diff --git "a/data/dm_maths/full_data_1/1609_11255.jsonl" "b/data/dm_maths/full_data_1/1609_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1609_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Convert 20303233 (base 4) to base 2.\nAnswer: 1000110011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -7, -4, -319, 1, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(5\/4)\/(i**(-3\/26)\/i) assuming i is positive.\nAnswer: i**(123\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 8*v**3 + 7*v**2 - 2*v. Let r(x) = -15*x**3 - 13*x**2 + 4*x. Suppose 2*a - 4*z - 44 = -52, 5*a = -3*z - 33. Calculate a*r(u) - 11*g(u).\nAnswer: 2*u**3 + u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1654 - -1654. Suppose 0 = -a - 2 - 0, -2*a - 24 = -4*x. Solve x = o - s*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845583832.\nAnswer: 2, 230697979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*n + s, 0 = 3*n - 320*s + 325*s - 48 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 7 = -c + 3*j, -3*c = -3*j - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -259\/2 + 130. Factor -1\/4*j**4 + 0 + 0*j**3 + 3\/4*j**2 + m*j.\nAnswer: -j*(j - 2)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -98 (b) -21 (c) 5 (d) 2 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 8, -4*v - 2*d - 5 = -17. Suppose 0*l + v*l - 24 = 0. Let u be ((-24)\/27)\/(16\/(-72)). What is the greatest common factor of u and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63274 (base 10) to base 12.\nAnswer: -3074a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(89\/801)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*l + 0 + (2*l - 3*l - l)*(1 + 3 - 5) - 17 + 15*l + 17 - 164*l - 168*l + 109*l.\nAnswer: -208*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 5, 8, -1\/2, -2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 14. Let z be o(-17). Let k(f) = 8*f**3 + 2*f**2 - 2*f + 1. Let t be k(1). Solve -v - z*v = 5*i + 11, t = -2*v + i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/540 and -73\/96?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22729045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -1\/3*q**3 + 11*q**2 + 0 - 1\/24*q**4 + 0*q. Suppose -3*f - 4*g + 2 = 0, 2*f - 3*g + 8 = f. Calculate z(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25254 - 42?\nAnswer: -25316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 3)*(3 + 0 - 2) + 2 - 3 + 4)*(-2*o**2 + 7*o**2 + 3*o**2).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4063, -4, -0.4, 537.\nAnswer: -4, -0.4, 537, 4063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 656\/313?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l - 43. Let x(n) = -n**3 - 10*n**2 - 12*n - 127. Let i be x(-10). Give b(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16743 + 2?\nAnswer: -16741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57056 is divided by 7132.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476705 is divided by 746.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -24827.5609169154.\nAnswer: -24827.6609169154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*d + 137. Suppose 163 - d = k. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1570*q**4 - 26*q**2 + 8*q + 1556*q**5 - 4683*q**5 - 1570*q**4 wrt q?\nAnswer: -187620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1389066 <= -1389075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 32 = 0, 0*c + 4*c - c - 75*s + 1220 = 4*c - 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18622?\nAnswer: 2, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -2*f**6\/15 - f**5\/5 + 2*f - 2. Let b(y) be the first derivative of j(y). Factor b(k).\nAnswer: -4*k**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 52*f**2 + 3 - 50*f**2 - 3. Let l(m) be the third derivative of m**4\/6 - 3*m**2. What is s(l(u))?\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i + i)*(-134 + 55954*i**2 - 55954*i**2 - 9*i**3).\nAnswer: -9*i**5 - 134*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3521709881 to four decimal places.\nAnswer: -0.3522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**3*w**3 + m**3*w**2 - 391*m**2*w**3 + 739*m**2*w**2 wrt w?\nAnswer: -24*m**3 - 2346*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2469, 3027, 3585, 4143?\n\"Answer: 558*j + 1911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 10:59 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32751064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*(r*r**(2\/3))\/r*r)\/r)\/r*r\/r**(6\/11)*(r**1)**24 assuming r is positive.\nAnswer: r**(862\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 17*h = -4*u - 45, 3*h + 21*u = -120. Let q = -3.1 + 0.1. Which is the closest to -21? (a) h (b) q (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557000 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-45) + -3 + 30\/50?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*g + 3. Let m = 9 + g. Calculate the greatest common factor of m and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1787, 1785, 1783, 1781, 1779?\nAnswer: 1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/1614 and 3\/1345.\nAnswer: 8070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 25614036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 754 - 754 - 23*o.\nAnswer: -23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j - 12. Calculate i(16).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/26 - (-7)\/((-364)\/148). Suppose 0 = -7*j + 4*j + 15. Sort h, -1, j.\nAnswer: h, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c + 51*c = 58 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339063020.\nAnswer: 2, 5, 16953151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135 + -102. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4372, -8730, -13088?\n\"Answer: -4358*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 10:50 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (3\/(-9))\/((-16)\/3456)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 6 = 2*g. Let a = -6 + 10. What is the remainder when a is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2865882 to the nearest integer?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -45050223 (base 7) in base 3?\nAnswer: -21022212022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4266526 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: Find the common denominator of 1\/562547812 and -13\/201.\nAnswer: 1687643436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 1\/20*q**5 + 20*q + 0 - 2\/45*q**6 + 0*q**4 + 0*q**2 + 1\/126*q**7 + 0*q**3. Let j(i) = 0. Calculate i.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -16. Suppose -x + 2*d = -5*x + 26, -x - 2*d = -8. Put x, t, 5 in decreasing order.\nAnswer: x, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228\/16 + 14\/56 - (-87)\/(-174)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*-1 + sqrt(475) + 0)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 25 in descending order.\nAnswer: 25, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 - 4*v**2 + 3*v. What is the remainder when s(3) is divided by -1*(-4)\/(-4) - (-16)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 368137312 by -2421956.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -51*j + 136. Let q be n(-7). Let h = q + -321. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 7*x - 16. Factor 0*r**3 + 0*r - 2\/5*r**x + 2\/5*r**2 + 0.\nAnswer: -2*r**2*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5803 by 5803.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6485698 greater than -6485719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = -l. Let k(y) = -4*y**3 - 2*y**2 + 3. Let b(s) = -3*s**3 - s**2 + 2. What is l*k(a) - 3*b(a)?\nAnswer: a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - (0 - 0))*-1. Suppose -5*p = 4*h - 33, q*h = p + 19 + 8. Calculate the remainder when 20 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1184 + 1185. Let o = 0.3 - 0.5. Let d = 5.12 - 0.12. Which is the biggest value? (a) o (b) z (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*l + 13 = -11, 4*m + 2*l - 18 = 0. Let b(i) = -6*i**m - 3 + 4 + 0*i**3 + 0 + 3*i + 2*i**3. Is b(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let h(j) = 12*j**2 + 19*j - 19*j. Determine h(g(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1543780.\nAnswer: 2, 5, 7, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-96)\/(-72))\/(4\/32709). Suppose -4*k = -3*q + 6553, 0 = 5*q + 6*k - 8*k - b. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -6. Suppose 2*n = -0*n + a. Let d(g) = 2*g - 2. Let k be d(3). Which is bigger: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a millennium?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -5 (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000103377 rounded to 7 decimal places?\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*k - 7*k - 12*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (-3 + sqrt(18)*1*-4 + -4)*-1)**2*-3.\nAnswer: -5634 - 2160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15552 - -11007. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 582 (c) -1579\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 87987\/15301 at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/((-14)\/(-357)). Calculate the highest common divisor of q and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -59*t - 40, -368*t = 11*m - 363*t + 220 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.26 - -0.04. Is k at least as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - 1) + -4 + (-20 - -41)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 3. Let l be (581\/(-112)*-4)\/(-6). Let k = 25\/8 + l. Which is the nearest to 0? (a) k (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 34*f - 123. Let s be n(4). Suppose -3*w - 5*v = -633 - 98, -982 = -4*w - 3*v. Calculate the highest common divisor of w and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 489 - 2319 = 0. Let p = -99 - l. List the prime factors of p.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*s + 336*s - 270 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*l - 97470, -5*l - 4*k = -123206 - 120441. Is 109 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u. Suppose -2*b + 4 + 4 = 0. Let r be y(b). Let z(i) = i**2 + 3*i + 6. Let n be z(r). Solve -3*k + m = -5, -k = 4*m - 3 + n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512571 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36*(-16)\/(-3744)*1*13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 j when three letters picked without replacement from jhmhnnhhihnjhng.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -841*x**3 + 31*x**2. Let i(o) = -o**3 + 4*o**2. What is 6*i(g) - q(g)?\nAnswer: 835*g**3 - 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 575\/3000 - 3\/45.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 20 = -x. What is the least common multiple of (-32)\/6*(-15)\/x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 11 - 9. Suppose -2*t - w*b = -48, 3*t + 5*b = 2*t + 33. Let u be 9180004\/t - 2\/9. Round u to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**4 + 1438*v**3 + 5*v**2 - 28266*v - 3?\nAnswer: -36*v**2 + 8628*v + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -150*u - 374. Let q be a(-6). Let y = q + -526. Solve g - 8*g - 28 = y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-22\/3)*t*t\/(t**20*t) assuming t is positive.\nAnswer: t**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-16)*f*f**(-2\/27)\/f)**15)**(-1\/6) assuming f is positive.\nAnswer: f**(1085\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 12:57 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*u + u + 466, -3*u = 5*z - 784. Suppose -4*c - z = -3*g, -g - 2*g + 160 = -5*c. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 + 2*j. Let u be z(-2). Let d = -11 - -13. What is the third smallest value in -3, d, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*n = 211*n - 28*n - 7981. Solve -18*o - 5 = -13*o - 5*q, -5*o = 4*q + n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47\/((-6580)\/(-350)))\/(2\/8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5*u + 63, 5*q - q + 4*u - 76 = 0. Let b = 3490 - 3423. What is the remainder when b is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 41*o - 439. Give f(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 11, -5, -21, -37?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3844?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/8? (a) -2\/31 (b) -9\/38 (c) -0.1 (d) -2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*g = 24, 3*z - 26 = 5*g + 5. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3756, -3756, -3768, -3798, -3852, -3936, -4056?\n\"Answer: -r**3 + 7*r - 3762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*14*1\/(-2). What is the remainder when 4 is divided by u\/(-9) - (-2)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110273 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2247946?\nAnswer: 2, 1123973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u. Let g(n) = 64*n. What is s(g(j))?\nAnswer: -256*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/sqrt(2))\/sqrt(2) - (1*sqrt(132) + sqrt(132))\/sqrt(12)) + (-2*(0 + sqrt(1331)))**2 - ((1 + (-3 + sqrt(176) - sqrt(1100)*2))**2 + 5).\nAnswer: -65*sqrt(11) + 2499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 87936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**6\/120 - d**5\/30 - d**4\/6 - d**3\/3 + 7*d**2. Give n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 0, -0.5, 30.2?\nAnswer: 30.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38833323853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (1 + sqrt(1053) - sqrt(1053))*-3 - (2 + sqrt(1053) + (sqrt(1053) - (1 + sqrt(1053)))*5 + sqrt(1053)))**2.\nAnswer: -540*sqrt(13) + 21105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**3 - o**2 - 2. Let j(r) = 5*r**3 - 2*r**2 - 3. Suppose -5 = l, 6*n - 1 = 9*n + 2*l. Calculate n*s(m) - 2*j(m).\nAnswer: 2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*y + 23926 = 25306 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z. Let p(x) = x**2 + 12*x - 34. Let a be p(-15). Let m(h) = -a*h**2 - h**2 - 22*h**2. Determine d(m(s)).\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 515726811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8\/7))**(2\/7)\/(o**13*o**(-11\/7)) assuming o is positive.\nAnswer: o**(-576\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 22912.\nAnswer: 114560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 91107089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1 + 4 - 3*m**2 + 3 + m**3 - 5*m. Let j be w(4). Suppose 2*g - 24 = -g + j*i, 3*i + 1 = g. What is the remainder when 25 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1464.568327366 and -5.\nAnswer: -1469.568327366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -440359 and 20583?\nAnswer: 460942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -156 + 306 - 2*r + r**3 - 153. Let f(j) = 5*j + 13. Let h(u) = 4*u + 10. Let n(y) = 3*f(y) - 4*h(y). Calculate 2*m(s) - 4*n(s).\nAnswer: 2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 184*w - 919. Let k be u(5). Put -4, 6, -41, k in descending order.\nAnswer: 6, k, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 3234*b - 22491.\nAnswer: -3*(b - 1071)*(b - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 25608*k + 2080. What is the tens digit of n(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -494, -3944, -13322, -31592, -61718, -106664?\nAnswer: -169394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2845627 (base 11) in base 7?\nAnswer: -56425303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 41 and -0.68914.\nAnswer: 40.31086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 7:05 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3 - 3. Let g(r) = -172 - r + 2*r + 171. Let s be g(v). Are 5 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**4\/6 - k**3\/3 - 3*k**2\/2 + k. Let j(i) = 47*i - 2*i**2 + 3 + 47*i + 53*i - 1 - 145*i. Calculate 4*j(b) + 3*q(b).\nAnswer: -2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 1. Let t(g) = -6 - 7*g - 3*g - 10*g + 10*g. Determine t(v) - 6*y(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1\/5 - 66468\/(-45840)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*s + 3*m + 37, 2*s = -2*m - 14. Which is greater: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2. Suppose -4*m + c + 2*c = -23, -2*m - p = c. Let i be m - 3*4\/12. Solve 1 = -w + t - 1, -i = -t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 502*m**4 + 60475*m**2 + 15784910*m + 2 wrt m.\nAnswer: 6024*m**2 + 120950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 5*f + 2. Let y be r(-6). Let k = -4 - y. Suppose -n = -k - 3. Calculate the remainder when 8 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84.3 + 83.98. Sort 1, 44, -0.4, o.\nAnswer: -0.4, o, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3439305, -3439299, -3439293, -3439287, -3439281?\nAnswer: -3439275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 22*t + 162 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -5\/4, 37256, 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 8:52 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 1. Let f(i) = 4*i - 3. Let q(t) = 3*d(t) + f(t). Let c be q(4). What is the second derivative of 0*p**2 - 6*p - c*p**3 + 3*p**2 - 3*p**2 wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-2 - -3)*-1. Suppose -3*k = -14 - a. Suppose 5*b + 10 = -5*d, 0*d = 2*b - 4*d - 20. Solve k*o - 5 - 7 = -q, 4*q - b = 3*o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 742 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 10:30 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -778 + 25670\/33. Let f = h - -107\/66. Let t = -40969\/5 - -8194. Which is the second smallest value? (a) t (b) 1 (c) f (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(96))\/sqrt(8).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/715, 5, -12\/5 in ascending order.\nAnswer: -12\/5, -0.5, 1\/715, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3527 and 246.7?\nAnswer: 87.01109","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.2904989 rounded to four decimal places?\nAnswer: 0.2905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7182 + -1367. Calculate the highest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10293389500 to the nearest one million.\nAnswer: -10293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 1458.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 3:20 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 6340*t + 6 - 6299*t + 2 - 7 to the form m*t + i and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-6 + 11) - 6\/(-2). Let r be (1\/(-3))\/(1\/(-15)). Solve z = r*q + 5 + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6767532\/13 and 520580 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/675)\/(2\/(-3))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**3 + 1574*h**2 - 5984*h?\nAnswer: -12*h + 3148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2139*f + 106974. What is v(-50)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzzdmnsdhznm. What is prob of sequence mm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 497651 and 440.\nAnswer: 19906040","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 153731 + -1?\nAnswer: 153730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/14190 and 41\/110682.\nAnswer: 553410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -17\/15?\nAnswer: -17\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 15.5, 2\/7, -10\/3 in increasing order.\nAnswer: -4, -10\/3, 2\/7, 4, 15.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksc. Give prob of picking 1 s and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 161. Let z be ((-90)\/(-27))\/((-15)\/(-18)). Suppose -b - d = -3*t, -z*t + 202 = -4*b + 2*b. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -6*c - 109. Let k(h) = -2*h. Let o(j) = 25*j. Let y(l) = c*k(l) - o(l). Determine y(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 304721, 9\/5, 4, -14.\nAnswer: -14, 9\/5, 4, 304721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.3 (b) -0.4 (c) 98 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 + ((-194)\/(-16) - (-21 - -23)) and 97\/92?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*o**2 + 31*o - 31*o + 267*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8698.49 nanograms?\nAnswer: 0.00000000000869849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 + 60?\nAnswer: 59.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 283424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -460, -3\/8, 84, -4 in decreasing order.\nAnswer: 84, 4, -3\/8, -4, -460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 78 = -66. Suppose 3*i - r = -i. What is the highest common factor of 108 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/6*78\/(-9). Let h = 22 + f. Suppose -8*i = -5*i - h. What is the remainder when 3 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12012)\/(-1785)*(-6)\/8. Let q = k - -27\/5. Is 0 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**2 - 5*u - 2. Let s be o(-3). Let n = s - -45. Solve q = 4, 3*c + 4 + 15 = n*q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 104130\/176)\/257. Let o = -9\/2056 + c. Find the common denominator of o and 11\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*q - 192?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 51421132 times -3\nAnswer: -154263396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514 a factor of 4639332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -74, -73?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/5 - 34\/(-5). Let p = -4 + n. What is the smallest value in 0.3, p, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(39\/9)*4\/(-3). Factor -6*t**2 - t**3 + 4*t**2 + 4*t + 5*t**4 - 4*t**s - 2*t**2.\nAnswer: t*(t - 2)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550964 = -139*i + 352278 - 222003. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -462 - 453\/2*c**2 - 690*c + 3\/2*c**3.\nAnswer: 3*(c - 154)*(c + 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-161)*5936\/8480.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 121603 and -68?\nAnswer: -8269004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 3, -85, -243, -477, -793?\nAnswer: -1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 divided by 19262?\nAnswer: 59\/9631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-6) + (-681)\/1386. Let f = 3\/77 + q. Let h = -2 - -1. Which is the closest to h? (a) 0.3 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6469*j + 12772*j - 6397*j = -5734 for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2914 and 404059.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -0.4 (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 722024627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 201 and 1192299.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 196*j**2 + 11*j - 14. List the prime factors of p(4).\nAnswer: 2, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 12:24 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1784*z + 13820*z = 1505*z + 389647 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 811481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6ab (base 12) to base 7.\nAnswer: -2621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75485, 151738, 227991, 304244?\nAnswer: 380497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 10367 = -2*y, 17*y = 12*y + 2*k + 25949. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffcfffccffccfcfc. What is prob of picking 1 f and 1 c?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/3 + 2\/(-3). Let v = -10 + k. Solve -t - t + 10 = v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/3953 or -1?\nAnswer: 8\/3953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 2*k**2 + k + 1. Let l(x) = -7*x**3 - 10*x**2 - 6*x + 71. Let m(q) = -6*b(q) - l(q). What is the derivative of m(o) wrt o?\nAnswer: 39*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 63.116048 from 0.3.\nAnswer: -62.816048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*z - 89, 3*u + 2*u - 5*z - 110 = 0. Let j = 27 - u. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 5*n + 23*n + 75 = 0, y + 2 = -217*n + 214*n for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1605\/71017 + 2\/1511. Let f(u) be the third derivative of u**4\/24 - u**3\/6 + u**2. Let c be f(2). Is c >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/2))**44\/(g**(1\/4))**(-40)*((g**(2\/7))**(-16\/5))**(-41) assuming g is positive.\nAnswer: g**(3972\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, m: 3, l: 1, j: 2, o: 3, f: 1}. What is prob of picking 1 f, 1 j, and 1 k?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 2*v**2 + 1. Let f(q) = -82*q**3 + 22*q**2 + 5*q - 16. Let o(n) = 2*f(n) + 22*t(n). Find the second derivative of o(i) wrt i.\nAnswer: -852*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h + 3. Let a(r) = -10*r + 10. Let v(c) = 2*a(c) - 7*q(c). Determine v(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -410.12.\nAnswer: -414.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4969, 39816, 134399, 318586, 622245, 1075244, 1707451?\n\"Answer: 4978*l**3 + l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-2)*x))**37)**(5\/2)*((x**1\/x)\/x**2)\/(x\/x**6*x*x\/x**(2\/15)*x*x) assuming x is positive.\nAnswer: x**(2762\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 257 - 2*j - 108 - 5*j**2 - 130 + j**3 - 8*j**2. What is o(13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.048 + 16.548. Let w = -17 + m. Suppose -j + 4*z = -4, -2*j + 2 = 2*j - 2*z. Which is the second smallest value? (a) 1 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151069 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266766.7 decades to millennia.\nAnswer: 2667.667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + -2 - -1) + (-4 - -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 6:10 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**4\/4 - 4*y**3 - 5*y**2 + 6*y - 32. Calculate k(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-64)*8 + 7\/(7\/6). Sort -4, 2, -3, u, 3.\nAnswer: -4, -3, 2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65098948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 35 = 5*v - 0, 0 = 3*r - v + 11. Which is the nearest to 1\/6? (a) 0.2 (b) -1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/4*(1062\/885)\/(81\/(-20))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (-2*sqrt(66)*4 + sqrt(66)))\/(2*sqrt(54)) + (0 + sqrt(1584) + sqrt(1584) + 0 + 1)**2.\nAnswer: 148*sqrt(11)\/3 + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 1. Let s(k) = 24*k**2 + 2*k - 1. Give -s(w) + 4*x(w).\nAnswer: -24*w**2 + 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 0.1, 273, 13, 15\/26?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1175053*p**3 - 1175046*p**3 + 3525145*p**3 + p + 2*p - 1175048*p**3 - 3*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from {x: 1, m: 1, i: 1, l: 1, k: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 54163075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48495, 193979, 436459, 775941, 1212431?\nAnswer: 1745935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 361\/11 + -33. Let i(n) = -2*n**3 + 2*n**2 - 1. Let r be i(1). Let b = 0 - r. Which is smaller: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1324*o**2 + 21*o - 20. Let m be i(20). Round m to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (18 - (-8 + 26) - (-1 + 1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73639 + 29.7.\nAnswer: -73609.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60499844.\nAnswer: 2, 23, 657607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 10, -4*l + 2*f = -15 - 5. Solve -2*i = 4*a + l, -i - 3 = -5*a - 22 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145482, -286948, -428414, -569880, -711346, -852812?\nAnswer: -994278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 5*l + 3. Suppose 661*i - 29 = 3*p + 657*i, -p = 5*i - 41. Let y be 110\/8 - (-1)\/4. Suppose -83 = -y*a + p. Give w(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 110\/132 + 162127\/42. Calculate the highest common factor of 39 and n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245353 (base 6) in base 12?\nAnswer: 10859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -789 = -17*h - 10139. Let n = h - -594. Solve -p + 12*p - n = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 0*c + 2. Let n be (c\/(-6))\/((-4)\/48). Calculate the highest common factor of n and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, -3, 2, 8, -1\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - p**2 - 6*p + 11. List the prime factors of t(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206a (base 13) to base 15.\nAnswer: 14dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3. Let a(o) = 6. Let q(i) = -4*a(i) - 7*h(i). Let c(s) = s + 5. What is -3*c(l) - 5*q(l)?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 72*g + 364 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 2*i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Suppose 2*h + 12 = q*n, -n - 10 = -3*n + 2*h. Let p(m) = -2*m**3 - 10*m**2 + 3*m + 14. Let a be p(-5). Put a, n, -5 in increasing order.\nAnswer: -5, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139274879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*x - 0*x. Suppose -80 = -2*y - x*w, -2*y - 5*w + 85 = -0*y. Let d be 10 + (1 - 0) - 1. What is the highest common divisor of d and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/9822 and 33\/6548.\nAnswer: 19644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -2*o**4 + 4*o**3\/3 + 2*o**2 - 6. Find d such that s(d) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21 + 0.07. Let d = -0.2791 + t. Round d to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 3\/4, -1, 0.8, -309?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 4, k: 3, y: 1, r: 1}. Give prob of sequence rr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1 + (1 - 3 + 3)*(2 + 2 - 15))*(-3*t**3 - 2*t + 2*t) to s + j*t + u*t**3 + y*t**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = n - 306*c + 309*c, -8*n + 185 = 3*c for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 15*b - 5*k + 0 = -13, 77 - 191 = -6*b + 12*k for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1574 and -18\/7.\nAnswer: 11018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 4:23 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 37*o - 1452. Determine c(40).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 10, 5*z - 7*k - 1100 = -8*k. What is the remainder when z is divided by 62?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*2403.9\nAnswer: -7211.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m = -376*m - 541*m - 32935 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/46)\/(26\/(-8))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 94.28558 micrograms?\nAnswer: 0.00009428558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/8, 2, -15, -3\/5, -0.4, 2.57, 0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729798 a multiple of 929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -3\/4 (c) -20 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/130 + 99696\/4680. Suppose 3*u - 2*u + 3*q = 18, 0 = -4*u + 5*q - 13. Factor -4\/3*g**u + 8*g**2 - 2\/3*g**4 + 80\/3*g + k.\nAnswer: -2*(g - 4)*(g + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174*c**3*m**3 - 1474*c**3*m**2 - 8*c*m**2 + 51*m**5 wrt m.\nAnswer: 1044*c**3 + 3060*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/144*-4*6\/(-4)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 40608 = -3*z, 2*t + 16260 = 4*t - 3*z. Suppose 15*j - 31839 = -t. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (462\/99)\/((-12)\/(-54)*-15).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 599359.8 nanograms to kilograms.\nAnswer: 0.0000005993598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 0. Suppose -2*l + 9 + n = 3*f, -5*l = -2*f - 10. Let o = 5 - l. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1\/(20\/25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/9 - (-502)\/9. Suppose 3*c - 2*f = 12, -4*c + 21 = c - 3*f. Does 8 divide (54\/21)\/(c\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:08 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + f**2 + 2*f + 85. What is the tens digit of m(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5491 and 1671525.\nAnswer: 28415925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.078824073 - 3501066.378824073. Let i = 3501062.3999994 + n. Let d = i + 3.9. What is d rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/15)\/(4\/10). Let p be (-2)\/6 + 3\/9. Suppose 4*j - t*m - 1688 = 0, -3*m - 1686 = -p*j - 4*j. What is j rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 6:16 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by -6\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 123465*y**2 + 740610*y.\nAnswer: 5*y*(y - 24687)*(y - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2933994*o - 17603971. What is a(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4228*h**3 - 5*h. Let i(b) = 6*b**3 - 2*b. What is -2*i(t) + r(t)?\nAnswer: -4240*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 4. Determine l(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.65 rounded to one dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -1\/22 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, i: 1, z: 2, o: 9}. What is prob of sequence ozhi?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3393 = -18*i + 2205. Are -65 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6)**(-1\/11)*a**(-9\/4)*a**(-8\/7)*a assuming a is positive.\nAnswer: a**(-905\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31581000 divided by 11?\nAnswer: 2871000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*v - 11*v - 629 = 0. Solve -5*b + 11 + 13 = 4*s, 3*b + 5*s = v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from {v: 1, t: 2, d: 1, k: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 794 - 402. Let p = i + -391.8. What is the second smallest value in 0.17, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((9\/(-6))\/((-4)\/((-88)\/2343))). Suppose 0 = 2*b + 3*u + 127, 4*b + 61 = u - 228. Are t and b non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18602027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 353 - 493 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -2\/5, -200 in increasing order.\nAnswer: -200, -27, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from xxxxnmxnmaxxnmxnqx.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6711*b**5 - 13435*b**3 + 31*b**2 - 7*b + 104605 wrt b?\nAnswer: -402660*b**2 - 80610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/8 of a week?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -153396, -306918, -460440, -613962, -767484?\n\"Answer: -153522*w + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6434000 rounded to the nearest one hundred thousand?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -43. Calculate the remainder when 28 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**3\/3 - z**2\/2 - 2*z + 183. Let o(m) = -110 + m**2 + 110. Let k be 3\/9*(1 - -2). Determine k*o(a) + r(a).\nAnswer: 2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -8165?\nAnswer: 2\/1633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60912)\/(-3948) - (-14)\/(-1)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -19*j**3. List the prime factors of y(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + t. Let g(v) be the first derivative of -v**3\/3 - v**2\/2 - 84000*v + 8. Let j be g(t). What is j rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 17*x + 276 + 39 = 0 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -6 - -7) + (-34 - -50).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.34 + 0.26. Let d = 0.1 - q. Suppose 4*k + 5 = -15. Which is the second smallest value? (a) d (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 3317\nAnswer: -36\/3317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i - 4. Let v be f(1). Suppose v = -5*t - 5*t - 320. Which is bigger: -29 or t?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - -15 - (-4 + 15).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -1, 36, 55, 4, -7 in descending order.\nAnswer: 55, 36, 4, -1, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w**3 - 11*w**3 - w + 31*w**3 + w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -139*i**4 - 1291*i**3 - 3039*i**2 - 2761*i - 874.\nAnswer: -(i + 1)**3*(139*i + 874)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d - 3*d + 2*d - 18*d + 75*d + 19*d + (d - 1 + 1)*(4 + 0 - 3) - 2*d + 4*d - d in the form a + f*d and give f.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4361 and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {t: 1, a: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.3. Let i = 1\/3 + 1\/15. Let s = -231 - -2543\/11. What is the closest to b in 0.5, s, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g = -2. Let l(p) = 3*p**2 - p - 1. What are the prime factors of l(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*n - 14*n = t - 10*n + 74, 20*t + 5 - 29 = n + 54 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/((-1)\/6*-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -201481882 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1237768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 1668?\nAnswer: -1669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 1. Calculate p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-17)*(-4)\/54*-3?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 + -0.2. Let o = 0.05 + -1.55. Let v = o - m. Round v to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i*o**4 - 2*i*o**3 + 5*i*o + o**6 - 10*o**3 - 6*o**2 + 9*o wrt o?\nAnswer: 96*i*o - 12*i + 120*o**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*x + 48*x + x**2 - 93*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 329814560*k**3 - 254456163*k?\nAnswer: 1978887360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.0878 to one dp.\nAnswer: -27.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3080 and 496.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = z - 17. Let k(v) = -v**2 - 23*v + 39. Let a = 118 + -141. Let l be k(a). What is the highest common divisor of l and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 - 2*g + 3205715 - 3205733 + 2*g**2 in the form w*g + t + d*g**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 542 = -u. Let l = u + -24974\/45. Do l and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.1 + -0.9. Let s = -2.9 + -0.1. Let z be 3\/(-2)*12\/(-18). Sort z, s, a.\nAnswer: a, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/51, 867 in decreasing order.\nAnswer: 867, -2\/51, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3068 + 6139\/2. Let p(s) be the first derivative of -4 + x*s**4 - 3*s**2 + 0*s + 2\/3*s**3 - 2\/5*s**5. Factor p(g).\nAnswer: -2*g*(g - 3)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, and 1 q when three letters picked without replacement from ogrxxpxxxgqxxgxxxx?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 45*w + 16*w**2 - w**4 + 7*w**2 - 7*w**2. Differentiate u(x) with respect to x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45156075199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -335, -346, -371, -416, -487?\n\"Answer: -i**3 - i**2 - i - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -246\/23, 4111 in ascending order.\nAnswer: -246\/23, -1\/6, 4111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 13*d**2 - 8*d + 13. Let m be p(11). Let n = 474 - m. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k. Suppose 5*c - 8 = 12. Suppose -3*f + c*f = -f. Let w(v) = v + 18*v + f*v. Give i(w(l)).\nAnswer: 38*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + i + 2)*((-2*i**4 + 2*i**4 - i**4)*(-2 + 2 + 2) + (213*i**4 - 51*i**4 - 52*i**4)*(-5 + 1 + 2)).\nAnswer: -222*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0, 2\/99, -5 in decreasing order.\nAnswer: 2\/99, 0, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20823 and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 20*o**3 - 4*o**2 + o + 5. Let j be x(7). Suppose 7392 = 4*b - j. Let w = 35217\/10 - b. What is the common denominator of w and 95\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 5. Let n be g(-8). Let p = -3 + n. Suppose 3*d + 0*d - 12 = p. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1296823 - 0.13097. Round f to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsn when three letters picked without replacement from {w: 3, s: 2, n: 3, q: 8}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 0*h - 163\/4*h**4 - 169 + 0*h**2 - 103\/3*h**3. What is the third derivative of u(z) wrt z?\nAnswer: -978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:52 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 994*p.\nAnswer: p*(p + 994)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 57 = -4*m, -5*d + 103 = -m + 5*m. Let f = 69 - d. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96019763 divided by 343.\nAnswer: -279941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 31*x**2 + 66*x + 679. Let u be t(-14). Calculate the greatest common factor of u and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtt when three letters picked without replacement from tvktxcnnvxccct.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.38 + 0.0457007.\nAnswer: -0.3342993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**6\/x)**(9\/8))**(-4\/15) assuming x is positive.\nAnswer: x**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 2) + 2 - -34. Suppose -65 - k = -4*j. Suppose i - 4*i = -j. What is the remainder when 15 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1089 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 52 - 2*v**2 - 126 + 3*v**3 + 33 as b*v**2 + w + i*v + x*v**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/3, -0.23, -12\/17 in descending order.\nAnswer: 1, 2\/3, -0.23, -12\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 13 = 12. Let p(k) = -6*k**2 + 5*k - 4. Let n be p(1). Let w be ((-356)\/(-90) + -4)*n. Which is the closest to 0.03? (a) -2\/9 (b) w (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 1652 - 1628 = 4*v, -6*a - 4*v - 4 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 25*m - 8. Is x(14) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-3) + 6060\/(-1800)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.058 and -0.87.\nAnswer: -0.05046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -100395*i - 21*i**3 + 12890 + 2901*i**2 + 573 + 820 = 0?\nAnswer: 1\/7, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -12*p. Let n be 0 + 33 - (-9 + 12). Let u be 18\/135 - (-266)\/n. Let a(q) = 3*q. What is u*a(m) + 2*r(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.94 - 17. Let a = z + 5.06. Let i = 1.3 + -0.3. What is the second smallest value in a, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17036 - -31009. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0063 + 11.9937. What is the smallest value in -3, a, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*j + 28*j - 6*j**2 + 0*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/2287923 and -143\/87576?\nAnswer: 18303384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 223972 and 269458?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*l**2 - 161*l - 33 + 28*l**2 + 33 in the form h + g*l + t*l**2 and give g.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {s: 1, x: 1, f: 2, g: 1, z: 1, k: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.20008g to tonnes.\nAnswer: 0.00000320008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 28*s**3 - s - 29*s**3 + 5*s - 4*s**2 in the form x + o*s + h*s**3 + w*s**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29063, 58094, 87113, 116120, 145115, 174098, 203069?\n\"Answer: -6*y**2 + 29049*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyj when three letters picked without replacement from dldbgjlyljlydb?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-732)\/(-2379) + (854\/13 - 8\/(-24)*-12).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 2, x: 5, t: 1}. What is prob of picking 1 x and 1 t?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -28, -409 in increasing order.\nAnswer: -409, -28, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 11*d**2 - 23*d + 4. Let z(y) = 5*y**2 - 12*y + 2. What is -6*a(w) + 13*z(w)?\nAnswer: -w**2 - 18*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.2 + -9. Let d = 5.2 - y. Let q = 0 - 0.3. Sort q, d, 4 in decreasing order.\nAnswer: 4, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104 + 571. What is the lowest common multiple of 7 and u?\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 6*u**2 + 4*u - 5. Let n be r(-4). Suppose -x + 4 + n = 0. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7078 + -4?\nAnswer: -7081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-2\/5))*f)**20\/((f*f**(3\/5)*f)\/(((f**(-1)\/f)\/f)\/f*f)) assuming f is positive.\nAnswer: f**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7535.242 millimeters to kilometers.\nAnswer: 0.007535242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/2115 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3061 * 0.005\nAnswer: -15.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 836 + -901. Let s(r) = -r**2 - 2*r - 1. Let f be s(-6). Let g = f - k. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 7*l**2 - 2*l + 13. Let d be p(7). Let h be (-12)\/8*12\/9. Which is the closest to d? (a) h (b) -1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355.5 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - -1*sqrt(704) - sqrt(704))*4.\nAnswer: 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7362 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/(-10) - 11*18\/495\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 > 30452\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001011210110 (base 3) in base 9?\nAnswer: -1034713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**22*(g**(-6)*g*g)\/g**(-5) assuming g is positive.\nAnswer: g**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**3\/5 + 7599*l**2\/5 - 7602*l\/5 = 0.\nAnswer: -2534, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*i. Let l(n) = n**2 + 1. Let j be l(-1). Solve -3*g - j*g - 15 = i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4297.58 from -0.1521.\nAnswer: -4297.7321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-17)*(((((c\/(c**16*c))\/c)\/c)\/c)\/c)\/c*c)\/(c**(-28)\/(c*c**(2\/9))) assuming c is positive.\nAnswer: c**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g. Suppose g*m = -2*m + 192. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1509539 less than -1509539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**2 + 190*o + 390. Let y(n) = 4*n**2 + n - 4. Let m(x) = 2*l(x) + 2*y(x). Find f, given that m(f) = 0.\nAnswer: -2, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + n = -86, -2*a = 5*n + 45 + 7. Let h be (-14)\/a - (-4)\/(-6). Suppose 0*d = 4*d + 16. What is the closest to h in d, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g\/(g*g**(-6)))\/(g*g**(-1\/21)\/g*g\/(g*g*g\/(g**(2\/15)\/g))) assuming g is positive.\nAnswer: g**(487\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 3*p**2 + 3*p - 7. Is 7 a factor of t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/140 + (-87)\/(-15)*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2. Let x(o) be the first derivative of 25*o**2\/2 - 32. Calculate x(b(a)).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/45 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -21, 6, 2, 0 in descending order.\nAnswer: 6, 2, 0, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 72. Let z = r - 14. Let d be (-154)\/(-30) - 7*14\/735. What is the nearest to z in 1\/5, d, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 8:53 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*m + 16, 0 = 2*c + 2*m - 5*m + 4. Let u(l) = -c*l**2 + 9*l**2 - 5*l**2 + 30*l**2. Let d(p) = -p. Give d(u(x)).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -25*p**2. Let g(w) be the third derivative of w**5\/60 - 465*w**2 + 2. What is 6*g(a) + t(a)?\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 13 + 13)*(-3 + 4 + 0)*(-4 - 1 + 3)*(r + 2*r**3 - r).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 213 * 0.1\nAnswer: 21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 18*h**2 - 26*h - 133. What is j(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 220\/3*k**3 + 0 - 4840*k**2 - 5\/12*k**4 + 134*k. Factor w(b).\nAnswer: -5*(b - 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*1)\/sqrt(6) + ((sqrt(11) + 1 + sqrt(11))*-3)**2 + (1 + 0 + sqrt(1100) + (4*(sqrt(1100) + -1) - sqrt(1100)) + sqrt(1100))**2.\nAnswer: -263*sqrt(11) + 27914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1037 - 1038 - 1047 + 3122 + 10133*s**2 in the form t + z*s**2 + i*s and give z.\nAnswer: 10133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*y = 17, -2*c = c + 5*y + 4. Suppose o - 12 = c. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35354 + 61432. List the prime factors of r.\nAnswer: 2, 13, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/1)\/(-3) + (-659)\/1. Which is bigger: x or -660?\nAnswer: -660","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3979 - 2086. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l. Let c be 44\/16 - 76\/(-304). Let h(g) be the second derivative of 14*g + 0 + 0*g**2 + 1\/6*g**c. Give -2*h(v) + i(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*103431\nAnswer: -10343.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -5*f + 2*h, -5*f - 13 = -0*f + 3*h. Let c(o) = -4*o - 30*o**2 - 7 + 10*o**2 - 3. Let q be c(f). Round q to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 41*y. Let x(s) = 10*s**2 - 3*s**2 - s**2 + 0*s**2 + s**2. Give w(x(z)).\nAnswer: 287*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16821, -16819, -16817?\nAnswer: -16815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*c - 478 - 292*c + 149*c**2 - 78*c**2 - 74*c**2 wrt c.\nAnswer: -6*c - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 3*h - 7. Let o be k(5). Suppose 0 = 4*b + 16, -o*l - 2*l = -b + 1. Let w(p) = -3*p**3 - p - 1. What is the units digit of w(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 48989395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 68\/11 + 60\/(-9 - 1). Let z = -21 - -20.5. Let w = 11.4 - 13. Sort r, z, w in increasing order.\nAnswer: w, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3691 - -3676. Sort h, -4, -5, 8 in descending order.\nAnswer: 8, -4, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (44 + -3 + -2)*1. Let x = h - -700. Differentiate 21*s - 686 + x + s - 4*s with respect to s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 409879897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 + 12 - 4*v - 32*v + 9 - 13*v as t + y*v and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*x + 30, -5 = -q - 4*q + 2*x. Let o be 18\/(-6 + q) + 2. Which is the closest to -1? (a) 1 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1300 + 319 - 56*s + 327 + 331 + 327.\nAnswer: -56*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/5 of a week?\nAnswer: 42336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (7 - ((1 - -5) + 1)) + 92 + 100 + -114\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + (-43)\/51)*21\/(-2). Let d be (-33)\/(-3)*(1 - (-298)\/(-136)). Let m = d + k. What is the common denominator of m and -13\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2795*l + 22. Is u(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d. Let r(j) = -7*j**2 + 6409*j + 4. What is r(w(k))?\nAnswer: -7*k**2 + 6409*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -59*h - 9. Is x(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -14*h**2 - 1. What is s(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9446 or 9476?\nAnswer: 9476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.5 and -188905008.\nAnswer: -188905009.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 9. Suppose -3*f = -5*j + t, 2*j - 4*f + 2 = 3*j. Suppose 5*o - 4*o = j. Solve -5*n = -x + 9, -4*x - o*n + 21 = -11*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4*b = -16, 6 = y + b + b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c = 82 - 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 19 + 34. Let m(w) = w**3 - 3*w**2 - 8*w - 9. Let g be m(x). Solve 0 = 5*q + 5*z - 14 - g, 0 = -3*z + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 295 - 181. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -6*m**4 + m**3\/6 + 220*m**2 + 152*m. Differentiate r(a) wrt a.\nAnswer: -144*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*z**2 - 44796*z**3 + 1 + 44795*z**3 + 133*z**2 + 176*z**2 to p*z + t*z**2 + y + v*z**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1300) - (sqrt(1300) - sqrt(1300)*-2*-4)) + -4 + sqrt(1300)*-1)*-6)**2*-6*5.\nAnswer: -68813280 + 604800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 19 = -2*t, -4*d + 4*t + 25 = -55. Let p = 34 - d. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 8 - 6 - 5*w)*(w + 0*w + 0*w).\nAnswer: -6*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r. Let m be y(-1). Let p(h) = 6 - 13*h + 12 - 11*h. Does 6 divide p(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -11*v - 77. Let t be u(-27). Suppose t = -m + 223. Let a(y) = y**3 - 2*y**2 - 2. Let f be a(3). Solve -2*g = -m - f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -318b (base 12) to base 11\nAnswer: -40a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.814 and -4832083.