppose 0 = -z*n + 83 + 1. Suppose -6 = -5*d + 2*l + 34, d - 35 = -5*l. What is the least common multiple of n and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - v + 3*m - 6, -4*v - 17 = 5*m. Let g be (-1 + v\/(-2))*(6 - 2). What are the prime factors of (1124\/g)\/(18 + -16)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.7075 times 9\nAnswer: -15.3675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -46*z**2 + 3453*z - 246. Give i(75).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266222*c + 266227*c + 58 = -9*k, -10 = -3*k + 2*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 13 + 2)*(j - 4 - j - j) to o + b*j and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 2*c + 4. Let w be j(-3). Let d be 8\/28 - (-12)\/w. Suppose 0 = 4*y + 18 - 6, d*n + 21 = -5*y. Put 1\/9, 2\/11, n in increasing order.\nAnswer: n, 1\/9, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2025385242 to the power of 1\/2, to the nearest integer?\nAnswer: 45004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8630.521 weeks?\nAnswer: 86995651.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8706\/7 - 17391\/14. Which is the third biggest value? (a) 1 (b) -5 (c) -3 (d) w (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*o - 8*o + 13*o + 22*o**2 - 17 with respect to o.\nAnswer: 44*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + m = -11, -12*l - 2*m = -17 - 41. Solve -l*j = 17*j + 126 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30014607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1)*2\/2. Let k = 0 - -7. Suppose 3*t = o - k, 2*t - 3*o + 8 = 1. Put t, z, -3 in increasing order.\nAnswer: -3, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2 + 0*u - 4 - 2*u. Let a be m(3). Let n = 45 + a. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.596, 2\/33, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110260 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40.27 - -40. Let v = -2.17 - c. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2 + 39*h + 36 = 0. Calculate h.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 10 + 15. Suppose 5*x - 2*c = -8050008, -5*x + v*c - 6440020 = -x. Round x to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 77*v**3 + 3*v**2 - 3*v. Let f be r(2). Is -2 - (-6 + 3 - f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.2 >= -2059\/193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = 637 - 588 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -624*d + 0 - 12 + 706*d - 5. Let s(k) = k + 1. Let h be s(6). Is f(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23258, -46492, -69726, -92960, -116194?\n\"Answer: -23234*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**3 + o**2 + 0 + 0*o - 1\/8*o**4. What is the units digit of b(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(((-15)\/3)\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 66368 = w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 17*d = 3*a + 7, -2*d - 5*a - 8 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 4368*v - 88*v + 825*v.\nAnswer: 5105*v - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5\/(-2) + (-7)\/14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-83)\/(-5)*4)\/(-2). Let h = m + 1171\/30. Calculate the common denominator of h and (149\/(-18) - 1) + 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -12*h + 60. Let w be t(5). Is 7*(-4 + w)*(-738)\/72 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2*-6*-3)\/(sqrt(324) - (sqrt(324) - sqrt(324)*-2) - sqrt(63)\/(sqrt(7) - (sqrt(7) + sqrt(14)\/sqrt(2))))*2.\nAnswer: -72*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 - 8*t**2 - 4*t + 2 + 4*t**3 + 26 - 10.\nAnswer: 4*(t - 2)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210323 (base 4) to base 16.\nAnswer: 293b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -25985, 1, -7 in descending order.\nAnswer: 4, 1, -7, -25985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -27*y + 8. Let p be r(-8). Calculate the remainder when 28 is divided by (-8)\/(p\/(-147)) + 2\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 + -102 + (-4 + -4 + 7 - (-80 - 2))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*r - 6, 3*r = 3*s + 7*r - 6. Suppose -s*z = -1579 + 1565. Solve 3*k + z = 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = k + 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.04 + 0.96. Let l = -304 - -304.03. What is the second smallest value in v, -8, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.8 + -0.8. Let q = 15 + x. Let y = -24.17 + q. What is y rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 9. Let t be q(7). Suppose 0 = 29*b - 33*b + t. Suppose 0 = -0*f + f - g - 1, 2*f = b*g. Solve 0 = -h - f*h + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7\/(-21) - 121\/(-3) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {a: 2, l: 2, g: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((7 + -11 - 5) + (0 - -4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -374987913594701\/57952440 + 3552361258\/549. Let l be (-26408)\/118755 + 4\/18. Let j = u + l. Find the common denominator of j and 35\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1173*p + 3*r + 9 = 1174*p, -5*p + 12 = -4*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 605210373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5067, 10127, 15161, 20157, 25103, 29987, 34797?\n\"Answer: -2*u**3 - u**2 + 5077*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17761982 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.3 + -6. Let i be 2\/(-10) - (-15)\/(-175). Let a = 172 - 174. What is the nearest to a in i, 2, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22450)\/(-7184) - 12150\/1584?\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*o**5 - 9755*o**4 + 235710*o**3 + 726005*o**2 + 706210*o + 225600 = 0 for o.\nAnswer: -160, -1, -6\/7, 47\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00169176748 rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3230322 + -2?\nAnswer: -3230330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003670845 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-1\/37)*i*i\/((i\/i**22)\/i*i))**35 assuming i is positive.\nAnswer: i**(32340\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -69775.5912 rounded to the nearest one hundred?\nAnswer: -69800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 99.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8294 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/(y*y**(-1\/5)*y))\/y)\/((y\/y**3)\/y))\/((y\/(y*y*(y*(y\/(y**(1\/5)\/y))\/y)\/y*y*y)*y*y)\/(y*y**(-1)\/y*y*y)) assuming y is positive.\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51390?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*-3 + 203\/58. Suppose w = -u + v, -3*u + 1 = 2*u - w. Let l = u - -7. Calculate the remainder when 24 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4531\/50 + -452\/5. What is the common denominator of k and ((-2)\/(-6))\/(-15*23\/5520)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1532, 1099, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146376 = 6194*o - 10046*o for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 28170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14380 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 48 = 41*a - 47*a, -40 = -5*a - 5*u for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1707.057 - 1573.97. Let z = -133 + d. What is z rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = 3. Let a be (-96)\/64 + q*326\/4. Suppose 10*b - 2*b = a. Solve 5*t = b, -m + 5*m + t = -2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -222*x**3 + 36 - 96*x**2 - 61*x - 6*x + 12*x**5 - 102*x**4 + 75*x**4 - 183*x**2 + 7*x = 0.\nAnswer: -2, -1, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 118, 172, 222?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 697708499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100327 is divided by 394?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5026 + -2307. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68686795753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1552 and 4074.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)\/sqrt(176) - sqrt(36))\/((-1*sqrt(72) - sqrt(72))\/sqrt(6)))**2.\nAnswer: 27\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297479.\nAnswer: 7, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 4*s + 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5649281171 to the power of 1\/2, to the nearest integer?\nAnswer: 75162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-130)\/13)\/((-2)\/2). Let s be 4 + -2 + (i - 2). Suppose -s*z + 6*z = -32. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-2))\/((-34)\/68).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4053739461?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.98? (a) -3\/4 (b) -0.4 (c) -60 (d) -2\/15 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 2, g: 1, w: 4}. What is prob of picking 1 g, 2 h, and 1 w?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 45 (c) -0.9 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k + 120 = 41*k - 5*n, -2*k = 4*n - 138. What is the least common multiple of k and 55?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 5 + 4)*(4 - 3 - 5)*(-r - 2*r + 4*r) to m*r + b and give m.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -581751 + 1075751. What is t rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/54)\/(1524\/(-2286)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 9:06 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -62536642582 - 0.5\nAnswer: -62536642582.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzkurrs. What is prob of sequence szu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 79*j**2 + 132*j - 180. Let t(o) = 27*o**2 + 44*o - 60. Let k(a) = -17*t(a) + 6*x(a). What are the prime factors of k(-11)?\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -76. Let y = i + -28. Let c = -24 - y. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000581 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4\/3, -23, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17495 + 16795.74. What is z rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 14*i**2 - 11*i - 11. Let f = -3 - 11. List the prime factors of b(f).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2 + 102678*w + 102675 = 0.\nAnswer: -34225, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16977*p**4 - 11*p**3 - 427054*p**2.\nAnswer: -407448*p - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -21 (c) 1 (d) -0.03 (e) -0.04 (f) -4 (g) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*n - 31 = 0, -k + 4*n = -2*k + 7. Let x be (129\/6)\/(9\/18). Let c = 12 + x. Calculate the highest common factor of c and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/26 or -77.08?\nAnswer: -77.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.35 - -0.95. Which is the smallest value? (a) -0.04 (b) 51\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 9:59 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*2*1*sqrt(11))**2 + 3 + -2.\nAnswer: 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4812 divided by 4.\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4537, -5, 4.\nAnswer: -4537, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 divided by 5.\nAnswer: -192\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1868.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2 - -53 - (4 - 7). What is the common denominator of 34\/5 and -1*(0 + 0) + t\/(-7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, -1, -18, 5, 3, -5 in decreasing order.\nAnswer: 112, 5, 3, -1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7286.627ug to milligrams.\nAnswer: 7.286627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22 - -21)*(11 + 0\/(-3)). Is y greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + (2 - -21 - 4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*(sqrt(5) + 1 + sqrt(5)) - (5 + -2*sqrt(5))).\nAnswer: -4 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 - 10936466*q + 10943038*q + 5*q**2 to the form m*q**2 + w + j*q and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 168700 from -0.4.\nAnswer: -168700.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*j + 0*j - 3*j)*(3*j - j - 4*j)*(-4 + 1 + 1)*(-4*j + 6*j + 2*j + 1).\nAnswer: -272*j**3 - 68*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**4\/24 + 37*f**2. Let b(g) = 22*g**2. Determine d(b(x)).\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8699 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*q + 13, 0 = -o - 2*q - q + 9. List the prime factors of (-15)\/(-2)*(o - (-1752)\/18).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1406051 is divided by 1692?\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 69*a**2 - 134*a - 5. Calculate o(-67).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 20*u**2 - 7*u - 71. Determine h(20).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 + 11*g - 2 - 29*g - 7*g**4 + 18*g as o*g**3 + n + p*g**2 + b*g + i*g**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 12*r**2 - 3*r + 3. Give u(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -595 - -592. What is the closest to 0 in 0.05, 4, m?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) -5 (c) -3 (d) -7 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x**2 + 11*x + 6*x - 18*x in the form l*x + h + u*x**2 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.62425mg?\nAnswer: 0.00000000062425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-73)\/140 - (-12)\/21. Let m(o) be the second derivative of -1\/2*o**3 - z*o**5 - 2*o + 0*o**4 + 0*o**2 + 0. What is the second derivative of m(u) wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-596)\/7 + 1 - (-10)\/70. Let k = 116 + u. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 400 - 1994\/5. Factor 2\/5*l**3 - 2\/5*l**2 - q - 2*l.\nAnswer: 2*(l - 3)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 2*o**2 + 4*o**2 - 6. Is i(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 689023072 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -1399*f**5\/60 - 241*f**3\/2 - 42*f**2 + 29*f. What is the first derivative of g(s) wrt s?\nAnswer: -2798*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, -2, 7394.3, 3 in descending order.\nAnswer: 7394.3, 3, 0.2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 8. Let z be y(5). Let a be z + 0 + 16\/6. What is the nearest to a in -1\/8, -1\/6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -3)*2 - -4. Let v(n) = -38*n - 110. Let k be v(-3). Suppose -5*h = -5, -b*j - 153 = -k*j + 3*h. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5.2. Which is the closest to -2? (a) 9 (b) y (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 251594181*h**2 + 84849487*h wrt h.\nAnswer: 503188362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**3 - 2*r**2 - r - 2. Let c be -4 + 2 - (-1 + -11). Suppose -c*u + 26 + 4 = 0. Let j(x) = 3*x**3 + 3*x**2 + 2*x + 3. Give u*f(p) + 2*j(p).\nAnswer: -3*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90943035.\nAnswer: 3, 5, 23, 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 2*v + 6, -370*v = -371*v - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -18329237 to the nearest ten thousand.\nAnswer: -18330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.4 take away -0.836?\nAnswer: -64.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11381 - 7206. List the prime factors of q.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 21*l**2 - 3*l**4 + 2*l + 2*l**2 + 18*l**2 + 4 to the form g + p*l**3 + v*l**2 + u*l**4 + i*l and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q + 2. Let n(v) = -227*v - 5. What is -n(d) - 3*y(d)?\nAnswer: 245*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1676, -3782, -5888, -7994?\nAnswer: -10100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(2\/7)*w))**(-4\/17)*w**(-9\/8)\/(w**(-4\/5)*w) assuming w is positive.\nAnswer: w**(-5987\/4760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 6, 0 = -q - 2*y + 5. Suppose t - q = -8. Let b(u) = u**2 + u - 2. Let h be b(t). Sort 4, 3, h in decreasing order.\nAnswer: 4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5475*b - 304403 = 2107*b + 89861 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.99 + -7.3. Let y = i - -0.91. Sort y, -4, 1, -1\/6 in descending order.\nAnswer: 1, -1\/6, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 25*m = -3672. Let s = 364 - m. List the prime factors of s.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**9\/168 - 2*u**6\/15 + u**5\/3 + 4*u**3\/3 - u**2 - 113*u. Find the third derivative of f(z) wrt z.\nAnswer: -360*z**3 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6715)\/(-102)*(13 + (-1330)\/100) - 3\/(-4)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d*(d**(-7)*d*d)\/d)\/(d**4\/((d*d**8*d)\/d)) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + u - 2 = -2*h, -2*u = 5*h - 4. Solve 4*i + h + 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011100011111011100001 + -1001010?\nAnswer: -101011100011111100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 18 + 19 = 2*s, -4*z - 16 = 4*s. What is the tens digit of z\/(-6)*192\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from kukkfufcffk?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16667\/932 - -31\/233. Let l = 5070 - 157141\/31. Calculate the common denominator of w and l.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3284147650?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p + 99. Let y be o(16). Solve y*z - 20 = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/202044 and -103\/2034?\nAnswer: 606132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-5))\/((-3)\/30). Suppose -o*j + 27 = -j. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*b + 3*b + 95, -112 = -5*y + b. What is the remainder when 45 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1176*b - 38*b - 804*b in the form c + f*b and give f.\nAnswer: -2018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 238.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37.14 - 0.14. Let g be 146\/24 - (-129)\/(-1548) - 8. Which is the biggest value? (a) -0.1 (b) z (c) 0 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-54))\/(10\/15).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29852327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*i = 5*k - 30, k = 4*i - 14. Suppose k*y + 3*y = -3*p + 7, -4*p - 39 = -3*y. Let v(t) = t**3 + 5*t**2 - 8*t - 5. What is the units digit of v(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -70*j**3 + 2*j**2 - 1. Let p(l) = -l**3 + 10*l**2 - 10*l + 6. Let d(q) = 1. Let c(s) = -4*d(s) - p(s). Let h be c(9). Is b(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 4*p**3 + 2*p**2 - 3*p**2 - 3 + p**3 as f*p**3 + s*p + k + v*p**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*b = -6283 + 1163 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/264*11)\/((-2)\/3861291) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 1.3, 0.4, 2, 0 in descending order.\nAnswer: 2, 1.3, 0.4, 0, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75 and -0.4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2099504?\nAnswer: 2, 11, 79, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*i - 124*i = -y, 0 = -3*i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177242298 to the power of 1\/3, to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 120925\/(-1382) + (-2 - (-15)\/2) + -6\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 29. What is the lowest common multiple of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -13*n + 8 + 49*n - 13*n - 22*n. Suppose -3*y - 12 = 0, 3*y + 19 = -5*j - 18. Let g be m(j). Solve -g*b - 3 = -0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6) - 1)*585\/(-6). Let k = o + -46. Suppose -4*l - 3 = -k. What is the highest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/7*2\/12*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-1 + (-1 + sqrt(19))*-2 + (1*sqrt(1216)*-1)**2)*6*5 + 4.\nAnswer: -150*sqrt(19) + 36544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3eae (base 16) in base 8?\nAnswer: -37256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 13*x - 22. Let d be r(6). Let u = d - -19. Calculate the lowest common multiple of 4 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2175 and -0.3.\nAnswer: 2174.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1399*j - 47532 = 1402*j. Let r = -119\/64815 - -4109102957\/259260. Let g = r + j. What is the common denominator of -89\/14 and g?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13046)\/(-363) + (-24)\/(-396). Suppose -2*o - 1080 = -5*o. Suppose o = 3*p + 2*p. Calculate the greatest common divisor of l and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159.3 + 162.3. What is the closest to t in -0.3, 3\/8, -2\/15, 14?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15c556 + 35?\nAnswer: -15c521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88055206*y**3 + y**2 + 636*y - 5636 wrt y?\nAnswer: -528331236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, a: 3, o: 3}. What is prob of picking 2 o and 1 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*o - 23*o + 29566 + 3544 = 146*o for o.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 3*v**2 + 4*v + 4. Let n be w(-2). Suppose 5*t + 5 = 0, 0 = -2*m - n*m + 5*t + 17. Solve -q = q + m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 924.3361um?\nAnswer: 924336.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*o - 3*t + 48925 - 48898, 5*o - 3 = -t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-2)))\/h**2)**(-1\/2) assuming h is positive.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + (-952)\/(-70))\/(-1 - (-952)\/910)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 9:13 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 37, 89, 181, 325, 533, 817?\n\"Answer: 2*q**3 + 2*q**2 + 4*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z**2. Let f(x) = -2*x**2 + 5*x + 5. Let a(c) = 2*c - 4 - c + c**2 + 0*c - 5*c. Let k(h) = -5*a(h) - 4*f(h). Give r(k(q)).\nAnswer: 72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*n - 1)*(689*n**4 - 24*n**3 - 530*n**4 + 26*n**3).\nAnswer: -318*n**5 - 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 17*g**2 - g + 3. Give f(-17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 6:29 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from osvlk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 9*l - 9*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -41422.3949 rounded to the nearest 100?\nAnswer: -41400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2 = -4*u. Suppose 2 = 2*w + 10, 3*x - u*w = 20. Suppose 2*i + 2*i - x = 0. Calculate the greatest common factor of i and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 4:28 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 131.243?\nAnswer: 131.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.52857 centuries in months?\nAnswer: 11434.284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 35*v**2 - 352*v + 306. Give g(43).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**4\/6 + 1288*g**3 - 3732624*g**2 - 2*g + 964. Find w, given that c(w) = 0.\nAnswer: 1932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0380100580903 + -2.\nAnswer: -2.0380100580903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4794, -9753, -15050, -20853, -27330, -34649, -42978?\nAnswer: -52485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -6*o + 8*o. Suppose -2*q + 3*q = -13. Let v = o + q. Solve -b = -v*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 548*72565\nAnswer: 39765620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/7 - 96*j\/7 - 684\/7.\nAnswer: 3*(j - 38)*(j + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -4*d**3\/3 + 11*d**2\/2 - 18*d. Let l(j) = -j + 2*j - 1 + 0. Let m(u) = -2*a(u) - 18*l(u). Determine m(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k + 22. What is the units digit of (14\/(-6))\/(k\/231)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from gbeigkb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71326?\nAnswer: 2, 19, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*n**5 - 2*n - 53*n**5 - 5*n wrt n.\nAnswer: 320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-342)\/45 + (10 - 2). What is the closest to 0 in a, -0.36, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (5 + -4 - 9) - 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3533 = -g, 7106 = -31*g + 33*g + 3*i. What are the prime factors of g?\nAnswer: 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2\/3 + 1420429*y\/3 - 710215\/3 = 0.\nAnswer: -710215, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**3 - 3*c**2 + 4*c + 12. Let i(h) = -h**3 - h**2 + h + 1. Let m(a) = -3*i(a) + q(a). Calculate the remainder when m(0) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 203 + -92. Suppose -12*w - v = -3831. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.28588427 - -13.45344473. Let s = 13.74 - c. What is s rounded to 5 decimal places?\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + (6 - 1) + 2 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*w**2 + 16*w**3 + 124*w**2 - 62*w**2 + 11*w**3.\nAnswer: 27*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - -1*sqrt(2736)*-2) + -2 + -3*sqrt(2736).\nAnswer: -48*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + -2)\/(-2*2\/(-272)). Round s to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -4 (b) 3\/32 (c) -22.71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119 - 59. Calculate the remainder when m is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 28 = -g - 7*v, 3*v = 2*g - 11. Suppose -3*y - 4*j + 25 = 0, -3*y + 11 = -2*y + 4*j. Let b = g + y. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-20 - 5052\/(-252)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-11\/3)*v*v))\/(v**16*v)*v\/(v*v*((v**(2\/13)\/v)\/v*v*v*v*v)\/v*v)*v**(-1\/22))**(-2\/15) assuming v is positive.\nAnswer: v**(15901\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 12 = 0. Suppose 0 = -45*k - 159 + 1734. Solve 5*i + k = -y*r - r, -2*r - 10 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 234041 (base 5) to base 3\nAnswer: 102212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.07, 1\/9, -0.033?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggdggeegggglggg. What is prob of sequence gl?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1\/12)\/(20\/((-840)\/(-14)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*r + 18. Let v = r - -11. Suppose -v*j = -4*j - 41. What is the remainder when j is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10452268?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10260976017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -697511 - -698176.537. Let t = l + -657.53718. Let o = t - 8. Round o to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12901854?\nAnswer: 2, 3, 7, 307187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007371536 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1 (b) -1402 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -18*a + 35. What is h(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 1088 = -1192. Let l(h) = 17*h + 15. Suppose -2*j = 4*k + 8 - 2, 0 = -2*j - 3*k - 3. Let n(a) = -j - 10*a + 2*a - 4. What is d*n(f) + 6*l(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18911 + -18910.8. Which is the nearest to -0.2? (a) o (b) -1\/5 (c) -0.29 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - -5. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*4\/2*-1. Suppose d = 3*p - 7. What is the highest common divisor of p and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*x = -58*x - 74. What is the remainder when x is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 662420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 414871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -0.707 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 4 (b) 0.02598 (c) -0.3 (d) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**5\/9 + 28*b**4\/9 + 400*b**3\/9 + 1136*b**2\/9 + 320*b\/3 = 0.\nAnswer: -4, -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 2.44, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-23)\/(-5) - 2\/(-5). Suppose -z*v - 4*q = -19, v - 4*q + 2 = q. Suppose u - v*u + 102 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-1))\/(((-1)\/(-1))\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 124 - 43 - 328*w - 38 - 43 as n*w + b and give n.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17565497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*t - t + 2947, -3900 = -4*p - 2*t. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 32 = -2*q, 2417*r + 2*q = 2420*r - 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**5\/120 - q**4\/4 + 25*q**3\/6 - 18*q**2. Let c(t) be the first derivative of x(t). Calculate c(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 20 = -6. Let f be (2 - -1)\/(g - 1 - 0). Suppose 3*h + 7*h = 0. Solve m = -h - f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/8 + 1\/4. Find the second derivative of 509 - 509 - s**q - 3*s wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -829*s**7\/7 - 2*s**3 + 27*s - 1333. Find the third derivative of t(r) wrt r.\nAnswer: -99480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 144 divided by -6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61176.12 months to years.\nAnswer: 5098.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 15 = -4*j. Which is the third biggest value? (a) -1\/3 (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-88)\/32 - -2)*-108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**5\/60 + z**4\/4 + 2*z**3 + 2983*z**2. Let f(l) = -5*l - 7 + 2*l**2 - 3*l**2 - 2 - 2. Calculate 6*f(b) + 5*w(b).\nAnswer: -b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 50061?\nAnswer: 50051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4986 - -88.0114. Let k = x - 1.51. Let g = 86.7 - k. Put 1\/17, 4, g in decreasing order.\nAnswer: 4, 1\/17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*q**2*y + 5*q**2 - 332*y - 14 wrt y?\nAnswer: 3*q**2 - 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -x, -2*k + 2 = -3*x - 6*k. Solve 2*c = -x*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(2448) - sqrt(2448) - sqrt(2448))**2.\nAnswer: 707472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-18) - (-7 - (-1478608)\/(-72)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 - -32. Let t = l - -39.6. Let z = -8.1 + 7.9. What is the third smallest value in z, t, -4, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - y = 12, 9*y - 8 = 11*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3\/13 + 2344*l**2\/13 - 321814*l\/13 - 324160\/13 = 0.\nAnswer: -1, 160, 1013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 50*f - 533. Calculate the remainder when 1 - -3 - 1*-301 is divided by v(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1500)*2)\/((sqrt(21)*2)\/sqrt(7) + sqrt(27)*2).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1370?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.504 - -0.37. Let a = g - -0.267. What is a rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 37?\nAnswer: 36.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 19 = q + 8, -11 = h + 3*q. Let l(a) = a**2 + 7*a - 21. Let i be l(h). Which is smaller: -30 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*r**4 + r**3 - r**2 + 7*r**3 + 4653*r - 9*r**3 + 4306*r - 1047*r wrt r?\nAnswer: -156*r**2 - 6*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*h + 126*h + 387*h + h**2 as y*h**2 + r + u*h and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 479\/1431 + -2\/1431. Let o = 13\/28 - -1\/28. Let j = -232 - -231.6. Sort -0.2, o, j, f in ascending order.\nAnswer: j, -0.2, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101102022100 (base 3) in base 15?\nAnswer: -40b69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2018 or 14117\/7?\nAnswer: 2018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**3 + 108*q**2 + 816*q + 7982. Solve t(u) = 0.\nAnswer: -68, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + ((-6 - 2) + 7 - -5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 127923903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywysllz. Give prob of sequence lwy.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2127105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -590 - -589.9. What is the third biggest value in t, -0.2, -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/11 + 401718*s\/11 = 0.\nAnswer: -200859, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 96486.97mm?\nAnswer: 9648.697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 4:33 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -11. Let u(j) = 5*j**f - 3*j - 4*j**2 + 9*j**2 - 10 + j**3. Calculate the remainder when 38 is divided by u(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89d (base 14) in base 11?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**3 - 884*t**2 - 506611*t - 58144426 = 0.\nAnswer: -211, 1306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39185674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -77, -75, -73?\n\"Answer: 2*z - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7}. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 13*g + 5*g + 10*g + 18*g**2 - 1739.\nAnswer: 18*g**2 - g - 1739","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 343310 + -3?\nAnswer: 343302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (273\/(-180))\/(-13) - ((-684)\/(-48) + -14)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d\/(d**6*d*d))*d*d*d)\/d**9)\/(d**(-11)\/(d*d*(d*d\/d**(-7))\/d)))**(-33) assuming d is positive.\nAnswer: d**(-792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 3. Let j be 54\/(-63)*(-14)\/(-2). Let t = -4 - j. Suppose t*y - 4*z = -42, -z + 43 = -3*y + z. Let m(o) = 5*o - 16. Calculate y*d(l) + 2*m(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/288 and -71\/491736?\nAnswer: 5900832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*a**2 + 16*a**2 + 11*a**2 + 19*a**2 + 8*a**3 + 18*a**2 - 17*a as z*a + q*a**2 + i + x*a**3 and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -1 + (-8 - -2) + -7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -220*d**6 - 3 + 42*d**6 - 58*d**6 + 3 + 628*d**2 wrt d?\nAnswer: -28320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 643c019?\nAnswer: 643c018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**2*i**2 + 12*f**2*i - 7*f**2 + 11*f*i**2 - 2*i**2 - i wrt i.\nAnswer: -6*f**2 + 22*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -57 (b) -4.57 (c) 1 (d) 2\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(21)*2)\/(sqrt(49)\/(sqrt(14)\/sqrt(2))) - (-4 + (-2*sqrt(2352)*4 - sqrt(2352) - sqrt(2352))))**2.\nAnswer: 2288*sqrt(3) + 245404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 2*n = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**34*o*o*o)\/o**(3\/16))\/(((o**44\/o)\/o)\/(o*o**(-9\/4)*o*o*o)) assuming o is positive.\nAnswer: o**(-55\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 234, 464, 738, 1080, 1514, 2064, 2754, 3608?\n\"Answer: 4*y**3 - 2*y**2 + 208*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - 6) + -3 - -2) + -2 + -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-68)\/(-12) - 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 57433 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + 2*q - 86*q**3 + 123*q**3 + (3*q + q - 2*q)*(-7 + 7 + 5*q**2) + (2*q + 2 - 2)*(-2*q**2 - q**2 + q**2).\nAnswer: 43*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000619 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = -2. Let b(l) be the first derivative of y + l + 1\/2*l**2. Determine b(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(729) - 1*sqrt(729)*-5) + sqrt(729)))\/(sqrt(192) - (2*sqrt(192) + sqrt(192))).\nAnswer: 63*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 48 = -17. Suppose 0 = -5*p - 25, -a - 3 = o + 3*p. Put o, 3, -2 in decreasing order.\nAnswer: 3, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 681*x + 107*x - 275*x.\nAnswer: -849*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f. Let j(q) = -q**3 - 10*q**2 - 11*q - 16. Let h be j(-9). Let r(k) be the first derivative of 17\/2*k**h + 0*k + 6. Determine r(g(t)).\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -1\/2, 5, 41, 0.311?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9 - 5*q + 4*q + 3*q + 2*q. Determine l(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - (4 + -16 + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/6*5\/(-180)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12140424 (base 7) to base 12\nAnswer: 4441b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*(i**(-1\/2)*i)\/i*i))**(-1\/10)\/((i\/i**(4\/23))\/(i*i**(-34))))**(-24\/5) assuming i is positive.\nAnswer: i**(93498\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 14*k = -27. Let m(i) = -4 + 6*i - 3*i + 0*i + 0*i. Let u(b) = -b + 1. Give k*m(l) + 12*u(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 305*k**2 - k**3 - 2*k**4 + 298*k**2 - 22*k + 308*k**2 - 1212*k**2 + 1 + 302*k**2 in the form u*k**2 + r*k + a + v*k**3 + z*k**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/((-4 - 6) + 8). Sort 3, t, 10 in ascending order.\nAnswer: t, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1060 - -59?\nAnswer: 10b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58086485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 10)*(3 + 0 - 5)*(-1 + 0 + 2)*(9*v**4 - 10*v**3 + 10*v**3).\nAnswer: 144*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssm when three letters picked without replacement from gsgmttttstgtgtgt?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 289 and 629.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*s + 4673 - 8238 = -4155 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 2*x - 6. Let a be j(-4). Solve -3*n - 5*g + 30 = -a*g, -5*n - 2*g + 35 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -6. Let c(d) = -d**3 - 13*d**2 + 13*d - 1. Let p be c(-14). What is the biggest value in p, 3, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (4*sqrt(204))\/sqrt(12))**2*-1.\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*d - 427*d - 2 = 12 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3585*n*y**3 - 41*n*y - 2*n + y - 5 wrt y.\nAnswer: 21510*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*b + 15 - 3, -4 = j - b. Put 2, j, 30 in decreasing order.\nAnswer: 30, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*q + 2*x, 2*x + 25 = 5*q - 0*x. Suppose -4*f + 181 = q*s, s = -3*f - 70 + 212. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 9:28 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-10) - 289\/(-85). Suppose -3*w + 230 = -v, 2*v + 1 = x*w - 305. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:38 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5278*t**2. Let f(j) = -3*j. Calculate f(b(h)).\nAnswer: -15834*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 270*(9860\/(-306))\/(-145).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*t**6*w**3 - t**6 + 2*t**2*w**3 + 18*t*w**3 + 2*w**2 wrt t?\nAnswer: 2280*t**3*w**3 - 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 - 88. What is the tens digit of 110\/c - (8 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 - -23.06. Let g = -22.3 + d. What is the closest to -1\/4 in -1, g, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12 = 3*m. Let b = 69\/22 - 40\/11. Is b > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -566721, -1133416, -1700099, -2266770?\nAnswer: -2833429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2735324, 2735307, 2735272, 2735213, 2735124, 2734999, 2734832?\nAnswer: 2734617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from tjtjjkzjjjtiz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 91*c - 1. Let b(h) = -42*h - 398. Calculate b(t(u)).\nAnswer: -3822*u - 356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t + 6*t + 0*t + 15*t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 46\/5 of a kilometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 47*x - 88. Let q be k(3). What is the greatest common divisor of q and 477?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-30.7\nAnswer: -15.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 1874475288?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -28*w + 27*w + 2 - 3. Let l(x) = -8*x**2 - 12*x - 10. Let v = 15 - 16. Let z(a) = v*l(a) + 12*m(a). Find the first derivative of z(n) wrt n.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -66. Suppose 3*j - 1245 + 369 = u. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131440.\nAnswer: 2, 5, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -26. Let p = h + -3. Is p at least -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5)*90\/(-3). Suppose 12 = v - 2*y, 92*v = 87*v - y + 38. Suppose -5*r = -n - v. Solve 4*q = -r*f + 4, -5*f + 1 = -4*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 434*g. Let b(d) = 12*d + 27. Determine b(q(c)).\nAnswer: 5208*c + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210945373, -210945361, -210945341, -210945313?\nAnswer: -210945277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 80 + -1770b?\nAnswer: -1765b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 47313\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.2, -84 in descending order.\nAnswer: 0.3, 0.2, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*4 - sqrt(45))\/(sqrt(9) - sqrt(243)\/sqrt(3)).\nAnswer: -23*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uauuauvuupvuuuppa. What is prob of picking 1 u, 1 p, and 1 v?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbbb when four letters picked without replacement from hbbhbbbbhh?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*2\/12*2. Let t be f*35\/(-42)*6\/(-35). Find u, given that 0 - t*u**3 + 6\/7*u**4 - 6\/7*u**2 + 3\/7*u = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54816.62 centuries in decades?\nAnswer: 548166.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 4320820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0.1, -15, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(2816)*6)\/(-6*(sqrt(196) - (sqrt(196) + (sqrt(196) - ((-2*sqrt(196) + sqrt(196))*5 - sqrt(196)))) - sqrt(196))))**2.\nAnswer: 44\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 3*q. Let u be h(3). Let b = u - -2. What is the third derivative of -2*m**2 + 5*m**b - m**5 - m**2 wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 881*n - 902*n. Solve 2*p + 17*s = 15*s - 6, p + 5*s + 3 = n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-29\/5)*n**(1\/31))\/(n**(2\/7))**31 assuming n is positive.\nAnswer: n**(-2197\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 10*d + 187. Let b(w) = d*w - 3 + 4 + 0. Let a(j) be the first derivative of 2*j**3\/3 - 3. Determine b(a(n)).\nAnswer: 34*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001111101101010010110 + -10?\nAnswer: 10000001111101101010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**3 + 17*l**2 + 36*l + 675. Determine c(-9).\nAnswer: -1188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5782?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-324)\/30)\/((-281)\/(-1405))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -126 and -1301896.\nAnswer: 164038896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -229051872\/23 = -9958778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3695287 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.004 - -20.004. Let k = -20.5 + b. What is the nearest to -3 in 3\/5, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 190 + 200 = 0. Let c = -183 + 1475\/8. Find the common denominator of (-1030)\/36*39\/h and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(8\/(-4)) - 1. Put h, -3, 2 in increasing order.\nAnswer: -3, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -128102?\nAnswer: -128105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-2 - (3 - 17)) + 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323148 = 60*m - 72*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 815 divide 1810930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6156447, 12312886, 18469325, 24625764, 30782203, 36938642?\n\"Answer: 6156439*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00042315 to 6 dps.\nAnswer: -0.000423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - z + (1 + 1 - 5)*(z - z - 2*z))*(-2*z**3 + 0*z**3 + 4*z**3).\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:04 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 9*t**2 + 5*t + 12. What is y(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 2499 + 741. Let j = 726 - g. Suppose -5*n = 4*y - 809, -y = 2*n - 4*n + j. What is the highest common divisor of 23 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -376 - -379. Suppose n*j + 3*h = 3 + 57, -4*j + 3*h + 52 = 0. What is the smallest common multiple of j and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Let r(u) = -7*u**2 + 34*u - 32. Let b be r(16). Let h = 16639\/13 + b. Is k bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77452?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 96 = 6*p. Suppose 2*i = -0*z + 4*z - p, 0 = -z - i. Suppose 17 = z*w - 2*m - 15, -4*w + 24 = 2*m. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/((n**(1\/3)*n)\/n)*n)))**(-1\/35)\/(n**1*n*n\/(n*(n**(-3\/4)*n*n)\/n)*n))\/((n**(2\/7)*n)**(-43)\/(n\/(n**3\/n)*(n**1\/n)\/n)) assuming n is positive.\nAnswer: n**(4241\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-6))\/1*(-690)\/(-460).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8288 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436868, 873985, 1311102, 1748219, 2185336, 2622453?\nAnswer: 3059570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-4 + -1 + 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/3367 or -717.7?\nAnswer: -717.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 994836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/6 - 8*o**2\/3 - 29*o\/6 - 7\/3.\nAnswer: -(o + 1)**2*(o + 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 + 16*v - 8. Let b be s(-6). Suppose 4*d + 83 = 3*c - 2*c, 0 = -d + b. Let g = -23 - -34. What is the greatest common divisor of g and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**3*h\/h**(-1\/8)*(h*h**0)**(1\/32)*(h**5*h*h*h*(h*h*h*h**2*h)\/h)**(8\/3) assuming h is positive.\nAnswer: h**(3727\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 439411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -490 - -494. Solve -3*r - 5*n + o = 0, -12*r + 4*n - 10 = -11*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 - 14192*c - 480189. Give b(-34).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 1199*s + 12 = -601*s - 601*s, 9 = 5*a + 3*s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -63627 greater than -63627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (107 + 0)\/((-2)\/(-6)). Suppose 192*d + 10798 + 7289 = 3111. What is the tens digit of (-3)\/(k\/d - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 less than -67086713166?\nAnswer: -67086713144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - -1. Let s = -13 + u. What is the highest common factor of s and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.02 + -3. Let m(y) = -29*y**2 - 356*y + 1885. Let x be m(4). What is the nearest to x in w, 2, -0.5, 5\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -39. Solve -m + 30 = -2*j + v*m, -m = -j - 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 839839 + 1806943. Let h = 3726782 - o. Round h to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45 - -27) + 16)*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340, -332, -310, -268, -200, -100, 38, 220?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 74412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 64716224.7 to the nearest one million.\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**5\/15 - 814*s**4\/15 + 2416*s**3\/15 + 3232*s**2\/15 = 0.\nAnswer: -1, 0, 4, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -3*q. Suppose q*w = 8, -534 = -3*u - u + w. Is u a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-14 + (14 - (-2 - -9))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1569*g - 1560*g - 1217439. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1262 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -1127937.\nAnswer: -1127936.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 8) in base 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d - 1 - 3*d**4)*(2 - 2 + 7*d).\nAnswer: -21*d**5 - 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 10. Let t be a(9). Put t, 0, 3 in ascending order.\nAnswer: t, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 4*j**2 - 4. Let t be k(-5). What is the greatest common factor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 3. Let c(s) = s. Let f = -137 + 136. Give f*y(h) + 4*c(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1844402*a**6 - 273*a**2 + 4*a + 378 wrt a?\nAnswer: -221328240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -115?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 54794+173686\nAnswer: 228480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3259556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/j**(-5))*j\/(((j*j**1\/j)\/j)\/j)*j**4*j*j**(-1)*(((j**4\/j)\/j)\/((j\/(j**(1\/4)\/j))\/j*j))**(-22) assuming j is positive.\nAnswer: j**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 79*v = -6424. What are the prime factors of v?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3000\/5000)\/((4\/(-48))\/((-10)\/(-4)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -2 (c) -5\/37 (d) -280\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4729354673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864613113 to the power of 1\/2, to the nearest integer?\nAnswer: 43181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m\/m**(-5)*m)**(-4))**(5\/3))**(-8\/13) assuming m is positive.\nAnswer: m**(480\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -276, 0.3, 1\/19, 0.4?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 take away 2.0460476?\nAnswer: -24.0460476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.022279 * -28\nAnswer: 0.623812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p + 21. Let s(m) = -3*m - 19*m + 5 - 27*m + 48*m. Determine 2*o(l) - 9*s(l).\nAnswer: 3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29296 (base 13) to base 9.\nAnswer: 127101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 + 10*n**3 - 27 + (-567 - 572 + 1135)*(-3*n**3 + 2*n**3 + 2*n**3).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 949*p - 948*p = 14473. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 480582656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d**3 + 4*d**2 - 4*d - 11. Let u(s) = s**3 - 4*s**2 - 11*s. Let g be u(6). Let o(k) = 4*k**3 + 2*k**2 - 2*k - 6. Determine g*q(p) - 11*o(p).\nAnswer: -2*p**3 + 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(152)\/(1*sqrt(8))*4.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 2\/5, 0.1 in descending order.\nAnswer: 32, 2\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 8880700 to the nearest 100000.\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 27?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28.6 - 29. Let d = 21.6 + -22. Let n = -0.1 + d. Which is the biggest value? (a) z (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3 + 12*x**2 + 3*x - 18 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/7 (b) 3 (c) 0.1 (d) -5 (e) -122\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9957561 and 117.\nAnswer: 388344879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2344879, 4689759, 7034639, 9379519, 11724399, 14069279?\n\"Answer: 2344880*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -213, -574, -1195, -2142, -3481, -5278, -7599?\nAnswer: -10510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**2*h**3*k - 16177*g**2*h**2*k + g*h**3*k + g*k - 3*h**3*k - 2320*h**2*k wrt g?\nAnswer: -8*h**3*k - 32354*h**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.84 + 3.7427. Let n = y - -40.1973. What is the third biggest value in 2, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 0.3, 8\/5, 11, -3 in descending order.\nAnswer: 11, 8\/5, 0.3, -0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*b - 62*b = 4. Let y be b - (0 - -2 - 36600). Round y to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 572?\nAnswer: -114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 23887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 - 230*v - v**2 + 2*v**2 - 37*v - 74*v - 59*v as t + b*v**2 + n*v + k*v**3 and give n.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66088 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*v - 22 = 0, 4*v = -7*w + 12*w - 110. Let j(s) = -2*s**2 + 47*s - 57. Let i be j(w). Is 11 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-18))\/(3*14\/63).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003765814 rounded to seven dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-14))\/(34\/(-119)) + 1152\/392?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 26*k + 2. Let z(t) = 55*t**2 - 2288*t - 176. Let m(r) = 264*x(r) + 3*z(r). Let q(y) = -y**2 + 4. Give q(m(f)).\nAnswer: -27225*f**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 2*i. Let j(r) = 40*r**2 - 50*r. Let u(a) = 25*f(a) - j(a). Let l(g) = -8*g**2. Give -9*l(b) + 5*u(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 1. Let t(n) be the second derivative of 5*n**3\/3 - 6*n**2 - 4*n. What is 12*p(w) - t(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -7. Let f = x + 2. Let o = 227\/22 + -21\/2. Put f, 2, o in increasing order.\nAnswer: o, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1457*c**4 + 41*c**4 + 1738*c - 2593*c wrt c?\nAnswer: 17976*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18 + (0 - -1) - -2. Let c = 29 + 18. Let b = c - m. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2266*i**3 - 70*i**2 - 1868529.\nAnswer: -6798*i**2 - 140*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 611*n**6\/30 - 55*n**5\/4 + 342*n**2 - 2*n. What is the third derivative of t(x) wrt x?\nAnswer: 14664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from mgzqmuj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023154496 to the power of 1\/4, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2543, 2705, 2857, 2999?\nAnswer: 3131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2\/3 - 130612*f\/3 + 914431 = 0.\nAnswer: -130633, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901413242.\nAnswer: 2, 15287, 29483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-48)*8\/2*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -1122 - 1146. Suppose 3*r + 3*r = y. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3861?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l - 2. Suppose 2*v - 20 = 4*d, 5*v - 4*d - d = 40. Let m be v + (-160)\/25 - (-12)\/5. Give j(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + (-2*-2*sqrt(1300) + sqrt(1300) - sqrt(1300)) + -1*1*3*sqrt(1300) + -3))**2.\nAnswer: 32500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*d + 10 = -18, 2*j + d - 13 = 0. Suppose 0 = 2*i + 3*g - 10, -j*g - 18 = -4*i - 14*g. Solve -i*a - 6 + 8 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54974515?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0 = 60. Let r = q + -5. Suppose 4*v - v + r = 0, -4*v = 2*u - 486. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 185 - 100. What is the greatest common divisor of 34 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 7*d + 56, -3*i + 4*d - 725 + 757 = 0. Factor -4\/7*q**3 + i*q + 6\/7*q**2 - 2\/7.\nAnswer: -2*(q - 1)**2*(2*q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -746, -2978, -6698, -11906?\n\"Answer: -744*n**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 37. Suppose 0 = -2*a - 7*z + 10*z + 802, 5*a - 3*z - 1987 = o. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i**2 + i**3 + 2*i - i - 3*i - 5. Give f(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 21*c**3\/2 + 37*c**2\/2 + 12*c + 2.\nAnswer: (c + 1)*(c + 2)**2*(4*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/23)\/(b**(-3\/8)*b))**3 assuming b is positive.\nAnswer: b**(-417\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -435*w**3 + 108*w**2 - w wrt w?\nAnswer: -2610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 191 and 1146.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 62651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 3, -63, 574 in decreasing order.\nAnswer: 574, 3, -63, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 14309363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10283 + (6\/(-10) - 427\/305)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36641, -36635, -36629, -36623?\n\"Answer: 6*d - 36647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*q - 24, -q + 7*b - 13 = 3*b. Let a be 2674\/q - (-4)\/(-20). Let n = 1056 + a. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 4, -2\/3, 0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbobvkbbbvbrk. Give prob of sequence ko.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31851?\nAnswer: 3, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14 + -14 - (0\/(-2) - 4). Suppose s - v = 2*w, 3*w + 7 - 1 = -5*s. Suppose i - 16 = -s*i. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16753751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3741766916?\nAnswer: 2, 935441729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13645*y**3 - 6*y**2 + 4*y + 840 wrt y?\nAnswer: -81870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/490 and 197\/(-16) + 49\/(25 + -18).\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*i = -z - 199*i - 207, -2*z - 2*i - 18 = -6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/63377343 and -16\/119.\nAnswer: 443641401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 7*n**2 - 8*n - 9. What is c(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 58 (b) -685 (c) 0.4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 3 + 3*p**2 - 4*p**2.\nAnswer: -6*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18524 + -148.74476. Let w = l - -149. Sort -2\/9, 0.3, 3, w.\nAnswer: -2\/9, w, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -90848, -90960, -91264, -91856, -92832, -94288, -96320?\n\"Answer: -16*o**3 - 90832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -48a4 (base 12) to base 7\nAnswer: -32605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 672*y + 672*y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2331?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w - 31. Determine l(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2680 and 609700?\nAnswer: 1219400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v - 7. Let b be x(9). Suppose 0 = 3*o + a - 14, a + b = 3*o + 7. Suppose 0 = 2*w - o - 10. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t - 4*t + 1 + 6*t)*(9 - 59 + 25) as r*t + d and give r.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -14 - 1. Let v be (1 + 0)\/(d\/130). Is 3 a factor of (-2)\/8 - v\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.5. Suppose 4*v = 4*h + 20, 5*v - 2*v + 2*h = 0. Let x = 8.29 + -10.29. Which is the second biggest value? (a) v (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and 2.363.\nAnswer: 61.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/7 - 646\/14. Let h be 8\/28 + o\/14. Calculate the remainder when 5 is divided by 1\/1 + (h - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2)*w)**(-1\/34)*((w\/(((w\/(w**(-5)\/w))\/w)\/w))\/w)\/w**(-6))\/((w**(-1))**0*(w**1)**48) assuming w is positive.\nAnswer: w**(-3197\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 2\/5, 3, 14, -45.227?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(208)) + 5 + -1*sqrt(208).\nAnswer: -12*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38086409?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/55 and -48\/25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -104, -3 in descending order.\nAnswer: 3, -3, -5, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 251 - -1?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 4*s + 4*s)*(-2 + 0 + 3) + 257*s - 612 + 612 + 0 + 0 + s.\nAnswer: 257*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -229, -240, -251, -262, -273?\n\"Answer: -11*r - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3651, -7301, -10951, -14601?\n\"Answer: -3650*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcqe when four letters picked without replacement from qeqc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 160*h - 340*h - 25 = -178*h, -2*w - 3*h = -1 - 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1ca5 + 323?\nAnswer: -1982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -22?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z - 6*z**2 + 11*z**2 - 6*z**2. Determine g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1383, 5581, 12559, 22317?\nAnswer: 34855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 28495493.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*g - 52 - 936 = -24*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1449231 is divided by 1475.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 6086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-72))\/(1\/1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -1011011101011?\nAnswer: -1011011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 1125?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 2:53 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -10447*q + 10416*q - 183, -4*q - j = -18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.76266 + 0.41353. Let z = 58.35 - 57. Let f = z + k. Round f to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 4*l + 28, 0*j + 4*l = -2*j + 16. Let v = -6 + 3. Let d = 165.2 - 165. Which is the closest to d? (a) v (b) j (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*d + 8. Let v = d + 3. Solve w + 4*z - 2 = v, 3*z = 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 6. Let a be v(-9). Suppose -t - 3*u - 1 = a*t, 3*t + 32 = 4*u. Calculate the remainder when -3 + -14*(t + 0) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58 + 48 - 26)*(-k - 2*k + 4*k)*(7*k**3 + 203 - 203) to d*k + h*k**3 + z*k**4 + f*k**2 + i and give z.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4308 is divided by 61.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*1\/(-6) + (-1093)\/(-426). Let b = -8051\/426 + d. Calculate the common denominator of -76\/39 and b.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 0. Suppose r + r + 2 = -z*x, 5 = -r. Let b = x - 4. Solve b = m + 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521 divided by 5?\nAnswer: 1521\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96532, -385996, -868442, -1543876, -2412304, -3473732, -4728166?\nAnswer: -6175612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**3 + 6*t**2 - 6*t**2)*(-3 - 2 + 4).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (50\/(-4))\/(35\/12*(-148)\/1036). Solve -11*n + g = 74 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 f when three letters picked without replacement from {q: 2, v: 1, f: 1, m: 4, p: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*j**3 + 4*j**2 - 1 + 10*j**2 - 18*j**2 to the form q*j**3 + n + d*j**2 + f*j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 + 11. Suppose j + 77*j = 312. Suppose j*o - w = 2*o. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i + 97 = -17 - 110 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + -260993?\nAnswer: -2609a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -28*u**3\/3 + 3*u**2\/2 - 538*u + 158. Find the first derivative of b(o) wrt o.\nAnswer: -56*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u*u\/(u*u**(-1\/6))))**(18\/13)*(u*u**(-8))\/(u\/u**0) assuming u is positive.\nAnswer: u**(-71\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1340)\/8 - 2\/4. Calculate the common denominator of (-345)\/w*(-2)\/5 and (155\/140)\/(24\/(-96)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3 + -2 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25629*k + 10 = 25628*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101744 to the power of 1\/2, to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-6)*(-6)\/(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 1:29 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(425) + -3 - 5*(2 + sqrt(425)) - (sqrt(425) + (-3*2*sqrt(425) - sqrt(425)) + -1*(2 + sqrt(425)))))**2.\nAnswer: -360*sqrt(17) + 3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -10492799 smaller than -10492803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 8. Let d = -25 - -19. Let n be s(d). Solve 5*r - 5 = n*x + 5, 5*r + 10 = -2*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 3*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7491 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1460771643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 695 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 5, -24, -322 in increasing order.\nAnswer: -322, -24, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9)\/(g**28\/g*g*g)*g**8*g*g*g\/(g*g\/(g*g**(-3\/8)\/g)) assuming g is positive.\nAnswer: g**(-235\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/45)\/((-6)\/(-1188)*-3))\/((-4)\/(-20)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 29 + 113 = -2*z, 5*z = 15. Calculate the remainder when y is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 23716600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 49, 97, 145?\n\"Answer: 48*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*a**2 + 0*a + 1\/4*a**4 + 5\/4*a**3 + 0.\nAnswer: a**2*(a - 1)*(a + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1700.6208 * -0.4.\nAnswer: -680.24832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2412\/32*24\/(-36)*(-228)\/171?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (2 + 0))*0. Let r be i\/((0 - 3)\/(-3)). Solve -4*v + 8 = -r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v - 21*v**2 + 778*v**2 - 27*v + 17*v**3 - 15*v**3.\nAnswer: 2*v**3 + 757*v**2 - 46*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p + p - p)*(-3*p**2 - 3*p**2 + 5*p**2)*(68 + 25 + 536) to the form w + g*p + m*p**3 + l*p**2 and give m.\nAnswer: -2516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5))**47\/(k\/k**(2\/5))**(8\/7))\/(k**(-4)\/(k**(-3)*k))**(-6\/5) assuming k is positive.\nAnswer: k**(110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmk when three letters picked without replacement from kdmkkpdmmk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 25 + 42 = 0. Calculate the remainder when 82 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.6868 - -0.0768. Let v = f - 0.14. What is v rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -40*q - 83. Let y be c(-2). Put y, 6, -2, -5 in ascending order.\nAnswer: -5, y, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2*(-96)\/18. Let s be (-6)\/(-4)*16\/p. Suppose 5*k - k - 88 = -4*d, 0 = -s*d - 2*k + 70. What is the remainder when 50 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 + -1 - (-4 - -11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1390?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1326, 2637, 3964, 5307, 6666, 8041?\n\"Answer: 8*m**2 + 1287*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*r + 13\/4*r**3 - 1\/4*r**5 + 5\/4*r**4 + 7\/4*r**2.\nAnswer: -r**2*(r - 7)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.25, -2\/15, -0.2, 0.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.6. Let u = -8 + 3. Let s = u + 5.5. Which is the second smallest value? (a) s (b) 1\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1410*c**3 + c**2 - 2*c. Is h(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5.3 + -443\nAnswer: -437.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, t: 1, k: 4, x: 5}. Give prob of picking 2 x, 1 t, and 1 k.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12823763723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -50*m. Let w(i) = -11*i. Let l(c) = -14*w(c) + 3*y(c). Let x(o) = 21*o**2. Calculate x(l(s)).\nAnswer: 336*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b + 5. Let p(x) = 31*x - 63*x + 33*x + 1. What is -4*p(w) + t(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 9:34 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 168*k + 13553. Determine l(-81).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, s: 3, g: 1}. Give prob of sequence gss.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 74.92606ml?\nAnswer: 0.07492606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 13142333?\nAnswer: -13142321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8134177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 3:13 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(-10))\/(1\/2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 28\/20)\/(1\/(-15)). Suppose 0 = j*o - 211 - 725. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177632 or -177635?\nAnswer: -177635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**4 + 2*u**3 - 2*u**2 - 2*u - 3. Let n(m) = -m**4 - 5*m**3 + 5*m**2 + 5*m + 7. Let c(a) = 5*i(a) + 2*n(a). Find the first derivative of c(z) wrt z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -10. Suppose r = r + 5*r. Suppose -y - 12 = -5*y, 2*t - y - 109 = r. Calculate the highest common factor of m and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + ((5 + sqrt(98))*-4 - sqrt(98)) - (-2 + sqrt(98) + (-2 + sqrt(98) - sqrt(98)))*4))**2 + 3.\nAnswer: 6300*sqrt(2) + 198553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 4 + ((-4)\/(-26) - (-225)\/6825*2422)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -767*f - 95509 = 2416*f + 4825 + 7888 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 4*h + 52860667, g + 2*h - 6*h - 10572143 = 0. Let i = 3627869 + g. Suppose -f = f - i. Round f to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n**2 - 2. Let f(s) = -8*s + 44. Let p(d) = 3*d - 16. Let z(i) = -4*f(i) - 11*p(i). What is x(z(v))?\nAnswer: -10*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 1. Let s(c) = 319*c - 218. Suppose 330*n = 327*n + 3. Let g(p) = n*s(p) + 3*v(p). Find the first derivative of g(b) wrt b.\nAnswer: 316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5 + 434*l**4 + 36207*l**3 - 3333794*l**2 - 200688352*l - 197318784 = 0. What is l?\nAnswer: -232, -47, -1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhgggmhhgghhgghhh. What is prob of sequence mhh?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.33 + 0.072.\nAnswer: -0.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4100*h*o + 5*h + 1590*o + 914429 wrt o?\nAnswer: -4100*h + 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 12455937.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5*q - 1162, q - 3 + 4 = 0. Suppose 0 = 12*g + 28 - 4. Put -5, b, g in descending order.\nAnswer: g, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)*5)\/(sqrt(16)\/sqrt(2)).\nAnswer: 25*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + 9. What is the third derivative of -d*m**3 + 6*m**2 - 97*m + 97*m wrt m?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 0 - 7) + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = z + 6, 6*x + 26 = z + 9*x. What is the highest common factor of 1430 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 2*l - 290 + 286, 6*y - 2*l = 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 7*m**2 - 7*m + 1. What is n(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 21 = 3*b, 0 = -4*n + b - 13 + 30 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3587 + 3586. Which is the biggest value? (a) h (b) -39\/19 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57889 + 57946. What is the least common multiple of j and 36*(-1 - 3\/(-2))?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 12 = -0. Suppose g = r + r. Suppose 6*u = r*u + 57. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(3*b + b - 9*b).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 4*m - 2*y + 32 - 11, -17*m = -20*m - 3*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -15*k. Let v(p) = 124*p. Determine l(v(o)).\nAnswer: -1860*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)\/a**(5\/6))\/(a*a*a*a*a**(-2))**18 assuming a is positive.\nAnswer: a**(-269\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*m = 645 + 950. What is the third derivative of -9*h**2 + 5*h + 4*h**3 + m*h**2 + 9*h**2 + 251*h**3 wrt h?\nAnswer: 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -674*0.0138\nAnswer: -9.3012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/66)\/7*((-99)\/(-3))\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 18 = m, 2*m = -3*m + 3*d + 122. Suppose m = 4*l - 30. Let u = l - 5. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 4 = -2*y - 3*s, 0 = 3*y + s - 71. Suppose y*t - 5*t - 200 = 0. Solve 0 = -3*v + t - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -251*x**2 - 171936*x - 686. What is u(-685)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.561 + 0.061. Sort -2, c, 0.4, -3 in increasing order.\nAnswer: -3, -2, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*u - 5*v - 75, -u = -2*v - 19. Let o = -12 + 5. Let t = o + u. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 7)*4\/8. Let l(z) = -z**2 - z + 3. Let b be l(-3). Let t be 2 + c\/b*0. Solve -i - 4*v = -4*i - 26, -t*v = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1335 by -89.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 + 156. Factor -31759 - w*k**2 + 31759 - 48*k - 3*k**3.\nAnswer: -3*k*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**4\/4 + j**2\/2 - j - 14. What is r(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 3*o - 3*o)*(6 - 22 - 7)*(11 - 28 + 1).\nAnswer: 368*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10534, 21194, 31854, 42514, 53174?\nAnswer: 63834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 577391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26.8665 and 2?\nAnswer: 53.733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 10*m. Let z(y) = -2*y**2 + 5*y. Calculate -6*v(r) - 11*z(r).\nAnswer: 4*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2.299296 + 1462\nAnswer: 1464.299296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3384 + -3370. Put 18, 1, h, -5 in decreasing order.\nAnswer: 18, h, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) - (-35)\/45. Suppose -3 = -b + v. Suppose 3*j - 5*x - 16 = 37, -4*j = b*x - 28. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 70280353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23049.\nAnswer: 3, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -614, -1075, -1536, -1997, -2458?\n\"Answer: -461*g - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.09 and -2552.1694146975?\nAnswer: 2552.0794146975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*1*929\/1858.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/4305 and (-60)\/(-270)*-36*(-1)\/(-30).\nAnswer: 4305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*h + 252 + 207 = 8*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-13 - (-9 + 3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**5\/15 - i**4\/3 + 2*i**3\/3 + 30*i**2. Determine h so that f(h) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + -0.08. Let z = m + 0. Let k = 30.59 - 34.59. Put 2\/5, k, z in descending order.\nAnswer: 2\/5, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 952\/(-204)*3\/2 - -1345. Calculate the greatest common factor of 18 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -43377, -173493, -390313, -693801, -1083921, -1560637, -2123913?\n\"Answer: 6*k**3 - 43388*k**2 + 6*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l + 54 - 60 + 4. Suppose 8 - 2 = 3*n. What is the lowest common multiple of p(n) and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvlevyyeeyydlddyve. What is prob of sequence dll?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/29 + 2558\/145. Are j and 16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74616449 is divided by 2572981?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -91, -191, -331?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17488 - -34979\/2. What is the third smallest value in 3, d, -3\/4, -3, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoohhhxoo. Give prob of picking 2 h and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(2\/3))\/(-114*(-80)\/267520).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101000 - 10011100110110?\nAnswer: -10010100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -636*y + 2256 + 288 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113735 or -568681\/5?\nAnswer: -568681\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -185321, 8 in ascending order.\nAnswer: -185321, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16304 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 + 35?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 28. Let z be t\/(-6)*(-6)\/(-1). Let a(j) = -j**2 + 17*j - 20. Let q be a(z). Solve q = -5*d - 0*d, f = 4*d + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - (sqrt(405) + -2 + sqrt(405)))**2 - 1*sqrt(245))*4 + (sqrt(240)\/(sqrt(4)*2))\/(sqrt(1728) - sqrt(1728)*2).\nAnswer: -4129*sqrt(5)\/24 + 1636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.3 + 0.7. Let u = -7\/4 + 65\/28. What is the closest to -1 in u, r, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6 - 4 = 0. Let q(v) = v + 5. Let g be q(n). Let s be (g + -1)*(-30)\/12*2. Solve -s*u = 30 - 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -41069, -82156, -123243, -164330, -205417?\n\"Answer: -41087*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28182.\nAnswer: 2, 3, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 0*u + 9. Let n(x) = 2*x**2 + 8*x - 17. Let g be n(-7). Suppose -g = k - 6*k. Let m(w) = -4*w - 4. Let i(p) = -2*p - 2. Give k*i(d) + u*m(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/300 and -127\/240.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - k - 1. Let m(a) = -150*a**2 - 120*a - 120. Calculate -120*g(q) + m(q).\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354*q - 288*q - 44484 = 0. What is the remainder when q is divided by 73?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -759 - -1257. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4 - 11*j**3 + 33*j**2 - 37*j + 14 = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 - 5*b - 4. Let m be o(-1). Let k(n) = -4*n**3 + 2*n**2 + 2*n + 3. What are the prime factors of k(m)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by -5?\nAnswer: 84\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17859 or 17215?\nAnswer: 17215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*n - 14452 - 20391 = -28213 for n.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 121730328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5649 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -10. Let j = l - 34. Let m = 24.00022 + j. What is m rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 10:06 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 3 - 3*h + 3 + 9*h**3 in the form r + v*h + l*h**3 + k*h**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + -1201?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -318, -335, -352, -369, -386?\n\"Answer: -17*d - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (804\/7)\/6 + 66\/77?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7824 - -7823.7. Suppose h - 6*h = 0. Which is the third smallest value? (a) s (b) h (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 84*y + 1 - 5 - 107*y. Let b = 3 + -7. Let x be i(b). Calculate the greatest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 - 4)*(0*q - 4*q + 5*q)*(-3 + 5 + 6) to b*q + f and give b.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**2. Let l(j) = 123 - 55 - 58 + 7*j. Calculate n(l(t)).\nAnswer: -343*t**2 - 980*t - 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -35, 5, -11, 0 in decreasing order.\nAnswer: 5, 4, 0, -11, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 870 - 712 = 69*m + 2987. Is -37 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 854 a factor of 65100420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 327477*m + 306674*m + 1.\nAnswer: -20803*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - a**3 - 2*a**2 - 8 + 27*a**3 + 8 + (2*a**3 - 3*a**2 + 3*a**2)*(4 - 2 - 3) - 7*a**3 - 6*a**3 - 3*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -99548*a + 195072*a - 99087*a as f*a + n and give f.\nAnswer: -3563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 10*x**2 - 12*x - 25. Let l be q(-9). Let y be (-205)\/l + 1\/2*1. Let u = 12 - 18. Which is the biggest value? (a) u (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 4)\/((-1)\/(-5)). Let c(a) = a - 1. Let n be c(v). Suppose -n*l - 64 = -4*o, o - 32 = 3*l - 8. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**4\/12 + o**3 - o**2 + 67*o. Calculate z(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -91?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 207 - 26. Suppose 0 = -9*h + q + 449. What are the prime factors of h?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132623 (base 7) to base 5\nAnswer: 1300012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 14996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 136, -0.4, -4, 2\/3, -2, 1\/4 in decreasing order.\nAnswer: 136, 2\/3, 1\/4, -0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 369 = 170. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - -3) - (4 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - (sqrt(65)\/sqrt(5) + 5)) + -3 + -4)*2)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 63\/35*5\/3. Solve -3*l**5 + 1 + 4*l**5 - 2*l**j + 0*l**4 - 2*l**2 + 1750*l + l**4 - 1749*l = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(1216) + -5 + -1*sqrt(19))**2 + ((sqrt(95) + -1*sqrt(95) + sqrt(95))*-6)\/(-2*sqrt(405)).\nAnswer: 1531*sqrt(19)\/3 + 16548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35304a1 (base 12) in base 14?\nAnswer: -1512c77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 326.3 and 17.\nAnswer: 5547.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/11 - 1\/(99\/(-5364)). Suppose 0 = 2*l - k + 2 - 46, -4*l = 5*k - 116. What is the highest common divisor of l and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 7:45 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1381 to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -3 + 8 - 5) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1425242 and 4264?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1266 by 633.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 796, -2934 in increasing order.\nAnswer: -2934, 3, 796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + 405 - (-8 + 5 + 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -37\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -102586 + 2?\nAnswer: -102584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 516 and 288.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x + 13. Let c be p(6). What is the nearest to 1 in -3, c, -92, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269, 266, 263?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -119*u**6\/40 - 323*u**3\/6 + 1846*u**2. Differentiate d(h) with respect to h.\nAnswer: -1071*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153 + 1193*p - 90 - 63 to k*p + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from cqquqqqqqqpqqqupquq?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*w + 59, -k - 4*w + 24 = -12. Let j be (-2 + k)\/(6\/40). Suppose 4*z - j = -z. Calculate the highest common divisor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1593 and 7699833.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 255 + 4*c - 126 + 3*c**2 - 127.\nAnswer: 2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nen when three letters picked without replacement from enneenenqne.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - -2*(-14)\/(-16). Let b = -80 + 242\/3. What is the second smallest value in c, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xscs when four letters picked without replacement from ppcghhxsphspphps?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*g*s*u**2 - 3*g*s*u*x**3 - 2*g*x**3 + 3*u**2*x**3 - 2*u**2 wrt s?\nAnswer: 18*g*u**2 - 3*g*u*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -819.627 + -1.373. Let a = 819.9 + q. Suppose 0*b - 5*b - 20 = 0. What is the second smallest value in a, b, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + (-11)\/(-3)*-1)*3. Suppose -5*p = -14 - n. Calculate the common denominator of -41\/21 and (-24 + -2 + p)\/((-33)\/2).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*z - 6568 - 2166 + 792 = 0 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 22.997. Round o to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-3)\/52) - 3. Suppose -29 - h = -3*v. Suppose z - v + 2 = 0. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 + -12023111101?\nAnswer: -12023111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*y + 0*y = -0*r + 3, 9*r + y + 0 - 71 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-461127)\/(-168) + 3\/(-7). Let b = -2754 + l. Calculate the common denominator of b and -5\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-32))\/((-36)\/12 - (-27)\/6)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73224546 (base 8) in base 13?\nAnswer: 32b262c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 1\/2, -1.19, 0.03 in ascending order.\nAnswer: -1.19, 0.03, 1\/6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + f = 13, -3*f = 2*d + 6*f - 14*f + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 9*k**2 - 7*k - 2. Suppose -5 = 4*n - 21. Calculate the remainder when u(8) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/1957 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.661 - -1.\nAnswer: 0.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -24\/5 (b) -1\/11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16, -26, -28, -22, -8?\n\"Answer: 4*f**2 - 22*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5013)\/(-5) - 328\/205. Suppose 0 = -2*l + 5*l - 231. Calculate the highest common factor of u and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.164073 - -0.164. Round a to 6 decimal places.\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*z + 8 = 0, -2*f = -2*z + 10 + 6. Let x(d) = d + 5. Let t be x(f). Factor 0*i + 2\/3*i**4 - 2\/3*i**3 + t + 2\/9*i**2 - 2\/9*i**5.\nAnswer: -2*i**2*(i - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g**2 + 2*g + 7. Let v(a) = 11*a**2 + 3*a + 10. Calculate 7*i(n) - 5*v(n).\nAnswer: -6*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1336, -1329, -1322, -1315?\n\"Answer: 7*q - 1343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351688?\nAnswer: 2, 43961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31973673.68 rounded to the nearest 1000?\nAnswer: 31974000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 45 and -1.9.\nAnswer: 43.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*c - 444, h - 63 = -c - 204. Let o = -22 - h. Let x = o - 74. Calculate the greatest common divisor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -3, -13, 0.28, -1\/4?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205135 is divided by 51282?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, 2920, 4\/47 in ascending order.\nAnswer: -104, 4\/47, 2920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -183818\/2401 at most -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 + 3*u - 6. Let g(c) = -6*c**2 - 9*c + 17. Let o(p) = 11*b(p) + 4*g(p). Let f(q) = q**2 + 4*q - 3. Let a(s) = 2*f(s) + 3*o(s). Solve a(m) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 171 - 167. Suppose 3*z - 6 = 0, -g*z + 1289 = 3*u - 0*z. List the prime factors of u.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-12 - -10) - (-2 + 4)) + -12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -84*o + 16. Let j be m(-3). Suppose 6*b = 2*b + j. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + k - 1. Let f(w) = -2*w**3 + 6*w - 6. Let v(n) = n**3 - 16*n**2 - 10*n - 125. Let a be v(17). What is a*l(p) + f(p)?\nAnswer: -2*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1 = -2*w + 5, 3*y = -3*w + 6. Suppose 0 = -y*o + o. Suppose o*i = -i. Solve i = -5*f + 4*x - 19, -3*x - x - 8 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4927239973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1125*m = -1128*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**4 - 2417*t**3\/2 - 594508*t**2 - 2723307*t\/2 - 355023 = 0.\nAnswer: -243, -2, -3\/10, 487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, s: 2, f: 4, e: 1}. What is prob of sequence qq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/191 >= -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.64 - 0.14. Let g = w - 10. Suppose -3*y - 3 = 0, 0 = -2*m - 2*y + 6*y + 8. Which is the biggest value? (a) g (b) m (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226351733427*m**2 + 2*m**3 - 226351733427*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 19\/4, -3, 1, 4\/119, -1\/2 in decreasing order.\nAnswer: 19\/4, 4, 1, 4\/119, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13420 + 147617\/11. Which is the second biggest value? (a) -0.3 (b) r (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o - 10. Let z be (30\/4 + -4)*-2. Let l = -549 - -565. What is the smallest common multiple of g(z) and l?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/400 and 11\/7496?\nAnswer: 374800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 366*t - 228*t - 290*t - 4481 - 839 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**10))\/((s*s\/((s**(-15)\/s)\/s))\/s))\/((s\/s**8*s)\/s**13) assuming s is positive.\nAnswer: s**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 533592599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 226, 340, 516, 754?\nAnswer: 1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.02 + -2. Let w = 0.12 - p. Let j = 3.7 - 0.7. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.035 and 1901.9?\nAnswer: 66.5665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14969346 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 68?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7132.71773 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8327042 decades in months?\nAnswer: 99.924504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t + 20. Let z(y) = y - 1. Let d(f) = r(f) + 12*z(f). Let w(g) = -14*g - 9. Let k(h) = -4*d(h) - 3*w(h). What is k(-8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from uuuuuuuueuuue?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*o - 52, 2*p + 2*p - 4*o - 20 = 0. Suppose 3*z + 52 = 5*z. What is the remainder when z is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 1\/30*n**6 - 1\/2*n**2 + 0*n**5 + 2*n + 0 + 0*n**4 + 0*n**3. Differentiate r(w) with respect to w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or 0?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3971 times -2.6?\nAnswer: 10324.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -153 and 1.2.\nAnswer: -183.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3614640.96 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + r = 312. Suppose 2*h = 6*h - 240. What is the greatest common factor of h and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 2. Let k(y) = -1. Let x = 5 + 1. Let s be (-10 - -1)\/3 + 0. Let a(p) = s*t(p) + x*k(p). Let q(g) = g. Determine a(q(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1633627\/48 - -34032. Find the common denominator of r and -119\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d = h + 35, 3*d - 45 = 4*h. What is the remainder when 37 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 1890.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 75395*l**2\/4 + 4825275*l\/4 - 80 = 0. Calculate l.\nAnswer: -64, 1\/15079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*c + 9, 3*v + 3*c - 12 = -v. Let u be 116\/(-12) + 1\/(-3). Let w be v*-1 - 1*u. What is the highest common divisor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36685838 and 462?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 185103 - 3?\nAnswer: 185100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2042, 4214, 6386?\n\"Answer: 2172*a - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.142737 to 3 decimal places.\nAnswer: 0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3349 = -4*w, 5*x + 1562 = -2*w + 7187. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/96 and (-139)\/418 - 10\/(-95)?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16107 (base 8) to base 2\nAnswer: -1110001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 185555, 185580, 185605, 185630, 185655?\n\"Answer: 25*i + 185530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7494946*f*s - 157024831*s wrt f?\nAnswer: 7494946*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3403487\/208 + -16363. Find the common denominator of -29\/130 and n.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, -0.79, 6\/71, 3\/4, -2 in decreasing order.\nAnswer: 3\/4, 6\/71, -0.4, -0.79, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -178, -350, -510, -652, -770, -858, -910?\n\"Answer: l**3 - 179*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 5 (b) -40 (c) 0.5 (d) -0.43 (e) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1372*s**2 + 11*s + 68?\nAnswer: -2744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135\/180*(-12140)\/(-15) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158492999.\nAnswer: 7, 3234551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/8 or -3?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2563.3 and -69.\nAnswer: -176867.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t - 10. Let m be p(5). Solve -z = 4*z + m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 5*m**8\/336 - 5*m**7\/14 - 17*m**6\/8 - 53*m**5\/12 - 15*m**4\/4 + 47*m**2 - 18. Let v(i) = 0. Calculate i.\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001007732743 rounded to seven dps?\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/9 + 46*c**2\/9 + 286*c\/9 + 242\/9.\nAnswer: 2*(c + 1)*(c + 11)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uccuzuclzluuczu. Give prob of sequence cl.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 19\/6. Let o be 1\/(-2) - (-5)\/2. What is the smallest value in 0.1, o, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089 equal to 3091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1664, -3337, -5010, -6683, -8356, -10029?\nAnswer: -11702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.282 + 0.37. What is p rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (92\/(-8) + 1)*(-3 - 1). Differentiate 36 + 31*g + 20*g - j wrt g.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, -1, -7, 1\/16, -1\/7 in decreasing order.\nAnswer: 70, 1\/16, -1\/7, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 14746536.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + 4)*6)**2 - (sqrt(288) + sqrt(288) + ((sqrt(288)*1*5)**2 - sqrt(288))).\nAnswer: 3744 + 3444*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.32981405 rounded to one dp?\nAnswer: 37.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**3\/3 - 7*v**2\/2 + v. Let q = -15 - -21. Let z be t(q). Solve z = 4*f - 5*c, 2*f = 4*f - 5*c - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-9) + (-2272)\/639.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526967?\nAnswer: 7, 83, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 - 1 = 0, 0 = -4*d + 3*r - 4. Let z be (d\/(-6))\/(6\/36). Solve 0 = -l - z*u + 13, -5*u = 4*l - 10 + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 86 - -3?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1728\/1681 or 1?\nAnswer: 1728\/1681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3890832 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 508 - 504. Let h = 3.8 + 0.2. Let w = h - 2. Put g, 0, w in descending order.\nAnswer: g, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119\/2 - -58. Let w = -168\/5 + 1838\/55. Let n = 0 - 5\/6. What is the closest to 0.1 in n, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 2*j**2 + j + 2. Let q be b(0). Let a(n) = 4*n + 17. Let f be a(-4). Suppose -m - 3*t = -6*t - 10, 2*t + 7 = m. Solve -m = -q*r + f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2 + 3 + 2 + n - 3*n. Let u be b(0). Solve -10 - 2 = u*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - (0 - 0)) + 2. Suppose -5*c + 152 = -23. Calculate the greatest common divisor of c and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64288324*q**2 + 1441892976*q - 8084887056 = 0.\nAnswer: 44958\/4009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/60 and -23\/249.\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 12:53 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - sqrt(84)*2*-1 - 3*sqrt(84)*-1)\/(1*-4*sqrt(768)).\nAnswer: -3*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4514 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/(v**(-1)\/v))**(-5\/12)\/((v\/v**0)**(1\/14)\/(v\/v**(-1\/7)*v**(2\/19))) assuming v is positive.\nAnswer: v**(1213\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-72)\/15 - 3\/15. Let a = 16 + q. Calculate the greatest common divisor of 55 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 321*n + 3002 + 1629 + 5320 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/98)\/((-24)\/(-14)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100000010 + -110?\nAnswer: -111100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 2*y**2 + 24*y - 64. Is 23 a factor of b(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2496 and 1696?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45528 divided by -3794.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7*m + 20554 = 3*u, -3*m = 2*u - 13703. Suppose 8*o - 18*o = -u. What are the prime factors of o?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 16\/(-14))\/(2\/2). Sort 0.1, 1\/34, b in increasing order.\nAnswer: 1\/34, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -300.99753 + 301. Round w to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2261 = -2401. Suppose -17 = v + 4. Let u = v - t. Solve 2*f - 20 = u*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260094295.\nAnswer: 5, 52018859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -12. Suppose -3*m + 5*t + 136 = 0, z*m - 204 = -t - 2*t. Let k = 86 - m. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2123 + -900. Let z = 1744 - l. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 1:02 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4 - 8. Suppose -k - 4*x - 5499988 = b*k, 4*k = 5*x - 4400015. What is k rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - -5 - (-49)\/(-46). Which is the nearest to 0? (a) -3\/4 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(60\/(-100)*(-9)\/(-468)*(-140)\/21)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4642*c - 38*c - 17482 + 214042 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -4405*k**4\/2 + k**2\/2 + 6470*k - 9600. Find the second derivative of z(u) wrt u.\nAnswer: -52860*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5372 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 + (-19 - 23) + -48 + 94 + 1.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d + 1 - d)*(15*d**3 + 69*d**2 - 69*d**2).\nAnswer: -15*d**4 + 15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -646 divided by -12?\nAnswer: 323\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -32*o - 32. Let i(f) = -7*f - 8. Let c(d) = 9*i(d) - 2*k(d). Calculate c(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2*s**3)\/(((s**(-3\/8)*s)\/s)\/(s\/s**(-4)))*(s\/s**(-1\/3)*s**(-2\/13))**(-2) assuming s is positive.\nAnswer: s**(2501\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6115800 and 2854040.\nAnswer: 42810600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -20*o - 55. Let v be y(5). Let w = -50 - v. Is w less than or equal to 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24065 (base 11) to base 9\nAnswer: 52510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*m - 144*m = 301*m + 150*m - 4024. Let f(u) = -u - 4. Let y be f(-6). Let k be 8 - (2 + -1 - y). Is k <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1466*v + 420293. Is j(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52780828?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**2 + 2847*i - 1138 = 0.\nAnswer: 2\/5, 569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25608588?\nAnswer: 2, 3, 37, 137, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1728235 is divided by 758?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-3 - -5) + 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 5150?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 125 + 5*g + 50)*(-g + 2 - 2)*(7 + g - 7)*(-g + g + g).\nAnswer: -5*g**4 + 54*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24721 is divided by 201.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 + m**2 - 3*m**2 + (-2 + 5 - 1)*(-68 + 33 + 40 + 44*m**2) - 3*m + 2*m**2 + 3*m to d*m + j*m**2 + p and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 10:53 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 113 in -0.4, 0.4, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is bbcd (base 14) in base 10?\nAnswer: 32521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5105 + -2842. Is 180 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1030, 2058, 3086, 4114?\nAnswer: 5142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1634, 3270, 4906, 6542, 8178, 9814?\nAnswer: 11450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23579303.\nAnswer: 11, 2143573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39149969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, s: 4, o: 1, q: 2, d: 4, t: 3}. Give prob of sequence do.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -940 + 943. Let v(f) be the first derivative of -3 - 1\/5*f**w + 0*f + 3\/5*f**2. Factor v(d).\nAnswer: -3*d*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5 = -3. Sort o, 1, 0.5.\nAnswer: o, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.57049km to centimeters.\nAnswer: 8757049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18.9 times 7.6171\nAnswer: -143.96319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 + 2954*s - 11903. Determine w(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4917.9 times 0.22?\nAnswer: 1081.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 35*b - 26. Let t(p) = 12*p - 9. Let q(m) = -4*o(m) + 11*t(m). Let h be q(0). Solve -5 = -d + 5*l - 0*l, -3*d + h = -5*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 + 246?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.1, -4, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 244 and 1290333.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 50367*d + 402935. Give z(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21832.\nAnswer: 2, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101201210 (base 3) in base 11?\nAnswer: 19737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -69, -144, -245, -378, -549, -764?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.855674 seconds?\nAnswer: 9855.674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i - 18. Let d be h(-7). What is the second derivative of 0*r**3 + d*r**3 + 284*r - 266*r wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**6\/120 + v**5\/10 - v**4\/8 - 4*v**2. Let o be m(6). What is the common denominator of (-885)\/10*3\/o and 73\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -130, -196, -262, -328, -394?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71907863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 - 243661?\nAnswer: -243626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-21)\/6)\/(1\/(-14)). Suppose 4*z + 29 = w. Suppose -4*j = z*t - 52, 16 = j - 2*t + 4*t. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177374?\nAnswer: 2, 131, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38920 + -38916. Let g(i) be the third derivative of 0*i**5 + 1\/15*i**6 - 8\/3*i**3 + 0*i**d + 0*i + 0 + 29*i**2. Differentiate g(l) wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -400, -789, -1164, -1525?\n\"Answer: 7*b**2 - 410*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) - 870\/(-9). Suppose -a + 2*t = -18, -5*a = t - 4*t - z. Let b = -26 + 64. Calculate the remainder when b is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - q)*((-2*q + 8*q - q)*(q**2 + 0*q**2 + 0*q**2) - q - 2*q**3 + q).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.266 and 0.3.\nAnswer: -0.0798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 6) + (-2 - -1). Let c = 1 - g. Suppose -c*s - 20 = s. What is the third smallest value in s, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -13. Let k(a) be the second derivative of 0 - a + 1\/18*a**3 + p*a**4 + 0*a**2 - 1\/60*a**5. Find x such that k(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 47298 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 27 = 29. Suppose u*l = 23 + 73. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 50*t**2 - 22*t - 22. Suppose -z + v + 8 = 17, -2*z - 2*v - 6 = 0. Let o(h) = 7*h**2 - 3*h - 3. Calculate z*j(p) + 44*o(p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356541, -356526, -356511, -356496, -356481, -356466?\nAnswer: -356451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.980894 millennia?\nAnswer: 298.0894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48375014*-1.\nAnswer: 48375014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a centimeter in millimeters?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -17. Let h be (100 + 2)*(-31)\/n. Let v = h + -638\/5. Calculate the common denominator of -5\/8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 9*j**3 - 21*j**2 + 96*j - 14. What is the units digit of z(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 0*m + 14 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, 2, -29402, -5 in decreasing order.\nAnswer: 2, 1.1, -5, -29402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2802 less than 10?\nAnswer: 2812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 1924059?\nAnswer: 28\/1924059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47215 and 21175?\nAnswer: 28565075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnnyyyyyyyyyyynyyyyy?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/20767 or 1?\nAnswer: 2\/20767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6111247?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123 + -2?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59980821*j**2*m**2 - j*m**2 - 54*j + 17*m**2 - 9814*m wrt j?\nAnswer: 119961642*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r**3 - 5*r**2 - 477*r - 2. Let n(w) = -4*w**2 - w - 2. What is -n(z) + s(z)?\nAnswer: -8*z**3 - z**2 - 476*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjsszljzsk. What is prob of picking 2 s?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/24)\/(6\/(-20)). Let j be y - -1*(-423)\/(-84). Is 1 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, g: 4, v: 2, b: 1, s: 4, u: 1}. Give prob of picking 1 v, 1 y, and 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13254, 26508, 39762, 53016, 66270?\n\"Answer: 13254*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60064397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 976787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 23023?\nAnswer: 23030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x**3\/x)\/x))**(-3\/2)\/(x*x**(-3\/7))**(-2\/9) assuming x is positive.\nAnswer: x**(205\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from {t: 1, r: 1, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*l + 11*l + 24. Suppose -42*m + 39*m - 89 = -n, l*m + 94 = n. Solve -89 = 3*o - n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41886 is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**3 - 11*j**2 - 9*j + 1. What is c(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18.9 in -0.3, -31, -1\/5, 130?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*d = 79*d. Let q = -166844844 - -1965432259753\/11780. Let c = q + 23\/95. Is c < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 2*x**2 + 0*x**2 + x)*(-14*x + 13 - 10*x + 26*x).\nAnswer: -4*x**3 - 24*x**2 + 13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**4 + 27278*t**3 - 909*t**2 - 2*t - 4?\nAnswer: -24*t + 163668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/4678 + -2881643\/23390. Do d and -124 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 - 250)*((-715)\/66 - -11) and (-4)\/46*9\/(-4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3636 divided by -2.\nAnswer: -1818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 3:39 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232 - 228. Let 108*b**3 + 8*b**5 + b**4 - 142*b**3 + 5*b**y - 24*b**2 + 8*b = 0. Calculate b.\nAnswer: -2, -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4147*c**4 - 100*c**3 - 1337215*c**2.\nAnswer: -99528*c - 600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000413241 (base 6) in base 7?\nAnswer: 151640446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -4*g + 53828 - 53866, 2*i - 16 = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1) + 12\/(-8)*-76. Let h = -112 + j. What is the biggest value in h, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-91)\/14 + (3 - (-18)\/(-4)). Let a(q) = -2*q**2 - 17*q - 4. Determine a(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r = -22*r + 245. Solve -2*u = -7*q + 3*q - 8, 0 = -2*q - r*u - 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680*z + 1320*z - 562*z.\nAnswer: 78*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, m: 3, x: 1, r: 2}. Give prob of picking 2 m and 2 r.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1. Let n(j) = 4*j - 3. Let i(h) = n(h) - 3*w(h). Let k(l) be the second derivative of l**3\/2 + 2*l - 324. Give i(k(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 185\/35 + (-2)\/7. Suppose -31 = b*j + 4*a, 3*a - 1 = 3*j - 4. What are the prime factors of ((-123)\/j - 3)*2?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 smaller than 15\/139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4975*o**2 + 52*o - 1477*o**2 - 51*o to the form u + x*o + p*o**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxsssxsssxxx. What is prob of sequence sx?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 185 (c) -246 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-102)\/(-39))\/((-95)\/(-2470)) and 187.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 13*f - 21. Let t be i(8). Calculate the remainder when 68 is divided by (t - 5)\/(4 - (-378)\/(-93)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/(3*2\/(-12)). Let i(z) be the first derivative of u - 5\/2*z**2 - 4\/3*z**3 - z. Solve i(h) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17\/2, -9\/2, -1 in decreasing order.\nAnswer: -1, -9\/2, -17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from {r: 1, k: 1, a: 2, q: 2, i: 1, j: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.356794um to nanometers.\nAnswer: 9356.794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 4 - 3*l - 1\/60*l**4 + 0*l**3 + 1\/100*l**5 + 0*l**2. Let p(b) be the first derivative of k(b). Factor p(t).\nAnswer: t**2*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -212 + 82. What is the smallest common multiple of (-40)\/(-7) + (-4)\/(-14) and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -461868460717 take away 9?\nAnswer: -461868460726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = -4*i + 10*j - 17, -2*j = -4*i - 38. Let b(d) = -24*d - 197. Give b(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 3:28 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1012 divided by 253.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -254572*x. Let y(v) = 12*v**2. Determine y(w(t)).\nAnswer: 777682838208*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 45*k**2 - 7*k + 69. Let s be a(-10). Let q = 2512 + s. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 10247.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/152 and 87\/836.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 + (-90)\/148. Suppose -119*q + 105*q = 0. Suppose 0 = w + s, q = s + 2*s - 3. Is y greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, q: 8, j: 4}. What is prob of picking 2 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i + 36*i + 8 = 0. Sort -10, 0, i, -2 in descending order.\nAnswer: 0, i, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + 196*u - 602. Let b be i(3). Solve -10*s + 15*s - 2 = 4*a, s - b = -a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 925379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 * -11\nAnswer: 2.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2*b - 10, -3*n = -2*n + 2*b - 2. Let f be -1*(n - 2\/(-1)). Solve 3*i + f*s = -4, 4*i - 5*s = 4 + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 21 = 4*d. Suppose 0*i = 4*i - d. Suppose 0*w = -i*h - 2*w + 15, 12 = 3*h + w. Is h <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -4*w + 24, 5*w + 4*t = 158 - 128 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 861 = 156. Let f = -794\/7 - p. What is the nearest to 2 in -5, 1\/6, f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722594437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 6:35 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7694248 * -4\nAnswer: 30776992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 192*j + 4. Let h be d(0). Sort 138, h, 3, 5 in increasing order.\nAnswer: 3, h, 5, 138","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1232)\/112 - (-4)\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58152720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plpllppp. Give prob of picking 3 p.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25988*t**3 + 47312*t?\nAnswer: 155928*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 - 301*q - 203. Give j(101).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 + -84?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4 + 1. Suppose 9*m - 4*m = i. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 0*l + 7*l - 3*l - 246 + 2*l to the form q*l + b and give b.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 158422 and 2299.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.4 and -0.06.\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 + 775 = -228*k + 23 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8405, -8407, -8409, -8411?\n\"Answer: -2*j - 8403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -230326509 - 0.2\nAnswer: -230326509.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**(2\/9)\/a)\/a))\/a)**46\/(a**(-2))**(-24) assuming a is positive.\nAnswer: a**(-110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 335 - 347 = -4*l, l + 3*w + 14 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 221 = 9*r. Let w(b) = -b**2 + 13*b + 3. Give w(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 - 23*u + 21)*(-2 + 0 + 1)*(3 - 3 + 3) to the form l + f*u and give f.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -27. Which is greater: p or 13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77263909 and 2661.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58\/((8\/(-16))\/(-1)). Let p = 8 + -3. Suppose -p*b + 6 = -139. Calculate the greatest common divisor of b and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125185216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**2. Let o(i) = -1773 + 30*i + 1773. What is o(n(d))?\nAnswer: -150*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1244154 - -330?\nAnswer: -1243424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 92536513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -23\/231 (c) -707 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 13. Suppose 1 = 2*v - d. Let y = -8 - -15. Solve -19 = v*s - y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1342370 rounded to the nearest ten thousand?\nAnswer: -1340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0*j + 1\/6*j**4 - 2*j**2 + 1\/6*j**3 + 0. What is the units digit of q(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6530\/16729 or -1?\nAnswer: -6530\/16729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 + 3*b**3 + b**3 + 10*b**2 - 48*b**2 + 20*b**2.\nAnswer: 4*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by 31?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 50 = 4*b - 166, 2*k + 18*b - 53 = 31*b - 8*b for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*k**3 - 29\/2*k**2 - 1\/2*k**4 - 9 - 39\/2*k.\nAnswer: -(k + 1)*(k + 2)*(k + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -5*r**4 + 48 - r - 634*r**2 + 634*r**2. What is l(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/115)\/((-4)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(117)*2 + -1*sqrt(117)*-5)\/((sqrt(1089) - (sqrt(1089) + sqrt(1089)*-1)*-3) + sqrt(1089) - sqrt(1089)*2*2).\nAnswer: -7*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**4\/2 - 3*n**3 - 7*n**2\/2 - 4*n - 16. Let g be k(-4). Solve 2*o = 4*o + g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31910987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 7*l**2 - 83*l - 281. Let q be n(-12). Let a(c) = -9*c - 43. Determine a(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*j + 14*j + 0*j**3 + j**3 - 17*j - 1 to the form i*j**2 + u + c*j + t*j**3 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 586377 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: Suppose 5*h = -5*a + 25, 0*a + h + 1 = 5*a. Let q be (-1 - a) + -3 + 68. Suppose -42 = p - 2*p. Calculate the greatest common factor of p and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11 - (32\/(-112) + (-2)\/(-7)). Suppose l = 2*o + 7. Let q = 15 - 10. Which is smaller: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1157 is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142 + 11. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5546 (base 12) in base 9?\nAnswer: 13820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1*(sqrt(2268) + -1) + 2 + -2)*4)**2.\nAnswer: -3456*sqrt(7) + 36864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3065478 to the nearest ten thousand.\nAnswer: 3070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 1328*m**2 + 3*m - 660*m**2 - 10 - 667*m**2. Suppose -2*r + 1 = -z, 3*z + 2*r + 13 = -6. Determine o(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1079*x - 31*x + 158*x as u*x + v and give u.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhbbbhbbhhbhb. What is prob of sequence hhb?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + -63. Suppose 6 = 4*n - 6*n. What is the least common multiple of 18 and 1\/n + j\/(-9)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44 - -19) + -48 + -41\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -24. Suppose 20*h - 24*h + 16 = 0. Solve -t - z = -k + 1, -5 = h*t - 3*k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -13*q**3 + 1237*q**2 - 185*q - 110. Calculate y(95).\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, e: 1, n: 1, m: 5, f: 1, y: 3}. Give prob of picking 1 e and 3 m.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 22*w**2. Let a(v) be the first derivative of -v**3\/3 + 2. Determine s(a(p)).\nAnswer: 22*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5*sqrt(66)*1 - (sqrt(66) - (sqrt(66) - (sqrt(66) - (sqrt(66) - (2*sqrt(66) - sqrt(66))))*-6))))\/(2*(-2*sqrt(5400) - sqrt(5400))).\nAnswer: sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*x**3\/5 - 516*x**2\/5 + 788*x\/5 - 264\/5 = 0. What is x?\nAnswer: -66, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 12:31 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than or equal to 1592\/161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - (-6 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, and 1 u when three letters picked without replacement from pkeprpukuppkupuxu.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 995, -16\/15 in ascending order.\nAnswer: -16\/15, -1, 995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1894972587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14661, -29454, -44295, -59184, -74121, -89106, -104139?\nAnswer: -119220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -7b6b?\nAnswer: -7b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 1ab?\nAnswer: -1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1.5. Let u = 962 + -962.05. What is the second biggest value in 2, u, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 277.68082 to the nearest integer.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -9, -3.\nAnswer: -9, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = -5. Solve -o*h = -h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 2*b + 43444630 - 43444630.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 8*t**2 + 2*t - 5. Let n be g(-8). List the prime factors of (-7)\/(n\/102) - 0.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/330*30*1\/28.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2134?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 257208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12985.272 rounded to the nearest one hundred?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 581240127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/9*s**2 + 2\/3*s - 2\/3*s**3 + 2\/9*s**4.\nAnswer: 2*s*(s - 3)*(s - 1)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/(-14))\/((-1)\/12). Let r(v) = 12*v**2 - 3*v. Let u(t) = 6*t**2 - 2*t. Let z(m) = i*r(m) + 13*u(m). What is the second derivative of z(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**2 - 452*m - 1744 = 0. What is m?\nAnswer: -109, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssrvssrzrbrbvoo. What is prob of sequence bob?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + (-3*sqrt(65)*-2)\/((sqrt(180) - sqrt(20))\/sqrt(4))))**2.\nAnswer: -192*sqrt(13) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 2. Let z(a) be the first derivative of -a**3\/3 + 13*a**2\/2 + 3*a - 12. Let f be z(9). Calculate the greatest common factor of f and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33641429537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 22*i + 4. Let q be w(-2). Let h be ((-24)\/18 - 1)\/(2\/36). Which is smaller: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 11*x + 362. What is d(25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.57 + 0.43. Let w = 8.996 + -10.996. Which is the closest to -14\/3? (a) q (b) w (c) -1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 4332866?\nAnswer: 3\/4332866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.54058 litres to millilitres.\nAnswer: 3540.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 993445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-12015)\/648*6*(24\/15)\/4?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p + 43. What is n(-29)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 3:38 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/13))**44\/((l\/l**16)\/l**(-10\/7)) assuming l is positive.\nAnswer: l**(619\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*v**5 - 2*v**3 - 102*v**2 wrt v?\nAnswer: -960*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 422 in increasing order.\nAnswer: -5, 2, 422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2. Let n(m) be the third derivative of -4*m**4\/3 - m**3\/6 - 25*m**2. Determine n(p(v)).\nAnswer: 64*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*l = 4, -6*r - 3*l = -r - 8. Let b = -1\/113 - -1811\/339. Which is greater: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) 0.02 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12310323131 + 13?\nAnswer: -12310323112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 369*n**3 - 11*n**2 - 39*n + 16. Let b be m(16). Round b to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 974*g - 890. Calculate j(-2).\nAnswer: -2838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -2*i**3\/9 - 22*i**2\/3 - 14*i - 525. Factor g(w).\nAnswer: -2*(w + 1)*(w + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -16. Let a be (8\/l)\/(2\/6). Solve -4*s - 32 = -a*y, -3*y + 4 = -2*y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2763\/148 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6 - 19 + 5 + 2*n. Determine w(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/16)\/g)\/(g\/((g\/g**(2\/75))\/g)))\/(g**(-4\/25))**(20\/11) assuming g is positive.\nAnswer: g**(-22087\/13200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*4 + -3 - (sqrt(245) - sqrt(245)*1)**2.\nAnswer: -3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*p - 2*p. Let u = 2 + p. Suppose u*s = -6, -2*j = -7*j - s - 7. Put j, 4, 5 in decreasing order.\nAnswer: 5, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 276, -8, 1, 11, -3, 9, 2 in ascending order.\nAnswer: -8, -3, 1, 2, 9, 11, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 269 - 218. Suppose -v = -h - 52, -5*h = 2*j - 8093. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-700)\/21)\/10*12\/90?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0, -33.33, -0.2, 3 in decreasing order.\nAnswer: 3, 0.3, 0, -0.2, -33.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/7 (b) -2.3 (c) 48 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18723.062 - 3.062. Let d = x + -18709.593. Let f = -10.1 + d. Round f to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 18 = 26. Calculate the highest common divisor of a and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**18\/m*m*m**28*m*m assuming m is positive.\nAnswer: m**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 17*w + 237. What is the tens digit of v(-46)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 12*l - 75. Let v be y(-5). Suppose -269 + 1359 = v*m. What is the remainder when m is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c + 53 - 53)*(2*c**3 + 2*c**3 - 2*c**3).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 262723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2950405 and -62?\nAnswer: -182925110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068825022?\nAnswer: 2, 8941, 59771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1008)*2 + 5 + sqrt(1008))*2)**2.\nAnswer: -36388 - 1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*k + 7*k + 5*d - 55 = -6*k, -2*k - d - d = -6 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0, -0.136?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1008001 or -67\/12?\nAnswer: -67\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 465*w + 5047. List the prime factors of r(45).\nAnswer: 2, 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - (sqrt(270) - sqrt(270)*-1 - sqrt(270))\/sqrt(9))\/(sqrt(66)\/(sqrt(11) + sqrt(44))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 2 (c) 9 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1)*(4*t - 6*t**2 - 12*t**2 + 39*t**2) to v*t**2 + n + u*t and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/20547 (b) 0.1 (c) -0.3 (d) -2\/3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*b**2 - 1402760*b + 1603200.\nAnswer: -5*(b + 40080)*(7*b - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnknnunnnnnnnddnuk. Give prob of picking 1 u, 2 n, and 1 d.\nAnswer: 22\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(51)\/sqrt(192).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 v, and 1 d when three letters picked without replacement from {v: 1, d: 1, u: 1, e: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1487557000 to the nearest 1000000.\nAnswer: 1488000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**2 + l**2 - 3*l**2 - 4*l**2 - 21 + 14*l. Is 2 a factor of j(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2806*c + 0 - 2792*c - 2805*c + 0 + 11223*c - 2818*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -6 - (94 + 2)) + 16 + -1\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1270682 is divided by 2241.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w - 4*a - 196, -3*w + 151*a = 2*w - 0*w + 156*a + 245 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 174498, -64, 8, 5\/4?\nAnswer: 174498","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 9. Let d = 2 - -3. Suppose 92 = m*h + d*r, 2*r = 3*r - 4. What is the highest common factor of 16 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -28.959. Round i to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 18*m + 19. Let p(x) = -9*x - 10. Give -11*p(k) - 6*t(k).\nAnswer: -9*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 318 - 218. Let u = -102 + m. Which is smaller: 0.38 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -757 - -751. Let u be 8*(0 + (-3)\/(-6)). Which is the closest to k? (a) u (b) -0.1 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Suppose 0 = 3*r + r. Solve r = 3*d + 3, -s*d + 1 = 2*w - 3*d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 493942858 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*((d\/d**(-4))\/d*d)\/d*d*d))\/((d\/(d*d*d**(-3)*d*d))\/d*d)*(d**(1\/3)\/d)**(-3\/14) assuming d is positive.\nAnswer: d**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94185825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 - 28\/(-16). Let n be 18*(76\/6)\/m. Is (-4)\/10 + n\/10 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04216968076 to 4 dps.\nAnswer: -0.0422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9*r - 49. Determine v(-28).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 6*j + 2*j)*(0 - 5 + 2).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -6*z**2 + 217*z + 206. Let o be y(16). Solve 4*g = -g - o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1762523916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 6*v + 5. Suppose 4*w - 33 = -7*w. Let j be i(w). Solve 18 = -4*h - 5*o - 14, j*h + 27 = -3*o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, -1\/7, 2\/17, -2, -481 in descending order.\nAnswer: 2\/17, -1\/7, -1.4, -2, -481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*o**2*z - 2*i**2*z**2 - 3*i**2*z + 59270*i*o**3*z**2 - 230*i - 2527*o**3*z + z**3 wrt z.\nAnswer: -4*i**2 + 118540*i*o**3 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76232881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u - 4 = -27*u - v, u = -v + 1. Sort -0.1, u, -0.3 in decreasing order.\nAnswer: -0.1, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, m: 2}. Give prob of picking 2 m and 2 v.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(25)\/sqrt(5)*-3 + 4*(sqrt(125) + 0 + sqrt(5)).\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (54 - 12) + -30 + 32 + 104 + -1\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110002 + -220112011122?\nAnswer: -220111201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 2844*k**2 - 240572*k + 5293860.\nAnswer: -4*(k - 617)*(k - 55)*(k - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2\/17 (c) 35 (d) 0.69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 73 + 1 = 0. Let b = 6 - d. Find the common denominator of 121\/b - (-4)\/6 and 79\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 5:47 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 187, 19, -3, -4 in decreasing order.\nAnswer: 187, 19, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6*1335\/10. Suppose 0 = -3*y + 2*c + 3*c + 317, -y + 5*c = -h. What are the prime factors of y?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902424078 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3480236699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1282.2 plus -0.080603?\nAnswer: -1282.280603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4470913068?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -809, -1634, -2461, -3290, -4121?\n\"Answer: -r**2 - 822*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**5\/60 + s**4\/3 + s**3\/2 + s**2. Let v be -1 + 14*(-1)\/(-2). Is a(v) 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 39705?\nAnswer: 3, 5, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*5\/4*-2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 2*r + 0*r)*(5 - 4 - 2)*(-2*r**2 + 49*r**3 - 49*r**3 + 2*r**4).\nAnswer: -2*r**5 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(125) - (sqrt(125) + 1)) + sqrt(125))**2.\nAnswer: -60*sqrt(5) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1188, 2410, 3632, 4854, 6076, 7298?\n\"Answer: 1222*j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055 - 7079061243?\nAnswer: -7079061243.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -40*b - 1\/6*b**4 + 0 + 1\/2*b**2 - 1\/3*b**3. Give m(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -223 + 325. Does 56 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 2*h**5 - 3*h + 5*h**5 + 4*h**5 - 4*h**5 + (2*h**2 - 4*h**2 - h**2)*(-3*h**3 + 0*h**3 + h**3) + h - h - 2*h**5.\nAnswer: 7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01976 - -5.01976. Let o = 9 - 64\/7. What is the second smallest value in 15, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 9 = -230. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53056 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -19*z + 1. Let r = -1 + 0. Is p(r) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -11131?\nAnswer: -11114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**3 + 1. Let c(w) = w**2 - 5*w - 7. Let l be c(6). What is k(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 21*b**2 + 30*b + 210. Let x be f(-5). Calculate the highest common divisor of x and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43\/33 - -32\/33. What is the closest to 0.1 in 4, w, 3, -24?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 683, 7\/4, 31.1, 4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s - 93*o = -95*o - 162, -2*o - 12 = o for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 19993 = -5*t + 2463, 2*f - 8756 = -2*t. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*m = 24, -4*m + 20 = -5*c + 3*c. Let n(d) = d**3 + 7*d**2 + 6*d - 4. Give n(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 674 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 54 = -8*y. Suppose 0 = -r + 5*j - 5, 0 = 5*r + 2*j - 2 + y. Which is greater: r or -7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -7*t**3 - 3509*t**2\/3 - 1902*t + 4632 = 0.\nAnswer: -1158\/7, -3, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -18814*p + 94081. What is l(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -529.9791 rounded to one dp?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 37293, -7, 0.06, -2\/17 in ascending order.\nAnswer: -7, -2\/17, 0.06, 37293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - f - 10 = w, -3*w - 70 = -5*f. Suppose 0 = 5*c - 0*c - 90. Calculate the lowest common multiple of c and (-208)\/(-15) - 2\/w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4 + (-3384)\/1296?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16553 + 16655 = 17*y. Solve 6 = a - 9*t + y*t, -3*a - 3*t = -18 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78 or 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*i + 17662, 27*i + 23536 = 31*i + 2*z. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 139, -6, 0, -4.\nAnswer: -6, -4, 0, 3, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 12:42 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 3*m - 4*m)*(3 + 11 - 1)*(3*m**4 - 5*m**4 + m**4).\nAnswer: 39*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -236*f**3*h**2 - 17*f**3 + 2*h**3 + 15*h wrt h.\nAnswer: -472*f**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 15, 14, 11, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -671, -3, -5812 in increasing order.\nAnswer: -5812, -671, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2 - 898568*l - 38642122 = 0. What is l?\nAnswer: -43, 449327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 2*b - 504721*b**3 + 504744*b**3.\nAnswer: 23*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 7*v + 1. Let q be y(6). Let a = 11 - 9. Let b(h) = 13*h - h**a - 7 - 2*h - 16*h. Give b(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6267.9 to the nearest 10.\nAnswer: -6270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 610 + -608. Let f(i) be the second derivative of 0 + 0*i**4 - 1\/2*i**3 + 0*i**c - 2\/5*i**5 - 8*i. What is the second derivative of f(j) wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5079*x = -5081*x - 4*g - 36, 2*x + 27 = 5*g for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-15\/4)*q)**(10\/17) assuming q is positive.\nAnswer: q**(-35\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*v + 240*v + 28 = 4*n, 5*n + 10*v = 65 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 852\/(-497) + (-138)\/(-105). What is the third smallest value in -0.5, x, -2\/7, 0.17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -53016*v**3 + 4*v**2 + 7*v - 9. Is d(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two thirds of a decade in months?\nAnswer: 2480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/3 + 1300*b - 891552 = 0. Calculate b.\nAnswer: 888, 3012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, -4, -1\/3, -89, -0.2 in descending order.\nAnswer: -0.2, -1\/3, -1.1, -4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 804\/10 - (9297\/5165)\/(-2 + -1)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k - 378 = 25*k. Put k, 2, -4 in ascending order.\nAnswer: -4, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*d = 65*d - 56 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -20. Let g = -6 + n. Sort g, -3\/5, -0.5, 0.5.\nAnswer: g, -3\/5, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 384854 and 4568?\nAnswer: 1539416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.3609272 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17442814 - 17442627.999336. Let m = 186 - h. Round m to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(207*d**3 - 133*d**2 + 133*d**2).\nAnswer: -207*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4276026.\nAnswer: 2, 3, 19, 12503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/738 and 26\/123.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 518, 1028, 1538?\nAnswer: 2048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 10*s**2 + 11*s + 12. Let o be i(-9). Let n = o + 10. Solve 0 = -n*v - v + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3429 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-4)\/2 - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8877 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -17*q + 22. Suppose q*j - 7 + 6 = -3*n, -4*n - 5*j = 8. What is the nearest to n in 0.05, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.46399687?\nAnswer: -1.39199061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -689792, -3, 2, 54, 5 in descending order.\nAnswer: 54, 5, 2, -3, -689792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 - 4*y**3 + 4*y**3 + (-1 - 4 + 3)*(-2 + 2 - 3*y**3) + 137*y - y**2 + 252*y**3 - 253*y**3 - 116*y.\nAnswer: 3*y**3 - y**2 + 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7840 - 1350. Is 160 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*w - 2188*w**3 - 13*w + 156*w**3 + w**2 to p + z*w + o*w**3 + n*w**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*l - 24 = 0, 71 = 17*c + 5*l + 29 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -91 - 0 - (33 - (17 - (-40 + 20)))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**3 - j**2 + 1. Let u(k) = k**3 + 2*k**2 - k. Let m be u(1). Suppose 4*g = 2*c - 12, -2*c - m = -g - 11. Give h(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25396\/463 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 84 = u, u - z = -20 + 108. Suppose -55*b + 86*b = 82*b - 1377. What is the least common multiple of b and u?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 3*x + 423. Suppose -210 = -5*f + 100. Let d = x - f. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08563724 + 0.08518. What is u rounded to five decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.1 and 15.\nAnswer: -31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 55.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -659219117 by 19.\nAnswer: -34695743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1. Let x(v) = -v**2 + 41*v - 74. Let c be x(39). Let f(n) = n + 2. Calculate c*b(w) - 3*f(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**7\/21 - 2*r**5\/15 - 7*r**2\/2 + 4. Let g(t) be the second derivative of u(t). What is the third derivative of g(p) wrt p?\nAnswer: -240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 2 - -5) + (-1 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48365 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-306)\/(-170))\/((-124)\/40 + 1).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 5*v**7\/42 - 11*v**4\/24 - 14*v**2. What is the second derivative of u(w) wrt w?\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 7:24 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 390 = -5*i + 13, y + 5*i + 121 = 0. Let j = y - -143. Let d(n) = n**2 + 1. Let z be d(0). Solve 3*p - 2*t - z = -j, -t = -2*p - 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7207 + 7207 + 6*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.28 + -0.2. Let r = -0.03 + j. Let g = r - 0.050004. What is g rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 8*w**2 + 3*w - 6. Let i(v) = -v - 4. Let b be i(3). Is g(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s + 2*s - 13*s + (s - s + 2*s)*(3 - 3 - 2).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123972 or -123973?\nAnswer: -123973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1713199?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 43*t**2 - t. Let c be k(1). Let p = c + 3. What is the remainder when p is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 32*y = 0. Solve y = 2*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781850.\nAnswer: 2, 5, 19, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 2)*(-s - s + 3*s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -46*j - 200 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 2, 25, -4.\nAnswer: -4, -1, 2, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -22. Suppose 5*f + f = -114. Let n = r - f. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*t**2 - 763*t**2 - 3465*t**2 + 247*t**2 + 0*t + 2*t - 25 wrt t.\nAnswer: -7972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*g**3*v**4 + 3*g**3*v**3 + 130*g**3 + 3 wrt v.\nAnswer: -40*g**3*v**3 + 9*g**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 352*i - 367*i + 150. Solve -75*q = -65*q + i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239452501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h**2 - 6*h - 4. Let d(r) = 26*r**2 + 17*r + 11. Suppose 91*q = 88*q - 51. What is q*i(y) - 6*d(y)?\nAnswer: -3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*c + 18, -5*j - 8 - 12 = -5*c. Let z(d) = -4*d**2 + 1. Let t(l) = -1. Let g(s) = -2*t(s) - z(s). Determine g(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**6\/180 - h**5\/30 - 20*h**4\/3 - 1216*h**3\/9 + 30*h**2 + 2. Solve m(r) = 0 for r.\nAnswer: -8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1303*u = 1311*u + 2*y + 8, 5*u + 5*y = 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 9 + 4 + (-23 + 7 - -1)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452980?\nAnswer: 2, 5, 72649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289240061 a multiple of 1121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3049, 6042, 9025, 11992, 14937, 17854?\n\"Answer: -q**3 + q**2 + 2997*q + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1273001071 to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4311 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*i - 10*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7681522 rounded to two dps?\nAnswer: 1.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -40\/7, -3, -133 in ascending order.\nAnswer: -133, -40\/7, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + (4 + -4 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9920.707ns to microseconds.\nAnswer: 9.920707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o - 8642 = -9022. Let g be 4\/(120\/9)*183\/3. Which is greater: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*u**2 - 99*u**2 - 104*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 9 = s, -6*x - 8 = -3*x - s. Let b(q) = -9*q + 2. What is b(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -89, 0.1, -0.5, -0.595?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 9:01 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102334?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/(-207) + 112\/(-18). Let v be 4\/6 + (-34)\/6. Is d bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1085, -2122, -3163, -4214, -5281, -6370, -7487, -8638?\nAnswer: -9829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - w**2 - 13*w - 10. What is the remainder when b(4) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkskskssskksskkskkss. What is prob of picking 3 k?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8224, 16471, 24718, 32965, 41212?\n\"Answer: 8247*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*22\/(-539)*21\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaahasaaaaaahaaa. What is prob of picking 1 h and 1 a?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = -9*h + 5*n, -3*n = 2450*h - 2455*h + 60 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/25 - -73\/175. Suppose 0 - 2\/7*g - 6\/7*g**2 - h*g**3 - 2\/7*g**4 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50 - -51) + 1 + 1 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, 0.01, -7, -8, -2, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*p**4 - 17*p**4 + 13*p**4 + (-p + 0*p - p)*(4*p**3 + 0*p**3 + 2*p**3) - 3*p**4 - p**3 + p**3 as a*p**4 + u*p + n*p**3 + y*p**2 + j and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 6:56 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 2460 = 2604. Calculate the highest common factor of n and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9824 is divided by 99.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 15*w**2 + w**2.\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-49) + (-74)\/(-112)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - f + 0)*(3 + 2 - 3) + (0*f + f + f)*(2 + 1 - 4) + (3 + 2 - 2)*(f - 11*f - 3*f).\nAnswer: -43*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-12))\/(1\/4)*26859\/2558\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 572 - 163. Suppose 10*b - t = -5*b. Let v(k) = 20*k - 6. What are the prime factors of v(b)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363443.\nAnswer: 17, 21379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110100010111001 - 1?\nAnswer: 1100110100010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 55065*t + 1 + 110130*t - 55064*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence titi when four letters picked without replacement from {i: 5, t: 9}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-3) - ((-403)\/93 - -5). Factor o + f*o**3 + 9\/2*o**2 + 5\/2*o**4 + 0.\nAnswer: o*(o + 1)**2*(5*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 416 + -355. What is the remainder when 300 is divided by d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/10*-29 + 2\/(-5). Let c = -44 + j. Let x(f) = -3*f. What is x(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**4 - 20473312*d**3 + 61419972*d**2 - 16*d - 81893296 = 0.\nAnswer: -5118331, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45, 196, 551, 1200, 2233?\n\"Answer: 15*g**3 + 12*g**2 + 10*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2546296)\/(-24) + -9 + 4\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19944 is divided by 2042?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2032030 (base 5) in base 15?\nAnswer: -9d60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ec (base 16) to base 14.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -100 + (909 - 848) - (0 - 7).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atomttppatbobb. Give prob of sequence mot.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 71 - 323. Let p = n + 62. Sort p, 5, -2 in descending order.\nAnswer: 5, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 12 = 3*k, 2*k = -2*y - 3*k + 1. Suppose 41 = y*z - 37. What is the remainder when z is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866439667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/(-20) + (-2565)\/(-1900)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 887170 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064623871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y - 3. Let w be h(10). Let i = 207 - w. Calculate the greatest common divisor of 20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 5*x**2 - 6*x - 3. Give z(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*r + 155*r - 95 = -5*u, -4*r = 3*u - 43 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 367926.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*d - 37 = -5*u, -5*d + 5 = -2*u. Suppose -u*a - 7 = -52. Suppose 8*b = a*b - 1121. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32503257 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 171*d - 238 with respect to d.\nAnswer: 171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-14 - -7) - (169 - 297).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63638621, -63638624, -63638627?\nAnswer: -63638630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -170043.16 to the nearest one hundred.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 smaller than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - ((-4 - 126) + 3). Suppose 0*x = c - x - 128, 3*x = c - q. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 3*l**2 - l**2. Let k(z) = -z. Calculate j(k(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151 - -156. Let k = 0.3 - 0.4. Which is the nearest to k? (a) -0.4 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 6*i + 10. Let j be v(4). Let n(h) = 4*h + 3*h**2 + 4 - h**3 - 6*h - 3. Let d be n(j). Which is bigger: 12\/11 or d?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8736 + -24?\nAnswer: 8712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6804\/(-945))\/((-36)\/15 - (-4)\/2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/(-20) - 4\/20. Let d(x) = x**3 + 5*x**2 + 4*x. Let w be d(-3). Calculate the common denominator of 1\/w*c + (-251)\/(-96) and 57\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 + 4*j**2 - 10*j + 4. Let r be v(6). Suppose -726 = 10*g - r. Which is the second smallest value? (a) 0.3 (b) g (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -73?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + k**2 - k - 1. Let m be a(-1). Suppose 0*b - 4*b = 5*v + 61, 5*v = -m*b - 43. Let f = b - -13. Solve -5*w - f = -19 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10605722 is divided by 47?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1959, -15619, -52739, -125061, -244327, -422279?\nAnswer: -670659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20811250\/1561 - 13332. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**8*z))\/z)**(-4\/21)*(z*z*z**(2\/13)*z)\/z**(-8) assuming z is positive.\nAnswer: z**(1171\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-222)\/5400*-5 + (9 - 4433\/495). Find n such that p*n**3 + n + n**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -821 (base 11) to base 3.\nAnswer: -1100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293286?\nAnswer: 2, 3, 7, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2) - ((sqrt(2) - 2*sqrt(2)) + 1)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d*r**2*s - 10348786*d*r*s + 16308303*r**2*s - 8*r wrt d?\nAnswer: -2*r**2*s - 10348786*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4474.7807 to 0 decimal places.\nAnswer: 4475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -242, -492, -742, -992?