\nAnswer: -4832080.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 0) + 2 + -11 + 3 + -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134 - 140 - 219*z - 136 + 410 to the form f*z + b and give f.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 4\/185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198122 is divided by 65880?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 3137 - 6244 + 3099.\nAnswer: -c**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-9) - (-15)\/54. Let i(g) be the third derivative of 1\/90*g**6 - d*g**4 + 0*g**5 - 3*g**2 + 0*g + 1\/9*g**3 + 0 - 1\/315*g**7. Factor i(v).\nAnswer: -2*(v - 1)**3*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-268)\/31536*-18 - 20\/120\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-252*d - 58*d - 89*d)*(0 + 0 - d**2)*(16*d + 4 - 4) in the form o + f*d + m*d**2 + p*d**4 + k*d**3 and give p.\nAnswer: 6384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 0 - (-10 + 3 - -9). Let b be a\/((-290)\/(-144) + -2). Which is smaller: 71 or b?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, 1 b, and 1 w when four letters picked without replacement from xwbbboxboxboxwwbwb?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*h + 35. Suppose c - 2*f = 2, c + 3 = 4*f + 5. What is the lowest common multiple of c and (-4)\/10 - 104\/h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from tuzt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1046.1 + 0.5.\nAnswer: -1045.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39517858 is divided by 102.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/5)*((l\/(l*l*l*(l\/(l\/l**(-14)*l))\/l*l*l*l))\/l)\/l*l*(l\/(l\/l**(-1\/4)))\/(l*(l\/((l**(-1\/6)*l)\/l))\/l*l) assuming l is positive.\nAnswer: l**(479\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5349 - 4920 - 5883 = -1346*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c + 794 - 2279 = 0. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -459265.79962 + 459270. Let r = b + -4.2. What is r rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tuutut. What is prob of picking 4 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 282 = -6. Let k = 75 - l. Let i = -6 + 10. What is the lowest common multiple of k and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13978 is divided by 431.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161 - 165. Let k = 0.04 - -2.96. Put k, -2\/7, g in increasing order.\nAnswer: g, -2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100100112 + 2113?\nAnswer: -100031333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/6, -313, 0.5, 496, -0.2.\nAnswer: -313, -0.2, 0.5, 13\/6, 496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4066368 and 486.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*5\/(-20)*(-1)\/(-2). Suppose s = 15*b - 11*b - 12. Suppose 0 = b*d - 3*a - 15, -3*a - 5 = -2*d + 1. Calculate the least common multiple of d and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -127*t - 145. Let v(o) = 16 + 16*o + 47*o + 57. Let q(b) = 2*r(b) + 5*v(b). What is the first derivative of q(h) wrt h?\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 8*m**2 + 10*m + 20. What is b(9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s + 88. Let r be w(12). Suppose 9 - 1461 = -r*j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3179, 2952, 2739, 2540, 2355, 2184?\n\"Answer: 7*t**2 - 248*t + 3420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14788 + 23412. Does 196 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = -4*c + 10064. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*a + 69*a**3 - 2 + 103*a in the form k*a**2 + l*a**3 + u*a + x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) + (-87)\/(-9). Let n be 14\/35 + 43\/5. Which is greater: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -737 or -6625\/9?\nAnswer: -6625\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**5 - 5063*w**3 + 599*w + 17 wrt w?\nAnswer: 20*w**3 - 30378*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420) - sqrt(420)*3 - sqrt(420) - sqrt(420) - sqrt(420))\/sqrt(7)*2)\/((sqrt(12) - sqrt(588)*2 - sqrt(12)) + sqrt(108)\/(sqrt(27)\/sqrt(3))).\nAnswer: 10*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -4, 2\/7, 9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -33, -50, -65?\n\"Answer: f**2 - 22*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, -4, -13, -26, -43, -64?\n\"Answer: -2*l**2 + l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-25)\/f**(-24) assuming f is positive.\nAnswer: 1\/f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 240 = -n. Let v(o) = 4*o**2 - 4*o + 1. Let f be (10 + -11)*(-1 - 2). Calculate the remainder when n is divided by v(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5532523*1\nAnswer: 0.5532523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**8\/504 + b**6\/90 - b**4\/36 + 3*b**2\/2 - 5. Let r(o) be the second derivative of t(o). Factor r(s).\nAnswer: -2*s*(s - 1)**2*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (0 - 3) + (5 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17666000 rounded to the nearest one hundred thousand?\nAnswer: 17700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -20, 3, 2 in ascending order.\nAnswer: -20, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 426.7516723.\nAnswer: 430.7516723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.008 (b) -0.4 (c) -4\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/7 + 3408*y\/7 - 20340\/7.\nAnswer: -3*(y - 1130)*(y - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*q - 2*r = 0, 0 = -r. Suppose -2*j + j + 9 = q. Let d(f) = f**2 - 9*f + 10. Calculate the remainder when 29 is divided by d(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4))**(-2\/13))**(-31) assuming p is positive.\nAnswer: p**(-31\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/5 (b) -0.1 (c) -1\/32 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.68335171 rounded to two dps?\nAnswer: -31.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 12:43 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and 0.0412762?\nAnswer: 0.003714858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o + 2. Is -4\/31 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*u - 15. Find the first derivative of -u*l + 5 - 5*l + 16*l wrt l.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1454 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/25 - 508\/(-70))*7. Calculate the greatest common factor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(156)\/sqrt(192))*-5 + 4.\nAnswer: -15*sqrt(13)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2584974.\nAnswer: 2, 3, 7, 61547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {t: 1, l: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-2*u - 2*u + u)*(0*u**2 - 2*u**4 + 0*u**2).\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 + 562\/5. Which is the closest to 0.1? (a) m (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-24)\/40 + (-4)\/((-40)\/606)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 131 + -153 + 2*12. Solve 0 = -a*t, 1 = u + 7*t - 5*t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32766, -123838, -275624, -488124, -761338, -1095266?\n\"Answer: -30357*g**2 - g - 2408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5 + 17, 0 = 5*r + 3*v - 27. Let q = r - -1. Solve 7*x = q*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -451\/2 + 227. Which is the smallest value? (a) -1.9 (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 7 = -n + 1, 0 = -n + 4*v + 3. Let m(d) = -4*d**3 + d**2 + d. Let s be m(n). Differentiate 3 - 1 + 0 - s*o**2 with respect to o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21013\/2 > 10508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -41*h + 17. Solve h = -9*l + 3*l - 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srpskfw. What is prob of sequence fp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**6\/60 + v**5\/30 - 3*v**2\/2 + 2*v. Let x(i) be the first derivative of g(i). Suppose x(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-274*k + 72*k - 9*k - 424*k)*(-3*k - 6*k**3 + 3*k) - 4*k**4 + 2*k**4 + 0*k**4.\nAnswer: 3808*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhjxpj. What is prob of sequence xxp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + -1*sqrt(325) + -2)*5 + 2 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00239 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 21 = -3*s, -3*i = -3*s - 0 - 3. Find the third derivative of i*y**2 + 4*y**4 + 0*y**5 - 4*y**4 + 2*y**5 wrt y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(1 + sqrt(700)))**2 - (-2 + (-4 + 2*sqrt(700) - sqrt(700)))**2.\nAnswer: -19663 - 420*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 18*h**2 - 1. Let f(l) = l**2 - 8*l + 1. Let t be f(8). Let d be u(t). What is the third derivative of -d*n**2 + 25*n**2 + n**5 - 6*n**5 wrt n?\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7715.\nAnswer: 5, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 9*d - 1. Let n be c(-9). Let w = -12 - -12. Put -3, w, n in decreasing order.\nAnswer: w, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -486, -1710, -3752, -6618, -10314, -14846?\n\"Answer: -r**3 - 403*r**2 - 8*r - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 430 + 6. Is 1 + -1*l\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1372*i - 1649*i - 101 - 100 - 296.\nAnswer: -3021*i - 497","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2673\/4 + 668. Which is the closest to v? (a) -0.24 (b) -3\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3115902, 3115923, 3115944, 3115965, 3115986, 3116007?\nAnswer: 3116028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*a + 5*a - 7 - a)*(-5 + 5*a + 5) to l + c*a + g*a**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3036 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-5)*f*f*f\/((f\/(f\/f**3))\/f))**(6\/23)\/((f\/(f\/(f*f**(1\/4)*f)))**(-1\/19)*(f*f**(1\/6))\/((((f*(f**(1\/2)*f)\/f)\/f)\/f)\/f)) assuming f is positive.\nAnswer: f**(-17467\/5244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**6*a)\/a**1*a**(12\/7)*a\/(a\/(a**6\/a)) assuming a is positive.\nAnswer: a**(103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o - 45*o**2 - o**3 + 0*o**3 + 54*o**2 - 14. Let w be k(8). Solve -17 - 3 = -3*u - 4*r, -3*u + 2*r = w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -230 or -236?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174 and 2001?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 4. Calculate the least common multiple of 1 and x(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 46, 61, 82, 109?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -96. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 362 and 180?\nAnswer: 32580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a decade in months?\nAnswer: 3420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197044 to the power of 1\/2, to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, h: 2}. Give prob of sequence nn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1656 and -119\/414.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 1370?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1045 + 1061. Solve -9*a + r + 29 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 527013765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 12:13 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 589.0287 - 589. What is d rounded to 3 dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-19)\/h**(-7))\/(h**(-2\/23)\/((h*h\/(h*h**(-2\/17)))\/h)))**16 assuming h is positive.\nAnswer: h**(-73792\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2398 and 39842.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13345 (base 9) to base 4.\nAnswer: -2031020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 4*b - 12 + 3\/2*b**2 - 1\/3*b**3. Factor u(q).\nAnswer: -(q - 4)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 - 27*q - 49*q + 69*q + 7. What is the remainder when 14 is divided by c(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 6:52 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -2*w**2 - w**6 - 2 - 1 + 0*w**6. Find the second derivative of u(t) wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -5*w + 10*w - 5*p, -5*p = 3*w - 37. Solve 3*f - w = -4*y, -2*f = -3*f - 5*y + 23 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 447 = -557. Solve -4*d + 19 = 7, -5*y = d + v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4 - 336*c**3 - 5462*c**2 - 5124*c = 0. What is c?\nAnswer: -14, -1, 0, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 11:42 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 3*v - 140. Suppose 72 = -2*s + 6*s. What is the lowest common multiple of s and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61302?\nAnswer: 2, 3, 17, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 41 + 6\/2 + -3. Suppose 3*m = 6*j - j - s, j = 5*m + 17. Suppose j*g - 12 = 4*g. Solve k = -0*k + g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y + 7. Let m be c(-1). Solve -g = 3*i + 17, i + m = -3*i + g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321500 divided by -64300.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Suppose -h + d*h + 2 = 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 19*o**2 - 3*o - 1. Let x = 17 + -7. Suppose 5*w - 3*m + x = 0, -4*m = 3*w + 3 + 3. Let r be n(w). Calculate the highest common factor of r and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 7 + 10 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s - 4. Let l be a(8). Calculate the remainder when l - -2 - (-1 + 1) is divided by 36*(1\/3 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzf when three letters picked without replacement from {f: 2, z: 7, y: 6}?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, -72, -272, -668, -1326, -2312, -3692, -5532?\n\"Answer: -11*i**3 + i**2 + 4*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-36)*(-3360)\/7455 and 59\/2556.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 - 3*u**2 - 2*u**2)*(17*u + 57*u - 29*u) - u + u + u**3 + (2*u + u - 2*u)*(2*u**2 + 0*u**2 - 4*u**2) + 0*u**3 + 2*u**3 - u**3.\nAnswer: 45*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**2\/2 - 1383*q + 31152 = 0. What is q?\nAnswer: -944, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292479312 divided by -16879.\nAnswer: -17328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 8*i + 3. Let y be d(-8). Solve y*k = -a + k + 14, 3*a - 3*k = -3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 147*n**2 - 182*n - 5036. What is g(-148)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -2a?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 415.1 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4, -2, 7, -5, 0.0948, 14 in descending order.\nAnswer: 14, 7, 4, 0.0948, -0.2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 187001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1757, 1692, 1627, 1562?\nAnswer: 1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - h + 1. Let p(w) = -w**3 + w**2 - 6*w - 9. Let i(g) = 6*f(g) + p(g). Determine i(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 375.4262 to the nearest integer.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 49 = -4*f + 1, 93 = 4*k - 5*f. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2146 + 2142. Which is the closest to 2? (a) -1\/4 (b) -1\/11 (c) 0.1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -11, -19, -39, -77?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.294 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 34*y + y**2 + 56.\nAnswer: y**2 - 34*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 at least as big as -147449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 6, q: 7, h: 2, c: 1, o: 2}. What is prob of sequence cb?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/18 and (-3073)\/(-3045) - (-10)\/(-25).\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77.24 + 76. Let a = -0.76 + r. Let v be (-1 + 2)*(-5)\/(-10). What is the second smallest value in v, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6993?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1.5, 2.2, 69.785?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6550 + -6548. Solve 3*c = 4*r - 11, 2*r + c - 19 = -f*c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppdppdppdpppdppp. Give prob of picking 3 d and 1 p.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 - 4*v - 2. Let h be b(2). Let l = h - -22. Suppose 0 = l*f + z - 3 - 82, -2*z = -4*f + 70. What is the remainder when f is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.3 (c) 2\/77 (d) 2\/11 (e) 133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 2*sqrt(200) - (sqrt(2) + ((sqrt(4)\/sqrt(2))**2 + sqrt(2))*-1)) + -5 - 3*sqrt(14)\/((sqrt(210)\/sqrt(6))\/sqrt(5)).\nAnswer: -3 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3386619, 6773242, 10159865?\n\"Answer: 3386623*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 47. Suppose j = 3*u + 5*a - 5, -a + 7 = u. What is the smallest common multiple of 3 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 1, d: 5, g: 2}. What is prob of picking 1 g and 1 u?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -110.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -5. Let x = 6 + t. Let i = x + 38. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Let o(k) = 23*k**2. Let m be o(s). Suppose 2*d - m = -c, 3*d - 3*c - c = 7. What is the greatest common divisor of 6 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*t - 20. Let j be -4*3\/90 - 60\/(-450). Solve 0*l - l - t = j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijij when four letters picked without replacement from {i: 5, j: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 3*k - 20 = 0. Suppose 7048698 = -k*t + m + 1448693, 0 = -4*m + 20. Round t to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 2*v**2 - v - 2. Let u be r(3). Suppose -n - u = -31. Let y = 45 - n. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*r + 22 = 0. Suppose -5*x = -v - 278, x + 2*v - 49 = -0*x. Calculate the greatest common divisor of x and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54376 - 54350.207. Let v = -25.8 + q. Is v at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -11. Calculate the remainder when 25 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0 (c) 3\/8 (d) -1580 (e) -2 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1393 and -0.3.\nAnswer: 417.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6aa (base 13) to base 3.\nAnswer: -1120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3077*q**2 + 3077*q**2 - 188*q**3.\nAnswer: -188*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 66a7561?\nAnswer: -66a7566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528226389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 5*s + 3*k, 5*s + 36 = 4*k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10254620 is divided by 296.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 363*m + 129*m**2 + 116*m**2 + 369*m + 357*m - 1103*m as d*m**2 + n + k*m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2815348 rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**2 + n + 1. Let k be w(-1). Suppose 7 + k = 6*x. Suppose x*l = -l - 9. Put 5, 7, l in ascending order.\nAnswer: l, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -8*b**2 - 15028*b - 37520 = 0.\nAnswer: -1876, -5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*w = 80, s + s = w + 38. Let b = -3 + s. Find the second derivative of 20*k**5 + b*k**5 + k - 40*k**5 wrt k.\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 8*u + 824000. Round u to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 391*g**2 + 298*g - 35876. Give c(-390).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/2 + 1806*w + 543606.\nAnswer: 3*(w + 602)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:34 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.30612 and -0.03.\nAnswer: 0.27612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43778832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111101 (base 2) in base 9?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 373329026?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -295*o**3 - 5*o - 346*o**3 + 1539 - 1541 + o in the form h + j*o + a*o**2 + i*o**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*r = -1443 + 438. Solve -12*i = r*i + 135 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28244, 112980, 254206, 451922, 706128, 1016824, 1384010?\n\"Answer: 28245*z**2 + z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4770)\/2*9\/(108\/(-8)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*t - 2*g, -60 = -5*t + 7*g - 9*g. Calculate the greatest common divisor of 42 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1322, -2663, -4036, -5441, -6878?\nAnswer: -8347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -24, -3, -34, 12 in increasing order.\nAnswer: -34, -24, -13, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -0.183 (c) -6 (d) -35 (e) -3 (f) 8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.30379793 to 4 dps.\nAnswer: -1.3038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -513 + -9a2?\nAnswer: -eb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1372013 less than 0.184415?\nAnswer: 1372013.184415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/32842923 or 0?\nAnswer: 1\/32842923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -51. Let o = b - -15.999995. What is o rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*c - 2*v + 46 = 0, 3*v = -2*c + 39. Suppose -5*o - 8 = c. Suppose -13 = 5*i - l - 4, -i + l = 1. Sort o, i, -1 in ascending order.\nAnswer: o, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 4*x + 2. Let t be n(-4). Suppose -4*a + 22 = m - 8*a, -t*a = -5*m + 146. What is the highest common divisor of m and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 - 2 + s + 0 + 0. Let m be z(1). Suppose -5*y = m*l + 5 - 1, 0 = -4*l - 2*y + 8. What is the highest common factor of l and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2. Let p(k) = -18667*k. What is p(r(m))?\nAnswer: -37334*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 198 = -8*j. Let p be (-9 + 7)*j\/(-4). What is the highest common factor of 22 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t**5*t))\/(t*t**(-3\/5)\/t))\/(t**(1\/4)*t*t**3*t*t))\/((t\/t**(-2))\/(t**5*t)*(t*t*t**(-1\/2))**(-46)) assuming t is positive.\nAnswer: t**(1247\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3\/3 + 34*r**2\/3 + 88*r\/3 + 56\/3 = 0 for r.\nAnswer: -14, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/28)\/(5\/(-40)*30).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38a3 (base 16) to base 9.\nAnswer: 21800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/4 + 7*z**4\/4 - 19*z**3\/4 + 25*z**2\/4 - 4*z + 1.\nAnswer: -(z - 2)**2*(z - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*r**2 + 13*r**2 + 5*r**2 + 3*r**3 + 3*r**2.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/30)\/(((-1)\/(-2))\/((-4)\/(-4))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2054 is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 + 1. Suppose 15 = -2*n - 3*n. Let r(b) = -b**3 - 2*b**2 + 3*b + 1. Let o be r(n). Let h be (-1)\/(-1) + o + -1. Determine i(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(1161\/(-2))*(-1653)\/(-551)?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 5*i**3 - 7 - i - 4 as d*i**3 + n + l*i + a*i**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(2 - 1 + 2) + (1 + 1 + 1)*(-5 + 3 + 3))*(-10 + 10 - 5*j) - 2*j + 5*j - j.\nAnswer: -43*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141 - 89*k - 141.\nAnswer: -89*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 + 7 = 0, -d - 1939998 = 2*l. What is l rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -30000113 (base 4) to base 2\nAnswer: -1100000000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1456*f - 2899*f + 16 + 13 + 1452*f - 12. Let v(r) = 14*r + 26. Determine -8*c(b) + 5*v(b).\nAnswer: -2*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6595610484 from -138.\nAnswer: -6595610622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8075, 8087, 8099?\nAnswer: 8111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 561.7467*-39.\nAnswer: -21908.1213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -108300282.364?\nAnswer: 108300282.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)*p*(p\/p**(-4))\/p*p\/p**10*p**(2\/7)*p)**(-1\/4) assuming p is positive.\nAnswer: p**(71\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35\/18 + 271\/306. Which is bigger: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 - 68. Let x be -4 - (-26 + 8\/v). Which is smaller: 20 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -1. Suppose -6*c + 0 - 6 = 0. Let f be (m\/4)\/(c\/(-10)). Put 3, -4, f in decreasing order.\nAnswer: 3, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 72786452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by (-2)\/5 - (-2992)\/80.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 12 = c. Suppose 5*z - c*z + 8 = 3*i, 5*z - 15 = 4*i. Solve -2 - z = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*x + 6, 0 = -6*z + 8*z + 4*x + 8. Suppose 5*i + 3*l - 97 = z, l = 5*i + 2*l - 99. Calculate the remainder when 89 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-2) - 1\/1. Let j = -124 - -122. Let d(r) = -r**3 + 2*r**2 + 2*r - 3. Let a be d(2). Sort a, j, z.\nAnswer: j, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(3 - 52\/12). Suppose -a + 1 = -2*y - 3, -u*a - 4*y = -2. Suppose 0 = 6*j - 2*j. Solve -2 = a*p - j*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*m**4 - 120055755*m**3 - 26691445753595*m**2 + 2965726570035*m + 1977145118010 = 0 for m.\nAnswer: -444651, -2\/9, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12571715909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**3 + 7*f**3 + 25*f**3.\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2.2. What is the second biggest value in -3, k, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f + 12 = 23*f + 5*x, -4*f = -x - 6. Sort 1, 3.7, f.\nAnswer: 1, f, 3.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2072751 divided by 1137.\nAnswer: -1823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -1\/21*j**6 - 4\/35*j**5 + 0*j**3 + 0*j**2 - 1\/14*j**4 + 0*j - 3. Find u, given that w(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.71 + -0.29. Let f = 5 - 7. What is the third smallest value in r, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/36 and 143\/16313952.\nAnswer: 48941856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:20 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/5 and 0 - (1160\/252 - 6)?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1342231*k**3*m + 26*k**2*m - 11*k*m + 297*m + 2395 wrt k?\nAnswer: -8053386*k*m + 52*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 54 - 94 = 0. Solve 64 = 36*p - c*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 1774*p**2 - 1774*p**2 + 9*p**3 - 16*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u - 5. Let l(d) = 30*d. Determine l(m(b)).\nAnswer: -90*b - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*k - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 143*o + 15808. Let j(m) = 4*m. Give r(j(g)).\nAnswer: 572*g + 15808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*y + 0*y - 8*y as f + q*y and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 10. Let n be f(-10). Solve -9 = -n*q - 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35404 to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -494 + 493. Let w be ((-9)\/(27\/(-15)))\/(1\/u). Sort 28, 0, w, 2.\nAnswer: w, 0, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**2*n - 65*b*l**3*n - 8*b*l*n + 7*l**3 + 257*l*n wrt b?\nAnswer: -2*b*n - 65*l**3*n - 8*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-24))**(-47)*(((n\/(n\/((((n\/(n**49*n))\/n*n)\/n)\/n)))\/n)\/n*n)**(-1\/8))**30 assuming n is positive.\nAnswer: n**34035","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 11:24 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43724 + -5?\nAnswer: 4371c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6 + 20 = 0. Suppose 16*j = 18*j - 68. What is the remainder when j is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/40*(-6)\/9.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 5:40 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*l + 8846 = 0, 4*z + 3515 - 10603 = -4*l. Suppose -13*d + 7*d + z = 0. List the prime factors of d.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8932 - 127\nAnswer: -127.8932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:04 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**19*y*y**(-3)*(y*y**(-29)*y)\/((y**(2\/5)\/y)\/y))**(-4\/23) assuming y is positive.\nAnswer: y**(148\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84*j**2 - 44596*j - 134544.\nAnswer: 4*(j + 3)*(21*j - 11212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 42*a + 76. Let v be z(-8). Let t be ((-18)\/(-10))\/((-39)\/v). Suppose 0 = -6*u + 7*u - 48. Calculate the highest common factor of t and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*n - 1012 = 0, 5*r - 5*n + 2405 = -2735. Round r to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*j + 90, -2*j = 3*f - 3*j - 90. Let u = 19 + f. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44770825*u**2 - 12946532*u?\nAnswer: -89541650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 54 and 44.755.\nAnswer: 98.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6.4*8393\nAnswer: 53715.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ab9 (base 15) to base 10.\nAnswer: -9174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -31.007 and 1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.59 and -0.035401.\nAnswer: 0.554599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 294.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 52107286*i - 156321876.\nAnswer: 2*(i - 3)*(i + 26053646)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.145233 and -2700175.\nAnswer: -2700172.854767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 5*i**4\/4 + i**2\/2 - 4*i + 2. Let s(n) = -6*n**3 - n + 5. Determine 5*p(l) + 4*s(l).\nAnswer: l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 92.7? (a) -2 (b) 9.98 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*r - 7 - 4 + 135*r + 31*r + 1 - 304*r.\nAnswer: -r - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 20 = 0, -t + 4*h + 18 = 1. Let a be ((-2)\/(-4))\/(t\/18). What is the greatest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*c**2 + 11*c**2 - 7 + 43*c**3 - 44*c**3 wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, -40 in descending order.\nAnswer: 6, 3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/42 and -13\/1824?\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1326 or 17244\/13?\nAnswer: 1326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-636*l + 16 + 7*l**3 + 636*l)*(-l - 3 + 3) to the form m*l**2 + u*l**3 + r*l + i + g*l**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0.2. Let n = b + 0.2. Let g = 14.43 - 14.93. Put g, 7, n in increasing order.\nAnswer: g, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -35, -40, -47, -56?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 2881 + 1341. What is the remainder when r is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (-33 - (17 + -26 + -38)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166262138 or -166262137?\nAnswer: -166262138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1582 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1512707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 85*j**5\/4 - j**4\/4 - 8*j**3\/3 - 3*j + 31. Find the third derivative of i(k) wrt k.\nAnswer: 2550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55407826 to the nearest integer?\nAnswer: 7444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 18. Suppose -2*h = -3*j + 22, -2*h + 5*h = -j - 11. Calculate the smallest common multiple of q and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 + 2*p + 2*p + p**4 - 2*p + p**2 - 2 + 5 as x*p + w*p**3 + m*p**4 + q*p**2 + z and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86266.\nAnswer: 2, 43133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 411087\/326 - 1261. Let x = d - 6767\/815. Find the common denominator of 41\/6 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*i*t + 60998*i + 9119*t with respect to t.\nAnswer: 7*i + 9119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7285, -29701, -67203, -119785, -187441, -270165, -367951, -480793?\n\"Answer: g**3 - 7549*g**2 + 224*g + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**2 - 2*d**3 - 212*d + 2295 + 213*d + 8*d**2 + 3*d**2 to the form t*d**2 + o*d**3 + w + y*d and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000366837 rounded to 6 decimal places?\nAnswer: -0.000367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let q = 3 - -3. Let h = 3 - q. What is the third smallest value in 1\/3, h, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1653 and 15941.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 4*i - 9*i + 415 - 436, -2*c = -2*c - 3*i + 3 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -15*r - 2. Let x be -1*3\/6 + (-5)\/(-2). What is the remainder when m(-3) is divided by ((-20 + 2 - x) + -2)\/(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxrrxrxyxrxxyxxxrr.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 644856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 54, 138, 242, 354?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**5 + 0*q**5 + 0*q**5)*(22 + 78 - 34).\nAnswer: -198*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.29 - 194.39. Let x = -603 - b. Round x to the nearest ten.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z. Let y be o(4). Let u be 2\/(-8) - 53\/y. What is the greatest common factor of 52 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 6*o - 15. Let l be d(8). Suppose 7 + l = 4*y. Suppose 0 = y*i, -n + 65 = i - 0*i. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 11 - (7 - (1 + -15))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by -7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 133, 298, 529, 826, 1189?\n\"Answer: 33*q**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9642 times -0.0264\nAnswer: -254.5488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 7. Let l be (-144)\/u - (-2)\/(-5). Let h be (-1)\/26 + (4 + 1)\/l. Are -2 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**2 + 5*h - 8. Let f(t) = -7*t**2 + 4*t - 9. Let w(s) = 5*f(s) - 4*n(s). Let g(c) = -2*c. Give w(g(y)).\nAnswer: 4*y**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 7. Let d be 2\/(-4) + 11\/(-2). Let l(z) = z**2 - 2*z - 5. Let n be l(4). Let c(k) = -n + 5 + 0 - 1. What is d*c(b) - v(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - -4. Let o(q) be the first derivative of -q**4\/4 - 3*q**3 - 4*q**2 + 16*q + 9. What is the least common multiple of o(-8) and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2022 + -0.034?\nAnswer: -2.2362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88150.\nAnswer: 2, 5, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -28. Let q(n) = n**3 + 18*n**2 - 6*n - 57. What is the remainder when q(-18) is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 0*r - 4 + 2 + 2*r. Let w be i(5). Let g(s) = 3*s**2 + 7*s + 5. Let m be g(-2). Solve -m*k = 2 - w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 26*f + 3. Let s be a(-2). Let g = -19 - s. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -448 - 1187*k**3 - 247 - 456 + 99 with respect to k.\nAnswer: -3561*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-33))\/((-2)\/2 + 2 - 2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 297, 301, 305, 309?\n\"Answer: 4*f + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.43 and 0.20318.\nAnswer: 0.0873674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2 + 209*p - 80. Determine j(-38).\nAnswer: 2086","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -26. Let q be 0 + z\/(-7) + 10\/35. Factor b**3 + 2*b**2 + 3*b**3 - q*b**3 - 2*b - 2*b**4 + 0*b**3.\nAnswer: -2*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/((-4)\/2))\/((-454)\/(-227)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2447 is divided by 203.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.699266 - 0.7429121. Let u = p + -9.9562339. Let m = u + 10. What is m rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -9. Let n = t - 10. What is the second biggest value in 0.4, -2\/15, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 6:48 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, s: 13}. Give prob of sequence as.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, -0.03, -3\/4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 + (-2 - -7)) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122111 (base 4) to base 11.\nAnswer: -4386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 4:54 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + (50 - 52)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**6*m\/m**6)\/(m**(-3))**(-48) assuming m is positive.\nAnswer: m**(-154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 14401652?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75322869.\nAnswer: 3, 17, 1476919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - c. Let m(n) = -35*n**2 + 1 - 5 - 3*n + 30*n**2. Let f(x) = -4*l(x) + m(x). What is f(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4013072.\nAnswer: 2, 7, 35831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 3*f - 5*u, -16 = -2*f + 10770*u - 10769*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -758 - -226?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 133. Let c = 113 + v. Solve -7*f + 3*f = c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*w = 4, -6*k - 2*w = -8*k - 116 + 112 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m + 36*m + 5 - 1 + 11. Is 48 a factor of i(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = 36*r - 224 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-7))\/(k*k**2))**(4\/7)*(k**1\/(k\/(k\/k**1*k)))**(-34) assuming k is positive.\nAnswer: k**(-218\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -3*h + h. Let w = 1340 + -1336. Suppose -a = -w*m - h, 2*a - 210 = m + 86. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2286471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1226753\/135 + -9087. What is the common denominator of m and -121\/324?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uekk when four letters picked without replacement from eekxkeuexkk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (2 - -3) - -10) + (12 - 2)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9273 - -11185. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.2 (c) 92 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 7*t + 2. Let p be o(-7). Let y = -1 + 2. Let i be y - 3 - (-16)\/p. Solve 4*d - i - 10 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25232715 (base 9) to base 10.\nAnswer: -12362963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6 = -0. Let i be 48\/15 + (n - 1). Which is the closest to 1\/4? (a) 0.1 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776099?\nAnswer: 776099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(425) + 0)**2*3 - (sqrt(425) + -4 + -1 + -2 + sqrt(17)).\nAnswer: -6*sqrt(17) + 6382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a + 2. Let w(x) = -6*x - 4. Let f(r) = -r + 1. Let j(o) = a*w(o) + 4*f(o). List the prime factors of j(7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*z + 104 = 3*c, 5*z - 15 = 0. Suppose -c*o = -84*o - 25. Let d = 0 - -2. Solve -d*j = -13 + o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/28? (a) -9\/2 (b) -0.3 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/r**11)*r**(-1\/49))\/(r**(-15)*r**26) assuming r is positive.\nAnswer: r**(-50\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -11*o**8\/28 - o**6\/15 - o**4\/12 + 17*o**3\/2 + o - 1. Find the third derivative of x(b) wrt b.\nAnswer: -2640*b**3 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9116096 and 54648?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 19, 4 in descending order.\nAnswer: 19, 4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 2*r**2 - 4*r + 4. Let p be w(0). Solve -2*f - p*x - 12 = -f, -5*x - 16 = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d - 50 = 0. Suppose -4*j + 6*j = d. Let p(s) = -5*s**2 + 5*s + 9*s**2 - j*s. Let b(m) = -m**2. Determine b(p(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -8 - 26*a - 7*a**2 - 19 - 5 + 10 - 17*a. Let q be w(-5). Solve q + 7 = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in -2, 216.2, -15, 5, 1\/8, 2\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*j + 2*j. Let y(q) = 10*q - 1. Let l(k) = -k - 1. Let v(m) = j*l(m) + y(m). Let u(f) = -3*f. What is v(u(h))?\nAnswer: -33*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 889 = -3*j, -2*j + p = -6*j + 1177. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2002 * 156291\nAnswer: -31289.4582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/((-5)\/(675\/18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 294606, 1178415, 2651430, 4713651?\nAnswer: 7365078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**2*((w*w\/(w\/w**(-4\/5)))\/w*w*w)\/w*(w\/(w\/(w**(-1\/19)*w)))\/w**(-38) assuming w is positive.\nAnswer: w**(3909\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678112 = -3998*z - 190356 for z.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(16\/3)\/((r**1\/r)\/r)**(-1\/71) assuming r is positive.\nAnswer: r**(1133\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 15*k**2 - 30*k + 34. Calculate m(-17).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 9. Let j be m(6). Let b = -13 - -13.5. Put 1, b, j in decreasing order.\nAnswer: 1, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 11:04 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**6\/120 - d**5\/60 - d**4\/24 + 2*d**3\/3 - 13*d**2. What is the least common multiple of 14 and w(2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(1 + -3) - (3 + -28). Let x(l) = s - 55 + 35 + 3*l. Let q be -1 - (-2)\/(-4)*10. Determine x(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 18 = -6*m. Calculate the remainder when 78 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 7*p - 3*m = 11, 4*p + m - 5 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 1. Suppose 4*l + n - 16 = -3*n, -8 = 4*l - 4*n. Let f be 4\/1*l\/(-2). Determine x(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 6:50 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u - 35. Let m(n) = 3*n - 18. Give -5*m(b) + 3*y(b).\nAnswer: -3*b - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -56*n - 1. Let s be m(-1). Suppose 4*i + 15 = g - 5, i - 121 = -5*g. Let v = s - g. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4668 and 6636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, g: 1}. Give prob of sequence llgl.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-6)*(-3)\/2. Suppose a*o - 10 = 10. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**3 + 72*w**2 - 75*w - 2. Let p be y(-25). Which is the closest to p? (a) 1\/2 (b) 0.06 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 1. Let p be d(1). Solve p*i + 2*i + 10 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186642.\nAnswer: 2, 3, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2180082.53072\nAnswer: -2180083.53072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 238, -0.031?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 1961728*k - 1961723*k - 25, -12 = 2*k + 4*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 16*z**2 - 27*z - 90. Let s(y) = -11*y**2 + 18*y + 60. Let x(w) = 5*l(w) + 7*s(w). Suppose x(o) = 0. Calculate o.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35519*x**3 + 29913?\nAnswer: 106557*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518*d + 1033*d - 516*d - 105*d**2.\nAnswer: -105*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19017 and 14607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2596317 to the power of 1\/2, to the nearest integer?\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**14)**(-12\/7) assuming q is positive.\nAnswer: q**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(250\/20)*(-1)\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1243 = 4*b - u, -248 = 5*b + 4*u - 1828. Let g(r) = -r**2 + 13*r + 212. Let v be g(20). What is the highest common factor of b and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**(1\/36)\/((y**(4\/3)\/y)\/y**(-3)) assuming y is positive.\nAnswer: y**(-179\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4969 + -4968.8. Which is the third biggest value? (a) -4\/7 (b) -1\/3 (c) -3 (d) s (e) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1.038 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k - 17. Let y be (20\/6 - 2)*(-54)\/12. Let v be m(y). Calculate the greatest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -455 + 815. Suppose s + 16 - 59 = -5*i, -5*s = -4*i - r. Calculate the greatest common factor of 34 and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*q - 7715 - 4459 - 7396 = 0 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4419426\/13, -1.1, -0.3, -0.1 in descending order.\nAnswer: 4419426\/13, -0.1, -0.3, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*t - 28, t = -2*i + 12 + 2. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7}. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-1)\/(-3)) + 1849\/43. Solve 0 = -44*i + w*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-2)\/8 - 2. Let y = -93.7 + 96.7. What is the nearest to 1 in f, y, -3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 + (3 - -2 - -5). Let a be (-8)\/16*-2 - (j - -1). Sort 4, 3, 25, a in decreasing order.\nAnswer: 25, 4, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgtgtgtttgt. Give prob of picking 2 g.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-658)\/49 + 14)\/((-2)\/(-49)). Suppose -y - 4 = -2*y. Let h be y\/(-6) - 88\/(-6). What is the greatest common factor of z and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/4*(-2)\/1. Suppose -26 = 2*l + 54. Let j = l + 54. Solve -j = -f*z + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15220 - 3?\nAnswer: 15213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/64124 and -31\/28?\nAnswer: 448868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34059006*i**3 + 214262*i**2 + 13*i + 3 wrt i?\nAnswer: -204354036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224 by -1853.\nAnswer: 224\/1853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (2 - (18 + -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (sqrt(1088) + (sqrt(1088) - sqrt(1088)*-3)*3)) + sqrt(1088))**2.\nAnswer: 131648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3803055 and 27?\nAnswer: -102682485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 2:14 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v - 32 = 2*o, -4*v = -3*o - 42. Let m = 22 - -13. Calculate the smallest common multiple of 122\/14 - o\/m and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 1. Let y(v) = 3*v**2 - 4*v - 6. Let z(m) = -2*c(m) + y(m). Let p be z(5). Let s be ((-13)\/39)\/(43\/(-30) - -1). Which is bigger: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*i**3 - 67*i**3 - 68*i**3.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 2*i + 4. Let k be -2 + 13 + 58\/(-29). Suppose 5*w - 6*p + 21 = -k*p, 4*w - 4*p = -4. Determine m(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -1\/120*x**6 + 1\/24*x**4 - 2*x**2 + 0 - 1\/3*x**3 + 0*x - 1\/20*x**5. Does 5 divide n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*7\/((-70)\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**2*w**4 - v**2*w**2 + 16*v**2*w + 98383539*v*w**4 + 1353*v*w**2 + 4*v + 80*w wrt w?\nAnswer: 48*v**2*w + 2361204936*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3570.929 nanograms in grams?\nAnswer: 0.000003570929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (sqrt(2736) - (sqrt(2736) + 0) - sqrt(2736)))*-5 - sqrt(2736)*1*-6)**2 + -4.\nAnswer: 43772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34 less than -14223?\nAnswer: -14222.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.73 - -0.63. What is the nearest to 0 in m, 5, -7\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, i: 3, h: 1}. Give prob of sequence ha.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5 - 286*l**4 + 615*l**3 + 11192*l**2 - 11920*l - 115200 = 0. What is l?\nAnswer: -288, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159585 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6634*z - 18123 with respect to z.\nAnswer: 6634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71*((-4)\/88)\/(87\/(-1914)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1018.152 and -268321?\nAnswer: 269339.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(12\/3)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -33*z - 6. Let k(b) = 232*b**2. What is o(k(h))?\nAnswer: -7656*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -2*d + 5*d. Suppose 3*k - 4*f - 92 = d, 3*f + 39 = k. Let g = k - 43. Solve h = -0 + g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21586 and 23994.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 423 divided by -47.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9171 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12535\/4 + -3164. Let t = r - -30. Let u be (-4)\/(-34) + 0 + 2025\/850. Which is the closest to 0? (a) -2 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 101 - 11252?\nAnswer: -11151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 6 - 1. Let q(m) = -5*m - 6. Let g(n) = -2*n - 2. Suppose -f - 7 + 15 = 0. Let v(i) = f*g(i) - 3*q(i). What is v(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1709 times -6?\nAnswer: -1.0254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 67*m + 0 - 6 + 52*m + 5.\nAnswer: 119*m - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10574 - -10544. Sort r, -5, -3.\nAnswer: r, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116711990 divided by 670.\nAnswer: -174197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*u = -50*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, n: 8, l: 3}. Give prob of picking 1 n and 1 q.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2625)\/(-20))\/(-7) - 4 and -19\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 2*x**4 + 10*x**3 - 14*x**3 + 12*x**2 - 4*x**4 + 2*x**3 in the form y + h*x**4 + j*x**2 + r*x**3 + t*x and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.17011 and -4172.\nAnswer: -4167.82989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18165515.\nAnswer: 5, 23, 137, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7290 and 125610?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 7*k = -0*x + 4*k, x + 2*k = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 14*v + 108. Let z be c(17). Is 157 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, -2\/9, -6, -0.05?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o - o**2 - 5*o - 4*o. Calculate t(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 10. Let w be g(11). What is the units digit of w + 1 + 0 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -31*t**2. Let v(u) = -3079*u. Give m(v(h)).\nAnswer: -293887471*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -39*j - 7. Let t(k) = -116*k - 20. Let g(h) = 3*t(h) - 8*v(h). Let b = 25 + -27. What is the tens digit of g(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 2. Suppose -z*o + 3 = -1. Let b(k) = 6630*k - 53041. Let v be b(8). What is the nearest to v in -8, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 25265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 48040*x**2 - 33 - 48088*x**2.\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -924.77651 - -5.\nAnswer: -919.77651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 17436*d - 400499. Determine b(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 735007 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-4))\/o**6)**(12\/5) assuming o is positive.\nAnswer: o**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -7. Solve -19 = -3*k - 5*i, 0*k + i - c = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2. Suppose 31 = 5*b + 1. Suppose 0 = 2*q - 0*q - b. Let c(w) = w + q - 3. Calculate v(c(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 2 + 9*d + 1\/2*d**2 + 1\/3*d**3. What is the units digit of l(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 39 = 4*a - 10, 5*a = j - 28 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 + 795. Let w be ((-15)\/(-2))\/(9\/b). What is w rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -146 and 19240.7876.\nAnswer: 19094.7876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(98) + sqrt(98)*2 + 1 + -2 + sqrt(98).\nAnswer: 3 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 505?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l - 27. Let c be d(-10). Suppose c*b = -4*g + 44 - 9, -5 = 2*g - 3*b. Suppose -5011 = -4*p - 5*k, -g*p - 4*k = -3703 - 2572. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 3, 14191 in descending order.\nAnswer: 14191, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27538039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -365 - -365.5. Which is the closest to -6? (a) v (b) -0.1 (c) 3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 177.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c. Let j(y) = -52208*y**2. Give z(j(s)).