\n\"Answer: -250*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 419*h**2 + 2454*h + 9900. What is o(413)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8285479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9625 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44032, -44028, -44022, -44014, -44004, -43992, -43978?\nAnswer: -43962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-139)\/4)\/(((-5)\/40)\/1). Suppose -7*i + r = -723. Calculate the remainder when i is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -23*h**2 - 7386*h + 37504. Calculate y(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1654954 divided by 1?\nAnswer: 1654954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*j - 44226 = -246*j for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 10*a + 16. Let y be c(4). Let p be (0 - y\/16)*0. Suppose 6\/7*r + p*r**2 - 2\/7*r**3 - 4\/7 = 0. Calculate r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*h**3*r**3 - 26*h**3*r**2*u**2 - 6*h**3*r**2 + 18*h**2*r**3*u**2 + 2*u**2 wrt r?\nAnswer: -72*h**3 + 108*h**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28977?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 14*k**2. Let j(f) = -329 + 329 + 5*f. What is y(j(d))?\nAnswer: 350*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*j - 2*q = -6, 4*q - 12 = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 - 2 = 0. Let m be ((-6)\/10)\/(r\/(-10)). Factor 1\/3*v**m + 1\/3*v**2 + 0*v + 0.\nAnswer: v**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + 2*(sqrt(288) - 1*sqrt(288)) + (sqrt(288) + (sqrt(288) + 0 + sqrt(288) - sqrt(288)) + 3 - sqrt(288)) + -2 + 2 + sqrt(288) + -1)**2.\nAnswer: 192*sqrt(2) + 1173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 608\/128 - 44217\/(-612)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 13*j - 2. Let u be z(15). Solve u*v = 23*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by (21 - 8)*(2 - 0).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4*v + 8*v = -12, 3*g = v + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-30))\/(r*r**(1\/32)*r*r) assuming r is positive.\nAnswer: r**(-1025\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11275772 divided by -4.\nAnswer: -2818943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 344 and 36292.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 917*q**2 - 1331*q - 5. Let v(a) = -1833*a**2 + 2669*a + 11. Let g(o) = -9*r(o) - 4*v(o). What is the second derivative of g(l) wrt l?\nAnswer: -1842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/3 - 38*r**2\/3 - 12*r.\nAnswer: -2*r*(r + 1)*(r + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3.2 (b) 1\/2 (c) -0.12 (d) -0.08 (e) 68 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 43*a - 59 + 31 in the form x*a + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*t + 3 + t**2 - 8*t + 0*t - 1 - 1 to the form w*t + p + n*t**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/47)*m)\/((m\/m**31)\/m)*(m**(-5\/12)\/m)**(-8) assuming m is positive.\nAnswer: m**(6257\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + -1 + -1 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + 3 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 3*x - 1\/4*x**4 + 0 + 0*x**3 + 0*x**2. Let q(l) = 5*l. What is z(q(w))?\nAnswer: -75*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220967 = 3184*n - 43305 for n.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -1283699?\nAnswer: 36\/1283699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 7. Let v(p) = -1. Let w(c) be the first derivative of c**2\/2 - 4*c + 3. Let j be w(-2). Let d be 1\/(-2) + j\/12. Give d*z(f) - 6*v(f).\nAnswer: -f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b + 4. Let x be n(-6). Let q = -3 + 5. Let p be (1*q)\/((-6)\/(-21)). Calculate the highest common divisor of x and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 7. What is the nearest to -2\/3 in r, 1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1. Let t(z) = z - 3. Let x(s) = -3*i(s) + t(s). Let b(p) = 4 - 4 + 0*p**2 - 3*p**2. Give b(x(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/x**2*x*x)*x*x*x**4*x*(x\/(x*x**4))**(-24))**(-11) assuming x is positive.\nAnswer: x**(-1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 11 (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.75 - -6.7500031. What is i rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*4\/(20\/55). Let o(b) = -b - 3. Let g(x) = 4*x + 11. Give z*o(r) - 6*g(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**4\/114 + 5*x**3\/19 - 26*x**2\/19 + 3*x + 28. Factor b(z).\nAnswer: -2*(z - 13)*(z - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.039 - 0.961. What is the second smallest value in -2\/5, 6\/11, 0.2, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3712951 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyf when three letters picked without replacement from {p: 1, y: 3, k: 1, f: 2, o: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 2*n**2 - 4*n + 37*n**3 + 31*n**3 - 71*n**3 in the form a*n**2 + g + r*n**3 + j*n and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -2 - -12)\/2. Let b = -3 - -3. Suppose -2*k - 4*r + 29 = r, b = v*k + 2*r - 41. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*z = -21. Let f(d) be the third derivative of 1\/6*d**4 + 0 + 0*d + 5*d**2 + 1\/15*d**5 + 0*d**z. Find the second derivative of f(t) wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 6*q**2 + 7*q + 14. Suppose -3*x - 3*p = -x - 14, -3*x + 5*p + 21 = 0. What is the units digit of c(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 139 + -11. Calculate the remainder when i is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1346697*r**2. Let x(a) = -2*a. Determine t(x(j)).\nAnswer: 5386788*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 5)*(-u**3 + 2*u**2 - 2*u**2) + (-128 + 94*u**3 + 128)*(-1 - 21 + 4) in the form d + h*u**3 + r*u + z*u**2 and give h.\nAnswer: -1690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 3*r**3 - r**3)*(2*r**2 + 15*r**2 + 0*r**2).\nAnswer: -17*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*h + 38 = 0, 2*a + 2*h - 120 = -32. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -552, -1174, -2044, -3162?\nAnswer: -4528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(1\/(3\/24)*(-1511)\/(-166210))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 231\/132 + (-1)\/(-4)*1. Let u = 7 - a. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**2 - k**2 - 2*k**2 + 5*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -3, 2, 11, -511 in ascending order.\nAnswer: -511, -3, 2, 11, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = -3. Suppose 0 = r + 10*r + 385. Find the common denominator of y and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110921, -110923, -110925, -110927?\nAnswer: -110929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 - -53. Suppose -x = 4*a - 5*a. What are the prime factors of a?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 13. Let c be o(-9). Let k be 1*3 - ((-30)\/c + 42009). What is k rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7313640 and 3720?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6937 and -162?\nAnswer: 162.6937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 328 = -2*a - 2*g, 5*a - 5*g - 730 = 0. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3 = 2*k - 1, 3*q - k + 1 = 0. Let o be (-2)\/8 - q\/(-4). Let r be (-3)\/(2 - 5) + 4 + o. Solve 5*m + r = 3*d, 3*m + d - 3*d + 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 - 837 + 654 + 183. Let g(t) = -920*t. What is g(v(z))?\nAnswer: 1840*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11570 and 390?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/9217 or 1?\nAnswer: 14\/9217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 2*o = -3*f + 10, -2*o = -2*f + 4. Solve 5*c = -0*c - f*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/15)\/((-2)\/5) + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -153033?\nAnswer: -153034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/14)\/(-6)*35. Solve -4*p - 4*i - 14 = c, i - 14 = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s - t - 9 = 0, 0 = 5*s - 4*t - 15. Suppose -y + 62 = y + 3*o, s*y - 93 = -5*o. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 + -95. Does 10 divide 2380\/84 + (-2)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/550 and -9\/17930?\nAnswer: 89650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217712?\nAnswer: 2, 11, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96752.78 millilitres to litres.\nAnswer: 96.75278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25323787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(85))\/(sqrt(30)\/(sqrt(12)\/sqrt(2))).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/23 in 0.3, 4, -10, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 + 88. Let o(s) = 8*s**2 - 2*s**c - 101*s + 10 + s**3 + 93*s. What is o(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 212.\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 divided by 64?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 2*w + 5. Let k be (-4)\/7 - 93\/21. Let f be p(k). Suppose 25 + 115 = 7*g. Calculate the highest common divisor of g and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -467 * 2328.\nAnswer: -1087176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 6:34 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 5:00 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-1\/2)*a)\/a*a)\/a)**(-6)*a**(-3\/5)\/(a\/(a\/a**(-1\/2))))\/((a**0*a)**(-39)*(a*a**(1\/3)*a)**(1\/33)) assuming a is positive.\nAnswer: a**(41411\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -0*z - 11*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 6924.\nAnswer: 55392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 8 - 2 + 10.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300698 and 15562.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213 - 42*h - 3*h + 46*h - 213.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2\/15, -0.3, -2\/13, 1\/9, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*o - 13211 + 13211 to u*o + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*(-2 + sqrt(2057) + 0) + -2)**2.\nAnswer: -528*sqrt(17) + 18577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 0.129?\nAnswer: 0.00903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m = 21. What is the highest common factor of m and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39740829 is divided by 223?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4 + 156*a**3 - 1252*a**2 + 2724*a - 1624 = 0. What is a?\nAnswer: 1, 2, 7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1328\/187 + -79\/17. Find the common denominator of r and (-10 + 1)\/(55\/(-15)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6961996?\nAnswer: 2, 1740499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 14.8, 0.02, 5 in decreasing order.\nAnswer: 14.8, 5, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -466, -1032, -1812, -2800, -3990?\nAnswer: -5376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 125848949 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -70*i**2 + 55*i + 55. Let o(w) = -155 - w - 3*w**2 + 151 + 8*w**2 - 3*w. Let m(a) = 4*n(a) + 55*o(a). Let u(c) = 5*c**2. Determine u(m(v)).\nAnswer: 125*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -42*50134\/(-84) - -16.\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1829.1995 - 0.1995. Let s = 1859.322964263 + -30.322889363. Let v = o - s. Round v to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**3\/3 + 23486*o**2 + 224386298*o + 906262362614\/3 = 0.\nAnswer: -16813, -1603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 563676570*p**4 + 185740945 wrt p.\nAnswer: 2254706280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.041 and -15.3?\nAnswer: 0.6273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-255)\/6*(54 + (-2176)\/40).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51552953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88448, 88459, 88484, 88529, 88600, 88703, 88844, 89029?\nAnswer: 89264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ellbeleelbbelbll. What is prob of picking 3 e?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 305176 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -3. Let g = q + -10. Suppose -14 = 6*h - 2. Is h less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 10134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m - 1. Suppose 7*b - 5*b = 4. What is the remainder when 360\/14 - b\/(-7) is divided by y(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 8 + (12 - 24) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -5*l + 2*s, 3*l - 77 + 23 = -5*s. Solve m - 8*n + 4*n = 13, l = 5*m + n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*6*(sqrt(70) + sqrt(70)*2))\/(sqrt(40)\/(sqrt(16)\/sqrt(64))).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.4 - -13.9. Let f = a + -8. Let v = -1.43 + f. Round v to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 + 1263*g**2 + 1 - 13*g - 1264*g**2 - 2*g**4 + g**3 to the form n*g**4 + w + v*g + s*g**3 + u*g**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1809112, 5, 0.2.\nAnswer: 0.2, 0.4, 5, 1809112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*y + 766 - 1342 + 654.\nAnswer: 38*y + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) - (2*(sqrt(170)*1 + sqrt(170) - sqrt(170)) + sqrt(170) - sqrt(170))))\/(((sqrt(120) - 1*sqrt(120)) + sqrt(120))\/sqrt(12)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4629 = 4*o + 4859, 0 = 5*o - 30. What is the remainder when v is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.92 - -5. Let x = -0.1 + w. What is x rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000080932 rounded to seven dps?\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 8*g**2 + 7*g - 13. Give t(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 230204?\nAnswer: 460408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**4\/2 - 38470*p**3 - 230880*p**2 - 461800*p - 307880 = 0 for p.\nAnswer: -2, 15394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 136, -23, 0, 3, -1, 2 in decreasing order.\nAnswer: 136, 3, 2, 1, 0, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Let l(u) = u - 18. Let v be l(18). Let h(p) = -2 + p - 8*p + v*p + 6*p. Give h(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2330.721 to 0 decimal places.\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 597. What is the lowest common multiple of b(33) and 22?\nAnswer: 5478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 522 and 144?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.21 - -1.21. Is r at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*a + q + 33, -3*a + 9 = 5*q. Let z(m) = -2*m**2 + 19*m - 22. Let f be z(a). Solve 0 = -0*p - p - f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -18, 0.2, -5, -23, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 6765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1511 in 0, -1, -24, 2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 16.916. Let l = r + -0.116. Suppose 10 = -5*t + 25. Which is the third biggest value? (a) 4 (b) l (c) 2\/9 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 3*l + 3*l)*(-2*l + 3*l + 2*l) + (238 + 15 + 289)*(-2*l**3 - 1 + 1).\nAnswer: -1078*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -12*c**3 - 4*c - 1. Determine r(2).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.228 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k + 129. Let y be q(18). Differentiate 21730*u**2 + 99*u**y - 21730*u**2 + 53 with respect to u.\nAnswer: 297*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 174, 258, 328, 378, 402?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 50.49.\nAnswer: 50.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 3:29 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 + (-34)\/8. Let b be (10\/m)\/((-3)\/6). Suppose -t + 3*u + b = 0, -10 = -2*t - 4*u - 0. Solve -g = -t*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 - 12*h**2 + 13*h + 12. What is o(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -144 - -143.289. Let y = -0.78 - w. Round y to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z + 58. Calculate o(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 4*k**2 - k**2)*(k**2 + k - k) + k**4 + 2*k**4 - k**4 + (-3*k + 0*k + 2*k)*(0*k + 3*k**3 + 0*k) - 337*k**2 + 10*k**4 - 8 + 335*k**2 + 3*k**4.\nAnswer: 14*k**4 - 2*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72480220 divided by -4?\nAnswer: -18120055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -9600255?\nAnswer: 1\/9600255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**3 - 210*j**2 - 129*j - 9027. What is r(-70)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 9 - 3 = 0. Suppose -2*w + 10 = -2*b, -s*w - b = 1 + 4. Suppose -4*k + 186 - 2 = w. What is the remainder when k is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z = 5*t + 90, -137*t = -138*t - 5*z - 51 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**4 - 220*m**3 - 2630*m**2 - 4620*m - 2205 = 0?\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -9*j**2. Let f(u) = -6513*u + 20. Give f(g(o)).\nAnswer: 58617*o**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 44144351 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 72*j**2 - 225*j + 138. Calculate the remainder when 273 is divided by r(75).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -1049.\nAnswer: 1048.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(68)\/sqrt(4) + sqrt(17))*-5.\nAnswer: -35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241863041.\nAnswer: 7, 1423, 24281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -61875000 rounded to the nearest 1000000?\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 239703 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 220713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v - 4. Let q be j(2). Let b be q\/(-22) + (-178)\/(-11). Suppose 0 = 4*f - 75 - 501. What is the highest common divisor of f and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30997 and 446?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 1)*3*-1. Let y(a) = -2*a**2 + 28*a - 24. Let k be y(12). Suppose -310*n + 304*n = -k. Solve -h*f + 20 = u, -u - 15 = -n*f - 0*u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*s, 5*d + 5660 = -4*s + 5682 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 11*y - 20. Determine q(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2636111*w**2 + 559 - 559 + 149816*w**2.\nAnswer: 2785927*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/3, 9\/4, 0.2.\nAnswer: -0.5, -1\/3, 0.2, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 63\/16528 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 9*a**2 - 2*a - 8. Give u(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -224 + 225. Suppose 2*c**2 - q - 18 - 4 - 22*c + 0 - c**2 = 0. Calculate c.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9 - 70\/30\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72034 is divided by 181.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 43194.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -161?\nAnswer: -20\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -194*s**2. Let n(f) = 2*f. Determine r(n(i)).\nAnswer: -776*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -44383 (b) -2\/53 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzz. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j + 5*j - 4*j)*(-6 + 7*j + j - 10*j) + 2 - 2 - 5*j**2 in the form l*j + h + u*j**2 and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 640 - (7 + (-91)\/7). Suppose 0 = -3*a + 986 + k. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + 2*s. Let y(d) = -d**2 + 12*d - 9. Let j be y(11). Let x(n) = -698*n + 698*n + j*n**2. What is x(f(v))?\nAnswer: 8*v**4 - 16*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1\/322 (b) -0.2 (c) 2\/9 (d) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 27 + 12)*(3*o**5 + 2*o**5 - 4*o**5).\nAnswer: 57*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 1. Let s be m(11). Let y = 24 + s. Solve -3*a = i + 1, -a - 3*i + y = -4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-5 - (-4 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from {a: 6, q: 1, k: 1, w: 9}?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddpdqddddjdq. What is prob of picking 1 d, 1 j, and 1 q?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 712943743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjc when three letters picked without replacement from {c: 4, y: 2, j: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {b: 2, k: 2, s: 2, w: 4, g: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 75.59 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*-3.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 11:05 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2044556178 to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 80 - 341 = 0. What is the greatest common factor of w and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 40*h**3 - 17*h**2 - 50*h - 39. Calculate p(-2).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*d**2*h + 452*d**2*r**2 - d*r**3 - 38604*h*r**2 - 7*r**3 wrt d.\nAnswer: -12*d*h + 904*d*r**2 - r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 129 + 65. Suppose -2*g = 2 - h, 5*y = 2*g - 6. Solve 0 = m - y + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - 13. Let x = -83 + 122. Let c = u + x. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 211960 and 0.9.\nAnswer: 211960.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -2, 0 in decreasing order.\nAnswer: 0, -0.03, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 7*n + 170. Let j be 5 + (n\/(-9) - 8). Factor -8\/9*k - j*k**2 - 2\/9.\nAnswer: -2*(k + 1)*(3*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - 5)\/(8\/52). Sort u, 1, -1, 2 in descending order.\nAnswer: u, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-424)\/(-3) - 10\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (110\/(-66))\/(2\/(2*-6)). Let d be 3\/7*70\/z. Suppose 0 = -3*c + 2*m + 21 - 3, 5 = -c - d*m. What is the least common multiple of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -629.81 times -0.5?\nAnswer: 314.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3624055 is divided by 21070?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 2*b - 58*b**2 + 56*b**2)*(-5 - 10 + 11)*(0*b**3 - 2*b**3 + 3*b**3).\nAnswer: 8*b**5 - 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 28*f - 10. Let w(b) = -21815828 + 21815828 + b. Determine c(w(z)).\nAnswer: z**2 + 28*z - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 1. Let n(d) = 3*d**3 - 6*d**2 - 7. Let z(q) = 6*j(q) + n(q). What is the units digit of z(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 418 or 417?\nAnswer: 417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.804798 minutes in nanoseconds?\nAnswer: 288287880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -74990 to the nearest 1000.\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 537*d + 1 - 278*d)*(-1 - d + 1).\nAnswer: -259*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556 is divided by 426?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -224 + 503. Suppose 3*l - 81 - m = 0. Suppose -7*c + l = -2*c. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2 = -2*f - 7, -4*c = 20*f - 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**5 - 889*s**2 + 917*s - 4?\nAnswer: -40*s**3 - 1778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 + 7.6. Let r = -7.9 + a. Let t = r + 1.3. What is the closest to 0.3 in 0.3, -2, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 6:37 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2014 and -32\/209?\nAnswer: 22154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**3 - 7*r**3 + 2 + 2*r - r**3 + 6*r**3 to a*r + w*r**2 + s*r**3 + c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 4*k + 2*k)*(-3*k + 3*k + k)*(2*k**2 + 5*k**2 - 6*k**2) to o*k**4 + h*k**2 + n*k + g*k**3 + p and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4\/19*p**3 + 2\/19*p + 36\/19*p**4 + 36\/19 + 2\/19*p**5 - 72\/19*p**2 = 0.\nAnswer: -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/5? (a) -6\/7 (b) -2\/17 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Suppose 2*y = y + l. Let r = -6\/29 + 100\/203. Which is the nearest to 0.1? (a) y (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6292 is divided by 2090?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48657397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4776689*r**5 - 2*r**3 + 7005600*r**2 wrt r?\nAnswer: 286601340*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**4\/12 + 3*h**3\/2 - 5*h. Let v be o(6). Suppose 5*q = 5*g, q - 3*g + 4 = -0*g. Solve 0 = -5*p - v - q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10000000101 (base 2) to base 14\nAnswer: -537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 579101184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/((-12658)\/158225)\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - ((sqrt(104) - (-4*sqrt(104) + sqrt(104))*3) + sqrt(104)))\/((sqrt(64) + -3*sqrt(64))\/sqrt(8)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 1037816611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 9:07 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0191549 rounded to 4 dps?\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l*n**3*q + 5449772*l*n*q + 2*n**3*q + 2*n**3 - 33*n**2*q - 9898*n*q wrt l.\nAnswer: n**3*q + 5449772*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3821, -64\/17, 2, 1\/46.\nAnswer: -3821, -64\/17, 1\/46, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35830*f**2*x**2 - 14202*f**2*x - 2*f + x**2 wrt x.\nAnswer: 71660*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {v: 2, h: 1, p: 3, a: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2120.1 - -2120. Let g be -2*7\/4 - -1. Sort g, -10, v in descending order.\nAnswer: v, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81038939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16121936051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13712031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.92 - -0.08. Let y = 1 - 3. Let u = 416 - 416. Which is the biggest value? (a) u (b) 1\/7 (c) y (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwwwhhh. Give prob of picking 2 h and 2 w.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 - 7*m - 1. Let o(u) = -13*u**2 + 20*u + 4. Let v(n) = 17*h(n) + 6*o(n). Let r = -8 - -6. Let p(t) = 3*t**2 - 2. Give r*v(b) - 7*p(b).\nAnswer: -b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1797, 1788, 1767, 1728, 1665?\nAnswer: 1572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8\/9 (b) -3 (c) -1 (d) -31 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**2 - 9*y + 25. Calculate the remainder when f(4) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 29*f - 114. Suppose -21*p + 234 = -8*p. What is the units digit of l(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7901046 and 3?\nAnswer: 7901046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8619920947.\nAnswer: 11, 137, 5719921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(6\/62*2) - 5. Suppose -8*y + 105 = 13*y. Put 43, m, y, -1 in descending order.\nAnswer: 43, y, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54613\/27 + -2025. Let p = y + 2833\/540. What is the common denominator of 2\/((-188)\/122 + 2) and p?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21b61f (base 16) to base 10\nAnswer: -2209311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0. Let v = -0.271152 + -0.028848. Which is the closest to f? (a) -5 (b) -12 (c) v (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -2 (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005022669 rounded to seven dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 3, w: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*k - 3 = 0, 0*p - 2 = 2*p + k. Put -2, p, -6 in increasing order.\nAnswer: -6, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16952c (base 14) to base 7\nAnswer: -6514655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, -2, -1825, 9, -1 in descending order.\nAnswer: 12, 9, 0, -1, -2, -1825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 8, 2, -1, 3 in increasing order.\nAnswer: -12, -1, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -15*p + 2. Let z be c(-1). Let o(b) = b**3 - 17*b**2 + 3*b - 12. Calculate the remainder when o(z) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 1029*m**3 + 147*m**2 - 168*m - 36 = 0.\nAnswer: -2\/7, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 0 (c) 2.5543 (d) 3\/7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2, 16, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2275\/8376 - -7\/349. Which is smaller: n or -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2773?\nAnswer: 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15029*t**6 - 2*t**5*z**2 - 8*t**2*z**2 - 5177*z wrt t.\nAnswer: 1803480*t**3 - 120*t**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*46\/6*2. Let l(r) = 17*r**2 - r - 2. Let j be l(2). Let t = j - w. What is the least common multiple of t and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*n - 23899 = -3*d, 5*n - 11967 = -2*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 911980.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 208 = 27*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117526*l**2 + 0*l - 117534*l**2 + 0*l.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/165*(-1)\/2*6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1187*a**2 + 2592*a.\nAnswer: 2374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546 = -193*t + 219*t for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593497?\nAnswer: 1593497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4534 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -7. Let n = -6 + 4. Let w be (-1)\/6*30\/n. What is the nearest to -1\/3 in v, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -8 - -23 - (-5 + 26 + -3 + -2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(-13)\/n)*n*n**(6\/19)\/n assuming n is positive.\nAnswer: n**(291\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1106*w + 5787 = 402*w - 125*w - 1128 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57796807891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124 and 465?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -25.2. Which is the second biggest value? (a) 2 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -14805 (b) -0.3 (c) -1\/5 (d) -0.02 (e) -1 (f) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.3 - -15.7. Let h = z - 33.58. Round h to two dps.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17428035 divided by -61151\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142420421 by -143.\nAnswer: -995947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8*w - 117. Let m be r(-17). Suppose f + 4*z + 135 = 0, m*z + 429 = -3*f + 15*z. Is -145 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167 divided by -1288\nAnswer: -167\/1288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 337 - 74. Let c = d + -261. Solve -k = -2*q + 7, -c*q + 3*q - 11 = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 8*c + 3. Let u be a(8). Suppose -u*s - 2*s - 240 = 0. Does 16 divide 0 + s\/(-4 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 8. Let h = 0.43 + -0.03. What is the closest to 0 in 0.3, h, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21 - 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21868, 0, -2, 4 in increasing order.\nAnswer: -2, 0, 4, 21868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*p - 174*p + 40*p)*(-5 + 1 + 3) in the form n*p + r and give n.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (0 + (1 - -2)) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**2 - 16*o**2 - o**2 - 3*o**2.\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from pkrgt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is aa2 - 19?\nAnswer: a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2269 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:48 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12)\/(20\/(-64)) + -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -22*k**4\/3 + k. Let g(p) be the first derivative of p**3\/3 - 3703. What is b(g(x))?\nAnswer: -88*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 = 10. What is l in 16*l**x + 13*l + l**3 + 10*l**2 + 2 + 14*l**3 = 0?\nAnswer: -1, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h - 69 + 35 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -15.8?\nAnswer: -31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 4)*-2 - -877. Suppose 3*u - z - 1133 = 0, -n = -5*u + 5*z + 1022. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11300 (base 5) to base 14\nAnswer: -42d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(2 - 2 + 4)*(374311*v + 206*v**2 - 374313*v + 74*v**2).\nAnswer: 2240*v**2 - 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*p - 185648, -5*u = -2*p - 0*u + 92846. Let w = -66897 + p. Is w\/(-15) - (8\/5)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 3*k**3 - 5*k**3)*(4 - 3*k - 4) + 6*k**4 + 15*k**3 - 5*k**3 - 7*k**3.\nAnswer: 15*k**4 + 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-36))\/((-174)\/696). What is the nearest to -33 in t, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -2. Suppose 4*u - 15 = -5*l, 5*l - 13 = -3*u - 3. Suppose -u*m - 2*k = -0*m - 23, m - 4 = -k. What is the smallest common multiple of d and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 5:07 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -480 + 478 - 1193*f - 2961*f - 912*f. Let s(g) = -2*g**2. Determine s(h(a)).\nAnswer: -51328712*a**2 - 40528*a - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/1*9\/(-18). Let x = 16 - 16. Solve x*y = y - k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 12*f - 2 - f)*(2*f - 3*f - f)*(2*f**2 - f**2 + 4*f**2).\nAnswer: -70*f**4 + 20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/104 and 115\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(5) - (sqrt(720) - sqrt(20))) + (5*((sqrt(104) - -3*sqrt(104) - sqrt(104)) + sqrt(104)))\/sqrt(8).\nAnswer: 179*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2184 or 2182?\nAnswer: 2182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 9465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 - (0*(-3)\/9 + -6) and -2*2\/(-8)*8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3 - 7*i**2 + 744*i = 0.\nAnswer: -31, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4006221 nanometers?\nAnswer: 0.0000004006221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -13*t. Let s(k) be the first derivative of 6*k**2 - 136. Calculate -3*p(q) - 4*s(q).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1691*o**2 + 82*o - 81. List the prime factors of b(1).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309527348 is divided by 3775.\nAnswer: 3773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699846 to the power of 1\/2, to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.603865ng to tonnes.\nAnswer: 0.000000000000001603865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 24 - 9. Let b(f) = -f**2 - 9*f. Let p be b(-10). Let r = c - p. Put r, -2, 5 in ascending order.\nAnswer: -2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + (-11 - -5) + 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -111300022231 (base 4) in base 14?\nAnswer: -a86165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2*u = 5 + 5, -2*u - 1309 + 1299 = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 195 = 7*b. Suppose -5*t + 3*f + 344 = 137, -3*t = 5*f - 199. What is the remainder when b is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1672 - 1665. What is the nearest to -4 in 2\/3, a, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 + 2129 + 32*f - 2129 - 7*f**3.\nAnswer: f**3 + 32*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8, -10, 10, 70, 188, 382, 670, 1070?\n\"Answer: 3*p**3 - 7*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**3 - 21*x**3 - 4*x - 46*x**3 + 2*x.\nAnswer: -60*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/12760 and -97\/39040.\nAnswer: 12453760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*k = -8*m + 20, 0 = -m - k + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - ((-5 - -6) + 0). Suppose 0 = 3*r - z - 283, -a*r + 360 = 2*z + 80. Let h = r - 93. Solve 2*f - f = -h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*a - 2. Let o(d) be the first derivative of -d**2\/2 + d + 3. Let v(r) = -3*r + 2. Determine a*v(c) + 4*o(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + (300\/(-14))\/5 and -54\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-20))\/(20\/(-336))*-15. Let k = f + 61. List the prime factors of k.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 126440*f + 9580560.\nAnswer: 5*(f + 76)*(f + 25212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 742407 to the power of 1\/2, to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00937 to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7228*p**4 - 653*p**3 + p**2 - 17669300 wrt p.\nAnswer: -28912*p**3 - 1959*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 1. Let c(r) = 52*r - 20. Let g(l) = c(l) + 20*t(l). Let a be g(3). Suppose 0 = 2*k + 26 - a. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*q + g + 72, 0 = -q + g + 18. Calculate the least common multiple of 2 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85401946 to the power of 1\/2, to the nearest integer?\nAnswer: 9241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 44647.\nAnswer: -133941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1632 + 4287. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpu when three letters picked without replacement from {u: 2, o: 1, p: 1, f: 1, x: 2, m: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 0*i. Suppose 0 = s + 5*h - 8, 3*s = -0*s + 4*h + 5. Suppose 0 = -3*w + s + 9. Solve a = -i*a - w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2579 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 86339983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, 1, 5, -10 in decreasing order.\nAnswer: 9, 5, 1, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -61902.01 to the nearest 1000.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -54*(15 - (-91)\/(-6)). Solve 75*v = 72*v - q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 75*b**2 - 69*b - 6 = 0.\nAnswer: -2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*k + 209*k - 164 = 69*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 11. Suppose -5*r - 1220 = 3*h, -k*r - 5*h = 773 + 457. Let x = r + 383. Does 29 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14264 and 37?\nAnswer: 527768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 20 = x, 7 = -m + 6. What is the remainder when 140 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4823, 4821, 4819, 4817, 4815, 4813?\nAnswer: 4811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*3*6*((2 + sqrt(320) - sqrt(320)) + sqrt(320) + 2)*4)**2.\nAnswer: 24883200*sqrt(5) + 130636800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/6)\/((-33)\/9 + 3). Suppose 13*z = f*z. Let h be (10\/3 + -3)*(4 + -4). Solve h = 2*i - z*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 2:21 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1138*m**2 - 3*m + 3*m + 565*m**2 + 572*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 686 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-7 + 11)) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 128294 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 2*p**2 - 2*p - 5. Let i be y(-2). Which is the closest to 0.3? (a) 1\/4 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596157087 to the power of 1\/2, to the nearest integer?\nAnswer: 24416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmf when three letters picked without replacement from fmmmmfmmddm.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Let c be (57\/(-4))\/(2\/(-8)). Suppose -2250 = -8*i - 10*i. Let f(b) = c*b + 57*b - i*b. Give s(f(o)).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 15, u: 5}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -j, 283 = 3*y + j. Find the first derivative of -53*i**3 + 92 - 290 - 77*i**3 - y*i**3 wrt i.\nAnswer: -669*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23309070721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v + 87. Let p = v + 263\/3. Factor -2\/3*g**3 + p*g**5 + 2\/3*g**2 + 0*g + 0 - 2\/3*g**4.\nAnswer: 2*g**2*(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d4 (base 14) to base 11.\nAnswer: 15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -253\/2 + 1269\/10. Let v be 4\/16 - (-255)\/260. Sort v, -3, x.\nAnswer: -3, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12327.\nAnswer: 3, 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140475560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 119 - 171. Let k be (296\/(-14))\/(((-24)\/(-14))\/(-6)). Let b = r + k. What is the smallest common multiple of b and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*d - 23*d + 71*d + 87*d + 29*d.\nAnswer: 205*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - a = a + 217, 2*a + 288 = -4*i. Let m be ((-9)\/(-18))\/((-3)\/(-438)). Let h = i + m. Solve h*b = -b - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1039\/4 + -2171\/8. Suppose 8*q - 15*q + 142492 = 0. Let k = q - 366289\/18. Find the common denominator of k and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00561 rounded to four decimal places?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -3\/10955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -2\/361, -163, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 23\/4 (b) -5 (c) -1 (d) 0.4 (e) -50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*f - 45*f - 30 = 0. Solve -24*m + n + 5 = -27*m, -f*n = 5*m + 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.5, -5, -0.1, 32 in decreasing order.\nAnswer: 32, -0.1, -0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((40\/20)\/4)\/(10\/(-16)). Which is the nearest to -1? (a) -3\/5 (b) 6 (c) 0.2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/2*76\/(-57). Suppose -2*t + 4*t - a = 0. Find the third derivative of -7*x**t + x**2 + 6*x**2 - 6*x**2 wrt x.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2668*m + 142117 - 56211 = -162218 for m.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 2*h**2 - 8*h - 1. Let j(f) = -73*f**2 - 11. Let o(s) = -40*s**2 - 6. Let u(q) = -6*j(q) + 11*o(q). Determine l(u(p)).\nAnswer: -8*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -12*t**2 - 4*t + 8. Let b(a) = -7 - 2*a - 9*a + 11*a**2 + 14*a. Let u(m) = 5*b(m) + 4*x(m). List the prime factors of u(-3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*i - 4*i**4 - 3*i**2 + 5461*i**3 + i**2 - 5430*i**3 to the form g + z*i**4 + q*i**2 + f*i + s*i**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**2\/2 + 14*g - 6. Calculate the lowest common multiple of 104 and x(-2).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a**2 + 19*a - 23. What are the prime factors of s(7)?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 85120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 15 = -c. Let a(s) = -5*s**2 + 27*s - 4. Let u(q) = 14*q**2 - 77*q + 12. Let p(l) = -17*a(l) - 6*u(l). What is p(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1045, 2800, 5971, 11266, 19393, 31060, 46975, 67846?\nAnswer: 94381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1091*f**2*o**2 + 15*f**2*o + 29*f**2 + 4*f*o**2 - f*o - 6*f wrt o?\nAnswer: -2182*f**2 + 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9919.2137 rounded to the nearest integer?\nAnswer: 9919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 70 = l + 4*l, 5*l = -3*v + 48. Let u be (-39)\/12*(2 + -22). Suppose -5*a - u = -5*s, -s + 4*s = -4*a + v. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 6, 20.57, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1412122 (base 5) in base 11?\nAnswer: -1a8a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1534 + -12?\nAnswer: -1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 14. Let t(u) = -4*u - 5. Let j be t(4). Let p be n*(-1 + (-24)\/j). What is the third biggest value in p, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wk when two letters picked without replacement from {w: 3, k: 2, i: 2, d: 1, s: 3, j: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 10\/3*j**2 - 97 + 8*j - 1\/3*j**4 - 8\/9*j**3. Solve b(a) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8966.00009343 - -8966. Round h to 6 decimal places.\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*x - 152256*a - 124578*x**2 - x with respect to x.\nAnswer: 2*a - 249156*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -5*m + 38. Let u(k) = 1420*k - 17. Is u(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -2, 4\/121, 0.0055, -2\/35?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*g = -115*g + 3*u - 16, 5*g - 58 = -4*u for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2 + 55070*k - 151635245 = 0. What is k?\nAnswer: 5507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 510.96 + -1229.37. Let k = t - -723. Let s = k - 47.39. What is s rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*w = -w + 24622, -w + 123062 = -5*k. Let b = k - 34388. What is b rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0774329 * 18.\nAnswer: -1.3937922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4039*n - 4030*n + 27 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 14 = 16*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40306346 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 54560000 = 4*t. Round t to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2. Let u(v) = -6*v - 3. Calculate u(w(j)).\nAnswer: 18*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 4, -5*s - 738 + 712 = -2*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/37859 - 1248135\/15295036. What is the common denominator of c and 11\/4?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 554374989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**4\/6 - 2*j**3 + 11*j**2. Let l be r(3). Solve l = 2*t - 6 + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1401 = 7*q - 3044. Calculate the highest common factor of q and 508.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 258\/(-3870)*(-20)\/92\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-30))\/((-1)\/3). Let h = 0.02 - -0.08. Let k = -1352 + 1354. Which is the closest to h? (a) 3 (b) f (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 985858 and 46793?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - k - 2. Let h(u) = -116*u**2 - 11*u - 8. Let t(f) = -4*a(f) + h(f). Let y(m) = 2*m**2. Calculate t(y(s)).\nAnswer: -432*s**4 - 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18\/144*-20*-1*-2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 1 + 8. Let r = 2893.2 - 2893. Which is the closest to r? (a) -0.1 (b) -3\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8954.146 millennia to decades.\nAnswer: 895414.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-4 + -1 - (5 + 10 + -14))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 divided by 12?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4992, -4977, -4930, -4833, -4668, -4417, -4062?\n\"Answer: 3*u**3 - 2*u**2 - 4993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6982705.\nAnswer: 5, 1396541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 259*j**4 + 0*j + 0*j - 256*j**4 - 2*j**3 - 4 in the form d*j**4 + z*j**2 + k*j + g*j**3 + l and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 - 55. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z**2 - 3*z - z + 11*z**2 - z**4 + z**3 - 3*z**3 to the form m*z**4 + j + s*z**2 + y*z + u*z**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2367*u**2 + 2371*u**2 - 4763*u**2.\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 y when three letters picked without replacement from {g: 2, y: 2, r: 3, b: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2828673 by -3.\nAnswer: 942891","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 6509776 divided by 116246.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 568254.5 micrometers in millimeters?\nAnswer: 568.2545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116 - 9 - 19)*(0*c**3 + 5*c**4 + 0*c**3).\nAnswer: 440*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12 + 0.88. What is the nearest to j in -0.5, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3\/4, 7, -1\/257?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.177 take away 0.257?\nAnswer: 27.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 119101.8\nAnswer: 476407.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1480 - 29599\/20. Let r(g) be the second derivative of 29*g + 3\/2*g**2 + 0 - 3\/2*g**3 - 1\/2*g**4 + o*g**5. Give r(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -44*x + 47*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 2476?\nAnswer: 2472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t*z**2 - 13055*t*z + 5*t - 94837*z**2 wrt z?\nAnswer: 2*t - 189674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y. Let a(z) = -171032*z. Determine a(n(s)).\nAnswer: -855160*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82 + 82*k + 82 - 30*k to the form m*k + v and give m.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1010304 + 157434 = -10*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 5*a - 57 = 0, -2*a + 41 = 2379*w - 2374*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1781171184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) 1\/8 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 208797008 to the power of 1\/3, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -242 - -246. Suppose 0 = -i*l - 2*t + 180, -5*l = 5*t - 140 - 75. Which is greater: 48 or l?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/9))\/(a\/a**3)*((a\/(a**(7\/3)\/a*a)*a)\/a*a)\/a*a*a**(2\/5) assuming a is positive.\nAnswer: a**(148\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -26438\/5 less than or equal to -5287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 357 + -352. What is the second biggest value in s, 1\/5, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2592848, -5185619, -7778390, -10371161?\n\"Answer: -2592771*f - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 11 = 4*s - 7, 4*w - 2*s - 4 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -2) + (-23 - -55) + -20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 9*m**2 - 4*m. Let c(r) be the second derivative of -17*r**4\/12 + 3*r**3\/2 - 34*r. Let g(s) = 3*c(s) + 7*i(s). Calculate g(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-594)\/(-792)*(-8)\/10 - (-308)\/(-20).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -5*l - 2*y + 7, -5*y + 10 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21147369 by -3.\nAnswer: 7049123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33074.5 milligrams to tonnes.\nAnswer: 0.0000330745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1094\/6 + 14\/21. Suppose 10*s - 47 = h. What is the third derivative of 47*r**6 + 8*r**2 + 8*r**2 - s*r**2 - r**6 wrt r?\nAnswer: 5520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001100 (base 2) to base 16\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6) - 20\/(-6). Suppose -5*b - 3*r = -1125, 2*b - 555 + 105 = r. Suppose -b = 12*o - 57*o. Solve -n = -o*y + g + 5, 4*y - 4*g - 20 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 + 3*q + 2. Let m be f(-2). Let r(z) = z**3 - 7*z**2 - 7*z - 12. Let w be r(m). Put 4, w, 3, -1\/7 in ascending order.\nAnswer: w, -1\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29858619163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 704 and 7360?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 16, v: 4}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 15.5, 93, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1850098789 to the nearest integer?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1310 - 116 = -70*a + 324 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a (base 13) to base 14.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 7*d + 4. Let j be n(-4). Suppose -j - 1 = -z. Suppose -4*c + 5 = -2*c - s, s = -5*c + z. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 599 divide 5062581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -18 + (-42 - -38) + 5 + 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*h + 21, -2*h = -3*t - 0*h - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, l: 3}. What is prob of picking 3 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5244, -20999, -47256, -84015, -131276, -189039?\nAnswer: -257304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.602740427 rounded to three dps?\nAnswer: -1.603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-14))\/(-5*(-4)\/(-28)). Put -1, 0.045, c in decreasing order.\nAnswer: c, 0.045, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/16 in -0.3, 2\/9, 4, -247, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -65*h + 1097. Determine j(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/918951 and 133\/18?\nAnswer: 5513706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 731*c - 3*y = 734*c + 33, 60 = 4*c - 4*y. Find t, given that -2\/7*t**4 - 16\/7 + 40\/7*t + 2*t**3 - 36\/7*t**c = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 1:43 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and 8.6.\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n + 30 = 0. Let o = -1081 + 1096. Solve n*x - o = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9133 (base 10) to base 14\nAnswer: 3485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.289 less than 0.1?\nAnswer: 2.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63771\/(-6597) + -15*(-132)\/162.\nAnswer: 23\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Suppose -n + 8 = -2*q - 0*q, -s*q - 16 = 0. Suppose 0 = j - 1, 2*b - 5*b - 4*j - 2 = n. Which is smaller: 1\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1840648 and -64\/3?\nAnswer: 5521944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 60d58b (base 15) to base 7\nAnswer: 54053051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*v + 13 - 2*v - 8*v + 5*v wrt v.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102 - 146.5. Round g to the nearest integer.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -3493, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1727415 and -167\/690?\nAnswer: 3454830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -4, -49, -146, -313, -568, -929, -1414?\nAnswer: -2041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24905 = 2*h + 3*h. Let f = 49707\/10 + h. Let l = -141\/2 - -75. What is the common denominator of f and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - -33762?\nAnswer: 33746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -921*n**3 - 3*n**2 + 33*n - 17. Let p(u) = -230*u**3 - u**2 + 8*u - 4. Let c(y) = -9*p(y) + 2*s(y). What is the hundreds digit of c(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/77112 and 181\/642600.\nAnswer: 1927800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 - -47. What is the closest to 1\/2 in 3, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -497, -1130, -2027, -3194, -4637?\nAnswer: -6362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -68.6 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 19*q - 10. Suppose 2*n - 7*n = 85. What is the tens digit of i(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -537*k**5 + 3*k**2 - 262*k?\nAnswer: -32220*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 19*m + 10. Let g be p(-9). Let j be g\/(1\/5 + (-8)\/90). Suppose 18 = j*s - 8*s. What is the greatest common factor of s and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -95. Suppose 0 = -l*m + 94*m + 67. Let k = m - -55. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (sqrt(88) - (sqrt(88) - -1*sqrt(88))) - sqrt(88))*-5)\/(sqrt(1152) + -2*sqrt(1152)).\nAnswer: -5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-51)\/((-3672)\/(-352))).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3 - -2) + -16. Let f(s) = -3*s + 14. Let t be f(v). What is the greatest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -108 - -111. Suppose 62 - 1106 = -f*d. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.97 - -12.97. Which is the nearest to -6? (a) 4 (b) n (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26 and -18151.594034.\nAnswer: -18125.594034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*i, 56 = 4*s - 1316367*i + 1316379*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -49. What is the remainder when 1 + 30 - (25 + y) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r + 7. Let z = 130 + -125. Suppose b + z*k + 8 = -0*b, 12 = -4*k. Calculate the remainder when y(-6) is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - 9*p + 7*p**3 - 6*p**3 + 4*p**2.\nAnswer: p**3 - 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 45?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*c**2 + 65*c**2 + 761*c - 761*c - 154*c**2.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 49\/294*((-16)\/22 + 1). Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i + 67. Let w be u(-14). Let m be -1 + w + (-5 - -12). Solve 4*h = m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1972.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/(-6))\/((-11)\/958). Let o = 305 - f. Let m be 4 + -4 - (1 - 1). Which is the biggest value? (a) m (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 18*c**2 + 4*c - 5. Is r(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1879.725759 to the nearest integer.\nAnswer: -1880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -495 by 5.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/3 - 131582*x**4\/3 + 1442774699*x**3 + 8657042944*x**2\/3 + 4328587264*x\/3.\nAnswer: x*(x - 65792)**2*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 55*z**2 + 557*z + 3066. What is l(-44)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3136*o**5 - o**3 + 1908*o**2 + o + 4270066 wrt o?\nAnswer: 62720*o**3 - 6*o + 3816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**3\/5 - 69*t**2 + 711*t\/5 + 1053\/5 = 0. Calculate t.\nAnswer: -117, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 1)\/(-23 + 21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + q**2 - 6*q + 4. Let t be d(0). Solve -2 = b, 25 + 3 = -5*j - t*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -344*g**2. Let z(j) = -376689*j**2. What is z(r(y))?\nAnswer: -44575869504*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c**2 + 5*c + 676.\nAnswer: -10*c + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 12:13 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110101 (base 2) to base 10.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/(-42))\/(1\/(-4))*3. Let y be (9\/12)\/(57\/(-6) - j). Let t(l) = -l + 1. Let v be t(1). Are y and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from owwj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 277303134 a multiple of 1035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/5*((-10)\/125)\/(2\/10)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 411 and 27.\nAnswer: 3699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from vkvkkk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 41 - 24 - 31 - 2*n. Let l be v(-13). Let t = 7 - 4. Solve 4*u + t*z + l = u, 4*u + 16 = -z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2328 and -0.339?\nAnswer: 2328.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(48\/8)*9\/(-15)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (7 - 2)*2208\/120 and 10?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - ((-3)\/(-3) + 472). Let m = u - -670. What is the remainder when m is divided by (41 - (0 - -2)) + 1?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1709*l + 24. Let i(c) = -1140*c + 15. Let d(o) = -5*b(o) + 8*i(o). Let p(r) = -8*r. Give p(d(j)).\nAnswer: 4600*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -2 (c) -32 (d) 4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 25.8809.\nAnswer: 25.9809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -17. Is q\/(1 + (-58)\/54) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 40*j**2 - 45*j.\nAnswer: 5*j*(j - 9)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -17. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q - 21. Let j = -4 + 7. Suppose 12 = -t - j*l, -4*l + 22 = -2*t - 3*t. Let h be f(t). Solve -c = 5*b - 25, 2*c = h - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -88. What is the highest common divisor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + 10. Let s = -45.6 + n. Let d = -5.6 - s. Sort -2, -5\/3, d in descending order.\nAnswer: d, -5\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -545712.1851 and -0.00057.\nAnswer: -545712.18567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*z + 41610 + 108210. What is the remainder when z is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -441*f**4\/4 - 406*f**3 + 321*f**2\/2 + 18*f - 797. Determine q, given that h(q) = 0.\nAnswer: -3, -1\/21, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57399 (base 13) to base 7.\nAnswer: -1231011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5712556394.\nAnswer: 2, 28351, 100747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25136 (base 7) to base 8.\nAnswer: 14701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19\/55 - 969\/220. Let d = k + 59\/12. Sort -9, -2\/5, d in decreasing order.\nAnswer: d, -2\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3396, -4, 7 in descending order.\nAnswer: 12, 7, -4, -3396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1540 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136 - -7. Let x = -40 - q. List the prime factors of x.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37\/76? (a) 0 (b) 0.5 (c) -1 (d) 0.4 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 942*z - 1880. Calculate p(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 634*f**2. Let y(h) be the second derivative of -5*h**3\/2 - 997*h + 4. What is y(n(q))?\nAnswer: -9510*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-7))\/h*h*h**(-11))\/(h**10*h*h*h*h**(1\/9)*h*h))**33 assuming h is positive.\nAnswer: h**(-3179\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.90669 nanometers to meters.\nAnswer: 0.00000008790669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*z**3 + 4*z**2 - 374*z**3 + 178*z**3 - 5*z**2.\nAnswer: -641*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 386.514 meters to nanometers.\nAnswer: 386514000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5121 and -3.1.\nAnswer: -5124.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2289 - -2324. Solve 33*p - v*p = 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174*0.13.\nAnswer: 22.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8 = i, i = -3*k - 2*i. What is the third derivative of -4*g**2 - 2*g**3 - k - 1 + 975*g**4 - 988*g**4 wrt g?\nAnswer: -312*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2. Let v(g) = 3931*g**2 + 135*g + 1. Give v(a(i)).\nAnswer: 3931*i**4 - 135*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 584 = 2*w. Suppose 5*n = 9*n - w. Suppose 0 = -5*h + n + 7. Solve 0 = -4*i + 2*r + 14, -2*r + h = 4*i - 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5576 and 4879?\nAnswer: 39032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 2, 5, 325 in descending order.\nAnswer: 325, 8, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4955704*m + 4955630*m + 3182 = 0 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 0*a - 2*a + 8, a - 20 = 2816*c - 2813*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8324734 and 1067?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 7*o + 29. Calculate the lowest common multiple of q(5) and 24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317375995 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) -20 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20107338 - 0.5624.\nAnswer: 20107337.4376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -56 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 5. Let y be (-7)\/((-63)\/6) - (-7)\/(-6). What is the nearest to y in -0.3, i, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1451, 0.29, 0.5, 0.4, 2\/23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -14, -3171, -14\/3, -0.5?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 1459*h**7\/210 + 1003*h**5\/60 + 1091*h**2. What is the third derivative of w(s) wrt s?\nAnswer: 35016*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.3 - 3.2. What is the nearest to 2\/5 in c, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 6. Let x be (-16)\/6*4*(-9)\/24. Let c be k(x). Suppose c*a = -2*h + 28, -32 = -3*h - 5*a - 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148687 divided by -1950\nAnswer: 148687\/1950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -713 or 783682?\nAnswer: 783682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -329255670 + 1372008396199\/4167. Let p = i - 21\/926. Calculate the common denominator of p and 87\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 653*s + 569*s + 750*s + 0.\nAnswer: 1972*s - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 96 and -1029312.545?\nAnswer: 1029408.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-126)\/28*8\/(-3). Factor 10*v**4 - 3*v**5 + s*v**2 + 5*v**3 - v**4 + 16*v**3 - 3*v**4.\nAnswer: -3*v**2*(v - 4)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 44\/8)\/((-165)\/75 - -7).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(171)*-3 + (1 + sqrt(171))*5 + sqrt(171) + 4)**2.\nAnswer: -486*sqrt(19) + 13932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2425472*o**3 + 48121*o + 39.\nAnswer: 14552832*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*t**4*u**2 - 3*t**2*u**3 - 469*u**3 - 2*u**2 with respect to t.\nAnswer: -216*t**3*u**2 - 6*t*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3659542710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -210101010 (base 3) in base 2?\nAnswer: -11110011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -301 + 54. Let y = g + 250. What is the nearest to 0 in 1, y, 0.2, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 6*l + 119. Give v(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h. Let k(t) = -2*t. Give -3*i(a) - 5*k(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10\/29 - -47\/116. Factor -1\/4*f**2 - 1\/2 - q*f.\nAnswer: -(f + 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4 + k**2 + 7*k - 5 - 9*k**2 + 0 + k**3. What is n(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -13*v - 21. What is the remainder when r(-8) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j + 256 + 500 = 0 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15141 (base 6) in base 16?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 2, 101, 4, 52.\nAnswer: 2, 4, 38, 52, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 113943106.\nAnswer: 5\/113943106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 132\/2310 - (-173)\/35. Sort -12, 0, m, -4.\nAnswer: -12, -4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 2 = 11*c. Suppose -b = -2*w + 125, 7*w = c*w + 2*b + 315. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**3\/2 - 186*u**2 + 1142*u + 3024 = 0?\nAnswer: -378, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*x**4 + 38*x**4 - 2*x**3 + 37*x**3.\nAnswer: 5*x**3*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)\/(p*p\/(p**(-8)*p)*p*p))\/((p**(-3)*p)\/p*p*p**(-1))*p**(1\/2)\/(p\/((p**(-3)\/p*p)\/p))*((p*p\/(p**(-1\/3)*p))\/p)\/p**(1\/5) assuming p is positive.\nAnswer: p**(-611\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 301 - 298. Put -1, -2, j, 10 in increasing order.\nAnswer: -2, -1, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 444 divided by -111\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 8:25 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**7\/1260 + a**6\/80 + a**5\/30 + 2*a**2. Let p(h) be the third derivative of s(h). Is p(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (-3*sqrt(76) + 3 + sqrt(76)))*2.\nAnswer: -6 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -768 + 1394. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.76 + -3.5. Let g = 0.07 - 0.01. Let a = n - g. What is the third biggest value in a, 0.3, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 divided by 331?\nAnswer: 461\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 98339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/480*-30*(10\/5)\/(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, 2, -3, 2.06, -2.26?\nAnswer: -2.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3 - 172*z**2 + 293*z - 118 = 0. Calculate z.\nAnswer: -59, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 457797156?\nAnswer: 457797156.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 + 88*c + 126. What is r(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.5 or 1\/50?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3191.632219 rounded to the nearest 10?\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000042050073 to 7 dps.\nAnswer: -0.0000421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 221476, 221472, 221468, 221464?\n\"Answer: -4*x + 221480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/84011?\nAnswer: 4\/84011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 12*t + 42. Calculate i(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*x = 7*x + i + 11, -27*x + i = 81 + 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 - 121. Let n = -5\/1438 - -358087\/7190. Let d = f + n. What is the nearest to -1 in d, -2, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 115, 136, 177, 244, 343?\n\"Answer: n**3 + 4*n**2 + 2*n + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3*z = 10, -3*o + 3*z - 25 = 5*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77035574, -77035572, -77035570, -77035568, -77035566?\nAnswer: -77035564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 6\/3 - 0\/66. Do 1\/236 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7*(-4)\/8*-28.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3483, 3275, 3067, 2859, 2651?\nAnswer: 2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 = 5*w - f + 2*f, -w + 3*f + 69 = 0. Suppose q = -4*o - 0*q + 81, -4*q = -3*o + w. Is 42\/49*o*1 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 18. Find z, given that 2*z**5 - o*z**5 - 15*z**2 - 5*z**4 + 0*z**5 + 2*z**5 + 25*z**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -23 - 5 - (-1 + 1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 - 5. Let c(g) = -2*g**2 - 6. Let f(l) = -5*c(l) + 6*k(l). Let h(b) = -4*b - 8*b + 0*b + 20*b + 2. Determine h(f(d)).\nAnswer: -16*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 2*y**3\/3 - 3*y - 27. Let j = -1 - 2. Is a(j) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047191 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -4 - (6 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-6))\/(264\/66)*1530\/(-2652)\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - 265\/(-1))\/(2\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 1785*c**2 + 1776*c - 3564.\nAnswer: 3*(c - 1)*(c + 2)*(c + 594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1143, 1037, 937, 843, 755, 673?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 625230\/13 or 1?\nAnswer: 625230\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, 363, -12\/31?\nAnswer: -12\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*p - 7, 4*k + 1 = 5*p - 5. What is f in 0*f**2 + 3*f - 2*f**p + f + 0*f = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11*q + 1. Let l be s(-8). What is the second derivative of 10371*o**3 - 10371*o**3 + l*o - 57*o**5 wrt o?\nAnswer: -1140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557 + 0*f - 2*f - f + 5*f + 2303*f**3.\nAnswer: 2303*f**3 + 2*f - 557","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1537 + -1537. Let z = -0.3 - -0.2. Which is the nearest to t? (a) -1 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t + 5. Let s(c) = 5*c - 4. Let x(z) = -4*o(z) - 5*s(z). Let l(r) = 32*r. What is l(x(b))?\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47783 and 6613571.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 34. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 350493?\nAnswer: 2453451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 3:00 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 9*r**2 + 9*r + 9. Let b be i(-8). Let q = b + 237. List the prime factors of q.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2.6, 4, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j = -82*j - 255. Suppose 3*n + 169 = -2*k - 2*k, 0 = -5*n + 4*k - 271. Let x be ((-4)\/j)\/((-22)\/n). Solve l + x = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**3 - 184*i**2 + 634*i + 572. Give p(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1525 - 15249\/10. Put -24, 2\/11, l in increasing order.\nAnswer: -24, l, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 - -5 - (-20 + -52).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/((-1)\/6). Let n(l) = -l**3 + 22*l**2 - 19*l - 42. Let x be n(21). Put x, -3, f in descending order.\nAnswer: f, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/7, -0.1, 514, -2 in descending order.\nAnswer: 514, -0.1, -1\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(76) + 3)*2.\nAnswer: 6 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 6*s - 1. Let a be q(-4). Suppose -a = -5*u - 4*h, -6*h = 3*u - 4*h - 51. What is the highest common factor of 30 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33319185.\nAnswer: 3, 5, 409, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 650725779?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2*i + 2)*(-8 - 8 - 1) - 1 - i + 1)*(7*i**4 - 5*i**4 - 4*i**4).\nAnswer: -66*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7 = -3. Let k(f) = y - f + 0*f - 4*f + 8*f. Let m = 565 - 562. Determine k(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (310\/(-124)*(-136)\/(-30))\/(-4).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -9. Suppose 350 = -6*p + 1274. What is the highest common divisor of t and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74 and 82.\nAnswer: 3034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a**2 + 9*a**2 + a**4)*(-2 + 0 + 5 + (1 - 2 - 1)*(3 - 5 - 1) + 6 - 4 - 3 - 13 + 8 - 4).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g + 2 = -32*g. Suppose -11*x + g = -10*x. Solve 5*o = x - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*r + 3*i - 4*i, 0 = -3*r + 5*i + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-2) + (3 - 1) + -2. Suppose 0 = a*x - 4*x, -5*y = -5*x - 10. Factor -q**y + 5 + 3 + 4 + 5*q - 16.\nAnswer: -(q - 4)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 smaller than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*z**4 + 17*z**4 + 24*z**4 + (5*z**2 - 2*z**2 - z**2)*(-5*z**2 + 2*z**2 + 5*z**2) + 0 + 0 + 2*z**4.\nAnswer: 86*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19241 divided by 64.\nAnswer: 19241\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1329 + 1250. Let f = -1.05 - -0.05. Put f, 4, p in ascending order.\nAnswer: p, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2980974 or 2980969?\nAnswer: 2980969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r - 1456 = -55*r. List the prime factors of r.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 381?\nAnswer: -38.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*u**5 + u**4 + u**2 + 30*u wrt u.\nAnswer: -1920*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5*n + 24 = 0, 9*n - 13*n - 18 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5518 + 5502.1. What is the biggest value in -1\/2, 0.1, 4, 1\/6, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 59 + -11192e?\nAnswer: -1118c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*l + 765, -3*w - 374 = -4*l + 646. Let j = l + -200. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11755141.\nAnswer: 11755141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1298*h - 5. Let x(i) = 4. Let c(v) = -n(v) - 3*x(v). What are the prime factors of c(1)?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03712 + 0.03288. Sort 0.3, z, -0.5, -9 in decreasing order.\nAnswer: 0.3, z, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2352670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110 + 113. Suppose 2*r - 4*r - 51 = -p, 4*p + n*r - 160 = 0. Calculate the smallest common multiple of p and 2.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 272 + -268. Put 0.5, 6\/35, -3, s in increasing order.\nAnswer: -3, 6\/35, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -119, 3, 111, 199, 261?\n\"Answer: -g**3 - g**2 + 132*g - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 34396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5228.265kg in milligrams?\nAnswer: 5228265000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.6361054288 - -0.2\nAnswer: -0.4361054288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 100100001000111111 (base 2) to base 7\nAnswer: 1154402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(78)*-1*-4)\/sqrt(6) + 3) - (-5 + sqrt(13) + -1 + 3 + 1)*4.\nAnswer: 20 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*q**2 - 22*q - 331*q**2 + 5*q - 16*q.\nAnswer: 2*q**2 - 33*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**10\/(a*a\/(a**(-7\/3)\/a)) assuming a is positive.\nAnswer: a**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) -0.3 (b) -15.216 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1246*g + 14432 - 1114 + 15340 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2619*c - 39300. What is l(15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*h + 2)*(-2*h**3 + 3*h**3 + 6*h**3) + 11*h**4 + 22 - 22.\nAnswer: 32*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-3*5 + (sqrt(76) + sqrt(76)*-2 + sqrt(76))*3)\/((sqrt(96)\/(-2*sqrt(3) - sqrt(3)))\/(sqrt(968)*1)))**2 + -2.\nAnswer: 4655473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/6*(611\/26 + -22) - 6.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-2 + (-8)\/(-2)). Does 7 divide (-6)\/(-3) - (t - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140 (base 5) to base 8\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.612 + 0.012. Let i = -1.1 - z. What is the third biggest value in i, 1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -3.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*y - 6*y = 148 - 393 - 64 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 568 from 6.\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**2 + 4*b + 4. Let f = 6 + -2. Let j(y) = y**2 + y + 1. Let o = -5 - -3. Let m be o\/12 - (-5)\/(-6). What is f*j(q) + m*z(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-105)\/(-42)*6\/(-5) + 14178. Suppose -188*g + d = -179*g. What are the prime factors of g?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 5*l**6\/2 + 9*l**2\/2 - 57. Find the second derivative of y(p) wrt p.\nAnswer: 300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -10\/81, 1, -51114?\nAnswer: -10\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**4\/4 - 3*w**3 - 3*w**2 + 5*w - 2. Let k be h(-7). What are the prime factors of 2\/(-3) + k\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41\/(2665\/(-26)))\/(8\/(-10)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g**2 + 14*g - 2. Let c be k(12). Let y = 807 + c. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -136, -205, -274, -343, -412?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 254*z - 4 - 85*z - 1 - 87*z - 85*z. Let k(n) = -3*n - 3*n - 6 - 3. What is -3*k(p) + 5*r(p)?\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w + 4*h - 16, -13*w + 10*w + 9 = 3*h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 7*t - 13*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 38, -36\/13, 0.304 in decreasing order.\nAnswer: 38, 5, 0.304, -36\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*(11 + -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 4*c + c - 1)*(0 + 30 + 0)*(-13*c**2 - 13*c**4 + 13*c**2).\nAnswer: 780*c**5 + 390*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4294985987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a kilogram in grams?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**3 - 2*d**2 - d. Let u be r(-1). Solve 3*c + m - 17 = 0, -8*c - 5*m + 45 = -u*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*s = -3*q + 23, -5*q = s - 59. Suppose -5*k = -q - 4. Let f(d) = -14*d**2 + 2*d. Let v be f(k). What is v rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9*t**2. Suppose 0 = 3*g + 4*k - 43, -3*g + k + k = -19. Let a(i) = g - 17 + 3*i**2 + 8. What is z(a(d))?\nAnswer: -81*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) + 1)) + (sqrt(18) - (sqrt(1800) + 0)))**2*6.\nAnswer: 324*sqrt(2) + 8754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -75*x - 6. Let v(r) = 4*r - 1. Determine -q(d) + 4*v(d).\nAnswer: 91*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 7\/4, 19, 2, -3\/4 in ascending order.\nAnswer: -3\/4, 0.3, 7\/4, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/((68\/(-16))\/(10\/15)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 5*t = 2. Let g be (t\/6)\/((-1)\/(-2)). Which is the nearest to g? (a) 0.3 (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 5*k - 6. Let l be y(-5). Let u = l - -8. Let r(s) = 5 - u + 2 + s. Let m(q) = 1. Give 6*m(c) - r(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/522 and 71\/16.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -43*o - 43. Let i(v) = -2*v. Let p(s) = -i(s) - r(s). Let q be p(-7). Let j = q - -438. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -91099*s**2 - 6 - 2*s**3 - 4*s + 91004*s**2 + 4*s in the form x*s**3 + m + t*s**2 + o*s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -41. Put -4, p, 2 in increasing order.\nAnswer: p, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7127447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Let c = 99 + -57. Suppose -r*j = -2*j - c. Does 25 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3103408312?\nAnswer: 2, 107, 3625477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 4*x**2 + 5*x + 4. Let n be m(5). Let k(b) = -2*b + 1 - 4 + 2*b + n*b. Give k(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438526 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from {a: 10, k: 1, g: 2, m: 1, d: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1006, -2013, -3030, -4063, -5118, -6201, -7318?\n\"Answer: -z**3 + z**2 - 1003*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1324 + 1093 + 2046*w**4 + 1526*w**4 - 2625 - 3*w**2 wrt w.\nAnswer: 85728*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 13 - 1 = -4*v, 5*m + 2*v - 10 = 0. Suppose 13 = -c + 2*c + 4*k, -m*k = -5*c + 17. Solve -c*o + 20 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98400 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -20*h**2 + 9*h - 102. Let q(i) = -6*i**2 + i + 4. What is -4*q(a) + w(a)?\nAnswer: 4*a**2 + 5*a - 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 916.\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + 14 - -16) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 4. Let z(b) = -4*b**3 - 4*b**2 + 4*b + 3. Let w(u) = 5*u**3 + 5*u**2 - 5*u - 3. Let t(o) = 3*w(o) + 4*z(o). Let h be t(-2). Calculate r(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-14)\/(-133)))\/((-121)\/(-242))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 6*k + k)*(-3 + 0 + 0)*(4 + 2 - 4) + 47*k + 55*k + 60*k.\nAnswer: 168*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 25*r**2 + 40*r + 960. Let a(t) = t**2 + 2*t + 48. Let o(y) = 20*a(y) - u(y). Let q(z) = 6*z + 19. Determine o(q(f)).\nAnswer: -180*f**2 - 1140*f - 1805","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q - 3*q + 5*q - 6*q. Let j(w) = -w**2. Determine j(i(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*i - 13, 0*l + 3*i - 70 = -5*l. Calculate the remainder when -2 + 0 + (45 - 1) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c + 36. Let w be j(10). Suppose -5*x - 4*t + w = -19, -4*x = 3*t - 76. Solve -x + 4 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216091, -216101, -216111?\nAnswer: -216121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40\/1491 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*i - 318 = 91*i - 46*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q**3 + 30*q**2 - 20*q - 26. Let r(p) = -6*p**3 + 31*p**2 - 20*p - 27. Let z(a) = 5*f(a) - 4*r(a). List the prime factors of z(25).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-6) + 255\/(-54) and 22\/(-55)*1510\/(-48).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from {d: 4, i: 1, m: 5, e: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*v + 14 - 3 = -80*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -42. Is ((-1)\/a*-6)\/((-87)\/(-2900)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 12*r**2 - 10*r + 12. Let z be w(11). Let y(n) = -z*n**2 - 29*n**2 + 36*n**2. Let x(k) = -k**2. Give y(x(d)).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-3))\/(1*18\/((-324)\/6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -64784, -64751, -64718, -64685, -64652?\n\"Answer: 33*h - 64817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 + 115. Suppose -2*d = 4*b - 14, -2*d - 18 = -5*b - 4*d. What is the highest common divisor of i and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(0*o + 4*o + 0*o) - 2*o + 0*o + 0*o - 38 + 1168*o + 67 - 29.\nAnswer: 1162*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 1592*c**3 + 19*c + 46*c**2 + 1592*c**3 + 2*c**4 + 0*c**4 wrt c?\nAnswer: 24*c**2 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 716 divide 318796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 112 = 2*h. Suppose 293*v = 274*v + 2907. Let z = v + h. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2 - 4*w + 6. Let v be j(-6). Suppose 8*l - 102 = v. Calculate the smallest common multiple of 27 and l.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 10. Let z(n) = 2*n**2 + 8*n + 5. Let m be z(-4). Let s be c(m). Sort -4, s, 2 in decreasing order.\nAnswer: 2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmb when three letters picked without replacement from bbbmmmbbmb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 13*t - 5. Let q be c(-8). Let a = q + 117. Calculate the least common multiple of a and 38.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**7\/630 - r**6\/72 - r**5\/30 + r**2 - 38*r. Factor d(a).\nAnswer: -a**2*(a + 2)*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4894 + 3.0894. Which is the nearest to -0.1? (a) -0.4 (b) s (c) -2 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4096 and 15148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66251.\nAnswer: 97, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(2*u - 5*u + u) + 4*u - 5*u + 3*u - 4 + u + 4 + (5 - 3 - 3)*(-2*u + 5*u - u) - 3*u + 4*u + u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -21*t + 8*t - 48*t**2 + 61*t**2 - 17*t**3 - 2. Let l(o) = 8*o**3 - 6*o**2 + 6*o + 1. Calculate 6*b(g) + 13*l(g).\nAnswer: 2*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 2 + (-1 - 4 + 3)*(-2 + 3 + 0))*(-3*u**3 + u**2 - u**2).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 - -58. Let k(x) = -x**3 - x**2 + x + 8. What is k(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 15. Let z be 4\/((-20)\/p + -1). What is the remainder when 47 is divided by z\/(-15)*(-45)\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l + 34*l - 15*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193\/3 - 65. Which is the closest to x? (a) 4 (b) 2\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 33 = 5*z. Calculate the highest common factor of z and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/25 (b) -0.3 (c) -9 (d) 21 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -137*o - 16. Let v be x(-2). Suppose 372 + v = 14*y. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 1\/6*g**4 - 4\/3*g**2 - 1\/45*g**6 + 4\/9*g**3 + 0 - 1\/15*g**5 - g. Factor j(o).\nAnswer: -2*(o - 1)**2*(o + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42 + 0)\/(0 - 1). Suppose -3*q = -c - 9. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -7 (c) 5 (d) 6 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-6)*(-8 - 263). Let t = q - 225. Are 1 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/108559269 and 68\/83083?\nAnswer: 1194151959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3376077?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2105*f**2*h + 11*f**2 - f*h - 32*f - 14979*h + 24535 wrt h?\nAnswer: -2105*f**2 - f - 14979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -16.8. Let o = -17.200099 - p. Round o to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*25*(-1)\/(-1). Let a = -20 - i. Find the third derivative of 3*x**2 - 11*x**5 + 2*x**2 + 2*x**a + 3*x**2 wrt x.\nAnswer: -540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333 and 513.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.07, -167, -0.113, -0.1, 0.4?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 763 + -761. Find the third derivative of -14*n**q + 600*n**3 + 0*n**4 + 0*n**4 - 1266*n**3 + 3*n**5 + 635*n**3 wrt n.\nAnswer: 180*n**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1420362.0202 and 1124?\nAnswer: 1421486.0202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.53179941 - 50.36817729. Let s = k + 54.9. Round s to 6 decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**2 + 9*c**2 - 7*c**2)*(-3 - c**2 + 3*c**2 + 0).\nAnswer: 18*c**4 - 27*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -196506695*y**5 - 24691912*y - 5.\nAnswer: -3930133900*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/4 - g**4\/24 + 11*g**3\/6 + 7*g**2. Is a(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 126*c. Let i(m) = 2203*m. Calculate i(t(u)).\nAnswer: 277578*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -73\/60160 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3 - 184*w**2 + 4576*w - 15488 = 0.\nAnswer: 4, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 677 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8151016, 8150886, 8150756, 8150626, 8150496?\nAnswer: 8150366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 3 (c) 0 (d) 3\/10 (e) 2\/487 (f) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*z = -88*z + 16*z. Let p(s) be the first derivative of -22 - 1\/4*s**2 + 1\/3*s**3 - 1\/8*s**4 + z*s. What is h in p(h) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 287233.\nAnswer: 1436165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1098608 and 138992?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 13. Calculate the least common multiple of y(22) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/3)\/((-1)\/4). Let u be -300*(16\/12 - 2). Let h be (16\/u)\/((-6)\/10). Sort h, -3\/4, p.\nAnswer: -3\/4, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101191?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Let p = 8 - -4. Let j = 11 - p. Which is the nearest to 0.1? (a) -0.4 (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*-1*6)\/sqrt(7) + -2.\nAnswer: -6*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 0 + 7\/24*z**4 + 0*z**3 + 0*z - 69*z**2. Let s(h) = 4*h. Calculate s(r(k)).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 845 and 676.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 + 3*l + 2. Let d be t(-2). Let o(y) = -d*y**2 + 3*y + 11*y**2 - 4*y. Let i = -36 + 31. Determine o(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (24\/32)\/((-12)\/32) - -8 and 141.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010010010000 - 1110001010?\nAnswer: 1011000100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201391357 + 26*p**2 + 201391357.\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743 is divided by 57?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6986.8mg in tonnes?\nAnswer: 0.0000069868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*-1*sqrt(176)*5 + (-1*(2 + sqrt(176) + 2))**2) + 2.\nAnswer: -264*sqrt(11) + 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 2:14 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*d**3 + 2*d**3 - 3 - 2*d**2 + 3*d**3 - 2*d**3 + 4*d**3 + 12*d to the form n*d**2 + r + j*d + w*d**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 13 + 67 = 0. Let v be (-2)\/4*b\/2. Suppose -v*z = -3*f + 12, -3*z + z - 21 = -3*f. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -257 + 190. Let i = s - -102. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752) - -5*(sqrt(4752) - 3*sqrt(4752)))\/((sqrt(75) - (sqrt(75)*2 - sqrt(75))) + -1*sqrt(363)).\nAnswer: 108*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(63)*1 + 5 - (1*sqrt(336))\/(sqrt(3) + sqrt(432)*-2))**2.\nAnswer: -2720*sqrt(7)\/23 + 531113\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -390178.7 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-24)*(1 + 77\/49). Let z = 0.1 + 0.1. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 + -76. Suppose 18 + 0 = 6*f. Put -5, f, 2, h in ascending order.\nAnswer: -5, h, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -eb + -14?\nAnswer: -ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12311372.\nAnswer: 2, 173, 17791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(15)\/sqrt(3)) - sqrt(119)\/(sqrt(7)*-2))**2*-1 - (4*sqrt(204)*-1)\/(sqrt(1728) - -1*sqrt(1728)).\nAnswer: -153\/4 + sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13224*z**4 + 60*z**3 - 3221242*z**2 wrt z?\nAnswer: 317376*z + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 153*b**2 + 4962*b + 10512.\nAnswer: -3*(b - 24)*(b + 2)*(b + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 136, 3, 2, -15, 1 in decreasing order.\nAnswer: 136, 3, 2, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -4\/740435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + s - 8. Let z(o) = o**3 - 103*o**2 + o - 8. Determine -2*q(f) + 2*z(f).\nAnswer: 2*f**3 - 204*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 891?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w = -o + 23*w + 9, 3*o - 27 = -4*w. Solve o*z = -14*z + 115 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -2 + -8 + 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -2*n + 39, -5526*n + 5527*n - p - 2 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 13) to base 15.\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2323\/(-707) + (-2)\/(-7). Let d(s) = s**3 + 4*s**2 + 5*s + 2. Determine d(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 11:50 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4 = 0, -2*j - 126 = -4*j - i. What is the remainder when j is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -178938688 and 3737.642.\nAnswer: -178934950.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 4*u**2 + 2. Let i be (8\/(-3))\/((-4)\/6). Let w be v(i). Is 126\/9 + w\/(-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 236 = -2*g, g + l = -0*g + 115. Let x = -51 - -87. Let r = g - x. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-6))\/((-548)\/(-60) + (-117)\/13). Let q = -5131\/59 - -87. Sort f, 1, q in increasing order.\nAnswer: f, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1851057?\nAnswer: 3, 13, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/6027268 and 51\/91.\nAnswer: 42190876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q + 110. Suppose -796 - 420 = -5*n - 3*w, -2*w = 5*n - 1214. What is the greatest common divisor of q and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1 (b) 0 (c) 3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (46\/18 + -3)\/(4\/(-174)) and -2\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*s**2*v**2*y**2 - 2*s**2*y - 99*s*v**2*y**2 - 2*s*v*y + 403*s*v - v*y**2 - y**2 wrt v.\nAnswer: 170*s**2*y**2 - 198*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44976.19ms in seconds?\nAnswer: 44.97619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27582*x**4 - 682*x**3 - 3483885*x**2 + 2*x wrt x?\nAnswer: -661968*x - 4092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 0*y**3 + 0 - 4*y**2 - 1 + 5*y. Let w = 13 - -3. Suppose 5*c = -i - 6 - w, -2*c = 4*i - 2. What is q(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f**2 - 42*f - 8. Let k = 6 + -11. Let v(n) = 4*n**2 + 17*n + 3. Let x(q) = k*m(q) - 12*v(q). Let x(a) = 0. What is a?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51*(-14)\/(-462)*-11?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 7*c**2 - 7*c - 3. Let w be u(-6). What is the third derivative of -74 + 0*x**3 + x**w + 74 + 9*x**2 wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52.3 + 55.3. Let d = 0.1 - 0.1. Which is the nearest to d? (a) -1 (b) x (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -101110110110?\nAnswer: -101110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 - 13*p**2 - 5*p**2 + 409*p**4 - 11*p**2 - 13*p**2 - 2*p + 40*p**2 to the form t + l*p**4 + u*p**3 + c*p + r*p**2 and give l.\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 55246*s - 441857. Give w(8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-35)*50 - -8*5\/(-5)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 269\/36 - 56\/9. Which is the second biggest value? (a) 2\/9 (b) 1 (c) -0.2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/7, 18, -0.07, 3, -11?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - -11)*(1 + -12). Is 13 a factor of 130*y\/(-33)*(-30)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 105 + 175. Find the first derivative of -14*b + 10*b + h + 18 wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8751913ml in litres?\nAnswer: 0.0008751913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k = 51*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83847.\nAnswer: 3, 19, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 445 or -14927?\nAnswer: -14927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 1\/15*j**6 + 5*j**2 + 0*j**5 + 0*j**3 + 0 + 8*j + 0*j**4. What is the derivative of s(n) wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.33, 5, 0.2.\nAnswer: 0.2, 0.33, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -803 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**9\/504 + q**5\/12 - 11*q**2\/2 + 9*q. Let b(u) be the first derivative of x(u). Find the third derivative of b(s) wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, h: 2, o: 2, g: 4}. What is prob of sequence ho?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-48)\/(-6 - -12) + 38968 + -7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3057*n - 15280. Give b(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.726*-2.\nAnswer: 9.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.2 + 1.2. Let x = p + 3. Which is the nearest to -2? (a) x (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 6:23 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8383472 is divided by 679?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -0.5?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + 5 + -43 + 10 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*f + 218*f - 110 = 112*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 8*d - 48 = 0. Suppose -5*z + d = 2*r - 7, -53 = -4*r - 3*z. Let f be (-3)\/1 + 0 + r. Calculate the highest common divisor of f and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 3*f**2 - 9*f - 45. Let l be c(8). Calculate the greatest common divisor of l and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2189 - 1842. What is the remainder when s is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(160) + sqrt(160))*-1)\/sqrt(10))\/((sqrt(192)\/sqrt(48))\/sqrt(2)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*j + 12 = 0, 0*p - 4*p - 13*j = -95. Solve -4*x - 5*c = p, 441*x = 439*x - c + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002234 rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 370*q + 1 = -369*q, -10*m + 0*q + 4*q = -20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {b: 2, g: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 14. Suppose -z - 18 = -y*z. Suppose 3*c + 4*q = -14, -2*c + 0*q - z*q - 9 = 0. Let a(v) = -v - 1. Calculate a(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 9*f + 8. Put 2, 5, f in decreasing order.\nAnswer: 5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*4 + sqrt(88))*-4*3)\/((sqrt(2) - ((sqrt(128) - sqrt(2)) + sqrt(2))) + sqrt(4)\/sqrt(2)*-4).\nAnswer: 120*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-144)*16)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/q**(-1\/3)))**(-17))**46 assuming q is positive.\nAnswer: q**(-1564\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/35 (b) -2\/3 (c) 5 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-4 - -2)) + -3 + -5 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 0)\/(11\/44). Let v be -4*((-13)\/c + 3). Let z = 18 + v. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577768?\nAnswer: 2, 72221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -396285, -1585194, -3566709, -6340830, -9907557, -14266890?\n\"Answer: -396303*t**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1514 = 4*u + 1543, -5*u = 2*s + 20. Solve -4*c = 8, -14*c + 11*c = s*r + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/11? (a) 0.5 (b) 0 (c) -8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 i when four letters picked without replacement from {e: 1, i: 12, k: 1}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*o - 5*l - 8, 5*o + 3*l + 12 = 0. Let i = -5 + o. Which is the smallest value? (a) i (b) 2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 301715956, 301715953, 301715950, 301715947?\n\"Answer: -3*k + 301715959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.044 - -16.956. Let h = k + -16.9. Which is the closest to h? (a) 1\/5 (b) -1\/2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9858677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78449115 and 78449115.\nAnswer: 78449115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 431844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.1 - 8. What is the smallest value in -2\/7, a, 4, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -1474.\nAnswer: -25\/1474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1274) - sqrt(1274)*2*6) + sqrt(1274))\/(-2*sqrt(8)\/sqrt(4) - -2*sqrt(2)*2).\nAnswer: -35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*w - 172. Let m = -42 - w. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408\/(-153) - (-11 + 9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 37. Suppose -3*l - 39 = -5*y - m, -14 = -4*y - 3*l. Solve 0*s = -4*w - s - 25, 40 = -3*w - y*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03889 - -0.02889. What is the second biggest value in j, -0.4, 4\/3, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3072535 - 2305?\nAnswer: -3075042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3517858 at most 3517850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-384)\/(-39) - (-2)\/13. Let y be (-75)\/w*2\/(-3). Let r(b) = y*b + 2*b**2 - 6*b - b**3 - b**2. Give r(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o + 25 = 0. Suppose 5*d - 19 = -2*i, -3*i + 7*i + o*d = 63. Let t = i - -45. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)*6)\/sqrt(5) + 5.\nAnswer: 5 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 263369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20221 is divided by 1443.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((1 - -11) + -7)*1332\/15. Suppose -v*n + 454*n - 70 = 0. Solve -21 = -2*h + n*h + 3*r, 0 = h - 3*r - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.11 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -0.029, 0.4, 1\/2?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38316821*y**3 - 14*y**2 + 15332*y - 20 wrt y.\nAnswer: -229900926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 414303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-5)*d**19*d)\/(d**(2\/3)*d**(-6\/13)) assuming d is positive.\nAnswer: d**(1045\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93138164?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1199?\nAnswer: 1199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 767 - 503. Let v = -3597\/142 + -12\/71. What is the common denominator of 2\/(-8) + y\/160 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -0.05.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 4:35 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*x - 1107 = 1035 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10821242\/553081 - 4\/24047. Is -0.1 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6 + 5 - 10*y + 0. Let h(b) = 9*b + 1. Let z(k) = 7*h(k) + 6*o(k). Let f be z(0). Which is bigger: f or 2\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(768)*-4 + sqrt(768) + sqrt(768)) + sqrt(768) - sqrt(768))\/(-5*(sqrt(64) + sqrt(64) + sqrt(64) + 1*sqrt(64) + sqrt(64))))**2.\nAnswer: 1728\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3\/5, -0.0274, 1\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 1075*k + 21139. Determine l(-19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b - -5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**2 + 6. Let t(k) = -5*k**2 + 15. Let o = 0 + -2. Let v(n) = -2*n**2 + 5. Let b(w) = o*t(w) + 7*v(w). Give -7*b(h) + 6*x(h).\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -884756 (base 11) in base 9?\nAnswer: -2581521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 11.51 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 76\/5 of a millimeter?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-13 + 9)) + -2 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**2 - 829. Let u(k) = -k**2. What is -n(d) - 5*u(d)?\nAnswer: -2*d**2 + 829","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 9*g**2 + 13*g - 28. What is j(9)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 5*f**2 - 8*f - 4. What is the units digit of c(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1098 - 2*f**2 + 4*f**2 - 1098.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11653554*h**2*o + 3*h*o + 112855*h + o wrt h.\nAnswer: -23307108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and 7221286 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00056417 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 2*s)*(1 + 2*s - 1)*(2 - s - 2) + 4*s**3 + 0*s**2 + 0*s**2.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2821 = 3*p, 927 = p - 24*x + 19*x. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3528229*i**5 + 10*i**3*p**2 + 1016*i*p**2 + 4*i*p - p**2 - p - 14 wrt i.\nAnswer: 70564580*i**3 + 60*i*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1331) + (sqrt(1331) + -2)**2 - 1*sqrt(11)*-1 - ((sqrt(528)\/sqrt(12))**2 + -3)).\nAnswer: -32*sqrt(11) + 1291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from lllcocxccx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -101 and 75142.\nAnswer: -7589342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Let g(z) = 29326*z. Determine g(m(j)).\nAnswer: 29326*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29177, 29627, 30059, 30467, 30845, 31187, 31487, 31739?\nAnswer: 31937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372 - 5*j**3 + 290 - 476.\nAnswer: -5*j**3 + 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 363*l - 48 = -367*l, 4 = 2*l. Calculate the lowest common multiple of 182 and b.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/15 (b) -164843 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -31.\nAnswer: -18\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 51 + 1 = -n, -5*m = -n + 29. Solve 0 = 86*i - 64*i + n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48977 != 48956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 377 and 1537?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - 10 - 23. Let k(a) = a**3 - 3*a**2 + 3*a + 1. Calculate the remainder when 107 is divided by k(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(66)*-1 + (sqrt(66)*-1*-5 - sqrt(66)))\/(5*sqrt(726)*-4 + sqrt(726) + sqrt(726) - sqrt(726)).\nAnswer: -sqrt(11)\/209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1416)\/(-826))\/((-12)\/(-63)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*c - 126 = 148*c - 74*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 3*r**2 + 6*r - 7. Let l be d(-6). Let u = -101 - l. What is the greatest common factor of 75 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three quarters of a decade?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005174 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2874286?\nAnswer: 2, 709, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(-69)\/(-230)*(-5)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 322 - 322. Solve t*w - 2*w = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + s + 3. Let k(p) = 3*p**2 - 2*p - 7. Let l(m) = -5*c(m) - 2*k(m). What is l(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6520 + -4267. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 28.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.5, -1\/6, -78, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**4\/4 - h**2\/2 - h + 10. What are the prime factors of f(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 111, 161, 213, 267, 323, 381?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 253 + -151. Let g = 102.4 - d. Suppose -20 = -3*p + 5*p + 5*o, -12 = -p + 3*o. What is the closest to 0 in g, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -174741793\/189 - -924528. Let f = x + 215\/7. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -488 + 509. Let r = -4 - -4. Which is the second smallest value? (a) 5 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 4*h**2 + 2*h. Let k be x(4). Let l = 11 - k. Suppose 2*c = l*b + 2, -5*b + 5 = -2*c - 3*c. Let g(u) = -u - 6. Calculate g(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3259 (b) -2 (c) 3 (d) 0.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(18\/(-4) - -1). Which is the nearest to r? (a) -1\/4 (b) 0 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.006 + -0.006. Let w = 24 - f. Which is the second biggest value? (a) 2\/5 (b) -1 (c) 1\/3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*d - 9*d**3 + 13*d)*(6 - 4 - 3 + (0 + 3 - 4)*(-4 + 4 + 1) - 4 + 0 + 3 + 0 + 3 - 4 + 185 + 145 - 95).\nAnswer: -2079*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 20 = 7*g + 4*j, -4*g - 3*j = 4. Which is the closest to -0.1? (a) g (b) 2\/3 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-3)*w))\/w**(2\/7)*w**(-6\/7)\/(w\/w**5*w))**(-48) assuming w is positive.\nAnswer: w**(-1632\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/5)\/((-12)\/(-30)). Let r(i) = 16*i**2 - 21*i - 20. Let s(u) = -3*u**2 + 4*u + 4. Let c(n) = t*r(n) - 11*s(n). Calculate c(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -479868.18 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-4)\/6)\/(336\/420*2\/(-2172)) and 10?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152533678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22011 (base 4) in base 13?\nAnswer: 3a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a - 11. Let y be l(-2). Do y and 1\/45 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s. Suppose -3*n = -3*y - 6, 4*y + 17 = 2*n + 1. Let x(i) = 14*i. Let z(l) = y*x(l) + 17*d(l). Determine z(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 + 111. Suppose -4*p + 20 = 2*r - 0, -4 = x*r. Solve 2*y = p*c - 5*c, -7 = -3*c - y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/28672704 and 19\/12743424?\nAnswer: 114690816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.494 + -0.146. Let y = j + 2.866. What is y rounded to two dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -681.242492 plus 3.77958?\nAnswer: -677.462912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2805700715?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 22*j - 103. Let s = 2385 - 2359. Calculate r(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -740437 at most as big as -740370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d = -2. What is the third derivative of -s**5 - 9*s**2 + d*s**3 - 30 - s**3 - 6*s**2 + 29 wrt s?\nAnswer: -60*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 464 and 160022?\nAnswer: 1280176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 33. Which is the third smallest value? (a) n (b) -2\/3 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5128726 less than 284348?\nAnswer: -4844378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 49*i**3 + 9*i**2 - 9*i + 5. Let u be s(7). Is ((-2)\/6)\/((-6)\/u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 309 and 702100015.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-2457)*-15)\/(-16*16\/5376)\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4396.283 weeks in seconds?\nAnswer: 2658871958.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 325 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*j**4 + 0*j**3 - 6\/7*j**2 + 0*j + 3\/7.\nAnswer: 3*(j - 1)**2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1004583*t*x**2 + 32228*t*x + 5*x wrt x.\nAnswer: -2009166*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13548 divided by 6\nAnswer: -2258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/800 and 71\/1800.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjxpsss. Give prob of picking 2 x and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 16, -13*h - 163 + 163 - 201 = -5*u for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239.32084 rounded to the nearest ten?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h + 47*h**3 - 48*h**3 + 1 - 10*h - 10*h to the form g*h + t*h**3 + r*h**2 + p and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 20 = -4*s, 0 = 5*s - 3*r + 7 - 22. Let i be -57*((-306)\/(-27))\/(-17). Suppose -32*m = 6*m - i. Put s, m, 3, 2 in ascending order.\nAnswer: s, m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1421bb6 (base 12) to base 16\nAnswer: 3d6f7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4164 - -4069. Is -92 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h = -b - 2, -12 = -5*b + 3*h. Suppose -b*g = -9*g. Suppose 5*w + 51 = -g*c + c, -4*w = -4*c + 156. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 7*r - 1. What is i(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = -g, -3*g + 18 = 4*j - g. Let f be j + -1 - (-1)\/1. Suppose -5*m + 63 = 2*t - 0*m, 3*t - f*m = 37. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(65)\/(sqrt(5)*-2) + 0)**2 + -1 + 6*((sqrt(52))**2 + sqrt(13)) + (sqrt(52))**2 + -2.\nAnswer: 6*sqrt(13) + 683\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*f + 56*f + 3 + 13*f - 3.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - -7) + (16 - 30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/((-7)\/14*(-1 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-21 + 15 - (-12 + 3)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1072287 and 71316?\nAnswer: 2547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121757878*j**3 + 126883971*j**2 wrt j.\nAnswer: -730547268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -3 (b) 0.2 (c) 0.056\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -62221, -124481, -186741, -249001, -311261, -373521?\n\"Answer: -62260*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = 3*u + 2*u. Suppose -4*i - 260 = -4*b, 3*b = -5*i + 4 + 231. Let o = b + u. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -322 and 52.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 1649.0829743394.\nAnswer: 1648.6829743394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.6, -4\/3, 4278?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/1*4\/4*1512\/(-420).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12466, -24679, -36892, -49105, -61318?\n\"Answer: -12213*n - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 55 - 65. Let g be (-45)\/(-6)*(-12)\/z. Solve -g*o + 4 = c + 6, 5 = -c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/8*192\/(-18). What is the third smallest value in 0.03, 6\/5, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((6\/(-9))\/((-4)\/6)). Suppose j = 2*l + 150 + 2. Let w = 155 + l. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 755043 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - 4*a + 16. What is r(-6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -52*g**2 + 112*g - 16 = 0.\nAnswer: 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**3 + 0*n**3 - 7*n**3 + (-n**3 + n**2 - n**2)*(-20 - 16 + 11) to p + d*n + a*n**2 + c*n**3 and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-15)*(1 + (-19)\/(-2)). Put 1, 0, f, -1 in decreasing order.\nAnswer: f, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, w: 2, v: 1}. Give prob of sequence ww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2029 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 4*f - 6*a + a, -2*f = -5*a + 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -5 - (0 - 4) - 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 1000101011000011110100?\nAnswer: 1000101011000011101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 5*s - 3*s)*(-2548*s + 2548*s + 372*s**3) to the form p*s**2 + d*s**4 + j + y*s**3 + n*s and give d.\nAnswer: -2976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 2*p + 0*p)*(-2*p + 6*p - 2*p) + 4 - 14*p**2 - 4.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0 (c) 43 (d) -35979 (e) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.5, 3\/7, 2, 5021, -0.001.\nAnswer: -0.001, 3\/7, 0.5, 2, 11, 5021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 294*z + 3254. What is w(-85)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-6))\/((-2)\/(-12)). Suppose -46 = -o - 0*i - b*i, 219 = 4*o + i. Let a = o + 21. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11650 divided by 160?\nAnswer: 1165\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 30091.2ng?\nAnswer: 0.0300912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 13*j**2 - 13*j + 16. Let w be k(12). Suppose -l + w*n = 2*n + 14, -5*l - 50 = -5*n. What is the units digit of (-7)\/((l\/(-3))\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + sqrt(425) + -3 + sqrt(425) - sqrt(425))**2 + 3 + -1.\nAnswer: -60*sqrt(17) + 1711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16196005, 16196000, 16195997, 16195996, 16195997, 16196000, 16196005?\n\"Answer: y**2 - 8*y + 16196012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59525890469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + 3*((sqrt(1216) + 2 - sqrt(1216)) + sqrt(1216)) + (sqrt(1216)*-1)**2 + -5 + 1.\nAnswer: 32*sqrt(19) + 1218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/9 and 97\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(196))\/sqrt(1152).\nAnswer: sqrt(5)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - v**2 + 0*v**2 - 2*v**2. Let b(w) be the second derivative of w**4\/12 - w. Give z(b(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.194*-29.95.\nAnswer: 5.8103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 41*i - 35*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 34\/24 + -2*(-21)\/504\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -24. Let l(d) = d**2 + 11*d - 28. Let y be l(3). Which is the biggest value? (a) y (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from xlfexlxxvnfl?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-160)\/(200\/(-32) - (1 + -7)) is divided by 92?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 24)\/((-22)\/(-6)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 3. Let x be 6\/10 - 56\/10. Let p(w) = -3*w**2 + 6. Let q be (-14)\/(-6) + (-2)\/6. Let z(i) = q*p(i) + x*y(i). Differentiate z(k) wrt k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 12, -28.\nAnswer: -28, -5, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.12 (c) 92 (d) -16.5 (e) 2\/9 (f) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-301)\/258)\/((-1120)\/96)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = u + 5*x, 0*u + 4*x + 19 = u. Let t be 0*3\/9*u. Suppose -4*k + 2*h + 14 = 0, t*k + 10 = 3*k - 2*h. Solve -k*q = 2*c + 4, 5*c + 0*c - 2*q = 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15769 is divided by 6521?\nAnswer: 2727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 4, 0.4, -16\/3, -26?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1. Let f(n) = 3*n + 7 - 3*n - n**2. Let g(z) = -f(z) + 3*x(z). What is the units digit of g(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5850 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*u = -26*u + 255 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {t: 3, g: 2, v: 1, i: 9, m: 3, f: 1}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 1:14 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -438 divided by -9.\nAnswer: 146\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -106630 (base 9) in base 5?\nAnswer: -4021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 6832.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-350) + (9\/(-7) - -1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6039669029.\nAnswer: 7121, 848149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) 21\/4 (c) 0.2 (d) 0.046\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*j**2 - 3*j - 14*j + 17*j in the form n*j + s*j**2 + l and give s.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 d when three letters picked without replacement from wdwdwwwwwwwwwwwwwwwd?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2483\/200 + 306\/25. Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 2*l**2 - l. Let z be u(2). Let y = z - -4. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 712 and 17583908?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8060328.2 rounded to the nearest 100000?\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 293314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76521 - 76521 - 642*u**2.\nAnswer: -642*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 541000 rounded to the nearest 10000?\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 0*x - 5\/4*x**4 + 4\/5*x**5 + 2\/3*x**3 + 0*x**2 - 1\/6*x**6 + 78. Factor k(v).\nAnswer: -v**2*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -10, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 449224 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.53066 weeks in microseconds?\nAnswer: 46890543168000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 56. Let z = 7 + u. Let m = z + -24.3. Which is the nearest to 1? (a) -2\/9 (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6582856 and 47980?\nAnswer: 32914280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3900941492.\nAnswer: 2, 7, 139319339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414353*c - 414355*c = 4*f + 50, 5*f - 3*c = 64 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.032107 + 0.98247. What is l rounded to 3 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-266)\/115 - (-37 + 77952\/2030).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43954 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*k**3*y + 34*d*k**2 - 10*d*k*y**2 - d*y - k**3*y**2 + 2*k*y wrt k.\nAnswer: -6*d*k*y + 68*d - 6*k*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*s + 4*s. Suppose 0 = -s*k + 5 + 10. Suppose k*a = 2*a. Solve m = -a*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 + 114 - 88*r.\nAnswer: -88*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*x)*(-3*x - 2*x + 7*x) + (-6*x**2 + 3*x**2 + 2*x**2)*(2 - 3 + 3) + 317*x**2 - 318*x**2 + x + 61*x as r*x + q + s*x**2 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -941 + 938. Which is the third smallest value? (a) q (b) 5\/4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 0.1. Let n = y - -0.299935. What is n rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 26*p - 176. Calculate the lowest common multiple of 4 and o(8).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 349, 1391, 3127, 5557?\n\"Answer: 347*n**2 + n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 12 + 15 - 27 + 5*x + 9. Let i be c(-2). Let s(w) = -6*w**3 + w**2 + w. Calculate s(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(6\/11)*q)\/q*q**(-14)\/q*(q\/q**(-10))\/q**(-19) assuming q is positive.\nAnswer: q**(170\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -6491 and -9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 12:10 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*o + 2*f + 5863, -5*f - 3926 = -2*o. Suppose s - 4*q - o = 0, 8*s - 4*s - 7797 = q. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**2\/2 + 19*q - 333. What is f(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 14280850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -537, -924, -1299, -1656, -1989, -2292?\n\"Answer: l**3 - 394*l - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339.\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1512813*m. Let u(p) = -97*p. What is j(u(t))?\nAnswer: 146742861*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4522 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: Divide 9 by 19.\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4228.8500012 - -4228.8. Let t = -0.3 + 0.35. Let h = t + c. Round h to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Suppose 2*w - 18 + 5 = 3*d, -3*d - 12 = -3*w. Put w, 1, s in decreasing order.\nAnswer: s, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -204?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 29 = -5*k + 1, 4*q = 4*k - 40. Let z = 55.8 + -55.9. Which is the second biggest value? (a) q (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 699, 695, 687, 675?\n\"Answer: -2*x**2 + 2*x + 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340879398?\nAnswer: 2, 3, 29, 167, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -196 + 1664. Let a = c + -7332\/5. Let -2\/5*d**2 + a - 11\/5*d**3 + 12\/5*d - 1\/5*d**5 - 6\/5*d**4 = 0. Calculate d.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*sqrt(1377) + 2 + -4*(sqrt(1377) + 1 + sqrt(1377)) + 4*1*sqrt(1377))**2.\nAnswer: -378*sqrt(17) + 67482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5500)*2*3)\/(sqrt(45)\/(sqrt(99)\/(-2*sqrt(11)))).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2488 is divided by 224.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24273 + 16704 = -198*f - 643*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 15*m + 11. Let o(f) = 8*f + 6. Let a(z) = 8*z + 6. Let r(t) = -4*a(t) + 3*o(t). Let w(i) = -3*n(i) - 5*r(i). What is the tens digit of w(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*z + 440 = 106*z. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 4. Let y be f(-4). Let g = 263\/5 - 52. Suppose -2*m + 5*m - 9 = 0. Which is the nearest to y? (a) g (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-22)\/(-220) + (-10107)\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 14*s + 97. Let o be f(19). Let p(c) be the second derivative of -5\/9*c**3 + 1\/6*c**4 + 0 - 5*c + 2\/3*c**o. Determine u so that p(u) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47737\/186 + 770\/3. Is 0 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 - 8*b + 4. Let a be (40\/(-12))\/(2\/3). Is 9 a factor of v(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 - 122. Let o = 60 + g. What is the units digit of (-6)\/o - (-1626)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -9*x**7\/7 + 18*x**6\/5 + 27*x**5\/10 - 29*x**4\/3 + 4*x**3\/3 + 8*x**2 - 3*x + 75. Solve d(r) = 0.\nAnswer: -1, -1\/3, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2711238, 2711271, 2711304, 2711337, 2711370, 2711403?\n\"Answer: 33*d + 2711205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*x - 1766 - 1384, 2*c = 2. Suppose -356 - x = -g. What are the prime factors of g?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15782*c*r*y + c*r - c*y - 2*r*y + 2478*y - 1166 wrt r.\nAnswer: 15782*c*y + c - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 42 = -5*a, -4*a - a - 3*c + 36 = 0. Calculate the highest common factor of 6 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/3 and -77\/847857894.\nAnswer: 847857894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1909 at least -456545\/239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476840 a multiple of 397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -10*l + 244. Let s be r(24). Solve 3*h = -5*x + 15, -x = -s*h - 6*x + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x**5\/2 + 6*x**4 - 25*x**3\/2 - 11*x**2 + 18*x - 4 = 0. Calculate x.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 - -68.32. Let h = -56.68 - x. Let l = h - -58.00000088. What is l rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-110)\/(-11) + -5 + 1\/(-1). Let u = -1 - 0. Sort 3, u, f in decreasing order.\nAnswer: f, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 - -107. Let u = 14 - 9. What is f in -9 - 8 + y - 20*f + u*f**2 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 1092, 2433, 4298, 6681, 9576, 12977?\nAnswer: 16878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-39)\/13*(-4)\/6. Let k(l) be the first derivative of 0*l + 7\/3*l**3 - 13 + 0*l**c. Let x(v) = -2*v**2. Give x(k(j)).\nAnswer: -98*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*d - 18, -2*l - 21 = -3*d + 10. Let n = l - -20. Calculate the smallest common multiple of n and 1\/(-2) - 165\/(-22).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13559 and 1396?\nAnswer: -18928364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 2*o**2 - 4*o. Let q be s(2). Suppose -17 = q*a - 1. What are the prime factors of ((-9)\/(27\/750))\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.48? (a) 19\/44 (b) -2\/19 (c) 5\/12 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, h: 2}. What is prob of picking 1 h and 2 c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzqoa. Give prob of picking 1 a and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a kilometer in centimeters?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*f - 113*f - 25*f + (-1 + 6 + 2)*(7*f - 3*f - 3*f) to the form y + p*f and give p.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/11 + 36*z\/11 + 162\/11.\nAnswer: 2*(z + 9)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 12528?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 12*o**2 + 12*o - 175. Let u be f(12). Is (6 - 2)\/(u\/(-3565)) a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -9 - (22 + -6 + -23 + (4 - -97)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123265 and 127420.\nAnswer: 11340380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cac when three letters picked without replacement from {a: 8, c: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/1*(-1900)\/(-70). Suppose 13*i = 9*i + l. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*o = -0*o + 4, -3*i - 3*o = 0. Suppose 4*u = -i*g + 72, 3*g - g = -10. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 5:51 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g**3 + 2*g**2 + 3*g + 2. Determine r(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3618\/(-2211))\/((81\/(-9))\/99).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 4. Suppose -40*l - u + 4 = -39*l, -5*l + 44 = u. What is the smallest common multiple of l and x?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 at most 0.59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + -2. Calculate the common denominator of 47\/6 and (-46)\/44 + r\/(-16).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279108219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-1206010.\nAnswer: 482404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p*u - 185*p*y + 30*u*y + u + 7 with respect to p.\nAnswer: -2*u - 185*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 88*f**2 + 2200*f + 5. Calculate i(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = g - t - 5, 5*t = -4*g - 33 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 30 + 48 = 0. Suppose 9*f - 5*f + 4533 = 5*s, -k*f + 9 = 0. List the prime factors of s.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1610 by -14.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -13*m + 15. Suppose 19 = 2*f + 41. Let c(h) = 7*h - 8. Give f*c(n) - 6*t(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-476)\/(-990) + (-958)\/26345?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -14*p**2 + 3*p + 1. Let s(b) = -9*b**2 + 2*b + 1. Calculate -5*l(k) + 8*s(k).\nAnswer: -2*k**2 + k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**4 + 2*h**4 + 0*h**4 + 2*h**4 - 2*h**4 - 5*h**4 + 4*h**4 + 0 + 0 + (h**2 + 0*h + 0*h)*(-2*h**2 + h - h) - 5*h**3 - h**4 + 5*h**3.\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.5 - 9. Let y = k + 0.5. Which is the smallest value? (a) 2 (b) y (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4950 + -2146. Suppose -x = 6*f - 10*f. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 51 = -3*x, x + 49 = -3*y - 0*x. Let s = y - -18. Suppose s = -0*q + 2*q + 5*z - 129, z + 336 = 5*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-1)*(-30)\/(-405). Which is the second biggest value? (a) -1 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10.54278ns?\nAnswer: 0.000000000175713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.181 - 5.1. Let u = k + -0.08099931. What is u rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 66\/5 (b) 812 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-17 + (0 - -1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6*h)\/h**7)\/(h**(-4)\/(h\/h**0))*((h*h**(-3\/2)*h)\/(((h\/h**(-6))\/h)\/h*h))**13 assuming h is positive.\nAnswer: h**(-133\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 1:56 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56561\/24 - 2355. Find the common denominator of q and -89\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(6 - (-1 + 1)). Suppose -3*y - 8 = -i, 0*y + w = y - 4*i. Let g(z) = -z - 2. What is the lowest common multiple of g(y) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/40 + 19*c**3\/6 - 13*c**2. Let i(r) be the first derivative of n(r). Let y(b) = -7*b**2. Give i(y(f)).\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -51. Suppose -273 = 5*i + 5*t + 442, -5*i - 3*t = 711. Let b = i + 242. Calculate the remainder when b is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6048 and 7623?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 2)*(3*i**5 - i**5 - i**5) - 29*i**5 - 428*i**4 + 428*i**4)*((3 - 1 + 1)*(3 + 2 + 1) + 0 - 5 + 4).\nAnswer: -527*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2. Let d(t) = -372*t + 3. What is f(d(c))?\nAnswer: 276768*c**2 - 4464*c + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2697, 5356, 7971, 10536, 13045, 15492, 17871?\n\"Answer: -w**3 - 16*w**2 + 2714*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/17)*u**(-15))\/(u**7\/u*u*u**9) assuming u is positive.\nAnswer: u**(-529\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**6\/320 - k**5\/40 + 9*k**2 + 10. Let d(a) be the second derivative of f(a). Find o, given that d(o) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*y**2 + 14*y**2 + 11*y**2 + 13*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + n - 2, -2*n = -x - 6*n + 8. Which is bigger: 6\/5 or x?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 471 - 294. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kiik when four letters picked without replacement from kininikninkn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 488 from -6.\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((984\/(-144))\/(-41))\/((-1)\/9). Let y be (((-4)\/(-10))\/(-2))\/(30\/50). Suppose -5*v = 5, 5*o - v = 4*o. Which is the nearest to o? (a) x (b) 0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**6\/1620 - i**5\/270 + 26*i**3\/3 - 9. Let v(q) be the third derivative of r(q). Factor v(g).\nAnswer: -2*g*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4817 - 4809. Solve a + 5*n - 18 = 0, -2*a - 8*n + 5*n + t = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -10*f**4 - 4*f**3 - 6*f - 65. Let m(y) = -28*y**4 - 13*y**3 - 16*y - 194. Let w(u) = -8*c(u) + 3*m(u). Differentiate w(j) wrt j.\nAnswer: -16*j**3 - 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1413.5 + -1410.5. What is the closest to -2 in 0.2, i, -0.1, 1.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -16*h - 8. Let d(o) = -o. Let k(p) = -7*p - 1. Let r(q) = 6*d(q) - k(q). Let l(n) = -g(n) - 12*r(n). Let v(i) = i + 13. Let j be v(-9). What is l(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -367990?\nAnswer: -3\/367990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46393846?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10 - 10 = 0. Let g(v) = -25*v + 1. Let q(y) = -5*y. Let k(o) = -2*g(o) + 11*q(o). Let z be k(-2). Solve -h = -3*t + z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -94*w**2 + 379*w - 345. Give o(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1489 + 13665730*f + 1489.\nAnswer: 13665730*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.6098 to zero decimal places.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 1\/3*j**6 + 0*j**2 + 6\/5*j**5 - 2*j**3 + 0*j - 1\/2*j**4 - 6. Solve t(s) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -17 - (-1 - (-7 + 11 + -18)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*t**3 - 36*t**3 + t**2 + 75*t**3 - 3*t**2 + 2*t**2.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:08 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 4 + 4)*(7*a + 3*a + a) - 2*a**3 + 13*a**3 - a**3 - 5*a**3 + a**3 + 6*a**3 + (1 - 1 + a)*(2*a**2 - a**2 - 4*a**2).\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9880, 9879, 9878, 9877, 9876?\nAnswer: 9875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1316705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*u + 2*k - 4, 5*u - 22 = -4*k. Suppose 4 = u*j - t, 2 = -2*j - 5*t + 18. Sort 0, j, -1 in ascending order.\nAnswer: -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -1 (b) 0.8 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -14.99944. Round g to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2444023 - -11103?\nAnswer: -2432420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3294*f - 20810 - 62421 - 44952 = -16187 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) -86 (c) -0.81 (d) -1\/2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 6*i**2 + 11*i + 3. Let g be a(5). Suppose -g*q = 3134 - 19436. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 93\/5, -3, 0.4, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 11*c**2 + 10*c - 6. Suppose 4*l - a + 42 = 0, 4*a - 21 - 37 = 5*l. Determine m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = -3*m, -2*o = -2*m + o + 10. Suppose -i + n + 3 = -5, m*n + 22 = 4*i. Suppose i*d - 5*d + 292 = 0. What are the prime factors of d?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96190 and 170.\nAnswer: 1635230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -955585*v + 7644652. Determine u(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.08 - -3.7. Let d = p - 0.12. Sort 0.3, d, 0 in decreasing order.\nAnswer: 0.3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -526\/17 in 7\/4, 3, 318?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-7 - -19) - (-1 - (-6 - (2 - 1)))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 - 4*p**2 + 4*p = 0. What is p?\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-30 + 59 + (0 - 16)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222429392.\nAnswer: 2, 13901837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -16. Let k = x - -13. Let n(h) = -h**4 - h**2 + h - 1. Let g(y) = -7*y**4 - 3*y**2 + 5*y - 5. Let d(w) = k*g(w) - 5*n(w). Factor d(b).\nAnswer: -2*b**2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 23*w**2 - 873*w + 18248. Calculate h(23).\nAnswer: -1831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 12:46 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 2975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -1203302003?\nAnswer: 1203302021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887158 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1519764 times -0.3?\nAnswer: 455929.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.5? (a) -4 (b) 1 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7*y**3 - 2*y**2 + 2*y - 2. Let d(u) = 85*u**3 - 25*u**2 + 25*u - 25. Let o(p) = -22*p - 2115. Let g be o(-95). Give g*c(t) + 2*d(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*g = -140*g - 47. List the prime factors of g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8501*g**2 + 8477*g**2 - 41*g**3 - g**3.\nAnswer: -42*g**3 - 24*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214, -1755, -5982, -14251, -27918, -48339, -76870?\nAnswer: -114867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 - 13*s**2 - 483*s - 2. Let p(x) = -4*x**3 - 24*x**2 - 966*x - 4. What is 11*d(h) - 6*p(h)?\nAnswer: 2*h**3 + h**2 + 483*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1053, 2095, 3155, 4245, 5377, 6563?\nAnswer: 7815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 4*l. Let d be g(-4). Let y = 91 - d. Find the second derivative of -16*f + 18*f**4 - 91 + y wrt f.\nAnswer: 216*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 586941*k - 586724*k - 10633 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -570.\nAnswer: -569.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/1758372 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129.3 + 128.3. What is the nearest to l in 1, -5, -2\/3, 1\/24?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1127?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2.09 (b) -2\/13 (c) 1\/10 (d) -20 (e) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 6}. What is prob of picking 4 v?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -14*s**2 - 94*s + 17. Determine l(-6).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1746 - -1866. Calculate the lowest common multiple of m and 207.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106024865 to the power of 1\/3, to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 20*o = 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 10. Suppose -4*l + j + t = -j, -4*j = 4*l. What is the first derivative of 11*h**3 + l + 46*h - 46*h wrt h?\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + ((-873)\/(-36) - 14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 98 - 83 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a millennium in months?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/221*492\/410.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4747734124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -407 and -2.\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 81282106 to the power of 1\/2, to the nearest integer?\nAnswer: 9016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 13069889 to the nearest ten thousand.\nAnswer: 13070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 - (-3592)\/(-6). Let a = v + 1033. What is the tens digit of a\/30*1*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 18 - 19 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(3\/5))\/(i**(-2)*i))\/(i**(1\/2))**(10\/11) assuming i is positive.\nAnswer: i**(107\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from teqteqqteqqeqqtteeqe.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -18*n - 19. Suppose -62 - 79 = -47*i. Let w(g) = 10*g + 11. Let m(x) = i*l(x) + 5*w(x). Let c(u) = u. Calculate c(m(t)).\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1583 + -1565. What is the smallest common multiple of h and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 2*h**2 - 3*h. Let f be s(-3). Solve -5*l + 5*j - 7 + 2 = f, 6 = -l - 4*j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 h, and 1 z when three letters picked without replacement from pzmmchw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y + 4. Give r(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*m + 788 - 446 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-108)\/48)\/((-2)\/64). Suppose 7*t - m = 3*t. Suppose -d - 4*d + a = -t, -3*d + 14 = a. Sort 1, d, 2 in descending order.\nAnswer: d, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 498 and 118?\nAnswer: 29382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p**5 - 776*p**4\/3 - 6406*p**3\/3 - 18932*p**2\/3 - 3800*p + 624 = 0.\nAnswer: -13, -6, -1, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*28\/1666)\/((-24)\/12).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 4257*b - 4262*b - 125, -4*v - 76 = 2*b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 272*p + 17011. Give v(-96).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6639 = 19789. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*k - 68. What is the least common multiple of k and (-2)\/12 + (-484)\/(-24)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32.8 - -34.8. Let q = -0.8 + 0.3. Let n = q + 0. What is the closest to t in 0.3, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15157 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90146160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-14) + 6)\/(150\/(-280)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 - -153. Let a(g) = -2*g**2 + 27*g - 10. Let f be a(13). Solve q = f*l - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1013 = -39*f + 218 - 178 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t + 14*t - 21*t + 3346*t**2.\nAnswer: 3346*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*i + 4*c, -2*i + 18 = -0*i + 4*c. Find the common denominator of -73\/20 and (-114)\/(-264) - i\/(-4).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - 3*q + 2*q)*(-53580 + 54378 + 2*q - 4*q) in the form o*q**2 + t + l*q and give l.\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -3507*z**2\/2 - 3239*z - 1259. Differentiate j(g) with respect to g.\nAnswer: -3507","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -70, -129, -212, -319?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -275 - -402. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 833 and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 114524567021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 51?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -932*i + 6 - 8 + 934*i. Calculate h(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47726, -1, -5 in descending order.\nAnswer: 47726, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 1, -640, 0, -47, 2 in descending order.\nAnswer: 3, 2, 1, 0, -4, -47, -640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 114337722 take away 13?\nAnswer: 114337709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 14480.72719 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 47*h**2 + 36*h + 16. Let o(q) = 16*q**2 + 12*q + 6. Calculate 3*f(t) - 8*o(t).\nAnswer: 13*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -3400. What are the prime factors of c?\nAnswer: 2, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(-2)*-49*(-76)\/(-16758)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(2156)) + 5*(sqrt(275) - -1*sqrt(275)) + sqrt(275)*2 + 1 + 2)**2.\nAnswer: -2592*sqrt(11) + 228177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**4 + 2126205*x**2 + 67075178*x wrt x.\nAnswer: 24*x**2 + 4252410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 10*r**2 + 5*r - 4. Let x be b(-6). Let h = 85 - x. Is (50\/h)\/(249\/251 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 141, 332, 599, 942?\n\"Answer: 38*g**2 + g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 2*f = -2*f. What is the units digit of 76\/(-95)*(f + (-190)\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.35271 + 5.35271. What is the nearest to 35 in f, 13\/5, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 + 95. Is 8 a factor of (5 - 51\/9)\/(z\/171)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 458 = 5*r, 0 = h - 4*h + r - 1358. Calculate the common denominator of h\/(-18) - 2\/1 and ((-86)\/8)\/((-5)\/(-2)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-5) + (-2)\/(-1). Which is the closest to -0.1? (a) 0.2 (b) u (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.61 + 0.39. Put 3\/5, r, -2\/17 in descending order.\nAnswer: r, 3\/5, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 599 (base 11) to base 4\nAnswer: 23021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/q**(2\/9))\/q)*(q*q*q**4)\/q)\/(q*q\/((q*q\/(q*(q\/((q\/((q\/q**(2\/5))\/q)*q)\/q*q))\/q*q))\/q)*q*q)**(19\/3) assuming q is positive.\nAnswer: q**(-461\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107.013 - 107. Let r = -3.013 + b. Sort r, 2, 1\/2, 1.\nAnswer: r, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 1. Suppose 0 = 11*z - 4*z. Let s(o) = o**3 + 2*o**2 + o + 3. Let c be s(0). Sort r, z, c.\nAnswer: z, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 10*u**2 + 1. Let i be r(10). Suppose 0*g - g = -i. What is the second smallest value in 4, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**5 - 65*t**4\/2 + 125*t**3 + 100*t**2 - 120*t - 135\/2 = 0?\nAnswer: -9, -1, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 6*o - 1. Let t(r) = -160*r - 2*r**2 + 0*r**2 + 39 + 190*r. Let a be t(16). What is d(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y = -16*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, -2, -13, 2846 in ascending order.\nAnswer: -13, -2, 1\/11, 2846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.188 and 0.00085.\nAnswer: 0.0001598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 2*g**2 - 4*g + g**2 - 2 + g**2. Let p be o(6). What is the units digit of p*(-6)\/15*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3}. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**6\/120 + o**5\/15 - o**4\/12 - o**3\/3 + 2*o**2. What is the units digit of l(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -3\/7, -4, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -11, -8, -5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-446)\/(-1 - (-3)\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, 2254, 8435, 20450, 40243, 69758, 110939, 165730?\nAnswer: 236075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -10, 5*h + 819 = p - 332. What are the prime factors of p?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 514*t + 54*t**2 - 224*t - 6*t**3 + 1458 + 196*t + 8*t**3 = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3 = -3*x - 24, 39*x = -20*y + 19*y - 315 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 689*k**2 + k + 2. Let s be h(-1). Round s to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7016537.7984 from 93.47.\nAnswer: -7016444.3284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - f + 251 = 0, -2*q - f = -5*f - 96. What is the remainder when 146 is divided by q?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 3)*(-2)\/(-4). Let j(d) = 2*d**3 - d**2. Let q(i) = 2*i**3. Let h(o) = j(o) - 6*q(o). Determine h(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 2*o + 33, -4492*r + 61 = -4495*r + 4*o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -4866 + 6638. Is b smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172270230 and 275632368.\nAnswer: 1378161840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -12?\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 38086*i - 228561. Calculate g(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - s = s - 2, 4*s - 12 = 0. Suppose 91 - 297 = -3*z - d*c, -z - 4*c = -62. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4727 - 4421?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 277.12, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13125691 - 0?\nAnswer: -13125691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -303.467*-9\nAnswer: 2731.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 43 = 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 391038676 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: Divide -3 by 70.\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 3. Suppose -80 = -2*u - a*u. Solve s + 3*s = -u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -274*h + 1101. Let y be o(4). Solve 2*v - 4*z - 4 = 0, 3*z - y + 2 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a + 60. Suppose 0 = -9*b - 159 + 24. Let g be w(b). Let r be -3 - (-302*(-2)\/(-148) - -1). Is g bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(156) + -4*-1*sqrt(156) - sqrt(156) - 5*2*sqrt(156))\/(2*sqrt(84)\/(sqrt(70)\/(sqrt(10) + sqrt(30)\/sqrt(3) + sqrt(10)) + sqrt(7))).