\nAnswer: 522080*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/18)\/((-1)\/3). Let x = 167.2 + -167. Which is the nearest to 2\/7? (a) x (b) 0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6137, 12275, 18413, 24551, 30689, 36827?\n\"Answer: 6138*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 1, q: 1, x: 5, o: 1}. What is prob of sequence uoq?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihky when four letters picked without replacement from kyhiihkkk.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030\/(-28) - (-932 - -849)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6440 by -56.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 + 2*r + 3. Let w(n) be the second derivative of -n**4\/12 + 406*n. Let x = -228 + 225. What is x*w(k) - q(k)?\nAnswer: -k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.4 or -946?\nAnswer: -946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2*18\/72).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-25)\/2)\/(-5)*2. Suppose -4*o + b + 85 = 6*b, 2*b - 22 = -o. Suppose -f = -w*j + f + 136, -j = -4*f - o. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -843 = 13*a - 908 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 40.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/5 - 17*z**2\/5 + 16*z - 64\/5 = 0. What is z?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -6, 3, 24, -4 in ascending order.\nAnswer: -6, -4, 3, 18, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2697361 and 7?\nAnswer: 18881527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 36*s**2 - 130*s + 4. Determine m(5).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/7 + 36*x**2\/7.\nAnswer: 4*x**2*(x + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**3 + 13490740*z**2 - 67453624*z + 80944320 = 0.\nAnswer: 2, 3, 3372680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 101141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912\/2052*(99\/(-11))\/(2*43).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 328, 295, 284, 295?\n\"Answer: 11*n**2 - 66*n + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3864\/175)\/(-4))\/(465\/775).\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 422137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**2 + 14*t + 5. Let y(s) = 46*s**2 - 97*s - 35. Determine 20*f(q) + 3*y(q).\nAnswer: 18*q**2 - 11*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z**3 + 2*z**2 + 2*z + 1. Suppose q = -0*q - 2. Let n = q - -1. Is w(n) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/900)\/((-1)\/(-10))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 c when three letters picked without replacement from qtgktxgggggcggqcqqqc?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-160))\/(6\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -23*j**2 - 9*j**4 - j**4 + 23*j**2 + 6*j**3 + 66. Let i(b) = 19*b**4 - 13*b**3 - 133. Let z(q) = 6*i(q) + 13*p(q). Differentiate z(w) wrt w.\nAnswer: -64*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330726849 to the power of 1\/2, to the nearest integer?\nAnswer: 18186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**2*l - 4693*d**2 - 1814*d*l + 9551852*l wrt d?\nAnswer: 4*d*l - 9386*d - 1814*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/80*-8*9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/5)\/q)**(6\/7) assuming q is positive.\nAnswer: q**(-48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -267.5 (b) 0.049 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2367.\nAnswer: 2\/2367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7232180*i - 5355 = 7232129*i for i.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 2*r + 145. Let o be l(0). What is the highest common factor of o and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 11, -3\/4, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r + 31 = 3*v, -42 = -4*v + r. Suppose -3*f - 2 = -v. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46233?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.58956145092 and 5.\nAnswer: 10.58956145092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -1a69c744?\nAnswer: -1a69c745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -977*c + 310*c + 280*c + 224*c + 436*c + 236*c.\nAnswer: 509*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**4\/7 - 44*y**3\/7 + 156*y**2\/7 - 28*y + 80\/7 = 0. Calculate y.\nAnswer: 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2))\/((-4)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 + v + 14. Determine m(4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/371 and -32\/343.\nAnswer: 18179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2800)\/(-196) - 13 - 1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114.866 - 1.\nAnswer: -115.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*v + 988 = 6189 + 2014 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15361, -15350, -15339, -15328?\nAnswer: -15317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76413815, 152827612, 229241411, 305655212, 382069015, 458482820?\nAnswer: 534896627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -24*b + 6. Give o(4).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64\/609 + -5\/87. Let c = 75 - 74. Is b < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**5\/15 - x**4\/6 + 4*x**3 + 27*x**2. Factor z(a).\nAnswer: -4*(a - 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191*i**2*q**3 - 126*i**2*q**2 + 6*i**2*q - 6*i*q**3 + 25596*i*q wrt i.\nAnswer: 382*q**3 - 252*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 182 or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millisecond in microseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/52)\/(12\/(-26))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1279778509*x**4 - 18366*x - 12688 wrt x.\nAnswer: -15357342108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172675 divided by 5?\nAnswer: 34535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*d - 108*d - 192 = -0 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307 - 2*k**2 + 0*k**2 + 7*k**2 + 307.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 d when four letters picked without replacement from {u: 8, d: 8, a: 4}.\nAnswer: 784\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 406, 805, 1204, 1603, 2002, 2401?\nAnswer: 2800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78165 and 810?\nAnswer: 156330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**2 - 131*u - 8044. Determine i(-29).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 4:49 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 9866*u - 9871*u = -140, 2*u = 2*v + 44. Let r = 1237\/13 + -95. Determine q, given that -16\/13 - 24\/13*q + 6\/13*q**v - 4\/13*q**2 + r*q**4 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*21*(18\/48)\/(-3)*(-784)\/882.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27753 and 51.\nAnswer: 471801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2996 in -69, 3\/7, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4909 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27182039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, n: 4}. What is prob of sequence bn?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4181895 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26193, 26214, 26271, 26382, 26565, 26838, 27219?\nAnswer: 27726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - t**2 - 3*t)*(4*t - 3*t - 3*t) + (2 + t - 2)*(-3*t**2 + t**2 - 4*t**2).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12172 - -16644. What is the greatest common divisor of r and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74495424?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6554459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpepdmdmmpmm. What is prob of sequence ddem?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 + 151290*j**2 - 605152*j + 1815448\/3.\nAnswer: -2*(j - 226931)*(j - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2486 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96692 - 5884*j**2 + 96692 - 1889*j**2 - 2663*j**2.\nAnswer: -10436*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r = -6*r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -73*s. Let r(d) = 190*d + 897*d + 155*d. Let g(f) = 69*n(f) + 4*r(f). Let k(c) = c**2. What is g(k(h))?\nAnswer: -69*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:59 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 12972*z - 348057.\nAnswer: -3*(z - 4297)*(z - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8560107 grams in nanograms?\nAnswer: 856010700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 5*k - 0 + 4, 4*k = -2*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-45))\/(2\/(-2))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, 0.7, 0, 0.07 in decreasing order.\nAnswer: 0.7, 0.07, 0, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - p + 0*p = 360, 4*x - 5*p - 360 = 0. Let l = 105 - x. Solve 2*k + l = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -162.\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, a: 1, j: 2, x: 3}. What is prob of sequence ajv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-31 + 62) - -29.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 15, 0 = 3*l - 5*k - 0 - 3. Suppose -66 = 3*q - l*q. Let j be (-12)\/9*3\/q. Is 1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5153626526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158883 divided by -6?\nAnswer: -1158883\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-198)\/12))\/(4*(-43)\/(-12)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9486922 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + 31*b + 1. Calculate the remainder when v(-22) is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0863 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3. Let q be c(0). Suppose 2*y - 7*y + 3*h + 23 = q, 0 = y - 4*h - 8. Suppose 7*b - y*b - 42 = 0. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009546 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1960.5 * -1\nAnswer: 1960.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 - 26*d**2 + 62*d - 36. Let y(f) = -8 - 33*f - 154*f + 77*f**2 - 5*f**3 + 116. Let l(u) = -7*p(u) - 2*y(u). Factor l(s).\nAnswer: -4*(s - 3)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 634 - 568 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 24, -21, 0, 14, 2 in descending order.\nAnswer: 24, 14, 3, 2, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 183890, 0 in ascending order.\nAnswer: -2, 0, 183890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 2. Suppose 0*z + m = -5*z + 28, -4*m = 8. Let k(s) = 9*s - 11. Let r(t) = z*h(t) + k(t). Determine r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3194 + -2356. What is the remainder when a is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Let z be (-2)\/(9\/36 + 26\/(-40)). Suppose 0 = -0*l - z*l + 3*p + 25, 4*l - 47 = -j*p. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 9*x**2 + x + 11. Let p be -8 - (-1 - (-2)\/1). List the prime factors of d(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (2 + -23)*-3. Let p be 4\/(-14) - 207\/h. Differentiate -2*d**4 + 10*d**3 - p - 10*d**3 wrt d.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 1141*r - 174840. What is f(183)?\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 550 and 220?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1640*v**6 + 33*v**5 - 191*v**3 - 121394876*v**2.\nAnswer: 196800*v**3 + 1980*v**2 - 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -36. Let o(g) = 7*g + 12. List the prime factors of o(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 15*m**2 + 5*m - 38. Let u be q(-11). Let n = 579 + u. Solve 4 = g - 3*g - 4*w, n*g + 3*w = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 60 = -127 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 2 - 2)*1. Suppose -g*x + 713 = 111. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47074+-109\nAnswer: -47183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/5)*m)\/m)\/((m**(-2)\/m)\/m)*m**(1\/2)*m*m**(-9) assuming m is positive.\nAnswer: m**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 - 55694*p**2 + 83548*p - 27850 = 0.\nAnswer: -13925, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 1, 4\/9, 5\/9 in ascending order.\nAnswer: 4\/9, 5\/9, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3221?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105641*r**3 - 230697*r**3 + r + 2 - 2.\nAnswer: -336338*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 4 - 15 + 3*z - 2.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 15, -y + 160020 = -3*y - 4*m. What is y rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose s = -5*k + 6 + 1, -4*s = 5*k + r. What is the units digit of 2\/(-2)*k - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4964 - -5388. Is g at most 423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4982 to the nearest one hundred.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120.5787 microseconds to seconds.\nAnswer: 0.0001205787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 4*b + 140. Let z be p(22). Calculate the highest common factor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n + 258. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -105, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498*i + 1 + 13943 = 0 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 23990840*a**2 + 19.\nAnswer: -23990840*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j + 3 = 3*o, 4*o + 11 = -j. Solve 5*t = j*x + 15, 0 = -x - 2*t - 2*t + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 492\/10*((-30)\/9)\/1. Let n = -159 - o. Solve -1 = d + n*s + 1, 0 = 4*d + s - 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -146511 + -30?\nAnswer: -146541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18486817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 2*t + 8. Let i be d(-2). Which is smaller: i or 15\/458?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 3\/2, 0.2, 10 in ascending order.\nAnswer: -2\/7, 0.2, 3\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w + 37 - 37)*(0*w - w**2 + 0*w + (-2*w - 5*w + 5*w)*(2 - 2 - w) + 3 - 3 - 3*w**2) as b*w + o*w**2 + r*w**3 + a and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f**3 + 235*f**2 - 2041*f. Let r(a) = 31*a**3 - 917*a**2 + 8165*a. Let v(i) = -2*r(i) - 9*z(i). What is the second derivative of v(d) wrt d?\nAnswer: 60*d - 562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-7) + (-1058)\/(-322). Solve a*y - 3 = x - 4, -1 = -x + 2*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -256 - -467. Let g = p + -201. What is the third biggest value in 0.3, 2, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2418?\nAnswer: 2418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*h - 33 = 0, -2*c - 5*h = -c - 7. Let v(m) = m**3 + 7*m**2 + 5*m - 1. Suppose 17 = -3*x - 1. Calculate the remainder when c is divided by v(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100000 - -1010110100?\nAnswer: 1111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 223864207141.\nAnswer: 223864207139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*i**3 + 162*i**3 + 50*i**3 + (-3*i + 0*i + 2*i)*(2*i**2 - i**2 - 2*i**2).\nAnswer: 202*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2 - 127116*v - 127119 = 0. What is v?\nAnswer: -1, 42373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6744472 by 2.\nAnswer: 3372236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -912082532 - -0.6.\nAnswer: -912082531.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 60*a + 409. What is t(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a**2 + a - 5*a + 4*a + a**3 as y*a**2 + c*a**3 + z*a + x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -726880744707 - 6\nAnswer: -726880744713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27095 - 27094.7. Which is the third smallest value? (a) 700 (b) 1 (c) -2\/13 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56308*d + 14116*d + 14114*d + 13966*d + 14113*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -15*d**4 + 3*d**4 - 2*d + 4*d**3 + 2*d = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 0, 0 = 2*n - 4*d - 5 + 1. Let g be ((-9)\/n)\/((-15)\/(-40)*-2). Solve v = g*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73895*b**5 - b**3 - 34971*b - 1.\nAnswer: -1477900*b**3 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 355 - 357.024. Let o = 2 + h. Round o to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 7*o**2 + 8*o + 2. Let h be z(-8). Suppose -2*d = 4*s - 3*s - 11, 0 = 2*d + 4*s - h. Let r = -5 + d. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 41. What is the units digit of (-860)\/r + 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/23)*n**(1\/5)\/n*n*n**(-3\/4)*n*n*n*n\/(n**6\/n))\/(((n**(1\/3)\/n*n)\/(n**(-1\/9)\/n))\/(n*n*n\/(n**0\/n))**(-44)) assuming n is positive.\nAnswer: n**(-741397\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4, 1\/4, 2, -0.772?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22215216 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.33, 0.03, -4, -0.5, 1\/5 in ascending order.\nAnswer: -4, -0.5, -0.33, 0.03, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2 - 142*x + 75. Let f be h(-36). Let d(w) = -2*w + 2. Let m(p) = -p + 1. Calculate f*d(t) - 7*m(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9644 by 145.\nAnswer: -9644\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeeezeeeeze. What is prob of picking 1 z and 1 e?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.7 + -6.47. Let k = 0.47 + z. Sort 2, 1\/11, k.\nAnswer: k, 1\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(6\/17)*y\/(y*y\/((y*y*y\/y**(26\/3)*y)\/y)) assuming y is positive.\nAnswer: y**(-271\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51181 or 3\/986?\nAnswer: 3\/986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from xxxxdxxdxxdxdxdxxdx?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1686 + -1641 + (-1985)\/45\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9616405, -9616385, -9616343, -9616267, -9616145?\n\"Answer: 2*d**3 - d**2 + 9*d - 9616415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 < 243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11243302 (base 5) in base 12?\nAnswer: -4b6b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.363 - -14.\nAnswer: 13.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 146*v**2 + 28*v - 118. Is i(-55) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 403332 - 323?\nAnswer: 403004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 568 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 2:53 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*b + 6*b + 28, 3*b + 23 = 2*c. Solve 0 = -2*q + 6*q - c, -k = -2*q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -131220*n**5 - 728352*n**4 - 1039796*n**3 - 419704*n**2 + 22672*n - 288 = 0. Calculate n.\nAnswer: -18\/5, -1, 2\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/((-7)\/126*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.685 + 28284.\nAnswer: 28283.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 316771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**3 + f**2\/2 + f - 560. Let q = 0 - 1. What is x(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -12*o + 65. Determine i(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -1.1. Let t = 108.17 + -108. What is the third biggest value in -0.1, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.33417 to two dps.\nAnswer: -1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0735 and -37553.6.\nAnswer: -37553.5265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -268570 divided by 89\nAnswer: -268570\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by 777?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*h**3*w + 26874947*h**2*w + 4100*h*w + 28437*h wrt h?\nAnswer: 60*h*w + 53749894*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5007160 (base 9) in base 5?\nAnswer: -1140144233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**0)**(-44)\/(p**(1\/3))**(1\/32)*((p**(1\/6))**(4\/21))**(-3) assuming p is positive.\nAnswer: p**(-29639\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25626*d*t**4 + 2*d*t - 10*d + 2*t - 8 wrt t?\nAnswer: -307512*d*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1696 + -1676. Calculate the least common multiple of 72 and z.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -29*g + 66. Let h(z) = -7*z + 3. Give -4*h(x) + l(x).\nAnswer: -x + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82\/451 - 41\/165)*5\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ortt when four letters picked without replacement from {t: 6, k: 4, r: 1, z: 2, o: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 63?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1894?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/6 - 41360*l**2\/3 - 165437*l\/6 - 41359\/3 = 0 for l.\nAnswer: -82718, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 151*q**2 + 10*q + 10. Let h be f(10). Suppose -4*b + 15225 = 4*v + v, -4*b - 2*v = -h. What is b rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 38 + 6 = m, -61*m = -v - 60*m + 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + -4*sqrt(204)*2)\/((sqrt(24)*1)\/sqrt(2)).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22031\/2982 + 37\/213. Find the common denominator of 37\/10 and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 11:32 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(600)\/sqrt(8) + 2.\nAnswer: 2 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 60*z + 261. Give g(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 11*k - 7. Let p be (0 - -18)*(-4)\/6. What is the least common multiple of h(p) and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 0*d**4 + 2 + 2*d**4 - 15*d - 1 - 148730*d**3 + 148728*d**3 to the form g*d + a*d**2 + h*d**3 + p + v*d**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 i when four letters picked without replacement from ppxipgipdpgppp.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 519 or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 3*o + 5*o + 19.\nAnswer: 8*o + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1\/15)\/(66\/(-110))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 2)*(-2*g**3 + 2*g**3 + 2*g**3)*(148 + 155 - 310) to the form z*g**3 + s*g**2 + h*g + t and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027339176 rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - 4*m**3 + 3*m**3 - m**3 + 2*m**3 - 2*m**3 + (m - m + 2*m**2)*(2 - 2*m - 2))*(-6 + 1 + 0).\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 1, s: 1, a: 1, h: 1}. Give prob of picking 1 z and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4*g - 10 = 0, g = -5*s + 6*g - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1168*x**2 - 95*x + 3762907.\nAnswer: 2336*x - 95","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, w: 4, c: 1}. Give prob of picking 1 w and 2 j.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/30)\/(1\/(-3))*(-958230)\/59319\nAnswer: -84\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/2 - 1928*l + 591360 = 0 for l.\nAnswer: 336, 3520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*l + 191, 132 = -5*d + 5*l - 258. Let n = d - -148. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/11 (b) -1 (c) -0.81 (d) -1\/161 (e) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 + 188\/(-16))\/((-1)\/16) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(133)*3)\/sqrt(7))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 4. Let k be a(4). Let g(w) = -4*w - 19. Let c be g(-15). Suppose 3*z - 4*h - 59 = k, -3*z = -0*z + 5*h - c. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 1, f: 11}. What is prob of picking 2 f?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958269 is divided by 448.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120\/863 + 37183\/12945. Calculate the common denominator of 224\/(-90) - 4\/(-10) and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*r + 21 = -85*r. Suppose -y - 2*f + 1988 = 0, -r*y + 2*f + 7584 = 1636. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**3\/6 - j**2 - 3*j. Let w be y(4). Is 11*w - (5 - 4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 8:52 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, q: 2}. Give prob of sequence qss.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-2))\/((-1)\/(-30)). Let y be ((-4)\/(-5))\/((-24)\/d). Differentiate 16*x**y - 6*x + 2 - 5 + 6*x wrt x.\nAnswer: 32*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 928986*z**4 - z + 133730?\nAnswer: 11147832*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 7 = 4*d, -d + y + 229 = 221 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326 divided by -418559.\nAnswer: -326\/418559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(-3*sqrt(510))\/sqrt(10))\/(2*(((sqrt(108)*-2 - sqrt(108) - sqrt(108)) + sqrt(108) - sqrt(108)) + sqrt(108))*4).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 43*h. Let x(b) = 42*b - 5. Calculate o(x(t)).\nAnswer: 1806*t - 215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/60 - b**4\/8 + b**3\/2 + b**2. Let x be j(3). Let l(f) = 5*f + 2*f**2 - x*f - 1 - 5*f**2. Calculate l(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*q**2 + 0*q**2 + 4*q**2)*(146 - 146 + q) + 3*q**3 - 2 + 2)*(q - 3*q + 3*q).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59985895 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11360 by 1358.\nAnswer: 5680\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*i + 53 = 0, -22 = 2*f - 3*f + i. Suppose 15 = 5*c - 2*s - f, 0 = 4*c + 3*s - 18. Suppose 5*n - c*n = -134. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1247 + 1253. Let b(s) = s**2 - s + 1. Let f be b(2). Solve -4*h = 4*r + 10 + g, -5*h - 20 = -f*r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26055 times -4?\nAnswer: 104220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-138)\/(-230))\/((-3)\/(-263210)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -18*q**3 + 260*q**2 - 155*q + 586. What is d(14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/21)\/(j**(-2\/5)*j*j))\/(j*j*j**11*j*j**(5\/3)))**41)**(-26) assuming j is positive.\nAnswer: j**(640666\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.825 to one dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 0 - 4\/((-8)\/(-22)). Let k = 161 - -143. Let i = k + g. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 5, z: 2}. What is prob of picking 2 n and 1 z?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**3\/3 + 23*l**2\/2 + 104*l - 21. Does 9 divide t(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10559, 10561, 10565, 10571, 10579, 10589, 10601?\nAnswer: 10615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 12*d**2 + 12*d - 14. Let b be v(13). Let w = b + 27. Suppose -c - c + 170 = w. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -455 (base 12) to base 14\nAnswer: -33b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13821949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.52 rounded to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/546 and 1246\/(-120) + (-22)\/(-88) + -3 + 8.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6\/5 (b) -3 (c) -4 (d) 182 (e) -95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50413.56 nanograms in grams?\nAnswer: 0.00005041356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/4)*v**(2\/9)*v\/((v*v**(-8))\/v)*v**(-2\/11) assuming v is positive.\nAnswer: v**(3679\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -0.024829280743?\nAnswer: 0.124829280743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.359287 centuries to millennia.\nAnswer: 0.4359287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506871 (base 10) in base 14?\nAnswer: 2b3219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (sqrt(325) - (sqrt(325) + 1))) + -3 + 2)**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - m**2 + m**2)*(2*m**2 + 2*m**2 - 2*m**2) + (-m + 0*m - m)*(-m**2 - 2*m**3 + m**2).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l - 3409 = 18*l. List the prime factors of l.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -156*k + 151. Let z(a) = -549*a + 452. Let g(m) = 7*q(m) - 2*z(m). What is g(-28)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, j: 7}. What is prob of picking 1 j and 1 u?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukvkkvuccikkvvuuuvv. What is prob of picking 3 u and 1 c?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3930 divided by 1310?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.7 (b) 0.8 (c) -0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3877657*m**2\/5 + 3877658*m\/5 - 1\/5.\nAnswer: -(m - 1)*(3877657*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/5 - 6*n**2\/5 - 2*n\/5 + 6\/5.\nAnswer: 2*(n - 3)*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 3*h - 4. Suppose 2*q = 6*i - 5*i + 112, 4*q - 236 = -4*i. Calculate the remainder when q is divided by m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 7\/(14\/4). Let b = 1 + -2. Let s be (y - b)*(-4)\/(-12). What is the nearest to -0.2 in -1, 2\/9, s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1331) + 0)*4 + (3 + sqrt(1331) + sqrt(1331)*2 - (sqrt(1331)*1 + 1)))**2.\nAnswer: -616*sqrt(11) + 260880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112920 * 170.\nAnswer: 19196400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**2 - 568377*t*z - 2*t - 19030628*z with respect to t.\nAnswer: 2*t - 568377*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 552 + -551. Let g = -0.042 - -8.042. Which is the smallest value? (a) x (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 0. Let m = 17 - 14. Let w = h + m. Which is the nearest to 1? (a) 1 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4227 is divided by 714.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 84. Let x be j(9). Let v be ((-6259)\/3 - x)\/((-1)\/(-3024)). What is v rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -65*a**5 + 98140*a**4 + 15305*a**3 - 309400*a**2 - 226500*a = 0.\nAnswer: -15\/13, -1, 0, 2, 1510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*r - 17, 4*n + 11 = 2*r + 3. What is the common denominator of -49\/27 and (-2 - r) + 4\/(72\/(-38))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**5\/30 + 7*o**4\/12 + o**3\/3 + 740*o**2. Determine r(10).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2 (b) -1\/2 (c) -0.22 (d) -2 (e) -1\/5 (f) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42212752.3 - -1.44.\nAnswer: -42212750.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**2 - 68 + 29 - 8*a**2 + a**2 with respect to a.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 21*z**2 + z - 1. Let l be m(1). Let d = l - 17. Suppose -d*q + 67 = -s, 2*q - 4*s - 54 = -10. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1))\/b)**(4\/25) assuming b is positive.\nAnswer: b**(4\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 158*q - 18. Let o(c) = -3*c - 1. Let t(n) = -a(n) - 12*o(n). Calculate the remainder when t(-6) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-63)\/9 - -67 - 6. Let t = x + 15. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*10\/150 - (-16)\/(-15). Suppose 2*y + g = 8, -y + g = 2*g - 6. Suppose 0*h - y = h. What is the biggest value in h, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5434*a**2 + 34. Let z(x) = -1813*x**2 + 12. What is -6*k(j) + 17*z(j)?\nAnswer: 1783*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 4. Let h be o(2). Is h equal to 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 59*t**2 - t. Calculate v(1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9 + 2224314975.\nAnswer: 2224314975.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hozo when four letters picked without replacement from zhhofno.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2212*l + 128267 = 60248 - 25452 - 154273 for l.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*c + 11132 - 11132 + (2 - 2 + c)*(-140 - 112 + 151).\nAnswer: -172*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33863 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -886.6 + 88.6. Let f = q + 699.9. What is f rounded to 0 decimal places?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p = -27*p + 920. What is the greatest common divisor of 88 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*-1)\/(4 + 222\/(-54)). Let j(p) = h + 15 - 22*p + 24*p + 11. Let u be j(-16). Solve u*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 739084, 739085, 739086, 739087?\n\"Answer: i + 739083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116190 divided by 12910.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*m = 0, -4*m = -3*a - 0*m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 1186*b - 154514. Give g(-149).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -79, 5, 3\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1066 is divided by 355.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 3523 + 42087. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - -3*2\/(-3). Let v(p) = 1 + p - 2 + j. Let d(u) = u**2. What is d(v(k))?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 4*a - 4, -2*a + 364 = -3*j + 356 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 26. Let r be i(-23). Does 23 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -183*t**3 - 2*t + 323*t**3 - 2*t**2 + 107*t**3 + t as y*t**2 + x*t**3 + m*t + g and give x.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -685.1 - -860. Let n = -30.9 + v. Let w = -143.99999874 + n. Round w to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hps when three letters picked without replacement from {s: 3, h: 3, p: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -219 + 150. Let d = y - -72. Let a(r) = -19*r + 7*r + d*r + 5*r. Let g(z) = 2*z. What is a(g(u))?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 132.882473 to one decimal place.\nAnswer: 132.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -2*n**3\/3 + 8*n - 19. What is c in i(c) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvq when three letters picked without replacement from {q: 2, r: 1, v: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13949.\nAnswer: 13, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -5868\nAnswer: -11736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g - 43. Calculate j(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -215 - -1192. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -4*d - 100, 0 = -5*j - 3*d + 229294 - 229371 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -54.6, 3\/5, -0.5, -2\/11, -0.3, 3\/2, 3\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80 - -117. Let v = p - 36. Let s = -0.017 + 2.117. Which is the closest to s? (a) 1\/6 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (16 + -23) - (2 - (-19 + 3))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*v + 3*h, -6*h = -4*v - 5*h + 7. Suppose 0 = z + 2*q - 33, 5*z - z + v*q = 108. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a**2 - 2*a**2 - 9*a**2)*(12 + 11 - 10) + 3*a**2 + 2*a**2 - a**2.\nAnswer: -243*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004262225 to five decimal places.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 + 2*d**3 + 6*d**2 - 9*d**2 - d**3 - 9*d**3 + 2*d**4 - 1 to g*d**4 + i*d + c*d**2 + a*d**3 + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 48 = 3*t, 2*w = -t + 6*w + 6. Solve 4*s + 26 = t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 2, -212 in increasing order.\nAnswer: -212, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 2*d + 23. Suppose -4*t + 3*a - 34 = -0*t, 0 = -4*t + 4*a - 32. What is the units digit of r(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (4 + -10) - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8596760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - ((-2)\/3)\/((-4)\/(-18)). Let h be (-2)\/(u*2\/(-3)). Factor 4*o**2 + 0*o**3 - 4*o + 2*o**3 + 2 - 6 + 2*o**h.\nAnswer: 4*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -4)\/(-1) + 260. Suppose z = 3*o - i, 8*z - 340 = -4*o + 6*z. Let s = -32 + o. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 933*p**2 + p - 936*p**2 - p.\nAnswer: -3*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, x: 2, m: 4, l: 1}. What is prob of sequence mlix?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/18? (a) 0.2 (b) -2521.8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w + 86. Let l be n(-13). Solve 7 = r - l*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101305660?\nAnswer: 2, 5, 5065283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -496 + 908. Is v a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 854006 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4066 divided by 107\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.05 from -1.2364907.\nAnswer: -1.2864907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5751122275363\/2886 + 1992765884. Let l = 6\/481 + f. What is the common denominator of -17 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -565376 divided by 8?\nAnswer: -70672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (21 - 6) + 12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 2208380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58576293 to the power of 1\/3, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g*h + 3*g*x**3 - 2*g*x**2 - g*x + 2*h*x**3 + 18*h*x**2 wrt x.\nAnswer: 18*g + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**4\/24 + 3*j**2 + 16. Let k(m) = -m - 14 + 7*m + 14. Calculate 5*k(a) - 40*u(a).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -55*r**3. Let c(k) = -k. Let j be 5\/55 - (-90)\/99. Let l(b) = j*g(b) - 5*c(b). What is the second derivative of l(o) wrt o?\nAnswer: -330*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1368.28 * -2.868\nAnswer: 3924.22704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07403 + 0.92597. What is the second biggest value in -5, -1, -1\/4, -0.17, s?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 40 = 4*a + 10, -3*a - 4*b + 23 = 0. Let w be -7 + 7 + 2\/a. Factor -w + 8\/5*t**2 - 6\/5*t.\nAnswer: 2*(t - 1)*(4*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 871829937 a multiple of 1572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12987, 12971, 12945, 12909?\n\"Answer: -5*i**2 - i + 12993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - 30 - -54) + -32.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 228 or 227?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648788 is divided by 153?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*q + 12 = 0, x + 2*x - 3*q - 18 = 0. Suppose -7 = x*k - 55. Suppose 128 = 5*s - 2*c - k, 5*c + 84 = 3*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7682414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-29790)\/540)\/(1\/(-6)) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020306857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (364\/3536)\/(56\/17)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-6 + 102\/18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1356 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-161*m - 265 + 508*m - 176*m - 174*m)*(-3*m**2 - 4*m + 4*m).\nAnswer: 9*m**3 + 795*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - 28*y - 18. Give a(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 27. Suppose j = 2*g - 39. What is the remainder when g is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173470 is divided by 1173459.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*v + 1138 = 0, 149*v - 144*v = -4*b + 4552. What is the remainder when b is divided by 363?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -28*q**2 + 3*q - 20. Let o(a) = 56*a**2 - 5*a + 33. What is 5*m(b) + 3*o(b)?\nAnswer: 28*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 - 18*j**3 - 81*j**2 - 108*j.\nAnswer: -j*(j + 3)**2*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -96161199 and -342.\nAnswer: -96161541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 97570422 to the nearest 10000.\nAnswer: 97570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121339 and 4047?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*2\/(-20)*10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18226*y - 162*s = 18224*y + 488, 6*y - 2*s - 12 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, b: 16}. What is prob of picking 2 s?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 416766 and 0.05?\nAnswer: 416765.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18855465.\nAnswer: 3, 5, 17, 73943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18600 + 18607. Solve 11*o + 5*u - 10 = k*o, 0 = u + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p**2 - 38 + 3*p - 38 + 74 to y*p**2 + f + l*p and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2*(-8)\/3. Let x(j) = 2*j**2 - 6*j + 4. What is the tens digit of x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -19. Let t be b\/(-9) + (-488)\/(-6). Suppose 75 + t = 4*u. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14018, 28037, 42058, 56081, 70106, 84133?\n\"Answer: s**2 + 14016*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - j - 3*j + 6 = 0, 0 = 2*g + 5*j + 51. Let b = 42 - g. Let o be ((b\/8)\/(-1))\/(6\/(-8)). Solve 2*s = 4*s - o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2810 and 190260.\nAnswer: 53463060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-29295)\/(-18) - -7) + (-8)\/(-32)*2. Calculate the greatest common factor of a and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47234432 divided by -128?\nAnswer: 369019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.3, -2, 4 in increasing order.\nAnswer: -3, -2, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -9, -10, -11, -12, -13?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 1, i: 19}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4325 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 - 8*j - 2. Let u be o(-3). Suppose -2*v + 20 = 5*m, -v + 4 = u*v + m. Differentiate -4*d - 9*d + v*d - 4*d - 10 with respect to d.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 264 = 2*q - 588, 3*q - 1281 = 2*f. What are the prime factors of 480\/22 + 0 + 78\/q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 + -106. Suppose r = -4*c + 24, t*c + 7 = r - 8. What is the remainder when 217 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 4, 1, -5, -1, 246.\nAnswer: -5, -1, 1, 4, 47, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**5 - l**4 - 8*l**2 + 42 wrt l?\nAnswer: 180*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, p: 7}. What is prob of picking 3 p and 1 a?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -22684908*v. Let z(l) = -2*l. Determine z(q(h)).\nAnswer: 45369816*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -0.3, 3\/8, -1575?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 437840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/8? (a) -0.1 (b) 0 (c) 0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-15))\/((80\/(-250))\/8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240237?\nAnswer: 3, 26693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1566330 (base 7) to base 16\nAnswer: -354cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -110*z - 8480. What is x(-77)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819*m + 20 = -2*b - 822*m, 4 = -m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13026, 24063, 35100?\n\"Answer: 11037*i + 1989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 3*x**5\/160 + x**4\/12 - 11*x**3\/48 + 117*x. Suppose l(i) = 0. What is i?\nAnswer: -11\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -2\/5 (b) -1 (c) -59\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618462 is divided by 138.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159139 or 159145?\nAnswer: 159139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-22)\/i))\/i**(17\/6) assuming i is positive.\nAnswer: i**(127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -9*m + 7*m - 52, 5*m - 46*j = -41*j - 85 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-12))\/(((-2)\/(-81))\/(-2)). Is g equal to 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t - 45940. Let z(i) = -14*i. Calculate n(z(r)).\nAnswer: -70*r - 45940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) -1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 355 = 9*b. Suppose 0 = 5*w + 5*n - 3*n - b, 4*n - 51 = -3*w. Suppose -47 - 31 = -w*y. Solve -m + 15 = -y*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-344)\/(-9) + (-2)\/9. Suppose 0 = -5*w - 730*s + 729*s + 6, -4*w - 2*s = 0. What is the derivative of -35 + w*y**4 + 29*y**4 + 7*y**4 + d wrt y?\nAnswer: 152*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.3978 centimeters?\nAnswer: 0.000013978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 2\/7 (c) 2\/5 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -442 + 312. Let w = n - -130.0061. What is w rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 53. Which is the third biggest value? (a) i (b) -1 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 2*g - g + (62*g - 12*g - 25*g)*(-5 + 2 + 2).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 + 286*s**2 - 1098*s - 1984. What is c(139)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + r**2 - 3*r**2 + (5*r - 4*r - 2*r)*(-2 + 2 - 2*r) + 0*r**2 + 2*r**2 - 3*r**2 + r**2 + 0*r**2 - 3*r**2 + (2 - 3*r - 2)*(23*r - 16*r - 21*r).\nAnswer: 39*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/151716 and 127\/24.\nAnswer: 303432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 5 (b) 0 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*-65576740\nAnswer: 9836511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 + 2*t**2 + 0*t**2 + (177 + 206 - 381 - 291*t)*(-5*t + 3*t + 0*t) - t + 2*t**2 + t to the form q*t**2 + g + b*t and give q.\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 28429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120 + 11 + 16 - 31*a + 84 + 9.\nAnswer: -31*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 1 + 11. Let j be 1\/r + (-10)\/(-6). Suppose -j*h + 3*z = -140, -z + 7 = 3. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-4)*20\/(-30)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**6\/30 - d**5\/5 + 9*d**4\/20 - 7*d**3\/15 + d**2\/5 + 61. Factor l(a).\nAnswer: a*(a - 2)*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12185 - 8945. Let p(j) = -1436*j - 5. Let x be p(-5). Let t = x - h. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7929810 divided by 246\nAnswer: -32235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1944, 8199, 18772, 33663, 52872, 76399?\n\"Answer: 2159*m**2 - 222*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240, -1993, -6756, -16035, -31336, -54165?\nAnswer: -86028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)*w*w**(-10))**(-1\/2) assuming w is positive.\nAnswer: w**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 15*w**2 + 5*w - 11. Let d(q) = -10*q**2 - 3*q + 7. Let g(r) = -8*d(r) - 5*o(r). What is the units digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 45*q - 46*q**2 + 43*q**2 - 488*q**3 + 487*q**3 to the form h + v*q**3 + t*q**2 + x*q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 - -4*3\/42?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10600255993 rounded to four decimal places?\nAnswer: 0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39835.\nAnswer: 5, 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**3\/6 + 5*l**2\/2 + 3*l. Let n be u(-8). Calculate the remainder when n + ((-276)\/(-2))\/3 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvpv when four letters picked without replacement from {t: 4, p: 1, d: 1, v: 2, w: 4, l: 2}?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(65))\/sqrt(5)*-4 + -1*(2*sqrt(325) - sqrt(325))*-3 + 4.\nAnswer: 9 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 6:08 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 + 5*f + 5. What is the remainder when 34 is divided by k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22443, 22444, 22445, 22446?\nAnswer: 22447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5580 - 6379 = -47*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38201325?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxugtggexhgttgxxth. Give prob of sequence tehx.\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 51 = 3*x, -19 - 23 = -3*x + 2*z. Suppose 0*o = -5*u + 5*o + 65, 65 = 5*u + 3*o. Let c = x + u. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at least -66518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 58?\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/70 - 136\/(-476)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/406056 and 21\/164.\nAnswer: 16648296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 21 = -24. Let w be y\/(-18) + (-230)\/(-4). Suppose -w = -3*h - 16. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22951\/16 - 1435. Let c be 4\/22 + (-27348)\/(-110). Let u = -4937\/20 + c. Find the common denominator of u and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 1. Let f be 1 - p*(3 - 2). Suppose -5 = -f*b - 5*a, 4*b - a - 55 = 2*a. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 26*t**3 - 6*t**2 - 14*t - 28. Let g(u) = 2*u**3 - u**2 - u - 2. Calculate 70*g(z) - 5*w(z).\nAnswer: 10*z**3 - 40*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 14. Let v be b(10). Let i be 397 - (-1 - (2 + v)). Suppose -i = -5*s + 779. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s + 69 = -65 - 50 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 - (-3 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 457955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3822 is divided by 1569.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4. Suppose u = g - 6 + 4. Suppose n - g = 3. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.03263 - -0.03263. What is the closest to -0.9 in -6, 1, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 + 4*h**2 - h + 4. Let f = 93 - 89. Let g(k) = -2*k**3 - 3*k**2 - 3. Give f*g(i) + 3*o(i).\nAnswer: -2*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 160*a + 859. Calculate the lowest common multiple of ((-2)\/(-8))\/(2\/8) and k(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6399100 to the nearest 10000.\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 15) to base 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 14. Suppose -4*y + 3*y - 2*v = 8, y + 3*v + z = 0. Suppose -32 = y*m - 4*m. Solve 4*g + 0*g = -m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceszezeczeszcssecez. Give prob of sequence eez.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 15*g**2 + 13*g - 10. Calculate n(-16).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184589825?\nAnswer: 5, 7, 17, 62047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 2*q**3 - 2*q**3)*(0*q - 4*q - q + (132*q + 61*q + 59*q)*(1 - 2 + 0)).\nAnswer: 514*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*g + 171 = -21*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -41*h**7\/42 - h**5\/20 + 3*h**3\/2 + h**2\/2 - 40*h. Find the second derivative of m(x) wrt x.\nAnswer: -820*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 1154, -94, -0.2 in ascending order.\nAnswer: -96, -94, -0.2, 1154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -12*c + 93 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/25*15\/(-2). Solve -5*r - h*m - 5 = -6*m, -5*r = -m - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.060674 rounded to three decimal places?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32734 is divided by 111.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 - 11)*4 + (-74)\/(-18). Let v(p) be the first derivative of 1\/3*p - 1\/3*p**2 + m*p**3 + 10. Solve v(c) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40578682 to the power of 1\/3, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 89. Let v = 50 - m. Solve -2*o - 3*o + 2*j - v = 0, 0 = -j + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61618 divided by 1.\nAnswer: 61618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - -15) + -7 - 98?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113202081 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-9) - (0 + -1). Suppose -a*b - 6 = 3*v, -5*b + v = 2*v - 6. Let l = 4 - b. Solve -l*q + k = 3*k, 2*q + k = 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/18 + 10\/45. Let o(b) = -1 - 6*b - 2 - 5 + b**2. Let r be o(7). What is the nearest to r in s, 0.1, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 6) to base 2\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(85) - sqrt(85)) + (sqrt(85) - (sqrt(85)*3 + sqrt(85)))*3)\/(-2*sqrt(15)\/(sqrt(3) - sqrt(30)\/(sqrt(10) + sqrt(50)\/sqrt(5)))).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 3:17 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5728403, -5728356, -5728309, -5728262, -5728215, -5728168?\nAnswer: -5728121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**6\/280 + 109*n**5\/140 + n**4\/56 - 109*n**3\/14 + 637*n**2. Factor j(c).\nAnswer: -3*(c - 109)*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 20*m + 26. Let s be c(-20). Solve 2*d + s = -4*z, -2*z - 5*d = 41 - 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 4*l, 3*l = -2*z + 31. Suppose 0 = -v + z + 146. Is v - ((-4)\/(-2))\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8 - (-9)\/(-36). Let m = 11 - 11.2. Which is the second smallest value? (a) m (b) 3 (c) v (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 + 10. Is h > 122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, s: 4, q: 7, n: 1}. What is prob of picking 1 q and 1 s?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 14*d + 3. Let m(z) = 7*z + 1. Let b(c) = 5*m(c) - 2*p(c). Let x be ((-1)\/1)\/(1\/(-1)). Give b(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172391?