\nAnswer: -4*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -222 (b) 2\/5 (c) 1\/12 (d) -4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00058356124 to 6 dps.\nAnswer: -0.000584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1482 and 356889.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -4, -10\/1677, 0 in descending order.\nAnswer: 0, -10\/1677, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 13502665 = 3*r. Let c = 4200533 - r. What is c rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9)\/v)**(-42)\/(v**35\/(v**(-1\/26)\/v)) assuming v is positive.\nAnswer: v**(1193\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 204 + 67 + 105*r**2 + 69.\nAnswer: 105*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*i = 28, -2*u + i - 197 = -205. Suppose 169 = 3*a - y, 0*a + 5*y + 33 = a. What is the smallest common multiple of a and u?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -119, -135, -151, -167, -183?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from rrrrrerrererrrrrrr.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.07\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2 + 202*o - 200 = 0.\nAnswer: 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*m - 3. Suppose 4*q - 31 = 1. Suppose -7*c = -m*c - q. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13918, 13895, 13872, 13849, 13826?\n\"Answer: -23*d + 13941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001558341 to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6595 - 11418*a**2 - 11419*a**2 + 22848*a**2 + 6595.\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212 and 13939.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0084, -2, 0.4, 1\/7 in ascending order.\nAnswer: -2, -0.0084, 1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3 = -12. Let j(b) be the first derivative of -d - 9\/2*b**2 - 1\/3*b**3 - 10*b. Calculate j(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67 and 7102?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5 - 3*n**2 + 6*n**2 + 6 + 4*n. Suppose 4*m = 2*f + 22, -5*m + 66*f = 67*f - 45. Is t(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158097960 divided by 2\nAnswer: -79048980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15457, -3, 2 in increasing order.\nAnswer: -15457, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859.360832 nanoseconds in weeks?\nAnswer: 0.00000000000307434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -12*y**2 - 1565*y + 5. Let g(x) = -5*x**2 - 782*x + 2. What is 9*g(w) - 4*k(w)?\nAnswer: 3*w**2 - 778*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 102608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) -0.5 (c) -4.3 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(448) - (sqrt(448) + -2*sqrt(448) + sqrt(448))) + sqrt(448) + sqrt(448)) - (sqrt(448) + sqrt(448) + -2)*-2)**2*1*6*1.\nAnswer: -384*sqrt(7) + 2784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.304 + -140.204. Let h = -138 - w. Which is bigger: h or -20?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -676 greater than -674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1242*n - 1161270. Determine r(-935).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55660113359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/2)\/(13\/104). Let r = -5 + o. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 11:03 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 + 7*h**2 - 6*h - 2. Let t(a) be the first derivative of 2*a**4 - 28*a**3\/3 + 25*a**2\/2 + 7*a - 1. Let y(z) = -18*g(z) - 4*t(z). Factor y(q).\nAnswer: 2*(q - 2)**2*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 109*n - 3240 = 20*n - 101*n, -64 = -2*v - 4*n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 508364 and 4484.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25043?\nAnswer: 79, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) -6.97 (c) -1\/47 (d) -1 (e) 1\/8 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 197 = 3*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7 and -219.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 1. Let c be l(6). Suppose -4*j = -m + 28 + 18, -c*m = 3*j - 138. Is (m\/24)\/(3\/708) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 0. Let o(c) = -c**2 + 5*c - 4. Let v be o(a). Suppose -205 = -v*x - 5*x. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 2 - 2)*0. Suppose -z + 3 = -4*i, -2*z - 15 = z. Sort o, i, -1 in increasing order.\nAnswer: i, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36, 69, 120, 189, 276, 381?\n\"Answer: 9*i**2 + 6*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o + 8. Let r be w(4). Solve r = -5*j - 5*l + 15, 4*j + l = -j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/218922 and 139\/3410?\nAnswer: 1094610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 7. Suppose 3*k - u - 18 + 9 = 0, v = -u. Solve k*a - 1 = -13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/3, 2, -4\/7, 14.6, -1.1, 7, -2?\nAnswer: 14.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -86, -298, -710, -1388, -2398, -3806, -5678?\n\"Answer: -11*s**3 - s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 15*r**2 - 17*r - 28. Calculate the remainder when 81 is divided by c(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000013102196 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + c + 1. Let r(q) = -14*q**2 - 16*q - 16. Let j be -6 - (6\/(-9)*-6 + -7). What is j*r(x) - 48*y(x)?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19307579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.16355 rounded to 1 dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -52, -78, -84, -70, -36, 18?\n\"Answer: 10*b**2 - 56*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 4. Let f = h + 2. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/5*5*(-6)\/20. What is the closest to -0.1 in n, 1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*z**4 + 6*z**4 - 7*z**4 + (-2*z**3 - 15*z**2 + 15*z**2)*(-3 - z - 2 + 2*z).\nAnswer: 8*z**4 + 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = -2*l - 10, 4*x = 3*l + 22. Let v(o) = o**3 + 5*o**2 - 7*o - 7. Let j be v(l). Is j*(-4 + (2 - 1)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2451930, 2451934, 2451938, 2451942?\n\"Answer: 4*u + 2451926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - b - 40 = b, -v - b + 10 = 0. Suppose -7*h = -v*h + 9. Find the first derivative of -h*i + 3*i - i - 1 + 8 wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-57 + 13 - (-5 + 12 + (-4 - -5))).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -1\/2*b**2 + 13\/6*b**3 + 13*b + 0. What is v(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 141 and 90.\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 24*u + 34. Let t be o(-24). Suppose t*m - 36*m = -6. Suppose 0 = -2*y + g + 6, 0 = m*g + 4 + 2. Solve -y*p = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1064*p**3 + 8*p**2 + 8*p + 8. Let x(b) = 355*b**3 - 3*b**2 - 3*b - 3. Calculate 3*i(m) + 8*x(m).\nAnswer: -352*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-6)\/45*-3*(-34)\/(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 21 = 11*q. Let p = 10 - q. What is the lowest common multiple of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2567 - 2347. Calculate the remainder when 450 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2779053817 to the power of 1\/2, to the nearest integer?\nAnswer: 52717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/(-12) + 18\/(-216). What is the lowest common multiple of -1 + d - 3*-3 - -11 and 270?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3660 = -2*g, -127*i + 128*i - 1840 = -4*g. Calculate the greatest common divisor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33897?\nAnswer: 3, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**4\/12 - 2*x**3 - 6*x**2 - x. Suppose 7*k = 2*k - 45. What is the remainder when a(k) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 0. Suppose 64 = -2*n + 5*u, -a*n + 6*n = -4*u - 96. Let k = -18 - n. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 7*y + 6925 = 0. Let j = y - 984. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l. Let d(j) = -14*j**2. Determine s(d(f)).\nAnswer: -98*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*s - 57 = 0, 5*v + 5*s - 4*s - 75 = 0. Solve 0 = 4*y + 12 - v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091532441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**3 - 157*p**2 - 82*p - 1688. Calculate r(-26).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -112, 3, -5, -2 in descending order.\nAnswer: 3, -2, -5, -6, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1550751?\nAnswer: 3, 107, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 5*y - 4*y)*(3*y + y - 3*y) - y**2 - y**2 + 3*y**2 + (-3*y**2 + 2*y**2 + 0*y**2)*(-2 + 3 - 2) + y + 2*y**2 - y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 132*j**2 + 189*j**2 + 0*j)*(3 + 0 - 2) + (11*j - 29*j - 18*j)*(6*j + 3*j - 5*j) as s*j + h + a*j**2 and give a.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y + 3*k + 32 = 0, -y - 16 = 5*k. Suppose 2*b + 3 + 3 = 0, 4*z = y*b + 112. Let m = 4 + z. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 0*b + 2*b - 5*b + b. Let n(k) = k**2. Determine n(s(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (5 + -4 + 3 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 66 + 429. Suppose -4*o + 8 + 4 = 0. Suppose o*q - 3*a - 21 = 0, -5*q + 0*a = -3*a - 39. Calculate the highest common divisor of q and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 13) to base 9\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 559343\/132 - 16945\/4. Find the common denominator of 191\/924 and n.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 - (-5 + (-7 - (-5 - 1))))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8828*i + 143 = 8823*i, 3*i - 33 = -3*x. Let o = -780 + 1374. Calculate the greatest common factor of o and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118394 times 0.0575?\nAnswer: 6807.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 421273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*i - 2*i**4 - 1 + 32*i - 18*i**2 - 12*i - 13*i - i**3 to d*i**4 + b*i**3 + o + f*i + p*i**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 75136 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = b - 98, -3*r = r - 3*b - 86. Suppose w - 4*v - r = 0, -4*w + 18 = -5*v - 18. Suppose -l + w*m = -195, 6*l - m - 956 = l. Is l a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 32 = 5*s, 2*s - 6*s + 5*i = -1. Suppose 0 = -q + s*q. Solve y + 3*y = q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9) - 65\/(-15). Suppose -s - 3*x - 2 = 7, p*s + 5 = -5*x. Solve 2 = s*g - 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*2)\/(-4) - -1. Suppose n*v - 2 = 3*s, 2*s + 15 - 3 = 4*v. Suppose 0*c = -3*h - c + 250, -v*h + 2*c + 330 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 + 3.6. Let f = 1.5 - x. Let k = 153\/2 - 2597\/34. Put f, k, -5 in decreasing order.\nAnswer: f, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 86*l**2 + 680*l - 962. Give u(-77).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1552*r**2 - 461*r - 21. Is l(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2930 = -4*m + u + 1130, 3*m - 3046 = u. What is the highest common factor of 12 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 4*x**2 - 3*x - 1. Let r be h(-2). Is ((-1)\/r)\/((-2)\/(-114)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320396 and 35188.\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 - 2.8. Let l = 0.9017 + o. Round l to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303510.2 centuries in years?\nAnswer: 30351020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1204, -3\/8, -3, 1\/5, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = 0, 2*y - 4*f + f = 16. Solve 7 + 17 = 4*w - 4*k, 5 = -y*k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*p + p + 13265, 2*p = 0. What are the prime factors of i?\nAnswer: 5, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 20, -g + 3*g - 56 = 4*k. Let t = 21 - g. Is t at least as big as 4\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2579.7 - -2580.2. What is the smallest value in 4, n, -0.06, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, b: 3, h: 3}. Give prob of picking 2 b and 1 h.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 355248 to the power of 1\/2, to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/893092 and -71\/12.\nAnswer: 2679276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*c = -220*c - 400. Solve 5*q + 14 - c = 2*d, -2*q - 16 = 4*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-5)\/(-10))\/((-13)\/(-52)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 392 - 391.999417. What is o rounded to five decimal places?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 + 9 + 1852*j**2 - 16*j.\nAnswer: 1852*j**2 - 16*j + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07673 and -6413.5.\nAnswer: 492.107855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00220252 to 6 decimal places.\nAnswer: 0.002203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -25*g**2 + 20*g - 20. Let q = -444 - -307. Let c = q - -157. Let d(y) = y**2 - y + 1. What is c*d(t) + m(t)?\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10815672 and 504.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 1340*z + 89780.\nAnswer: 5*(z + 134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p + 18. What is the remainder when y(18) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3, 3\/5, -634, 6\/7, -67?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009327762675 rounded to seven decimal places?\nAnswer: 0.0093278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*k - 1286 - 47 = 1175 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w + 4. Let l = -236 + 240. What is the smallest common multiple of 6 and a(l)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 504 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121219157 to the power of 1\/2, to the nearest integer?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4717636 and 742.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.41 - 0.01. Let x = 1.5 + -0.5. Put -3, v, x in descending order.\nAnswer: x, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 628 - 188 = -k, -5*i - 5*k = -1070. Solve i - 134 = 14*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c - 2 = -3*j, 5*c = 3*j + 47. Solve -4*w = 16, 5*p - 2*w = -c*w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40628 + 40630. Determine z, given that 0 + 0*z + 1\/3*z**f + 1\/6*z**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 8:34 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 27 = -3*u - n, -39 = -3*u - 3*n. Calculate the remainder when 21 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 8*w - 5. Suppose 0 = p + g - 5, 5*p - p - 26 = 2*g. Suppose 0 = -c + 5*c - 144. What is the remainder when c is divided by t(p)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6998, -7005, -7026, -7067, -7134, -7233?\nAnswer: -7370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*b + 15 - 2, 0 = 5*y - 5*b - 20. Calculate the smallest common multiple of (-19)\/(-3) - (-3)\/(-9) and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(133) + sqrt(133) - sqrt(133))*-5)\/(sqrt(63) + (sqrt(63)*-2*5 - sqrt(63)) + sqrt(63)).\nAnswer: -50*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/540 and -9\/24970.\nAnswer: 1348380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -56 in 0, -20, 1\/4, -0.4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -283 - -290. What is the remainder when 20 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*o + 11 = -0*f, -4*f - 5*o - 23 = 0. Let b be (-5)\/f + (-5)\/10. Calculate the highest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29836869, 29836871, 29836873, 29836875, 29836877?\n\"Answer: 2*l + 29836867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35297, 70590, 105885, 141182, 176481?\nAnswer: 211782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89 (base 14) to base 13.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, z: 5, q: 2, t: 2, h: 1}. What is prob of picking 2 q?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 916000 to the nearest ten thousand.\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9394 + -4642. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2 - 2180*i + 10775 = 0.\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 9097?\nAnswer: -9096.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - t + 5*g - 10, -5*t + 16 = 2*g. Solve 3*y - 11 = -t*o, 0 = 4*y + 3*o + 2 - 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - q - 3*q + 3*q - 2*q + 2*q - 4*q + 3*q + (9 - 6*q - 9)*(0 - 3 + 5) to b + w*q and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 210, 197, 182, 165, 146, 125?\n\"Answer: -g**2 - 10*g + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000318635 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/13)*(a**(-2\/23)\/a)\/a)**(32\/3)*a*a**(-3\/7)*a\/(a*a*a*a*(a**(-6)\/a*a)\/a)*(a**(-4\/9)\/a)\/a**(1\/8) assuming a is positive.\nAnswer: a**(-1418461\/150696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224826701.\nAnswer: 11, 20438791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwxwwwwxwwwwxxxww. What is prob of sequence xxww?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 17076, 1, 2\/5, -0.2, -1\/9 in ascending order.\nAnswer: -0.2, -1\/9, 2\/5, 1, 17076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 - 5*k + 9. Let n be i(-7). Let v = -31 - n. Let u = -12 + v. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (144\/612)\/((-6)\/(-17)). Factor 0 - 2\/3*l**3 - 4\/3*l**2 - h*l.\nAnswer: -2*l*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 766063, 766050, 766029, 766000?\n\"Answer: -4*t**2 - t + 766068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-156 - 79 - 53)*(-2 + 3 + 1)*(-16*v**3 - 123 + 123) to the form i + m*v**3 + t*v + x*v**2 and give m.\nAnswer: 9216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63029879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/4 - 0) + (-92)\/(-16). Let 26*g**4 - 95*g**2 - 15*g - 2*g**3 - u*g**4 - g**3 + 90 + 3*g**3 = 0. Calculate g.\nAnswer: -3\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -6 + (3 - 3) - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 1. Suppose q + 0*x + 2*x - 7 = 0, -3*x + 9 = 3*q. Let y(v) = 3*v**2 - 2*v + 2. Determine q*s(k) - y(k).\nAnswer: -2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 3. Let d be x(-6). Suppose 0 = g + d*g - 16. What is the smallest value in -4, g, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6701287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 3\/8 (c) -5 (d) 0.41685\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/14 and ((-205)\/(-68) - 3)*-114.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-15) + ((-29193)\/(-2630) - (-1)\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 956069651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -694*z + 688*z - 36 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1451, -2901, -4339, -5759, -7155, -8521, -9851, -11139?\nAnswer: -12379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 32 (b) -2 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 786492 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrririeipviirrvirir. Give prob of picking 1 r and 1 p.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284.5437 litres to millilitres.\nAnswer: 284543.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l**(5\/4)*l*l))\/(l*l*l*l**(-2\/11)\/l*l*l)*l\/(l\/(l**(-2\/5)*l))*l*l**(1\/6))\/((l**(-1\/4)*l*l*l**5)\/(l**1)**27) assuming l is positive.\nAnswer: l**(5263\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (689*x - 105*x**2 - 689*x)*(-3*x**3 + 3*x**3 - x**3).\nAnswer: 105*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 4*v - 7*v + 3*v**3 + (5*v + 3*v + 7*v)*(0 + 2 - 4)*(2*v**2 + 5 - 5).\nAnswer: -57*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -532 - -568. Solve 16*j = 25*j - x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from zppzayyyapyy.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-4)\/m)*m)\/m**(2\/7)*m*m**3*m*m*m*m**(-2)*((m**(2\/3))**50)**(1\/18) assuming m is positive.\nAnswer: m**(2564\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 2. Let h(k) = k + 30. Let b be h(-14). Suppose b = 8*t - 4*t. What is v(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/20*(-10)\/(-12))\/(-1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.8, 1, 1464.\nAnswer: -0.8, 1, 4, 1464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0, 4.\nAnswer: -5, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108 - (-629592)\/(-8991)) + (-8)\/(-324).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6149*g**2 - 2646*g**2 + 1983*g**2.\nAnswer: -6812*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-2)*(-232)\/48*(18\/(-6))\/(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57436679?\nAnswer: 47, 1222057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 9, 4, -4192 in decreasing order.\nAnswer: 13, 9, 4, 0, -4192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -959, -961, -973, -1001, -1051?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 560 + -103. Let c = -465 + z. Let h(a) = -10*a**2 - 8*a - 8. Let v(r) be the third derivative of r**5\/60 + r**4\/24 + r**3\/6 + r**2. Give c*v(s) - h(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3073 and -10373478688?\nAnswer: 10373475615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 3:53 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 9 - 15 = 0. Let c(k) = 2*k**3 + 4 + 7*k - 17*k + 10*k. Calculate the lowest common multiple of q and c(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126966 and 145104?\nAnswer: 1015728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 98\/(-176) - ((-520)\/1650 + (-4)\/(-30)). Is s greater than 0.0626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/7 and (2 + (-41)\/(-54))*(-39)\/(-26).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 30 = 16*q. Let z(c) = 9*c - 18. Let o(p) = 4*p - 8. Let a(u) = 7*o(u) - 3*z(u). Calculate a(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 12, r: 2, s: 2, m: 2}. What is prob of sequence rmkr?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(22) + sqrt(220)\/sqrt(90))\/(sqrt(704)*1) - (4 + (sqrt(72) + -2 + -4)**2)).\nAnswer: -112 + 433*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 52*y + 56. Let q(t) = 7*t**2 - 417*t - 430. Determine 46*k(i) + 6*q(i).\nAnswer: -4*i**2 - 110*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 117 (b) -3 (c) -12 (d) -6 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16364470 rounded to the nearest ten thousand?\nAnswer: 16360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/69 + 211\/276. What is the third smallest value in s, -2\/3, 4, 1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2, 0.11, 9\/37, -6 in increasing order.\nAnswer: -6, -2, -0.2, 0.11, 9\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/2*(-138)\/(-1932).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23172894 is divided by 7724293?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 336.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**8\/420 - w**6\/90 - w**3\/2 - 5*w**2. Let u(p) be the first derivative of b(p). What is the third derivative of u(x) wrt x?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*i**4 + 147*i**3 - 444*i**3 + 3*i + 144*i**3 + 152*i**3 + 5*i to the form p*i**4 + u*i**2 + f*i + v*i**3 + x and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**2 + 1. Let m(l) = l**2. Give -6*m(d) + 2*p(d).\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2 = 17. Let x be 4\/30 - 2*59\/210. Which is the closest to -1\/4? (a) v (b) 2\/15 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeh when three letters picked without replacement from ohvssssexhesxv.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-7 + (7 - (-3 - -22))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from kkkvvkkkkkkkvyykvov.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o + 13. Let n be d(2). Put -5, n, 4 in ascending order.\nAnswer: -5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73 - -77 - (870\/(-104))\/(-3) and (-189)\/(-990) + 4\/10.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 191?\nAnswer: 14898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 31. Let w = -2.32 - 21.68. Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3 - 12*c**2 - 11*c = 0.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g = -3*m + 5, m + 1 = 4*g. Solve j = p + g + 6, 0 = 5*p + 25 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.07 and 25668.9239194.\nAnswer: 25668.9939194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -125*s + 7494. Give y(59).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (916\/(-3)*-2)\/(34\/816)?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16895, 33809, 50729, 67655, 84587?\n\"Answer: 3*a**2 + 16905*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -5*w - 10, 14 - 24 = 5*w - 3*m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 45*t - 18. Let f be p(-22). Solve -h + 24 = 5*m, h - 9 = -f*m + 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8784 + 3028713\nAnswer: 3028713.8784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**2 + 5*r + 2 + r**3 + r - 3*r. Let n be m(-5). Suppose 5*g - 3*p - 3 = 0, 3*p = -g + 15 - 0. Solve -n = -g*k - 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 5*w - 6. Calculate i(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - ((41 - -18) + -9) - (-1 + 12)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728) - (sqrt(1728) + -3 + sqrt(1728)))**2 + 1.\nAnswer: -144*sqrt(3) + 1738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 5. Let s be (-6)\/(-21) + (-44)\/7. Let h be i(s). Is 1 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 632, 587, 542?\n\"Answer: -45*o + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -65\/9 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 + 756 - 1517 - 3*f**3 + 761 - 32*f**2 - f**3.\nAnswer: -f**3 - 32*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 3*i + 66 = -3*p, -p = -3*i - 24. Suppose 5*o = -b + p, -5*o + 3*b = -7 + 1. Solve 7*z = o*z - x - 9, -4*x = 3*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*y - 9*i + 669, -3*y + i + 1029 = 0. Calculate the remainder when y is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*l - 24, -5*l - 37 = 4*c - 1. Let r be (-4)\/((l\/134)\/1). Suppose -r = -2*f - 0*x - 5*x, 0 = 5*f + 4*x - 335. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76130 is divided by 941.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47439 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3200205.6ns to hours.\nAnswer: 0.000000888946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 11*j**2 - j + 13. Let g be 145\/13 + (-6)\/39. Let a be h(g). Solve -a = -x + 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2*v + 65 - 75 = 0, -53 = 5*v - 2*v - 38 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 190, 501, 1172, 2383, 4314, 7145?\n\"Answer: 30*o**3 + 101*o + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - d**2 - d. Let x(a) = -a**4 + 6*a**3 - a**2 - 6*a. Let l(w) = 6*h(w) - x(w). Find the third derivative of l(i) wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*o**4 + 19*o**2 - 3545*o wrt o.\nAnswer: -300*o**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.144 - -0.144. Which is the fourth smallest value? (a) 2 (b) 6 (c) 12 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1151*((-4)\/6)\/((-8)\/(-12)). Suppose -4*x = 4, -4*m + c = -m - 2*x. List the prime factors of m.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022782 plus -2?\nAnswer: -1.9977218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, h: 3, f: 3, x: 2, d: 1, b: 3}. Give prob of sequence bfbx.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 5. Let w = 9.1 - -23.7. Let g = w - 30.8. Sort -4\/7, -1\/4, s, g in descending order.\nAnswer: g, -1\/4, -4\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05671717 + 1040.22\nAnswer: 1040.27671717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*r + 64*r + 8037*r**3.\nAnswer: 8037*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 247\/10 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 36*d + 105.\nAnswer: 3*(d + 5)*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 644578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5183.562 weeks in minutes?\nAnswer: 52250304.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/2*(-5 - -4). Let j be (r\/(-3))\/((-3)\/36). Let h = j + 7. Solve a - 5*v - 4 - h = 0, 5*a - 32 = 4*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 6*u + 2*c = 0, -7*u + 13 - 49 = 4*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81.154 + -55.227. What is b rounded to one decimal place?\nAnswer: 25.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 128*u**2 + 7. Let i(m) = -127*m**2 - 2*m - 9. Calculate -4*i(w) - 5*r(w).\nAnswer: -132*w**2 + 8*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11749590 is divided by 2471?\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1525*v**2 + 718*v**2 - 22 + 3023*v**2 + 23 to the form w*v**2 + a + d*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1597, 4090, 7491, 11800, 17017?\n\"Answer: 454*l**2 + 1131*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*k**2*o**3 - 5*k**2*o**2 - 15*k**2*o + 2*o**3 - o wrt o?\nAnswer: -60*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 24708*x - 638. Let z(w) = 116*w - 3. Let a(m) = 6*f(m) - 1276*z(m). Let i be a(-1). What is the remainder when 35 is divided by 8\/52 - i\/13?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -29 + 35. Which is smaller: o or 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2651750379?\nAnswer: 3, 10912553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -474 by 5342.\nAnswer: -237\/2671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*j**2 - j - 89*j**2 + j + 24*j**2.\nAnswer: -137*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.8916 + 16.8916. Let b = -5 - -5.4. What is the closest to 35 in b, 1\/10, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 782*c*d**3 + 2*c*d**2 + 3*c*d + d**3 + 52*d**2 - 5*d wrt d.\nAnswer: 4692*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 6*l - 2. Let r = 23 + -22. Suppose -y + 5 - r = 0. What is t(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 3*k - 2. Let z be x(4). Is (-386)\/(-4) + z\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y + 59. Let o be r(-11). What is the greatest common divisor of 26 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5477 + 13865 + 7214 - 62168 - 42456)*(k + 2*k - 5*k) as u*k + o and give u.\nAnswer: 178044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769910374.\nAnswer: 2, 103, 587, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -2*q - 49. What is the derivative of -143 - 12*a**2 + 71 + 43 + q wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11)*z\/(z\/(z\/z**(1\/2))))\/(z**(-3)*z**(-6)*z)*((z**(-2\/9))**35)**(-40) assuming z is positive.\nAnswer: z**(63319\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -12*m - 22. Let s be y(-9). Let b = 92 - s. Solve 3*t = -5*x - b, -2*x + 2*t = x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4949 + 6939. What are the prime factors of a?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 308 - 495. Which is smaller: -71\/4 or x?\nAnswer: -71\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*q = 84, 4*t - q - 190 = -0*q. Let m = -13 + -18. Let i = m + t. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/75)\/(5*(-6)\/(-825))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -19. Let s = -1.44 - -1.47. What is the nearest to s in n, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4321665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30528 and 163072.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5 + 33*g**2 + 32*g**2 - g - 102*g**2 + 34*g**2. Calculate i(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3303.19 - 3324. Let m = 3.11 + o. Let u = -13 - m. Round u to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037479 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or 0.83?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*((5*g - 3*g - 3*g)*(1 + 2 - 6) + g - g + 5*g).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o + 18*o - 5*o - 5*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1603*l**4 + 913?\nAnswer: -6412*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 704\/(-4) + 2 + -1. What are the prime factors of (-1 - 2\/(-6))*l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(168) + sqrt(168))\/sqrt(6))\/(sqrt(36)\/(sqrt(36)\/sqrt(4))))**2 - (-1 + (0 + sqrt(112))**2))*2 + 0.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53462 by 1.\nAnswer: 53462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8513 (base 9) to base 7\nAnswer: 24135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.13 - 0.1299908. Round w to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a - 90 = -2*t, 0 = t - 4*a - 54. Calculate the remainder when 166 is divided by t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/7 - 4906*p\/7 + 1780908\/7 = 0 for p.\nAnswer: -2774, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14338 = 3*m - 2132. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 30*y**2 + 85*y**2 + y**3.\nAnswer: 2*y**3 + 55*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Suppose -m*i + 2*k = -47 + 11, -3*k + 30 = i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 4*b**2 - b. Let k be y(-5). Factor -h**2 + 6*h**3 + 2*h**4 - k*h**3 + 19*h**2 - 4*h + 8*h**4.\nAnswer: 2*h*(h - 1)**2*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j + 5. Let m(c) be the third derivative of 3*c**4\/8 + c**3 - 6*c**2. Let w(i) = -4*d(i) + 3*m(i). Let l be w(-2). Solve -3*r = r - l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4766 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 990\/(-660) + (-177)\/2. Put 5, q, -14 in ascending order.\nAnswer: q, -14, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 13 = 17. Suppose k*o - 4*o = -o. Solve o = -4*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/8)\/(41525\/(-1208))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 0.9, -0.4, 7\/36, 1?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46378 = -m - 8*l, 25*l = 22*l - 9. What is the ten thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 635814193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 114315106 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 22*i - 7*i)*(i**2 - i**2 - 2*i**2) + i**3 + 7*i**3 - i**3.\nAnswer: 51*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 25*m + 51 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.8 - -0.8. Let w = v + 9. Sort -2, w, 0.3.\nAnswer: -2, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309, 304, 289, 258, 205?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -327066980 by -10.\nAnswer: 32706698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113123578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6572*l - 6575*l + 13148*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4348.26 - -4348. Which is greater: 2\/5 or b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + 6\/(-2) - 2. Let w be (x\/(-3) - -1)*3. Suppose 36 = w*k - 9. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8512, 8514, 8516?\n\"Answer: 2*m + 8510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-4\/7))**(-33))**(2\/15)\/((a**(1\/4)\/a)**24\/(((a*a\/(a**(-1\/4)\/a))\/a)\/a**(-5))) assuming a is positive.\nAnswer: a**(3271\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/4 + 96*x**2 - 1749*x.\nAnswer: -3*x*(x - 106)*(x - 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**5\/10 - 31*l**4\/24 - 7*l**3\/6 - 3*l**2 + 20*l. List the prime factors of f(8).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.26 in -2\/11, -276.1, 57, -8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 64341 = 3*v, s = -26*v + 29*v - 64337. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 8*f**2 - 24*f + 40. What is x(9)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -931, -1843, -2745, -3631, -4495?\nAnswer: -5331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(192) + sqrt(192) + -2 + 5)*-4)**2 + (2 + sqrt(432) + 0 - (sqrt(432) - (sqrt(432) + 1)*-1)).\nAnswer: 1524*sqrt(3) + 12432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 4*g**2 - g - 4. Let s be j(4). Let m be 1\/5 + s\/(-10). Suppose -4*l + l = -21. Calculate the greatest common factor of l and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 278?\nAnswer: 111.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -1162*l**3\/3 + 7095*l**2\/2 - 183*l + 9. Differentiate s(r) wrt r.\nAnswer: -2324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*z + 31*z - 2*z + 234*z in the form m*z + k and give m.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1\/3)\/((-87)\/((-10962)\/(-672)))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(275)*2).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/19 - 84*a**2\/19 - 82*a\/19.\nAnswer: -2*a*(a + 1)*(a + 41)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -3\/2731 (c) 0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001573 to six decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -10*x**3 + 3*x - 2 + 15*x**3 - 2*x**3 - 4*x**2. Let o(r) = 2*r**3 - 3*r**2 + 2*r - 2. Calculate 3*i(y) - 4*o(y).\nAnswer: y**3 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 6. Let i(f) = -2 + w - f - 5. Calculate i(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4387956 divided by 1462652\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11377, 91392, 308699, 731944, 1429773, 2470832?\n\"Answer: 11441*g**3 - 72*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from zgzvazuamau?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21)\/28 - 5070\/(-8).\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 c, and 1 s when three letters picked without replacement from ccccvcisccss?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) 0.5 (c) -7 (d) 3\/5 (e) 6\/7 (f) 1730 (g) -3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/26 and -54\/17.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 2*d = b + 14, 0 = 4*b - 5*d + 41 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -y - 3*w + 8, -4*w = 4*y - 4. Is -3\/17 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*y - 2\/3*y**3 - 2*y**2 + 2.\nAnswer: -2*(y - 1)*(y + 1)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 13 = 1. What is the second smallest value in -2, -4, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -99*b - 2*b**2 + 39*b + 29530*b**3 - 29528*b**3.\nAnswer: 2*b*(b - 6)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48246836 and 49764.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -482*p - 2865. Give u(-5).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {j: 1, r: 2, t: 2, p: 5, y: 2, b: 8}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 3*m + 24. Let v be h(7). What is the second derivative of v + 39*c**3 - 52 + 2*c wrt c?\nAnswer: 234*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-2))\/((-28)\/16))\/(675\/525).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l - 689. Let s(m) = -3*m + 726. Determine -2*c(n) - 3*s(n).\nAnswer: n - 800","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 25621*g**2 + 12*g - 9. Let d be z(-11). Round d to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-3*3)\/3. Suppose -o - o = 4, 3*o = i*t - 601. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9498.5 * -7.\nAnswer: 66489.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 0*i**3 - 3*i**3)*(56 + 26699*i**2 + 57 + 57 + 55 - 225).\nAnswer: -80097*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4 = 0, -21*h + 3 = -23*h - 10*o + 6*o - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 20. Let p be ((-12)\/15)\/(8\/80). What are the prime factors of a(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3149\/390 + 6\/65. Let c = -24593\/24 + 1028. What is the common denominator of c and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2823.\nAnswer: 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*t**3*u**2 - 5*t**3*u - 8*t**2*u**5 - 8*u wrt u?\nAnswer: -34*t**3 - 160*t**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 8 = 5*q - 0, -2*q + 6 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (96 - 46) + 15\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39*q*v + 1104341*q + 8478*v wrt v.\nAnswer: -39*q + 8478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1535.09 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3293076593?\nAnswer: 3293076593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -16. Suppose 3*u + 327 = r + 2*r, -4*r + 228 = -2*u. Let h be u\/16 - 3\/2. Which is the biggest value? (a) h (b) p (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -253*z**2 - 3*z**3 - 4 + 234*z**2 + 4*z**3 + 2*z + 22*z**2. Determine q(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 13.53?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -166121 (base 7) to base 14\nAnswer: -c211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 262079 to the power of 1\/2, to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/(12\/(-10))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - 553\/(-301))*2 and 9.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 236\/5. What is the third biggest value in b, 2\/7, 0.1, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, -3, -38, -95, -180, -299?\n\"Answer: -u**3 - 2*u**2 - 6*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -83ea7a?\nAnswer: -83ea7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15.06049 litres?\nAnswer: 15060.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9630 by 10.\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*r - 6 + 98*r**2 + 98*r**2 - 199*r**2.\nAnswer: -3*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6\/(j\/(j*j*j**(-6)))*j*j**4*(j*j**(2\/5))\/j)\/((j**(-3)*j**0)\/(j**5*j\/j**(6\/11))) assuming j is positive.\nAnswer: j**(817\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2, -3*q + 5*k + 10 + 15 = 0. Let s = 27 + -19. What is the least common multiple of q and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhhnlnab. What is prob of sequence jhh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9136003km in millimeters?\nAnswer: 913600.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(0 - 2 - 3)*(10*h**2 + 21*h**2 + 17*h**2).\nAnswer: -480*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1286255 is divided by 643067.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/10*315\/2. Let j be c\/(-27)*(-6)\/4. What is the first derivative of j - 2 - 5*w**2 + 2 wrt w?\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86211 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 12) to base 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y + 0*y)*(0*y - 3*y + 2*y) + 28*y - 15*y**2 - 28*y.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(500))*-1.\nAnswer: -10*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 534.1814 litres?\nAnswer: 534181.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 10724.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 111001001000011000100000001?\nAnswer: -111001001000011000011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2 = -6. Which is the smallest value? (a) 0 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -524.05 - -525. Let u = 0.3 + -0.35. Let k = o - u. Which is the nearest to k? (a) -2\/15 (b) -2\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/33 (b) 18.1 (c) 0.3 (d) 0.4 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28404 is divided by 7054.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -39693+1.6658\nAnswer: -39691.3342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 451, -32, -4.\nAnswer: -32, -8, -4, -2, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*g - 62*g - 4719. What is the greatest common factor of 156 and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 120 = 7*k + x, 0 = 3*x - 12. What is the remainder when k is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4361 divided by -1.\nAnswer: -4361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**3 - v**3 - v - 2 + 2*v**2 + 4*v**3 - 5*v**4 + 2*v**4 to y*v**3 + z*v**4 + o*v**2 + p*v + t and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(9\/(27\/(-3)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/4)\/((-30)\/(-40)). Let z be (5\/w)\/(-5)*-482. Suppose -2*y + z = -85. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 445 - 441. Let p be 6*(104\/16 - y). Solve 3*g = -2*h - p, -2*h + 2*g = -3 - 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124*u*x**4 - 2*u*x**2 + u*x - 24374*x**4 - 10*x**2 - 76114*x wrt x.\nAnswer: 2976*u*x - 584976*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 78564104.\nAnswer: 3\/78564104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*t - 11 + 11)*(-2 + 9 + 0)*(0 - 4 + 5).\nAnswer: -133*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (9\/18)\/((4\/5)\/(-2))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 2*q**5\/15 + 7*q**4\/24 + 2*q**3 - 12. Let g(x) be the third derivative of a(x). Is 11 a factor of g(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 8, r: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5\/3 + 10*s**4\/3 + 8*s**3\/3.\nAnswer: 2*s**3*(s + 1)*(s + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15621471 is divided by 1115813?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/48502492 and -31\/4.\nAnswer: 48502492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*k + 218, 3*b = 4*k - 2*b - 148. Calculate the highest common divisor of k and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/(-12) + 4)\/(1\/2404). Let q = n - 5357. Let h = q - -17623\/10. Find the common denominator of -1\/2 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1999*i - 1998. Let r be g(-1). Let o = 0.4 + 1.6. What is the third smallest value in r, -1.3, 0.3, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19547237 rounded to the nearest one hundred thousand?\nAnswer: -19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1233 - 589. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.82 + 18.42. Which is the nearest to 0? (a) t (b) -87\/25 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-21)\/(g*g**(-2\/103)) assuming g is positive.\nAnswer: g**(-2264\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.12835.\nAnswer: -0.02567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -108, -119, -130?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -2976.82?\nAnswer: 595.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 4. Let i(z) = z - 1. Let n(v) = -7*i(v) + 3*s(v). Give n(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5194 - -3?\nAnswer: -5191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -13, 452 in ascending order.\nAnswer: -13, -3, 3, 452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.15 + 626.\nAnswer: 624.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 210139.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 152\/26 - ((-216)\/52 + 4). Let u(w) be the second derivative of b*w - 1\/4*w**4 + 0*w**3 + 0*w**2 + 0. Let z(r) = 2*r**2. What is u(z(s))?\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000936 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.1 (b) 11\/6 (c) -2\/3 (d) -7 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-three fifths of a tonne?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229059529 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3346386 (base 10) in base 6?\nAnswer: 155420310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*y - 13 + 13)*(546*y + 219*y**2 - 546*y) + 0*y**3 + 2*y**3 - y**3 in the form a*y**3 + f*y + x*y**2 + j and give a.\nAnswer: -1532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 29. Let l be (z + (2 - -1))\/((-9)\/(-600)). Let a = l - -37. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 498 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108958*c**3*d**3 + 513857*c**3*d - c**3 + 13*c*d**2 - 2*d**6 wrt d?\nAnswer: 653748*c**3 - 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 18 - -26 - (-3 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2563*-4.\nAnswer: -10252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3260 and 15760?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -80*(16\/20)\/1. Let y be h\/(-24)*(-3)\/(-2). Solve -28 = -0*u - y*u - 4*q, -q + 3 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*o - 33*o + 24. Calculate the remainder when 21 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7861839400 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 0*d**2 + 0*d + 7 - 2\/3*d**3. Let z(q) = -q**2. Give z(p(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - (-117)\/(-26))*(2 + 708). Calculate the greatest common factor of h and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**4 - 12*k**3 - 27*k**2 + 4*k + 36 = 0.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -4*s - 8, -4*s + 5 = 2*p + 33 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 x when four letters picked without replacement from {g: 2, x: 6, z: 2, q: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11337\/19 + -597. Let v = 160 + -9121\/57. Let n = d + v. Which is the second smallest value? (a) 4 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/44183 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48489*j + 48489*j + 298*j**3 - 295*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**7\/126 + 7*p**6\/15 - 23*p**5\/5 + 142*p**4\/9 - 64*p**3\/3 - 2814*p. Factor k(o).\nAnswer: o*(o - 2)**3*(o + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 308 = 4*w, -3*w - 2*a + 231 = -a. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -76*a - 526. Let c be w(-7). Solve 81*n + c = 75*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26423 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46\/9 in -6\/37, 0.7, -2\/7, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 793561192 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -15.4. Sort -2, s, -3\/7, -7.\nAnswer: -7, -2, -3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 - 4302*h**3 + 69 + 1514*h**3.\nAnswer: -2788*h**3 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:55 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5ac9e (base 15) to base 2\nAnswer: -1000110101110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 166619135*h**3*w**3 - 27234*h**2*w**2 + 616*w**3 - 2 wrt h?\nAnswer: 999714810*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18184, 22649, 27114, 31579?\nAnswer: 36044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-3))\/(-1*1\/(-6)). Let y be -1 + (-1464)\/(-28) + 4\/x. Solve -46 - 7*l**2 + 2*l**2 + y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (114\/(-76))\/((-3 + 2)\/2). Let m = -16 + 4. Let w = m - -12. Solve -n*u - u = w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 87\/22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46789, -93620, -140449, -187276?\n\"Answer: f**2 - 46834*f + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684543415 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 1. Let i(f) = -7*f - 1. Let p(n) = n**3 + 6*n**2 + 6*n + 30. Let w be p(-6). Let s(m) = w*t(m) + i(m). Calculate s(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 2629180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1870*i**4 - 927*i**4 - 776*i**4 - 4*i + i**4 + 4*i + (-i + 0*i - i)*(0*i**3 + i**3 + 0*i**3).\nAnswer: 166*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -14*w. Let g(f) = -11*f**2. Calculate g(l(y)).\nAnswer: -2156*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/7)*h*h*h**19 assuming h is positive.\nAnswer: h**(150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 2395, -3 in descending order.\nAnswer: 2395, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 349324 to the power of 1\/2, to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 263053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -735300.\nAnswer: -2\/183825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**1)**32\/(w**(-1)\/w)**(3\/14) assuming w is positive.\nAnswer: w**(227\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1164854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 5*w**2 + 3*w - 48. Let q be c(6). Solve -4*h + 0*h + 2*p - 8 = 0, 0 = -3*p - q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t. Let l(b) = 58*b. Calculate 24*j(x) + 3*l(x).\nAnswer: 150*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + h**2 - h - 42. Let y be n(0). Let j be y\/4*4\/(-3). Is ((-2667)\/j)\/((-1)\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -89, -92, -59, 28, 187?\n\"Answer: 3*l**3 - 24*l - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 5:12 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 14250*x**2 - 71325*x.\nAnswer: 3*x*(x - 5)*(x + 4755)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 127740 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/64, -4, -70?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + w - w + 2*w + 0*w + 0*w + w + 0*w + (-w + 0 + 0)*(1 - 1 - 1) - 6121 + 546 - 16*w + 17*w.\nAnswer: 5*w - 5575","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/36 and -33\/6746.\nAnswer: 121428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*2\/(-2 - -4). Let d = 5.6 - 6. What is the closest to z in -5, 0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000377365 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(2205) - (0 + sqrt(3) + 2 + sqrt(192) + sqrt(3)).\nAnswer: -209*sqrt(3)\/21 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-3 - (-1 + -3)*2). Put m, -5, 0, -1 in increasing order.\nAnswer: -5, -1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, f: 3, p: 2, z: 2}. Give prob of sequence fwww.\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -7*s + 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/4))**(37\/5)*(d**(-2\/3)\/d*d)**(3\/17) assuming d is positive.\nAnswer: d**(-1927\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76910?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 3148)\/((-350)\/4900). Round t to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/((-748)\/33)*6. Solve -c*a = -134 + 116 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -321 - -320.99999853. Round o to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 1136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (3 + 7 + -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x = 41*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - b - 2 + 1)*(8*b**4 - 25*b**3 + 25*b**3).\nAnswer: -8*b**5 - 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(40) - (-1*sqrt(40) - sqrt(40))))\/(sqrt(392) - (sqrt(392) + -2*sqrt(392))))**2.\nAnswer: 180\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utuuuutuuututuutuuu. What is prob of sequence ttuu?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (33 - -4)*(-1 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 - 11*h + 13. Let d(f) = 4*f**2 + 9*f - 14. Let o(j) = -2*d(j) - 3*m(j). Calculate the remainder when o(-6) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 7*p**2 - 7*p - 10. Let o be 2*1\/(-3) + (-1184)\/222. Let v be g(o). Is -1*(6\/v)\/(2\/508) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2398*f. Let n(j) = -9*j**2 - 33*j**2 + 61*j**2 - 18*j**2. Determine n(p(y)).\nAnswer: 5750404*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233 divided by 9799.\nAnswer: -233\/9799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -775 + -10237?\nAnswer: -11123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 16 = t, 3*l - 64 + 12 = -2*t. Suppose -3*w = w - t. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 6*k**2 - 5*k - 3. Suppose 3*x + 3 = 0, -5*y = 5*x - 9 - 1. Let j be 2\/(-2)*y - 2. Calculate t(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 - 66*a + 940\/3.\nAnswer: 2*(a - 94)*(a - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2895 - 453?\nAnswer: 2442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 9 (b) 11 (c) -3629 (d) -3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*p - 5*p + 6 + 0*p - 3*p + 9*p**2 + 166 wrt p?\nAnswer: 18*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 181\/7 + -26. Suppose 642*k - 660*k = -54. Which is the smallest value? (a) k (b) q (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 4*o**2. Let u be k(2). Let s be (1\/6)\/(4\/u). Factor -1\/3*n**4 - 2*n**2 + 4\/3*n + 4\/3*n**3 - s.\nAnswer: -(n - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + 10. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + 74\/(-1)*-1 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z + 1 - 3*z + 2*z**2 + 3*z - z**3. Let a be i(2). Calculate the remainder when -2 + 6 - (a - 17) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0*(-3)\/6)\/1. Let k = 6 + -2. Let m be (4\/6)\/(2\/(-3)). Sort k, a, m in ascending order.\nAnswer: m, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 6852790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 - -206?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**4\/4 + 8*h**3\/3 + 2*h + 11. Let x be u(-8). Solve x - 7 = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 54, 141, 256, 393, 546, 709?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646473911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 610488 (base 11) in base 15?\nAnswer: 145c52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 5) to base 16.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*u = -220*u - 24. Suppose -5*i - 25 = 0, 0 = a + u*i + 7 + 5. Solve 0 = -11*x + 58 - a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 417, 629, 411, -453, -2179, -4983, -9081?\nAnswer: -14689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 15*w = 3. Sort w, -1, -4 in decreasing order.\nAnswer: -1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97915 (base 10) in base 15?\nAnswer: -1e02a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-183))\/((6\/21)\/((-384)\/(-896)))?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -3 (c) -1.07 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3597 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*s**2 - 78*s**2 - 202*s**2 to i + t*s + a*s**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 593 = 5*f, 0 = -3*f - f + 3*v + 493. Let i = f + -79. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -36531*f - 594. Let y(a) = -307*a - 5. What is -5*o(k) + 594*y(k)?\nAnswer: 297*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*x + 132 = 0, 3*f - 48 - 84 = 4*x. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - v**2 + 0*v**2. Let a(q) be the second derivative of -q**4\/12 + q. Determine a(x(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**2\/2 + 9650*l - 9312250 = 0?\nAnswer: 1930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from yyccyyfyjyryrcyfwyyw.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (66\/27)\/((-11375)\/1250) - (-6)\/21\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, b: 1, w: 2, c: 1, y: 1, k: 5}. What is prob of picking 2 w and 1 k?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -266364?\nAnswer: -266360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 3213 = 7*a. What is the greatest common divisor of 170 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - 3401*t + 6753*t - 3419*t to z + n*t and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 20)*(-3)\/(-18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w - 3*w + 2*w)*(4781 + 5026 - 9247).\nAnswer: 5040*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = m + 12. Calculate the remainder when 71 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: What are the prime factors of (1 + (-202)\/(-8) + -4)\/(5\/1260)?\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5514, 5510, 5506, 5502?\nAnswer: 5498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 2. Let t be (12\/5)\/(6\/15). Let s be (-4)\/t*9\/51. Which is the third smallest value? (a) i (b) -5\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*b + 820, -3*b + 619 = 9*y - 10*y. List the prime factors of b.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4294.834 centimeters in meters?\nAnswer: 42.94834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 5 - 5 + (1 + 4*h - 1)*(10 + 16 - 75644*h**2 + 75643*h**2))*(3 + 3 - 5) + h - h + 2*h**3.\nAnswer: -4*h**3 + 104*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -617\/7 - -88. Let g = -14.9055 - -12.9055. What is the second smallest value in -0.5, r, 3, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2 - 5, -3*p - 1623*m = -1626*m + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 441895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 - 3*y - 59. What is the thousands digit of r(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -12 in ascending order.\nAnswer: -12, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((0 - 1) + 3)\/((-14)\/(-42)*-14). Let w = 7 + -2. What is the second biggest value in w, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 80, -0.02, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 + 11100000111110111101101?\nAnswer: 11100000111110111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 47 = -0*d. Suppose -5*y - 14 = 5*n + 146, y + 4*n = -47. Let m = y - d. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 610 = 3*h + 5*o, h + 5*o - 98 = 0. Suppose 10 - h = -t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -276.\nAnswer: 1\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 89192, 89184, 89172, 89156?\n\"Answer: -2*j**2 - 2*j + 89196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y**3 + 11*y**2 + 11*y. Let v(n) = -3*n**3 - 4*n**2 - 4*n. Suppose 7 + 19 = -5*f + 3*m, -2*f + 4*m = 16. Give f*i(a) - 11*v(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -169, -6, -5 in decreasing order.\nAnswer: -5, -6, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60287 and 3895?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*d**6 - 2*d**4 - 377*d**2 wrt d.\nAnswer: 1320*d**3 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -9*h - 55 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -48677, 5, -11, 135 in descending order.\nAnswer: 135, 5, -11, -48677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 13*r**2 + 70*r + 143. Let w(y) = -3*y**2 - 17*y - 36. Let b(u) = 9*w(u) + 2*z(u). Let o be b(-8). Solve 0 = 2*v - 8 + o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38868444 by 52596.\nAnswer: -739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/3)\/(180\/72).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19285181?\nAnswer: 47, 410323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7 (b) 11 (c) -2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -53. Suppose 356 + 634 = g*l. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 + -0.158\nAnswer: 0.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 - -78. Let w be (-6 + 6)\/(3 + -1). Suppose -3*f - 5*d + 1 + 4 = 0, -5*f + 5 = 5*d. Solve f = h - w*h - a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-1*-6 + sqrt(99))*5*-2)\/(((sqrt(81) + sqrt(81)*2 - sqrt(81))*6 + sqrt(81))\/sqrt(9)*-2) + 3.\nAnswer: 3 + 35*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50.9 - 51. Which is the smallest value? (a) 1 (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, w: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 39 - 31. Let t(n) = -n**3 + 7*n**2 - 5*n - 7. Let p be t(6). Calculate the remainder when i is divided by p - (0 + -1 - 12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*k**2 + 4 + 0*k**2 + 3 + 2*k - 10*k**2 - 41*k**2 in the form b + y*k**2 + h*k and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115422.\nAnswer: 2, 3, 19237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48220 is divided by 1418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 9*t = -r - 262, 2*r = -2*t + 100. Calculate the remainder when 374 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*g - 80, 0 = -g + y + 4*y - 16. Let u be ((-3)\/6)\/1*g. Let q = u - 5. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-57524)\/(-6))\/((-168)\/(-36) + 1*-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/2 - (-77)\/(-22))\/(-1). Suppose 0 = 2*p - 0*l + 5*l - 8364, -c = -l. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8793 and 2925.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d**2 + 5*d**2 + 2*d**2 - 1 + 0 - 7*d. Let w be z(-5). Which is bigger: 7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -796443 + g**3 + 796443.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 7 - 17 = 0, 0 = w + 5*t + 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 3*i**2 - 58*i + 10. Let f be g(-9). Calculate the greatest common factor of 6 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y**2 - y - 1. Suppose 0*u + 2*u = 5*j + 2, -j - 2 = -2*u. Let t(s) = -7*s**3 + 0*s**2 + 9*s**2 - s**2 + 6 + 8*s. Calculate u*t(r) + 6*n(r).\nAnswer: -r**3 + 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1091676?\nAnswer: 2, 3, 29, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1247*i**4 + 3562 wrt i.\nAnswer: 4988*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 198900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.41 rounded to 1 dp?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**3 - 4*w**3 + 15*w**2 - 4*w**3 - w**3. Let c(d) = d**2. Calculate -15*c(o) + h(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -713424, -2853556, -6420442, -11414082, -17834476, -25681624?\n\"Answer: -713377*i**2 - i - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.509843g to kilograms.\nAnswer: 0.002509843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkrrrrnrqvq. What is prob of picking 1 k and 2 r?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 50. What is the smallest value in -8, a, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 162108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 320.09 + 2.91. Let n = -571 + o. Let j = 248.0755 + n. What is j rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 16*p**2 + 20*p - 5. What is n(-15)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1640, 1639, 1630, 1607, 1564, 1495, 1394, 1255?\nAnswer: 1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c**2 - 3*c**3 + 2 - 8*c**2 - 672*c - 477*c + 1384*c in the form k*c + g*c**2 + h*c**3 + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1188695 * -0.7\nAnswer: 832086.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(240))\/sqrt(12))\/(sqrt(40)*6).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/7*20*(-6)\/480?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a + 31 + 14*a - 34*a - 102.\nAnswer: -5*a - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joo when three letters picked without replacement from djucoxdxjdodxox.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 11 - 5. Let d(k) = -k**3 + 6*k**2 - 2. Give d(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2391 + 2390.5935. Round c to 2 dps.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + p + 16. Calculate the remainder when 14 is divided by m(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -6996\/7, 0.13, 0.4?\nAnswer: -6996\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7717.\nAnswer: 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 + 98. Solve -4*s - 3*u + 35 = h*u, 22 = 5*s - u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(sqrt(162) - (sqrt(162) + -1))*-6 + -4 + -4.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - g. Let v(f) = -f**2 + f. Let m(n) = q(n) - 2*v(n). What is the second derivative of m(j) wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58032 and 546065?\nAnswer: 78633360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e32e - 16?\nAnswer: -2e345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5374 + -0.5374. Put -8, -9\/2, -0.4, j, 2\/7 in decreasing order.\nAnswer: j, 2\/7, -0.4, -9\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 19\/5 (c) -0.018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2314))\/((-177)\/(-1534))*(-4)\/(-2)?\nAnswer: 4\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 6 - 153 = 0. Suppose -3*r - 2*g = r - 122, 3*g = 5*r - h. Calculate the greatest common factor of r and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27195 and 433307?\nAnswer: 1813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u + 2*t - 6 = 0, 2 = 3*u - 4*t. What is the second derivative of -9*b - 2*b + 5*b**2 - 3*b**u wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 95*v - 90*v = 7670, 5*q = -3*v + 19175. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**6\/57 - 34*x**5\/19 + 165*x**4\/19 - 980*x**3\/57 + 325*x**2\/19 - 162*x\/19 + 1001. Find o, given that n(o) = 0.\nAnswer: 1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239.5525 millennia to centuries.\nAnswer: 2395.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {n: 3, c: 2, a: 1, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from jgcjjjcccjzjjggcjc?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -41, 19, 135, 325?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 64770536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/8 and -91\/773784?\nAnswer: 773784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -99 (c) -0.14 (d) -0.2 (e) -0.1 (f) 23\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 569244*l**2 - 569219*l**2 + 0*l - l.\nAnswer: 25*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9849\/20874 - (-14)\/(-2485)*-5. Let n = -1 - -3. What is the nearest to f in -0.2, n, 4\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (56\/(-10))\/(146\/3285). Which is smaller: m or -6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**3\/4 + 3*p**2\/4 - 18*p + 38. Determine h so that c(h) = 0.\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202 (base 4) in base 7?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12540218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2159*k + 7 + 4282*k - 2174*k)*(-4 + k + 4).\nAnswer: -51*k**2 + 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/2)\/(-3*6\/135))\/((-8135)\/3254)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 5*r**2 + 5*r - 3. Let z be l(-6). Let q(k) = 7*k + 47. Let h be 128\/(-22) + (-12)\/66. Let d be q(h). Is z at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**5\/60 - v**4\/4 + 4*v**3\/3 + 3*v**2. Let z be t(7). Suppose -d + z = -4. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -307, -1224, -2753, -4894?\n\"Answer: -306*r**2 + r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 18 = 4*i. Let w be (0 + 9)\/((-3)\/i). Suppose 0*b - b = -5*q - w, 3*b - 92 = 4*q. What is the remainder when b is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*k + 72, 2*k - 58 - 26 = -4*l. Calculate the greatest common divisor of l and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x - 6. Let i be v(16). Let a = i - 22. Suppose -a + 2 = 2*m, 4*m = -3*f + 17. Let h(l) = l - 7. What is h(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*n, 3*j - 2*j - 3*n - 7 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 1\/6, 0.5, -3 in ascending order.\nAnswer: -3, 1\/6, 0.5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*x = 15 - 3, -5 = 2*d - x. Let i be 1\/d*4\/8*0. Solve -23 = -5*c + s, -2*c - s - s + 14 = i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -186\/11 (b) 1 (c) -1\/5 (d) 18 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.44 - -0.64. Let k = l - -1.8. What is the third biggest value in 0.4, k, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**5\/120 - h**4\/2 + 80*h**3\/3 + 66*h. Let l(w) be the second derivative of n(w). Give l(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 7)*(-2*v + v + 2*v)*(9 - 3 - 1)*(-5*v**3 + 3*v**3 + 3*v**3).\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**3 - 3*u**2 + 24*u + 30. Let r be i(-9). Suppose -x + r = x + 3*s, 4*x + 2*s = 4986. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427850821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 - 30*g**2 - 5*g + 4. Let o(v) = v**3 + 2*v - 1. Give 2*l(j) + 6*o(j).\nAnswer: 2*j**3 - 60*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 1. Let z be n(5). Suppose z*u - 152 = -14. Let k(i) = 8*i - 39. Let l be k(u). What is the greatest common divisor of l and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1340756297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2387 = -97*b + 174*b. Calculate the highest common divisor of 403 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 85*o - 353. Let s be v(89). What is the closest to 0.2 in -14, 0.1, s, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52309 and 85289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4684 bigger than -15823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 36 = -2*x - 24, 4*x = -2*g + 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 4. Let r(c) = -3*c - 9. Determine -9*k(p) - 4*r(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -7911, -25, 0, 4, -3, 5 in decreasing order.\nAnswer: 5, 4, 0, -3, -25, -7911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.051068 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*g**3*j**2*t + 19*g**3*j*r - g**3*j + 8*j**2*r**3 + 2*j**2*r**2*t - 2*j*r**3 + 3*j*r*t wrt j.\nAnswer: 70*g**3*t + 16*r**3 + 4*r**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 41. Suppose i*x + 6 = -0*x. Sort x, 1, -5 in increasing order.\nAnswer: -5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 704\/(-2640)*5\/(-8).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2921 - 46*m - 938*m + 45*m - 454*m - 186*m wrt m.\nAnswer: -1579","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*z - 423*z + 204*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, 289, 1\/5, 1\/23, 2, 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/2491 and 41\/(-164) - (-1)\/((-36)\/(-65))?\nAnswer: 22419","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 689.5.\nAnswer: 13.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*s + 16, 0 = -10*s + 5*s. Suppose -2*t + 6*t = 0. Suppose -4*i = 2*r - 38, t*r = 4*i + 5*r - 35. Calculate the remainder when i is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159656 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + x + 1. Let k(w) = w**3 - 2*w**2 - 17*w - 16. Let d(v) = -6*a(v) - k(v). Let p be d(-6). Solve 0 = 20*i - p*i + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 2 + -2 + 49. Calculate the greatest common divisor of 23 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 93*z**3 - 2*z**2 - 2*z - 1. Let l be r(3). Suppose 9*q + l + 8314 = 0. Round q to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(36))\/((sqrt(30) + (sqrt(30) - sqrt(90)\/sqrt(3)))\/sqrt(10)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -586*k - 3534*k + 188*k - 209*k to v + a*k and give a.\nAnswer: -4141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283572228.\nAnswer: 2, 3, 3581, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3453216880 rounded to the nearest one million?\nAnswer: -3453000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-2*u + 0*u + 4*u)*(-274*u - 239704 + 239704).\nAnswer: -1096*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -45. Let g = k + -17. What is the second smallest value in -2\/5, g, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -40*n**3 + 5*n**2 - 2*n + 17 + 15 + 41*n**3 + 12 - 40. Determine u(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8715 + -13.8715. Sort 1\/3, -2\/7, s, -9.\nAnswer: s, -9, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 1\/6 (c) 36 (d) 3 (e) -0.08 (f) -0.06 (g) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + j**2 + 5*j**2 - j**2 to s*j + q*j**2 + i and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -3)*(12 - 2). Let d = 14 + m. Solve 1 - 9 = -d*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 20 = -g. Suppose 0 = -4*q + 6*q - g. Solve r - q = -0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 + 68 - 2*z**4 - 8*z**3)*(1 + 3 - 3) - 232606 - 13*z**4 + 3*z**4 + 232668.