\nAnswer: 31, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*y + 29 = 0, 12*f - 69 = 9*f + 3*y. Suppose 2 + 31 = 3*s. What is the lowest common multiple of s and ((-108)\/f)\/(9\/(-6))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/396 + ((-5)\/(-10) - (-886)\/36).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 30213011 (base 4) to base 5\nAnswer: 3123103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-33 - -16) + 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 4*q**2 + 3. Let i be j(4). Suppose i*v - 5 = -8. What are the prime factors of (-16 - -1)*(v - 0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4454365 times 5\nAnswer: 22271825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2\/4 + 357*k\/4 - 2601\/2 = 0. Calculate k.\nAnswer: 17, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/655 (b) -1 (c) 2\/15 (d) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 10:34 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 37124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 4 (c) 1 (d) -39 (e) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -558205*n*t**2 + 5053*n + 15 wrt t.\nAnswer: -1116410*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 578390229 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 497, 1745, 3825, 6737, 10481, 15057, 20465?\n\"Answer: 416*m**2 + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j - 7*j**2 + 5 + 8*j**2 - 1. Let d(z) = -2*z - 2. Let m be d(-3). Suppose 0*c + 24 = 4*c - 4*n, 0 = -m*c - 2*n + 12. Determine p(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 4.5. Let u = -2 + 4.5. Let n = -2 + u. What is the closest to 2 in -0.5, k, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 94 = -5*q, 15 - 97 = -4*t + 2*q. Solve -3*b + 29 = t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from tttj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6480) - (sqrt(6480) + sqrt(6480)*-1 + sqrt(6480))) + sqrt(6480) + sqrt(45).\nAnswer: 39*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 61829 + 111867 = 0. List the prime factors of f.\nAnswer: 2, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 8*g**2 - 9*g + 8. Give c(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(112)\/sqrt(4))\/sqrt(4) + 0 - (sqrt(252)\/(sqrt(4) - sqrt(4)*-1))\/(sqrt(72)\/sqrt(2))) + -5)*-1.\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 5 (c) -0.6994\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232314761 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/14 + 4\/5 + -3)*2?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + 4*y + 1. Let v(w) = 6*w**2 - 13*w - 4. Suppose 5*s - 56 = -9*s. Suppose s = -10*b - 66. Calculate b*a(k) - 2*v(k).\nAnswer: 2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 2, d: 1, f: 6, w: 3}. What is prob of picking 1 d and 1 w?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - u + 5 = 0, 0 = 5*q + 3*u + 16 - 64 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f = -35. What is the second derivative of -11*i**4 - 3*i + f*i**4 + 3*i**4 + 4*i wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from {d: 1, j: 1, k: 4, y: 2, r: 1, z: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12 + -7)*(-12)\/(-10). Let o(z) = 5*z. Let t(h) be the third derivative of 0*h**3 + 7*h**2 + 0 - 11\/24*h**4 + 0*h. What is l*t(a) + 13*o(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.1 times 0.7?\nAnswer: 8.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.051 - 5.749. Let t = -7.8 - d. Suppose -2 = -i, -3*p + 2 = 5*i + 4. Put p, -8, t in decreasing order.\nAnswer: t, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*p + 2 = 0, -m - 2 = -290*p + 292*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250390 (base 10) to base 8.\nAnswer: 751026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 0)*((-8*t + t + 2*t)*(3 - 3 + 2) + (1 - 1 + 1)*(1 - 11 - 3)*(-6*t + 2*t + t)).\nAnswer: -87*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43620, 43767, 44004, 44325, 44724?\n\"Answer: -w**3 + 51*w**2 + w + 43569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -23 + (26 + 1 - -6519) is divided by 136?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -47 and 8151016.\nAnswer: 8150969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*sqrt(102))\/sqrt(6) - 5*4*sqrt(51)\/sqrt(3))**2.\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -636*c + 24135. Determine u(37).\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1178544\/7 or 168364?\nAnswer: 168364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2921231?\nAnswer: 19, 153749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/24*0)\/(12\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 1 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-1)*24\/9. Let i be 2\/(3\/(28560036\/h)). Suppose -l - 1190005 = 5*w, 3*w + i = -2*l - 0*w. What is l rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3077 in 0.5, 3, -1\/4, 3\/7, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 307 (base 10) to base 12\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5798, 22876, 51350, 91226, 142510, 205208?\n\"Answer: m**3 + 5692*m**2 - 5*m + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 11*k**2 - 11*k + 3. Give n(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 9:15 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y**2 + y)*(2*y - 2 + 2) - 2*y**3 + 0*y + 0*y + y + y**3 - y - 2*y**3 + 10*y**3 - 6*y**3 + 2*y - 6*y**3 - 2*y.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34644 is divided by 169.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 80703.05 days in hours?\nAnswer: 1936873.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -10*p + 76. Determine y(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 368 - 406*h - 5*h**2 + 383 + 82 + 502 + 836*h = 0.\nAnswer: -3, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 439, 894, 1349, 1804?\n\"Answer: 455*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -313*p**4\/4 - p**3\/3 + 248*p + 22. What is the third derivative of f(y) wrt y?\nAnswer: -1878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -4 + 3 + -112 + 129. Solve -r = -29*d + 131 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 553 and 29467.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b - 36\/5 - 1\/5*b**2 = 0?\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3295*g**2 + 3 - 12*g**3 + 3295*g**2 wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -x - 0*t, -5*t + 45 = 4*x. Suppose -3*i = 9, 0 = 2*v - x*v + 5*i + 15. Solve 3*d - 6*d + 3 = v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*m = 217*m - 483*m + 1158 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -616*j + 3698. Let n be u(6). What is the smallest value in n, 0, -0.4, -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -187*w**2. Let t(p) be the third derivative of -p**4\/12 + 242*p**2. Give f(t(l)).\nAnswer: -748*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 132\/(-24) - (-7)\/14 - -7. Solve 0 = d*z - h - 3, 146 - 131 = -2*z - 5*h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f**2 - 5*f**2 - 12*f**2 + 21*f**2. Let r(g) = -11*g. Give r(l(k)).\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 + 2*m**3 + 0*m**3)*(-23 + 15 + 15)*(2 - 6 - 4).\nAnswer: 112*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 180 = -6*u. Calculate the greatest common divisor of 9 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2588*n - 49185. Give k(19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 275950.\nAnswer: 827850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - -24. Let p = c - 19. What is the remainder when p is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, -10\/23, -5 in increasing order.\nAnswer: -5, -3, -10\/23, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5 - 22)\/(-85))\/((-1)\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) 24004 (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**12*i**(-6\/11)\/i*i**3*i**(-7) assuming i is positive.\nAnswer: i**(82\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*q = -8, 2*o = -5*q + 4*q - 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 11968.\nAnswer: -3590.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/9 - (-4150)\/(-15). Let f = -276 - b. Let n(i) = i**3 + 6*i**2 + i + 7. Let j be n(-6). What is the closest to -2 in f, 2\/15, j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -2\/3 (c) 8201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, z: 2, l: 2, u: 1, b: 2}. What is prob of picking 1 b, 1 l, and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 600.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12055*3172.\nAnswer: -38238460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/57)\/(20414\/1557 - 104\/(-36)).\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 15068425*u. Let i(s) = -4*s**2. What is i(f(m))?\nAnswer: -908229727922500*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 2*s**2 + 7*s**2)*(-1 + 3 - 1) + 2*s**2 - 6*s**2 - 11*s**2 + (s + 7 - 1 + s)*(2*s + 4*s - 5*s).\nAnswer: -6*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*(-238)\/(-4)*291\/(-1649)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 7. What is the second derivative of w - b*w + 4*w**3 + 5*w wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14616 and 6.\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -95.247 and -718141.\nAnswer: -718236.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 105930034 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 38*f - 44*f - 60*f.\nAnswer: -139*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 + -0.11191.\nAnswer: -0.18191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*z + 14*z + 654 = 60 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.401, 2, -0.13, 0.5, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.06 (c) 8983 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179535139?\nAnswer: 7, 61, 420457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, l: 10, e: 3, w: 2, r: 2, x: 2}. What is prob of sequence llw?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v + 320 = 24*v. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c**5\/9 - 200*c**4\/9 + 13384*c**3\/3 + 1145348*c**2\/9 + 3359510*c\/9 + 289100\/3 = 0. Calculate c.\nAnswer: -35, -3, -2\/7, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/5*2\/(-36)*-9.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 2*n**2 + 27 to y*n + j*n**2 + i and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 12:33 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143520 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 26 - 6. Suppose -n*h = -3*f + 3 - 1, 0 = 5*h + 3*f - 11. Let w be -5*4\/16 - -1. What is the closest to 2 in h, -2, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/878395 or 0?\nAnswer: 3\/878395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o = 3*x + 39557, 4*o - 5*x = 31643. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -66*b + 23 - 69, 5*b - 2*p + 0 = -15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/7 + (-380)\/(-28). Suppose 8*b + l = -2. Let t be 7 + 2 + 6\/b. Calculate the highest common factor of 18 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16519786?\nAnswer: 2, 199, 41507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -28181247 bigger than -28181243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvm when three letters picked without replacement from vavamgcmy.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/5)\/1*20\/(-8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -6. Suppose 4*z - z = -12. Let i be (-9)\/6*z\/27. Which is the smallest value? (a) y (b) -2\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5200 and 127464.\nAnswer: 82851600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 25*k**2 + 5*k - 123. Let v be w(25). Solve 3*n = 3*q - 27, -3*n + 15 - v = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -38978?\nAnswer: -155912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.21 + -0.34. Let t = 0.129964 + u. What is t rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, -2\/5, -0.09?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171 - 222 + 40)*(-2 + 3 + 2)*(-3*i - 5*i + 4*i).\nAnswer: 4236*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b (base 16) to base 6.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(-4 + -2*sqrt(1573)).\nAnswer: 23 + 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2. Let l(o) = 2*o**2 - 7*o - 4. Let r be l(4). Let h(j) be the first derivative of -3 + r*j**2 + 1\/3*j**3 + 0*j. What is h(y(u))?\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w**2 + 9*w + 18. Let h(g) = -28*g**2 - 37*g - 71. Let y(r) = 2*h(r) + 9*x(r). What are the prime factors of y(-7)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - 5*r**2 - 8 - r**2 - 7*r**2 + 4*r + 6 to x*r + p*r**2 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 15. Let r(y) = -y + 3. Let g be r(f). Let m be ((-6)\/g)\/((-276)\/32). Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -18. Let m = p - 13.28. Let o = m + 0.27966. Round o to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/25))**17*s**5*s**(-14)*s assuming s is positive.\nAnswer: s**(-166\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*h**2 - 297*h**2 + 101*h**2 - 414*h**2 - 47*h**2 + 62*h**2.\nAnswer: -777*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 302\/66 - 917\/(-10087)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17\/3 - 97\/15. Let q = -4.314 + 4.214. What is the closest to 0.3 in 2, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q - 9. Suppose 3*i - g + 2074 = 0, -5*g - 234 + 916 = -i. Let n = i - -707. Solve 0 = -0*c + q*c + n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*k - 62 - 62 = -169*k - 124 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2709*a - 3*a**2 - 2882*a + 5374*a - 4*a**2 in the form q*a**2 + t*a + x and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 324 = -8*l. Calculate the remainder when (1566\/12)\/((-3)\/(-8)) is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 4:09 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -806 or 1313.501?\nAnswer: 1313.501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*d + 20, 5*w - 5*d = 10*w - 100. Solve -4*l = -4*k - w, 0*l + 5*k + 6 = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/36892 != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 46*f**3 + 3*f**2 + 11*f - 17. Let o be m(2). What is the greatest common factor of 420 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -16*n**5\/5 - n**4\/4 - 43*n**3\/3 - n + 88. Find the third derivative of i(j) wrt j.\nAnswer: -384*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 36?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -265 (b) -16 (c) -0.1 (d) -1\/4 (e) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7328*w**3 - 3250*w**3 + 6154*w**3.\nAnswer: 10232*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3630 and 930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 9:40 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {j: 2, p: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (0 + (sqrt(1008) - (-2*sqrt(1008)*-1 + sqrt(1008))) - (4 + 1*1*sqrt(1008))) + 2)*-1.\nAnswer: 5 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-41924)\/(-44) - (-4)\/22. Suppose -3*n = -4*n + t. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -479, -935, -1401, -1883, -2387, -2919?\nAnswer: -3485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 39113036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 128 - 223156*f**3 + 239 - f - f**2 + 223154*f**3 in the form m*f + d*f**2 + a*f**3 + u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*v + 3*v**2 + 74*v - 33*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 128492.4l?\nAnswer: 128492400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -37676.\nAnswer: 37675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2350\/(-1880) - (-3)\/(-4). Let i(m) = -m**3 - 6*m**2 + 2*m. Let b be i(-6). Sort -1, b, y in descending order.\nAnswer: -1, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**3 - 54*n**2 + 3*n + 0*n**3 + 53*n**2 + 3*n. Differentiate h(g) with respect to g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/40 and -27\/92?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 12*s + 29. Let g be m(3). Let v(u) = -23*u**2 - 34*u**2 - 84*u**2 - 88*u**g. Let n(w) = -w**2. What is v(n(a))?\nAnswer: -229*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 2*v + v - 104 - 25*v + 24*v in the form l + q*v and give l.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and 0.0691.\nAnswer: -1.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1388 = -3*v, -824 = -3*c + 4*v - 0*v. Suppose 7*s = 3*s + c. Suppose -s*g + 66*g + 1516 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3813 = 3*b - 7*l + 2*l, 4*b = -4*l + 5084. Suppose -4*h = 4*s + s - b, -2*h + 259 = s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -183, -242, -303, -366?\n\"Answer: -f**2 - 56*f - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t = -4. Let g(d) = 3*d - 1. Let h be g(t). Solve -h*c + 8 = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39\/8 - -157\/24. What is the closest to o in 0.3, -5, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*b + 251, b = -o + 114 + 14. Let l = -1341 - -1360. Calculate the greatest common factor of o and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 302\/201665 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -853*f**2 - 19314*f wrt f?\nAnswer: -1706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*sqrt(1100) + (sqrt(1100) + -4*(sqrt(1100) + 1) + sqrt(1100) - sqrt(1100))**2 - (6*(5 + sqrt(1100) + -2)*-3)**2.\nAnswer: -349400 - 19230*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12076 + 6666 - 105*s**2 + 5410.\nAnswer: -105*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a16 (base 13) in base 16?\nAnswer: -f42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12033 divided by 5.\nAnswer: -12033\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2473 + 2473.08. Which is the nearest to -5? (a) 0.1 (b) r (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120180 divided by 6?\nAnswer: -20030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*4\/(-6))\/(105910\/31773).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 6. Let q be j(7). Suppose -4*o - 5*l = q - 27, 5*o - 3*l - 14 = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -2, -7831, -0.4.\nAnswer: -7831, -2, -3\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.7 - 5.8752. Let i = r - -0.0064. What is i rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -c - 134, -3*c + 2*c + 1 = 0. Let q = 59 - m. What is the remainder when 68 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**3*w**3 - 42*q**3 - 3*q**2*w + 519*w**3 - 9*w wrt w?\nAnswer: 12*q**3*w + 3114*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 323967.\nAnswer: -32\/323967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/9)*q\/q**(-1\/2)*(q**(2\/3))**2 assuming q is positive.\nAnswer: q**(47\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4, 5*x + 3*w + 129 - 23 = 0. Let v = x - -17. Is v <= -13\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/((-40)\/64).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -563, -1095, -1613, -2111, -2583, -3023, -3425?\nAnswer: -3783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.02. Let g = s - 2.02. Let n = 1087\/5 + -217. What is the smallest value in -5, n, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 82 - 10*b - 82.\nAnswer: 2*b*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1369 - 349. What is y rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**8\/53760 - d**7\/1120 + 11*d**6\/1920 - 3*d**5\/10 + 32*d**2. Let s(r) be the third derivative of h(r). Factor s(g).\nAnswer: 3*(g - 11)*(g - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 26775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(832)*2 + 1 - sqrt(832)) + 0)**2 + -4)*1*1.\nAnswer: 16*sqrt(13) + 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1 - 3 - 4 + 5 + 7 - 3 - 2 + (1 + 2 - 5)*(0 - 1 - 1) - 8 - 6 - 4)*(5*u - u - u).\nAnswer: -45*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/70)\/((-618)\/3160). Let u = -2\/309 - m. Let o = 9 - 14. What is the nearest to -2 in o, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-9))\/(-1))\/((-1)\/(-15)*-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -235.766 + 193.9474. Let h = p - -1.81756. Let r = -40 - h. Round r to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(76) + sqrt(76))*-4)\/(sqrt(4) - 1*sqrt(4)*-1) + (5*((2 + sqrt(931))**2 - sqrt(931)) - ((sqrt(931) - (3*sqrt(931) + sqrt(931))) + -4)**2).\nAnswer: -3720 - 63*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/576534 and -93\/1036.\nAnswer: 1153068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 1281 + 7958 = -8959. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 24*s**2 - s - 2*s - 42*s**2 - 6*s + 16*s**2 - s**3 - 19. Suppose -z = z + 10. What is the hundreds digit of y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/17063? (a) 1.5 (b) -3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: c9 (base 14) to base 10\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13700 divided by 5\nAnswer: -2740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (9 - (9 + -8)) + (-2 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1141293548, 1141293549, 1141293550, 1141293551, 1141293552?\n\"Answer: q + 1141293547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 11*o - 15*o + 18, -o - 5*i + 27 = 0. Calculate the greatest common divisor of o and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -5*n**6\/6 - 6*n**5 - 15*n**4 - 40*n**3\/3 + 254. Factor s(c).\nAnswer: -5*c**2*(c + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22429*a**2*y**2 - 5*a**2*y - 3*a**2 + 537*a*y**2 - 119946*a*y + a + 3*y**2 - y wrt y?\nAnswer: -44858*a**2 + 1074*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271331.\nAnswer: 23, 47, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 905523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2301 and 2652.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 12\/(1 + -4). Let r(q) = q + 1. Suppose 5*a = a + 8. Let b(g) = g + 2. Let h(w) = a*r(w) - b(w). Let l(i) = 2*i. Give u*h(t) - l(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 9*b - 25. Suppose -4*w + 9*w = 80. List the prime factors of d(w).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 245582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028449109 minus 5?\nAnswer: -5.028449109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16591 - -492868313\nAnswer: 492851722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 10*n = -7. Is n at least as big as -2\/271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*w = 190, -204 = -4*i - w - 11. Let f be 2\/8 - (12\/i - 5). Solve -3*a + 4*a - f = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4204)\/(-10) - -11*(-18)\/495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 14*x**2 - 7*x + 7. Let w(g) = -g + 27. Suppose -7*u = -10*u + 63. Let v be w(u). Is b(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*b - 52, v = 3*b + 20 + 10. Let l(a) = 2*a**2 - 7*a + 5. Let z be l(4). Let w = z + -7. What is the lowest common multiple of v and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 31514 = 2*f + 31478, 5*f - 105 = -5*c for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/217 and 64\/74305.\nAnswer: 2303455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-18))\/(2\/(-4)). Let r = -68 + 67.68. Let c = -0.02 - r. Put c, g, -1 in increasing order.\nAnswer: -1, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79*p**4 - 8*p**3 - 550.\nAnswer: -316*p**3 - 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = 15 - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -42. Let u = -15 - w. Calculate the lowest common multiple of 28 and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 - (-9 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 965.41 - 947. What is a rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 361, 460, 559?\n\"Answer: 99*z + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 28. Let q be t\/12*(2 + -14). Find the second derivative of 196 - 184 + 30*h**4 + q*h**4 - h wrt h.\nAnswer: 432*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c + 2361 = 42*c. Is (c\/(-4))\/(3\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*z**2 + 44*z**2 - 3*z**3 - 7*z in the form l*z + y + d*z**2 + f*z**3 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000948 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Let c = 31 + -29. Solve -c*d + 10 = 0, -2*p = -d - y*d + 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 335 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.99 + -2. Let h = -0.05 - q. Let r = -0.14 - h. Which is the second smallest value? (a) -2 (b) r (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 336.6 to the nearest 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52\/69 + 2\/23. Let l be 33\/15 - (-4)\/(-2). Which is the nearest to h? (a) 0.3 (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 71. Calculate the remainder when 108 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5320*r - 10574. Determine h(2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-2 - (-4 - -8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 493422394 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y - 27*y = 125. Let p(r) = r**2 + 23*r - 3*r**3 + 27 + 12*r**2 - y*r + 2*r**3. List the prime factors of p(12).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/1887 - 5665\/3774. Let v = 22.88 - 22.9. Which is smaller: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/6)\/(2\/56). Let h be (-280)\/k + (-2)\/(-14). Sort -2, -3, -5, h in decreasing order.\nAnswer: h, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5219 and 248670?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2*g + 3*g)*(1 + 6*g - 1) - g**2 - 3*g**2 - g - 5*g**2.\nAnswer: -15*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2100384 and -97\/108.\nAnswer: 2100384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 768*p - 154*p + 287*p + 3 + 796*p + 2*p**2.\nAnswer: 2*p**2 + 1697*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 6*o + 4. Let b be d(6). Suppose 0*k + 4 = 5*k + p, 0 = -3*k - 2*p + 8. Let q = 1 - k. Calculate the highest common divisor of q and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202779.2 rounded to the nearest one thousand?\nAnswer: 203000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13851, -14031, -14211?\n\"Answer: -180*d - 13671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1227*p**2 - 1348*p. Let c(k) = -20*k. Give c(j(g)).\nAnswer: -24540*g**2 + 26960*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -243cb - -2?\nAnswer: -243c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t + 38*t - 3095554 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 6*b**2 + 6*b - 1. Let j(p) = p**3 - 4*p**2 - 14*p + 7. Let i be j(6). Calculate m(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35\/4 - 183\/20. What is the nearest to 0.3 in 0.2, -2\/11, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*v + 70*v - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -69*t. Let i be f(-2). Let s = -443\/3 + i. What is the common denominator of 48\/11 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8098, 8099, 8096, 8089?\nAnswer: 8078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.78868456 to two decimal places.\nAnswer: 3.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5523, 11837, 18151?\n\"Answer: 6314*a - 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 422387982 to the power of 1\/2, to the nearest integer?\nAnswer: 20552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17906979361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**3\/3 - 19*k**2\/3 + 21*k - 15 = 0?\nAnswer: 1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 3, 1, -3, 186 in decreasing order.\nAnswer: 186, 4, 3, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14 and 2327?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**3\/3 + 9*c**2\/2 - 3. Let v be a(-5). Let j = -11 - v. Solve 0 = 3*m + 3*b - 18, 3*m - 5*b + j = 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 423\/(-255) + (-680)\/(-425)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 + 2*y**4 + 0*y**4 - 3*y**3)*(11*y + 5*y - 5*y).\nAnswer: 22*y**5 - 33*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 7:45 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124 or -106?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*q + 3, 6 = z - 2*q - q. Suppose -z = 4*i - 7. What is the highest common divisor of 3 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - t = -14, t + 3*t = 4*a - 40. Suppose a = -4*f - 0*f. Is (2\/(-3))\/(f\/111) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.56 - 0.6. Let r = 1.96 - t. Let c = -3561\/8113 + 12\/1159. What is the third biggest value in r, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2 (b) -437\/74 (c) -0.1 (d) 0 (e) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*l, 5*x - l - l = 6. Find the third derivative of 5*s**5 + 17*s**x - 2*s**5 - 28*s**5 - 2*s**2 wrt s.\nAnswer: -1500*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.364 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148977*m**2 - 148607*m**2 + 299943*m**2 - 2.\nAnswer: 2359*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17247 + u**2 - 17247.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*n + 3*n + 18*n + 13*n as s*n + o and give s.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 8. Let p(b) = b**2 - 6*b + 6. Let w be p(6). Let h(m) = -m + 3. Let y be h(w). Is g < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-4)*-5 - 1. Let i be (3000000\/t)\/(1\/(-9)). Round i to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, -0.4, 2 in ascending order.\nAnswer: -4, -0.4, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 plus 169659790?\nAnswer: 169659789.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -814 - -864. Suppose -345*l = -335*l - q. Let m(v) = v**3 - 4*v**2 - 5*v + 5. Determine m(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b. Let i(u) = 8777362*u. What is n(i(z))?\nAnswer: 26332086*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 5*m - m + 20, -3*z - 4*m - 22 = 0. Let v be 1 + 34\/z - 0. Let r = v - -14. Which is the closest to 0.2? (a) 0.2 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262 + 527 - 265 + 15769*m.\nAnswer: 15769*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0*k**2 + k**2 + k**2 - k**2. Let u(v) = 9*v. Let a(t) = t. Let y(z) = -33*a(z) + 4*u(z). Determine y(p(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 = 2*s - 2*u, 4*u = -s + 20. Let k be 3\/6*(s - 2). Is 21 a factor of ((-21)\/k)\/(2 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y - 1 + 5 - 5. Let p(a) = 4*a + 1. Let m(n) = 8*n - 18. Let o be m(3). Give o*t(u) + 5*p(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 869310 to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 452 - 466. What is the third smallest value in 2, -4, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -35.3 (c) 61 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i. Let h(v) = v + 6. Let j(d) = -h(d) - 2*n(d). Let q = -65055 - -65055. What is j(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.1192 to one dp.\nAnswer: 14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -5\/3*a**3 - 1 - 3*a + 3\/2*a**2. Let z(w) be the second derivative of w**4\/3 - w**3\/3 + w**2 - 4*w. What is 3*t(l) + 4*z(l)?\nAnswer: l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 15*k - 2*j = 11, -k = j - 14. Let a(i) = -2*i - 8. Calculate a(k).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*u + 167 - 95 + 120 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 22 = -23*n. What is the remainder when 13 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11, 3, -6, -14, -4494 in ascending order.\nAnswer: -4494, -14, -11, -6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, c: 1, m: 1, d: 3, q: 5, a: 1}. What is prob of sequence cd?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -48*r + 5. Is h(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 253 - 285. Which is the biggest value? (a) 1\/3 (b) 1 (c) x (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2968 and 79792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7519924 to the power of 1\/2, to the nearest integer?\nAnswer: 2742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y = -3*j - 6861, y = 3*j + 6873. Round j to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -695*k + 238. Give x(1).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*i - 922*i**2 - 500*i**2 + 1952*i**2 + 18 + 119*i + 2509*i**2 wrt i?\nAnswer: 6078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 10, -12, 1102?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**4\/3 - 34*l**3\/3 + 60*l**2 + 37*l - 74. Let a(w) be the first derivative of y(w). Solve a(q) = 0 for q.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3\/8, -0.54, -6, 8\/5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 1:12 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 76718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 0*z**2 - 19*z**3 + (-5*z**2 + 3*z**2 + 4*z**2)*(0*z + z + z) - 10 + 10 + z**3 - 2*z.\nAnswer: -14*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 167681670 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15083*(-3 + 2\/1). Suppose -22*i + h = 1201. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 5, o: 3}. Give prob of picking 1 x and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3 + (0 + 3 + 2)*(-5 - 9 + 6) + (-5 - 1 + 3)*(-2 + 2 + 1 + (1 - 1 + 1)*(1 + 2 - 1) + 2 - 5 + 1))*(0*r**3 + 2*r**3 + 0*r**3).\nAnswer: -84*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, -33, -1\/5, -5, -0.5?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3. Let z(r) = r**2 - 8. Suppose -5*n + 6 = -3*n. Let v(g) = n*z(g) + 8*y(g). Let h(s) = -s**2. Let j = 7 - 9. Calculate j*v(o) - 5*h(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 375 - -28?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -359*c**4\/6 + 135*c. Let y(h) = 2*h. What is z(y(b))?\nAnswer: -2872*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**(2\/15)\/g)*g*g**(13\/4)*((g*(g*g**6*g*g*g*g)\/g*g)\/g)**(-10) assuming g is positive.\nAnswer: g**(-6293\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 10*u**2 + 9*u - 7. Let k(s) = -s**2 + 8*s + 1. Let i be k(7). Let y be z(i). Let l be (-14)\/y - (-16)\/9. Solve 0 = 3*x + l*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 + 16*t + 72. Let v be h(12). Let l(c) = 2*c**2 + 24*c + 139. What are the prime factors of l(v)?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360313 != 360313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2458 + 5205. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Let w = 12.5 - 2.5. Let v = 10.1 - w. Which is the third smallest value? (a) v (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -3 - (20 - -36).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 76*d**2 - 31*d - 460. Is j(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = 0. Suppose 5*b + 10*i = 6*i + 21, 5*b = 2*i + 27. Solve k = -3*t - 5*p - 9, 0 = b*t + 4*p - 0*p + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 358020 and 54.\nAnswer: 358020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 430 and 190705?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34827\/(-2679)*(-44)\/(-26).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**5\/20 - u**4\/2 + u**3\/2 - 9*u**2\/2 - 444*u. Calculate i(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5\/4 (b) -1\/32 (c) -4\/331 (d) 15 (e) 2\/11 (f) -0.2 (g) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 9*q**2 - 8*q + 1. Let y be j(-8). What is the tens digit of y\/(-4) - 1974\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -633140? (a) -2\/19 (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17121138 and -0.1.\nAnswer: -1712113.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 179856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 88 = -3*c, -5*h + 28 = 2*c - 56. Let g be 24\/c + 264009\/(-12). Round g to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 56186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*q**3 + 21 + 14*q**2 - 14*q**2 - 6 with respect to q.\nAnswer: -102*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*n = 3571, -n = -5*x - 3*n + 4439. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 218 + -170. What is the highest common factor of 384 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -82*v**4 + 120*v**3 - 45*v**2 + 7*v + 2. Let h(l) = -l**4 + l + 1. Let a = 20 + -18. Let z(f) = a*h(f) - j(f). Factor z(m).\nAnswer: 5*m*(m - 1)*(4*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -1.5. Let o = 12 + -8. Suppose 0 = -5*p - 4*u - 3 - 0, -o*p + 5*u = 27. Which is the closest to w? (a) -2\/19 (b) -3\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 26*p**5 + 34*p**4 - 70*p**3 - 50*p**2 + 44*p + 16 = 0. What is p?\nAnswer: -2, -1, -4\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 436057 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: Subtract -382 from 0.15.\nAnswer: 382.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23207*n**3 - 7742*n**3 - 7741*n**3 - 7725*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10350 times 0.3?\nAnswer: 3105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + (sqrt(171) + 5*sqrt(171)*-3 + sqrt(171) + 1)**2.\nAnswer: -78*sqrt(19) + 28895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - z + 23 = 0, -2*n + 2 = z - 12. Is 29496\/n + -2*(-5)\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27736777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88058 + -55329. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + u - 4. Let b = -6 - -1. Let i be (b - -2)*(-1 - -2). Let j be y(i). Solve -3 = -v - 0*v - m, -j*v = 5*m - 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/29, 0.01, 3, -3?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48823551 - -22723551. Round h to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(3) + 0)*-2 - (0 + sqrt(3) + sqrt(3) + sqrt(3) + sqrt(3))*-2)**2 + -5.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 5*x - 4. Let h be l(-5). Let o(m) = -3*m - 5. Let j(v) = -1 + 4*v + 6 + 1. Let c = 5 + -10. What is c*o(f) + h*j(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 49*c**4\/12 - 16*c**2 - 7*c. What is the first derivative of s(z) wrt z?\nAnswer: 98*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110220 - 12?\nAnswer: -110232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14204 and 871.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 5*v**2 - 4*v. Let u be d(4). Suppose -4*x + 1 + 15 = u. Suppose 4*b - 2*s - 63 = b, -2*b + 50 = -x*s. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -4*c + 7*c. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43916, -88146, -132392, -176660, -220956, -265286?\n\"Answer: -r**3 - 2*r**2 - 44217*r + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (7 + -7 + -2)*(-671)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -466 + 490. What is the highest common factor of o and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -86.\nAnswer: 8\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -x + 6, -6*x - 17*x - 19*x + 4*z + 19 = -47*x - 35 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcctthttthtt. What is prob of sequence ctt?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1727735000 rounded to the nearest one million?\nAnswer: -1728000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110 - -103. Which is the closest to w? (a) 2\/7 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t + 3. Let q be x(0). Which is the third biggest value? (a) q (b) 2 (c) 89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227838 - 0.3?\nAnswer: 227837.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 j when four letters picked without replacement from wwkwjjjwkwwwxjwkjw.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -22*q + 0*q**3 + 0*q**2 + 0*q**6 + 0 + 0*q**7 + 0*q**5 + 5\/6*q**4 + 5\/56*q**8. What is the third derivative of a(m) wrt m?\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91121 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-178)\/10 - 16\/80. Let r = 27 + m. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b844 (base 16) to base 10.\nAnswer: 112708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53571.32l?\nAnswer: 53571320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*u + 249*u + 5*u - 17*u + 42*u as s + i*u and give i.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2*a - 15 = 0. Let w be (-2)\/a*(-1 + -2). Suppose 3*v = d + v - 3, -4*v + 30 = w*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 14*o**2 + 53*o - 114. Give k(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2544*c - 385. Is t(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/7 + 38*w**3\/7 - 45*w**2\/7 - 234*w\/7 = 0.\nAnswer: -39, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2930 and 373282.\nAnswer: 1866410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2*((-1490)\/(-5215) + (-18)\/56).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-15))\/(11*(-130)\/110)?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(-36) + (-20)\/24\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 810 and 61920.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28.55 and -2.99.\nAnswer: 85.3645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbbz when four letters picked without replacement from {v: 3, b: 7, z: 3}.\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a3 (base 13) to base 3.\nAnswer: -11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttttttettettttttte.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35.7 - -34. Let r = j + 0.7. Let y = 1 - 4. Sort 0.4, y, r.\nAnswer: y, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 31086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -312510000080*o**3 - 625027500280*o**2 - 15000285*o - 90.\nAnswer: -5*(o + 2)*(250004*o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*n - 20, 7 = -j + n - 1. Let v(h) be the first derivative of -5*h**2\/2 + 22*h + 1. List the prime factors of v(j).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 335700*z - 335698.\nAnswer: -2*(z + 1)*(z + 167849)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 1 (c) 4 (d) 0.3 (e) 1\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*z + 250, 0 = 2*z + 3*a - 274 + 24. What is the remainder when z is divided by -77*(2812\/(-4389) + (-6)\/(-63))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8632 and 13958776.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by ((-28)\/5)\/(6\/(-15))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -4*c + r, -15*r + 11*r + 152 = 4*c. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 774634, 1549267, 2323900?\nAnswer: 3098533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/110 and -67\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1554*r - 8 = 1555*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 61 = 5*j, 16*j - 31*s = 49*j - 29*j + 352 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - p + 3. Let x be v(3). Is 10 a factor of 3\/x + (-183)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4*k**2 + 2*d**3*k**2 - 2*d**3*w - d**2*k*w + 2*d**2 + 3*d*k**2*w wrt d?\nAnswer: 48*d*k**2 + 12*k**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -5*u**8\/16128 - u**7\/1008 - u**6\/720 + u**5\/30 + 5*u**2. Let w(s) be the third derivative of j(s). Factor w(z).\nAnswer: -(5*z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2897196 divided by -114?\nAnswer: 25414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*z - 9. Solve b - z = 2*p, -5*b + 0*p - p = -17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09 + -0.07. Let d = -0.18 - -0.5. Let q = t - d. Sort 5, q, -4.\nAnswer: -4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402168.165 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Suppose -r + d = 6, 4*d = -2*r + 4 + 8. Let t be 12\/99*3\/r. Is t at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by ((-2)\/(-1))\/((-4)\/(-34)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r - 255 = -5*q, -q = 5*r - 80. What is the remainder when q is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*o = 36*o - 92*o - 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 469584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, 13, 28, 47?\n\"Answer: 2*m**2 + 5*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 9) + 18 + 40 + -69 + -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, -2174, -6089, -11546, -18545?\nAnswer: -27086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a7 + -5888?\nAnswer: -5962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 - (18 + (9 - 77106)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101953870?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1026 = -0*o + 6*o. Let t be (1\/6)\/((-76)\/o). What is the nearest to -2 in t, 1\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 - 0.66. What is the second biggest value in f, -5, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 2.5?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 763, 3086, 6965, 12406, 19415, 27998, 38161, 49910?\n\"Answer: d**3 + 772*d**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 7 - 6*b**2 + (b + 2 - 2)*(3*b - 3*b - 2*b)*(2 - 5 - 3)*(-1 + 0 - 1) to y + i*b**2 + g*b and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 4*l**2 - 2*l + 3. Let v be p(2). Let q(j) = -v*j + j + j + 3*j. Let h(m) = -7*m**2. Determine h(q(d)).\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110200111200222 (base 3) to base 7.\nAnswer: -111205511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836666*h**2 + 418346*h**2 + 418316*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1483.978l?\nAnswer: 1483978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 8*n + 9. Determine a(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 8:33 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10685 = -2540*p + 2642*p - 2104 - 217 for p.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -4*q**2 + 0 - 242*q**4 - q - 42592\/3*q**3 - 11\/5*q**5 - 1\/120*q**6. Let r(y) = 0. What is y?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + c - 2. Let d = -35 + 33. Let a be t(d). Suppose -7*l - 3*l = a. Put 2, l, -1, -5 in decreasing order.\nAnswer: 2, l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3044 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*v - 7 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 6*c**2 - 5*c. Let h = -24 + 29. Let v be y(h). Suppose -8 = 5*o - 3*z - v*z, 0 = o - 2*z - 4. Sort -5, o, -6 in increasing order.\nAnswer: -6, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672268 at most 672268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -2*d + 93 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**3 - 12*l**2 - 11*l + 4. Let o(v) = -5*v**3 + 11*v**2 + 10*v - 3. Let z(f) = 6*c(f) + 7*o(f). List the prime factors of z(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -32*n - 14*n - 33*n - n + 636 + 34*n. Calculate i(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/12*(-7)\/(-35)*18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -12. What is the nearest to 0.1 in 0, -1\/2, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -918 - -1755. Suppose v = y - 563. Round y to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14.207 and 39.\nAnswer: 24.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2244613963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4717 divided by 89\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/(sqrt(28)\/sqrt(4)))\/((-2*sqrt(35))\/sqrt(7))*-2)**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553371 is divided by 1724.\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/14582220 and -28\/426529935.\nAnswer: 1706119740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3946416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(1053) + 5)**2 + (sqrt(13) - -1*(sqrt(13) + 1)) + sqrt(13) + -2*sqrt(13) + -1.\nAnswer: 109*sqrt(13) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*w + 12 - 1, -5*w = t + 9. Let d = -4 - w. Let p = d + 9. Solve -2*k - 10 = -p*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = -i - 5*m, -9*i - 1681 = -14*i + m. Calculate the greatest common factor of 48 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**6\/120 + u**5\/15 + 5*u**4\/24 - u**3\/2 - 3*u**2. Let g be d(5). Is g <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 168 + -64. Let p = v - 103.02. Let d = p + -1.79. Round d to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2. Let c(f) be the first derivative of 16*f**2 - 8. Calculate m(c(n)).\nAnswer: -2048*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1887 - 3818 + 1931 - 4*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/40*2\/(-4). Let f = 0.4213 - 2.3643. Let o = 0.057 - f. Which is the second biggest value? (a) 10\/9 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -774 + 248 = 9*t + 5. Let n = -1 - -2. Which is greater: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64805 and 194415.\nAnswer: 194415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080096?\nAnswer: 2, 3, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*l**3*o**2 + 27*l**3*o - 3*l**2 + 3*l*o**2 - 11*o**2 wrt l?\nAnswer: -42*o**2 + 162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -240 - -245. What is the greatest common factor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 30243681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.042127361 to five dps.\nAnswer: 0.04213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174 + 174.2. Which is the fourth biggest value? (a) -0.3 (b) 33 (c) 5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 2. Let q be i(0). Let w(u) = 0 + 4 + 0*u**2 - 3 + u**q - 4*u. Determine w(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6*v - 63 = 0. Suppose 4*b - v = 11. Solve g + 4 = -3*q - 2, -b*g - 2*q - 17 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437 - 277 = 16*a. What is the smallest common multiple of 6 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 99184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*((-15)\/6)\/(-5). Let k(m) = -18*m**3 - 2*m**2 - m. Give k(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6786*h**3 + 117*h**2 + 117*h. Let l(f) = 117*f**3 - 2*f**2 - 2*f. What is 351*l(s) + 6*z(s)?\nAnswer: 351*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 1574.03339927?\nAnswer: 1572.03339927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(1\/34)\/g))\/(g**(2\/21)*g))**(3\/8))**45 assuming g is positive.\nAnswer: g**(28125\/1904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18017667331 and -0.0369.\nAnswer: 18017667330.9631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -20 - x + 24 - 10. Let k be y(-6). Does 20 divide 3 + (19 - (k - -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16535 + -5?\nAnswer: 16530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 5*u - 5. Let i(r) = -r - 1. Let j(a) = f(a) - 5*i(a). Let x(g) = 0 - 7*g - 2*g + 0. Determine j(x(l)).\nAnswer: 162*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 91, -9719.\nAnswer: -9719, 0, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*12\/99*12\/8. Let i(w) be the first derivative of -3\/11*w**2 + 7 + 3\/22*w**4 + 2\/33*w**3 - q*w. Determine o so that i(o) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by 2.\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231511 (base 6) to base 7.\nAnswer: -111565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15051.4 rounded to the nearest 100?\nAnswer: 15100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244340 is divided by 30101?\nAnswer: 3532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -2*w - 7, -3*d = w - 2*w + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1093 and 39169841.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (-1 - -1) + (-12)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 7*x**2 + 8*x - 1. Let n be u(-8). Let r = 72 - n. What are the prime factors of r?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14724.39 + 14830. Let z = k - 112.7. Round z to 1 dp.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23*(14\/2)\/(14\/6) - -8) + -5?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786502477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 5*y - 205, -4*x + 118 = -y - 31. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 6) to base 11\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -2113340?\nAnswer: -2113341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011711850648 rounded to 6 dps?\nAnswer: -0.001171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144007 to the power of 1\/2, to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = -5*u + 15*g + 94, 5*u + g - 92 = 0. Suppose 0 = 4*r - 2*r - 6. Suppose -r*t = -7 - 47. Are u and t nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*g + 39 + 29 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -47.63. Let s = 0.37 + o. Let t = -1.9 + 2. Which is the nearest to -2\/7? (a) t (b) s (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-31 - -19) + 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -1440855.\nAnswer: -1440855, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5223\/10052?\nAnswer: -5223\/10052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + f = -101970, -b = -3*f + 4*f - 16988. Calculate the greatest common divisor of b and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 1 + 3 - p - 3 + 0. Give i(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*q - 3813 = 141*q - 19330 for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127009 is divided by 42320?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 57*p - 87*p - 2984, -s - 3*p = 304 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syy when three letters picked without replacement from yysyyyyyyyyy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/53 (b) 3 (c) -0.3 (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoox. Give prob of picking 1 x and 2 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0526 + 0.4474. Which is the smallest value? (a) 0.046 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -32*p**2. Let c(b) = 21*b**2. Calculate -7*c(s) - 5*k(s).\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-42) + 56\/6. Let s(y) = -31*y + 11. Let b be s(-1). Suppose -3*h = -d*h + b. Solve 0 = -5*j - 10, -3*j - h = c - j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 32*d**2 - 32*d + 11. Let b be w(-31). Factor 2*k**2 - b*k - 4*k**2 - 3 + 35*k.\nAnswer: -(k + 3)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20485 divided by -15.\nAnswer: -4097\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-three halves of a microsecond?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 - 200?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)\/((-1)\/6). Suppose g*p - 246 = 3*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52666 or 52649?\nAnswer: 52649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - i**2 + 658*i. Let w(p) = -20*p**3 + 10*p**2 - 5920*p. Calculate -19*u(l) - 2*w(l).\nAnswer: 2*l**3 - l**2 - 662*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 9*l**2 + 4. Let s be o(-9). Suppose -s*q = -x + 20, 2*x - 2*q - q - 65 = 0. Let r = 66 - x. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 8*l**2 + 12*l**2 - 10*l**2 + 3*l**2 + 5 + 7 + 2*l. Determine z(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**2 + 7774108*n + 7774104 = 0.\nAnswer: -1943526, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25\/3, 3, -1, 14 in ascending order.\nAnswer: -25\/3, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.961995ug to milligrams.\nAnswer: 0.004961995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 55 = 4*c. Let t(k) = -4*k + 4. List the prime factors of t(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21, 43, 61, 75, 85?\n\"Answer: -2*r**2 + 28*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -34*t. Let k(w) = 172*w - 29. Calculate 5*a(q) + k(q).\nAnswer: 2*q - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**3 - 5*f**2 + 3*f - 6. Let n be l(3). Let t be ((-4)\/(-12))\/((-7)\/n) + 9. Determine s so that -2\/11 - 2\/11*s**3 - 6\/11*s - 6\/11*s**t = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/65 less than or equal to 41\/108766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -109700 to the nearest 1000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944894429?\nAnswer: 151, 6257579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 3*b**2 + 1. Let p be v(3). Let t be p*((0 - 2) + 7). Suppose 5*a + 5*c - 160 = 0, t*a + 2*c - 178 = 3*c. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -85. Solve s + 8 - m = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -527\/23 - -23. Let m = 0 + 0. Suppose 4*k + k + 10 = m. Which is the nearest to k? (a) -0.1 (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6334698.\nAnswer: 2, 3, 1055783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14222155 + 50167892. Let t = b + -10845737. What is t rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 + 1.5. Let m = 19.4 - 19. What is the second biggest value in u, -3\/2, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28887 divided by -263?\nAnswer: 28887\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 4*u**2 + u**2)*(3*u + 6132*u**3 - 31*u**2 + 13*u**2 - 6128*u**3).\nAnswer: -12*u**5 + 54*u**4 - 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10*15\/(-21). Suppose v*i**5 - 18\/7*i**4 + 64\/7*i**3 - 32\/7 - 16*i**2 + 96\/7*i = 0. Calculate i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7713.667um in centimeters?\nAnswer: 0.7713667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9898423l?\nAnswer: 989.8423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + -2 + sqrt(432) + sqrt(432)))**2.\nAnswer: -4608*sqrt(3) + 28224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2048, 10142, 24320, 44582, 70928, 103358, 141872?\n\"Answer: 3042*c**2 - 1032*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a millennium in years?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 205 = -209. Solve 0 = 5*l + 15, -v*l = -3*p - 4*l - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -3\/38, 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (946\/(-8))\/((-23)\/(-92)). Let y = c - -786. What are the prime factors of y?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/2, -5, -14, 0.07, 9?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4 + 23\/6). Let c be (-7)\/b - (-6)\/(-6). Let g(a) = -a**2 - 9*a - 14. Let p be g(-7). Does p = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-20) - 2\/(-8). Let l(k) = k**2 + k - 5. Let g be l(-4). Suppose -1474*v = 2*s - 1472*v, 3*s - 10 = 2*v. Solve s*m + g + 1 = b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195*((-51834)\/(-308070) - 4\/(-126)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01 - 0.99. Let m = -6.3 + 1.3. What is the closest to -2\/7 in 0.3, m, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7794007 to the nearest integer?\nAnswer: 2792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 79860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/15457 and 83\/104.\nAnswer: 123656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 0*u - 3*u)*(-4*u**4 + 2*u**4 + 0*u**4 + 2*u + u**4 - 2*u + (0*u**2 - u**3 + 0*u**2)*(-2*u + 4 - 4) - 2*u**2 - 2*u**4 + 2*u**2).\nAnswer: -u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -208.996 + -158696.52.\nAnswer: -158905.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -21*b + 5. Let m(p) be the third derivative of 5*p**4\/12 - p**3\/3 + 29*p**2. Let n(j) = 2*i(j) + 5*m(j). Let y(z) = 6*z**2. Give n(y(o)).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1151 or -8056\/7?\nAnswer: -8056\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 90906371?\nAnswer: 90906373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.3234\nAnswer: -1.617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 328468 and 4256?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650821.\nAnswer: 71, 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 2*a**2 + 2. Let t be l(-2). Let k be (24\/t)\/((-2)\/7). Factor -9*s**4 + 14*s**2 + 3*s**5 + 3*s**3 + k*s**3 - 17*s**2.\nAnswer: 3*s**2*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29504 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 5*v = -60. What is the lowest common multiple of 33 and v?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15729 in -4\/9, -2105, -0.3, 3?\nAnswer: -2105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 0*y**3 + 9 - 5*y + 0*y**2 + 1\/6*y**4. Let v(b) = 23*b**2. Calculate v(h(q)).\nAnswer: 92*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2678*j - 85674. Determine h(-32).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*q - 186, 0 = 3*z - 3*q + 5*q - 271. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6667745 months in centuries?\nAnswer: 0.00138897875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(7\/3)\/n)\/n*(n*n\/(n\/((n\/(n*n\/(n\/(n**5*n*n))))\/n)))\/n assuming n is positive.\nAnswer: n**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 16.02. Let i = p + -1.12. Let q = i - -1.3. Which is the third biggest value? (a) 4 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Let h(i) be the first derivative of i + 0*i**2 + a*i**3 + 1\/4*i**4 + 1. Differentiate h(s) wrt s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:18 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by -844.\nAnswer: -15\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-11)\/66 + 26\/4. Solve o*z = -0*z - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.22 - -0.18. Let z = 5.3 - p. Round z to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 26 = 3*m, 44 = 6*m - 2*m + 5*g. Suppose -m*q = -3*q. Let d be 2\/3 + (-2)\/(-6). Which is greater: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)\/y)**(10\/7)\/(y**(-2\/5)*y\/y**(-1\/3)*y) assuming y is positive.\nAnswer: y**(-253\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8239*m**2*s**3 + m**2*s**2 + m**2 + 7591*m with respect to s.\nAnswer: -24717*m**2*s**2 + 2*m**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/(-25) - (3\/5 + -1). Solve -14 = -4*i - g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.5 + 5.52. Let s = 0.02 - m. Sort 3, -1\/4, s in ascending order.\nAnswer: s, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2316?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y + 12 - 12)*(-3 - 1 + 5).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**4\/4 - 2*a**3\/3 + a**2\/2 + 5. Find l, given that p(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-15)\/14))\/(101412\/532413).\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 + 11*v. Let k(a) = -1516675*a. What is k(s(p))?\nAnswer: -6066700*p**2 - 16683425*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 6*v + 9. Let m(y) = -11*y**3 + y - 1. Is m(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111000011 (base 2) to base 8.\nAnswer: -2703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 7*g**2 + 6*g + 2. Let w be u(6). Let k(j) be the second derivative of 0*j**2 + 1\/30*j**5 + 1\/9*j**3 + 0 + 1\/9*j**4 - w*j. Factor k(h).\nAnswer: 2*h*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -40*i**3 - 241*i**2\/2 - 163*i\/2 - 1 = 0.\nAnswer: -2, -1, -1\/80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((69\/(-4))\/23)\/(13\/100*(-25)\/(-10))?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 254.\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17336077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -2 - (2 + -1 + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 2*t - 483 = -6*f, -4*f = -3*t + 385. Which is smaller: -83 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 3:21 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d - 31. Let m = d - -51. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (-876)\/(-63) - (-10)\/105.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 88*v**2 + 1310*v - 68. Give a(-69).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33477707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 + 10 = 0. Let x = -290 - -1041. Find the first derivative of x*l**4 - 765*l**4 - i - 5 wrt l.\nAnswer: -56*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 316850 and 316851 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -3 (c) -31.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bggggggggggggggbgg. Give prob of sequence bgg.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3\/11 - 4342*k**2 - 2056960*k\/11 - 12057696\/11 = 0?\nAnswer: -36, -7, 23924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least as big as -6\/13915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2*v + 326, 2*g + 0*v + 4*v + 338 = 0. Is g < -163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0202 rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**7\/84 - i**6\/30 + i**4\/12 - i**3\/12 - 8*i. Factor z(h).\nAnswer: h*(h - 1)**3*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394737991 is divided by 119.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -1\/2*d**2 - 11 + 0*d. Let m(k) = 2*k + 22. Determine g(m(r)).\nAnswer: -2*r - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/697 and 13\/1581.\nAnswer: 64821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + 0.04. Let r = v - -4.94. Let u = 4.134 + -0.134. Which is the second smallest value? (a) -4 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24195, 48214, 72063, 95754, 119299, 142710?\n\"Answer: 2*p**3 - 97*p**2 + 24296*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35644.\nAnswer: 2, 7, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 446 and 2007.\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364806 is divided by 1289.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*v + 20 = 0, -w - 5*v + 9 + 16 = 0. Let n = 89253\/2 - 1873465\/42. Let h = n - 61\/3. Which is the smallest value? (a) h (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36359 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -485\/6 + 81. Let f be 55\/44*1\/5. Put 2, c, f in descending order.\nAnswer: 2, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**3\/2 + 3*j**2 - 2627*j. Let d be (-9)\/(-3) + (2 - 10). Give w(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146004 - 146004 + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/110 and 5\/1694?\nAnswer: 8470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*1 + -2.\nAnswer: -2 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 7:44 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microsecond in nanoseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 7. Let b be v(5). Let z(l) = l**3 + 2*l**2 - 3*l - 3. Let d be z(2). Let x be b + 56*d\/2. What is the greatest common factor of 33 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 348, -20, 1 in descending order.\nAnswer: 348, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011111 - 100?\nAnswer: 1110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/12)\/((-1)\/(-6)). Let p(r) = -8*r**2 + 3*r - 1. Let y be p(n). What is the hundreds digit of ((-129)\/y)\/((-5)\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.39 (b) 0.5 (c) 2\/35 (d) -0.2 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99941 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 574 - 574.0592. Round c to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -30 - -17) + -8 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2019)\/(-45) - (-4)\/30. Let m be (-6)\/(-8) + x\/(-60). Let a(t) = t**3 - 2*t**2 - t + 9. What is the units digit of a(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4 = -0. Let r be 9\/y*(-4)\/(-12). Sort -6, -5, r in descending order.\nAnswer: r, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + o)*(-1509*o**2 - 2943*o**2 - 812*o**2).\nAnswer: 5264*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 2046*a - 3139587.\nAnswer: -(a + 3069)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1385, 1387, 1389, 1391, 1393, 1395?\nAnswer: 1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59.2 - 59.3. What is the nearest to 9 in c, -3, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -266 + 266.2. Which is the second smallest value? (a) -88 (b) j (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 177401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -295 - -294. Let i(b) = b**2 + 5*b. Let j be i(-5). List the prime factors of (r - -1) + (j - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*t**2 + 3*t**2 + 12*t**2 + 248*t)*(7*t - 3*t - 3*t + (3 - 7 + 3)*(20 - 7*t - 20)) in the form k + d*t**2 + b*t**3 + c*t and give d.\nAnswer: 1984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 811, 862, 925, 1006, 1111, 1246, 1417, 1630?\nAnswer: 1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 22*d + 4628256*d**2 - 14*d**3 - 4628256*d**2 + (0 + 4 - 6)*(-2*d**3 + 1 - 1).\nAnswer: -10*d**3 + 22*d + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**6\/120 + p**5\/15 - p**4\/24 + 31*p**2. Give n(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.2931.\nAnswer: -0.8793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1166755839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/4 + (-6)\/4)\/((-371)\/3339)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 146*i**2 - 90*i**3 + 7*i**2 + 177*i**3 - 89*i**3 to l + x*i + o*i**2 + n*i**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 901 or 828?\nAnswer: 901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**3 + 13*l**2 - 20*l + 66. Let m be w(4). Solve 5*i = -0*i - m*g - 26, -5*g = 5*i + 35 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4977 + 39817\/8. Suppose 4*c + 2 = 10. Find v, given that -x*v**c - 1\/4 + 3\/8*v = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -307 (base 11) to base 5\nAnswer: -2440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1780 is divided by 16\/32*-2 - (-1 + -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 12, -2*d - 2*p + 247639016 = p. Let s = d - 182319514. What is s rounded to the nearest 1000000?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**7\/840 - p**6\/720 + p**5\/60 + p**4\/12 + 4*p**2. Let b(l) be the second derivative of f(l). Calculate b(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 - -4\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -1002.14.\nAnswer: -1002.14, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*w = 3*w + 751050. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 16*p. Let c(j) = j**2. What is d(c(y))?\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50696, -101391, -152082, -202769, -253452, -304131?\nAnswer: -354806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000061944 to seven decimal places.\nAnswer: -0.0000619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171074?\nAnswer: 2, 23, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -142c (base 14) in base 13?\nAnswer: -1816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3 - 1) + 1562*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 30*x = -19 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196075*v**2 - 16*v + 982 wrt v.\nAnswer: 392150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1016 = -4*x + 3640. Let c = -648 + x. Calculate the highest common divisor of c and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 1*1\/1. Let i be (-20)\/(-25)*(-5)\/d. Suppose 0 = -i*h + 3*p, -4*h = 4*p + p + 22. Put h, -1, 1 in increasing order.\nAnswer: h, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*70\/(-336))\/(4*35\/(-2576))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 24411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-6)\/10) - (17 - 14). Let g(c) be the second derivative of -1\/20*c**5 + 0 + 1\/4*c**4 + 5\/6*c**3 - x*c + 3\/2*c**2. What is g(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -513 rounded to the nearest 10?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 4 + 2 + 5. Suppose -5*h + 34 = -6. Let s be l(h). Sort s, -2, 0 in increasing order.\nAnswer: -2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2881 and 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 2844.\nAnswer: 2843.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 222 and 1184?\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p = 10*p + 112 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)\/(m*m\/(m**(-2\/9)*m)))\/((m*m\/(m\/(m**(2\/25)\/m)))\/m**3) assuming m is positive.\nAnswer: m**(-1418\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 173256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w. Let m be ((-3)\/(-12))\/((-1)\/(-4)). Let k be g(m). What is the highest common factor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -22*t - 111 + 13 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 7. Solve 0*o = b*n - o - 17, 0 = 2*n + o - 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2520.1 from -305810738.\nAnswer: -305808217.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 3\/2*i**2 + 5 - 3*i**3 + 0*i. Factor o(m).\nAnswer: -3*m*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 42 = -2*w. Let d = w + -14. Suppose d + 0*o + 0*o**2 - 1\/3*o**4 + 0*o**3 = 0. Calculate o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17669630437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/31 (b) 5.7 (c) -9 (d) 4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8712 = -8*x - 0*x. Calculate the greatest common factor of x and 847.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -194 (base 11) to base 16.\nAnswer: -e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 3860095*q**2 - 11580380*q + 38601100.\nAnswer: 5*(q - 772022)*(q - 2)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, j: 6, v: 5, y: 2, t: 5}. Give prob of sequence vvy.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-2)\/(-2) - -3. Let v = 161834 + -161831. Let w(j) = 4*j. Let l(c) = -3*c - 1. Determine m*l(f) + v*w(f).\nAnswer: 6*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 7*n**2 - 3*n + 1. Suppose -4*z + 10 = 3*a, z + 15 + 11 = 4*a. Calculate the remainder when 53 is divided by k(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4557, -4558, -4559, -4560?\nAnswer: -4561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 628 and 396.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2 and -37\/260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 200*t + 123*t - 611, 4*t + 5 - 20 = -j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + c - c - 5*c**2 + 14.\nAnswer: -5*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/63175 and -41\/216600?\nAnswer: 1516200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -323*t - 94. Let s be f(9). Let q = s - -5438. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16\/55 + -328\/385. Is r at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -22 + (-10 - 2) - -3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2223 divided by 57.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(2*3\/(-6)) - -55. Calculate the greatest common divisor of 450 and a.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4538422 + -3?\nAnswer: -4538425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26803876*q**2*u - 2*q*u - 567554*q - 1 wrt q.\nAnswer: -53607752*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.429 - 0.029. Let r = y + -9. Let f = r - 5.4. What is the smallest value in 5, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 16) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 0 (c) 1\/23681\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 32*l**2 - 4*l - 132. Let d be y(-32). Put 34, d, 5 in increasing order.\nAnswer: d, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2440575?\nAnswer: 3, 5, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537 - 387 = 89*z - 163*z + 107*z for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 3.1?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + g**2 - 2*g + 1. Let i = -77 + 80. Let r be 24\/20 - (i + -2)\/5. Give y(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 - 52\/(-16). Suppose -o = -3*o + 4. Let z(h) = h**2 - 5*h - 5. Let l be z(5). Sort p, o, l in ascending order.\nAnswer: l, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142765?\nAnswer: 5, 7, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 173254\/1309 - 1461\/11. Let g = z - -4\/119. Let l = -23\/38 + 2\/19. Sort g, 0.2, l.\nAnswer: l, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, q: 1, w: 3, c: 3, k: 3}. What is prob of sequence wkku?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123 + 155. Let g = 868 + -580. Calculate the highest common factor of g and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/15 + ((-423)\/45 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**2 + 17*d + 20. Let h(u) = 2*u**2 + 6*u + 7. Let m(g) = 3*c(g) - 8*h(g). Let t be m(-3). Solve -5*z = -t + 33 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -318*(351\/396 - 2\/8). Let r = -53017\/264 - h. What is the common denominator of -77\/2 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/81 and 26\/27.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-5\/6)*p*p**(-1\/4)\/p*(p*p\/p**(-1\/2))**(-1\/31)*(p*p**(-2\/3))**(-3\/4)*p*p**(1\/5)*p\/(p\/(p*p**(-2))) assuming p is positive.\nAnswer: p**(1351\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**4\/24 - 6*g**2. What is the tens digit of h(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -483 - -462. What is the common denominator of 942\/(-105) + ((-72)\/u)\/6 and (-2 - -1) + (-28)\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48 + 6\/4*-2. Let n = o + -16. Solve -2*y = -5*t - 21, 4*t + 2*y + n = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324aa (base 11) in base 15?\nAnswer: deae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1384.7, -13 in increasing order.\nAnswer: -1384.7, -13, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 0.0567, 0, -4, -1, -199?\nAnswer: 0.0567","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -21*i**2. Let s(n) = 0*n**2 - 153*n + 153*n - 12*n**2. Give s(k(t)).\nAnswer: -5292*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**3\/8 - 159*l**2\/16 - 81*l\/4 - 230. Factor v(f).\nAnswer: 3*(f - 54)*(f + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let d be -1 - (2 - 11 - -1). Suppose 2*u = 4*y, -d*u + 5*y = -s*u. Sort 4, u, -3 in descending order.\nAnswer: 4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = -2*x + 8 - 24, 4*x + 3*d = -14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**3 + 43*g**2 + 12*g - 33. Give t(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**4 + 114*c**3 - 1701*c**2 + 5044*c = 0.\nAnswer: 0, 4, 13, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -22?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1541 * 0.488.\nAnswer: 0.5632008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -4. Let q be 2\/3 - 404\/1590. Let c = 2\/159 - q. Which is smaller: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 90\/(-18) - (7153 - -2). Round g to the nearest 100.\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(19) - sqrt(19)) + 3 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**(-2\/21))**20 assuming t is positive.\nAnswer: t**(-40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3748065 is divided by 93?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540433 (base 8) in base 16?\nAnswer: -6c11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from bbbshsshbb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, z: 4, u: 3, k: 1, x: 2}. Give prob of sequence tzzu.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -303, -465, -627?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.868 - -0.42. Let o = -0.948 - l. Let s = 3 - 2.8. What is the fourth biggest value in -4, s, o, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.074513 litres?\nAnswer: 9074.513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2036, 4231, 6426, 8621, 10816, 13011?\nAnswer: 15206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2262*m + 6796. Determine k(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 156875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*p + 4*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 74 + 75*d + 253*d + 39*d + 114*d. Is m(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27100.71 kilograms to grams.\nAnswer: 27100710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 119*c + 89 + c**2 - 112*c + 163.\nAnswer: c**2 + 7*c + 234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 33*m**2 + 486*m - 262. Give z(-13).\nAnswer: -1003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 55 - (35 + -10 + (7 - 4))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -702, -1404, -2106, -2808?\nAnswer: -3510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 196734 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/10 and 51\/1066?\nAnswer: 5330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4 - 43) + (-5 - 0 - (62 + -65)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 6. Calculate r(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zznaazzzznaz. What is prob of sequence azn?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6}. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -26045 divided by -26045?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5861.01 - 5861. Suppose 5*h + 30 = 3*w - 8*w, -4*h + 6 = -2*w. Which is smaller: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32, -123, -268, -467, -720, -1027, -1388?\n\"Answer: -27*f**2 - 10*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -y. Let w(v) = -v**2 - v. Let m be w(1). What is the closest to -1\/3 in -1, m, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231121022 (base 4) to base 12.\nAnswer: 8b722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5368182 to the nearest integer?\nAnswer: 2317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 2*i + 825*i**3 - 826*i**3 - i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.2, -5, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7 - 7*z + z + 0*z + 0*z. List the prime factors of m(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -285438 or -285443?\nAnswer: -285443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d + 2*k = -5, -k = 2*d - 5. Suppose d*f = v + 2*v - 12, 4*v + 2*f - 16 = 0. Let y = -7 - -4. Sort y, v, 5 in increasing order.\nAnswer: y, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**8\/1680 + p**5\/30 + p**3 + 2*p. Let h(f) be the second derivative of r(f). Find the second derivative of h(k) wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10695\/(-1705)*(-44)\/4\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*6\/(-8)*-23 + 3. Let w be 1*(f\/(-10) - 6). Which is the second biggest value? (a) w (b) 0.7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111000101212220120 - 12?\nAnswer: -111000101212220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*b - 1755, d = -3*d - 3*b - 2347. Round d to the nearest ten.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g. Let o(m) be the first derivative of -141*m**2\/2 + 309. What is d(o(b))?\nAnswer: -141*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 11:48 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(272)*-6 + -3 + ((-2*sqrt(187) - sqrt(187))*-2)\/(sqrt(55)\/sqrt(5)*1))**2.\nAnswer: 252*sqrt(17) + 29997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**3 - n - 1. Suppose y = -2*y - 6. Suppose 12*o + 4 = 16*o. Let v be y\/o + (1 - 0). Calculate z(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 6*p - 3. Let x be n(-7). Is 56 - (x + -3)\/1 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-18)*(-360)\/(3690\/(-123))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(459)\/sqrt(3) + sqrt(204)\/(sqrt(12)*4) - (-2*1*sqrt(833) - (sqrt(833) - (((sqrt(833)*2)**2 - sqrt(833)) + 0 + sqrt(833)))).\nAnswer: -3332 + 97*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 236 = -q - 39, -358 = -2*q - 4*z. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21545 in 0.1, 13, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -4, 43, 0.2 in increasing order.\nAnswer: -4, 0.2, 43, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -538.14 + 538. Which is the closest to 0? (a) r (b) 2 (c) 2\/13 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-298930)\/(-537))\/334)\/(2\/(124\/10))?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -80, -189, -312, -449, -600, -765, -944?\n\"Answer: -7*y**2 - 88*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -18018 and -18015 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6029?\nAnswer: 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -917*w + 1445. What are the prime factors of k(-6)?\nAnswer: 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170771093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 111201144?\nAnswer: 111201133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88221 is divided by 17640.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 36*n + 5. Let d(s) = 8*s - 228. Calculate p(d(j)).\nAnswer: 288*j - 8203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-18)*(-6)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 at least 720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2*z**2 - 10 + 8.\nAnswer: -2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1)*13\/65)\/(1496\/80).\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160146042 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_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: Are 16 and -17.99 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llbbblbb. What is prob of sequence lll?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + v**2 + 61*v - 196. Determine u(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0 (c) -1301 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -266088550 or -266088549?\nAnswer: -266088550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1130570 and 49?\nAnswer: 7913990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4564 = 35*f + 1834. Let p = 173 - f. Calculate the greatest common divisor of p and 380.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 > -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -624419782645 and -0.4.\nAnswer: -624419782645.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 622932011 + 5.75.\nAnswer: 622932016.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 110 = -40*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.3. Let g = -123 - -939.8. Let v = g + -817. Sort u, v, 1.3 in descending order.\nAnswer: 1.3, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from ayaakaavakkh.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 9*z**2 + 89*z - 15. Give p(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(-5)\/((-25)\/(-2)). Let h(y) = 2*y + 1. Let k be h(f). Let z = k + -4. Which is the nearest to -0.1? (a) 4 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/5, 3\/4, -1, -23922 in decreasing order.\nAnswer: 3\/4, -1, -8\/5, -23922","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447, 899, 1353, 1809, 2267?\nAnswer: 2727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 765?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -448331 * -1\nAnswer: 448331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from ehegggy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(363) - (1 + sqrt(48) + -1 + (sqrt(6)\/sqrt(2) - sqrt(3))))**2.\nAnswer: -70*sqrt(3) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -156454*j**4 + 9*j**2 - 78*j + 3 wrt j.\nAnswer: -3754896*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/12 and -125\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + 605 + b - 605 to q*b**2 + o + x*b and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q + 47*q + 35*q + 35*q.\nAnswer: 106*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 >= -2672\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1761 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 80578.65 nanometers?\nAnswer: 0.08057865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 2, h: 1, i: 3, b: 4}. Give prob of picking 1 h and 1 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154)\/sqrt(28))\/(sqrt(11) - -1*sqrt(275)) + -2)**2.\nAnswer: -sqrt(2)\/3 + 289\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*3\/4*(-18)\/(-54)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 4*v**2 + 3*v - 5. Let j = -60 + 65. Suppose b + 2*b + 12 = 0, 2*a = -j*b - 12. Determine n(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -175 * -1.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 38 = -3*y - 2*p, -5*y - 2*p + 95 = 0. What is the remainder when y is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 8*a - 7. Let p(b) = -b**2 + 8*b - 1. Let z be p(7). Let h(s) = -3*s**2 + 8*s + 8 - 9 + 4*s**2 - z. Let u be h(-8). What is d(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2 - 8*k - 2*k + 3 + 8*k. Is 11 a factor of n(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6719782 to the power of 1\/2, to the nearest integer?\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1365.285291 and 1?\nAnswer: 1364.285291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5 = -2*f, 5*f = -4*c + 1 + 69. Suppose 15 = 15*x - f*x. Suppose -x*z + 4*q = -0*q - 210, -z + 2*q + 72 = 0. Is 37 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10619, -42553, -95767, -170249, -265987?\n\"Answer: 2*z**3 - 10652*z**2 + 8*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.1 (b) 13 (c) -5 (d) 0.5 (e) -14\/3 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315456 and 163587.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 8*d**2 + 5*d**2 + (0*d + 0*d + 2*d)*(5*d - d - 3*d) to a*d + t + k*d**2 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)*n**(-1\/5)*(n\/((n*n\/(n*n*n**(1\/4)*n))\/n))**(-19) assuming n is positive.\nAnswer: n**(-1359\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - (-23 - -26).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99500*a**2 + 128772*a - 2?\nAnswer: 199000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12353 - 61763\/5. Sort -2, 11\/8, p, -0.2 in decreasing order.\nAnswer: 11\/8, p, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = 0, 0*p - 2*p = 2*b - 176. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = 58*l + 18*l + 328 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/99*-1*1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11628 = -13714*b + 14020*b for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 9*y**2 - 4*y - 3. Let m(k) = -2*k**3 - 10*k**2 + 5*k + 3. Let n(p) = -3*i(p) - 2*m(p). What is n(5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:37 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -190, -0.5, 1.923, -1, -5, 3 in descending order.\nAnswer: 3, 1.923, -0.5, -1, -5, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44265 divided by 14755?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -201202221 (base 3) to base 6\nAnswer: -150424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -560689.6 * -2\nAnswer: 1121379.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 7. Let q be g(-4). Let w(x) = x**2 - x - 4. Is w(q) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*q + 3756 = 0, 3*f = q + 11479 - 200. Let w(z) = f - 3760 + z. Let j(m) be the second derivative of 5*m**3\/2 - 3*m. Give j(w(d)).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 5. Let g be 300\/(-24) + 1\/(-2). Let k = g + 30. Let d = -10 + k. Let t(h) = -2*h - 9. Determine d*i(l) + 4*t(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 11:39 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7135 < -7135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 17. Suppose 2*t - 85 - m = 0. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(10\/9)\/x*x)\/(x\/(((x*x**(-3\/5))\/x)\/x)))**(-1\/10)*((x\/x**(-7))\/(x\/(x**(-5)*x)))**(7\/4) assuming x is positive.\nAnswer: x**(4859\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 189 + -149. Is 800\/(-6)*(-192)\/g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/6 - 17*q\/3 + 11\/2.\nAnswer: (q - 33)*(q - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 27*g**2 - 72. Let j(v) = -v**2 + 2. Let q(a) = -36*j(a) - k(a). Let i(x) = 2*x. Calculate i(q(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/1077732 and -101\/54.\nAnswer: 1077732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -3. Let v = 1.966 - -0.034. Which is the second biggest value? (a) v (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 4*j. Let k(h) be the third derivative of 14*h**2 - 1\/30*h**5 - 1\/8*h**4 + 0*h**3 + 0 + 2*h. What is -3*k(s) - 4*m(s)?\nAnswer: 2*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 302 + -238.6. Let c = 4.4 - i. Which is greater: 0.2 or c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1829000 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**2 - 2*s. Let j = -48 - -52. Let y be 70\/6 + (-12)\/(-36). Let o be (2\/j)\/(y\/48). Give p(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from tgtbvdyvbvbtdy?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -26256, 4, -1\/4 in decreasing order.\nAnswer: 4, -1\/4, -1, -26256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 6:59 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*r - 13 + 3 = 0, 0 = -5*y - 2*r + 25. Suppose -4*u + 5*i = 15600025, u - y*u + i - 15600005 = 0. Round u to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/116 and -13\/40.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.2? (a) -177 (b) 48 (c) -0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11568, 12390, 13200, 14004, 14808?\nAnswer: 15618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/(-228) + 38\/12 + 11. Solve 0 = -3*p + t + 15, -p - 4*t + 19 = b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -10. Let r be 2 + (-2 - (-8)\/(-16)). Put m, 1, r in decreasing order.\nAnswer: 1, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287898.\nAnswer: 2, 643949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 76 = -4*r, -3*r = 2*f - 0*r - 163. Let d be f\/3*(-2250)\/(-12). What is d rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 24 = -s, 2*h = 4*h + 2*s - 2. Suppose 2*f - z - 28 = f, h*z - 190 = -5*f. Solve -f = -5*u - 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209 - -209.2. What is the biggest value in 3, -3, 0, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10405182365928 + 5.\nAnswer: 10405182365933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*v - 2*a - 21, -5*v - 5*a = -35. Calculate the remainder when 25 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -379, -569, -759, -949?\nAnswer: -1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1281, 1292, 1303, 1314, 1325, 1336?\n\"Answer: 11*a + 1270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6864 and 6864?\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8.2, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 612246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 410 + -257. Calculate the highest common divisor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*y + 55*y - 173*y - 220 = -54*y for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -1\/6*z**3 - 1\/24*z**4 + 1\/15*z**6 - 4*z**2 + 1\/60*z**5 + 0 - 3*z. Give j(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -158*y + 294. What is the units digit of p(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -9. Solve -d*u + 0*u - 15 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 14*m**2 - 6*m - 13. Suppose 5*k - 24 = 116. Calculate the remainder when q(-2) is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1032 - -1476. Let d = -62 + q. Let v = d - 381.9829. Round v to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, k: 1, a: 7, e: 1}. Give prob of picking 1 a, 1 q, and 1 e.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 620891645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 6*w**2 + 3. Let n be d(-6). Suppose -3*r + 0*r - 78 = 0. Let j be (-100)\/r + 30\/195. Solve -j*u - 1 - n = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 15) in base 8?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.118 - -13.2. Round r to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + i. List the prime factors of v(5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00039358 to five decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 6:10 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mommooommo. Give prob of sequence ommm.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - h)*(-2*h + h + 4*h) - 26*h**2 + 7*h**2 + 3*h**2 + h**2 - 2*h**2 + 0*h**2 as s*h**2 + l*h + i and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 840245644 to the nearest integer?\nAnswer: 28987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298843 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 8736.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (9 + 0 - (-12 - (4 - 8))) - -30\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 - 3*a**4 + 3*a**4 + (4 - 3 + 1)*(0*a**4 - 2*a**4 + a**4) - 3*a**4 - 5*a**4 + 5*a**4)*(3 + 1 - 1).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddccdcdmddddddd. Give prob of picking 3 d and 1 c.\nAnswer: 429\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s**2 - 6. Let q(u) = u**2 - 1. Let z(t) = c(t) - 6*q(t). Let x be 3\/(-12) + (-9)\/(-4). Suppose -l - 7 = -x*r, l - 8 = -0*r - r. What is z(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - c + 6*c = 4, -4*c = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 672 and 3264.\nAnswer: 22848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 3. Let t be y(0). Let w = 2\/1327 + -3995\/9289. Sort w, t, 2\/3.\nAnswer: t, w, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12650, -15609, -18568, -21527, -24486, -27445?\n\"Answer: -2959*s - 9691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*k**2 - 14 - 8 + 2*k + 22 in the form r*k**2 + h*k + o and give r.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 3:55 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 6 + 27*j + j to the form x*j + m and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 106706 + 29621. List the prime factors of t.\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 30*o - 2313. Let s be z(90). Solve 374*k = s*k - 104 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 0 - (-5)\/5. Suppose 3*n + 30 = 2*n + q, -5*n - q - 174 = f. What is the common denominator of 26\/3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17463782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwwwowwwwwwwwo. Give prob of sequence wo.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -13 + (-2 - -8) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 16*r**2 - 7*r - 29. Let u be l(-9). Calculate the highest common factor of u and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 7970947, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-1*5*4.\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.041 - -15.459. Let h = m + -32.4. Let i = 17 + h. Which is the third smallest value? (a) i (b) 0 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(-3))\/(804\/(-3716289)).\nAnswer: 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.6, -2, 0, -0.04, 7.88?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*p + 6. Solve 5*z + p*n = 21, 3*n - 2*n = 5*z - 27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0 = -3. Suppose -2*h + c*t = -46, 0 = h - 4*t - 23 - 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13528 and 47176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 2*r**2 + 1. Let o be m(-1). Let z(j) = 2*j**2 - j + 8. Let x be z(o). Let s(v) = 3*v**2 + 3*v - 4. Let a be s(1). Solve 3*d + x = a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 0. Let i = -0.043 - 48.557. Let o = i - -49. Which is the second smallest value? (a) f (b) 8 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 != 486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 18 = u, 0 = 5*u - 0*f - 2*f - 18. Factor 0*h + u*h + 2*h + h**3 - 5*h.\nAnswer: h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + (-612)\/90)\/((-7)\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 310993 + -115689295\/372. Let w = z - 2\/93. What is the biggest value in w, -1, 1, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1. Let a = 100 + -103. Let b be (1\/(-3))\/((-1)\/a). Let k(f) = -21*f + 2. Let p(t) = b*k(t) - 2*i(t). Let q(h) = 3*h. Determine q(p(s)).\nAnswer: 63*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -115*r + 1044. Calculate the remainder when 242 is divided by d(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -191 and -5.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140 + 140. Suppose -5*t = -g*t - 0*t. Let d(h) = h**3 + 9. Determine d(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 17 = -b - u, -4*b - u = -53. List the prime factors of 2\/3 + 196\/b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 1) + 2 + 0. Suppose -2*b = -5 - z. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10*w + 46. Determine p(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -73, -82 in ascending order.\nAnswer: -82, -73, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110 (base 2) in base 15?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-4))\/(7\/14). Suppose w - r = -11. Let x(z) be the first derivative of z**3\/3 + 2*z**2 + z + 2. Give x(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-5)\/((sqrt(16)\/sqrt(2))\/sqrt(2)).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2007, -4010, -6011, -8010?\nAnswer: -10007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2 + 11*i + 7*i + 29*i. Suppose -4*l - 5*v = 8, -4*v - 5 = l - 2*v. Is o(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4253 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 820, -3\/7, -3\/13, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1794*y**2 + 102*y - 283. Is b(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 654227916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/870843 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a**2 + 31*a**2 + 2 - 66*a**2 - 568*a**3.\nAnswer: -568*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10191000 rounded to the nearest one hundred thousand?\nAnswer: -10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4543 divided by 77.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/24 and 91\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 72 = 2*j, s - j = 26 - 8. Suppose -2*w + 3*w - 5 = 0, 3*c - 16 = -2*w. Which is bigger: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -88092*q**2 - 24. Let g(w) = 25169*w**2 + 7. Determine -24*g(d) - 7*p(d).\nAnswer: 12588*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 60847?\nAnswer: 60847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 4. Let o = p - -1. Factor -f**4 - 1 + 3*f**3 + o*f - 5*f**3 + 2.\nAnswer: -(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 9:29 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 394.26 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 152 = p. Let s be (4\/10)\/(p\/(-10)). Let v = 3.29 + -2.99. What is the biggest value in v, s, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3116014*-8.6.\nAnswer: 26797720.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v - 2*v - 15*v**2 - 25*v**2 - 11*v in the form d + q*v**2 + i*v and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 142086740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 4*i - 2. Let p be 1*-2 + 7\/1. What is the units digit of l(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -25, -54, -95?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-120)*-6*((-252)\/(-75))\/14.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10355057 + 8*g + 10355057.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w + 6. Let d(a) = 1. Determine -3*d(u) + x(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2066 by 5.\nAnswer: -2066\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.13 (b) 4 (c) 1 (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8938.9 + 8939. Let d = -1.7 + 1.7. What is the smallest value in 0.5, o, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/8 + (-14)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 g when three letters picked without replacement from {l: 4, g: 3, k: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -140136258 less than 0.629?\nAnswer: 140136258.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9405117977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -40*u - 1. Let q(r) = -r**2 - 168*r. What is q(v(f))?\nAnswer: -1600*f**2 + 6640*f + 167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 18 - 11*b**2 + b + 48 + 57 as j*b + n*b**2 + c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3\/5 + 171802*f**2\/5 + 326986528*f\/5 + 31470888064 = 0.\nAnswer: -83965, -968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -121, -113, -91, -49, 19, 119, 257?\n\"Answer: q**3 + q**2 - 2*q - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/5)*l*l)**(-1\/2)*l**(5\/6)\/(l**(2\/23)*l))**(8\/9) assuming l is positive.\nAnswer: l**(-2632\/3105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 126. Let z(d) = -d - 43. Calculate 6*m(l) + 17*z(l).\nAnswer: -11*l + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*l - 10*l**3 - 56*l + (2*l - 1 + 1)*(-3 + 2*l**2 + 3) - 93*l**3 - 1 - 1 + 83*l**3 - 5*l**3 + l**3 + 3*l**3.\nAnswer: -17*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1855*n - 61 - 66 - 60 + 187.\nAnswer: 1855*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = 6*o + 72 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2009 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 10. Let w(y) = -y**2. Let t be w(1). Put 1, t, n in descending order.\nAnswer: 1, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruv when three letters picked without replacement from {g: 2, u: 2, r: 1, m: 2, v: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*j - 0*d + 1, 4*j + d - 8 = 0. Suppose -4*i - 3*k = -1 - 25, i - 11 = -j*k. Let p = -33 - -63\/2. Put p, i, -0.4 in descending order.\nAnswer: i, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 3, z: 2, j: 2, t: 2, p: 4}. Give prob of sequence pz.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -619 + 613. Let p(l) = -21*l - 19. Calculate the remainder when p(o) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/20 and 49\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*m = -18, x + x + 4*m = -26. Let v be 6\/4*(-7 + x). Let o be 9\/v*(-1)\/1. Which is the third smallest value? (a) o (b) 0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -7 - (3 - (-2 + 15))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82 and 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = -2*i - 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-5) + 4\/((-160)\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(315))\/(sqrt(180) + (sqrt(180) + sqrt(180) + (sqrt(180)*1 + sqrt(180) + sqrt(180) - sqrt(180)) - sqrt(180))).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/(1\/(-3)). Let x be (0 - (h - 2)) + 2. Let g be x\/(-10) + (-51)\/18. Which is greater: 0.1 or g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573564019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -128. Let v = s + -345. List the prime factors of (-1)\/2 + v\/(-2) + -2.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2125*x**2 - 484 + 227 - 471 - 2207*x**2 with respect to x.\nAnswer: -164*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2, 1\/3, 2\/7, -69484 in increasing order.\nAnswer: -69484, -1\/4, 2\/7, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 143*f**2 - 137?