\nAnswer: -12*z**4 - 8*z**3 + 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514 a factor of 1258933813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 23*q + 6*q)*(-6*q**2 + q**2 + 0*q**2)*(572 + 205*q - 572).\nAnswer: 12300*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**4 - 1650*c**3 - 101165*c**2 + 5768400*c - 61110080 = 0.\nAnswer: -184, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, -2\/3, -22.3 in decreasing order.\nAnswer: -2\/3, -4, -8, -22.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 255 and 1\/865219 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**2*d)**11 assuming d is positive.\nAnswer: d**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 44952d (base 16) to base 13\nAnswer: c14a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4288.967 centuries?\nAnswer: 42889.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -821 - -875. Let v(d) = -50*d**2 + 111*d**2 - s*d**2 - 5 + 0 - 2. Let f(x) = -2. Let b(k) = -k**2 + 11. Let p(t) = 2*b(t) + 11*f(t). Give p(v(r)).\nAnswer: -98*r**4 + 196*r**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 137*b**2 + 531*b + 124. Determine k(133).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1404 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -4, 323?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 - 79. Let z be (-6)\/n*(1 + -6). Let r = 32\/9 - 343\/99. What is the nearest to r in -3, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 290089.\nAnswer: 32\/290089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 7:55 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330153?\nAnswer: 3, 110051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0366 >= -163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 44514.\nAnswer: -5\/44514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 31 - 19 = 0. Let c(z) = 1. Let i(k) = 4*k - 36. What is u*i(h) - 72*c(h)?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*(0*x - 3*x + 2*x) + (-6*x - 60 + 60)*(8 + 15 + 18 + 76) as u*x + n and give u.\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5282923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/((-2)\/12). What is the common denominator of (-10)\/(-8) + -9 + (-345)\/(-80) and l\/8*6\/(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + g - 2 = -3*z, 0 = -2*g - 2*z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88501*k**5 + 7405*k - 10 wrt k?\nAnswer: -1770020*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/196*(-132 - -146)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1316497*v**3 + 195123*v**2?\nAnswer: 7898982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1337.9653 - -2?\nAnswer: 1339.9653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2\/9, 4, 5.\nAnswer: 2\/9, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2212 + 2392 = -5*s, 11*s + 3*p - 150 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*17\/85*(-5)\/(-5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-540))\/((-3 + 17\/5)\/1)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64357612 - -424991332. Let z = r - 360633755.0000038. Let g = z + 35. Round g to 7 decimal places.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3692, -29456, -99384, -235556, -460052, -794952, -1262336?\n\"Answer: -3680*m**3 - 2*m**2 + 2*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 5*c. Suppose -10 = x - 0. Calculate the smallest common multiple of c and -1 + (-2 + 1)*x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(-162)\/45*(-15)\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5232.350038 + -5232.4. Let l = m + 0.05. Round l to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 96 = -4*d. Suppose 2*k = -2*z - 44, 0 = -5*z - 2*k - d - 74. Let j = -3 - z. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6) + 6 - (16 + (-31 - -61))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 5*n**2 - 6*n + 8. Let l be i(-6). Suppose -12 = -53*q + 50*q. Calculate the greatest common factor of q and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {a: 1, t: 3, h: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {t: 2, l: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 65 and 50 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 5*y. Let b(f) = -f**2 + 15*f - 45. Let o be b(10). Solve 0 = -y*x + 3*x + p + 4, 2*x = -o*p + 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 152175.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -5.25?\nAnswer: -15.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 30*s - 8, 3*z - 24 = -2795*s + 2800*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -57. Suppose 0*b + i = 2*b. Suppose -47 = -l - t + 26, t + 3 = 0. What is the greatest common factor of b and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57026303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w - 1. Let t(p) = -p**3 - 3*p**2 + 3*p + 2. Let b be t(-4). Let u = -3 + b. Suppose -2*c - 1 = -u. Give o(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**5 - 72*y**4 - 3079*y**3 + 1027046*y**2 wrt y?\nAnswer: -60*y**2 - 1728*y - 18474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1146 - -1150. Let w(v) be the second derivative of 20*v + 0 + 17\/2*v**2 + 1\/5*v**5 + 0*v**n + 0*v**3. What is the derivative of w(d) wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 15) in base 3?\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2 - 4 + 5 + 8*a. Let w(d) = -d**2 + 22*d - 111. Let z be w(8). Give n(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72.6 equal to -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -825.03 * -9951.\nAnswer: 8209873.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64*s**6*z**2 + s**5*z**2 - s**2*z**2 - s**2*z + 125*z**2 wrt s?\nAnswer: -7680*s**3*z**2 + 60*s**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*y + 35 = -0*b, 0 = y - 3. Suppose 2*o - 10 = 2*p, -b = 3*p - 2*o - 2*o. Solve p*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15415930 divided by -3083186?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**3 - 10039375*j**2 + 40157640*j + 120472740 = 0 for j.\nAnswer: -2007879, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 518\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v**2 + 4*v**3 + 3*v + 28*v**3 + 11 - 31*v**3. What is the least common multiple of r(4) and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-5))\/(189\/(-70)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n**2 + 50 - 50)*(0 + 1 - 4) + (n - 2 + 2)*(-2*n - 2*n + 6*n).\nAnswer: 23*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53.4 + 53.5. Which is the nearest to 0.5? (a) t (b) 4\/7 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 9:16 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from {b: 2, p: 2, y: 1, c: 3, w: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40031 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 11:19 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51394764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2aab5e9 + 0?\nAnswer: 2aab5e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 = 6, -2*w + 5*y = 4. Let b be (-2 + 5)\/((-3)\/2). Let t be 3 + b*3\/6. What is the highest common factor of t and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)*j*j**(-1))\/(j**(4\/7)\/j**(-2\/9)) assuming j is positive.\nAnswer: j**(-37\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107\/4 + 27. Let o(s) = -s + 5. Let c be o(-2). What is the second smallest value in c, 2\/3, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21108*x**3 + 107104*x**2 + 72708*x - 175896 = 0. What is x?\nAnswer: -3, 4886\/5277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -19*x**2 - 95*x - 95. Let f(o) = o + 1. Let s(t) = 95*f(t) + p(t). Let h(c) = c. Give h(s(g)).\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/5 + (-864)\/(-15). Let t = c - 26. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.1 (c) 2631.99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**8)\/n*n)\/((n*(n*n\/((n*n*n*n**(-2\/35))\/n))\/n)\/n))**15 assuming n is positive.\nAnswer: n**(1044\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, 2\/7, -4, 20?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 817463, 817462, 817461, 817460, 817459, 817458?\nAnswer: 817457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 - 2*p**2 - 3*p + 3. Let u be v(2). What is the third derivative of -f**5 + 7*f**5 - 2*f**5 - f**2 - 5*f**u wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5013 (base 6) in base 7?\nAnswer: -3114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/9 - 26*w\/9 + 32\/3 = 0. What is w?\nAnswer: -16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 132, 547, 1240, 2211, 3460, 4987, 6792?\n\"Answer: 139*h**2 - 2*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/929648 and 121\/12.\nAnswer: 2788944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 0 - 1\/8*d**4 + 0*d**2 + 23*d - 1\/40*d**5 - 1\/6*d**3. Determine j so that t(j) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -o + 2*k, o - 4*k = -4*o + 25. What is the hundreds digit of (-176)\/(-220) - (-771)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -295\/84 + -57\/14. Suppose -2*a + 5657 = -3*w - 6847, -a - 2*w = -6259. Let p = a + -62603\/10. What is the common denominator of p and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2805*i + 2805*i - 50*i**2)*(-i**2 + 3*i**2 - i**2) - 44*i**2 + 28*i**4 + 44*i**2.\nAnswer: -22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -297, -0.08, 13, 1, 2\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*u + 32*u + 5215 = -66*u + 135*u for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -725680504*q**4 - 814304939*q wrt q?\nAnswer: -8708166048*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12178, -12179, -12180, -12181, -12182, -12183?\nAnswer: -12184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 2*d**2 + 2*d + 1. Let t be b(-1). Suppose 5*o + t*o = 285. Suppose p - 4*g = o, 0 = -5*p + 2*p - g + 132. Round p to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b27c6 (base 13) to base 4\nAnswer: 1032012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - y + 15, 0 = -y + 3 - 0. Suppose -m + 0*m + 5*v = -13, -4*m - c*v = -28. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -q - 3, -2 = -4*v + 5*q. Let u be v*(-4)\/(-18) + 0. Suppose -2*n + 4*n = 5*a + 13, 0 = 4*a + 12. What is the nearest to n in u, -2\/9, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -137\/1064 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 49073.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-2) - (-23)\/(-1). Let w = p + 64. Suppose -w = -5*f - 4*s + 2*s, -16 = -3*f + 4*s. Calculate the lowest common multiple of f and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*o**3 - 19*o + 4*o + o**3 + 16*o.\nAnswer: -97*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-228*u - 140*u + 232*u)*(3*u - 2*u - 17*u).\nAnswer: 2176*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 39587 - 712 = -3*n, -4*n - 51831 = -5*j. Let b = -70704049\/22 - -3226782. Let u = n + b. What is the common denominator of 101\/16 and u?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 2*t**2 + 3*t**2)*(-5*t - 4 + 4) + ((3 + 2 - 4)*(-2 + 2 + t**2) - 2*t**2 + 2*t**2 - 2*t**2)*(t - t - 2*t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (234\/21)\/((-13)\/(-273)). What is the greatest common divisor of r and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 182 - 178. Suppose d*t - 7*t + 60 = 4*j, 0 = 5*j - 15. Calculate the remainder when 4\/(-16) + 882\/8 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1*(-312)\/8)\/1*1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1238*f**2 - 4727*f**3 - 189*f**2 + 13204*f**3 wrt f?\nAnswer: 50862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 1100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 27. Suppose 2*n + 25 = -c. Let g = 32 + n. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -5\/3 (b) 3\/8 (c) -4\/7 (d) 555\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - p**2 - 5*p + 4. Does 7 divide j(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00032103 to 5 dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 - 0.1. What is the closest to o in 1\/2, -0.4, -0.02?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 11. Let j = -3 - m. Let p(r) = r**3 - r - 2. What is p(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 15 - 5 + 12*s**2 + 132*s**2 as c*s**2 + n*s + v and give c.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20300 or 20317?\nAnswer: 20300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 - 3*z**5 + 2*z**3 + (-3*z**4 + 0*z**4 + 0*z**4)*(0*z - z + 3*z) - 9*z**5 + 7*z**5 - 10*z**5.\nAnswer: -21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*k = -147*k + 2421 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166 or 1838\/11?\nAnswer: 1838\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - (5 - (19 - -22))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**4\/9 + 26*s**3\/9 - 92*s**2\/9 + 64*s\/9 = 0.\nAnswer: -16, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 10*i**2 + 5*i + 7. What is the units digit of p(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45614044 divided by 5\nAnswer: 45614044\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**2\/5 + 832*m\/5 + 86528\/5 = 0.\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**3*x**4 + 39*o**3 + 202*o*x**4 - 98*x**4 + 514*x**2 wrt x.\nAnswer: -48*o**3*x + 4848*o*x - 2352*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-58)*2195\/19755.\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9784*b**3 - 2606*b**3 + 34*b - 5*b - 29*b.\nAnswer: 7178*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 8*r + 10 = 3*r, 4*d - 10 = 5*r. Suppose 2*m + 2*s - 14 = d, 0 = 4*m + 2*s - 9 - 19. What is the closest to -3\/2 in 3, m, -2\/13, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3729*y + 3799*y + 2978*y + 3597*y to the form v + q*y and give q.\nAnswer: 14103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237087.\nAnswer: 3, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -6*j + 373. Let w = 67 - j. Let o be (-21)\/(-7) + 2*w. Solve -o = 4*z - 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**3 + 46*q + 12*q - 2*q**4 + 1816 - 1818 + 81*q to the form w*q**2 + o + d*q**4 + f*q**3 + s*q and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/9)\/((112\/12)\/(-2)). Which is the second biggest value? (a) -3\/7 (b) -1\/7 (c) -508 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1765657 is divided by 766?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 878 - 266. Suppose 7*w - h - 449 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1070398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - k - k + (-90 + 90 - 22*k + (-k + 0 + 0)*(-1 - 2 + 0))*(-2 + 3 - 3).\nAnswer: 39*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.147 and 2?\nAnswer: -2.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155955*217.\nAnswer: -33842235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1564)\/(-153) - (-6 - -16)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**2 - 99*f**2 - 5*f**2.\nAnswer: -95*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 0, -3, 2.71?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:19 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321 = 36*z + 3 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21891717 - 21891716.84863731. Let g = 0.57136377 - k. Let l = 0.42 - g. Round l to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1 = 3*r. Suppose -5*d = -2*d - 15. Suppose 4*y - 3*u + 3 = 15, 0 = -y - d*u + 3. Solve 2*i + r = -y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.49 + -0.49. Let j = 3572\/19525 - 2\/1775. What is the nearest to s in -1, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 - 4 + z - 4*z + 5*z**2. Let v be t(3). Let c be 1\/v*(-4 + 9). Solve 5*r - 14 = c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32, 88, 142, 188, 220?\n\"Answer: -k**3 + 5*k**2 + 48*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79907422 to the power of 1\/3, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, u: 1, q: 2, v: 7, g: 6}. Give prob of picking 1 u and 1 g.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, a: 2, d: 1, g: 1, e: 1, l: 1}. Give prob of picking 1 a and 2 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*g**3*h**3*m**2 + 6*g**3*h**2*m**2 - 2*g**3*m**3 + 10*h**3*m**3 + h*m**3 wrt h.\nAnswer: 72*g**3*m**2 + 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 3*v - 3*v)*(-19*v + 28*v - 7*v + 197).\nAnswer: -4*v**3 - 394*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/j*j)**(1\/7)\/(j\/j**(-1)*j)**(-2\/29) assuming j is positive.\nAnswer: j**(13\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 100861.9 meters?\nAnswer: 100861900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/3)*v*v*v*v**(1\/5))\/(v**(1\/12)*v**(-12)) assuming v is positive.\nAnswer: v**(329\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9413831\/192 + 49030. Calculate the common denominator of n and -31\/66.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -1)\/((-18)\/477). Let b = p - 103\/2. Let k = -2.938 - 0.062. What is the second biggest value in k, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) - sqrt(2))*6 - (2*sqrt(10) + sqrt(10))\/sqrt(5))**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 5*x + 25, -x + 2 + 3 = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-5)*(1 + -6). Suppose r = 5, r = b + 3*r - f. What is the remainder when 7 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 11:52 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2568218 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 328073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -158, -40120?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 0*z**4 - 1\/3*z**3 + 0 - 3*z**2 + 0*z + 1\/60*z**5. Let s(j) be the first derivative of n(j). Determine s(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.47553258 rounded to four decimal places?\nAnswer: -19.4755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7976037 and 951.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/3 (b) -3934 (c) -0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -2 - (-2)\/(-1). Let r be (l - 1)\/(2\/(-6)). Let n be -1 + 2 + 25\/(-35). What is the second smallest value in -2, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22450, 22457, 22464, 22471, 22478, 22485?\nAnswer: 22492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*h - 33*h - 2*h**4 + (3*h**2 - 2*h**2 + 0*h**2)*(-h + h - h**2) - 56 + 150*h**4 + 11 + 43 - 3*h.\nAnswer: 147*h**4 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + -1*sqrt(200))**2 + 5.\nAnswer: -60*sqrt(2) + 214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*3*(-12)\/9. Let r(h) be the third derivative of h**5\/60 + 17*h**4\/24 - h**3\/2 + 32*h**2. Let c be r(-17). Sort c, x, 5.\nAnswer: x, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t - 2167 + 2156. Which is bigger: t or 2\/2679?\nAnswer: 2\/2679","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*c - 230752 = 411*c + 4379*c + 19992 for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 6*p + 1. Let w be a(6). Let q = w - -3. What is the third derivative of -3*s**q - 3*s**2 + 2*s**2 + 4*s**4 wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 35403.\nAnswer: -7\/35403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 23 (b) 5 (c) -576\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7))**15\/(t**(-1\/3)*t*t**(1\/3)*t)*(((t*t\/((t*t**(-2\/5))\/t)*t)\/t)\/(t*t**7))**(-12) assuming t is positive.\nAnswer: t**(2132\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(2\/3)*g)\/(g**(2\/5)\/g))**45)**(9\/4) assuming g is positive.\nAnswer: g**(1323\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 28. Let x be ((-3)\/(-2))\/(12\/j). Let v(c) = c**3 - 2*c**2 + 2*c - 2. Let b be v(x). Solve b*t + 12 = 6*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*(-3*((sqrt(17) + 2 - sqrt(17)) + 3) - (sqrt(612) + 1 - (sqrt(136)*1)\/sqrt(8)))*-2)**2.\nAnswer: 22800*sqrt(17) + 97300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/((a\/(a\/a**(-15)))\/a))*a\/a**16)\/((a*a\/(a\/a**(-24))*a*a*a)\/a*a*a*a**0))**(-14\/11) assuming a is positive.\nAnswer: a**(182\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*h + 14 - 4, 12 = -2*h - 4*j. Solve 3 = -h*p + p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 12. Let p(d) = 59*d + 7 - 50*d - 8*d. Give p(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 728668?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 3*c**2 - 5*c. Let v be o(-4). Let u be 165\/35 - v\/(-14). Solve 0*x - 10 = -2*x + 4*b, -u*x + 14 = b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110633 - 110631. Factor 11\/4*o - o**k - 1\/4*o**3 - 3\/2.\nAnswer: -(o - 1)**2*(o + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83442 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 723\/25 - (1\/(20\/16))\/(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + -3 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.409 + 21.409. Let k = 6 + -6. Let f = 0.3 - 0.4. What is the smallest value in u, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + r = -0*r + 7, 2*r + 1 = -3*w. Solve w*d - 9*d = -24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*x + 3*h, 16*x + 14*x - 51*x + 1 = -16*x + 4*h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6251771 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Let a(h) be the third derivative of -1\/120*h**6 + h**2 + 0 + 1\/30*h**5 + w*h**4 + 0*h + 0*h**3. What is the third derivative of a(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (712400\/822)\/(1\/(-36)). Round b to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -2, 6, 1243, 5.\nAnswer: -2, 0, 2, 5, 6, 1243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*y = 14 - 3, -4*y = -3*d + 24. Solve -5*c - 5*z = 10, 3*c - 8 + 35 = d*z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 21. Let k(y) = -h*y + 5 + 3*y**3 - 4*y**3 - 2*y**2 - 5*y**2. Suppose -2*u - 19 = -7. Give k(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11263391 is divided by 1262?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 73*a - 76*a. Solve -5*k + 5 = -a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 1. Let i(d) = d - 6. Let k be i(7). Let s be -3 + k - (-1 + 1). Sort 6\/11, f, s in decreasing order.\nAnswer: 6\/11, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 10*b**2 - 7*b - 186. What are the prime factors of h(15)?\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvyyyvvvyvvvvvvv. Give prob of sequence yvvv.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 886, 1897, 3040, 4327, 5770, 7381?\n\"Answer: 2*p**3 + 54*p**2 + 835*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3 + 11. Suppose -2*o = -m*o + 6. Let r(j) = -6*j**2 + o*j**2 + j**2. Let d(f) = 4*f**2. What is d(r(c))?\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -79. Suppose -16 = -r*p + 3*a + 1876, 0 = -4*a + 4. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, 2, 7.71, -10\/13, -7?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184484783.\nAnswer: 7, 26354969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.7 - 12.7. What is the nearest to 2 in o, -1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*o + 2 - 2)*(3 + 2 - 3) + 3*o - 2*o + o + (4*o + 0*o - 2*o)*(1 + 0 + 0))*(5*o**2 + 3 - 3).\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y - 14 = 17*y - u, y = -3*u - 112 + 98 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o. Let h(c) = c**3 - 2*c. Determine 2*h(f) - 2*p(f).\nAnswer: 2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 62.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 2*m - 1. Let j be f(0). Put 1\/3, 0, j in descending order.\nAnswer: 1\/3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -802, -2, 0 in decreasing order.\nAnswer: 0, -2, -802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/25520 and -6\/203?\nAnswer: 178640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68004 is divided by 62?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20210112 + 2222?\nAnswer: 20220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 10*l - 4 - 27 + 9)*(1 - 5 + 5) as t*l + z and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*2*(10\/75)\/(34\/51).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 55. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 203 - 204. Suppose -3*s + 2 = -7. Let f be (s\/14)\/(9\/(-12)). Which is the second biggest value? (a) f (b) 1\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**4\/12 - 7*h**3\/3 - 4*h. What is the remainder when d(-7) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*h - 3*b - 528, 2*b = h + 176. Let d = h - -192. Solve 3*f - t - 28 = 3*t, 2*t + d = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*u + 130*u - 207513 = -239631 for u.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k - 4. Let b be m(4). Suppose 5*j = 2*j - 5*x + 20, -j + x = -4. Suppose j*q - 4 = 3*s, 2*q = 3*s - 2 - 0. Solve -b = 5*z - s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/9*(-10)\/4. Suppose -b - q*t - 3 = 10, -2 = 5*b + 4*t. Put b, -4, 0 in increasing order.\nAnswer: -4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = -178*a + 1028 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g**2 + 2*g - 4. Suppose 2*b = 7*b + 15. Let r(a) = -8*a**2 - 3*a + 2. Let p(i) = b*n(i) - 2*r(i). Let x(s) = -s. Determine p(x(d)).\nAnswer: -8*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26526\/225471 - 176\/51?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2 + 4*y**2 + y**3 - 3*y - 2*y + 3*y. Let r be p(-2). Let i(o) = o**2 - 9*o - 7. Does 3 divide i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65.5 - 66. Which is the closest to -6? (a) -5 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8253 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 5*s + 5*s + 0*s**2 + 7*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + (sqrt(228)\/sqrt(150) - (sqrt(38) - -1*-1*sqrt(38)))\/(-1*sqrt(2)*-2 - (sqrt(32)\/sqrt(2) + sqrt(16) - sqrt(16))\/sqrt(8)))**2.\nAnswer: -6*sqrt(19)\/5 + 244\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2428*r + 34 = -8*d + 2430*r, 0 = 3*d - 8*d + 5*r - 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -395 - -394. Let w = -1703\/665 + -1\/95. Is j <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1168 - -45.\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 31.75354ml?\nAnswer: 0.03175354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s, -1 - 1 = -2*w + s. Suppose w = 17*i - 20*i + 78. Suppose 19*y - i*y = 0. Solve -3*x = -y*x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*w = -4*v + 497, v = -w + 167. Suppose 3*t + 39 = -w. What is the units digit of 180\/t*(-7 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 10. Suppose 3*n + n - 15 = -5*l, -5*l = -4*n - 15. Solve y = -q + 5*j + 5, n = 2*q + 2*q + 5*j + 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cac when three letters picked without replacement from {z: 5, a: 2, f: 3, c: 5}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/1 - 6\/(-3). Suppose 0 = -q + y, k - 2 = q - 3. Let m be ((-54)\/k)\/((-9)\/(-12)). Which is smaller: m or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/4 + 3*s\/4 + 9\/2.\nAnswer: -3*(s - 3)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 - -74.6. Suppose -9 + 3 = -2*j. Which is the third biggest value? (a) j (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.55 + -5.12. What is s rounded to one dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 481 in 0.3, 0, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 21993542*d**2\/3 + 10077427198424*d\/3 - 11756968462526\/3.\nAnswer: 2*(d - 916397)**2*(6*d - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from wnwz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 4, -33, -90, -173, -288, -441?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (7 + 4 + 2 + -8)) + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-990)\/252*(-630)\/100*(-7)\/(-42)*-16.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/24*3*1*6. Suppose o*n - 33 = 4*n + 5*r, 19 = n - 5*r. Solve -4*u = p - n, 3*p + 0*p = -3*u + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18607081673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7387178 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at least as big as 39659\/4592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107524 by 26.\nAnswer: 53762\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*z**3 - 31*z**3 + 95*z**3.\nAnswer: 135*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -454 - -499. Solve -12*c = 3*c - v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/5 + 53866*v\/5.\nAnswer: v*(v + 53866)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4271270050?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2206116631?\nAnswer: 2347, 939973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 3 (c) -4\/5 (d) 51 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -27. What is the third derivative of h**4 - y*h**2 + 8*h**3 - 8*h**3 + 9*h**4 wrt h?\nAnswer: 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38 or -4506?\nAnswer: -4506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*c - 8*c + 5*c**4 + c**2 + 0*c + 23*c to u + a*c**3 + d*c + k*c**4 + i*c**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, y: 4}. What is prob of sequence uyu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - -1. Let i = 710 + -710. Suppose y + i = t. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2321*u. Let t(i) = 55755*i**2 + i. Determine b(t(f)).\nAnswer: 129407355*f**2 + 2321*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -117, -226, -335, -444?\n\"Answer: -109*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide ((-2)\/5)\/((-16)\/(-160)) - -208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/10 - -1\/5. What is the nearest to -0.1 in s, -0.9, -1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454479*h + 709161*h + 1723118*h + 671958*h.\nAnswer: 3558716*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-6) + 18\/(-12). Let o = -0.061 - 57.939. Let x = o - -57. Put x, -4\/5, g in ascending order.\nAnswer: g, x, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 10*z = 470*z + 16, v = 3*z - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**5 - 10*v**4 + 54*v**3 + 212*v**2 + 227*v + 78 = 0.\nAnswer: -13, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 675.4005 weeks in microseconds?\nAnswer: 408482222400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Let i(y) = y**2 - 6*y - 6. Let g be i(6). What is the smallest common multiple of 3 and -24*((-10)\/g - j)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = -2*w. Let s = -1\/128 + 2055\/896. Let h = s + -2. Which is the fourth smallest value? (a) 2\/11 (b) w (c) -4\/3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 768879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaaa when four letters picked without replacement from {i: 5, a: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p + 2. Let s = 31 + -27. Let w be z(s). What are the prime factors of ((-36)\/(-24))\/(1\/w)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**2 + 20067*n + 120556. What is z(-6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 126\/15 - (-4)\/(-10). Suppose 2 = 4*g + 5*s, -4*g + 2 = s - t. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*j**3 + 9*j**3 - 9*j + 35*j**2 + 19*j.\nAnswer: 5*j*(j + 1)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 27. Let p(y) = 535*y**2 + 63*y + 14. Let g(x) = -267*x**2 - 32*x - 6. Let i(z) = o*g(z) + 3*p(z). Find the second derivative of i(q) wrt q.\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 5, 0, -2\/191, -1253, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-3 - -4 - -2). Let m be 6\/(-4) - 21*(-6106)\/32508. Let 8\/3 + m*t - 2\/9*t**f = 0. Calculate t.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/2)\/((-5)\/10). Suppose -4*i + 64 = u*a, -3*i - a - 22 = -64. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 137 = 3*d, -4*l - 3*d - 2*d = -117. Let u be 2\/(-5) + 22\/5. Suppose t + 2 = 0, -u*t + l = 5*y - 3*t. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 4:15 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.1, 0.4, 118, -3\/2, -9\/5?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017 less than 0.1966?\nAnswer: 0.2136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -130 + 133. List the prime factors of 3 + z\/((-18)\/(-930)).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20502 is divided by 2515?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -10, -122, 8 in descending order.\nAnswer: 8, 5, 4, -10, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - (sqrt(171)*-2 + sqrt(171)))*5 - sqrt(171) - 4*-2*sqrt(171))\/(((sqrt(324) + (-1*sqrt(324) - sqrt(324)))\/sqrt(12))\/sqrt(3)))**2.\nAnswer: 5491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10978, -26830, -42682?\n\"Answer: -15852*p + 4874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o - 316 = 4*r, 5 = r. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -241883\/122070 + -49\/1565. Find the common denominator of 131\/12 and p.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2*1\/(-66))\/((-2)\/12) and 73\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -106, -127, -166, -229, -322?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15610.64 litres to millilitres.\nAnswer: 15610640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 2*s**2 + 2*s - 3. Let l be y(-3). Let o = 23\/3 - 791\/102. Let r = o - 13\/238. Is r at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/126176 and 121\/157720.\nAnswer: 630880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 44 = -40 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -200220011?\nAnswer: -200220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18050899?\nAnswer: 53, 340583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -76.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2. Let n(j) = -1510*j + 2. Determine n(w(v)).\nAnswer: -3020*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -13*i**2 - 18*i + 75. Let r(q) = -6*q**2 - 8*q + 37. Determine -9*r(y) + 4*z(y).\nAnswer: 2*y**2 - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -56.93. Let u = 4 - f. Let n = -1.07 + u. Which is smaller: 5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 576830694?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.409955ml?\nAnswer: 0.006409955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 + w**4 + 3*w**3 - 4*w**3 + (-2 + 2 + w)*(-2*w**3 + w**3 - w**3).\nAnswer: -w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71416 = 87*u + 49391 - 20409. Is u at least -1152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4925 - 4910. Solve -5*k - 5*b = 5, k - 4*b + h = -1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 1 - -6 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -2 - 2) + 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 7*b**2 - 2*b + 7. Let q = -492 + 499. Give v(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*g + 2)*(-1 + 1 + 2*g) - 4*g**2 - g**2 + g**2 + 2*g**2 + 12*g**2 - 5*g**2 to v*g + n*g**2 + m and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7812 at least as big as 7812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -678 + 682. What is the thousands digit of p + 30\/(-18)*3 - -1318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -1.6?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 2*b - 20, 5*s + 23 = 2*b - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10923 and 6951.\nAnswer: 76461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1\/11, 0, -0.5, 3.3252?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 456, 1027, 1780, 2805, 4192, 6031, 8412?\n\"Answer: 15*j**3 + j**2 + 463*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.078*-5.\nAnswer: 5.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7847 minus -10?\nAnswer: -7837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 119 - 120. What is the closest to -0.2 in 0, h, -96?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0223 - 13.0223. Let j = 16 + x. Put -0.4, 5, j, -0.3 in descending order.\nAnswer: 5, j, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11289.146 + -11131. Let j = y - 158. What is j rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, 70, 7, -5, 20, -2 in decreasing order.\nAnswer: 70, 20, 7, -2, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13260552013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/763032 and 41\/27.\nAnswer: 6867288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 8*c**2 + 3*c + 51. Calculate m(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 2*q**2 + 2. Let g = -12 + 16. Suppose 7 = -g*a - 1. Let d(o) = -o**3 - o**2 + 1. Determine a*d(k) + s(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10421*o = 8945*o + 73800 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 2*w**3 + 14*w. Let o(a) = -a**2. Give o(i(v)).\nAnswer: -144*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 1. Suppose -20 = q - 4*u, u - 1 = x*q + 4. Solve q = 3*r - 9 - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329564, 329565, 329566?\nAnswer: 329567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onfogjjhhononnjnfnh. Give prob of picking 1 n, 1 g, and 1 o.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8249224 is divided by 515575.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -50, -78, -106?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/14 + ((-4920)\/70)\/(-4). Is k greater than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-149)\/(-4)*-2. Let r be 6 + -1 - (-7 + 8). Suppose -5*i = m - 56, -i + a = r*m + 4*i. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-87)\/(-5) + 48\/80. Let g be ((-58)\/v - -3)\/((-15)\/(-9)). What is the closest to 0.9 in -2\/13, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70283204 or 70283202?\nAnswer: 70283204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64129768 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -1, 23, 59, 113?\n\"Answer: t**3 - 3*t**2 + 20*t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/6482379 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 4*k + 2*u, 0 = -2*k + 4*u + 24. Suppose -2*s + 0*o = o - 25, -55 = -k*s - o. What is the highest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-100 - (2 - 18))*28\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-29)*a)**34*(a**41\/a)\/(((a**30*a)\/a)\/a*a*a) assuming a is positive.\nAnswer: a**(-943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1082 and -300.7.\nAnswer: 32.53574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 3.22, 0.004, 0.5 in increasing order.\nAnswer: 0.004, 0.5, 3, 3.22, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 261301, 1\/5, -4 in descending order.\nAnswer: 261301, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 17*x**2 - 2 - 11*x**2 + 25*x**2. Let a(b) = b**2 + 1. Let k(r) = 8*r**2 - 3*r + 7. Let n(y) = 4*a(y) - k(y). Calculate -3*c(l) + 2*n(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 8*s. Let j be z(0). Solve 0*t - 12 = 2*v + 5*t, -v - 3*t - 8 = j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2305*o - 2 + 2 - 5298*o.\nAnswer: -7603*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 - 0.11. Let m = x + 0.35. Let z = -1.3 + 0.3. Which is the third smallest value? (a) z (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2197 - 2182. Solve 3*r = -2*r + k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -858 + 859. Let h be 533\/(-164) - (-4)\/v. Factor 0*t + 0 - h*t**2 - 3\/4*t**3.\nAnswer: -3*t**2*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24112401 divided by 8037467\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 6 - 5*r - 4*r + 4*r to m*r + t and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = p - 4*k, -5*p - 3*k - k = -49. Let r(g) = g - 6. Let l be r(p). Suppose 0 = -l*u - 2*u + 235. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - g + 1 = -13, 2*z = -3*g + 14. Differentiate -5*d + d + z*d + 11*d**2 - 7 wrt d.\nAnswer: 22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (0 - (8 - 8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*45\/(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -39193*w**3 + 15*w**2 + 14*w + 75. Let i(d) = 5599*d**3 - 2*d**2 - 2*d - 10. Determine 15*i(y) + 2*p(y).\nAnswer: 5599*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - 2*z - 2*z)*(0 - 5 + 3) + (2 - 3 + 0)*(z - 3*z + 0*z) + (-37*z - 64*z + 37*z)*(-7 + 0 + 1) to the form b*z + s and give b.\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24410623 and 867.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 53, 126, 233, 374, 549?\n\"Answer: 17*g**2 + 22*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 690, 912, 1136, 1362, 1590, 1820?\n\"Answer: r**2 + 219*r + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2342 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 9) to base 3\nAnswer: 11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 3*o + o. Let n be 40\/22 + 4\/o. Solve -n*s + 4 = 10 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 729, 1452, 2175, 2898, 3621?\n\"Answer: 723*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/2 + 555*a\/2 - 5481.\nAnswer: 3*(a - 18)*(a + 203)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 160948, 321903, 482858?\n\"Answer: 160955*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 18*j**2 - 4*j + 3. Suppose 3*h = -3*c - c - 5, c - 7 = 0. Let w(q) = -90*q**2 + 21*q - 16. Calculate h*g(z) - 2*w(z).\nAnswer: -18*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-10)*10\/6*-6. Suppose p = 3*w + 5857, 7816 = -6*w + a*w - 2*p. Let l = 2872 + w. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5\/11 + 5*r**4\/11 - 21*r**3\/11 - 47*r**2\/11 + 19*r\/11 + 42\/11 = 0.\nAnswer: -7\/2, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2646845, -5293693, -7940541, -10587389, -13234237, -15881085?\n\"Answer: -2646848*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 5912 - 40*c + 2961 + 2951.\nAnswer: -44*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11594)\/24 - (0 - 11\/33). Let a = -483 - s. Let c = -6.1 - 1.9. What is the third smallest value in a, 1\/3, -4, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108 - -65 - (0 + -4)) + 3 + 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 102*u**2 + 7*u - 11. Let h(b) = -102*b**2 - 5*b + 13. Let p(i) = 5*h(i) + 6*x(i). What is the second derivative of p(d) wrt d?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12343777?\nAnswer: 61, 202357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 352036\/93*((-3)\/(-10))\/(-1). Let f = r - -1141. Find g such that f*g + 6\/5 - 33\/5*g**2 = 0.\nAnswer: -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**4\/24 + 2*b**3\/3 - 253*b**2. What is i(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12143 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 - 15634511*z + 15634511*z. Let h(x) = -4*x - 2. Let u(y) = 21*y + 11. Let r(t) = -11*h(t) - 2*u(t). What is r(o(m))?\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 7:51 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, 1.\nAnswer: 0.2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*h = -38*h - 30. Solve -48 = h*d - 36 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b509 (base 14) to base 10.\nAnswer: 376917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a - t + 591 = 654, 4*a - 3*t - 25 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/20*5*1328.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 33. Let l be x(-18). Let w(c) be the first derivative of c**2\/2 - 8*c + 37. Let h(q) = 7. Calculate l*h(m) - 2*w(m).\nAnswer: -2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2034400 (base 5) to base 6\nAnswer: -420045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52*l*w**3*y**2 - 63*l*w**3 + 12331*w**3*y**2 wrt l?\nAnswer: 52*w**3*y**2 - 63*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3 = -5*q, -q + 3*k - 17 = -2. Let n be (-4)\/(8 + -6)*q*2. Calculate the remainder when 322\/3 - (-11)\/(198\/n) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1090275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 8 + 0)*(5 - 9 + 22*a + 2) to the form m*a + z and give m.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 3337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -509, -1132, -2003?\nAnswer: -3122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/28 and -7\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12\/7, 297, -0.88, 1\/9?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11909 or -11908?\nAnswer: -11909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1*(-1)\/(-51)). Let f(a) = 21*a. Let d be f(-1). Let c = w + d. Calculate the greatest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4472 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2381, -5359, -8337, -11315, -14293, -17271?\nAnswer: -20249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-14 + 18)*(-1 - -7) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4870.265793 to the nearest one hundred.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q**2 - 37*q + 13. Let u(g) = 8*g**2 + 33*g - 13. Let d(y) = 5*u(y) + 4*z(y). Let b be d(-5). Solve -b*n - 8 = -4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -2003?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -4*s + 70, -403*s - 28 = -405*s + 6*l for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 4*j + j)*(3*j**2 + 3*j**2 - 5*j**2) - j + 4*j**3 + j + (2*j**2 - j**2 - 2*j**2)*(1 - 2*j - 1).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -6. Let b(c) = -3*c. List the prime factors of b(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 1, 0.0459, 0.04, -0.2, -1?\nAnswer: 0.0459","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 785341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3519127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9321\/3730 + 2\/1865. Let r be (-2)\/(-3) - 10\/6. Let w = r + 1. What is the second smallest value in -5, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -186\/7?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/129314 or 0?\nAnswer: -1\/129314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/52779674 and 89\/8.\nAnswer: 211118696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 28. Let h(u) be the first derivative of -2 + 0*u**3 + u**2 + o*u**4 + 2\/5*u**5 + 0*u. What is the second derivative of h(g) wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111100222 (base 3) to base 4.\nAnswer: 13023311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 + 145. Let t = 203\/3 - v. Let f = 5.1 - 5. Sort -1, f, t in ascending order.\nAnswer: -1, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/19520 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z - 32. Let p(r) = r - 10. Let w(g) = 16*p(g) - 5*q(g). Let b(i) = -9*i - 1. Suppose -7 - 13 = -4*j. Determine j*w(d) - 2*b(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y. Let f(v) = 3*v. Let i(w) = 2*a(w) + 5*f(w). Let b(g) = 94*g. What is b(i(c))?\nAnswer: 94*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 13*q**6\/5 - q**5\/10 - 17*q**3\/2 - 3081*q**2\/2 - 177*q - 15. Differentiate o(s) wrt s.\nAnswer: 312*s**3 - 6*s**2 - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 188669.3311 to the nearest ten.\nAnswer: 188670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1427912?\nAnswer: -1\/1427912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(54\/28 - 2). Let a = 20 + k. What is the smallest common multiple of a and (-15)\/(-2)*4\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -0.189 in descending order.\nAnswer: 3, -0.189, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3\/(-6)*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 6133.\nAnswer: 2453.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 13320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)*i)\/(((i\/i**(1\/3))\/i*i)\/i) assuming i is positive.\nAnswer: i**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = 29*p - 36 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let x(o) be the second derivative of -o**4\/12 - 17*o**3\/6 + 9*o**2 + 6*o. Let c be x(-18). Suppose 0 = -j + 3, 0 = -a - c*a + j - 7. Give l(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -20*y**2 - 10. Let o be (-1 + -61)*(-1)\/2. Let i = o + -43. Let h(q) = -8*q**2 - 4. Let z(g) = i*h(g) + 5*l(g). What is the derivative of z(a) wrt a?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -251\/2*h**2 + 171 + 0*h - 53\/3*h**3. What is the second derivative of s(o) wrt o?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93220.33 litres to millilitres.\nAnswer: 93220330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (22\/33 + 8\/(-12))\/(-2). Solve n + n + 4 = h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m**2 - m**2 - 53*m**2.\nAnswer: -73*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:40 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 - 3*y + 3*y)*(-218 - 121 + 74 - 34).\nAnswer: 299*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 k, and 1 e when three letters picked without replacement from kzaec?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7185 - 15299 = -15*h - 7454 for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2 + 393228*f + 786472 = 0. What is f?\nAnswer: -2, 98309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - -12. Let i = 26.24 - o. Let m = 2.76 + i. What is the second smallest value in -3\/5, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*y**3 - y + 3 + 50*y**3 + 56*y**3 to the form f*y + u*y**3 + d + i*y**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1197)\/1881 + 72\/44)*-31*(0 - -1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -615439\/84 - -7326. Let u = m + 4\/7. Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -13\/12*i**4 - 13\/6*i**3 + i + 32 + 1\/20*i**5 - 5*i**2. Give k(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6065582, 6065610, 6065640, 6065672, 6065706, 6065742, 6065780?\nAnswer: 6065820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/5722216 and 57\/50.\nAnswer: 143055400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**2*q - 6*b*q*u - 9*b*u - 3*q*u - 5*q + u wrt b?\nAnswer: 4*b*q - 6*q*u - 9*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 0*h**3 - 3\/2*h**4 - 6 + 4*h**2 + 0*h. What is the second derivative of x(l) wrt l?\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/65, -57, -4, 0.1 in increasing order.\nAnswer: -57, -4, 2\/65, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 minus -8212.3?\nAnswer: 8667.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 18876.\nAnswer: -1\/6292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, -1\/4, 1, -2\/19 in decreasing order.\nAnswer: 1, -2\/19, -1\/4, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -5*k + 22, h + 4 + 7 = 3*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4469869?\nAnswer: 4469869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**3*a**(7\/6)\/a assuming a is positive.\nAnswer: a**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658471636?\nAnswer: 2, 67, 1453, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*h + w = -328*h + 23, 0 = -6*h - 3*w + 60 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -425550 (base 8) in base 6?\nAnswer: -3014132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*s**5\/7 + 13988*s**4\/7 + 370868*s**3\/7 - 437756*s**2 - 204848*s = 0. What is s?\nAnswer: -31, -4\/9, 0, 7, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150108 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-29 - 2148\/(-72))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12512, 12515, 12520, 12527?\n\"Answer: x**2 + 12511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 8*n**2 - 12*n + 4. Let y be w(-6). Suppose -90 = -2*l + f, -y*f + 78 = 2*l - 12. What is the remainder when l is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2543676383440 and 2.\nAnswer: -2543676383438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, b: 8, l: 1}. Give prob of picking 3 e and 1 b.\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 54?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-2 + -3))*1. Let p(f) = 2*f**2 - f + 3. What is the units digit of p(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**3\/2 + 5*y. Suppose 2*l = 5 + 13. Let k(m) = -l*m**2 + 11*m**2 - 3*m**2. What is i(k(b))?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 24. Let c(l) = 3*l + 7. Let x be (28\/6)\/(14\/21). Let i(p) = -2*p - 5. Let j(f) = x*i(f) + 5*c(f). Calculate j(u(s)).\nAnswer: s - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 201544 - 66824 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-14)*21280\/(-760).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5253774907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -499*h**2 + h + 10. Let r(t) = t - 40. Determine x(r(i)).\nAnswer: -499*i**2 + 39921*i - 798430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 518 + -480. Calculate the greatest common factor of 589 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -135151*21\/87552. Let q = 3\/9728 + t. Let h = q - -115\/6. What is the common denominator of -59\/10 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -o + 11, z + 3*o - 3 = -z. What is the third derivative of -2*p**5 + 5*p**3 - 5*p**z + p**2 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3046?\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 10*j - 8. Let w be p(6). List the prime factors of -302*((-33)\/30 + (-12)\/w).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12623439*c*f*z**2 - 1219*c*z**2 - 308*z wrt f?\nAnswer: 12623439*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is a94 (base 14) in base 3?\nAnswer: 2212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 675457675\/64 + -10554287. Let r = 1043\/4 + c. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19986782 to the nearest integer?\nAnswer: 4471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2241115?\nAnswer: 5, 59, 71, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 211 and 837.\nAnswer: 176607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (13 + -14)*((-7 - -18) + -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 1105.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, d: 2, k: 9}. Give prob of picking 1 k and 1 g.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-681)\/((-1)\/(312\/522)). Let r = -407 + f. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -76618?\nAnswer: -76613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k. Let l(a) = 42*a - 50. Let f(u) = l(u) - 2*q(u). Let y(n) = 9*n - 10. Let t(r) = 3*f(r) - 14*y(r). Differentiate t(s) with respect to s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 11 = -1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 91\/4*y**2 - 47\/2*y**3 + 93\/2*y - 1\/4*y**4.\nAnswer: -y*(y - 1)*(y + 2)*(y + 93)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 573 and 16999.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195404369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 116, -2, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -629663?\nAnswer: -629663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 0, -5\/4, -11\/4, -1\/4, 2\/7, 4\/3235?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2461, -4904, -7333, -9748, -12149?\nAnswer: -14536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 66253730404*z**2 + 12355104*z + 576 = 0.\nAnswer: -12\/128699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19648.489 rounded to the nearest 100?\nAnswer: 19600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1138*j - 53*j + 12*j)*(4 - 2 - 1) to the form h + c*j and give c.\nAnswer: -1179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 3)*(-62*q + 3 + 5*q - 3)*(22*q + 2 - 7*q - 3*q).\nAnswer: -2052*q**2 - 342*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -5. Let t be f\/(-2)*0\/3. Suppose 0*o + 4*o - 260 = t. Calculate the highest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * 2088499.\nAnswer: -64743469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8442 is divided by 530.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**3 + 22*r - 37 - 24*r + 15*r. Let m(z) = -z**3 - 3*z + 9. Let f(w) = 9*m(w) + 2*v(w). Is f(0) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**4 - 11818*s**2 + 0*s - 6 + 3 + 2*s**3 + 4*s + 11867*s**2 + 1 as h*s + y*s**4 + u + n*s**2 + q*s**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, t: 1, d: 6, b: 1, y: 1, m: 3}. What is prob of sequence tdym?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(-2 + 1 + 0) + 5 - 6 + 3 + 0 + 0 - 1 - 3 + 2 + 0 - 1 + 3 + 0)*(4323*o**3 - 449*o**3 - 24*o**3).\nAnswer: 11550*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 195 = -5*v, 5*v - 160 + 10 = -4*y. Let b = -169 - -176. Let a = b + v. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**2 - 1\/2*m**4 - 4*m - 15 + 4\/3*m**3. Determine h, given that z(h) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*b + 1286*b**2 - 4028*b**2 + 178*b - 2198*b**2.\nAnswer: -4940*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1982 is divided by (-2 - (-1120)\/63) + (-4)\/(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -826 (c) -2\/15 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = 5*x - 602. Let r = x - 38. Calculate the remainder when r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 20 = 10*a - 14*a, 5*a - 10 = 0. Solve 0 = k*w + 3*n + 24, 0 = 3*n + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*t + 7*t - 1407. Suppose -331 = -8*u - t. What is the lowest common multiple of u and 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491\/19 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 408 = 104*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + -1 - (-22 + 22)) + (20 - (2 + 10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4596616 and 12238?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -4 + -3 - (0 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1867.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.857 < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2 - 13589839*w = 0. Calculate w.\nAnswer: -13589839, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -25*g + 1. Let u be k(1). Let p = u + 30. Suppose -5*r - 4*a = -230, p*a - 5*a + 5 = 0. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 117493809.\nAnswer: 117493809.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (60\/(-75))\/(2\/(-130)). Let z be 2\/(-7) + l\/(-14). Let c(v) = v**3 + 8*v**2 - 3*v - 5. Does 14 divide c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5289, 21116, 47491, 84414, 131885, 189904, 258471?\nAnswer: 337586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 - 265*f + 1685. Let t(o) = 2*o**2 - 133*o + 842. Let y(x) = -3*l(x) + 5*t(x). Find w, given that y(w) = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*l - 41 = -3*c - 62*l, 4*l = 5*c - 39 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 17*l**2 - 845*l - 186. Determine u(50).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**4\/12 + 2*k**2 - 13. Let w(z) be the second derivative of m(z). Let j(a) = a**2 - 3*a**2 + a**2. Determine j(w(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 20, -5, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28581000 rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**4\/24 + v**3\/6 - 102*v**2. Let y(d) = -d**2 + 7*d + 3. Calculate 5*g(f) - y(f).\nAnswer: f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 5*u - 15. Calculate the remainder when 81 is divided by g(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 44 = -3*t + 42, 0 = 4*x + 4*t - 8. Let s be ((-2)\/3)\/((-1)\/9). Differentiate s - 15*w + 11*w**2 + 15*w + 11*w**x wrt w.\nAnswer: 44*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -15*o**5 + 253495*o**4 + 591600*o**3 - 507060*o**2 = 0.\nAnswer: -3, 0, 2\/3, 16902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((798\/(-28))\/(-19))\/((-3)\/(-8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41.2 + 41. Let q = 18.8 - 18.7. Which is the third smallest value? (a) y (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 113.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 3 = -8*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3359\/14 + 240. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -892 and -0.93.\nAnswer: 829.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 9. Suppose 57 = -j + r*j. Let v = 17 + 2. Calculate the highest common factor of v and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**4\/8 + 7*v**3\/6 + 2*v**2. What is the derivative of u(i) wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -11641?\nAnswer: 11640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/75 - ((-13)\/39)\/((-5)\/(-30))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {x: 6, u: 11, j: 2}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 148 + -120. Let l = q + 8. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/222570 and 29\/18?\nAnswer: 222570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -264 - 2?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 15, -6*u + 78 = -3*u + z. Let c = u - 24. Suppose 2*d - 8 + c = h, 5*h - 4*d - 5 = 0. Solve 11 = -4*j - h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -1\/120*o**6 - 4*o**2 + 0 + 1\/12*o**4 + 0*o + 0*o**5 + 0*o**3. What is the second derivative of b(a) wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 785, 778, 767, 752?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 159*z**2 - z. Let o be v(-1). Suppose -42*g = -2697 + 5 + 4. Calculate the greatest common divisor of g and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16007 - -4972. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4891850681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000100011000110 - -100?\nAnswer: 1000000100011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**2 - 4*l - 5. Let h be n(-4). Let w be ((-2)\/4)\/(2\/(-52)). Calculate the greatest common divisor of h and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*t - 450 = 0. What is the remainder when t is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -21*z + 2. Let y(g) = -2185*g + 209. Let x(w) = 209*b(w) - 2*y(w). Let n(h) be the first derivative of 5*h**2\/2 + 217. What is n(x(v))?\nAnswer: -95*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**2. Let q(v) = -5*v**2. Give -3*b(y) + 2*q(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u = 87. Let s = u - 27. Suppose 4*b + 20 = -4*v, 4*v + s = 5*b - 0. Let z(h) = -h**3 + 2*h - 1. Calculate z(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1320 + 1338. Solve -p = -39*l - 252 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03736 - 0.46264. What is the nearest to -1\/3 in m, -0.3, 2, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/2 + 111*q\/2 - 103571 = 0.\nAnswer: -514, 403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -1569, 62\/5?\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from {d: 2, h: 2, a: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*h + 7*h - 1 + 1.\nAnswer: -104*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**6\/120 - 2*m**5\/15 + 3*m**4\/8 - m**3\/2 - 11*m**2. What is the remainder when 25 is divided by h(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 63*a**2 - 346*a - 59. Let f be h(-57). Calculate the highest common factor of 1261 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 16 + -68 + 40?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 826971968.\nAnswer: 826971965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 - 6*f**2 + 12*f + 18. Let h be b(-4). Solve h*r = 2*q - 3*r - 29, 0 = -2*q - 3*r - 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 8:43 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17758?\nAnswer: 2, 13, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 56*f + 30. Let q(m) = -81*m - 45. What is -7*c(j) - 5*q(j)?\nAnswer: 13*j + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100100101010110111 + 0?\nAnswer: -110100100101010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 141 - -254. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -1.5. Let y = 3 - q. Let s be (-2)\/(-5) - (-32)\/(-30). Which is the third biggest value? (a) s (b) y (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 take away -4535500534?\nAnswer: 4535500535.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 855.8356l to millilitres.\nAnswer: 855835.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/90)\/(72\/108).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 7, -11, -29?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 94\/(-190) + (-25)\/(625\/(-15)). Which is the closest to 3? (a) 3 (b) -0.03 (c) k (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 333 and 666?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmceehah. Give prob of picking 1 a and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -73, -88, -115, -160, -229, -328, -463, -640?\n\"Answer: -x**3 - 8*x - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) 0.4 (c) -5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1860 - 948. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 540199 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000215971335 rounded to seven dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 213279 divided by -1?\nAnswer: -213279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 31*v**2 + 98*v - 16. What is b(11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307162, 307183, 307204?\nAnswer: 307225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -3\/404, 1\/2, 1, -1.7?\nAnswer: -3\/404","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 11 = 15*c - 13*c, 5*i + c = -100. Is 0 - 1 - (i + -1451) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/3 in 2\/23, 7, -2.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5544666 to the nearest integer?\nAnswer: 2355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = 0. Let q = s - -2. Suppose -3*j = -8*j - q*r + 334, 0 = 4*j - 2*r - 278. Calculate the remainder when j is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, 0.2, 1972 in decreasing order.\nAnswer: 1972, 0.2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -255*b**4\/2 + 253*b**2\/2 - 2*b - 797. Find the second derivative of j(l) wrt l.\nAnswer: -3060*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11952, 11955, 11968, 11997, 12048, 12127, 12240, 12393?\n\"Answer: k**3 - k**2 - k + 11953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**2. Let x(f) = 2453158*f**2. Calculate x(k(y)).\nAnswer: 120204742*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - 9*b**3 + 0*b**3 + 14*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 21*k. Let h = -6 + 8. Let n be y(h). Let l = n + -29. What is the remainder when 38 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**5 + 4*f**4 + 1550*f**3 - 2*f**2 + 330*f + 35.\nAnswer: 60*f**2 + 96*f + 9300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 750 + 795 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101395?\nAnswer: 5, 7, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4534 + -5173?\nAnswer: -11727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 4:58 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + -0.2. Let w = -48\/11 + 181\/44. What is the closest to w in j, 1\/3, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -6. Let p = 1 + s. Let g = -2644\/9303 - 2\/1329. Are g and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmymmxmxmym?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)\/k*k\/k**(-4\/7))**46\/((k**4*k)\/(k**(-3\/2)\/k)*(k*k**(-2\/13))\/k*k\/k**4*k) assuming k is positive.\nAnswer: k**(51043\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*m + m - 15158, -2*m = -2*f - 15148. List the prime factors of (35\/175 - f\/(-30))*-3.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 38, 39, 40?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25300 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5*g - 23, 2*x - 76 - 26 = 4*g. Let o = 19 + -4. What is the remainder when x is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001167765343 to 6 dps.\nAnswer: 0.001168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12902843*b*t - 120494305*b + 8*t**2 wrt t.\nAnswer: -12902843*b + 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5887\/(-2) + 0)*(-13)\/((-182)\/(-16)). Calculate the greatest common divisor of d and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.93 - 0.07. Is g equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3090698.\nAnswer: 2, 13, 118873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 88 - 28. Let l be (-2)\/5 + 58\/(-5). Let z = l + r. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 500, 21, 0.3 in descending order.\nAnswer: 500, 21, 5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 3\/2*p**4 + 1\/2*p**3 - p + 3\/2*p**2 + 1\/2*p**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 29739.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 547 times -9905\nAnswer: -5418035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 8 = 0, -4*a - 10 = -3*a + 5*x. Suppose 0 = -5*v + 19 - 4. Let j = -1 + v. What is the least common multiple of a and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1504717 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 87614591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + z + 6. Let n be z\/(-9) - 28\/(-6). Let m(r) = 4*r + 6. Calculate the remainder when m(n) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189924*s**3 + 94897*s**3 + 95000*s**3.\nAnswer: -27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h. Let a(t) = -4*t - 8918. What is a(r(d))?\nAnswer: -20*d - 8918","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/6)\/((-6)\/(-8)). Suppose 0 = 4*t - l - 4*l + 6, 4*t = -l + 6. Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(-j - j + 0*j) - j + 0 + 0 + 25*j - 8*j - 13*j to the form q*j + g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 4*x**2 - 3*x - 7. Let f(m) = 2*m**2 + 3*m + 3. Let n be f(-2). Let t be o(n). Solve -t*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.84288757 to two dps.\nAnswer: -5.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10164?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 976 and 1220.\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 48812828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 2:26 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*a = -100. Suppose -2*n + 3 + 31 = 0. Let m = n + 0. Calculate the remainder when a is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 349 + -504. Suppose -2*o - 1 = 5, 0 = -4*s - 5*o - 355. Let d = s - c. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 12419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7 + 5 + -7 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 20\/11, 0 in ascending order.\nAnswer: -3, 0, 1, 20\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 43. Suppose 3*c + 2*c = u - 52, 5*c = -u + 32. What is the remainder when u is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3 + 7643*h**2 + 439402*h - 4004880 = 0.\nAnswer: -7585, -66, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 353*i - 4237. What is j(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -324\/1085 - -2\/155. Let g = 246 - 246. Which is smaller: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 12. Let c(m) = -385*m - 1320. Calculate -110*a(s) - c(s).\nAnswer: 275*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1177518861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11383538 to the power of 1\/2, to the nearest integer?\nAnswer: 3374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2689588856*b**2 + 2689588856*b**2 + 123*b**3.\nAnswer: 123*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-4)*(-58)\/(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51*h - 51*h + 21*h**2 + (h + 1 - 1)*(2*h - h + 0*h) + 0*h + 0*h + h**2 + h + 5*h**2 - h + h**2 + 1 - 1.\nAnswer: 29*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 + 2*i + 4*i - i**2)*(0*i - i + 0*i) to m + k*i**2 + d*i + z*i**3 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + v**2 - 3*v + 3. Let s be b(-3). Let w(f) = f**3 + 8*f**2 + 5*f - 7. Does 20 divide w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1452 and 7373388.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 - 226646635?\nAnswer: -226646653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 14876*y - 8. Suppose 6*x = x + 40. Let a be r(x). Round a to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (261\/(-9) - (-141752)\/4872)*(-1)\/4?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/649, 156 in descending order.\nAnswer: 156, -3\/649, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -291 + 4?\nAnswer: -28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(78) - -3*(sqrt(78) + -4*sqrt(78)))\/(sqrt(54)*4 + sqrt(54)).\nAnswer: -8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 1\/10, -6.3, 4 in increasing order.\nAnswer: -6.3, 1\/10, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 5 - (-9 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 + 6 - 12*v**2 - 23 + (0*v + 0*v + 2*v)*(128 - 128 - 5*v).\nAnswer: -22*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -12 + 6 + (-2 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48444, 48437, 48428, 48423, 48428, 48449, 48492?\nAnswer: 48563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:43 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 119\/15405 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 142*k + 3651 - 1237 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198 (base 13) to base 6.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000063859969 rounded to 6 dps?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -50859 divided by -16953\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**6\/480 + b**5\/60 - 29*b**2. Solve q(h) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4114 rounded to the nearest one hundred?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4646, -9267, -13902, -18557, -23238, -27951?\n\"Answer: -d**3 - d**2 - 4611*d - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -37. Suppose j*h = -3*y + 29, -2*y + 3*h - 3 = 6. Let r be (2 - 1)\/(1\/y). Solve -r*n - 2*v = 0, -2*v = -3*n - 3*v - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 7:48 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -70\/3. Let l = -1.689 + 1.889. Suppose 0 = 4*v - d - 8, -4*v + d + 16 = 2*d. Which is the closest to l? (a) k (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d - 17638 = -5486. Suppose d = -205*p + 212*p. What is the greatest common divisor of p and 896?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 22144981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 5:58 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*m**3*p*w + 134*m**3*w - 479*m**2*p*w - 2*m*p*w - 2*m*w - 4*w wrt p?\nAnswer: -3*m**3*w - 479*m**2*w - 2*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 198 = f. Let g be ((-22)\/(-4))\/(2\/44). What is the highest common factor of g and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-29 - (17 + -27)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(72) + -1 + sqrt(72) + 5 - (3 + ((sqrt(72) + sqrt(72)*-1)*-6 + sqrt(72) + sqrt(72) - sqrt(72))))*-6)**2 + -4)*-3.\nAnswer: -7872 - 1296*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -224*((-300)\/3)\/4. Suppose -4*x + l = -4232. Suppose 6*w - w - 4*y = -x, -4*w = y + 1958. What is w rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 500*i + 1 - 503*i - 3. Calculate the smallest common multiple of 26 and d(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/20 + 563\/5. Let a = 563\/5 - w. What is the biggest value in -3\/7, a, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-10)\/(-8)*(-60)\/150.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-193 + 193 + 14*v**3)*(-1 + 2 + 1 - 2 + 0 + 0 + (3 - 1 + 0)*(0 + 1 - 3)).\nAnswer: -56*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 11\/((3 - 110\/35)*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91599231 divided by -3.\nAnswer: -30533077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**2. Let j(x) be the second derivative of 5*x**3\/6 - 3*x + 1. Give j(l(c)).