\nAnswer: 286*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - -2.97. Let r = q - -14. Let t = 17.0041 - r. Round t to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 12 - 2)*(3 - 3 - f + (-1 - 1 + 1)*(9 - 23 - 17)*(-2*f + 0 + 0)) to the form b*f + j and give b.\nAnswer: 1638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*y**3 - 3*y + 3*y - 69*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 6*j + 1. Let p(o) = -2 - o**2 + 3*o - 3*o + 6*o. Let c(w) = 3*m(w) + 2*p(w). What is the units digit of c(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84982, -84980, -84978, -84976, -84974, -84972?\nAnswer: -84970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -3*q - 18, -42*g - 23 = -44*g + 5*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*w + 5 = -4*d, 2*d - 5*w = 31. Let u = 9 - d. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 3:27 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53\/8? (a) 20 (b) 56 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013750491 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3230748 - -29032286\/9. Let x = f + 4944. Find the common denominator of x and -59\/44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**5 + 238*f**4 + 1998*f**3 + 4298*f**2 + 2540*f = 0.\nAnswer: -5, -2, -1, 0, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -5*g - 21, 8 = 3*x - g + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 332*a - 327*a - 25. Suppose 8*r - 51501 = a*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**3 + 4*w**2 + 2281*w - 2282*w + 17 - 20 in the form g*w**2 + l*w**3 + i + o*w and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -46*f**3 + 4*f - 206. Let r(b) = 15*b**3 - b + 69. Let y(q) = 3*j(q) + 10*r(q). What is the first derivative of y(i) wrt i?\nAnswer: 36*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.67152671 to 4 decimal places.\nAnswer: 3.6715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-314 - 990 + 37 + 63)*(-3*c + 3*c + 2*c**2)*(0*c - 2*c + c).\nAnswer: 2408*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a29 (base 12) to base 13.\nAnswer: 15c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27308676.\nAnswer: 2, 3, 2275723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53736\/32 + -9 - 3\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/90 and 125\/24?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 3, 1, 2 in ascending order.\nAnswer: -19, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 6*d - 5. Let t = -5 - 1. Give o(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99737.3m in micrometers?\nAnswer: 99737300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16637 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**3 + 4*k**3 + 20*k**3)*((1 + 0 + 1)*(-2*k + 5*k - k) - k + 0*k + 6*k + (-3 - 3 + 5)*(-2*k + 0*k + 0*k)).\nAnswer: 341*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 95960, 375887, 842432, 1495595, 2335376?\n\"Answer: 93309*n**2 + 2651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.11344112 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -304.1 and 2.4.\nAnswer: -301.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*g - 62546 - 33286, -d + 3*g = -23951. Suppose 5*y - 6*y - d = 0. Let k = -479251\/20 - y. Find the common denominator of k and 67\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 54c + -15?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -31. Solve 5*s = -3*h + 24, 2*s + 4*h - x = h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -360 + 370. Let v(c) = c**2 - 13*c + 16. What is v(s)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*x - 5. Let h(b) = -6*b + x*b + 3 + 3*b. Let t(n) = n**3 + 12*n**2 + 404*n + 4844. Let l be t(-12). Give h(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 2451261*w.\nAnswer: w*(w + 2451261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4631092\/3*s**3 + 49\/3*s**5 - 10052*s**4 + 379456\/3*s + 884576*s**2 + 0 = 0. What is s?\nAnswer: -2\/7, 0, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 639 + 356 = 0. Let a = -297 + q. Let g = 140 + a. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51320 - 7*f**3 + 51320 - 5*f**2 to the form q*f**2 + y*f + r*f**3 + a and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i - 12. Let b be f(5). Suppose c = -b*c + 56. Suppose -2*r - c = -12. Is r greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 30*r**2 - r - 151. Let a(s) = 17*s**2 - 77. Determine -7*a(n) + 4*j(n).\nAnswer: n**2 - 4*n - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/5 - 48*l**2\/5 + 1034*l\/5 + 1224.\nAnswer: -2*(l - 17)*(l + 5)*(l + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 + -212?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -96. Let q be (-516)\/(-10) + v\/95. Let h = q - 36. What is the highest common factor of h and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 5, -4, 32, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 2. Let d(s) = -s + 3. Let q(f) = 6*a(f) + 4*d(f). Let p(w) = -4*w. Give q(p(b)).\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12315 (base 6) to base 3.\nAnswer: 2112102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, y: 3, l: 1, r: 1}. Give prob of picking 1 r, 2 v, and 1 y.\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288824 divided by 288824.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**4\/10 + 68*l**3\/15 + 5637. Suppose c(h) = 0. Calculate h.\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Let j = 3520 + -3524. Let i be (3\/18)\/(10\/(-8)). What is the closest to -1 in g, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.8 + 48.2. Let r = 222176 - 222114.9909. Let m = r - g. What is m rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 1718503?\nAnswer: 1718501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from {y: 1, w: 4, i: 2, v: 1, x: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/54 and 15\/46.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 3*k - 2*k. Let d(i) = 18*i**2 + 9. Let h(v) = 9*v**2 + 4. Suppose 3*n = 9, -w - n - 6 = -2*w. Let f(q) = w*h(q) - 4*d(q). What is g(f(o))?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2477, 9927, 22343, 39725, 62073?\nAnswer: 89387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 + 45110 - (-5 + 8)*5\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/60 and 107\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303 + -3232111?\nAnswer: -3231202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**(2\/25)))\/((t*t\/(t\/((t\/t**(16\/7))\/t)))\/t*t*t*t) assuming t is positive.\nAnswer: t**(-314\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -112010202 (base 3) to base 11\nAnswer: -7820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*s = 57*s - 1752. Let t = s + -829. Calculate the remainder when 139 is divided by t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2. Let a = 17 - 15. Let k be 1\/a*(-9 - -15). Let m(v) = 6*v**2 + 3*v. Let s(q) = -11*q**2 - 5*q. Let y(z) = k*s(z) + 5*m(z). Calculate x(y(c)).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.4 - -16.144. Round k to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-555)\/(-65) - (-12166)\/(-22594).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1503 divide 239253552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566447?\nAnswer: 7, 19, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 88. What are the prime factors of k?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**6\/21 + 2*d**5\/35 - d**4\/7 - 4*d**3\/21 + d**2\/7 + 2*d\/7 + 18. Factor t(q).\nAnswer: 2*(q - 1)**2*(q + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91374042.\nAnswer: 2, 3, 15229007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((2 - 1) + -2). Let o(f) = -5*f - 1. Let p be o(t). Let j be (-1 + 0)\/((-1)\/9). Solve -4*y = -p*m, 11 = -5*y - j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/192 and 18\/60*105\/(-216)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -58*t**2 + 2*t + 14. Let x(l) = -2*l + 24. Let u be x(7). Let v be y(u). Let a = -4834 + v. Round a to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 11*x**3 + x**3 + 2*x - x**3.\nAnswer: -11*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 1646040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5873 (base 9) to base 7\nAnswer: 15465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 537.4 + -537.12957. Let f = d + -0.27. Round f to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**2)\/z)\/(z*z**4)*((z\/z**(-1\/3))\/z)**(-21) assuming z is positive.\nAnswer: z**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42974277 = 206*f - 17422245. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, 1035, 2330, 4145, 6480, 9335, 12710?\nAnswer: 16605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 12:53 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16914 = -3*v + 4587. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10814*r - 377. List the prime factors of q(-4).\nAnswer: 3, 14293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93983, 93004, 92025, 91046, 90067?\nAnswer: 89088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r - 2*r + r + (3 + r - 3)*(1 - 2 + 3) - r + r + r + (3 - 5 + 1)*(-5285*r + 8571 - 8571))*(r - r + r) in the form i + o*r + q*r**2 and give q.\nAnswer: 5290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/475477 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 33*a**2 + 3*a + 106. Give p(-33).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-55)\/(-44))\/((-51)\/(-442))?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13672 - -13674. Let y(p) be the second derivative of -7*p - 4\/3*p**3 + 2\/5*p**6 + 0*p**i - p**4 + 0 + 1\/5*p**5 + 2\/21*p**7. Factor y(f).\nAnswer: 4*f*(f - 1)*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 16, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11707526 to three decimal places.\nAnswer: -0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3976200 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -18148481420 to the nearest 1000000.\nAnswer: -18148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 564*d**3*u - 4*d**2*u - d**2 - 744*d*u + 2*u wrt d?\nAnswer: 3384*d*u - 8*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285 = 104*k - 653 - 102 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.07 (c) 4\/5 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-16) - (-10)\/8. Let d(m) = m + r - 1 + 0*m. Let c(i) = 9*i**2 + 11*i + 11. Let g(u) = -5*u**2 - 6*u - 6. Let z(l) = 6*c(l) + 11*g(l). Give d(z(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 84 = -16*n, -3*b - 56 = 4*n - 60 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 99667, 99626, 99557, 99460, 99335, 99182, 99001?\n\"Answer: -14*p**2 + p + 99680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (9 - (-2 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*t**3 + t - 29*t**2 + 40*t**2 + t - t wrt t.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2192 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (-9 + 1))*1227747. Suppose a + 12233301 = 4*x. Suppose -5*c = -1143009 + x. Round c to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v + 45. Let z be c(4). Let d = z + 12. Solve 2*i + 2*i = 5*h + d, 5*i + 10 = -2*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 17.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 170*k**4 + 2*k**3 + 1917 wrt k?\nAnswer: 680*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (2 + 0 - 0)) + 2. Suppose -l*i + 30 = -46. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9286 is divided by 4640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**5\/10 - d**4\/3 - d**3\/3 + 2*d - 1. Let s(x) be the first derivative of w(x). Find z, given that s(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10246 + 34292. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 12*k + 5. Let u be 9 + (1 + 3)\/(-1). Suppose u*r - 7 - 13 = 0. Is s(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 5.986?\nAnswer: 13.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from {c: 1, p: 2, k: 1, y: 2, a: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 43, -941 in decreasing order.\nAnswer: 43, 0, -941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8745a (base 11) to base 6.\nAnswer: 2415534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 22943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 + 3*l - 6. Let p(m) = -6*m**2 - 5*m + 10. Let d(q) = 3*p(q) + 5*w(q). Let k(i) = 30*i**2. Determine d(k(a)).\nAnswer: -2700*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - a - j + 4, 3*a + j - 4 = 0. Solve a = i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or 1306\/67?\nAnswer: 1306\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/(u**(-6\/5)\/u))\/(u\/(u**(-7\/3)*u*u)*u*u*u\/((u**(1\/12)*u)\/u)) assuming u is positive.\nAnswer: u**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21224 divided by -5306?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -234 + 229. Is h*(-3 - (-20629)\/(-35)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (103564\/8)\/(-2*8\/(-32)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 - 505 + 505 + u**3 in the form a*u + g*u**2 + k + f*u**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*h - 2*b - 12, -3*h - 20 = -5*b. Suppose f - 3 = 2. Suppose -4*d + 8 = h, -d = f*k - 4*d - 29. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13944*y**2 - 3913*y + 3?\nAnswer: -27888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/1101570 and -1\/55.\nAnswer: 12117270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118 and 1215518.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3214.\nAnswer: 2, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 31 (b) 3\/659 (c) 1142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q. Let s(v) be the first derivative of 5*v**4\/24 - 9*v**2\/2 + 8. Let f(b) be the second derivative of s(b). Calculate g(f(z)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(5\/4)\/o*o)\/o)\/o)\/(o*o**(-12)\/o))**(-12)\/((o*o\/o**(6\/5))\/(o*o\/o**1)*o**(6\/7)\/(o*o\/(o*o**6*o))) assuming o is positive.\nAnswer: o**(-4958\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3319997*q**3*r**2 + q**3*r - 8*q**3 + q**2 + 61*q*r - 15 wrt r.\nAnswer: -6639994*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12687 less than -3?\nAnswer: 12684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4124, -8250, -12376, -16502?\n\"Answer: -4126*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45992112*c**3*x**3 + 4*c**3*x + 2*c**3 + 8800*c**2*x**2 + c*x**2 + 2 wrt x.\nAnswer: -275952672*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 104 + 24 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/2)*y)\/y)**(5\/7))**(-6\/11) assuming y is positive.\nAnswer: y**(15\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9285356 rounded to four dps?\nAnswer: -0.9285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*y**2 + 985*y + 650.\nAnswer: 5*(y + 65)*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -3, -18517, 845 in decreasing order.\nAnswer: 845, -3\/8, -3, -18517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2*25\/(-30))\/(-5))\/((-8)\/384).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 2 - 20 - ((3 - -3) + -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k**2 + 35*k + 5. Let a be q(-5). Find the second derivative of 33*p**a - 22 + 58*p**3 - 2*p - 112*p**3 + 54*p**3 + 3*p**2 wrt p.\nAnswer: 660*p**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -49. Suppose -g*v = -8*v + 6. Suppose -v*i = -i + 5*s - 161, 164 = 2*i + 2*s. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + ((-156)\/(-42) - -1). Which is the closest to r? (a) -4 (b) -0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 832 + 1072 = -3*f, -2*f = -2*y + 1272. Let q = 744 + f. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154508390 by 97.\nAnswer: -1592870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 95\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 16.5. Let s = 1.2 + -1. Let n be 8\/6 - 4\/(-6). Which is the second smallest value? (a) s (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 5 + 3)*(g + 4 - 4) - 2*g + 4*g - 3*g)*(0*g**2 - 2*g**2 + 3*g**2)*(20 + 8 + 0) to the form j*g**2 + m*g**3 + h + y*g and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/3, -98, -0.3, -134, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, -38, -69, -120, -197?\n\"Answer: -g**3 - g**2 - 7*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.901 - -392.099. Let d = w + -261. Let a = 130.66 - d. What is a rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wusuuuzzuukueuukuz. What is prob of sequence skw?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.8*-5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = -2. Solve 4*g + 15 = 5*p + g, v*p - 3*g = 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-five quarters of a week?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -3, -2, 68 in increasing order.\nAnswer: -3, -2, 3, 6, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 15. Let f be w(-10). Suppose -7*h + 12 = -3*h. Suppose i + 0 = -h. Sort i, f, 1 in decreasing order.\nAnswer: f, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2211 and 495?\nAnswer: 33165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 9. Calculate p(-24).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 25. Let f = -35 - s. Is f not equal to -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + (-495)\/36 + (-3)\/(-4). Let h = m + 21. What is the second derivative of -30*f**h + 6*f + 72*f**2 - 39*f**2 wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 36*l**3 - 3*l**2 + 11*l. Let v(k) = 18*k**3 - k**2 + 6*k. Let d(q) = -6*i(q) + 11*v(q). Find the third derivative of d(j) wrt j.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 40 = 9*h. Suppose 0 = -0*x - 2*x + 2*u - h, 4*x + 35 = -u. Is 4\/(-12) - 111\/x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (-41 - -26)) + -5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/17, -8.9, -1\/31, 0.1, 0.2, -0.01?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 51. Find the third derivative of -4*a**2 + 7*a**5 + 18*a**l - 32*a**2 wrt a.\nAnswer: 420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -1\/6*h**3 + 3\/2*h**2 - 12*h - 1\/4*h**4 + 0. Let f(t) = 3*t**2 + t - 4. What is -4*b(u) - 3*f(u)?\nAnswer: 3*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -4, 3, 35\/46?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {a: 7, j: 12}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 205 and 100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 3:20 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -0.7?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((4 - 7) + 2)\/(90\/(-137901)). Let f = z - 4579\/3. Calculate the common denominator of 113\/24 and f.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8679 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -491939, -983876, -1475813, -1967750, -2459687?\n\"Answer: -491937*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, c: 2}. What is prob of sequence sss?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*j + 24*j + 23*j + 16*j + 2968 for j.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 64*j + 295. Let h(k) = k - 14. What is a(h(x))?\nAnswer: 64*x - 601","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 1 + (-16 - -18) - -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2325 - -3675. What is the greatest common divisor of b and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r - 3*r - 4*r + (1 + 1 + 1)*(-8*r + 10*r - 10*r) - 9 - 2*r + 0*r + r to c*r + q and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 169487 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -2\/7 (b) 10.4 (c) -2 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 29*h - 479. Let c be l(17). Solve c = 30*w - 28*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**7\/630 + 5*g**4\/12 + 3*g. Let p(h) be the third derivative of v(h). Let r(x) = 2*x**2. Determine p(r(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.9 - -1.3. Let f = p - -2. Suppose -z + 6*z + c = 6, -1 = -2*z + c. What is the nearest to z in 3, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 798\/(-49)*18858\/8082\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 500 - -14?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 2*j - 6, -3*j + 9 = 3*g - 0*j. Suppose -2*i - i + 24 = 0. Solve 5*u + i + 2 = g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2738*a - 3060*a + 6402*a + 1 in the form t*a + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(34) - (sqrt(2176) - sqrt(2176)*-2) - (sqrt(2754)*2 - sqrt(2754))))\/((sqrt(1600) + sqrt(16))\/sqrt(8) + (sqrt(98)*5 + sqrt(98) - sqrt(98))).\nAnswer: 96*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -47, -1.5.\nAnswer: -47, -1.5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 27*d**3 + 403*d**2 - 13*d + 10126. Let z(h) = 7*h**3 + 93*h**2 - 3*h + 2532. Let g(n) = 6*c(n) - 26*z(n). What is the first derivative of g(k) wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89720 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z + 1. Let t be -2 - 7\/((-7)\/(-2)). Let f be k(t). Let x = -19 + f. Calculate the lowest common multiple of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22615125.8 from 13233.\nAnswer: 22628358.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 14 - 12*j + 9*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 6. Let n be (-2)\/((-4)\/(-2)) - -3. Solve -n = -3*f + b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9674.2 and -24909.22.\nAnswer: -34583.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -1ef?\nAnswer: -1ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 5*g + 6. Let f be s(-6). Let u be (-70)\/f - (-2)\/(-12). Let h(n) = -n - 8. Let z be h(u). Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 2. Let j = i + -3. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 789 and 3.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = 0, 2*k + 3*x = x + 200. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*x**4 - 4527*x**3 - 3157*x**2 + x - 1?\nAnswer: 72*x - 27162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.6*1209738.\nAnswer: -9194008.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**7\/105 + 47*r**6\/120 - 107*r**5\/60 + 7*r**4\/4 + 7675*r**2. Factor o(j).\nAnswer: -j*(j - 21)*(j - 2)*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/80 - (-10008)\/(-64). Does 9 divide ((-243)\/(-18))\/((-3)\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6502 = 10*t - 2188. List the prime factors of t.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -2*1)*5\/15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 7*x + 4. Let f(n) = 4*n - 53. Let y be f(12). Determine u(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*b - 105, 5*b - 76 = -c + 19. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(108) + sqrt(108) + 1 - -3*(2 + sqrt(108)) - ((sqrt(108) - (sqrt(108) + -5*sqrt(108)))*-4 - 3*(4*sqrt(108) - sqrt(108))))**2.\nAnswer: 2040*sqrt(3) + 124873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.2, 6, 1\/714, -2\/19, 0.07?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, o: 4, i: 2}. Give prob of picking 2 x.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -368*l**3 + 4399*l wrt l?\nAnswer: -2208*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p + p - p)*(-2*p + p - p)*(0 - 2 + 0).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10554031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 18. Let o(p) be the third derivative of -5*p**4\/24 - 5*p**2 - 12*p. Calculate o(k(d)).\nAnswer: 10*d - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1326 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y + 2*j + 82 = -36*y + 105, -j + 409 = -131*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -0.33 (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*i = -2*i + 5, -5*f - 5 = -5*i. Let s(m) = m**3 - 6*m**2 + f - 12 - 6*m**2 + 12*m. Calculate the smallest common multiple of 5 and s(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -477*u**2 + 3\/2*u**3 + 951\/2*u + 0 = 0.\nAnswer: 0, 1, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {h: 4, o: 6, l: 1, a: 1, v: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 9. Let h be v(-14). Let z = h + 17\/3. Which is the third smallest value? (a) -0.5 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-6)\/(-33) + 4274772\/627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3904, -6027, -8164, -10321, -12504, -14719, -16972, -19269?\nAnswer: -21616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/1083 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 2)*(-2*a - 4*a + 4*a)*(-51*a**2 - 573329 + 286662 + 286675 + 2*a**3) + 3 - 3 + 2*a**4 as u*a**3 + p + g*a + y*a**4 + h*a**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 3*k + 38, -27902*j + 27898*j = -2*k + 44 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 q when three letters picked without replacement from {x: 4, f: 2, q: 2, o: 2, t: 1, u: 9}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6))**(2\/141)\/(q**(-7\/2)\/(q*(q*q\/(q\/((q**10*q)\/q)))\/q*q)) assuming q is positive.\nAnswer: q**(1449\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 6:58 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + h + 5 = -4, -24 = -2*z - 4*h. Suppose 0*y - m + z = -4*y, -10 = -5*m. Let n(x) be the third derivative of x**5\/5 + x**3\/6 + x**2. Give n(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 w, and 1 s when three letters picked without replacement from swywsbwwswfwk?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4356\/7 - -622. Which is the closest to 0? (a) 0 (b) 0.07 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzfuuufufffuuuzuuuzz. What is prob of picking 3 z?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (270*o**2 - 88*o**3 - 270*o**2)*(4*o**2 - 3*o**2 - 3*o**2 + 2).\nAnswer: 176*o**5 - 176*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 1, r: 7, o: 4, i: 2}. Give prob of picking 2 o.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 6*h**2 - 5*h - 6. Let q be c(-5). Let z be q\/(-28)*(-7)\/(-2). What is the third smallest value in -0.4, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {e: 2, w: 7, n: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -140, -0.5, -15, 1\/62, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1656 or -1579?\nAnswer: -1656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245721814 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by 3\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: cd061 (base 16) to base 2\nAnswer: 11001101000001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2616*j**4 + 2*j**2 + 2142.\nAnswer: 10464*j**3 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31, -55, -63, -49, -7, 69?\n\"Answer: p**3 + 2*p**2 - 37*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/4 - 10*x**3\/3 + 11*x**2\/2 + 13*x - 5. What is the remainder when z(-11) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 31*y + 305. Let m be v(-11). Let t be 1053\/6*m\/(-27). What is the highest common divisor of 39 and t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 40845.64 millennia?\nAnswer: 4084564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 1)\/(9\/2313). Suppose 5*f + 80 = 4*w + c, -w = -3*f + 109. Suppose -4*j + 35 + f = 0. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2589.259276 to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**5 - 82*y**4 - 951977*y**3 - 121937855*y**2 wrt y?\nAnswer: -120*y**2 - 1968*y - 5711862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35 and 815?\nAnswer: -28525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/26 - (-25)\/(-311 + -14). Which is the fourth smallest value? (a) g (b) -2\/17 (c) 0.4 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -53*u. Let r(w) = 266*w - 1. Let o be 10620\/6195 + (0 - (-4)\/14). Give o*r(v) + 11*n(v).\nAnswer: -51*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3886*i**3 + 24*i + 17?\nAnswer: -23316*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 828?\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6749747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35709823 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54746904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + -10 + 1 + (39 - 22).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51.85 - -52. Let a = -2.15 + g. Let z = 25.4 - 25. What is the smallest value in -4, z, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*w**2 + 180*w**2 - 103*w**2 - 446*w to the form l*w + i*w**2 + t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5 or -0.1031?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -1, 3\/266, -68, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*w = 160, -3*w + 2*w + 65 = m. Suppose o - 25 + 1 = 0. What is the greatest common divisor of m and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15700 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 1. Let h(t) = -37*t + 4. Let q(y) = 6*d(y) + h(y). Let g(m) = -124*m + 42. Let v(u) = -2*g(u) + 9*q(u). Find the first derivative of v(b) wrt b.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36165 by 5.\nAnswer: 7233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 10 = 5*w. Suppose -o = -2*v - 131, -2*o = -w*v - 158 - 108. What is the remainder when o is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(8\/((-152)\/(-133)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 x when three letters picked without replacement from yxxyoyxxxoxx.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1116195796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:30 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 divided by -3280.\nAnswer: -19\/656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -2c85?\nAnswer: 2c90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 12 = -4. List the prime factors of (h\/(-6))\/(32\/3312).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 518, -4, 9578, -1 in descending order.\nAnswer: 9578, 518, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m + 40*m + 54 = 3*w, 0 = 5*w + m - 74. Calculate the greatest common divisor of 2758 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21.1 and -13.4784623?\nAnswer: 7.6215377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1018.8 - 839. What is g rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-5) - (-138)\/230 - 12\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/(51\/936)*-1. Let q = k + -223. What is the remainder when q is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/2))**(-2\/111))**(-2\/15))**(-26) assuming b is positive.\nAnswer: b**(-52\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-11) + 1944\/(-1188). Which is the nearest to 1\/3? (a) -0.3 (b) 242.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by (26\/39)\/((-4)\/6)*-22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**5\/10 - 2*v**4\/3 - 16*v. Determine p, given that x(p) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4570720 - -1?\nAnswer: 4570721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, w: 6}. Give prob of picking 4 u.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/12 - 45\/(-12). Suppose -2*h = p, -5*b - 3*h + 1004 = -0*h. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 0*k + 4*g = -7, -3 = k + g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p**(-2\/47)*p)\/p)\/p*p))\/(p*p*p*p**10*p*p))\/((p\/(p\/(p*p**20*p*p)))\/(p*p*p\/(p**(-2\/63)\/p*p)*p)) assuming p is positive.\nAnswer: p**(-97493\/2961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/1*(-7)\/35. Let o be (-11)\/15 + 36\/90. Which is the closest to o? (a) 5 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**3 + 31. Let h(j) = 4*j. Give u(h(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = 42*m + 129*m - 648 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3153, 6300, 9447, 12594?\n\"Answer: 3147*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*o**4 - 3*o - 155*o**4 + 2*o + 3*o + 1 to the form u*o**4 + b + w*o**2 + d*o + q*o**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (809 - 809 + 3*z)*(-2 - 1 + 5 + (-1 + 0 - 1)*(-1 + 2 - 3)) to p + t*z and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*(3 - -3)\/(-6). Differentiate -l*f + 38*f + 15*f**2 + 192 - 13*f**2 + 18*f with respect to f.\nAnswer: 4*f + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1965 - 223. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.02? (a) 83 (b) 1\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 6:35 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 2*x + 5, x = 15340*a - 15343*a - 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7777, 7776, 7775, 7774?\nAnswer: 7773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1032302 (base 4) to base 7\nAnswer: -20462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21567 and 126.\nAnswer: 129402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 18 = 2*w, 2*w - 56*z + 6 = -53*z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - -19. Suppose a - 2*x - 13 = 0, 8*a - 4*x = 3*a + p. Solve -7 = a*o + 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/(-72)*4\/14. Let c(h) be the third derivative of -3*h**2 + 1\/120*h**6 + 0*h - s*h**4 + 1\/12*h**5 - 1\/2*h**3 + 0. Give c(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69761515399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2\/125 of a millimeter?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - 32) + (-2 + -1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/160 and (-3654)\/108*5\/(-84)?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18796937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000140495 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/353871 and -99\/4.\nAnswer: 1415484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 393, 739, 1229, 1935, 2929, 4283, 6069?\nAnswer: 8359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, j: 3, v: 1, w: 3, t: 2, g: 1}. What is prob of sequence vzw?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p - 5*h - 32332, 8083 = p + 4*h. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -a + 1, -3*a - 9*i = -10*i - 3. Sort a, -140, -3, -2 in decreasing order.\nAnswer: a, -2, -3, -140","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 43 - 120 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 2:25 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - s + 8 - 16. Let z be k(-6). Let f = 42 - 42. Which is the smallest value? (a) z (b) f (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -6. Let p(a) = 5 + 2*a - y - 3*a + 2*a. Determine p(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1640\/((3\/(-750))\/(-1)). What is q rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 9 = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107163719.\nAnswer: 13, 8243363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2*((-3)\/(-42))\/1)\/(6\/7)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 184*o*v**3 + 587*o wrt v.\nAnswer: 552*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 10*f - 1. Let y = 15 + -8. Let s be u(y). Suppose 0 = -2*i + 3*i - s. Calculate the lowest common multiple of 6 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10010417916 to six dps.\nAnswer: 0.100104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -11293 less than or equal to -11296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1442 - -30?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h = 10. Suppose 0 = -h*v + v + 16. Suppose -5*p + 4*f - 8 = -58, -2*f = -p + v. What is the greatest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (108\/18)\/(10*1)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - 11*a. Let c be q(-12). Round c to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(2) + sqrt(6)\/sqrt(3) - sqrt(2))*1)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 51*q**3 + 9*q**2 + 16*q + 97. Let g(n) = 54*n**3 + 10*n**2 + 18*n + 98. Give 9*c(u) - 8*g(u).\nAnswer: 27*u**3 + u**2 + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.79 and 1362885.14.\nAnswer: 1362885.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23993250 and 1500?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.0229, 7 in decreasing order.\nAnswer: 7, -0.0229, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 25*p + 277. Give s(-9).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuyavyuvvvvyuv. What is prob of picking 4 u?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 634*t + 1266. Let s be z(-2). Let x(f) be the third derivative of f**4\/8 + 5*f**3\/3 - 4*f**2. Calculate x(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 412*z**4 - 62797*z**3 - 2*z**5 + 12237*z**3 + 426*z**4 - 200*z**4 - 51200*z**2.\nAnswer: -2*z**2*(z - 160)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 106, 128, 156?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0)*(-12)\/48*-28.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - 21*h**2 - 20*h + 33. What is r(11)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -438b?\nAnswer: -4390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 11. Let w(r) = -633*r + 2. What is w(p(x))?\nAnswer: 1266*x**2 - 6961","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 5*c**4\/4 - c**3 - 7*c. Factor f(t).\nAnswer: 3*t*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67645145 is divided by 236?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 + 16 = -4*m. Let a = m + 31. What is the remainder when 10 is divided by a\/(-8) + 2\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4676526827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysy when three letters picked without replacement from fqqsfxfqrsryxfy.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 7275 = -5*a, 4*a - 3840 = -3*z + 497. Let u = 4410 - z. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 11*n**5\/30 - 5*n**4\/3 - n**3\/3 - 46*n**2. What is the tens digit of u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(55) + sqrt(7920)*2)\/(sqrt(800)\/sqrt(10)) + 4)**2.\nAnswer: 75*sqrt(11)\/2 + 7019\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099300 rounded to the nearest ten thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*x + 8, 64*x - h = 65*x - 1. Solve x = -12*g + 15*g - 4*j, -3*j = -3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2772\/(-2376)*(2032\/14)\/(-2). Which is smaller: 85 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/49, 1\/2, -3 in descending order.\nAnswer: 1\/2, -1\/49, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**5\/2 + 6051*n**4\/2 + 374763*n**3\/2 - 417159*n**2\/2 - 1142505*n = 0. Calculate n.\nAnswer: -1953, -65, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 1 - 7. Let l be 10103\/(-43) + (0 - v). Let b = 238 + l. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 - -99 - (-3 - -16) - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 2, 54, -3 in ascending order.\nAnswer: -6, -5, -3, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - (36 - 46)) + 62 + 63.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24681\/18 + 5 - (-1)\/(-6) - -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3759, 3756, 3751, 3744, 3735, 3724, 3711?\nAnswer: 3696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z + 46070 = -11*z. Let s = z + 2315. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c - 1. Let s(h) = -h**2 + 1. Let i(y) = -j(y) - s(y). What is the second derivative of i(l) wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106812487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5446844 and 242572?\nAnswer: 59915284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -291.38263723.\nAnswer: 289.38263723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 36007498.\nAnswer: 36007498.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 118848319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -750, -5, -15, -1 in descending order.\nAnswer: 5, -1, -5, -15, -750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6851934.\nAnswer: 2, 3, 191, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -17*y**3 + 126*y**2 + 3*y - 16. Calculate c(9).\nAnswer: -2176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -0.9889.\nAnswer: 11.8668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence voh when three letters picked without replacement from {v: 7, o: 1, h: 6}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t - 26*t + 11*t - 12 + 6*t - 6.\nAnswer: t - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 7*n + 8*n - 1 = 0, -3 = -y - 3*n. Factor 3 + y - 15 - 3*k**5 - 21*k**4 + 6*k**2 + 3 - 72*k**2 - 39*k - 54*k**3.\nAnswer: -3*(k + 1)**4*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 13 = -2*u + 5*g, -g = 3*u + 10. What is the remainder when 34 is divided by (-110)\/(-4)*(-4)\/u + -4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 924, 1644, 2364?\nAnswer: 3084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -272 - -2179\/8. Which is the second biggest value? (a) -4 (b) 2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (770\/220*(-58)\/28)\/(12\/48)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 23. Let o(w) = -w**2 + 12*w + 16. Let v be o(t). Suppose 0 = 2*x + v*u - 0*u - 17, 23 = 5*x + u. Solve 3*k - 5 = -x*p, 4*k + 25 = -p + 2*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7245*k**4 + k**2 - k - 39039 wrt k?\nAnswer: 28980*k**3 + 2*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*j + 44 = 0, -2*m + 0*m + 5*j + 22 = 0. What is the highest common factor of 2 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 32?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9.22467, -5, -2\/1365?\nAnswer: -2\/1365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from kdtpfdb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4 - 64 = 0. Solve -5*m = l + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44\/176*(0 + 0)\/(-2). Suppose n = -0*i + 5*i + 76, r = n + i - 94. What is the remainder when n is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*w + 38 = 7, 3*q + w = 23. Let g(u) = -19*u + 2. Let c(m) = 28*m - 3. Let t(v) = q*g(v) + 5*c(v). Give t(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j + 235 = 5*v, -5*v = j - 247. Let t be (-40)\/v - (-186)\/(-5). What is t rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 2, -149, -2\/7, -6, 14\/39 in ascending order.\nAnswer: -149, -6, -3\/4, -2\/7, 14\/39, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237369?\nAnswer: 3, 11, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 8*n - 11*n + 34, -3*j - n + 28 = 0. Solve j*p = 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dbb + -1?\nAnswer: dba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - 162 = -2*d, 4*z = -8. Let w = 164 + -119. What is the remainder when d is divided by w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -46, 2\/3, 2, -0.2, 10\/11 in ascending order.\nAnswer: -46, -0.2, 2\/3, 10\/11, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45337808 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-12)\/c*c*c*c**(-4) assuming c is positive.\nAnswer: c**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v - h + 9 = 0, 4*v + 5*h = 7. Let n(s) be the first derivative of s**3\/3 + 3*s**2\/2 + 3*s - 134. What is n(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 2. Let m be w(-2). Let c be (-562)\/(-2) + 5\/(-5). Let k be (-2)\/(-8) + 10\/c. Is k <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -65*r**3 + 4560*r**2 - 17860*r + 2640 = 0.\nAnswer: 2\/13, 4, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4748, -4720, -4696, -4676, -4660?\nAnswer: -4648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 212941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 1382268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -24*a + 2. Let r be m(-3). Suppose -k + r = k. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17175 times 5\nAnswer: 85875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1287 and 65439.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2 - 1 - 2*w**2 + 0*w)*(3*w**2 + 6*w**2 + w**2).\nAnswer: -20*w**4 + 20*w**3 - 30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 304331330 (base 5) in base 6?\nAnswer: 42411440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/3 - 2*h - 877. Let t(c) = -2049*c**2. Calculate b(t(u)).\nAnswer: 16793604*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 2*b**3 - 9*b**5 + 3*b**5 + 4*b**5.\nAnswer: -2*b**3*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 0 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/(-5))\/((-2)\/(-5) - 1). What is the third derivative of -4*j**2 - 9*j**2 + 4*j**5 - r*j**2 + 17*j**5 wrt j?\nAnswer: 1260*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477879297.\nAnswer: 3, 7, 22756157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 303098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.29? (a) 2 (b) 3\/7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f, -17*f - 459 = -5*s - 22*f + 436. Which is smaller: 180 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630 = -2*b - 5*b. Let l = b - -152. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-8 + 0 + 3). Let o be 144\/216*(-7 - -1). Which is the biggest value? (a) i (b) 48 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.49 + 1.6. Let d = v - 4.11. Which is the biggest value? (a) 4 (b) d (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y + 22*y - 110*y = -2140 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/3 + 1*22. Suppose 7*p - 2*p = -a. Let g(r) = r + 5. Let t be g(p). Is 1\/6 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1456*i = -1455*i - 9. Solve 4*m + 8 = z - i, -m = -4*z + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1258 - -1278. Solve 5*f = -3*j - 12, -11*f - a = -16*f + 5*j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -412, -1145, -2352, -4189, -6812, -10377?\nAnswer: -15040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 40 = 3*l. What is the smallest common multiple of l and ((-21)\/(-6))\/((-5)\/(-20))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 128*f**3 + 4 - 2 + 7 + 3*f**2 + 4*f - 4. Let g = -2 + 7. Let b be o(g). What is b rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -29, -73, -167, -329, -577, -929?\nAnswer: -1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + 2*sqrt(2736) + 0)**2.\nAnswer: -96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)*2)\/sqrt(11) - -4*sqrt(4)\/sqrt(2))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**3 + 6*u**2 + 8*u - 3. Let d(i) = 20*i**3 + 17*i**2 + 23*i - 9. Let s(y) = y**2 - 6*y - 6. Let h be s(0). Calculate h*d(j) + 17*c(j).\nAnswer: -j**3 - 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1262 - 252?\nAnswer: -1544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(228)*-5 - ((sqrt(228) - sqrt(228)*5) + sqrt(228) - sqrt(228))*5)\/(sqrt(12) - sqrt(192)*1 - (sqrt(588) - -5*sqrt(588))).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 149575 (base 10) to base 7\nAnswer: 1162036","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2. Solve -4*a + d = -19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 57. Let f = i + 36. Find h such that -2\/7*h**2 - 2\/7*h**f + 2\/7 + 2\/7*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d = 3*r - 29, -4*d + 5*r = -25. Let i = 7 + -8.7. Let f = 2 + i. Put d, f, 1\/8 in decreasing order.\nAnswer: d, f, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from araaaarrrrrr. What is prob of picking 2 a and 2 r?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117231, 234462, 351693, 468924?\nAnswer: 586155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 - 11*h + 18. Let d(g) = g - 7. Let x be d(13). Suppose 0 = n - 2*u - x - 9, 5*u = 2*n - 34. Does 3 divide r(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/n*n*n**(-2)*n)**5*(n**(-2\/3))**(2\/55)*(n\/(n\/(n\/n**1)))**(-26\/3) assuming n is positive.\nAnswer: n**(-2479\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -7?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, l: 7}. What is prob of picking 1 l and 2 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -19. Suppose -i*m + 31 = -56. What is the remainder when m is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*d = 449 - 29 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + -4 - (2 - 3). Suppose f = 5*l - 4*h + 22, -4*h = 0. Let i be ((-11)\/(-3))\/(l\/12). Put 2, i, -3 in descending order.\nAnswer: 2, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4949305, 9898467, 14847629, 19796791, 24745953, 29695115?\nAnswer: 34644277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*x**3 - 2406*x**2 - 10311*x - 8820 = 0. What is x?\nAnswer: -7, -60\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6773 (base 14) to base 11\nAnswer: -12527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 26 - 26 + (1 + 2 - 2)*(-12*k + 25*k + 16*k))*(-k**3 - 5*k**3 + 4*k**3).\nAnswer: -66*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*s = 857 + 831 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29572533.\nAnswer: 3, 331, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -284131.3901\nAnswer: 284125.3901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.7 + 5. Let q = 879 - 879.5. Which is the third smallest value? (a) q (b) 16 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + t**2 - 3. Let d be m(-2). Let n be (-72710)\/(-60)*d\/(-7). Let i = 1565 + n. Calculate the common denominator of i and -13\/76.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, 13, 4 in descending order.\nAnswer: 13, 6, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -9 (c) 3\/7 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -908 divided by 5\nAnswer: -908\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 28 = -4*t, 3*t - 48 = -5*z + 6*t. Let m = -198 + 193. What is the remainder when ((-6)\/m)\/(-3*5\/(-400)) is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r = 32*r - 10. Solve -3*g - r*i + 8 = -3*i, 3*g - 5*i - 28 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206115 (base 7) in base 4?\nAnswer: 20232111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -172 - -30?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*z = 1. Let k(q) = q**2 + q - 10*q + z + 11. Let h be k(8). Which is the biggest value? (a) -1 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*a + 1 + 127 = 0, 2*a + 2 = 0. Calculate the common denominator of 59\/54 and 10\/w + (-6)\/(936\/1610).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -28\/3*t**3 + 26\/3*t**2 - 14\/3*t**4 + 8\/3 + 40\/3*t + 8\/3*t**5 = 0.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**2\/4 + 1703481*m\/2 - 967282505787\/4 = 0.\nAnswer: 567827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(108)\/sqrt(4) + sqrt(27) - ((sqrt(6)\/sqrt(2) + -5)**2 + ((sqrt(15)\/(sqrt(20)\/sqrt(4)))**2 - sqrt(3) - sqrt(3) - sqrt(3))).\nAnswer: -36 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggngggggggngggg. Give prob of sequence gn.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*n + 25*n**2 + 76*n - 5*n**2 - 11*n**2 - 11*n**2.\nAnswer: -2*n**2 - 16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 3*l. Suppose w + w - 4 = l. Suppose 0 = 4*a - 5*n - 23, 3*a + w*n + 0*n = 46. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -46, -3, 2989, 2, 3, 8 in descending order.\nAnswer: 2989, 8, 3, 2, 0, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 168 = -4*p, 606 = -3*t + 3*p + 474 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**2 + 286*s - 3818. Determine r(36).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from {r: 4, h: 1, q: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 3*o + 0*o)*(32*o**3 - 41*o**3 - 27*o**3).\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 3. Let o be y(-5). Suppose 3*n + 51 = o*b, 0*b - 4*b + n = -107. Calculate the remainder when b is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 3)*116\/5684?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m. Let r be a(2). Suppose 0 = -r*n - 1 - 1. Let b be 3\/6 + 2\/(-4). Sort b, -2, n in decreasing order.\nAnswer: b, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, f: 7}. Give prob of picking 4 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 473 + -488.95. Let l = a + 1.05. What is l rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (1\/3)\/(-3 - 22 - 30588\/(-1224)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**5\/40 - j**3\/3 - 15*j**2\/2 + 57*j. Let f(x) be the second derivative of w(x). Let n(p) = 3*p**2. Give n(f(b)).\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.847 - -0.153. Let y = -18 + 10. Let m = y - -5. What is the smallest value in -2\/13, d, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 + 7*s**2 - 207*s - 1167. Give m(-5).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k*k**(-2\/11))**(-22\/9)\/(k**4\/(k*k**(-1\/4)*k*k))**(-17) assuming k is positive.\nAnswer: k**(517\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 9*x**2 - 28*x - 22. Calculate the remainder when l(-11) is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4 + 2*z**3 + 0*z**2 + 5*z**2 - 3*z - 3*z**3. Let s be c(4). Let l = -1 - -1. Solve 0 = -4*g - l*g - s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531 is divided by 522?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 53658?\nAnswer: 53658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-10) + 232\/40. Suppose 3*c - 6 = w. Suppose 0 = -4*j + 3*t + 15, -j + c*t - 5 = -4*j. Solve 0 = l + j*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 - 13*v**2\/4 + 161*v\/4 - 147\/4.\nAnswer: -(v - 7)*(v - 1)*(v + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-10)*426\/24 and (-2)\/(-4) - (-99)\/48.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1174 = -65*t + 1759 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25233 (base 6) to base 16.\nAnswer: -eb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*o**3*q - o**3 - o*q + 7*q + 12 wrt o.\nAnswer: -9*o**2*q - 3*o**2 - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2271*w**4\/4 - 3*w**3\/2.\nAnswer: 3*w**3*(757*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k*m**3*u**2 + 7*k*m**2*u**2 - k*u**2*z + 8*k*u**2 + 72*m**3*u**2 + 2*m**3*u*z - 6*m**2*u**2*z wrt m.\nAnswer: -6*k*u**2 + 432*u**2 + 12*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/3)\/(20\/30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298271.4l in millilitres?\nAnswer: 298271400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/277823 or 1?\nAnswer: -22\/277823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**4\/12 - 5*o**3\/3 - o**2. Let s be n(-11). Let b = s + 48. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10189798 is divided by 510.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*a + 8 = 4*x, 0 = -4*a - 5*x + 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1764043, 1764001, 1763959, 1763917?\nAnswer: 1763875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-297)*(-18)\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*m + 1034 = -913, -5*m + 7838 = -4*r. Let f = -1169 - r. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2. Let m(g) = -6*g - 8*g + 3*g - 26*g. What is u(m(d))?\nAnswer: 2738*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 - 2. Let s = 3.9 + k. Which is greater: -2\/9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**(-47)*p)*p\/p**(3\/13)*p*p\/p**28*p*p**14*p assuming p is positive.\nAnswer: p**(491\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**3 + 10231440*w**2 + 20462883*w + 10231442 = 0.\nAnswer: -1, 10231442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.2 (b) -0.1 (c) 2 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 j when three letters picked without replacement from jjkyykkk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 9. Let t be x(5). Solve 3*s + 2 = t*n, 4*n = 7*n + 5*s + 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/70 + (-1)\/(-1*4)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25743 = -687*c - 593*c + 143503 for c.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - g + 1. Let o be u(1). Let b be (-1)\/(3 + o) - -2. Is 4\/(-2) + b*91 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3\/4 (b) -1643 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18568*o**2 - 37145*o**2 + 32*o + 4*o**3 - 32*o + 18577*o**2.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -1) + 10 + -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * -182.4.\nAnswer: 4377.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4106237?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 997 or 972?\nAnswer: 997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-6) - 2\/(-4). Let c = 30 - 30. Is c less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -5*t**6\/8 + 19*t**5\/12 - 10*t**3\/3 + 11*t**2 - 2*t + 3. Let j(l) be the first derivative of y(l). Factor j(p).\nAnswer: -5*(p - 1)*(3*p - 2)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a + 1. Suppose 0*s - 46 = -4*l + 5*s, -4*l = -2*s - 40. Let m(q) = -q. Let k = -32 + 22. Let w = k - -12. Give l*m(c) + w*u(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -202822536, -405645072, -608467608, -811290144, -1014112680, -1216935216?\n\"Answer: -202822536*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-390)\/(-2145)*(-2)\/2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -3. Solve -4*n - 12 = -w*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -134*s*v**3 - 10*s*v - 7*s - 2*v**4 wrt v?\nAnswer: -804*s*v - 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.79452 tonnes in nanograms?\nAnswer: 57794520000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, w: 1, v: 4, j: 6}. What is prob of picking 3 v and 1 j?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -414, -413, -402, -375, -326?\n\"Answer: k**3 - k**2 - 3*k - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3082013 is divided by 3605.\nAnswer: 3343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**1)**(4\/3) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 326260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*f**4 + 82*f**3 - 274*f**2 + 156*f.\nAnswer: 2*f*(f - 2)*(f + 13)*(4*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1739 and 3995.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4*n = 28, -5*i - 5*n - 31 = -4*n for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -336 - -359. Solve o = -4*m + 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16a - -1256?\nAnswer: 10a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138210 and 30?\nAnswer: 138210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f - 656 = 651 - 253 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 5*f)*(f**4 - f**4 - 2*f**4) - f**5 + 8*f**3 - 8*f**3 + (2*f**3 + f**3 - 2*f**3)*(10*f - 30*f**2 - 10*f).\nAnswer: -41*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**3 + 23*u**2 + 140*u = 0?\nAnswer: -5, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4. Let n(r) = -r + 5. Let c(d) = 4*n(d) + 6*q(d). Let x be c(4). Find the common denominator of -97\/8 and ((-237)\/(-9))\/(x\/(-6)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, z: 2, r: 4, a: 1, l: 2}. Give prob of sequence rarr.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3495600 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2 + 7816*d - 15574*d + 7792*d. Let t(q) = -13*q**2. Determine s(t(v)).\nAnswer: -442*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2735\/2 or -2\/11?\nAnswer: -2735\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 34. Let p be (-24)\/(-9)*o\/(-8). Let a(f) = -2*f + 8. Calculate the least common multiple of a(p) and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1\/8, -2530246, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**4 - 18*x**2 + 18*x**2)*(-3*x - 2*x + 3*x) - 3*x**5 - x**4 + 2*x**4 - 2*x**4.\nAnswer: -15*x**5 - x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - (2 + -1)\/1. Solve -11*g = -a*g + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-4 + 10 - 2). Suppose 5*k - 148 = -2*s, g = -3*s + 5*s. Solve 7*w - 3*w - 4*u = k, -5*w + 4*u + 31 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y. Let j(m) = -4*m**2 + 7*m + 10. Let z(q) = q**2 - 2*q - 3. Let u(w) = -2*j(w) - 7*z(w). Calculate the remainder when 2 is divided by u(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a kilometer in meters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8328 <= -0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4\/7)\/((-7)\/35*-10)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 45 = 7*t. Is (t\/9)\/((-1)\/(-36)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 0*p**2 + 8 - 3*p**2 + 8*p**2. Let w(m) be the second derivative of -7*m**4\/6 - 23*m**2\/2 + 314*m. What is -17*v(i) - 6*w(i)?\nAnswer: -i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 43513 take away -3?\nAnswer: 43516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 15*z**2 + z - 9. Let k be v(15). Let g = k + -2. Solve 0 = g*x - 2 - 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 + -20180.24501\nAnswer: -20180.22501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(9\/8)\/b**(3\/8) assuming b is positive.\nAnswer: b**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 36. Let z(i) = -1. Give q(n) - 4*z(n).\nAnswer: -n - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 15, -2*j + 5*p + 75 = -34. Suppose 5*x - 30 - 40 = -5*b, 3*x = 3*b - 54. What is the remainder when j is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 656 + -633. Solve 0 = 4*t + 39 - c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*u = -112*u + 4*q + 8, q + 21 = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261178280 divided by 8.\nAnswer: -32647285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.1528 times 0.4?\nAnswer: 10.46112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 divided by -20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 5:14 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -8. Let t be -6*(n\/12)\/(-1). Let r = t + 59. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.07 + 15.93. Let o = c + -15.85. Let x = -0.15 + o. Is 0 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**2*q**2 + 678*d**2*q - 17323*d**2 + d wrt q.\nAnswer: -6*d**2*q + 678*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252 + -22511120?\nAnswer: -22510424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 11 = -s - 3*x, 4*s + 5*x = -17. Solve -2*q = s*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25.5 + 34. Let z = b + 13.1. Let c = -22 + z. What is the nearest to 0 in -1\/5, c, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 119897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 2187?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -244*w**3 - 485*w**2?\nAnswer: -1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 82*k - 4. Let u(r) = -30*r + 1. What is 4*b(s) + 11*u(s)?\nAnswer: -2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*d = 113*d - 374 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*o - 1839 = -191*o + 1521. What is the greatest common divisor of 168 and o?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.381 + 0.281. Is 0 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/27 and 77\/405.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 2*t**7\/35 + t**4 + 21*t**2\/2 + 6. Let g(q) be the second derivative of h(q). Find the second derivative of g(m) wrt m.\nAnswer: 144*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19022 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 -8*v + 135 + 89 = 0. Let o be (-7)\/v + 162\/8. Let b be -5 - (-5 - (78 + 2)). What is the greatest common factor of o and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 3730240*w - 1739336307200.\nAnswer: -2*(w - 932560)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.419 + -0.4. Let b = 0.099 - i. What is the closest to 2\/9 in b, -2\/3, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.81556 meters to millimeters.\nAnswer: 25815.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001114 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 4979\/4 (c) 2 (d) -323\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*z - 12 = 44*z. Let f(o) = 2*o - 6. Let w be f(z). List the prime factors of -3 + 387\/(0 - -3) - w.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2. Let u(g) = -g. Let w(j) = 4*j. Let x(l) = 2*l + 3. Let b be x(-4). Let h(c) = b*u(c) - w(c). Calculate h(a(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*g - 3 + 6, 5*x - g - 11 = 0. Let c be (-7)\/14 + 11\/x. Suppose 11 = 4*n - c. Let b(q) = q**2 - 2*q - 3. Give b(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6014, 12148, 18406, 24788, 31294, 37924?\nAnswer: 44678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 447*g + 127403. Give k(-285).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1928 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.184*16.9.\nAnswer: -87.6096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 164766 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*i + 14, 5*i - 4*o = 20 + 10. Suppose i*d = 5*b, d + 2 = -2*b + 11. Let g = 6 + d. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/1*(-15)\/(-6). Is (-190)\/y*(0 + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 110\/(-11) + 108\/11. Which is the nearest to 9\/4? (a) g (b) -8 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25294*(-2 - ((-306)\/12 + 8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*h - 5*z, -z = -h + 1 - 6. Which is bigger: h or -13\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -11. Suppose 3*z = 51 + n. Suppose -2*j - 2 = -z. Solve 0*h - 3*h = 9, -4*p - 5*h - j = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 9 + 14)*(3 - 4 + 4)*(2 - 1 + 3)*(0 - 2 + 3)*(-3 + 3 - 2*m).\nAnswer: -144*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 6:59 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 339.6971 grams?\nAnswer: 339697.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66960*g**4 + 30289*g**2 - 4*g.\nAnswer: 1607040*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcbb when four letters picked without replacement from bbbbkmcl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**5\/30 - o**4\/6 - o**3\/3 + o**2. Let l = 25 + -12. Let y = 11 - l. What is i(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30987 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 64*u - 39. Determine s(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(10 - (-1719)\/(-171))*-1\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3. Let x(y) = -4*y**3 + 6*y**2 - 5*y. Let u(q) = -5*p(q) + x(q). What is u(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-32)\/20)*10. Let t = j + 4. Are 1\/19 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 7178213?\nAnswer: -143564.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, -5, -9\/17?\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + 2.5. Let z = 4 - y. Let r = 3154 + -3149. What is the second smallest value in 0.2, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531930233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14640*k - 2280 + 4476 - 2196 - 4*k**3 - 14640*k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1)\/((-1)\/(-3)). Suppose -h*c = 5*i - 31, 3*i + c + 17 = 38. List the prime factors of (48\/i)\/(0 + 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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 -152.5026187 rounded to two dps?\nAnswer: -152.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28695 is divided by 173.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4365, -4673, -4969, -5247, -5501, -5725, -5913?\n\"Answer: f**3 - 315*f - 4051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 115.\nAnswer: 7\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -47. Let t = -36 - -21. Let c = k + t. Let a(s) = -s**2 - 3*s + 1. Determine a(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13482 - -22613?\nAnswer: 8121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -98398*i + 1. What is n(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130884483 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 8.23. Let v = 0.03 - c. Sort 2, v, -4, 0.2 in ascending order.\nAnswer: -4, v, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/6*(-15)\/(-10). Let g(j) = 3*j**2 + 2*j**2 - 5*j**d + 5*j**2 + 3 - 4*j. Determine g(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1425*d - 24 = 1431*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (3 - 8) - (-2 + 13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 171077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.49, -0.3, 6 in decreasing order.\nAnswer: 6, -0.3, -0.49, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - -35) + 6 + 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2590459058.\nAnswer: 2, 11, 53, 151, 14713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 - 163. Calculate the common denominator of -97\/20 and o\/(-12)*(-3)\/(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h + 15 = 23*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7711193*r**3 + 2*r + 2198402 wrt r?\nAnswer: -46267158*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 4*m + 6 + 3*m + (m + 2*m - 4*m)*(2 - 5 + 4) + 3*m + 0*m - 4*m + (2 - 2 + m)*(3 + 0 - 4) to the form f + t*m and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*d = -14. What is the highest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l + 4. Let h = -4 - l. Let a(g) = g**3 + 9*g**2 + 6*g - 11. What is the remainder when 14 is divided by a(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2234.52395 + 0.27605. Round d to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 696290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + -5*-2*sqrt(17) + sqrt(102)\/sqrt(6)*-3.\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41911360591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9866, 9863, 9860?\nAnswer: 9857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2\/g**(-4))\/((g**5\/g)\/g**(-2\/3)))**46 assuming g is positive.\nAnswer: g**(184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21715 - 75443 = -736*h for h.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b90c2 (base 14) in base 2?\nAnswer: 111110111001001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2769*270\nAnswer: 747630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msrpn. What is prob of sequence pr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 120202202020021221?\nAnswer: -120202202020021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 476 and -23.\nAnswer: -10948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v + 4*y = -50, 0 = v - 4*y - 15. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 127\/130)*200\/2440. Which is bigger: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + -48)*(5 - 258\/48)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxcccccxhxxcxxhhh. What is prob of sequence xh?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/16 + 2*-1 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1892 is divided by 71.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkykkkykkkkkuk. Give prob of sequence kk.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6756610004314 + 13.\nAnswer: -6756610004301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r = 0. What is the tens digit of 15 + (0 - r\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 11101101011001010101001?\nAnswer: 11101101011001010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007171 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 793561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2569 and -68131543842.\nAnswer: -68131541273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*g - 24*g + 9*g)*(-2 + g**2 + 2).\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 686.370471 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72952341 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 615*g**2 - 36*g + 6. Let w(t) = -410*t**2 + 24*t - 4. Let r(c) = 5*n(c) + 8*w(c). Find the second derivative of r(u) wrt u.\nAnswer: -410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2366 + 2361. Sort 190, c, 1 in ascending order.\nAnswer: c, 1, 190","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*q + 3*q + 3*q)*(2 - 1 + 0)*(-q - 2*q + q)*(67 - 9*q**2 - 67).\nAnswer: -918*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*t, -18315 = -4*g + 4*t + 15121. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 4:22 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 271889581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -293819 by -6833.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 150, 130, 104, 78, 58, 50, 60?\n\"Answer: j**3 - 9*j**2 + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6286640 a multiple of 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/5023250 and 59\/3516275.\nAnswer: 35162750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*g - 8 = -217*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -65, -8, 55, 124?\n\"Answer: 3*t**2 + 48*t - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.82 and 2304790.\nAnswer: 2304789.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.55584g to milligrams.\nAnswer: 64555.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 1 = -8. Let u be (-3)\/1 + y + 11. Suppose -c + 0 = -u. Solve 0 = -3*x - 3, 0 = -c*l - x + 2*x + 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81476 is divided by 6266?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 89746, 179532, 269440, 359470, 449622, 539896?\n\"Answer: 61*z**2 + 89603*z + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 11:21 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 52*i**2 + 32*i. Let b(f) = 8*f**2 + 5*f. Let z(o) = -32*b(o) + 5*m(o). Let j = 6 + -4. Let d(q) = 4*q**2 - 5*q**j - 2*q**2. Give z(d(g)).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137959 is divided by 73.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75792 or 440?\nAnswer: 440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 575 and 1061280.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*6 - (-138)\/30.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2100 and 7500?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((5 - 4) + 0)*-1. What is the units digit of z - (128\/4)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 2*z - 96*z + 91*z + 6*z + 3*z + 9*z.\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11047834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*z - 4*m, -6 = 5*z + 3*m - 0*m. Let v be (-2 + -2 + 4)\/1. Solve -4*a + v = -t - 9, z = -5*a + 5*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2266198 rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.8 - -3. Let q = -14.9 - -13.7. Let j = q - f. Which is the nearest to 0? (a) -4\/7 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -69573?\nAnswer: -69572.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -248, -254, -252, -236, -200?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 12) to base 4.\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5 - 12*a**2 - 40*a**2.\nAnswer: -52*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.38 - 0.38. Let y = 23.14 - j. Let u = y + -0.1400035. What is u rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.8302nm in centimeters?\nAnswer: 0.00002818302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6953915.\nAnswer: 5, 1390783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -53. Let k(u) = b + u - 19 + 3*u. Let w(d) = -2*d. Give w(k(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5357\/34225 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -216697*i*m**3*v - i*m**2*v - 27*i*m**2 - 7*i*m*v + 14*m**3 - 1007 wrt m.\nAnswer: -1300182*i*v + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, j: 8, g: 3, b: 1, o: 3}. What is prob of picking 1 b, 1 o, and 1 g?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 703 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3253*j**2 - 117648 + 117665 + 3251*j**2.\nAnswer: -2*j**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*c = -6*c - 876, -w = -5*c - 199. What is the greatest common divisor of 32 and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8552750.\nAnswer: 2, 5, 34211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69120 - -12165163\/176. Let v = r - 2\/11. Find the common denominator of v and (-103)\/(-4)*(-4)\/(-10).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -3*b**4\/4 + 2*b**3\/3 + 1231. Let z(n) = -3*n**3 + 2*n**2 + 1. Give 3*t(o) - 2*z(o).\nAnswer: -3*o**3 + 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000131603 to 6 dps.\nAnswer: -0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34*50\/100*(4 + -3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -d - 165, 2*d + 162 = 2*q - 0*d. Suppose -83*h = -q*h + 70. List the prime factors of h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuuuwwwsuw. Give prob of sequence uuus.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 58405 + -31?\nAnswer: 58394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*q**3 - 248*q - 24*q + 18 + 91*q**3 - 18 + 86*q**3.\nAnswer: -q**3 - 272*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3218 is divided by 2267?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 59*f + 3. Let m(z) = 78*z + 4. Let q(i) = 4*a(i) - 3*m(i). Let d(n) = 24 + 26 - 50 - 10*n. Determine d(q(j)).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6876*c - 1. Let n(p) = p. Give h(n(i)).\nAnswer: -6876*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 - 96. Solve -8 - b = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l - 1. Let v be y(2). Let p(t) = 3*t - 2. Let x be p(v). What is the greatest common factor of 52 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*a + 0)*(-54*a**2 - 83*a**2 + 352*a**2).\nAnswer: 860*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -46*k**3 + 375*k**2 - 23*k - 30. What is n(8)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2347850?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(8\/7))**33 assuming t is positive.\nAnswer: t**(264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30446 (base 7) to base 2.\nAnswer: -1110100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.5207124\nAnswer: 0.05207124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25031 is divided by 1786?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -11*l**5\/30 + l**4\/2 + 8*l**2. What is the second derivative of k(w) wrt w?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-18)\/4)*48\/16\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.09279, -0.1, 5, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29568 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 15*t**2 + 38*t - 15. Let a = 84 + -72. Let k be h(a). Solve -34 = 5*p - k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Let b(x) = x**3 - 3*x**2 + 2. Let d be b(3). Do l and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (4 + -41 + 47 + -21).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/187226 and 71\/3931746?\nAnswer: 3931746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**4 - 22*b**3 - 16*b**2 + 4. Let d(g) = -7*g**4 + 23*g**3 + 15*g**2 - 3. Let h(n) = -4*d(n) - 3*m(n). Determine z, given that h(z) = 0.\nAnswer: -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -10*q**4 - 5*q**2 - 4*q**3 + 4*q**2 + 11*q**4 + 4*q**5 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-15)*1 - ((-24)\/10 - -2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 702343, -3, -2 in decreasing order.\nAnswer: 702343, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -78697655, -78697662, -78697669?\n\"Answer: -7*f - 78697648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from yizfzfiizfizzyyiz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 131422 and 131840 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1163740 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 14\/(-18)) + 2723\/63. Let a be (7 - 10) + 2 + m. Calculate the highest common divisor of a and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8*a**2 - 4. Let y(c) = -4*c + 36. Let k = -60 + 70. Let j be y(k). Let w(v) = 7*v**2 - 3. Give j*w(x) + 3*f(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b**3 - b**2. Let o = 12 - 28. Let l = -15 - o. What is z(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25046532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5189 * 9.5307\nAnswer: 49454.8023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/8 of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10*h = 310. Let g = h + -42. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.0031, -2, -3, -0.3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1603171.5 days to weeks.\nAnswer: 229024.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 8 = -t - 3*l, -t + 2*l = 7. Solve 0 = t*g + g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147226464 and 20790?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -792 + 797. Solve 5*a = -w + 2*a + 12, -2*w - 20 = -p*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24, -95, -214, -381, -596, -859?\n\"Answer: -24*b**2 + b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2 - (4 - 1)) + 3 + -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/24 and 23\/216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 471886.975 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, o: 5, f: 5, q: 3}. Give prob of picking 1 f, 1 o, and 1 q.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3318?\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26972 + 26967. Which is the closest to -0.34? (a) -6\/11 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akkakkkzinccnanankkz. What is prob of sequence kikk?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -k - 2*k. Suppose 0 = 5*d - k*d + 10, 0 = s - d - 10. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -3, 70, 5 in descending order.\nAnswer: 70, 5, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 11:06 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*d + 31, 3*k - 1 = -3*d + 4*k. Let s = 2442 + -2429. Put 1, 4, d, s in ascending order.\nAnswer: 1, d, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (426\/90*3 + 2\/5)*35 and 657.\nAnswer: 4599","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 16086 - 16046. What is the greatest common factor of h and 5140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 30 = -t. Let b = -1 + 12. Solve 3*c - k - b = -3*k, 4*k = 3*c - t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 9:56 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8140.8 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, d: 1, g: 6, p: 3, n: 2}. Give prob of picking 2 n and 1 g.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 4:27 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -874 + 871. Sort 1, g, 13 in decreasing order.\nAnswer: 13, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 79*o**5\/60 - 21*o**3\/2 + 7*o**2 - 2. Find the first derivative of v(a) wrt a.\nAnswer: 158*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(8)*4).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7484315297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 465\/3166?\nAnswer: 465\/3166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 - 48*r - 8. Let a(w) = -2*w**2 + 2*w + 1. Let k(h) = 6*a(h) - n(h). Calculate k(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -172*z + 12. Let t be (3\/27*18)\/((-2)\/(-12)). Let h(u) = -69*u + 5. Give t*h(y) - 5*a(y).\nAnswer: 32*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*i + i = -6, 0 = p - 3*i. Suppose 3*d = 6*g - 2*g - 580, 0 = p*g + 4*d - 435. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -8 - (-20 + 5 - (-5 + 10)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3147, -3173, -13705, -28449, -47405, -70573, -97953?\nAnswer: -129545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2512 + -2496. Solve 3*o - 12 = 0, o = 4*a + 4*o - f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(128) + 1*sqrt(2)*-3)*-2)**2*-1.\nAnswer: -216 - 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13927565 + 21815065. Round b to the nearest one hundred thousand.\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/(-3))\/(-5))\/(24\/9).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - v - 38. What is l(12)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*l - 218 - 619 = -270 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-9))\/((-1)\/21). Suppose 5*v - 3 = o. What is the second derivative of 19*c**2 + 39*c**v - 23*c - 9*c**2 - 3*c**2 wrt c?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1 + 5 = 0. Suppose 5*v = l*v. Suppose -2*j + 129 = -5*c, v = -2*j - 0*c + c + 133. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbnmpbnpnmnnnn. What is prob of picking 1 n, 2 p, and 1 m?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 305011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y**5 + 0*y**5 + 16*y**5)*(1231 - 312 - 506).\nAnswer: 9912*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + y - 1716 = 0, -3*r + y + 68 = -960. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.64 - -0.4. Let p = k + 0.04. What is the third biggest value in -0.06, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35898 times 107?\nAnswer: 3841086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(-5 + (sqrt(180) + 1 - sqrt(180)))**2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/9 and 4\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20229825 a multiple of 1155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45624007*p**4 - 187313490?\nAnswer: 182496028*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43.7 + -1.7. Which is smaller: r or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 877, -4 in descending order.\nAnswer: 877, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 45*d - 856. What is the lowest common multiple of t(48) and 4?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 m, and 1 s when three letters picked without replacement from {w: 6, p: 2, s: 1, k: 3, i: 1, m: 2}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from yyyyyyyyyyyyyyayyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, u: 3}. Give prob of picking 2 n.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 64 (b) -6 (c) -2\/3 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4315439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2\/5 - 159*m + 117404\/5 = 0.\nAnswer: 196, 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.11 + -1.53. Let g = -1.42 - w. Which is the second biggest value? (a) 0.1 (b) 2\/5 (c) g (d) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/8)\/(3\/(-6))*266\/133?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2649*s - 247. Let m(h) = -1766*h + 177. Give 5*c(g) + 7*m(g).\nAnswer: 883*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23516959?\nAnswer: 23516959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -441484, -441443, -441374, -441277?\nAnswer: -441152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d**2 + 5*d. Let g = -40 + 42. Suppose -3 = 4*z + 3*m + 2*m, -3*m = g*z + 1. Let t(s) = -s**2 + s. Let q(b) = z*i(b) + 10*t(b). Factor q(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 2\/13, -0.45, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1334319 and 42.\nAnswer: 2668638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6588 divided by -3\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3*d - 2*d)*(-5 + 5 - 2*d**4).\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48.64 - -48. Let i = n - -0.44. Let j = 9 - 5. Which is the second biggest value? (a) i (b) 1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 - 2*a - 2. Let u be s(-1). Let v = -3\/13 - -25\/221. Let n = 6.1 + -6. What is the third biggest value in u, n, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 106733820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 368027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 435 + -15. Suppose -3*i = -i - d + 166, z = -5*i + 5*d. Let p = 124 + i. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.29 - 0.39. Let w = -0.07 - 1.03. Let r = w - n. What is the second smallest value in -0.1, r, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3384 and 716985.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.225 - 0.1. Let a = s + 0.093. Round a to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(95)\/sqrt(5) + -2.\nAnswer: -3*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**5\/7 - 883046*v**4\/7 - 4919482*v**3 - 274600066*v**2\/7 + 188072688*v + 222507936 = 0.\nAnswer: -441484, -21, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2002172, -2002162, -2002152, -2002142, -2002132?\n\"Answer: 10*p - 2002182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106429, -212863, -319305, -425761, -532237, -638739, -745273, -851845?\nAnswer: -958461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1441*c**5 - 428*c**4 + 747807*c wrt c.\nAnswer: -28820*c**3 - 5136*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 2\/9, -0.05, 0.5, -7, 0.4 in descending order.\nAnswer: 0.8, 0.5, 0.4, 2\/9, -0.05, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-30) + 23*76\/(-10). Let r be h\/(-2) + 4\/8. Suppose -5*p + 2*m = -107, -r = -2*p - 2*p + m. What is the greatest common divisor of 69 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a week?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (168\/15)\/(13\/(-5) - -3). Let v(r) = r**3 - 28*r**2 + 25*r - 78. What are the prime factors of v(f)?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*j + 138*j + 6 = 5*b - 140*j - 1, 0 = 4*j - 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 8. Let m be x(10). Let s(g) = 2*g - 6. Let r(z) = -2*z + 8. Let f(u) = 7*r(u) + 6*s(u). Let v be f(10). Solve -m*y - 3*y + 15 = v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3 = 3*i, 3*d + 3*i = -2*i + 21 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*w - 5*w - 26*w)*(5 - 1 - 3)*(-3*w + 0 + 0 + (0 + 0 - 2)*(1 - 1 + w)).\nAnswer: 265*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/1080)\/(2\/(8\/(-6))).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8c0 (base 15) in base 14?\nAnswer: a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**5 - 590*k**4 - 19200*k**3 - 54010*k**2 - 52805*k - 17400 = 0 for k.\nAnswer: -24, -1, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2626164 to the power of 1\/2, to the nearest integer?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 40*v**3 - 12 + 7 - 4*v**4.\nAnswer: -4*v**3*(v + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 13*g**2 + 1. Determine a(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.78692 + -0.21308. Which is the nearest to z? (a) 2 (b) -3\/4 (c) 1 (d) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 5*i - 6. Let w be l(3). Suppose -3*k - 2*k + k = w. Suppose k = -5*x - 15, -3*x + 444 = 3*u + 2*x. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**3\/5 + 275*f**2 + 32178*f\/5 - 33552\/5 = 0.\nAnswer: -24, 1, 1398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-243)\/(-12)*4\/6. Let h = -14 + l. What is the second smallest value in -2\/17, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231994037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaj when three letters picked without replacement from {b: 1, j: 4, a: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -60171.504 to the nearest 1000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 - -6 - 6) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7162 and 238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(432) - ((sqrt(432) + -2)**2 + 4))*3 + (4 + ((sqrt(432) + -1)*2 - sqrt(432)) + -3)**2.\nAnswer: -564*sqrt(3) + 4393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1100?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -15. Let y be 10 - (-4 + (r - 3)). Let g be y + (-5 - -2) - 3. Solve -z = -g*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6719 - 67267\/10. Let j = -1483\/4 + 355. Calculate the common denominator of j and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 + 11916*k\/5 + 287136\/5.\nAnswer: -2*(k - 5982)*(k + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 768, -123\/5, 5?\nAnswer: 768","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001012121 (base 3) in base 6?\nAnswer: 15455324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*j - 20, -11*w - 5 = j - 12*w. Let f(u) = 11*u**2 - 5. Let m(d) = -32*d**2 + 14. Calculate j*m(h) - 14*f(h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -201 - 114. Let i = 1169 - a. Suppose -g = -5*g + i. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 159*i + 27 = 157*i, -2*i + 24 = 3*r + r - 2*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15092 - -15096. Which is the fifth biggest value? (a) f (b) -1 (c) 0 (d) -0.3 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214407441 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11324*n + 11299*n - 147 = 4*g, 21 = -0*g - 2*g + 5*n for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 666159852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**8)\/(l**(-2)*l))**(-4)*(l\/((l**(-1\/10)*l)\/l)*(l*l**8)\/l)**(-7) assuming l is positive.\nAnswer: l**(-397\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbsshsshhshsss. What is prob of picking 1 h and 1 s?\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 647*u**3 - 2*u**2 + u + 1. Suppose 10*y - 679 = 3*y. Let w = y - 96. Is g(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, 40, 85, 136?\n\"Answer: 3*u**2 + 30*u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076 is divided by 597?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638844841?\nAnswer: 4463, 367207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/96 and 107\/72?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1\/6 (c) 0.4087\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -16*x - 163. Let v be t(-12). Solve -5*w + 4*b = v, b + 16 = -4*w - 3*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - -29. Suppose 16*r - 21*r = -s. Suppose -7*y + r = -6. Solve -6 = -y*h + 2*q - 0, -5*q - 23 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99.36 + 101. Round v to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -263 + 76*r**2 + 263 + (1 - r - 1)*(-34 + 6*r + 34) to q*r + x*r**2 + o and give x.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*f - 83, -33*w + 38*w = -4*f + 85. Calculate the lowest common multiple of 4524 and f.\nAnswer: 22620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103543, 103460, 103351, 103204, 103007, 102748, 102415, 101996?\nAnswer: 101479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.0272587 to 2 dps.\nAnswer: 74.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1567*k - 1575*k + 48. Let a be (-2)\/(-12) + (-12)\/72. Suppose x = -5*q + 14 + 2, a = 2*x - q - 54. What is the remainder when x is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(4719) - sqrt(4719))*3 + sqrt(4719) + sqrt(4719) + -1*(sqrt(4719) - (1*sqrt(4719) + sqrt(4719))))\/(sqrt(432)\/sqrt(4) - -1*1*sqrt(3)).\nAnswer: -33*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1922 (base 11) to base 16.\nAnswer: 98c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i + 4*i - 4*b + 12, -b = 3*i + 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.5 - 32.5. Let c = v + 26. Let a = 13 + -13. Which is smaller: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4230 is divided by 2097?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(162) + 0 + sqrt(162) + 3 + -1 + sqrt(162) + -1 + sqrt(162))**2.\nAnswer: -12965 - 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293 + 613 - 320 - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 319 and 2?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Let z = 2 + t. What is the second biggest value in -2, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 4841892.\nAnswer: 4841892","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**5\/5 - 36828*n**4\/5 + 14407508*n**3\/5 - 381262788*n**2 + 16554802680*n + 34657826400 = 0.\nAnswer: -2, 135, 8804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 3*z + 1. Let g be r(2). Suppose -9*d + g*d + 18 = 0. Suppose 3*o + d*y = 21, 8*o - 19 = 3*o + 3*y. Solve x = o*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + 13210?\nAnswer: 13240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -2. Suppose -6 = t - 2*t + 3*p, -2*t - 3*p - 6 = 0. Let u(l) = 2*l**3 - l**2 + 1. Let i be u(1). Sort w, i, t.\nAnswer: w, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12 - 20 - 15*d**2 - 12*d + 30*d**4 - 2 - 2 - 18*d**2 wrt d?\nAnswer: 360*d**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8204 - -7973. Is i bigger than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.651 (b) 0.01 (c) 0.5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emeeemeee. What is prob of sequence em?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 275.267nm in micrometers?\nAnswer: 0.275267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - 4*o + 5*o + (2 - 1 - 2)*(0 - 2*o + 0) + 0 + 0 + o to v + a*o and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 420? (a) -4 (b) 1 (c) -34 (d) 3 (e) 219\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5685729 is divided by 758.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-4140)*((-4 + 0 - -6) + -7 + -3).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 9932460.\nAnswer: 89392140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, -14, -27, -44, -65, -90, -119?\n\"Answer: -2*a**2 - 3*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 - -52. Solve v*x + 0*x = -5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-1320)\/32))\/(1*12\/63).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, 52, 319, 754, 1363, 2152, 3127?\nAnswer: 4294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(143)*1*-6)\/(3*(sqrt(539) - (sqrt(539) + -6*-2*sqrt(539) - sqrt(539)))).\nAnswer: 20*sqrt(13)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 408 = -10*m. Calculate the remainder when m is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*(-9)\/12 - -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**3 - 155*u**2. Let o(q) = 8*q**3 - 309*q**2. Calculate -5*m(j) + 3*o(j).\nAnswer: -j**3 - 152*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031192 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 2*n**2 + 2*n**2)*(-n + 13 - 13)*(2 - 2*n - 2).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/8278, -4, -0.4?\nAnswer: 5\/8278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3497813 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95550*x**3 + x**2 + 21545 wrt x.\nAnswer: -573300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -113, -229, -347, -467, -589, -713, -839?\n\"Answer: -u**2 - 113*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(10\/9)*u))\/(u**(-38)\/u*u)*(u**44*u)\/(u*u\/((u*u\/(u**(-3\/8)\/u)*u)\/u)) assuming u is positive.\nAnswer: u**(5923\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-52 - (-1482)\/377) + (-2)\/(-29)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001626134474 to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxxxggggxxggxxgxgg.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(6 - 2 - 3)*(0*j + 0*j - 4*j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4776870.\nAnswer: 2, 3, 5, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1692540 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 6. Give q(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 b, and 1 r when four letters picked without replacement from {f: 2, y: 1, b: 7, r: 8}?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -81205300 to the nearest one million.\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*a - 3 + 1, -a = 5*r - 17. What is the units digit of 141\/(-6)*-1*a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) -1\/3 (c) 3\/2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(2 - 326\/100). Let i = 11\/14 - f. Find the common denominator of -1 + ((-33)\/2)\/1 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 192.97 + -1980.07. Let h = f - -1787. Let l(u) = -u**3 - 2*u**2 + u - 3. Let t be l(-3). Which is the nearest to -0.05? (a) h (b) -2\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -102, 5, -52913 in decreasing order.\nAnswer: 5, 0, -1, -102, -52913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6\/71 (b) 0 (c) 139\/6 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 692934?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, k: 3}. What is prob of picking 3 k?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11441 - -10?\nAnswer: -11431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-94.09.\nAnswer: 28.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 29. What is the least common multiple of 12 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = 6*g + 715. Is 32 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, k: 9, v: 1, u: 5}. Give prob of picking 2 u, 1 v, and 1 k.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/2704 and 79\/12032.\nAnswer: 2033408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.364 rounded to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-21)\/(-15) - 5)*(-10)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/4 + 1866*s**2 + 7467*s\/4.\nAnswer: -3*s*(s - 2489)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*d**2 + 127*d - 3 - 24 + 12*d - 13*d.\nAnswer: -3*(7*d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let k(q) = 5*q**2 + 252*q + 5. Determine k(d(l)).\nAnswer: 5*l**2 + 252*l + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = -a. Suppose -a*d - 3*p = -21, 0 = -0*p - p + 5. Let w be 3 - (d + 7\/2). Is -2 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -20. Suppose 4*t - 83 = 2*p - 11, -t + 4*p + z = 0. Calculate the greatest common divisor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-90)\/(-6))*525\/21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 2, 22 = -3*r - 2*r - 2*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a**2 - 34*a**2 - 9*a**2 - 128*a**2 - 3*a**2.\nAnswer: -153*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 121706834.9999855 + -121706888. Let i = -53 - f. Round i to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 5 - 9)*(0*p + 2*p - 5*p)*(-1 + 1 - 3)*(-5 + 4 - 1) - p + p + 1 + 3*p in the form z*p + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23.02 and -72?\nAnswer: 1657.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4729 is divided by 215?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(13\/(-65)*5)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 69. Let x(t) be the first derivative of -t**u - 3 - 1\/3*t**6 + 0*t**5 + 0*t**4 + 0*t + 0*t**2. What is the third derivative of x(m) wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -160*p + 9617. Calculate the remainder when p is divided by 54.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -279 + -4?\nAnswer: -27d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 311*n**4\/8 - 2*n**2 - 39*n. Let f(x) = -2*x**2. Determine q(f(t)).\nAnswer: -1866*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3814478\/93 or 41016?\nAnswer: 41016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttsdsttg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4889977 is divided by 76.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21\/904 + 1661\/6328. Let -2\/7*k**3 + 2\/7*k + 2\/7*k**2 - u = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + j - 2. Let g be s(12). Let t = g + 224. Suppose -q + 37 = 3*y, -y = 4*y - 4*q - t. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -bb9?\nAnswer: bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 16.67763 nanograms?\nAnswer: 0.00000000001667763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246109 is divided by 478.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 562538 or 562537?\nAnswer: 562537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 + -91 + 2 + (-5 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:32 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let g be 0*(-3)\/(-12 - 0). What is the closest to w in -0.2, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7465 (base 11) to base 5.\nAnswer: 303442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-80))\/(((-203)\/(-87))\/(21\/18)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 68988375.52491 and 0.2.\nAnswer: 68988375.72491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3}. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 186643229?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -415 - -420. Let q be (-33)\/(-2) + 1\/(-2). Let v be q\/(-12)*(-3 - 0). Solve 6*x - v*x = -g + s, -5*x = 4*g - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37)\/((-148)\/(-80)))\/((-7)\/((-7)\/22)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 3\/(-6)*2. Suppose -j + h = -3. Which is smaller: j or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3774 = -4*c, -4*z + 6393 = -3*c - 1160. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59643 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 2706.19, -2\/23, 7\/5, 4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4152609 take away -0.03967?\nAnswer: -4152608.96033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 2, -42, -90, -136, -174, -198, -202?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(85)*3)\/((sqrt(100)\/sqrt(4))\/sqrt(5)) - 3*(sqrt(170)\/(-3*sqrt(160)) + -2).\nAnswer: 6 + 25*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 727 - 732.03. Let k = 7 + -7.03. Let m = s - k. Which is the smallest value? (a) 4 (b) 2\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -717*x - 6254. What is the remainder when c(-9) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217100144831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y + 3. Let i(d) = -3*d - 5. Let k(w) = 5*i(w) + 6*u(w). Let s be (-6)\/((-4)\/(-2)) + 10. Determine k(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2 + -3)\/((-2)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -291?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a day in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8049 + -7989. Let x = -6 + -4. Let n = k - x. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 5, -179, 13 in increasing order.\nAnswer: -179, 1, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (25 + -27 - (-195 - (2 - 5))) + 4 is divided by 74?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1 - 25*l**2 - 55*l - 95*l**2 - 11 - 70*l**4 - 130*l**3 - 15*l**5 = 0. What is l?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -10 + 442. Suppose -y = -p - 197. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.7641 - 0.0959. Let h = -0.86 - k. Sort -3\/2, h, 0.5 in decreasing order.\nAnswer: h, 0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(99)*-4 + (sqrt(99) - (sqrt(99) + -2)*1))**2.\nAnswer: 240*sqrt(11) + 39604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 101 - 365. Let h = -8 + 12. Suppose -h = -2*t, -3*q - 3*t - 16 = -5*q. What is the highest common divisor of u and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4*i + 2 = 3*i, -4*w + 4*i - 28 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a minute in milliseconds?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183 (base 10) to base 8.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/35 + (-1)\/(70\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42702.\nAnswer: 2, 3, 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 k when four letters picked without replacement from {p: 2, k: 9}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j + 2. Let l be p(1). Suppose 4*x = 5*x - l. Find the third derivative of -5*a**2 + 7*a**5 - 7*a**5 - a**5 + 3*a**x wrt a.\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 438*m**3*x**2 + 1445*m**3 - 19*m*x**2 - 7873*x**2 wrt m?\nAnswer: 2628*m*x**2 + 8670*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4964 divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2399*j - 9798. Calculate y(-4).