\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 13. Suppose 5*y - 3*h = 63, 4*y + o*h - 45 = 2*h. Let p = y - 10. Solve -2*f + 3*f - 3 = -5*d, p*d - 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f - 26. Give q(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-12)*(-2)\/2*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - ((-697)\/(-41) + -23)) + -1*(-51)\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 7:08 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -37*u**3 - 3*u**2 - 2*u + 2. Let n be r(-2). Suppose -4*z - n = 298. Let w = 232 + z. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24, -39, -66, -105, -156, -219?\n\"Answer: -6*l**2 + 3*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/11 + 8899\/121. Which is smaller: r or 75?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 19*u + 6. Let t be n(-16). Let c = -47 - t. Are -11 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.29 + 10.71. Let x = 10.9 - g. Let k = 0 + 1. Which is the nearest to k? (a) -2\/15 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075301711?\nAnswer: 11, 41, 216751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l - 3*l + 8*l)*(2*l + 0*l - l)*(1 - 3 + 0) in the form t*l**2 + r*l + f and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 996 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*2*-2 + sqrt(432) + (1 + sqrt(192) - -3*sqrt(9)\/sqrt(3)))*2)**2*-2.\nAnswer: -8672 - 304*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v - 2*v + 0*v + (2*v + 0*v + 0*v)*(1 + 4 - 3 + (-2 + 8 + 1)*(1 - 1 + 1)).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 3) to base 15.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66\/76421065 - 477369689284\/55710956385. Let c = y - 2\/729. Which is smaller: c or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.068 (b) -3\/7 (c) 0.1 (d) -0.01 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -340*i + 313*i - 270 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1012460?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r - 206231 = -528266 - 205577. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1331 (base 8) to base 13.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 50*x + 48*x - 99*x. Let s(u) = -2*u + 3*u + 3*u + 35*u. Determine s(b(f)).\nAnswer: -39*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 214\/629, -3, -4 in decreasing order.\nAnswer: 214\/629, 0.3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 96*q**2 + 249*q - 440. Is l(-81) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-3*n + 3*n + n**3) + n**3 + 2*n**3 + 2*n**3 + (-5 + 4 + 23)*(4*n**3 + 0*n**3 - n**3).\nAnswer: 70*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, q: 12, g: 3}. What is prob of sequence zqzq?\nAnswer: 11\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 439*r**3 - 6*r**2 - 6*r + 2. Let b(k) = -444*k**3 + 7*k**2 + 7*k - 4. What is -6*b(z) - 7*f(z)?\nAnswer: -409*z**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162 divided by 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -37039*w. Let k(f) = -2*f**2. Determine k(r(h)).\nAnswer: -2743775042*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409*l = -3 + 2048. Sort 11, 9, l, 7 in descending order.\nAnswer: 11, 9, 7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1326314 and 4581812.\nAnswer: 50399932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45777529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/7 and -161\/16410.\nAnswer: 114870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 164 = 5*g, 1 + 3 = 4*t. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -22, 0.08?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 6245*u + 283051. What is l(-45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.6 + -8. Let k = t + 3.4. Let g = 16 + -14. Which is the third biggest value? (a) g (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.9 + -0.1. Let q = 10.2 + t. What is the third biggest value in q, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3294*d - 23122. Determine o(-7).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23615199 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i. Let p be 2*(-1)\/4*-4. Let a = 553 + -542. Let l(u) = p*u - a*u + u. Calculate f(l(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*x + 240 = -130 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -32*s + 157389 + 125049. List the prime factors of s.\nAnswer: 3, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/2*(-28)\/6*-36 is divided by 11 - 12\/4 - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4597\/22935 + 2\/4587. What is the nearest to 18.6 in o, 20, -2\/3?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + x - 3 + (1 + 3 - 2)*(0 - 4 + 2)*(3*x + 2*x + 3*x).\nAnswer: -31*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 plus -12284?\nAnswer: -12338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*y + 5932 + 8169, 0 = -4*o + y + 18784. Calculate the greatest common factor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 252 = 11*x - 13*x, 2*b = x + 168. Calculate the smallest common multiple of 234 and b.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (56\/224*12\/27)\/(40\/108)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83162611 * 8.\nAnswer: 665300888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 65 = 5*z, 7*s - 12 = 3*s - 4*z. Suppose 4*c = -2*g - 4, 0 = 2*g - s*c + 3*c - 32. Solve -g*h - 17 = 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12137871.\nAnswer: 3, 349, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 6, w: 1, h: 1, j: 1, b: 9}. Give prob of picking 1 d and 1 b.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 780 and 22.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6968, -1\/6, 0.3, 17, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24142, 48417, 72874, 97573, 122574, 147937, 173722, 199989?\nAnswer: 226798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*h + 204 = -71*h. Calculate the greatest common divisor of 34 and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 5*l - 2. Let t be i(-4). Suppose -3 = -t*j - j. Solve 3*x - j = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-60)\/35)\/((-1)\/7). What is the highest common divisor of 132 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 15*b + 0*b**2 + 0 - b**2 + 4 - 3. What is the units digit of c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7232 is divided by 278?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 0.64, -2\/11, 1, -0.3, 1.16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -83*y**3 + y**2 + 2*y + 35. Let s(x) = 42*x**3 - x**2 - x - 18. Let r(v) = 3*f(v) + 5*s(v). Let q be r(-5). Let d = q + -3354. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*u - 61 = 4*i, 5*i = 58*u - 54*u - 24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3280, -6573, -9882, -13213, -16572, -19965?\n\"Answer: -z**3 - 2*z**2 - 3280*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -241*y**4 + 241*y**4 + 63*y**5 + 2*y**5 + 0*y**2 + 0*y**2 - 3*y**4 + 2*y**5 + 3*y**4 - y**5 + 2*y - 2*y + (1 - 2*y - 1)*(0*y**4 - 2*y**4 + y**4).\nAnswer: 68*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 11 = -4*j + 3, j - 4 = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 221562284*h + 122106393 wrt h.\nAnswer: 221562284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 884903*-0.3\nAnswer: -265470.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28968918?\nAnswer: 2, 3, 11, 17, 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 5*w - 3. Let b = 5 + -10. Let g be c(b). Calculate the highest common divisor of 242 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a48 (base 13) in base 12?\nAnswer: 6122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from nebgrrcnecnn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 566837205?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(160\/24))\/9\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 16*z - 33. Let r be a(10). Let x = 114 + r. Calculate the remainder when x is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 30 - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 44 = 4*l, 4*l - 13 + 37 = -t. Let f be (t\/(-16))\/(2\/8). Suppose -204 = -f*u - u. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.80983288 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 584, 0.3, 0, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 997391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 4*s + 17. Suppose -3*w - 18 = 3*y, -4*w = 5*y - 5*w + 30. Let a be q(y). Suppose 10 = -a*m + 155. Does 29 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/25*2)\/(2088\/360)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 6*p**2 + 2*p - 8. Let b be r(6). Suppose 2*t - b = t. Suppose 8 + 739 = t*u - a, -u + 5*a + 182 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 33*d**2 + 9*d + 1. Let f(z) = 65*z**2 + 17*z + 2. Let b(h) = -3*f(h) + 7*p(h). Let b(s) = 0. What is s?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/5 in -1.252, 0.5, 1, 76?\nAnswer: -1.252","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-8\/9))\/n*n)\/n)\/n**(2\/3) assuming n is positive.\nAnswer: n**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*v - 16. Suppose 2*m - v*a = -48, 5*a - 12 = a. Let y = m + 38. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (11 + (-19 - -4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -450\/13 > -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -3)*((-4)\/2 + 0). Suppose -7*y = q - c*y - 1616, -4*q = -3*y - 6509. List the prime factors of q.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2 and 37\/17943448.\nAnswer: 17943448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7889 = 5*y + 2*l, -y + 34*l + 1567 = 38*l. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 2, h: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.393 times 10\nAnswer: 23.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -32. Let k = 4 - 3. Which is the biggest value? (a) k (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2732.779 grams in tonnes?\nAnswer: 0.002732779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4623570, 9247143, 13870716, 18494289, 23117862?\nAnswer: 27741435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k. Let g(z) = -15*z. Let h(o) = 3*g(o) - 5*p(o). Let r(j) be the first derivative of j**2\/2 + 1. Determine r(h(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, -1\/3, -0.2, 59, -0.033, 125?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.65\nAnswer: 1.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q - q)*(3 - 2 + 0)*(24997*q**2 - 50003*q**2 + 25006*q**2 - 2981*q**3).\nAnswer: -2981*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b*b\/(b*b\/b**(-2\/7)))\/b)\/b*b))**(-3\/26)*b**(-4)*b*b\/b**(-1\/7)*b assuming b is positive.\nAnswer: b**(-102\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.21 and 121.348.\nAnswer: 25.48308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l - 16*l + 5*l + 52*l**2 + 834*l**2.\nAnswer: 886*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0.23839261906?\nAnswer: 0.23839261906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(1\/2 + 0). Let a = 12 - o. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109*c**2 + 17 - 36 + 19 to the form a*c + r*c**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55\/112 - 1\/16. Let m = 0.01 + -4.01. Let c = -2 + 4. What is the closest to 2\/7 in m, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 186 + -190. Let d = 1\/35 - 3\/7. Which is the nearest to -1? (a) q (b) 9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 407759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/((-306)\/20)*6\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114499319.5 rounded to the nearest one million?\nAnswer: -114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0*s*s*s**(-13)*(s*s*s**5*s)**(2\/147) assuming s is positive.\nAnswer: s**(-1601\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, f: 1, o: 3, h: 4, p: 1}. Give prob of picking 2 o and 1 p.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 58\/(-1))\/(-168 + 167). Let f = 786 + n. What are the prime factors of f?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 24 = 2*s, 5*s + 0*s - 66 = -4*y. Suppose 4*q = -i + 203, -s*q + 3*i = -5*q - 275. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -y + 5*z - 8, 0 = -3*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2555, 2548, 2541, 2534?\n\"Answer: -7*j + 2562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*o + 50 = -91*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from wywuzwwyyuzwzyy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9)\/((-27)\/112)*(1 - -2) is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 114. Suppose 2*z = q + 58. What is the highest common factor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v - v**2 + 3*v)*(49*v + 932*v + 574*v - 229*v) to the form f*v**2 + b*v + r*v**3 + i and give r.\nAnswer: -1326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113512, 115221, 116930, 118639, 120348?\nAnswer: 122057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02928*19.\nAnswer: 0.55632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -43685, -1, 0.04 in descending order.\nAnswer: 0.04, -1, -43685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 8. Suppose 6*l + 3*i - 17 = l, -4*l - 3*i + 13 = 0. Let f be q(l). Let v = f + 3. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-6)\/(-8))*-4. What is the third smallest value in 0.1, 5, 0, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**10\/1680 + p**6\/180 - p**3 + 2. Let n(d) be the third derivative of j(d). Find the third derivative of n(v) wrt v.\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 7*z - 5. Let w be y(10). Let p = w + -20. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - k**2 + k - 3. Determine z(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -4, 12951 in increasing order.\nAnswer: -4, -1, 0, 12951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 - -121. Solve -5*c = p + 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**4\/12 + f**3\/6 - 5*f**2. Let j be h(-2). Let g be 0 + (j - (-2)\/2). Solve g*c = c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 2*x - 1. Let z be q(-1). Let a be 6*(z + 0 + -2). Let m = a - 5. Calculate the remainder when 2 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + 8.05. Let n = o - 13. Which is the nearest to 0.1? (a) 2 (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000203 to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**2 - 76815*u + 4168307 wrt u?\nAnswer: 2*u - 76815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -57, -106, -155, -204, -253?\n\"Answer: -49*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j - j + j)*(3*j - j - j) - 31*j**2 + 0*j**2 - 8*j**2 + (2 + 4 + 1)*(-2*j**2 + 2*j**2 + 2*j**2) in the form d*j + f + h*j**2 and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.82554t to grams.\nAnswer: 79825540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28758, 114665, 257856, 458337, 716114, 1031193?\n\"Answer: t**3 + 28636*t**2 - 8*t + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27792*r + 28 = -27788*r - 2*g, -4*g - 26 = -2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 77, -0.2, -14, 293.82?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/1)\/(-2)*-5. Let z = k - -20. Put 1, -1, z in descending order.\nAnswer: 1, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -662799 >= -662798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 25 = -4*o. Suppose 2*s - o*f = f + 1260, f + 1903 = 3*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8869*x**2 + 17697*x**2 - 8828*x**2 - 5*x + 24*x**3.\nAnswer: 24*x**3 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Let c(v) = 2 + 0*v**o + 0 + 7*v - v**2. Let u be c(7). Put u, -4, -3 in decreasing order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*y + 159 + 528, 678 = 5*g + y. Let s = 140 - g. Let v(q) = 6*q + 5*q**2 + 0*q**3 - 2 - 6*q - q**3. Determine v(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 577659.6 seconds?\nAnswer: 160.461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -8*l + 255. Give c(31).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -187, -459, -817, -1261?\n\"Answer: -43*h**2 - 143*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/146 (b) 4 (c) 30\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 188440079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.6039 - 1197.3961. Which is the nearest to -1\/4? (a) -2 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -9 + -1 + 1 + 9 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31384, -62907, -94572, -126379, -158328, -190419?\nAnswer: -222652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 478128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13145708 to the nearest integer?\nAnswer: 3626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7799503 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6704203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 204\/252 + (1 - (-30)\/(-18)) - 808\/(-28)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/30, 26, -1\/4 in descending order.\nAnswer: 26, 1\/30, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -10*u - 1. Let a = -5 - -4. Let t be q(a). Suppose 5*z + 56 = t*z. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**6\/840 - q**5\/140 + q**4\/56 - 89*q**3\/6 - 115*q**2. Let v(r) be the first derivative of c(r). Factor v(t).\nAnswer: 3*(t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 272583, 272586, 272591, 272598?\n\"Answer: t**2 + 272582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 15 = -3*n, 4*r - n - 19 = 0. Suppose r*u + 64 = 104. Calculate the greatest common divisor of 25 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 471*y - 461*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**3 + 31*t**2 + 68*t - 475. Let c be a(8). Solve -c*q + 216 = 4*d + 204, -2*q = 3*d - 16 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 + 858*r**2 + 368082*r + 52635726.\nAnswer: 2*(r + 429)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 62 in increasing order.\nAnswer: -4, 2, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/37 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 0, 3, 2754 in descending order.\nAnswer: 2754, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 c when four letters picked without replacement from ksccckvscs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 784\/(-1078) + (-288)\/(-33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*c - 55 = 7*c, 0 = 5*c + 10. Let z(l) = -l**2 + 6*l + 10. Determine z(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/651 and -59\/8?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 12 = 4*x + 6*s, -13 = -x + 3*s. Suppose -6*y + y + 2*a = -20, -a = -3*y + 11. Is x <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.0463 and 1.4.\nAnswer: 3.4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 34 = 4*g, 9*a - 4*g + 26 = 4*a. Let s be a*6\/(-12)*4. Let n = 43 - 7. Calculate the greatest common factor of s and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/(28 + 2875\/(-46) + 33).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*44\/24 + -3. Let q = -3 + 2. What is the closest to q in -3, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1110100010011011101011101?\nAnswer: -1110100010011011101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Suppose u = -7*b + 4*b + 12. Suppose -16 = -4*i - 4. What is the remainder when b is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -25*i**3 - 40*i**2 + 2*i + 63*i**3 - 6*i - 15*i**3 - 16*i**3. Calculate the least common multiple of h(6) and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**3 + 13*t**2 - 44*t - 2472 with respect to t.\nAnswer: -3*t**2 + 26*t - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 1 - 7)*((0 + 0 + 2)*(-2*p - p + p) - 2*p + 0*p + p).\nAnswer: 115*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 3463.\nAnswer: -3462.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/54, 0.04, -0.4, 3 in descending order.\nAnswer: 3, 0.04, 1\/54, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 2323333?\nAnswer: 2323323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 1353060551378?\nAnswer: 1353060551379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 - 19 = -9*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/14 - 6\/21. Let k(v) = v**3 - 2*v**2 + 5*v - 5. Let n be k(g). Solve -2*i = 15 - n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 15 = -3*f, 3*n + n + 12 = 0. Let z(p) = -2*p**2 + 3*p + 3. Determine z(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-2 + 2)) + 3. Suppose -g - y*g + 25 = 0. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 2*i + 4*i)*(i + 4*i - 4*i)*(-1 + 2 - 2).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -64*w - 65*w + 21 - 58*w + 186*w. What is p(22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -98876*y + 5779. Is w(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(156) + 2*sqrt(156)))\/(sqrt(36)\/sqrt(3)*-6)*-4.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 267 + 274 - 5*v**2 - 4*v**2 - 3*v**2 - 2*v**2.\nAnswer: -8*v**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 17*n + 8. Let t be a(-8). Solve -5*o + 4*o = t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (4 - 2) - -7) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 (base 12) in base 10?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*j + 488 = -55*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 4*n + 3. Suppose 0 = -7*l + 6 - 27. Let f be v(l). Suppose f*g - 16 = 25*g. Is -2\/61 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550007261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -727 + 2162\/3. Find the common denominator of v and 43\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000018 to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(-1\/5)\/t))\/(t*t\/(t\/(t\/(t\/(t*t\/(t**2\/t)))))))\/(t**(-2)*t*t**2))\/((t\/t**(1\/3))**(-23)\/((t*t**0)\/t**(-3\/7))) assuming t is positive.\nAnswer: t**(1571\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -36. Let g = 42 + q. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 40250728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 2*h. Solve 0 = h*a - 3*f - 4 - 12, -5*a + f = -20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12332*w**3 - 14200 - 26261*w**3 + 14200 + 8077*w**3.\nAnswer: -30516*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 1 + c + 0*c**2 - c**2 - 383 + 119*c**2 + 383 + c**2 + 2 - 2 + 1 - 1 - c**2 + (2*c + 0 + 0)*(c + 3 - 3).\nAnswer: 120*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -22. Let h = -24 - -79\/3. Let w = h + a. Is w != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(720) + (2*sqrt(720))**2 + -3 + 2 + sqrt(720) + 1) + 4.\nAnswer: 48*sqrt(5) + 5764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 538.1861 years in months?\nAnswer: 6458.2332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s + 3*h = 11, h - 5 = 0. Suppose 0 = 2*i + 3*i - 20. Suppose j = -s*j + 4*u - 1, -u = -i. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 3 + 19 = 2*d, -d = 4*q + 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-393)\/(-1310))\/((-54)\/8)*1.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 times -1825033?\nAnswer: 114977079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/36 and 59\/84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 11 = 3*i, 0 = -5*i + 8*y - 12*y + 29 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 112927 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1053562 (base 7) to base 5\nAnswer: -13142342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011111001 (base 2) to base 3.\nAnswer: 2110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 7. Let l be g(5). Let k(a) = 11*a**2 + 7*a - 8. Let i be k(1). Let x = i + l. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 197808, 197845, 197892, 197949, 198016?\n\"Answer: 5*d**2 + 22*d + 197781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -15)\/3 + 354. Suppose -1 = -y - 0, -5*j - 3*y = -o. What are the prime factors of j?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/5)*v*v)**(1\/14)*(v*v**(1\/5))\/v*(v**10\/v)\/v*v*v assuming v is positive.\nAnswer: v**(731\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, -2, -41446, 0, 5 in decreasing order.\nAnswer: 11, 5, 0, -2, -5, -41446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**7\/2520 + j**6\/80 - j**5\/12 - 6*j**2. Let r(k) be the third derivative of s(k). Calculate r(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5200)*-1 + sqrt(5200))*-3*-1)\/((sqrt(44) + (sqrt(44) - (sqrt(220)\/sqrt(5) + sqrt(44))))\/sqrt(11) + sqrt(144)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*w + 394, -234*r + 1504 = -230*r + 2*w. Calculate the greatest common factor of 99 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-108))\/((-3)\/9).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2732*v - 2742*v - 2731*v - 2741*v + 13684*v - 2740*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041138 is divided by 1128.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*j, i = j - 8 - 2. Let y = 15 - 8. Let d = y - j. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 17 + 170 = 0. Solve -22 = -h*z + 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23957 is divided by 444.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from {l: 2, d: 1, b: 1, r: 1, y: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p - 93. Let w be h(17). Let l(q) = q**2 - 2*q + 2. Let z(a) = -4*a**2 + 9*a - 9. Determine w*l(k) + 2*z(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49487.\nAnswer: 17, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = 2*r - 101. Solve 0*p + 3 = -3*z + 3*p, -r*z + 4*p - 8 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9640\/1446*(27\/12)\/1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*n - 245*n - 35*n + 4602 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4961625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n + 8. Let z(q) be the first derivative of -q**3\/3 + 4*q**2 + 8*q + 4. What is the units digit of z(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d**2 - 22*d - 8. Give z(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3*b = -3*b - 24, -3*b = -4*y + 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15731502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*g**4 + 70*g**2 - 2*g wrt g.\nAnswer: -1896*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 8:59 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 1:29 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17880 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 0.9, -2, -5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1163*m**2\/3 - 2329*m\/3 + 2.\nAnswer: (m - 2)*(1163*m - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5036985 and 123685965?\nAnswer: 1113173685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2199 - -2192. Let u be (-28)\/45 + 4\/18. What is the smallest value in u, s, 1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n + 9. Let c(s) = -6*s - 9. Suppose 6*i - 20 = i. Let b(r) = i*c(r) + 5*g(r). What is the units digit of b(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -62 (c) 1\/4 (d) -2 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54339 is divided by 1924.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7242, 3, 1.\nAnswer: 1, 3, 7242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 75*w - 433. What is the remainder when l(8) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214132 - 31?\nAnswer: -214203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/20*(-7 + 2). Suppose 0 = 2*f + 1 - 3, -4*d - y*f + 62 = 0. Suppose -5*j + 39 = 3*q - 48, 0 = -5*j + d. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -254.9766 + 255. Let j = g + 41.0766. Round j to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, -69\/227, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (67\/(-2))\/(7\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 6\/(-3))*-1. Let p = 1 - m. Is (1*p)\/(7\/28) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 4, -16, -40?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.59629 seconds to hours.\nAnswer: 0.021554525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 14*w**2 - 23. Is i(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.007205446 to 4 dps.\nAnswer: 1.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 13*i**2 + 14*i - 12. Give q(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/2 and 7\/94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 + j. Suppose 2*s - 3*m - 14 = -7*m, 2*s + 2*m = 6. Calculate v(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 483.9 - 557. Let y = a - -29. What is y rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/108*0)\/(4\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -199190406, -398380811, -597571216, -796761621, -995952026?\n\"Answer: -199190405*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4273211.\nAnswer: 43, 99377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/7)*f**(1\/19)\/f)\/(f\/(f*f**(-2\/11)*f)*f**(2\/9)\/f) assuming f is positive.\nAnswer: f**(6659\/13167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (2 - (4 - 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*f = 8, 4*f + 29 = 5*t - 18. Suppose -4*w + t*w - 12 = 0. Let k be (-55)\/(-3) - (-4)\/6. Solve w*i = 3 - k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 46bda - 315?\nAnswer: 468c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 60147 and 49?\nAnswer: 60098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y + 18. Suppose -5 + 4 = l. Let d be l\/3 - 539997\/y. Round d to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8. Let l = -8151 - -8151.3. What is the nearest to x in -1.9, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 134*f - 86. Let r be w(28). Suppose 8*c - 2878 = r. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -1\/120*i**6 + 0*i - 2\/3*i**3 - 1\/15*i**5 - 1\/8*i**4 + 0 - 52*i**2. What is y(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -54*r - 5. Let l(u) = -594*u - 54. Let p(n) = 54*d(n) - 5*l(n). Let q(y) = -2*y**2. Determine p(q(j)).\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 221274099 divided by 747\nAnswer: 296217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -506 + 511. Sort 2, -3, d, 0 in increasing order.\nAnswer: -3, 0, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 13*a = -6, 3*p = 4*a + 3. What is the second biggest value in 14\/13, -5, p?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 249 and 18011.\nAnswer: 54033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11190 or -468?\nAnswer: -468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8*h**3 - 3*h**2 - 5*h - 4. Suppose 0 = 5*m - 4*t + 3*t + 18, 0 = -m - t. Let l be s(m). Suppose 7*v - l = 17. Is 31 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b25e5 (base 15) to base 10\nAnswer: -2083715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2481.70983 less than 0.003?\nAnswer: -2481.70683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Let t be 21918\/(-61880) + 4\/56. Let q = 1\/340 - t. Which is the closest to q? (a) -3 (b) 0.06 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2005500 (base 9) to base 6.\nAnswer: 34511300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.42612 at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 9*q + 4. Let v be t(8). Let l(j) = -j - 2. Let u be l(v). What is the third derivative of -2*o**6 + 0*o**2 + u*o**2 - o**2 wrt o?\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/11)\/((-124)\/(-31)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498314802?\nAnswer: 2, 3, 97, 367, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from {v: 1, n: 2, q: 1, l: 2, t: 8, h: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 11:18 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o**2 + 5*o**2 + 3 + 3*o - 6*o**2 - 2*o**2 as p*o**2 + y + k*o and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 4) + ((-8)\/(-32) - 1) - (-51)\/(-28)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -40, 5, 312, 1, -0.2 in decreasing order.\nAnswer: 312, 5, 1, -0.2, -0.6, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*sqrt(2268) + 2)**2.\nAnswer: -1260*sqrt(7) + 56749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*d = -9, 6 - 4 = 2*a - 2*d. Solve 0*h + h - a = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114598 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8068 - 8050. Solve 17*b = -f*b - 210 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93694 - 93694 - 34*y + 41*y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -605 - -608. Let s(u) be the third derivative of 0*u**4 + u**2 + 19\/60*u**5 + 0*u**z + 0 + 0*u. Let f(o) = -2*o. What is s(f(t))?\nAnswer: 76*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -5 - (5 - -1). Is (3 - -22) + s + -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363 = -45*y + 948 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 + c**2 - 4*c**2 + (-1 + 5 - 3)*(-5*c**2 - 2*c**2 + 4*c**2) + (5*c + 4 - 4)*(2*c + 0*c - 4*c) as q*c**2 + s*c + g and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 231\/(-14)*4\/(-6). Suppose -d + 2*d - 8 = 0. Let k = q - d. Solve -2 = k*o + f + 3, 2*f = -4*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from qecevevfcewfevf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2 - 96*q + 99 = 0.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(5000) - sqrt(150)\/(sqrt(3)*2))\/(sqrt(810)*-2 - 2*sqrt(490)) + 4)**2.\nAnswer: 21*sqrt(5)\/8 + 67741\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 7*u + 8. Let i be t(-6). Let n = -584 + 599. Solve 0*f = h + 2*f + 3, 5*f - n = i*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2012, -0.2, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 - (-7 - -8) - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 325426*i**4 - 1110863 wrt i?\nAnswer: 1301704*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4652 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -398, -1621, -3666, -6539, -10246, -14793?\nAnswer: -20186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**5\/5 + 78*v**4\/5 - 519*v**3\/5 + 444*v**2\/5 + 2772*v\/5 + 1728\/5 = 0.\nAnswer: -1, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*a - 135. Let g = a - 15. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2614336 or -0.87?\nAnswer: 2614336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -25*r**2 + 935*r - 370 = 0.\nAnswer: 2\/5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 1:14 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -532490*f**2 + 18*f. Let c(x) = 2*x. What is r(c(w))?\nAnswer: -2129960*w**2 + 36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p + 54*p = -2*x - 672, -5*x - 5 = 0. Suppose 1266 = 28*u - p. Calculate the smallest common multiple of 75 and u.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 5*b - 4. Let g be t(3). Suppose -g*s = -231 - 113. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(((sqrt(175) - ((-2*sqrt(175) - sqrt(175)) + -4)) + -4)**2 + (sqrt(175)*1*4 + sqrt(175)*-2 + -4)**2).\nAnswer: -480*sqrt(7) + 21096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**3 - 2*j**2 + j - 2. Let n(b) = b**3 + b**2. What is -d(q) - 4*n(q)?\nAnswer: -9*q**3 - 2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -213*j + 11285. Let p be a(53). Let i(r) = -12*r - 5. Let f(z) = 24*z + 9. Calculate p*f(s) - 7*i(s).\nAnswer: -12*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6135 is divided by 146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*-4*(sqrt(119)\/(2*sqrt(1008)) - ((sqrt(272) + -1)*5)**2)*-3.\nAnswer: -491400 + 14403*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*281\/((-153426)\/(-44044)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 258385423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15245 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h*o*s**3 - 3*h*o*s - h*s**3 + 15*o*s**3 + 4*o*s**2 + 6*o*s - 5*s**3 wrt s?\nAnswer: -12*h*o - 6*h + 90*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 7. Suppose -2*y + y + 39 = 2*g, -5*y + 217 = -g. Let s = d + y. What are the prime factors of s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2\/11 - 102*w\/11 + 100\/11 = 0.\nAnswer: 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.073, 5, 3\/4, -0.3, 1\/108801 in descending order.\nAnswer: 5, 3\/4, 1\/108801, -0.073, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -36.6561 + 0.5\nAnswer: -36.1561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-33) - (32\/(-6) - -1). Suppose 10 = 2*i, 5*u - u + g*i = 637. What is the greatest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -982 + 1655. Is d a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 + 115. Solve -16*y + q*y + 5*y**2 + 3*y + y = 0 for y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f - 8*f**3 - 5*f + (0*f**2 + f**2 + 0*f**2)*(0*f - 7*f + 13*f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = 5. Suppose f - 3*y + 17 = 0, -4*y = -14*f + 18*f + 52. What is the remainder when (f\/(-3))\/((-1)\/((-39)\/13)) is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1399*a**2 - 24*a - 709. Let q(w) = 466*w**2 - 9*w - 236. Let n(b) = 3*g(b) - 8*q(b). What is the derivative of n(r) wrt r?\nAnswer: 938*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/31))\/r*r**(-3)*r*r**11*r*r**(-14)*r assuming r is positive.\nAnswer: r**(-95\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16289487, 16289476, 16289459, 16289436, 16289407?\nAnswer: 16289372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 2, c: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 655.5 - 650. Let r = 6.9 + 0.5. Let g = h - r. Round g to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/7 of a week in hours?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 215bb + 4?\nAnswer: 21603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1872)*3*4 + sqrt(1872) + 0 + 4 - (sqrt(1872) - (-5 + -1*sqrt(1872)) - (sqrt(1872) + -2 + sqrt(1872) + -4)))**2.\nAnswer: -2184*sqrt(13) + 316412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 13*d - 16. Let n be ((-14)\/4)\/(4\/(-56)*1). Suppose 0 = -8*k + 63 + n. Determine x(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3, -5, 19, -2 in decreasing order.\nAnswer: 19, 15, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*u - 27. Let p(s) be the third derivative of 1\/20*s**5 + 0*s**3 + 0*s + u*s**2 + 0 - 1\/8*s**4. What is the second derivative of p(g) wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 - 5*c**2 - 8*c - 4. Let k(b) = b**3 + 6*b + 5. Let f(y) = -d(y) - k(y). Suppose 4*p - 3*p = -3. Give f(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, j: 1, k: 1, e: 4, n: 3, z: 1}. What is prob of picking 2 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -893, -6652, -22145, -52238, -101797, -175688, -278777?\n\"Answer: -811*m**3 - m**2 - 79*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198108649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8344796?\nAnswer: 2, 2086199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -160157*c - 18. Let q be (12\/(-10))\/(78\/260). Let b be g(q). Suppose -2040610 = -10*j - b. Round j to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, -0.365, -2, -4 in ascending order.\nAnswer: -4, -2, -0.5, -0.365, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300, -311, -338, -387, -464, -575, -726, -923?\nAnswer: -1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -3, -4, -2, 57?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + m - 2*m)*(-2*m**3 - m**4 + 2*m**3) + 9*m**5 + 10*m - 10*m.\nAnswer: 7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhh. Give prob of sequence hnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**3 + 1395*a**2 + 173930*a - 353400 = 0. What is a?\nAnswer: -95, 2, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven fifths of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/180*2)\/(-4*39\/1040*-16).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g + 387. Calculate w(-101).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40605 (base 10) to base 11.\nAnswer: 28564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 31 - 15 = 0. What is the tens digit of (v\/(-4))\/(10\/(-6640)*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (-12)\/78 + (-3867)\/(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -330124 (base 5) to base 13\nAnswer: -51a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1218)\/49*((-484)\/(-12) - 38).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 0.4, -2, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1\/(-10) + (-394)\/180 + 880\/(-3300)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8605 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 372.6233 micrometers to nanometers.\nAnswer: 372623.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 422400 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*g + 18, 5*s + 4*g = 4*s + 11. Let y be 9*(-16)\/(-216)*(-5 - -2). Which is greater: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -73, 3, 5 in descending order.\nAnswer: 5, 4, 3, -2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udcsa. What is prob of picking 1 c, 1 d, and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35878 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -42*v**4 + 423*v**3\/2 - 9*v**2\/2 - 15*v = 0.\nAnswer: -1\/4, 0, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6699, 52985, 178397, 422499, 824855?\nAnswer: 1425029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4 = -4*w, -3*i + 21 = -i - w. Calculate the remainder when 15 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*z + 143225 = 2156*z for z.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 6\/12*-4. Suppose 385512 = -5*o - 48*f + 52*f, b*o = 2*f - 154206. Round o to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 22. Let a = -10 - r. Is 5 a factor of (-184)\/(-7) + a\/((-35)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*12699062\nAnswer: -17778686.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**5\/20 + r**4\/4 + r**3\/3 + 4*r. Suppose j(v) = 0. What is v?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-2))\/(110*(-28)\/1680)?\nAnswer: 78\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 60\/2342389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 2}. Give prob of picking 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -26. Suppose 77 + 277 = 59*y. Let s = y + i. What is the smallest common multiple of 8 and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f + 75*f = -40*f + 1530 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/7, 2\/7, -6, 0.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 2, 11, 0.6 in increasing order.\nAnswer: 1\/6, 0.6, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 21*j**3 + 8*j**2 - 98*j + 8. Let r(b) = 7*b**3 + 3*b**2 - 33*b + 3. Let p(i) = -3*l(i) + 8*r(i). Find the second derivative of p(x) wrt x.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73141511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - 6*o**2 - 16*o + 3. What is the tens digit of a(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7663264171 rounded to three decimal places?\nAnswer: 0.766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 860, 5, 0, 7, 4, -4 in descending order.\nAnswer: 860, 7, 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -ec412?\nAnswer: -ec412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 5*l + 6. Find the second derivative of -4 + 4 + 0 - 2*x + l*x**3 wrt x.\nAnswer: 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5 - 205 = 0. What is the greatest common factor of 28 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x. Suppose 0 = 12*a - 10*a. Let w(l) be the second derivative of 0*l**2 + 0 - 2*l + a*l**3 - 1\/6*l**4. Give w(c(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4)*30\/(-15)*(-728)\/7)\/(-2)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -3. Let y = 5.6 + z. Let d = 0.5 + y. Which is the third biggest value? (a) d (b) -3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21818, 44470, 67122, 89774, 112426, 135078?\n\"Answer: 22652*h - 834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zurroruzzorur. What is prob of sequence zz?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z - 468 = 0. What is the highest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -858.1 - -0.3?\nAnswer: -857.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158 + n - 187 - 119 - 260 to j*n + l and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**6\/(j*j\/(j\/j**(1\/2))))**20)**(15\/7) assuming j is positive.\nAnswer: j**(1350\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*j - 90. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((58 - -38)\/(-24))\/((-1)\/30)*(-2)\/(-3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 6 = 5*p. Solve 5*d = 3*f - 41 + 1, -2*d - p*f + 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177461 is divided by 5217.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 311 + 1412?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2551824 - 4.\nAnswer: 2551820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24906, 2732, 0 in increasing order.\nAnswer: -24906, 0, 2732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -43. Which is the third biggest value? (a) p (b) -1\/2 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7540\/2320 + 9*(-1)\/4. Let f = 11 - 12. Which is the closest to f? (a) 0.1 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a factor of 789413952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7 - -1) + 1 - -5) + 1 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42182 + 72178. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 25, -3*r - 5*v + 48 = 10 - 20 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -35, -41, -49?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12551 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by -3840?\nAnswer: 53\/3840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from prrpvrrvrvvrvrrwrv.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9335 plus 0.11?\nAnswer: 1.0435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 11, v: 1, o: 8}. Give prob of picking 2 o.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/11? (a) 8\/5 (b) -0.2 (c) -1\/15 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-77) + (-48)\/(-99) + 252\/(-162). What is the biggest value in 1, -2, 1\/9, -4\/3, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + 10. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 12*m + 2 - 7*m - 5*m**2 - 5*m**3 - 4*m + 4*m**3. What is d(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -815892.14 to the nearest one hundred.\nAnswer: -815900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0\/(-2) + (-693)\/98 and -31\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - p**2 - 351*p**3 + 533*p**3.\nAnswer: 182*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 3. Let a be (-34 + -1)\/(z\/(-28)). Let h = -90 + a. Does 25 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/17 - 2*l**4\/17 - 22*l**3\/17 - 14*l**2\/17 + 20*l\/17 + 16\/17 = 0. What is l?\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77386475281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 3*y**2 + 2*y - 1. Let i be x(-2). Let a = 12 - i. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 2*m**2 - 3*m**2)*(4 - 2*m - 4) - 16*m**3 - 26*m**2 + 26*m**2 + (-3*m + 22*m + 8*m)*(-m**2 - 2*m**2 + 5*m**2).\nAnswer: 42*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7920\/2805*68\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**2 + 3*k**2 - 5*k**2 + (4*k + 0*k - 3*k)*(-2*k + 3 - 3)*(-80 + 20 + 15) - k**2 + 2*k**2 - 3*k**2 to the form m*k + o + h*k**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 128, 127, 128, 131?\n\"Answer: i**2 - 4*i + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2. Let z(d) = -15*d - 2*d - 10*d - 15 + 48*d. Let l(h) = 3*h - 2. Let i(m) = 15*l(m) - 2*z(m). Calculate j(i(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 709.2 - 709. Which is smaller: 41\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16f (base 16) in base 12?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 16. Suppose 6*j + 313 = 9*j - v*w, 0 = 4*w + 4. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/89300 or -260?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -8 (c) 1\/30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 6*z**2 - 189*z + 1654. Calculate x(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/3 (b) 4 (c) -1\/13 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548207\/627 + 8\/(-6) is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*c**3*h + 2*c**3 + c*h + 249*h - 3 with respect to c.\nAnswer: 66*c**2*h + 6*c**2 + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1643)\/(-186)*24*(-3)\/12?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 494*y. Let l(u) = -81442*u**2. Determine l(x(d)).\nAnswer: -19874779912*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 203\/5. Let p = -189 + 189.1. Which is the third smallest value? (a) l (b) 0 (c) p (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 + -10 + -9 + 13 + -18.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -20*g**3 + 16*g**2 + 11*g. Let i(f) = -4*f**3 + 3*f**2 + 2*f. Suppose 13 = 4*h + 57. Let m(p) = h*i(p) + 2*y(p). List the prime factors of m(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 28*n - 1091. What is g(16)?\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -5, 2*i - 3*t - 19 = -0*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 134 = -2*y. Let g = -10 - y. Which is smaller: 0.1 or g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 6:18 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -101, -111, -125, -143?\n\"Answer: -2*l**2 - 4*l - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2144207?\nAnswer: 13, 19, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 - 90.05. Let j = r - -91. Which is bigger: j or -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**3\/2 + 29*x**2\/2 + 36*x. Let k be r(-8). Solve -s + 4*v = -5*s + 16, -k*v + 20 = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-3)\/(-6)*-18. Is 6 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 276*y - 458. Is w(6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2195 and 80692151?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/27)\/(w\/(w\/((w**(-10)*w)\/w))*w))\/(w**(-18)*w*w**(-2\/25)*w) assuming w is positive.\nAnswer: w**(16979\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 12) to base 15\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8270 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**2 - 8133*m - 721626 = 0.\nAnswer: -86, 2797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 27.678.\nAnswer: 27.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59044 + 59042.10152. Let i = z - -1.9. What is i rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214, -212, -210, -208?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k + 7 - 20. Let p = -1 + 7. Let v = p - k. Calculate the greatest common divisor of v and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5106489953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/167 in 1\/3, 7078, -11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 6*d - 38. Let a be 3\/(d\/(-48))*(-5)\/4. Solve 0*n - a = 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i. Let g(h) = 47*h + 257. Give g(o(x)).\nAnswer: 94*x + 257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8*v**2 - 4*v + 5. Let g(o) = 9*o**2 + 5*o - 6. What is 4*g(m) + 5*x(m)?\nAnswer: -4*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 8. Suppose -3*t - 1 = -b*t. Suppose 0*i + 0*i = 6*i. Put 2, t, i in decreasing order.\nAnswer: 2, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*q - 65 = 130*q. Suppose 0 = g - 21 - 6. Suppose 2*o + q*x + g = 9, -o - 5*x = 14. Let n(l) = l**2 + l. Determine n(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95.7474 + -0.2026. What is n rounded to zero decimal places?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 5:23 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + 0*u**5 - u**5 + (-28 - 1 + 1)*(-3*u**5 - 1 + 1) + (-3*u**2 + 0*u**2 + 4*u**2)*(4*u + u**3 - 4*u).\nAnswer: 83*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**3 - 314*b + 199*b - 2*b**3.\nAnswer: -10*b**3 - 115*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1807 - 1020081822\nAnswer: -1020080015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4 - 2*p**2 + 4*p**2 - 3*p**2 + 5*p + 3*p. Let n be j(8). Solve n*d + 10 - 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 798777 - 42663818.\nAnswer: -41865041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 63.08143 hours?\nAnswer: 227093148000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y + 161 = 24*y. Suppose 5*z = -8 + y. Suppose 6007 = z*b - 4772. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 56 = -y. Let q = y - -23. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k + 4. Let p(t) = -13*t + 7. Let i(h) = -3*p(h) + 5*y(h). Let j(c) be the first derivative of -c**2 - 3*c - 15. What is -7*i(d) + 3*j(d)?\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 8:55 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.4 times -1777?\nAnswer: 57574.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34561*a**2*o**3 + 11*a**2*o + 281*a*o**2 - 32*o**2 wrt o?\nAnswer: 207366*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-632)\/40 - (-68)\/85. What is the biggest value in 9\/11, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/14 and 91\/11151690?\nAnswer: 78061830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1820 = 3198*q - 3328*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.71 - -0.41. Let k = -19 - -19.5. Put k, 3, g, -3\/7 in descending order.\nAnswer: 3, k, g, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -75*r**2 - 65. Let o(b) = 7*b**2 + 6. Let i(n) = -65*o(n) - 6*t(n). Let g(l) = -l + 13. What is i(g(u))?\nAnswer: -5*u**2 + 130*u - 845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2283.9858 minutes?\nAnswer: 1.58610125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 48 + 17?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in seconds?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11551 - 11551. Let v(y) be the third derivative of 7*y**2 + b - 1\/4*y**4 + 0*y - 1\/3*y**3. Determine v(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 40*k - 893. Determine x(-56).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12220 + 12217 - (-1 - -3 - (-5 - (-147 + -4)))\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 679 + 77 = 0. Suppose i*j = 116*j. Solve j = 3*t + 4 + 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85570 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (400\/850)\/(12\/34).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -18.4. What is the nearest to 4 in c, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.31947, -0.2, 0.4, -1459?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116828 + 233648 + 15*n**2 - 12*n - 116820.\nAnswer: 15*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 157591.562 rounded to the nearest one thousand?\nAnswer: 158000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.472 - -1.5. Let k = 0.02800019 - t. Round k to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138663\/65 or -2133?\nAnswer: -138663\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cc (base 16) to base 5.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51237 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -2*z - 10, -l + 4 = 2*z + 14 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6256)\/276)\/(1 - 4\/(-12))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12378 by 92.\nAnswer: -6189\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 - 550*y**2 - 6 + 550*y**2 - y to the form b*y**2 + o*y + x + v*y**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -55*i + 385. Let p be g(7). Let j(u) be the first derivative of p*u - 9 + 9\/2*u**2. Let r(m) = -m. Determine r(j(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.038 - 0.028. What is the biggest value in n, 3, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 + 62. Suppose 4*x = 11 + 9. Suppose -2*q - 5 = 5*a - 28, 5*q - 5 = x*a. Solve c*l = 2*f + 4*l - 20, -2*l + 10 = -a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15477 - 15477 + 506*s)*(-4*s + 5*s + s)*(491 - 35*s - 491).\nAnswer: -35420*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((-6 - 1) + (-45 - -41))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 111 = -4*o - 24, 3*h + 165 = -5*o. Let t = -14 - o. Suppose -w + 5*w = -t. Sort -5, w, -2.\nAnswer: -5, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -1367*z**7\/105 - 529*z**5\/60 - z**4\/24 - 4*z**2 + 7*z - 29. What is the third derivative of c(f) wrt f?\nAnswer: -65616*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 20 = -4*k, 0 = 23*q - 3*k + 89 + 41 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 7*x + 9. Let w be p(-6). Let v be (0 - 4) + (0 - -10). Factor -2*i**4 + v*i**2 - 5*i**3 + 7*i**w - 2*i**2.\nAnswer: -2*i**2*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*u + 15. Let r(n) = -n - 7. Let s be r(u). Let z(i) = -3*i**2 - 28*i - 9. Let w be z(-9). Put w, s, -5 in increasing order.\nAnswer: -5, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409688173?\nAnswer: 409688173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-8) + -2 + (-679)\/(-388). Suppose 0 = 5*k + 30 - 5. Put -3, k, q in ascending order.\nAnswer: k, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -1, -192\/11 in increasing order.\nAnswer: -192\/11, -1, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -5, 30, 18924 in decreasing order.\nAnswer: 18924, 30, 12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 = 5*l + 94, 2*l - 3*t = -33. Let o(b) = b**2 - b - 21. Let f be o(0). Let x be (l\/8)\/(f\/(-56)). Which is smaller: 1\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 7, a: 4, p: 2, l: 3}. What is prob of picking 2 p?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from unyaynnunnqqyn.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 332288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -36651190 to the nearest 10000.\nAnswer: -36650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1957 - 0.0957. Which is the closest to -2? (a) -5 (b) i (c) -11 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -7.7. Sort -3\/5, p, -5.\nAnswer: -5, -3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 404201?\nAnswer: -404201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 43068 = -2*c. Suppose 3*m + m + 2*k - c = 0, -4 = -4*k. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*c - 158 = 0. Let q = -78 + c. What is the highest common divisor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 8:24 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.1 * -10165.\nAnswer: -194151.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.43 - 0.519. Let g = -1.5343 - -1.614. Let t = g + b. What is t rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 + 4*i - 4. Let v be ((-4)\/10)\/(1\/(-15)). Let z = 2 - v. Let h(s) = 5 - 5*s + 4*s**2 + 0 + 2 - 2. Calculate z*h(c) - 5*x(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 + 21*f - 5*f)*(3*f**3 + f**3 - 18*f**3) to the form x*f**4 + j*f**3 + u + z*f**2 + p*f and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2619\/8148*42\/216\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -0.1 (c) 2\/17 (d) 0.3 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 12199*s**2 - 24399*s**2 + 12199*s**2 + 120*s = 0.\nAnswer: 0, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 10:32 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-1 - -5)) + (-39 - (33 + -83 + 35))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3288*g - 3279*g - 10 + 10 - 3283*g - 3276*g + 13124*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -4*j - 5*i, -5*j - i - 8 = -161. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3321 + -3324. Which is the second smallest value? (a) 0.1 (b) -0.02 (c) 10 (d) -1\/4 (e) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-21)*h*(h**27\/h)\/h*h**(5\/3)\/(h*h**22*h) assuming h is positive.\nAnswer: h**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 4414197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, n: 2, j: 1, u: 3, w: 3, m: 1}. What is prob of picking 2 u and 1 m?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from lbpcoxc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/468*27\/6.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -10 - (-6 + -11 - -21)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2 + y + 2*y - 4*y + 3. Suppose -5*j - c - 25 = 0, -c = -2*c + 5. Let q(n) = 2*n**2 + 9*n - 6. Determine j*f(x) - q(x).\nAnswer: -2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 c when three letters picked without replacement from {c: 1, r: 7}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1 + (-1)\/(-1). Suppose -i = -1, 0 = 5*h + w*i - 12 - 0. Suppose -9*r**3 - 4*r**2 + 4 - 4*r**3 + r**3 - h*r**3 + 14*r = 0. What is r?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2473696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -12188716 and -3.\nAnswer: -12188719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 968111857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsdd when four letters picked without replacement from {d: 4, s: 3, g: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-3)*(7 + -2 + -20). Let p = -67 - v. What is the greatest common factor of 198 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (36\/21)\/((-17)\/(-5236))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 6*z**2 + 16*z + 7. Give m(4).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-42))\/(8304\/(-2422))*(-7)\/(42\/8)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -3043398?\nAnswer: -7\/3043398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -9*c + 15. Let q(g) = 16*g - 29. Let b(l) = -7*i(l) - 4*q(l). What is b(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607846483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**2 + 1403*x - 13930 = 0.\nAnswer: 10, 1393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 3*m - 2*m + m**3 + 64 + 25 - 2*m**3. Let t(q) = 4*q. Determine t(w(n)).\nAnswer: -12*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -141393792 divided by 12\nAnswer: -11782816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-490)\/32) + (-6)\/10.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 154\/108 + 12\/(-6). Let k = 2\/27 + m. Let u be 0 + 1 + 0 + 1. Which is the second biggest value? (a) 4\/3 (b) u (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Suppose 0 = -6*d - 357 + 255. Let g(h) = -h**2 - 17*h - 1. Let b be g(d). Let t(y) = -5*y + 2. Give b*t(k) - 6*v(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + 6*3*2*sqrt(180) + -2))**2.\nAnswer: 3456*sqrt(5) + 933136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242425 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6474119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4793621 months in centuries?\nAnswer: 0.00123280175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -23*h**6\/6 + 22*h**3\/3 + 14. What is the third derivative of u(l) wrt l?\nAnswer: -1380*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23746000 rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011 + 11100?\nAnswer: -1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g. Suppose 0 = -24*s - 168. Let n(u) = -9*u - 1. Calculate s*v(f) - 2*n(f).\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*z + 137*z + 44 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2500 and 7\/20?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (28\/(-6))\/(2\/(-78)). Let w = 397 - s. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + (2 - (6 + 18)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 117? (a) 2 (b) -32 (c) 18 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(1539) + 1)*-6)**2.\nAnswer: 648*sqrt(19) + 55437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k\/(k*k**(-1\/3)))*k**2*k**(-3\/4)*k**(-4) assuming k is positive.\nAnswer: k**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1694*h**3 + 575*h - 2.\nAnswer: -10164*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -27 - (-2 - -4 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/8804 and -13\/62?\nAnswer: 8804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 671 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3666*j**2 + 335*j.\nAnswer: -7332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1209*b + 3637*b - 1090*b + 56340 = 0 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = -5*i - 213 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = -57*n - 75 + 44 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-8)\/6*6\/(-28)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/4145 and -137\/486?\nAnswer: 2014470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**5\/30 + h**4\/8 + 23*h**3\/3 + 4*h**2 - 75*h + 1. Calculate w(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1753 and 4.\nAnswer: 7012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*d + 29*d - 420*d)*(d - 2*d - d) + (2*d + 2*d - 2*d)*(0*d - d - 2*d).\nAnswer: 748*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 24 = -i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 7*j**2 - 5*j + 7. Suppose 8 = -5*l - 47. Let v be (l + 4)*(1 - (-2)\/(-14)). Calculate g(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/2328060 and -87\/22172.\nAnswer: 2328060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76599 and 387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 - 54. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 2. Let b(v) be the second derivative of v**3\/6 + v**2\/2 - 5*v. Suppose -2*q - 12 = -5*u - 1, 0 = -2*q - 4*u - 2. Give q*p(z) - 4*b(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204394102.\nAnswer: 2, 11, 41, 226601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 16)*(-8)\/3. What is the first derivative of 70 - 142 - 23*g + k wrt g?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 3*c**2 - 2. Let k(g) = -6*g**3 - 550*g**2 + 183*g - 99. Let s be k(-92). Let l(h) = 4*h**3 + 8*h**2 - 7. Give s*z(r) + 2*l(r).\nAnswer: r**3 - 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 488*m + 397*m - 207*m to h + r*m and give r.\nAnswer: 678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15 + 0)*((-4)\/(-12))\/1. Suppose 2*k = 3*k + m*y - 109, y + 3 = 0. What are the prime factors of k?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 4. Let l be x(20). Let d = l + -25. What is the common denominator of ((-742)\/80)\/(-7)*d and -45\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**8)*c**(-3)*c)**(-1\/3)*(c**(3\/2)*c*c**(1\/10))\/(c**(-2)*c*c**(2\/19)) assuming c is positive.\nAnswer: c**(142\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64260 and 11985?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 91*q + 4. Let j be c(3). Suppose 0 = 5*r + 732 - j. Let g = 23 + r. Round g to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11314915*d - 15306964.\nAnswer: 11314915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/4 of a gram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -193\/5, -0.4, 5?\nAnswer: -193\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42145586 to the power of 1\/2, to the nearest integer?\nAnswer: 6492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 12*m + 4*m + 4*m. Let b(p) be the second derivative of -17*p**4\/12 + 3*p + 11781. Give s(b(a)).\nAnswer: -340*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 35. Solve -3*z = -p - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -960 - -960.4. Which is the closest to -1? (a) -4 (b) s (c) -3\/56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -212?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkm when three letters picked without replacement from vkkrrrhrrhkmmrhmv.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b. Let q(n) = -3*n - 27. Let r(x) = 3*o(x) + q(x). Let d be r(5). Solve c = -5*p - 21, -d*c + 1 = -p - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 15\/(-3) + 5. Suppose 344 = 2*f - 4*r + 104, -f = w*r - 112. Which is greater: 117 or f?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.96877 litres in millilitres?\nAnswer: 70968.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 239625306?\nAnswer: -239625301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuaaa. Give prob of sequence aazu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a factor of 2476401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**5\/12 - q**3\/2 + 4*q**2 + 3*q. What are the prime factors of s(-7)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n**5\/7 - 786*n**4\/7 + 669*n**3 - 7020*n**2\/7 + 972*n\/7 = 0. What is n?\nAnswer: 0, 2\/13, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 168891 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.253 - 22.947. Let d = -4.8 + j. Let k = d - -33. What is the closest to -0.3 in -5, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 4*x + 5*x)*((-1 + 2 + 0)*(x - 4 + 4) - 20*x + 16*x + 11*x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5 = 2*z. What is the nearest to -0.2 in 0.5, z, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 1437 = 66*p, -5*t - p + 68 - 42 = -21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 38646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27968)\/1368*(-486)\/216.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 4152?\nAnswer: -4146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2. Let m be g(-1). Let q be 16*(3 + 7\/(-2)). Let n be -14*4\/q + -2. Solve -m = n*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42634178 to the power of 1\/3, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjeojje. What is prob of sequence eo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**4\/4 - 4*a**3 + 11*a**2\/2 + 3*a + 3. Let q be y(11). Differentiate -2*k**q - 8 + 1 - 4*k**3 + 1 with respect to k.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 < 92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 9:31 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3*v*y**2 + k**3*v - 8*k**3*y**2 - 3*k**2*v*y + 2*k**2*y**2 + 6*k*v + 2*y wrt y.\nAnswer: -4*k**3*v - 16*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 11:33 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 57. Suppose -3190 = -k*j - 7*j. List the prime factors of j.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 9*t**2\/2 + 4*t + 5. Is u(7) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13110 (base 4) to base 15\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 4*c + 14, -58 = 10*c + 3*c - 5*c + 2*p for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/40)\/((-9)\/(-15))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 10 = 5. Let t(a) = a**3 + 8*a**2 + 80*a + 332. Let u be t(-5). Solve j*f + 2 = u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.06675, 3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 3*w + 2*w)*(-8*w - 5 + 5) - 2*w + 2*w**2 + 2*w as m*w + s + l*w**2 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 21488 = 18*w - 16*w, -3*w = 4*y - 17172. Is y a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6117 >= -6102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515?\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107481, -215018, -322555, -430092, -537629?\nAnswer: -645166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-5))\/(((-18)\/15)\/(-6)). Suppose 21 = a*g + 13. Suppose -205 = -j - 3*h, 0*j + h + 438 = g*j. List the prime factors of j.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o + 1. Let x(f) be the first derivative of -7\/2*f**2 - 2*f + 1. Calculate 11*j(b) + 6*x(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1164793\/120240 + 2\/7515. Let f = c + -1117\/240. Find the common denominator of f and -27\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuueeue. Give prob of sequence euuu.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - -25. Is (-6)\/j + (-29343)\/(-33) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f - 2*f)*(-5*f + 2*f - f)*(951 - 951 + 3*f**2).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24697043?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 332 = -8*n. Let f = -59 - n. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 5373?\nAnswer: 5373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26865*f**4 - f**3 - 6*f**2 + 656881*f wrt f.\nAnswer: -322380*f**2 - 6*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 5*m + 33, -d = 5*m - 9 - 18. Suppose 11709 = 4*k + s, k - 428 - 2497 = d*s. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, z: 1, q: 2, m: 4}. Give prob of sequence qdmq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -18, 0, 2, -5, -329.\nAnswer: -329, -18, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2)*(65\/(-15) - -5). Let y = -4 - 1. Suppose o - 2*t = -0*t + 4, -3*o = 3*t - 12. Sort y, c, o.\nAnswer: y, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -379, -381, -383, -385, -387?\n\"Answer: -2*y - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105 + 105.4. Which is the closest to -1? (a) -1 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1139095 + 62741.53\nAnswer: 1201836.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 342 and 2396\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 745989064?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -286 + 315. What is the remainder when g is divided by 408\/120 - (-3)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w**2 + 8*w**2 + 0*w**2)*(2*w**3 + 1 - 1) + (w - w + 3*w**2)*(-2*w**3 - 2 + 2).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2886 and 390?\nAnswer: 14430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/8929 - 615681\/1250060. What is the common denominator of 139\/280 and w?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 461 - 459. Let s(l) = -l - 3. Let o be s(-9). Solve -2*p = -4*z + o, -2*z = -f*p + 4*p - 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 + 1.8. Which is the closest to 0.01? (a) 0.4 (b) p (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.1 (b) -1 (c) -5 (d) -61492\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108\/5 + 32\/5*d**2 - 138\/5*d - 2\/5*d**3.\nAnswer: -2*(d - 9)*(d - 6)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 2 (b) -0.4 (c) -5.7139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 6. Let h = -91.8 + 92. Let k = 842\/99 - 96\/11. Which is the nearest to 2\/5? (a) k (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.18, 5\/4, -0.02, -0.2, -12, -5, 0.1173?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 454 - 456. What is the units digit of 345 + (w\/(-9) - (-325)\/117)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**9\/7560 - h**6\/360 - h**4\/6 - 2*h. Let o(j) be the third derivative of w(j). Find the second derivative of o(t) wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1707*o - 1701*o + 4*j + 164, j = 2*o + 50 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 208*a**4 + 807*a**4 - 57*a**4 + (5*a + 2*a**3 - 5*a)*(0*a - 3*a + a).\nAnswer: 954*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**3 + 28*c**2 + 56*c + 32 = 0. Calculate c.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -29640.3 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1078 and 112?\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(684)*-1 + (sqrt(684) - (0 + sqrt(684)*-2))**2 - (sqrt(684) + (5 + sqrt(684) + 4 - sqrt(684)) - ((sqrt(684) - (-3 + sqrt(684))) + -2)).\nAnswer: -30*sqrt(19) + 6148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5072 from -0.2.\nAnswer: 5071.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6635224, -6635207, -6635188, -6635167, -6635144, -6635119, -6635092?\nAnswer: -6635063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**5\/60 - h**4\/8 + 2*h**3\/3 + 11*h**2. Let y be d(2). Solve 0*t - 6 = y*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + 2*n**3 + 0*n**3)*(2*n**2 + 0*n**2 + 0*n**2 + (-5 + 0 + 3)*(1 - 1 - n**2)).\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3 = -5*b. Let s = 30 + -39. Let g be (-6)\/4*(-24)\/s. Sort 0, -2, g, b in decreasing order.\nAnswer: 0, -2, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -31. Suppose 4*b - 2*v - 6 = 0, -z + 0 = -5*b + 2*v. Let u = 78 - 76. Solve -f - b*r = 3*f, 5*r + 12 = -u*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 1. Let u be k(2). Suppose 0 = u*x - 5 - 1. Sort 0, x, -2 in increasing order.\nAnswer: -2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80331586 is divided by 3996.\nAnswer: 3994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -39*d - 215. Let o be y(-7). What is the greatest common divisor of 406 and o?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 498, 1980, 4458, 7938, 12426?\n\"Answer: k**3 + 492*k**2 - k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 896\/768*(10\/(-7))\/(-2)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 3*m - 6*m + (-m - 3 + 3)*(2 - 2 + 1) + m + 0*m - 3*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 + 182. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*((-12)\/4)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4*i**3 - 1\/3*i**5 - 16*i - 20\/3*i**2 + i**4 + 0 = 0.\nAnswer: -2, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2. Let y(n) = -1296*n. What is y(t(p))?\nAnswer: 1296*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799*d - 1150 = 684*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -867.\nAnswer: 6\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 183 + -173. Calculate the smallest common multiple of k and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (6 + -2 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23064461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 12 = 0, 2*v + 0*v + 3*r = 17. Suppose -4*h + 9*h - 15 = 0, -1 = v*m - 3*h. Let -1\/5*y**m - 1\/5*y**3 + 0 + 0*y = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -1\/8*m**4 - 1\/20*m**5 + 0*m**3 + 7*m**2 + 0*m + 14. Let f(b) be the second derivative of n(b). What is f(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.2. Let x be (36\/(-27))\/((-1)\/9). Suppose -5*v - 32 = -x. What is the third smallest value in v, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, k: 3, u: 3, d: 10}. Give prob of sequence kku.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5565 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 + 114*j**2 + 5*j + 319. What is a(-57)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/901 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-138*s - 32*s**2 + 138*s)*(-3*s**2 + s**2 + 3*s**2) as q + r*s**3 + c*s + z*s**4 + m*s**2 and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66.42 - 66.4. Let j = 547\/6 + -91. What is the biggest value in i, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3006 is divided by 887.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4\/((-24)\/(-549)) - 12\/8 and 12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 4 + ((-435)\/(-85) - 0)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -84755?\nAnswer: -84754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 4*c = 3*r + 26, 3*c = 2*r - 15. Solve -3*t + z - 4*z = r, -3*z = 4*t + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 33*v**2 - 54*v + 8. Let n be g(-18). Suppose -a + 3*s = n*s, -a - 12 = -s. Is a != -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -54*u**2. Let t(p) = 5*p**2 + 6. Give a(t(k)).\nAnswer: -1350*k**4 - 3240*k**2 - 1944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -3\/310, -1, -47, 7, -2\/9 in descending order.\nAnswer: 7, 6, 3, -3\/310, -2\/9, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 91. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 at most 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttaa when four letters picked without replacement from {a: 5, t: 9}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 598847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljl when three letters picked without replacement from {j: 6, u: 9, l: 3, c: 1}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12 = 2*m. Suppose -10 = -4*n + z - 3*z, m*n + z = 9. Suppose -5*b + k = -79 + 10, 34 = n*b - 2*k. Solve -3*r - b - 2 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 47, 62, 85?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 35*h + 5 = 40*h, 3*u - 4*h = -6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1380614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2 = 11542*t - 11538*t, 5*t - 10 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6287755.\nAnswer: 5, 101, 12451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 303 and 21?\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 27, -2\/9, 2 in decreasing order.\nAnswer: 27, 2, 2\/15, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 16.66, 47, -0.2 in decreasing order.\nAnswer: 47, 16.66, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 89018 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -265541 and -3.\nAnswer: 796623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3792*w + 1755 = -3837*w for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 467.67 (c) -3 (d) 0 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097569457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 8, 5*n - 5*s - 10 - 60 = 0. What is the highest common divisor of n and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 16 = 5*d. Find the third derivative of 5*f**6 + 70*f**d + 3*f**2 - 70*f**5 wrt f.\nAnswer: 600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, c: 1, b: 7, h: 4}. What is prob of sequence ee?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 60 = 3*z. Let n be (-308)\/z - 6\/45. What is the second derivative of -2*s**4 - 2*s**5 - 8*s + 5*s**n + 2*s**4 wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -409*j - 4344. Calculate n(-11).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*j - 17811, w - 5*j + 2*j = 5933. Does 32 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4628 and 1404.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-2)\/(-16)*(-864)\/(-972))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 22*z**2 - 14*z - 116. Calculate c(-22).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 601 a factor of 720193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4)\/f*f)\/f)**32*((f**(-2)*f)\/f)\/f**(-3) assuming f is positive.\nAnswer: f**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4106705 + -77?\nAnswer: 4106606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 520680 and 5770870?\nAnswer: 69250440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -42, -2\/11, -4, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 5 + (-11 - 6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/41)\/(55\/(2805\/(-51)))?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14177*s**3 + 21257*s**3 - 8675*s**3.\nAnswer: 26759*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m = -2*o + 48, -3*o = -5*m - 34. Suppose 0 = 3*t - o - 30. What is the smallest common multiple of t and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -8*q + 8. Let n(x) = -826333*x. Give n(k(o)).\nAnswer: 6610664*o - 6610664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = 3*p + 4*t, 5*t + 17 = 2. Let x = p + -785\/11. Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 11*c**2 + 12*c + 22. Let g be y(-10). Let q be g\/(-3) - 517\/(-33). Calculate the greatest common factor of q and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12 - -11)\/4)\/((-2)\/16). Solve -t*h + 0*h - 3*x = -20, 5*x = -5*h + 40 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.19 - -16.06. Suppose -2*x - 2 = -4*x. What is the smallest value in x, 1\/12, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -4. Let u = -1759.4 - -1759. Sort u, c, 0 in descending order.\nAnswer: c, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4 - 1 + 17*u**2 + 11*u**2 - 12*u**2 + 4*u. Let i = 5 - 7. Is y(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(5\/4))**23*h**(-24)\/(h*h**(-6\/7)*h) assuming h is positive.\nAnswer: h**(745\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -45*c + 5. Let w be f(1). Let g = 51 + w. Find the second derivative of -g*k**3 + 42*k**3 - 15*k - 12*k**3 wrt k.\nAnswer: 114*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 10 = -2*z, -4*t - 6*z = -3*z - 19. Is 4 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -299 divided by -2.\nAnswer: 299\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 11:48 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 5352*x**2 + 214263*x + 219618.\nAnswer: 3*(x - 1743)*(x - 42)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/5 in 186, 1\/6, 1\/4270?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 151976 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15646 - 15645. Suppose -4*h = -4 - 16. What is the second biggest value in q, h, -1, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmrrrrrrrmrrrm. What is prob of picking 2 r?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -5. Let x = -1.2 - 6.8. Let n = -4 - x. Which is the biggest value? (a) -1\/5 (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.954 - -12.7. Round g to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o + 4*o)*(0 + 1 + 1)*(38*o**2 - 31*o**3 - 38*o**2).\nAnswer: -310*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - 7d86f?\nAnswer: -7d87f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.5. Let z = -43 + 43. What is the closest to h in z, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -54612648.\nAnswer: -54612648.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -18, 228*v - 231*v = -2*f - 29 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a day?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 526856.5ug?\nAnswer: 0.5268565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 0.081, 5, 0.3, -0.439 in descending order.\nAnswer: 5, 0.3, 0.081, 0, -0.439, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -28*k**2 - 68*k - 4. Let b(y) = 8*y**2. What is c(b(d))?\nAnswer: -1792*d**4 - 544*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1334.98593 - -1335. What is k rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -735, -739, -757, -795, -859?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 8:20 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-30)\/152) - 19670\/(-1405))*50\/(-65).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -99, -8, -71, 2, 70.\nAnswer: -99, -71, -8, 2, 4, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-2)*63\/(-63) - -3*33. Which is greater: 112 or d?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97\/8 + -12. Let p = 1.9 - 2.4. Let l = 5 - 4.6. Which is the third biggest value? (a) x (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 - 0.2. Let l = -0.872 - b. What is l rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-20))\/((-8)\/20). Suppose k*q + 2*q = 64. What is the smallest common multiple of q and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 18 = 7*h + 5*v, h - v + 6 = 0. Let q(o) = 3 - 12*o**3 - 3 - 2*o - o**2 + 13*o**3. Calculate q(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/7, -0.3, 5, 0.4, 390?\nAnswer: 390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18834*u**3*x**3 - 14*u**3*x + 10*u**3 - 26*u**2*x**2 - u**2 + 2527*u - x**3 wrt x?\nAnswer: -113004*u**3*x - 52*u**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-1\/11)*f))\/((f*f**(-6))\/f))\/(f**(-1\/3))**(-29))**5 assuming f is positive.\nAnswer: f**(-755\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 0 + 1\/4*o**2 - o - 1\/24*o**4 + 1\/8*o**3. Factor l(p).\nAnswer: -(p - 2)*(2*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-7 + 7 + -7) - 0 - 1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*o = -2179 - 2029, 4*s - 3*o = 4243. Suppose -2*z + s = 5*v, 5*z + v = 2*z + 1566. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = -2*j, 2*h + j + 4*j - 4 = 0. Let s be ((-6)\/10)\/(4\/(-20)). Let r be h*s - 12\/6. Put -4, 0, r in decreasing order.\nAnswer: r, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -485 in 1\/5, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from xsxsxrmxdsyd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-4\/25)*o*o*o*(o\/((o*o**(-10\/3)*o)\/o)*o)\/o*o*o*((o**28\/o)\/o*o)\/o**(-1\/10) assuming o is positive.\nAnswer: o**(5441\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -d1 (base 14) in base 2?\nAnswer: -10110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 4, r: 16}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0780895991 to four dps.\nAnswer: 0.0781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 10. Let o = v - -3. Which is the second biggest value? (a) -0.4 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -180 + 179. Let j be 64\/56 + b - 103\/770. Is 0 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*c**2 + 58*a**2*c*s + 7*a*c**2*s + 3*a*c**2 - 2*c**2*s + 2*c**2 wrt a?\nAnswer: 6*a*c**2 + 116*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 552 + 247 = -245 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/3))**(-20))**(3\/14)\/((h*h*(h\/h**1)\/h)**(-20)\/(h**(-1\/3)*h)**(-2\/43)) assuming h is positive.\nAnswer: h**(11582\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1375*i**3 + 2*i + 2756*i**3 - 2*i - 1352*i**3.\nAnswer: 29*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 0*o**4 - 69 + 104\/5*o**5 + 0*o**3 - 17*o**2 + 0*o. What is the second derivative of m(d) wrt d?\nAnswer: 1248*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88785 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 12:51 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**3 - 40*t**4 + 2*t**2 + t - 3 + 41*t**4 + 0*t as n*t + h*t**4 + l*t**2 + v + j*t**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 7:06 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 + 81 + u - 38)*(2*u + u - 4*u) in the form k*u**2 + w + l*u and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11610433 and -56?\nAnswer: -650184248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-67900)\/4620)\/97 - 4\/(-44)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390608 is divided by 129953?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -358*m. Let l(j) = 538*j. Determine l(i(y)).\nAnswer: -192604*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*z + 6004, -5*z = h - 5*h - 8005. Round h to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -3655.\nAnswer: 18275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 90*c**2 - c - 1. Let s(p) = -p**3 + 3*p**2 + 4*p + 2. Let j be s(4). Let v be z(j). Let t = v + -179. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 5*i. Let w(u) = -2*u**2 - 11*u - 1. Let h(z) = 13*t(z) + 6*w(z). Let h(x) = 0. What is x?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxls when four letters picked without replacement from vsvsskksxsvklxx?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18245?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175234 is divided by 401?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 1 - -170)*1 - -2. Let u = m + -2. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 8. Suppose -s - 4*y + 15 = -13, -5*y + 101 = g*s. Is s\/10*(-15)\/(-3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32.12017 years?\nAnswer: 385.44204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2773981 - -5707.51.\nAnswer: 2779688.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012653 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-20) - (28 - 28).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -45. Solve -3*f - 5 = -5*a - 8*f, 5*a = 3*f - l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*a = -25*a + 56*a + 2760 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**2\/2 - 155*f. Let t(l) = 2*l - 1. Calculate 2*b(a) - t(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 162430 at least -3\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4\/15 - 62*i**3\/15 + 638*i**2\/15 - 726*i\/5 = 0.\nAnswer: 0, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12828, -2, 2, 5 in decreasing order.\nAnswer: 12828, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 443 - 432. Let s(j) = 685*j + 96. Is s(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.8971?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*j - 2112 = 32*j. Calculate the remainder when j is divided by 36.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*4 + -4)**2.\nAnswer: -384*sqrt(13) + 29968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bssb when four letters picked without replacement from ssbsssbsssssssssss?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 30*s**2 + 121*s + 721. Calculate h(-33).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, b: 1, x: 2, s: 6, z: 3}. Give prob of picking 2 z.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 6*g - 3. Let c(z) = -7*z**2 - 17*z + 8. Give -3*c(j) - 8*n(j).\nAnswer: 5*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 1:54 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4819786 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -5\/307, -2\/5 in decreasing order.\nAnswer: -5\/307, -2\/5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 + -1.2. Let f = -67 - -203\/3. Let h = 0 - -0.3. What is the third smallest value in h, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 37*g**2 - 235*g + 96. Determine o(29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(4\/1) - -4. Suppose -4*z + t = 24, 0*z = -3*z - q*t - 18. Is (958\/z)\/(6 + 889\/(-147)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 9:21 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3\/2 - 606285*m**2 = 0.\nAnswer: -404190, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 + (-49)\/(-196). Let i be (-6)\/(-4) + 0\/(-2). Are j and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 11 = 8*w. Suppose 4*f + w + 13 = 0. Let u = -6 + 3. Which is greater: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-35)\/(-10)*-102*(-2 + (-24)\/(-18))?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.29999878 + 15.3. What is g rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -5*a**3 + 11*a**2\/2 + 24. What is the second derivative of u(k) wrt k?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/(-6))\/((-1)\/18). Suppose y = 4*q - 407. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -j - 2. Let c(u) = u**2 - 12*u + 2. Let f be c(13). Solve g = j*g - f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -y + 3. 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: What is the product of 14 and -35906032?\nAnswer: -502684448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(12) - sqrt(768)*-3))**2.\nAnswer: 67500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 10:27 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**3 - 6*s**2 + 12*s - 1. Let k(l) = l**3 - l**2 + l. Calculate -d(o) + 4*k(o).\nAnswer: -o**3 + 2*o**2 - 8*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5e (base 16) in base 6?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6.000123 years?\nAnswer: 0.6000123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-26) - 152\/(-1976)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -17 - 8. Sort -3, -4, k in increasing order.\nAnswer: k, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1612891 is divided by 1612801?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10755 is divided by 1725.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(3\/2)*k)\/k**6)**21 assuming k is positive.\nAnswer: k**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n - 5. Let y be t(2). Let p(l) = -11*l + 7. Let v be p(5). Let m be y\/(-2)*v\/(-30). What is the third smallest value in 0, m, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1867 divided by 1\nAnswer: 1867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 85294646 to the power of 1\/2, to the nearest integer?\nAnswer: 9236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-6))\/(9\/108). Suppose 3*s + r = 2*s + 32, 3*s - 99 = -v*r. What is the remainder when s is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 9:34 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**3 - 52673*z**2 - 158026*z - 105352 = 0.\nAnswer: -2, -1, 52676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from nxddr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252876 and 841299?\nAnswer: 4863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -509, -26, -5 in increasing order.\nAnswer: -509, -26, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -38. Calculate the greatest common factor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1024980 and 49711530?\nAnswer: 99423060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 9 + 53 = 0. Suppose -a = -3*i - 7, -a + y = a + 2*i. Calculate the least common multiple of a and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325\/268 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3)*(-27)\/((-12)\/4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-48)\/30)\/(1\/(-10)). Suppose -3*k - 2*p - 1 - x = 0, 5*k + 27 = -3*p. What is the second biggest value in -2, k, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5968459 times 14?\nAnswer: -83558426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 2. Let d = -0.3 - -1.3. Which is smaller: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1169056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -527453e - 1?\nAnswer: -5274540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j + 2. Give i(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 741 - 738. Solve b*p = 2 + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 c, 1 j, and 1 s when four letters picked without replacement from sxxcsmxxcjmsxssqx?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a + 1148209 - 58*a - 1148209 + 18*a + 30*a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.1 + 23. Let c = -12.984 + 11.9. Let v = c - i. Round v to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (184*y**4 - 351*y**4 + 2*y + 203*y**4)*(-2*y + 0*y - 8*y).\nAnswer: -360*y**5 - 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 786*b - 15 = 789*b, 3*b = 5*u - 15. Let i = -0.08 + 4.08. Let t = -71 - -352\/5. What is the nearest to u in 2\/3, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24862, 24863, 24864?\n\"Answer: s + 24861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -12*p - 10*p + 0*p. Let j(a) = -3*a. Give j(q(c)).\nAnswer: 66*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 6:17 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 520, 509, 490, 463, 428, 385, 334?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14863 - 439493 = -54*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59978429 is divided by 257418.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9 + (-17529)\/30789. Let h = 2\/311 - b. Suppose 2*t + 4*l + 1 - 7 = 0, 4*l = 2*t + 10. Which is bigger: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-902 + 482 - 2*s + 514)*(9 - 9 + 7*s) to i + f*s**2 + k*s and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -334 - -610. What are the prime factors of z?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 - 268 + 150 = -103*m. Solve 0 = r - m*a + 23, -3*a - 9 = -r - 27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18300475?\nAnswer: 5, 757, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + 67. Let l(t) = -t + 3. Let w(a) = -4*l(a) + x(a). What is the remainder when w(19) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**3 - 27*f**2 + 6*f + 6. Let p(j) = j**3 - j**2 + j + 1. Let z(c) = g(c) - 6*p(c). Factor z(k).\nAnswer: 3*k**2*(k - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a day in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294 - 12*t**2 + 294.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32645 is divided by 298?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 161*i**2 + 4*i + 1. Let l(j) = 163*j**2 + 3*j + 1. Calculate -6*f(m) + 7*l(m).\nAnswer: 175*m**2 - 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 8:25 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100 + 10002025?\nAnswer: 10002125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*b = -16 + 6, b - 2 = -2*u. Let t be (-2 - (-3)\/u) + 6\/10. Is t > 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439347744 a multiple of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 4.959?\nAnswer: -1.9836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -258700 + 3?\nAnswer: -258686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.2, 1, -0.3, -4, -11 in ascending order.\nAnswer: -11, -10, -4, -0.3, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142350 + 142553.994. Let b = g - 205. Let a = -0.603 - b. Round a to 2 dps.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.03 - -2. Let x = p + -0.37. Which is the second smallest value? (a) 0.3 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 5. Suppose 0 = 3*o + 23 - 56. Let m(y) = 4*y - 15. Let w(t) = o*a(t) - 4*m(t). Give w(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1)\/2*-8) - (-348)\/4176?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 12760*f + 71. What is the units digit of t(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 3*m**7\/5 + 7*m**3\/6 + 69*m**2. Differentiate g(k) with respect to k.\nAnswer: 504*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1208, 1150, 1004, 728, 280?\n\"Answer: -7*x**3 - 2*x**2 - 3*x + 1220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/9))**34 assuming p is positive.\nAnswer: p**(136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-3))\/c**(1\/2)*(c\/c**(2\/9))**(-1\/4) assuming c is positive.\nAnswer: c**(-61\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 65, 134, 205, 278, 353, 430, 509?\n\"Answer: z**2 + 66*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 269, 537, 805?\n\"Answer: 268*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-11)\/(396\/(-492)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 33312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 1187, 3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 1358 = 3*y + 8863, -2*j + 5*y - 5117 = 0. Let n = -1417 - j. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-37)\/(-2 + -2 - -3) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13044025?\nAnswer: 5, 31, 16831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**4\/4 + 7*f**3\/3 - 9*f**2\/2 - 4*f - 151. What is w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-24)\/(m**(2\/3)\/(m\/(m*m**(4\/5)))) assuming m is positive.\nAnswer: m**(-382\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/15 - 4*t**3\/5 - 16*t**2\/5 - 2*t + 50. Let b(w) = 0. Calculate w.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11388244853 + 4.\nAnswer: 11388244857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 4:32 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 26*z + 282. Let a be v(-8). Solve -14*i + a*i = 5*w + 25, -w - 5*i = 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*o = -100 - 2, -4*o - 12 = 0. Suppose 101 + z = -u. Let p = -30 - u. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 25 + 76 = 0. What is the remainder when 10 is divided by (-7)\/28 + h\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -475571.27.\nAnswer: 1426713.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45 * 0.117.\nAnswer: -5.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (78\/5)\/(25\/10*224\/1400)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9923 + -5737. Calculate the remainder when k is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -x + 2*q - 5, -12 = -4*x + q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1031, 2063, 3093, 4121, 5147?\n\"Answer: -x**2 + 1035*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n**3 - 4*n**3 - 4*n**3 + 14*n**3 + 19*n**3 - 12*n**3 + (0 + 0 + 2*n**2)*(2 + n - 2).\nAnswer: 21*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**6\/120 + m**5\/12 - 19*m**4\/24 - 7*m**3\/3 - 33*m**2. List the prime factors of w(-7).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(130) - (sqrt(130) - 6*(sqrt(130)*2 + sqrt(130)))))\/(6*2*4*sqrt(10)))**2.\nAnswer: 117\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-2)*(-940)\/1175.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2 - 15*a + 31. Calculate z(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 5, 14, 5\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2315725 divided by -92629.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 1*(1 - -161). Suppose 550*o = 680*o + 20930. Is g greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 2:05 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 + 28*a**3 - 4*a**2 - 28*a.\nAnswer: 4*a*(a - 1)*(a + 1)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3939520856 to the power of 1\/2, to the nearest integer?\nAnswer: 62766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.04 times 0.844?\nAnswer: -4.25376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Find the third derivative of -2*v**2 - 3*v**4 - v**6 + 3*v**4 + x*v**6 wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 + 8 + 2*3. Suppose 3*u - 5 = -2*j + 5, -3*u = j - x. Suppose -j*m = -64 - 56. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 2*m**2 - 9*m - 3. Let k be s(3). Let g(q) = -q**2 + 16*q - 11. List the prime factors of g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 45*i**3 - 4*i**2 + 28. Let r(a) = -45*a**3 + 3*a**2 - 29. Let u(f) = -4*r(f) - 3*t(f). What is the derivative of u(d) wrt d?\nAnswer: 135*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Suppose -3*t - b = 1. Find the common denominator of -67\/2 and 484\/(-80) - 1*t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77833 (base 10) to base 11.\nAnswer: 53528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 650 - 646. Solve -20 = -v*h - 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -100612 and -0.0731?\nAnswer: 100611.9269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1577 is divided by 72.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 i when four letters picked without replacement from ikkiiii?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -102*f. Let x(h) = -3*h. Give x(b(m)).\nAnswer: 306*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 358 or 59?\nAnswer: 358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - 2) - (12 - 6) - -15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -148, -351, -666, -1111, -1704, -2463?\nAnswer: -3406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*r = -14, r + 2*r = 3*m + 18. Let j = m + 9. Suppose 0 = 4*n + 5*k + 13, 2*k + 4 = j*n - 6*n. Solve -n*q = 9, 3*s + 2*q - 2 = 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2627, -2494, -2361, -2228?\nAnswer: -2095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 17*l**2 - 22*l + 9. Let f be m(-17). Suppose -3*r + 3*d - 4*d + f = 0, -2*d - 368 = -3*r. Does 30 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w**3 - 6753*w + 36*w**3 + 6754*w - 16*w**3.\nAnswer: -3*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 4:28 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 56 + 4 - (-68 + 85)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*a**3 + 18445*a + 4835*a + 6426*a**2 + 2*a**4 + 196*a**3 - 4185*a + 12117*a.\nAnswer: 2*a*(a + 6)*(a + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/14 and (-18)\/81 - 482\/(-36).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {o: 1, q: 1, l: 1, g: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.1 + 15.4. Which is the closest to 2\/7? (a) 0.4 (b) o (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.03 - -0.03. Let k = -442 - -2214\/5. Let u be (-8)\/(-5) - (-1 + 3). Which is the closest to u? (a) 0 (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17208 + -17214. Let o(z) = 4*z**2 - 9*z + 6. Let y(c) = -5*c**2 + 9*c - 7. What is k*o(l) - 5*y(l)?\nAnswer: l**2 + 9*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3, -2*r + 5*c = -77. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(36\/(-16))*-12. Let q(h) = -h**2 - 18*h + 8. Is q(m) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15319419 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 418995778 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-1 - -1) + 6. Suppose -4*x + 0 + 1 = 5*n, 104*n = -3*x + 100*n. Solve -h*u = -x*u - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1884 is divided by 481.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3)*u*u**(-22) assuming u is positive.\nAnswer: u**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312.5145 minutes to nanoseconds.\nAnswer: 18750870000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + g + 10, -s + 7 = -3*g - 1. Find the third derivative of 165*p**2 - 146*p**s + 0*p**5 - 2*p**5 wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5107891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315880 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16728\/7 or 2391?\nAnswer: 16728\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/y**(-5))\/y*y)\/y)\/(y**(-4)*y*y))\/((y**(2\/27)*y)\/y**(-2\/11)))**(-13\/4) assuming y is positive.\nAnswer: y**(-11089\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 103476 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4509)\/225 + 20 - 3798\/50.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 - 4*n**2 + 5*n + 39. Let x be l(-5). Solve -x*t - 5 = -284*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 1021.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 7. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -s + 5*g + 65, 5*s + 4*g + 64 = 0. Let f be (-1 - -1)*6\/s. Sort f, -4, -5 in descending order.\nAnswer: f, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + t + 52 + 44 - 196 + 56.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4, -0.06, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*h**2 - 6 + 62*h**2 - 101*h**2.\nAnswer: 9*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 9*a**2\/2 + 11*a - 101. Let c(i) be the second derivative of -i**3\/2 - 2*i**2 + i. Calculate 11*c(g) + 4*k(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = -m. Let j(o) = -o**3 - 2*o - 3. Let r(f) = -f. Let s be r(-9). Let l(g) = -3*g + 9 + 2*g - s. Determine m*j(h) - l(h).\nAnswer: -h**3 - h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 16, -8, -52, -122, -224, -364?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -58, -80, -102, -124, -146, -168?\n\"Answer: -22*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17732445 to the nearest integer?\nAnswer: 4211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**2*j*z**3 - h**2*j*z - 3820*h*j*z**3 + 4*j*z**3 + 429*j*z**2 + 56*j*z wrt z?\nAnswer: -24*h**2*j - 22920*h*j + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (17 - 7)) + 11 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3 + w - 2*w + 2 - 3. Let f be l(-4). Let q(j) = j + 7. Give q(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482*a - 129 + 971*a + 162 - 488*a.\nAnswer: a + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 21377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2209*x**4\/10 + 106516523*x**3 - 128403594803373*x**2\/10 - 7649604213622*x - 5696520814082\/5 = 0.\nAnswer: -14\/47, 241097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.12 and 3?\nAnswer: -18.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2455412 (base 7) to base 4.\nAnswer: -1031100203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = -a. Suppose -o + 6*o - a = 0. Sort -4, o, 8 in increasing order.\nAnswer: -4, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 + -11 + 7 + -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75367*y**3 - 14 + y**2 + 4*y + y**4 + 13 - 75373*y**3 to s*y**4 + r*y**3 + t*y + p*y**2 + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 112?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*1*sqrt(70)*-1)\/(sqrt(90) - sqrt(90)*1 - (sqrt(250) - 4*sqrt(250))).\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3967, 6844, 9723, 12604, 15487, 18372?\nAnswer: 21259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 5:40 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106596.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 14 = -1. Let x be (y\/(-5))\/(1 + 0). Is ((-2)\/((-2)\/23))\/x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*b - 23, -4*c - 1 + 5 = 0. Suppose -4*g - 2*l = 16, -4*l - 25 = b*g - 2. Let y be -4 - (9 - -3)\/g. Which is smaller: y or 2\/17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaaaaapaaaap?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 57, 128, 225, 348, 497, 672?\n\"Answer: 13*k**2 + 6*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbvbbrbbllublvbubbub. What is prob of sequence lb?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 39*v - 12. Let j be c(5). Let w = j - 4574\/25. Suppose -3*u = 5*u + 5*u. Is u at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 + 145*k - 3 - 55*k - 19*k**2 - 42*k - 48*k.\nAnswer: -15*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 19037*r + 285103. Determine j(15).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -0.1, 1\/15, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*r - 20*r - 17*r**2 - 17*r wrt r?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 8*a - 9. Let o be w(6). Suppose g = o*g - 106. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 19*n**2 + 3*n - 7. Let m(y) = -39*y**2 - 7*y + 15. What is 13*i(z) + 6*m(z)?\nAnswer: 13*z**2 - 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-15))\/(-4)*(-50)\/4*(-3454)\/(-785).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 2 - (-198)\/11. Suppose -2*l = h + 27. List the prime factors of (-133)\/38*l\/1.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1293 - 1239. Which is greater: 7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = 4*k - 5*c, 2*k - 9 = c. Let s be 7434\/27 - 2\/k. Suppose 0*b = 4*b + 4*r - 284, -4*b - r = -s. What is b rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h - 2. Let m(f) = -2*f + 1. Let d(u) = 5*m(u) + 3*v(u). What is d(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.239 times -301\nAnswer: -974.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 - 91. Suppose -b*u - 3*k + 29 = 0, -k - k = -2*u + 4. Let s = u - -35\/2. Find the common denominator of s and -113\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-7) - (-304)\/56. Let o = 4 + -4. Put -5, u, o in descending order.\nAnswer: u, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -57*f + 800. Determine p(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13539 + 0.33539. Sort 0.5, z, -3, -0.186 in descending order.\nAnswer: 0.5, z, -0.186, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 281, 304, 365, 482, 673, 956, 1349, 1870?\nAnswer: 2537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5495135?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -51742.1012 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 - 29*r + 1682. Is d(31) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.18 and -0.1105.\nAnswer: -0.2905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/9)\/7 - 20\/(-50). Let n(m) be the first derivative of v*m**3 + 1\/5*m**2 + 0*m - 15. Factor n(z).\nAnswer: z*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, p: 3, h: 2, g: 2}. What is prob of sequence pkg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*v**3 + 51*v**3 + 48*v**3 - 144*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15006, 119927, 404684, 959193, 1873370, 3237131, 5140392?\nAnswer: 7673069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 86*s + 10. Let p be n(5). Let i be p\/(-66)*(-24)\/5. Suppose -z = -0*z - i. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 18 = -4*g - 51, -5*z - 4*g = -17. Solve 5*a = w + 14, 3*a + 1 + 13 = -z*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 123750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23656558 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 28*s**2 - 21*s**2 + 32.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 71 + 1\/2*u**2 + 2*u. Give r(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694*o**2 + 1472630*o - 1472630*o.\nAnswer: 694*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**7\/105 - u**6\/60 - 43*u**5\/30 + 85*u**4\/12 - 14*u**3 - 1714*u**2. Factor a(f).\nAnswer: 2*(f - 6)*(f - 1)**2*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13.6? (a) 2\/17 (b) 4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 7*k + 53, 253*k - 31 = c + 258*k for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - g. Let d be v(-1). Let k be (-2 + d)*(0 + 1). What is the least common multiple of 40\/7 - k\/7 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 66*q**2 + 68*q + 953. Determine d(-65).\nAnswer: 758","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h + 4. Let i(u) = 2*u + 2. Let l(p) = p + 1. Let f(n) = -6*i(n) + 11*l(n). Calculate -5*f(m) - x(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -249*s**2 - 32622*s - 397. Calculate w(-131).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*y - 101*y + 4*y = -60900. What is the remainder when 1753 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b**3*c**3 - 2*b**3*c*n + 59*b**2*c**3 + 8*b**2 - 970832*b*c**3*n with respect to n.\nAnswer: -2*b**3*c - 970832*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - (15 + 9)) + -91.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 + 0*u**2 + 4*u**2 + (-537*u + 275*u - 184*u)*(2*u + 4 - 4) + (2*u + u - 2*u)*(-2*u + 2*u - 4*u).\nAnswer: -895*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -626*t + 1564*t - 222*t in the form v + h*t and give h.\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (297 + -33)\/(-3 + 5) is divided by 40.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*k + 3*p - 78, -5*k - 55 = -2*p - 84 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(-2\/35)\/c)*c*c*c*c**(-10) assuming c is positive.\nAnswer: c**(-173\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 123*b + 126.\nAnswer: -3*(b - 42)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53741 is divided by 17884?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2861 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + q + 58. Let j be v(0). Let g = -41 + j. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1585706 is divided by 713.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0039647419 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, 0.5, 38, -21\/4 in descending order.\nAnswer: 38, 1.5, 0.5, -21\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -q - b, 16 - 1 = -3*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myd when three letters picked without replacement from mxxyxdxttyxxxsxxxx.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(12\/4 + -1). Suppose x = 5*o + r - 902, -10*o + 13*o - 3*r - 552 = 0. What are the prime factors of o?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -11\/20, 0.1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -z - 5. Let b be (1 - (z - 7)) + 104. Let p = -8 - -20. Calculate the highest common factor of b and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-40)\/22 - (-344)\/(-440). Let f = -1.4 + -2. Let w = -3 - f. What is the third smallest value in z, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/2337426197?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -35*a + 68*a - 17*a + 1 - 32*a - 37*a. What is b(2)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g + 8. Let d(j) = 2*j - 3. Let h(u) = -3*a(u) - 5*d(u). Determine h(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94 + -93. Let b be (-3)\/(3\/(-4)) - (-10850)\/(-2675). Let a = -256\/749 - b. Put a, t, 3, 0 in increasing order.\nAnswer: a, 0, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 31*v - 16. Let t(b) = -94*b + 45. Determine -11*m(l) - 4*t(l).\nAnswer: 35*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r - 3. Suppose -10 = 3*z - b + 5*b, -2*z = -4*b + 20. Let w(y) be the first derivative of 7*y**2\/2 - 2*y + 29. What is z*w(k) + 5*i(k)?\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = -4*u - 53, 3*u - 95 = -2*h. Calculate the remainder when h is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 55853*u - 55838*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:56 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4339, -7468, -10595, -13720, -16843, -19964, -23083?\n\"Answer: y**2 - 3132*y - 1208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 6016 = i. Which is smaller: 377 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 15)*(-p + p + p) + 4*p - 6 + 6 + (4 - 4 - 1)*(-4*p - p - 2*p).\nAnswer: 25*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**2 + 3 + 5 + 3*n - 4. Let h(g) = 11*g**2 - 8*g - 11. Let k be -1 + 1 - 69\/(-23). Let o = -2025 + 2033. Calculate k*h(q) + o*j(q).\nAnswer: q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 3*g**2 - 2*g - 2. Let q be r(4). Let l(y) be the second derivative of y**3\/6 + 3*y**2 + 265*y. Calculate l(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -110a09 + 21?\nAnswer: -110998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c + 3*c - 2 - 2*c**2 + 0*c**2 - c**3. Let s be g(-2). Solve -5*a + w = 12, s = -2*w + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**4\/12 - 7*z**3\/6 + 3*z**2 + 4*z. Give o(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -115.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 4*u + 40 = 4*f, -2*f - 5*u = -29. Suppose -3*x = -13 - 2. Solve 0 = -2*n + 5*i - 1 - 7, -f = -x*n - i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -4*b + 624. What is the units digit of 2\/5 + b\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71.2 - 71. Put -0.5, g, -0.3, -3 in increasing order.\nAnswer: -3, -0.5, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 26 - 5*m**3 + 4*m**3 - 4*m**2 + 17*m**2 - 14*m. Let y be a(12). Calculate the highest common factor of 3 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 2 + 21)*(-3 - 6*j - 7*j - 18*j - 1).\nAnswer: 558*j + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -901*a + 320 - 100 + 62 + 173*a - 326*a.\nAnswer: -1054*a + 282","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2. Let a(w) = -2*w**2 - 45. Calculate h(a(d)).\nAnswer: -16*d**4 - 720*d**2 - 8100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 289*m + 2*m**2 - 335*m + 95 + 74*m. Calculate b(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/10 and 34\/123?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 10*x)*(3*x - 4*x + 5425*x**3 - 5366*x**3).\nAnswer: 590*x**4 - 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*n - 473252 = -35*n + 27*n. What are the prime factors of n?\nAnswer: 13, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 2*p + 12, -2*p - 3*s = 16 - 4 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10087057*z + 11007964 wrt z?\nAnswer: 10087057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n - 140515 + 70259 + 70256 - 498*n.\nAnswer: -487*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 2) + 2*1. Let h = -677\/8775 + 1\/325. Which is bigger: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 20, 36, 58, 86, 120, 160?\n\"Answer: 3*a**2 + a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*q - 45 - 15*q - 7*q + 8*q - 5*q**2.\nAnswer: -5*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 513498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + 475*f**3 - 5*f**2 + 199*f**3)*(-4*f + 6*f + 0*f)*(4 + 4*f - 4).\nAnswer: 5392*f**5 - 16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-269)\/(-538))\/((-2)\/20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 531 by 9.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65 and 8.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 50 (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, s: 7, q: 2}. Give prob of picking 2 s.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173323194 to the power of 1\/4, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -3 + 0)*-5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 + m**2 + 4*m - 7. Let n be j(4). Let v = n - 142. Let i(k) = k**3 - 12*k**2 + 11*k + 6. Determine i(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) 2 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6080719, -6080721, -6080723, -6080725?\nAnswer: -6080727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 less than 0.35?\nAnswer: -12.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 11777238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595 a factor of 1271661585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 44639?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*t + 15 = 6*i, i - 4*t = 26. Let j be (2\/i)\/((-17)\/(-204)). Sort 5, 17, j in increasing order.\nAnswer: j, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from zzzzzzvzzvzzvzz.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 80334*d - 537795963.\nAnswer: -3*(d - 13389)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)*1*-6*-5)\/(sqrt(567)*1 + -3*sqrt(28))*1*-2.\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 68\/6 - 1\/3. Let r = 7 + l. Suppose -3*g + j = -r, 0*g = g - 5*j - 6. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 s, 1 f, and 1 l when four letters picked without replacement from {g: 1, f: 3, r: 2, l: 1, s: 12}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4*b + 4 = 0, -4*g + 2 = -0*g - 2*b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.025 + -2.975. Let b be ((-1)\/(-3))\/((-7)\/3). Put -4, b, j in ascending order.\nAnswer: -4, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njjjjjzzltnnjjzjntj. What is prob of picking 1 z and 3 j?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142 + 145. Which is the third smallest value? (a) 8 (b) h (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2)*(-2586189 - ((-77)\/7 + -4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*l - 3653, -2*p = 15*l - 10*l - 9085. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11121 (base 3) to base 8.\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-2*244182\/(-12). Let a = p + 18303. What is a rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017475777 to 5 decimal places.\nAnswer: -0.01748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m + 25*m - 9*m - m**2 to o*m**2 + s + r*m and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 9:46 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f - 224 = 45*f. Let p = f + 67. Suppose -10*h + p*h - 449 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/29950 and 26\/11675.\nAnswer: 13986650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 3*i - i - 6*i in the form n*i + w and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 52, 120, 216?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)\/(l\/(l*l**(5\/2))) assuming l is positive.\nAnswer: l**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -6927 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -423.1 - -392. What is t rounded to 0 dps?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*f*z + 4*f - 2*z - 10 wrt f.\nAnswer: -13*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1234 - 1126. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -40*z**3 - 5*z + 3. Let h be f(-3). Let b = h - 151. What are the prime factors of b?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**4\/4 - 13*f**2. Let v(q) = q + 17. Let a be v(-8). Let r(o) = -5*o**2 + 16*o**2 - a*o**2. Give r(z(n)).\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -572 + 527. Let t(v) = -2*v + 48. Let a be t(q). What is the highest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 4*w. Let j(t) = 3*t**2 - 5*t + 1. Determine -3*j(n) + 4*z(n).\nAnswer: -n**2 - n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 135, 124, 99, 54, -17, -120, -261?\n\"Answer: -n**3 - n**2 - n + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 6154\nAnswer: -2461.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 2*s - 6. Let p(i) = -381*i**2 + 1016*i - 3048. Determine 3*p(b) - 1524*w(b).\nAnswer: 381*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-16) + -9*(-856)\/4032. Put 0.5, f, -1 in increasing order.\nAnswer: -1, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 608 - -16*8\/16. Let v = -612 + z. Solve -5*k = 10, -2*c + 2*k - v*k = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -28. Suppose c - 54 = -2*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*y**2 + 46*y - 126*y**2 + y.\nAnswer: 2*y**2 + 47*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncfcfccfnfnf. What is prob of picking 1 f, 2 c, and 1 n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/32754 and -85\/1080882.\nAnswer: 1080882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -136511\nAnswer: 136510.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -766*j**2 + 15*j + 2. Let i be q(-1). Are i and -779 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*f**3*v**3 - 17*f**3*v - 4*f**2*v**2 - 3*v wrt v.\nAnswer: -150*f**3*v - 8*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*-6*1)*-6*2)\/(-2*(sqrt(324)*3*-6 + sqrt(324))).\nAnswer: -7*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*((-13764)\/(-444) + (-41)\/1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**6\/60 - d**5\/5 - d**4\/6 - d**3\/2 + 44*d**2 + 3. Let i(n) = 3*n**3 - 13*n**2 - 5*n - 4. Determine 4*i(b) - 5*l(b).\nAnswer: 2*b**3 + 8*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**3 - 613556*m**2 - 6748632*m = 0?\nAnswer: -153378, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -221*r - 30. Let w(g) = 110*g + 15. Let v(h) = -3*t(h) - 7*w(h). Does 17 divide v(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d**2 + 0*d**3 + d**3 + 0*d**2)*(-1 - 24 + 0) as f*d**3 + q*d + n*d**2 + i and give n.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 13750 = -3*p, -9*p + 4*b - 22906 = -14*p. Calculate the greatest common divisor of 237 and p.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -1. Let w = t + 4.15. Let g = w - 0.05. Sort -0.5, -0.1, g in descending order.\nAnswer: g, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*n = -24, 3*y + 730*n - 44 = 735*n. Solve y*o - 15 - 17 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38220051761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/4*8\/3. Suppose -2*q - 48759 = 3*u + 164235, -354988 = 5*u + g*q. Round u to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i - 15 + 3 + 180 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 20 (c) 97 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -29*-312\nAnswer: 9048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7634 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((87\/2)\/(-3))\/(11\/22). Let l = z - -125. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 504 - 2?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13047 + 13044. Suppose 0 = -g - g + 12. Sort g, 3, n in decreasing order.\nAnswer: g, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**3*l - 741917*k**3 + 3977*k**2*l - 136*k*l - 2 wrt k.\nAnswer: -12*l - 4451502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**9\/30240 + a**8\/6720 - a**5\/20 + a**2. Let d(y) be the third derivative of r(y). Find the third derivative of d(f) wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/b**3)*b*b*b)**(-40)\/(b**(2\/7))**(-2\/69))**(-16) assuming b is positive.\nAnswer: b**(2163776\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -11*q**3 + q**2 - q - 6. Let v(x) = -x**2 + x. Let i(h) = -v(h) - z(h). Differentiate i(y) wrt y.\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 + h. Let y(i) = -11*i**2 + 5*i - 66. Let m(q) = 4*l(q) + y(q). Calculate the least common multiple of m(-15) and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -33. Let z(n) = -c - 19*n + 4*n + 9 + 3 - n**2. Does 18 divide z(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 9*d + 13. Let a(s) = s**3 + 7*s**2 + 2*s + 7. Let l be a(-7). Let r be m(l). Which is smaller: r or 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12902112 divided by 108.\nAnswer: 119464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 865*i**5 + 1283024 - 13*i - 1283031 + 4*i wrt i.\nAnswer: 17300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10}. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 31\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41193 is divided by 41?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 7 = -4*z. Let o be ((-50)\/(-15))\/(2\/z). Which is greater: 6 or o?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194091.\nAnswer: 3, 31, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 30420884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n**2\/11 + 2760*n\/11 = 0 for n.\nAnswer: -460, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.53 and 5?\nAnswer: -102.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/60 + t**4\/8 + t**3 - 25*t**2 + 13*t. Determine f(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111096.\nAnswer: 2, 3, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 g when three letters picked without replacement from vrcvrrgccc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 105, 121, 139, 159, 181?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 433*q**4\/4 + 2*q**3 + 2*q**2 - 5*q + 7. Let n be d(-5). Round n to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 6, 0 = 4*v - 87*j + 85*j + 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7748 * 4\nAnswer: 30992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5632*v + 2824*v + 7 + 2816*v. Calculate a(-5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -172560131\/375 + 460160. Let q = k - -2\/125. What is the nearest to -1 in 8, q, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 6*c**2 - 4*c + 5. Let y be u(-5). Let p = -65.94 + -0.06. Let h = 65.84 + p. Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) 48\/13 (b) 0.13 (c) 3.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2958 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2959\/7 + -424. Which is the third biggest value? (a) 0 (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -614883 and -23.86?\nAnswer: 614859.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46727296 divided by -2?\nAnswer: -23363648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2748 and 20610?\nAnswer: 41220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -4, 29, -5.\nAnswer: -5, -4, 0, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -94*r - 4 + 95*r + 3. Let v(y) = -5*y**2 - y + 1. Let t be v(1). Let u(a) = -a + 3*a - 1 - 3*a + 2. Determine t*u(n) - 6*f(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134 + -135. Let x be 19\/(2\/g*(-1)\/2). What is the highest common divisor of 152 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201937?\nAnswer: 11, 109267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 4592*x - 4597*x = -33, -5 = -o - x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19783576711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2, 9*a - 30 = 6*a - 6*w. Solve 45*h - 165 = a*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 11 = -5*h - 4, 5*h + 15 = -4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/25)*(c*c\/(c*c**0)*c)\/c)\/((c**(-6\/11)\/c)\/c**3)*(c**(2\/7))**15\/((c*(c**(-6)\/c)\/c)\/((c\/((c*(c*c**(-3))\/c*c)\/c)*c)\/c)) assuming c is positive.\nAnswer: c**(38329\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.3 - 14. Let a = s + -0.3. Suppose -m + 20 = 5*f, 10*f - 13*f + 5*m + 40 = 0. Sort f, a, -0.07 in increasing order.\nAnswer: -0.07, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22101102122 + 10?\nAnswer: -22101102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2176 and 256.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53712 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Let h = -19\/11 - -23\/11. What is the common denominator of r and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5 - 5*l**2 + 20*l**2 - 10*l**2. Let w(u) = 1. What is -d(j) - 5*w(j)?\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from nfkkaaayfa.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 88 + 0*j**5 + 0*j + 0*j**2 + 7\/6*j**6 + 1\/4*j**4 - 59\/3*j**3. What is the third derivative of v(w) wrt w?\nAnswer: 420*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24318940 and 25060?\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/23800*-204)\/(6\/(-20)).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -435 in -2\/7, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 67, 258, 577, 1024?\n\"Answer: 64*s**2 - s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.050309024941 and 0.38.\nAnswer: 0.430309024941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 11*d**2 - 13*d + 9. Let g be w(-12). Suppose -g = -4*l + 3. What is the third derivative of l*c**3 + c**2 + c**3 - 3*c**3 wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 + 180 = -3*y + 4*p, -3*y - 5*p - 10 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10*u**3 - 9*u**2 - 3*u + 15. Determine n(-2).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10\/7 - -136\/105. Let j = 3 + 1. Let h = -1 - j. Sort r, 0.5, h in descending order.\nAnswer: 0.5, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 34 + 86 + 57)*(-3*w**3 + 3*w**3 - w**3) to x*w**3 + d*w**2 + p + g*w**4 + q*w and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387*n + 143*n + 241*n.\nAnswer: 771*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + -4 + 6\/(-6). Suppose b*q - 236 = -4*v, -3*v - 45*q + 43*q = -179. Does 35 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -363, -882, -1625, -2592, -3783, -5198?\nAnswer: -6837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 9. Suppose -3*w + 3*d + 2*d - 84 = 0, 4*w = 2*d - 126. Let r(z) = 48*z - 232. Let s be r(4). Let b = w - s. Calculate q(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2139.2 + -0.7?\nAnswer: 2138.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(((-2)\/(-2))\/(-1)). Let x = -18 - o. Solve 4*z - 20 = -2*l, -x*l + 3*z - 4 = z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -11847*h + 15720972. Give b(1327).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49858 * 123.\nAnswer: 6132534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3103580567.\nAnswer: 41, 75697087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -9\/4 (b) -109 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**3 - 911. Let f(b) = 6*b**3 - 910. Give 3*f(u) - 4*j(u).\nAnswer: -2*u**3 + 914","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7114, 6994, 6874, 6754, 6634?\nAnswer: 6514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21319840 is divided by 5329956?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11832464 by -3643.\nAnswer: 3248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 598*g - 593*g - 21, o + 9*g - 30 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (2745\/(-30) + 14)\/(6\/(-864))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 8*d**2 - 15*d - 14. Let a(v) = -v**3 - v**2 - v. Let f(q) = -2*a(q) - t(q). Let s be f(-7). Calculate the highest common divisor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (5 - (3 - 6))) + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 18*j**2 - 624*j + 5. Let z(s) = -15*s**2 + 628*s - 4. What is 4*i(b) + 5*z(b)?\nAnswer: -3*b**2 + 644*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220646 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*f**2*n**2 - f**2*p**2 - f**2*p + 9*f*n**4 - 2*n**2*p**2 + 2*n*p + 193*p**2 wrt n.\nAnswer: 30*f**2 + 108*f*n**2 - 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13862589 is divided by 930.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*z. Suppose s + 2*a - 12 = z, 3*s = -3*a + 26 + 4. Let q = s + -6. Solve -11 + q = -3*r, 0 = 4*b + 3*r + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*o**4 + 79*o**3 - 35*o**2 + 163615*o wrt o.\nAnswer: -180*o**2 + 474*o - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 6*u**2 - 5*u + 1. Let s be d(5). Let a be s\/7 - (-180)\/(-35). Let v be (0\/a - 0)\/2. Solve 3*h + 5 - 2 = v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -500\/1391 - -22\/107. Which is the closest to 0.2? (a) 7 (b) y (c) -1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217 + -107. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b79 (base 16) to base 7.\nAnswer: -143133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6597669593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 j when three letters picked without replacement from jjcajadajjjjjj?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-131 + 134 - (-1 - 12)) + 5 + -1\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2828 is divided by 236.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -22966*b + 41. Let i(h) = -45927*h + 81. Let y(d) = -6*i(d) + 11*x(d). Is y(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -6*f**2 + 4\/5*f**5 + 0 - 43*f - 10\/3*f**4 - 2\/45*f**6 + 56\/9*f**3. Factor b(d).\nAnswer: -4*(d - 9)*(d - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1043 (base 6) to base 11\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = w - 5*k, 7*w - 2*w + 4*k - 11 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**4*j + a**4 + 137*a**2*j*p - 2*a*j*p - 32*a - 3*j*p + 3*j wrt a.\nAnswer: -12*a**2*j + 12*a**2 + 274*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.995 + 9.99504641. Round x to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n. Let c(h) be the first derivative of h**5\/30 + 11*h**3\/6 + 17*h**2 + 14. Let i(l) be the second derivative of c(l). What is i(m(v))?\nAnswer: 50*v**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**19*q*q\/q**(1\/31)*q assuming q is positive.\nAnswer: q**(681\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -809, -1625, -2437, -3245?\nAnswer: -4049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -232?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-20) + -2 - 5\/(-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1477.59115 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2630528 is divided by 25789.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 12, -3*u = -2*w + 3*w - 1165. What are the prime factors of u?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 5:34 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1109 * 4.\nAnswer: -4436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 times -4806415\nAnswer: 6728981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - 11 - (1 - 2). Let u(f) be the third derivative of f**4\/12 + 5*f**3\/6 + 84*f**2. Give u(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 + 26*o - 1748\/5.\nAnswer: -2*(o - 46)*(o - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2452 is divided by 224?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10457?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1560490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.008 + -0.108. Which is smaller: i or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 5)*(2*j - j + j + (-1 + 0 - 1)*(-j + 2*j - 2*j)) + (3 - 5 + 0)*(j - 4 + 4).\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24937895947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1324 times -0.0242\nAnswer: -32.0408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 11*f**2 - 29*f - 12. Suppose 66*y - 24*y - 35*y + 91 = 0. Give z(y).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00111045 to five dps.\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 0 (c) 1\/3 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 345241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445788?\nAnswer: 2, 3, 7, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 29, -5, 1.\nAnswer: -5, 1, 3, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/298 + 1335\/596. Let c(r) be the first derivative of 0*r**3 - 10 + 4*r - k*r**4 + 0*r**2. Find the first derivative of c(y) wrt y.\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.113 or 2\/7?\nAnswer: 0.113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21\/40 or 1.82?\nAnswer: 1.82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/sqrt(7) + 1 + sqrt(19) - (1*sqrt(228))\/sqrt(12).\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170 by -4.\nAnswer: 85\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61939 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccf when three letters picked without replacement from ffccc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5402098 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5\/7 - 3*a**4\/7 + 16*a**3\/7 + 52*a**2\/7 - 64\/7 = 0. What is a?\nAnswer: -4, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 - n**2 - 5. Let y(k) = -12*k**3 + 3*k**2 + 32*k + 40. What is -8*m(x) - y(x)?\nAnswer: -4*x**3 + 5*x**2 - 32*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1001122120201?\nAnswer: 1001122120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ussy when four letters picked without replacement from isyuyssyyy?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 0*j - 1\/24*j**4 + 0 + 20*j**2 + 1\/60*j**5 + 5\/6*j**3. Suppose -40*v = -43*v. Give l(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.28, 4926?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*sqrt(132)*-1 - (-2*sqrt(132) + sqrt(132))*-5)\/((sqrt(72) - -5*((sqrt(72) - sqrt(72)*2) + sqrt(72)))\/sqrt(6))*1.\nAnswer: 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2057 - 9*n - 925 - 1132.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*i - 5*q = 110*i - 247131, -4*q + 247128 = 4*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -331198743.000081 - -331198885. Let s = 77 - 219. Let c = s + d. Round c to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 11*c = -72, 2*r + c + 1466 - 1346 = 0 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, -22, 5, 70, 179, 338, 553?\n\"Answer: h**3 + 10*h**2 - 42*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-3) - 3)*2*-3. Suppose -18 = c*g + 5*d, -3*g + 2*d + 7 = -4. Calculate the remainder when 125 is divided by 1\/(-2) + ((-185)\/(-10))\/g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*m + 0 + 264\/7*m**2 + 2\/7*m**3.\nAnswer: 2*m*(m - 1)*(m + 133)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 7. Let g be (-1 + (2 - -1))\/v. Let h = 6.3 + -1.3. What is the second smallest value in h, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(32)\/sqrt(200))\/(sqrt(14)\/sqrt(175)) + -3)*-6)**2.\nAnswer: -864*sqrt(2) + 1476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 2*d + 518. Let x(z) = 3*z**2 - z. What is -o(i) - 2*x(i)?\nAnswer: -4*i**2 - 518","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-24) + 1 + (-50)\/(-12). Suppose b*r + r = 0. Suppose -5*y + 275 = -r*y. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2, 0.2, -2\/7, -7.7 in increasing order.\nAnswer: -7.7, -2\/7, 0.2, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -9) + (-2 - 421) + -4. What is the remainder when 30 is divided by (-9)\/(-24) + (-7)\/(168\/v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 6 = -2*b, -5*b - 24 = 30*p - 31*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c*(c*c\/((c*c**(-8\/3))\/c))\/c))*c*c*c**(-1\/10)*(c**1)**(-1\/13) assuming c is positive.\nAnswer: c**(2531\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 8. Let r(u) = -u + 7. Let g(b) = -2*r(b) + 3*w(b). Let p be g(6). What is the smallest value in 0.3, p, 4\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/30*120\/(-36). Suppose 2*p - 3*p + 11 = -s, 0 = 5*p - s - 35. Suppose 0 = u*b - p*b. What is the biggest value in b, -19\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -2. Let c be (-2 - -4)\/w - 1. What is the units digit of (c\/4)\/(2\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1716.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 3. Let m be y(-2). Suppose 0*n + n - 26 = 0. Let d = n - m. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*d - 194*d + 5*o - 2034 = 0, -3*o + 1524 = 3*d. What is the highest common factor of d and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 626 (base 7) to base 5\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19724997, 39449977, 59174957, 78899937, 98624917?\nAnswer: 118349897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3))**32\/(b*b*b*b**(-7\/2)*b*b**(1\/11)) assuming b is positive.\nAnswer: b**(-2125\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 5:23 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11475 and 7625350.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**2 - 30*d - 13*d - 7*d + 46*d + 2 - 1. Suppose 5*b - 6 - 19 = 0. Let x(n) = n + 1 + n - b*n - 5*n**2. Calculate 4*j(t) - 5*x(t).\nAnswer: t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -25, -3*z - 26 = -0*z - 4*x. Let q = 1 - z. Solve -q*d + 3 + 1 = 4*g, -24 = -4*g + 2*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683276871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:20 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 75381 + 69?\nAnswer: 7541a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*s = -51*s + 234 + 60. Factor -1\/2 - 1\/4*o**s - o**2 - 5\/4*o.\nAnswer: -(o + 1)**2*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 78*p - 390. Let c be n(5). Solve c = -3*i - i + 24 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -8, -11, -2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*50\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + -1)*4 + (sqrt(1377) - (sqrt(1377) - (sqrt(1377) + -1 + sqrt(1377) + 4))) - (4 + 1*1*sqrt(1377)))**2.\nAnswer: -450*sqrt(17) + 34450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/100 and -23\/2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6115 - -6121. What is the fifth smallest value in l, 1\/47, 0.3, -2, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 8*x**2 + 11*x + 3. Let s be g(-6). Let j = s - 107. What are the prime factors of j?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1330)\/(-6)*6*(-9)\/(-45). Is 272 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -174 (b) -0.4 (c) -33.5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63388\/1472 + 1 + -45)\/((-1)\/12)?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*u + 17 - 17)*(47*u**4 - 56*u**4 + 33*u**4).\nAnswer: -1848*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + -84. Let u = o - -34. Suppose 0 = 2*t - 3*t. What is the third biggest value in 2, t, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*m - 9, -n - 3*m = -19 + 8. Let g be (-30)\/40*-6*(-8)\/(-18). Solve -n*b = 2*h + g, b + h + 2 = -h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -t - 3*y + 330, -4*y + 335 = t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19293896 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*n - 1281 = -286 + 955 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.1, 14, 133\/6, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -8 - 2890\/(-962). Suppose -28 = 4*t + 4, -3*s + 13 = -2*t. Are s and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -338.7, 0.5, 1\/13?\nAnswer: -338.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 - 60. Let h(l) = 110*l**2 - l. Let n be h(1). Suppose -2*t + 67 = -n. Calculate the highest common divisor of p and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7665608?\nAnswer: 2, 617, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 3*z**3 + 48 + z + 1235*z**4 + 4*z**3 + 1227*z**4 - 2463*z**4 as x*z**2 + g*z**3 + u + n*z**4 + c*z and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnvc when four letters picked without replacement from cvyncvycc?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from qnggngvgqhn.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36656 and 20?\nAnswer: 183280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 5:40 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + (-4*(sqrt(2299)*2 + 3)*-6 + -2)*-4)**2.\nAnswer: 1178496*sqrt(19) + 84828174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -13*g**6\/15 + g**4\/12 - 5*g**3\/6 + g - 71. What is the second derivative of f(u) wrt u?\nAnswer: -312*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 - 5.09. Let a = -113.1 + 113. What is the closest to a in w, 0, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27098.8 days in microseconds?\nAnswer: 2341336320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/203040 and 161\/723060.\nAnswer: 271870560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28821219?\nAnswer: 3, 7, 61, 149, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 48*j**4 + 264*j**3 + 507*j**2 + 396*j + 108 = 0?\nAnswer: -2, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 246 + -243. Let i(d) be the first derivative of 2 + 3*d**2 + 1\/3*d**t + 9*d. Let i(c) = 0. Calculate c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 113*d*s**4 - 368*d*s + 22499401*d wrt s?\nAnswer: 452*d*s**3 - 368*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}