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*w + 8, 4*x - 3*w - w = 4. Let f = -2.06 + 8.1. Let m = f - 6. Which is the smallest value? (a) m (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/5)\/a*a)\/a**(-1))**(-6\/13) assuming a is positive.\nAnswer: a**(-6\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 57*b**2 + 17*b + 1018. Let h be w(-57). Solve -h = -16*f + 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {u: 2, l: 4, f: 1, r: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93529756 and 464.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*(-1 + (sqrt(7) + sqrt(49)\/sqrt(28) - sqrt(7)) + -4))**2.\nAnswer: -125*sqrt(7) + 2695\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98220261?\nAnswer: 3, 32740087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4*y - 1717*y**2 + 2*y**3 + 1717*y**2)*(2526*y - 1129*y - 973*y) + 2*y - 2*y + 2*y**4.\nAnswer: 850*y**4 + 1696*y**2 + 2968*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 0*i + 0 + 8\/3*i**3 + 0*i**2 + 0*i**4 - 2\/3*i**5 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -17*l**4 - 10*l**3 + 63*l**2 + 64*l + 8. Let t(i) = -i**4 + i**3 - i + 1. Let u = 160 + -159. Let y(v) = u*g(v) + 4*t(v). Solve y(p) = 0 for p.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 + 19*v**2 + 26*v + 15. Calculate u(11).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 2293637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -15*u**2 + 1. Let a(r) = 5*r**2 + 7. Let t(q) = -2*q**2 - 3 + 13*q - 13*q. Let g(v) = -3*a(v) - 7*t(v). Determine h(g(p)).\nAnswer: -15*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -100? (a) -0.4 (b) 2 (c) 1.1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149*n**2 + 431*n**2 - 141*n**2 - 147*n**2 - 57 to the form j + o*n**2 + i*n and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 64*o**2 - 4*o + 4. Let w(d) = -d + 1. What is -i(r) + 4*w(r)?\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 227598143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 176876366 less than or equal to 176876367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5729695 at most -5729694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 236*i**4*u - 19*i**2*u - i**2 wrt i?\nAnswer: 5664*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 360586.6l?\nAnswer: 360586600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (40\/(-1050))\/(2\/(-186)) - 2. Let z = 8\/7 - f. Which is smaller: z or -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 117 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 6803.\nAnswer: -5, -1, 6803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8784 + 8783.9994366. Round y to five decimal places.\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 12*n**2 + 44\/3*n**4 + 0*n + 76\/3*n**3 + 0 + 4\/3*n**5 = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1861\/209842?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 20*f**2 - 18*f + 12. Calculate v(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 178*l**4 + 9113*l**3 - 9113*l**3 + 0*l**4 - 3*l**4 + 2*l**4 + (2 - 2 - l**4)*(3 - 2 + 0) to the form j*l**3 + c + z*l**4 + p*l + o*l**2 and give z.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4064*s**3 + 4068*s**3 - 8137*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - 40*f + 12. Calculate l(12).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 189, 55, -169, -483, -887, -1381?\n\"Answer: -45*d**2 + d + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 + 34 - 3) + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1172\/(-36) - (1 + 0). Let m = 199\/6 + b. What is the common denominator of 47\/6 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 12:51 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -725*p**2 - 8*p - 5. Let h(a) = -724*a**2 - 6*a - 4. Determine -4*h(o) + 3*r(o).\nAnswer: 721*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14114*v - 309 - 36 = 14109*v - 5*u, 0 = 2*v + 5*u - 330 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9913\/6 - 1652. What is the nearest to -2\/5 in -3\/7, v, -0.03, 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-4))\/(2\/(-15)). Suppose 0 = -5*f + y + 5, 5*w = 2*f + 157. Is 33 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, 22, 30, 42?\n\"Answer: 2*f**2 - 2*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 788\/32*(2 - (-96)\/(-54)). Let p = 56\/9 - q. Let k(y) = -y**3 + 5*y**2 + 5*y + 4. Let f be k(6). Which is the nearest to -15? (a) -4 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 41, 56, 71, 86, 101?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.13 + 5.5. Let m = 5.37 - o. Let x be ((-3)\/15)\/((-1)\/(-2)). Which is the nearest to 2? (a) 2 (b) m (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2*-6 - 0. Suppose 5*r = 4*y - 80, -a*y + y - 5*r = -10. Let k = 16 - y. What is the highest common divisor of 11 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(11655\/(-962)))\/(2\/5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(110) + 1*sqrt(110))*6*3)\/(sqrt(1210)*-1 - (sqrt(10) + (sqrt(10) + sqrt(90))*4)))**2*-3.\nAnswer: 2673\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 21*q + 19. Let m be h(-6). Let p = m - -107. Solve 5*d - z = -2, p = 5*d + 5*z + 17 + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 123 = -10*z. Let d(w) = -w**3 + 9*w**2 + 9*w + 9. What is d(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 972*w**4 + 42876*w**3 - 972969*w**2 + 1719822*w - 793305 = 0?\nAnswer: -61, 17\/18, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q + 2317. Let f be (-2 + (-1 - 0))\/(33\/(-11)). Suppose -2*l = -5*b - 5, -l + b = -5*l - f. Is m(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 - -1012?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 204*v + 1. Let a(k) = -2*k**2. Calculate a(g(m)).\nAnswer: -83232*m**2 - 816*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2 = -4*a, 0 = 2*d - 3*a + 1 - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 - (-53 + -3)\/2?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-4 - (-5 - -3)) - -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 10:42 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -346 + 347. Let q be -2 - (-1 + 2\/(-3)). What is the smallest value in q, o, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47946 divided by 6\nAnswer: 7991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.81383 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/5 (b) 213\/23 (c) -8 (d) -3 (e) 1\/2 (f) 3\/8 (g) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000031093 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.043 - 0.091. Round y to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36424 and 37052?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 20*c**2 - 16*c.\nAnswer: -4*c*(c - 4)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7.006. What is z rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*d - 7*d + 45, 3*d = 3*l. Suppose 0*k = -3*k - 4*q + 8, 4*k - l*q = 21. Suppose 0 = 7*j - k*j - 12. Solve -v = -j*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/(-12) + (-6)\/(-8). Suppose s + 3 = -l. Let a(n) = -2*n - 6. Determine a(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -100*t**7\/21 - t**6\/6 + 3*t**5\/2 + 457*t - 3. Factor a(i).\nAnswer: -5*i**3*(5*i + 2)*(8*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + 1 - (-6)\/(-6). Suppose 123 - 13 = a*b. Calculate the smallest common multiple of 24 and b.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -r - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 - 8 = 0. Let d = -17 + b. Let h = 13 + d. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 854284 divided by 213571.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u + 0*u - 11*u)*(1 + 1 - 1) - 9 - 863*u - 7 + 3 + 13 - 27*u to a + p*u and give p.\nAnswer: -897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 162971*-0.5\nAnswer: -81485.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 10460576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, p: 4, v: 3}. What is prob of sequence vvgg?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 10. Let m be v(-5). Let c be (-1 + 3\/1)*m. Is ((-98)\/(-4))\/((-5)\/c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = -89*j + 284. Solve -25*i + j*i - 138 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3190 - -4?\nAnswer: 3194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - -7 - (10 + 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 5. Let r be p(-5). Let j be (2\/(-4))\/(5\/r). Let k be ((-9912)\/(-126))\/59 + 2\/(-24)*1. What is the second biggest value in 0.1, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (51\/(-150654))\/((-14)\/10008). Let u = 8\/211 - l. Is u <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 12*w**2 + 27*w - 8. Let q be h(11). Differentiate 22*s - q + 40 - 75*s wrt s.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274280248 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3471 + 3773. Solve -18 = -t*p + 296*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 58123 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006547 to 6 dps.\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 11*f - 13. Let d be c(-9). Suppose 0 = -3*a + 7 + d. What is the remainder when 14 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.4, -1\/2, -2, 1.16, -1, -12\/299?\nAnswer: -12\/299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40639 + -37077. What is the greatest common factor of 5206 and c?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2 (b) 11 (c) 78 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/5649, 5.368 in descending order.\nAnswer: 5.368, 0.3, 2\/5649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -369, -758, -1795, -3798, -7085, -11974, -18783, -27830?\n\"Answer: -53*j**3 - 6*j**2 - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/4 and 28\/1069?\nAnswer: 4276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/2 - 57*p**2\/2 + 479*p\/2 - 423\/2 = 0. Calculate p.\nAnswer: 1, 9, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -30322 (base 4) to base 5\nAnswer: -11301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 386, 1629, 3678, 6515, 10122, 14481, 19574?\n\"Answer: -3*x**3 + 421*x**2 + x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658932?\nAnswer: 2, 3, 43, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13455 - 24?\nAnswer: 13431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2*sqrt(637))**2 + sqrt(637))*6 + sqrt(637) + 5 + 1 + sqrt(637).\nAnswer: 56*sqrt(13) + 15290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 5:21 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 4*w**5 - w**5 + 4 - 4 + (-4*w**4 + 2*w**4 + 0*w**4)*(-33244 + 33244 - 93*w).\nAnswer: 181*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4.66*0.4\nAnswer: -1.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2132\/10927 - 2\/223. Is z equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 - 10*k**2 + 14*k + 32. Let w be r(-4). Solve 1031 = -w*i + 1023 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1692*c + 4 + 1860*c - 4.\nAnswer: 168*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*k + 17, 4*k = s - 6*s - 17. Put s, 4, 3 in ascending order.\nAnswer: s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*d = -40, n + 0*d + 4*d + 52 = 0. Let f be 39\/92 - (n\/16)\/(-11). Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*h = -125. Let t = 103 + -78. What is the greatest common factor of t and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgem when four letters picked without replacement from qeggmwmmmmeme?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = k, 4*k = -v - 0*k + 181. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.285401ml to litres.\nAnswer: 0.000285401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 8299*k + 90496. Give b(-11).\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -24 + -60 + 79\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, t: 3}. What is prob of picking 2 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 35*y - 116. Calculate t(10).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 11) in base 2?\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 13) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-1\/20)*l**25\/l*l\/l**2*l*l*l**(2\/87)\/l assuming l is positive.\nAnswer: l**(43453\/1740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292, -290, -286, -280, -272, -262, -250?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1658, 1699, 7 in descending order.\nAnswer: 1699, 7, -1658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**2 + c**2 + 1077*c**3 - 3*c**2 + c**2 - 10*c**2.\nAnswer: 1077*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -94 - (4\/4 + -1)\/2. Let q = y + 89. What is the remainder when 57 is divided by (5\/(-4))\/((-236)\/(-48) + q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 24*k**3 + 3*k**2 - 4*k - 4. Give n(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 118\/(-531)*9\/24\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -10 - -71 - 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.07 and -236581567.84.\nAnswer: -236581567.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 4:53 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 22. Suppose g = z*g - 3*f - 16, -4*g = -4*f - 32. Let r(o) = -o**3 + 4*o**2 - 2*o + 5. Calculate r(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j**2 - 2*j - 18*j**2 + 17*j. Let a(t) be the first derivative of -2*t**3\/3 + 902. Give v(a(f)).\nAnswer: -36*f**4 - 30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fft when three letters picked without replacement from ttftfffftfftffttftft.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1 - 4 + 2. Suppose -49*f + 44*f = -50. Let j(o) = 3*o**2 - 13 + 1 + 5 + f. Determine -j(x) - 3*n(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*j**3*k**3 - j**3*k**2 + 3*j**3*k - 2047*j**2*k - 1365*j*k**2 - 2*j wrt k?\nAnswer: -150*j**3*k - 2*j**3 - 2730*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/9)\/v*v*v*(v*v**2\/v)\/v*v*v**(1\/4)\/(v\/(v\/(v*v**(1\/7)\/v*v))))\/((v\/(v\/(v*v**5)*v))\/((v\/v**(3\/13))\/v))**(-21\/5) assuming v is positive.\nAnswer: v**(408931\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 4057800.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1916.4 + 1916. Let h = 10 - 17. Put h, -2, m in decreasing order.\nAnswer: m, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 5 (b) 2\/5 (c) 4 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9019*z + 20633*z - 2574*z - 9040*z - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/25 and 49\/465?\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h - 1. Suppose 5*y - 22 = -87. Let j = y - -19. Suppose -4*t + 3*t + 5 = 0. Let q(a) = -8*a + 1. Calculate j*p(i) + t*q(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 12*m**2 - 12*m + 13. Let t be s(-13). Suppose -f - 3*f + 16 = t. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0572989803 rounded to 5 decimal places?\nAnswer: 0.0573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(49) - sqrt(49)))\/(sqrt(1008) - -1*sqrt(1008)).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 1)\/(2\/(-4)). Let u = 5 + m. Let b be (-2)\/(-3)*(9 - u). Solve -4*y = -4*h - b, 4*h = 6 + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087536860 rounded to the nearest one million?\nAnswer: 3088000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -70 - (-9)\/(9\/(-2)). Suppose 2*c - 264 + 50 = 0. Let a = c + w. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 8, -9.\nAnswer: -9, 8, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -101647 - -1626?\nAnswer: -100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1157\/(-234)*-4 - (-2)\/9. Solve 5*u - 4*g + 32 = 0, u - 5*g - 1 = -z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 295630534 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1187 and 32335067?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*z + 2)*(-z + 0 + 0)*(4*z - 3*z - 3*z)*(-z + 2*z - 3*z).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**8\/5880 - v**7\/8820 - v**6\/630 + v**5\/420 + v**4\/12 - 2*v. Let o(p) be the third derivative of s(p). Factor o(q).\nAnswer: 2*(q - 1)*(q + 1)*(4*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h - 0*h. Suppose 2*b - 73 = -5*j, j + 0*b = h*b + 18. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(((t\/t**(1\/5))\/t)\/t)*t**(13\/3)\/t)\/(t*(t*t**(-3\/8))\/t)**(1\/8) assuming t is positive.\nAnswer: t**(5237\/960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1376 divided by -1376?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 101*i**2 + 5400*i - 5392. Determine x(1).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1379772215 to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 4*n + 15, -5*d + 2*n + n + 15 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 11 - 0) + 3 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2977)\/12)\/(114\/(-4)). Let d = 1036525\/57 - 18184. Let y = r - d. Find the common denominator of y and 67\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**3\/3 + 2893*g**2 + 119202*g - 749920\/3 = 0.\nAnswer: -43, 2, 8720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.176 - -0.17599993. Round o to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 + -114\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 332\/(-20) + 11 + (-6)\/(-10). Suppose 0 = -5*c + 8 + 17. Sort c, -2, g in decreasing order.\nAnswer: c, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 9 = -d, -3*d = 2*g - 2 + 19. Let f be 2*(g - -2) - 2. Suppose y + f - 25 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -3, 6, -5 in descending order.\nAnswer: 6, 5, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471294840?\nAnswer: 2, 3, 5, 23, 170759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 24. Let p be r(22). Let x be 7 - (0\/(-2) - p). Solve -5*q + 10 = -0*q, x*d - 5*q = -25 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -163, -168, -175, -184, -195?\n\"Answer: -b**2 - 2*b - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-699078)\/(-2453682) - 2\/7. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*u + 44*u + 48 = 0. Solve 19*g - 22*g = u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*w = -510*w - 10920 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + 3\/4 + ((-2940)\/(-112) - 26). Let o be (3 + (-57)\/15)*-10. Solve -i*b + 3*b = -o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.014 - -30.014. Is c greater than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15426)\/(-24) - 6\/8. Suppose -g = -3*l + 924. Let d = l - 373. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q + 26*q + 6*q = 22*q - 31*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*c**5*q - 1058*c**5 + 9*c*q + 8596*c wrt c.\nAnswer: -1420*c**3*q - 21160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, a: 1, f: 3}. What is prob of picking 2 p and 1 f?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from gjggpjppppzjpgpgg.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4637*p = 4826*p - 5481 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -154 - 179. Let m = -375.3 - u. Let o = m + 42. Put o, -4, 0.08 in descending order.\nAnswer: 0.08, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**5\/75 + 11*t**4\/30 + 16*t**3\/5 - 22*t**2 + 4*t. Suppose l(p) = 0. What is p?\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, 5\/3, 3\/8 in ascending order.\nAnswer: 3\/8, 5\/3, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3356\/(-16))\/(-3*(-6)\/(-72)). Let m = 120 + n. List the prime factors of m.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -4, 0.5 in descending order.\nAnswer: 35, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-1664)\/143 + 4?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, 8, 16, 26?\n\"Answer: o**2 + 3*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3. Let n(c) = c - 6. Let r(h) = -3*n(h) - 7*s(h). Suppose 4*q = -0*q - 28. What is the tens digit of r(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 0, -13, -11, -3, -8 in descending order.\nAnswer: 0, -3, -8, -11, -13, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 r when four letters picked without replacement from {c: 2, r: 10}?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from jjaajj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4 - 179*w**3 - 363*w**2 + 179*w + 362 = 0.\nAnswer: -2, -1, 1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344562 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.25 - 0.05. Let z = 0.074 - -10.626. Let v = 11 - z. What is the second smallest value in v, b, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + sqrt(1872) + -1 + (1 + sqrt(1872)*-1 - sqrt(1872)) + sqrt(1872)) - (-3 + (-1*1*sqrt(1872) - (-1*sqrt(1872) + -2))))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*z - 8. Let k(r) = -3*r**2 - r + 2*r + 34*r**3 - 1 - 35*r**3 + 7*r**2. Let b be k(z). What is the greatest common divisor of 15 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/(-18))\/((-5)\/68715)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c**2 - 65*c**2 - 14*c**2 - 57*c**2.\nAnswer: -151*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11261, -22602, -33943, -45284, -56625, -67966?\n\"Answer: -11341*o + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1717.033 and 1.36.\nAnswer: -2335.16488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000509 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 121121 (base 3) to base 11\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, u: 7}. What is prob of sequence auu?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((-205)\/123)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675792043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 53. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 36*q**2 - 152*q - 84. What is g(31)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1286*h + 4*h**2 + 640*h + 646*h - 23*h**2.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b + 13*b)*((-2*b - 2*b**2 + 2*b)*(0*b**2 - 2*b**2 + 3*b**2) + b**4 + 16*b - 16*b).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12282589, 24565178, 36847767, 49130356?\n\"Answer: 12282589*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 83*c**5\/5 + 5*c**2\/2 - 56. What is the second derivative of k(p) wrt p?\nAnswer: 996*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 14, 3 in decreasing order.\nAnswer: 14, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.086 + -20.114. Let a = q - -18. Round a to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -773 + 970. Let t = -78 + d. 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: What is 112549.6 rounded to the nearest one hundred?\nAnswer: 112500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-110))\/(2\/8). Let g = 24962 + -124417\/5. Let m = -79 + g. Which is the second biggest value? (a) y (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 432 + -567. Is 9 a factor of n\/(-6)*8*(-4)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 55*p. Let i(l) = 138*l - 33. What is s(i(v))?\nAnswer: 19044*v**2 - 1518*v - 726","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*i + 107*i = -v + 56, 0 = -4*v - 2*i + 246. Solve 69 - v = -g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*d**2 + 21385*d + 7130.\nAnswer: -5*(d - 1426)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.115 - -27.885. Let c = 29.59 - l. What is c rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -273 - -300. Let t = -8 - -11. Calculate the greatest common divisor of t and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124177 is divided by 106.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6330 + 6330. Let b + 2\/5*u**3 + 0*u**2 + 0*u = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 b when three letters picked without replacement from ffddbdbfbbbxbdbfc?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5 - 121*t + 123*t + 2.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3675 and 6352350?\nAnswer: 311265150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.9262 and 3.9.\nAnswer: 1.9738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 - 9*z + 74 + 7*z - 93 + 4*z.\nAnswer: 2*z - 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 301.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -849*t**3 - t**2 + t. Let n be (-10)\/(-14) - (-2)\/7. Let c be l(n). Let r = c + 3461\/4. Calculate the common denominator of 19\/22 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953134 is divided by 757.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.131, -5, 1\/4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/5 - 724*g**2 - 559586*g\/5 - 22651032\/5 = 0. What is g?\nAnswer: -1644, -83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2042 - -22?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/12)\/(21\/140)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 120*r + 476. Calculate t(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-53 + 9)*2*3\/(-12) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1778701 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 2*t + 3. Let k = -69 - -67. Let y be z(k). Solve -s + q = -0*q + 9, -2*s - y*q + 7 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*b + 9*b. Let q(n) = -2*n**3 - 35*n**2 - 15*n + 29. Let w be q(b). Let s(t) = t**3 + 5*t**2 + t + 2. What is s(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03314 and -729109075?\nAnswer: 729109075.03314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 65*w - 218*w + 0.\nAnswer: -153*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pepepttptstepqssttss. What is prob of picking 2 p, 1 s, and 1 q?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 47945.\nAnswer: 1\/9589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 times -0.098\nAnswer: -0.02058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 - 14*y**2 - 13*y - 20. Let t be j(8). Let m(f) = f**2 - 5*f + 7. Determine m(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10678.1698 rounded to the nearest ten?\nAnswer: -10680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426 divided by -2.\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.01?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 1908504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/48 and -49\/288294?\nAnswer: 2306352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -8, -50, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 2*z + 2. Let t be s(-4). Suppose -q = q - 5*k + 22, 0 = -5*k + t. Is (-99)\/q + 1\/2 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 28. Suppose 0 = 3*l - c - z - 45, -3*c = -12. Calculate the remainder when l is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 - 6*j**2 - 7*j + 8. Suppose v = 4*s - 1120 + 1109, 5*v = 3*s + 13. Give r(v).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 23*l = 30, -m = -3*l - 736328. What is m rounded to the nearest ten thousand?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 1\/12*q**5 - 1\/2*q**3 + 0 + 0*q - 188*q**2 + 1\/120*q**6 + 1\/24*q**4. Calculate x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369966726 to the power of 1\/2, to the nearest integer?\nAnswer: 19235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 151*l - 153*l + z, -27 = -5*l + z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1219*((-8788)\/(-513084) - (-2)\/(-33))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i**2 - 13*i - 60. Let k(d) = -3*d**2 - 5*d - 18. Let h(a) = 2*f(a) - 7*k(a). What is h(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 1:16 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/h**(-7)*h)*h**6*h**(-4)\/h**(5\/6))**(13\/2) assuming h is positive.\nAnswer: h**(-611\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1 - 2*d + 5*d + d. Suppose -3 = -2*s - 1. What is the units digit of g(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*i - 84 - 224 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(2\/3)\/y*y**4*(y**5\/y)\/y**(2\/3) assuming y is positive.\nAnswer: y**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 6*p + 4*t - 36, 4*p - 2*t = 34. Solve -3*a + p - 2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 36724126 and -0.015.\nAnswer: 36724125.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - (-12 + (31 - -22)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 61, 31, -1 in decreasing order.\nAnswer: 61, 31, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17177*s - 3206118 = 8889*s for s.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -4*p - 4*r - 8, 3*p - 24 = 3*r. Suppose 0 = p*m - 3*w, -4*w + 10 = 3*m - 11. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2\/8 + 3381*p\/4 - 13620 = 0. Calculate p.\nAnswer: -2270, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 50*s - 220 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1116378 minutes to microseconds.\nAnswer: 6698268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - ((-2)\/2 - 2). Suppose q*h + 2 = 0, -h = -2*w - 3*h + 2164. Let s = -41063\/38 + w. What is the common denominator of s and -77\/8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -176255726603167?\nAnswer: -176255726603169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 47, 0, 4 in increasing order.\nAnswer: 0, 2, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-30) + (-186)\/(-45). Which is the biggest value? (a) y (b) 0.12 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 26. Let m = 0 + 2. List the prime factors of -5*a*m\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/(20514\/(-4208) - (-30)\/16). Factor f - 1\/6*f**4 - 2\/3*f**3 - n*f**2 + 0.\nAnswer: -f*(f - 1)*(f + 2)*(f + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521052107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**2 + 2042214 - 17605*d + 10189*d - 291649 + 65573 + 1621178 = 0. What is d?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9218 divided by -1781.\nAnswer: -9218\/1781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -44602636.9 to the nearest 100000.\nAnswer: -44600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*(-1 + (-2)\/(-6)). Let b be 15\/12 + (-2)\/s. Let x = 1 + b. Solve -3*c + 3*h = 15, -3*c + x = 4*h + 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3 + 846*g**2 + 79524*g + 2491752 = 0. Calculate g.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 7 = -2*c, c + 3*c = -5*l - 13. What is the nearest to -0.1 in c, -0.01, -0.2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 2*u**6\/3 + 245*u**5 + 5713*u**3\/3 - u**2\/2 + 10362. What is the third derivative of l(c) wrt c?\nAnswer: 240*c**2 + 29400*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*25462940\nAnswer: -25462940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -12260.8141 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21748.57 grams in tonnes?\nAnswer: 0.02174857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/156 and 5\/188?\nAnswer: 7332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2584*s**2 - 39*s**2 + 3666*s**2.\nAnswer: 6211*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5650, 5641, 5632, 5623?\nAnswer: 5614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**3 + 2*k**2 - 2*k**2 - k**3 + 2*k**3 + k**3 + (2 + 0 + 1)*(-3*k**3 + 0*k**3 + 31*k**3).\nAnswer: 81*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x + 2*l, -2*x - 3*l + 4*l + 17 = 0. Calculate the remainder when x is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-19630)\/(-1208) - (15 - -1))*(-144)\/(-2). Let i = -30 - -61\/2. Which is the closest to -2? (a) r (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-5 - (8 + -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2. Let w(l) be the third derivative of -l**4\/8 + 2*l**2. Calculate w(t(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-46)\/((-1)\/(-176)*6730). Let p = -2\/673 - m. Factor p + 9\/5*k + 3\/5*k**2.\nAnswer: 3*(k + 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:42 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -148*j + 6. Let b be c(1). Let d = 166 + b. Calculate the remainder when 69 is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 + (-8005)\/(-110). Let x = a - 73. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 15 = 29. Calculate the smallest common multiple of 6 and -3 - (a + -10 + -10 + 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n**4 + 3*n**3 + n. Let m(j) = -29*j**4 + 1951*j**3 + 3935*j**2 + 1967*j. Let f(x) = -m(x) - 3*u(x). Factor f(k).\nAnswer: 5*k*(k - 394)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 3*u - 16, 5*u + 28 - 8 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2671 = -3*s - 2*y, 0 = -3*y - y + 8. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/((1976\/(-40))\/13)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0. Let x = -3954921 + 435044857\/110. Let g = 161\/5 - x. Is q < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.6752 + -0.8882. Let y = w + 0.213. Put 2, y, -18 in ascending order.\nAnswer: -18, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2055 in -2\/9, 2\/11, 13\/9, 0.5, -3\/52, -3\/2?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 10*r**3 + 43*r**3 - 1 - 8*r**3.\nAnswer: 45*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 4*r + 3*d + 1022, d - 1026 = -5*r. List the prime factors of r.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (25 + -7 + -4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.5695699 to one decimal place.\nAnswer: 105.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r. Let v(y) be the first derivative of 563*y**2\/2 - 66. Give p(v(a)).\nAnswer: 1126*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 1458*a**4 - 1191672*a**3 - 794880*a**2 - 176672*a - 13088 = 0. What is a?\nAnswer: -2\/9, 818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - (1 + sqrt(68) + sqrt(68)*-2) - (2 + sqrt(68)*1)) + sqrt(68) + (-3*sqrt(68) - sqrt(68))*-3 + 2)*-2)**2.\nAnswer: -224*sqrt(17) + 53316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 0 - 10*x**2 - 1\/300*x**5 + 0*x - 3\/10*x**3 - 1\/20*x**4. Factor m(k).\nAnswer: -(k + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.58*0.27\nAnswer: -0.1566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 52*k**2 - 2 - 224*k**2 + 10. Let w be x(-8). Round w to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 471073*f + 646107?\nAnswer: 471073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (1 + sqrt(68)))**2 + sqrt(17) + sqrt(17) - (sqrt(17) - sqrt(272)*-2)) + 3 + -4*(sqrt(17) + -3)**2.\nAnswer: -100 + 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -6. Let h(p) = -134*p - 20. Let n be h(q). Let x = -185 + n. What are the prime factors of x?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 574 + 2\/(-2) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 2*f + 2*f + f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 k, and 1 x when four letters picked without replacement from kzfxkfffffxkffz.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 + 6*m**2 + 3. Let a be q(2). Solve 1 = -4*w + 3*o - 0, -w = a*o + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.4 - -0.4. Let o = -1.5 - -2.2. Let g = o - 0.2. Which is the biggest value? (a) -0.5 (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 5, 3, 0.1151, -4.\nAnswer: -4, 0.1151, 2\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6210317?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - x - 24 = 0, -3*m - 5*x = -10*x - 66. Let j be -4*1*(-40)\/16. Let t(r) = -j*r + m*r + 117 - 117. Let o(f) = -3*f**2. Calculate o(t(z)).\nAnswer: -867*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + ((sqrt(343) - sqrt(343)*4)*-1)**2.\nAnswer: 7*sqrt(7) + 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*a + a**3 + 3*a**3 - 401*a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -3 - 0)\/3. Let c(f) = -6*f + s*f + 3*f + 6*f. Let m(j) = -11*j**2. Calculate c(m(t)).\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22224.151*-4.\nAnswer: 88896.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -27. Suppose -j = -3*g + 35. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)*(u**(-1\/4)*u)\/u)**(22\/9)*(u**(-1))**(-30)\/((u\/((u\/u**(6\/11))\/u*u*u*u))\/u**(-5)) assuming u is positive.\nAnswer: u**(277\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4212 less than or equal to 4091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((4*sqrt(88) - sqrt(88))\/sqrt(8) + (sqrt(495)\/sqrt(9))\/sqrt(5)))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(2\/(-4)*2). Let y = 1.5 + -1.5. Which is the closest to 0? (a) -5 (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 13*d**2 - 13*d - 8. Let f be t(-12). What is the third smallest value in 1, f, 1\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/41, 1, 2, -1521?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36999072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18991*r - 19004*r + 26 = 0. Solve 3*p + 9 = 0, -r*v - 3*p + 7 = 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1234*h + 14815. What is m(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 128*r + 271. What is j(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2435 - -7a3?\nAnswer: 3018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -11*j - 305. Determine f(36).\nAnswer: -701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65576 and 12400.\nAnswer: 101642800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -86048247.29 - -962?\nAnswer: -86047285.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, x: 4, r: 1, i: 7, f: 2}. Give prob of sequence in.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 2, 2\/9, 3, -2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1741557*k**2 - 2858946*k**2 + 0 + 0.\nAnswer: -4600503*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - -1)\/((-8)\/(-376))?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5090 is divided by 465.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -695*p - 1105 = -700*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1972 + 1612*a**2 + 328*a - 652*a + 324*a wrt a.\nAnswer: 3224*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*(-22534)\/(-50787) - (0 + 4). Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 4*f**2 - f**2 - 3*f**2 + 0*f**2 + f**2 + f**2 + 1 - 1 + (3*f - f + f)*(2*f + 2*f - 6*f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -5\/4, 2 in decreasing order.\nAnswer: 2, -5\/4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.4 and 81666057108?\nAnswer: 81666057109.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 0. Let p = d + 13. Which is the biggest value? (a) p (b) -2\/11 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(1104\/(-608)) + ((-20)\/72)\/((-20)\/12)?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4104174 rounded to three dps?\nAnswer: 1.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 43, 2 in decreasing order.\nAnswer: 43, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 262.556 * 753\nAnswer: 197704.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.845 + 0.155. What is the nearest to -6\/13 in -0.4, d, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z + 28. Suppose -4 = v + 8. Let s be -3*(-1)\/9*3. Let q(u) = -u. Let g(t) = s*w(t) + v*q(t). Differentiate g(a) with respect to a.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 17*v + 62. Let b be z(7). What is the greatest common factor of 5125 and b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 5*v - 2*v)*(5*v**2 - 16*v - 76*v**3 - 2*v**2 + 68*v**3).\nAnswer: -16*v**4 + 6*v**3 - 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -3\/4*b**6 + 0*b - 1 - 50\/3*b**3 - 7*b**2 + 0*b**5 + 0*b**4. Differentiate c(i) wrt i.\nAnswer: -270*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1683 = -1793*u + 1694*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58661\/60 + 4948\/5. Calculate the common denominator of -5\/8 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-13)*2*10\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 482030179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/(-3))\/5)\/(12\/(-6))*-27?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*o - 260*o + 90*o = -5*a - 84*o + 60, -2*a + 209*o + 24 = 0 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 622*f**5 + 2*f**2 - 561*f?\nAnswer: 37320*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 126 = -2*h, 4*h - 4*o = h + 189. Let l = 59 - h. What is the lowest common multiple of 40 and (l + 96\/20)*(-15)\/(-2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-90)*-51*(-63 + 69)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-8)\/(-18) - -1. Let c be 1\/(0 - (1 - 0)). Let r = c - d. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 8:20 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 19 = 4. Factor -4*x**4 + d*x**4 - 2*x**4 - 7*x**3 + 4*x**3 + 3*x - x**2 + 2.\nAnswer: -(x - 1)*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*p**3 - 2 + 2*p**3 - 2*p**3 + p**3 + (-6 + 3 + 4)*(-4*p**3 + 0*p**3 + 5*p**3) - p**3 + 0*p**3 + 3*p**3 to n*p**2 + o*p**3 + w + z*p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-9) + 16\/(-6). Let n be 5 + (-4 - -7)*(0 + t). Find m such that 12\/13*m**3 + 2\/13*m**4 + 2\/13*m**n + 32\/13 - 48\/13*m = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0 - 2)*3)\/(-1). Suppose 0 = -m - s + 2. Let u(z) = -z**2 - 4*z. Let i(a) = -a - 1. Let d(w) = 2*i(w) - u(w). Calculate d(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 80, 109?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 10*n - 12. Let a be j(-8). What is z in -3 - 6*z**a + 4*z**2 + 3 + 4*z**4 - 2*z**3 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/4 (b) 5 (c) -37 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1617088.6604 and -1.5.\nAnswer: -1617090.1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35425057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92012 to the power of 1\/2, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8247 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Suppose 2*q - 2*x = -3*x + d, -4*q + 2*x = -12. Which is the second smallest value? (a) q (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 808, 1605, 2402?\nAnswer: 3199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58810 is divided by 1337.\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 9*w**2 - 8*w - 39. Suppose 33*g + 208 = -19*g. Let z be d(g). Round z to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1729 = 21*v - 2296 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 12 = 3*x, -v - 32 = -12*x + 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/6)\/(6\/9). Suppose 10*v - 6 - 24 = 0. Let i(l) = 2*l**2 - l + v*l**2 - 10*l**2 - 4*l**2. Determine i(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 48*b + 261*b + 117*b**2 + 2*b**3 + 211*b + 53*b**2 + 648 + 136*b = 0.\nAnswer: -81, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 2*u**2 - 4*u + 3. Let t(y) = 5*y**3 - 9*y**2 - 16*y + 12. Let h(p) = -9*f(p) + 2*t(p). Let k(i) = i - 1. What is 2*h(v) - 6*k(v)?\nAnswer: 2*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from hnnnnhnh?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 6*y**2 + 0*y**2)*(26 - 8 + 6).\nAnswer: -168*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(13) - sqrt(91)\/sqrt(7)) + sqrt(13) + sqrt(143)\/(sqrt(11)*-4))*3)**2 + -3.\nAnswer: -27*sqrt(13)\/2 + 1149\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0774 - 0.007. Let k = a + -0.07. What is k rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 1 + 2)*(-1 + 1 + 1) + 1 + 2 - 1)*(-1 + 4 + 3*k - 1) in the form a + l*k and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 + -31013030323?\nAnswer: -31013030123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w - 4088. Suppose 2*b = -0*b + w. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28512)\/6237)\/(100\/35).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.1 + 19. Let x(s) = s**2 + s + 2. Let o be x(0). Which is the nearest to o? (a) v (b) 0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16447*n**6 - 2*n**4 - 16801*n**2?\nAnswer: -1973640*n**3 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7669402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -20*y - 77. Give m(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 88730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22950)\/(69462\/227))\/((-10)\/12).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101413051 (base 6) in base 13?\nAnswer: -497a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 117681 or 117647?\nAnswer: 117681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.3. Suppose -17 = -3*s - 2. Which is the nearest to 1? (a) w (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.409666 rounded to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -3*m - 2*m. Suppose 2*h = 0, c - 5*h - 13 - m = 0. Suppose d + c = 3*d. Calculate the highest common factor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816.9873ml to litres.\nAnswer: 0.8169873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*q - q = -129338, -2*q - 129341 = -5*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -70?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40742 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*l = -20, -6*l = -3*l + 15. Suppose t = 3*t - 8. Suppose t*o = 12, -a + o + c = -2. Solve b + 18 = -5*g + 47, 0 = -a*b - 3*g + 35 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 1. Let n(r) = -13*r**2 - 7*r - 5. Let a be n(-4). Let q = a + 1667\/9. Is q greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 6. Let n = 30.9 - 35.9. Which is the smallest value? (a) v (b) -2 (c) n (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10416 divided by -62\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16436 divided by -26\nAnswer: -8218\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 21136?\nAnswer: 232496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 28 = 4*k, -3*t + 1 = 5*k - 38. Let a(y) = y**3 - 5*y**2 - 7*y + 1. What are the prime factors of a(t)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585*n = 581*n - 5*a + 68, 2*n + 2*a = 34. Solve -n*l + 21*l = -4*r - 8, 4*l = 4*r - 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0*u - 6. Suppose -5*y - 3*w + 94 = -4*w, -u*y + 59 = 2*w. What is the remainder when 55 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (84 - 28 - -16)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-7 + 6) - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, h: 2, w: 5, c: 4}. What is prob of picking 1 w, 1 p, and 1 c?\nAnswer: 160\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 times -0.03?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 3*x**2 + 5*x - 2*x + 1 + 0*x. Suppose 3*p = -z + 8, 5*p = z + 37 - 13. Calculate the remainder when 13 is divided by d(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-2 + 4)) + -5 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/3 + (-1 - (-3)\/9). Suppose -4*w + 4*b = 6 + 10, 4*b = -2*w - z. Let n = 27 + -51\/2. Which is bigger: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7392 divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2407625 and 8\/447535.\nAnswer: 190202375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 1\/44, 4, 7\/3, 7, -2, 0.22?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 divided by 431?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2359 + 2373 = 2*f, 8 = -2*u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 276942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.8 in 0.3, -0.1292, 5, 0, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 11:12 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 0*t + 0*t**2 + 4\/3*t**3 + 3. Let h(s) be the second derivative of s**3\/6 + s + 333. Give h(n(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -66*t**2 - t - 13. Let j be m(-9). Let b = 58796\/11 + j. Find the common denominator of -20\/3 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1673637 and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -299 + 2385\/8. Let o = 7 - 11. Which is the third smallest value? (a) o (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 35523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15299*u + 15256*u - 161*u**3 + 529*u**3.\nAnswer: 368*u**3 - 43*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 2*f**2 + f + 1 - f. Let x(j) be the third derivative of 0*j**3 + 0*j + 1\/24*j**4 + 8*j**2 - 7. Give -q(a) + x(a).\nAnswer: -2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 3.2. Let s be 4*((-104)\/(-48) - (-4)\/(-6)). Let c be (2\/3)\/(s\/(-90)*-35). What is the closest to q in 0, c, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 13 + 1438*m**3 - 8*m**2 - 13 + 43.\nAnswer: 1438*m**3 - 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20004 + -7?\nAnswer: 18886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -42*2) + -1. Is (22\/3)\/(8\/y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*a**2 - 90*a + 7*a**2 + 16*a**2 + 76*a wrt a?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 6. Let s = -8 - -2. Give z(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3 + 7. Let z be g*3\/(-6) + 1. Suppose z = -3*l - 0*l + 24. Solve 4*d - l*d - 8 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -404, -608, -804, -992, -1172, -1344?\nAnswer: -1508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(20)\/sqrt(4) + 2 + sqrt(45) + -2).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 460842 <= -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a century in months?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a microsecond in nanoseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2120213 - 1?\nAnswer: -2120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c - 377. Let u be y(-46). Let i(d) = -101*d**3 - 2*d**2 + d. Let s be i(1). Which is smaller: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 0)\/((-18)\/24). Calculate the highest common divisor of i and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 29*k**2 + 3*k - 37. Determine v(29).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3624 (base 7) in base 3?\nAnswer: -1211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 86*g + 2505. Calculate y(63).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 3)*(95\/(-10) - -12). What is the closest to -1\/5 in -2\/15, 0, p?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 11010110000001?\nAnswer: 11010110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 545, 535, 509, 461, 385?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbibpuibuubipvibbbp. Give prob of picking 1 p and 1 b.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c. Let h(s) be the second derivative of 7*s**4\/6 - 48*s. What is h(t(l))?\nAnswer: 224*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -15. Let v be (-3 - -3) + 2 + b. Suppose -4*t + 6 = -s, 3*t - 1 - v = 2*s. Solve 3*p - 5*q = 0, -q + t*q + 18 = -3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**8\/56 + 143*n**5\/20 - n**4\/6 - 41*n**2\/2 + 3*n + 281. Find the third derivative of g(z) wrt z.\nAnswer: 120*z**3 + 858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 15. Suppose 0*l = l. Let f be r(l). Let j = 7 - f. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d + 3*d - 11*d. Let i(h) be the first derivative of -2 - h**2 + 2 - 2. Determine i(t(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 6*a**2 + 5. Suppose -5 = 10*x + 5. Let z(y) = -9*y - 15. Let g be z(x). Determine f(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109 + 119. Suppose 19 = -i*c + 11*c. Factor -32\/3*b**2 - 6 - c*b - 5\/3*b**3.\nAnswer: -(b + 3)**2*(5*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.7. Let v be ((-1)\/(-25))\/(68\/(-8)). Let g = v - -257\/425. What is the smallest value in i, g, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*l**2 - 1358*l - 52*l**2 + 1367*l + 413)*(-2*l**3 + 3*l**3 + 0*l**3).\nAnswer: -3*l**5 + 9*l**4 + 413*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 41*t = 9*t + 210. Put -10, -4, t, 1 in increasing order.\nAnswer: -10, t, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0124 and -313?\nAnswer: -3.8812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-94)\/(-16) + (-1)\/(-8). Which is the smallest value? (a) -3 (b) j (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/22)\/(-2) - ((3021700\/1936)\/(-41) - -42).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 + 284. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*r**2 - 25*r**2 + 33*r**3 - 39*r**3 + 11*r in the form y*r**3 + f + j*r**2 + s*r and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 128 - 7*g - 59 + 8*g**2.\nAnswer: 8*g**2 - 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*r + 4, 3 = 5*q - 4*r + 5. Find the third derivative of -49*p**3 - 22 + 11 + 21*p**q + 11 wrt p.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3533807 and 218.017.\nAnswer: 3534025.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**5\/60 + z**4\/8 + z**3\/2 + 5*z**2. Let v be u(-3). Suppose 2*m = 3*s - 243, 5*m + 331 = v*s + s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 123143*p**3 - 2774*p - 55 wrt p?\nAnswer: 738858*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3155 and 5696530?\nAnswer: 3594510430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(30\/16))\/(4\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/13 + -51\/52. Let d = 24 - 20. What is the closest to 0 in d, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10200330 (base 4) in base 2?\nAnswer: -100100000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1715\/156 + -144\/13. What is the closest to 0 in -4, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4000 divided by 20.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15973 + 15983. Let i(d) = 3*d**3 - 2 + 0 - d + 1 - 3*d**2. Let u be i(3). Calculate the greatest common divisor of s and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 7*p - 57. Let h = p + 27. Calculate the highest common factor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 188 * -4.04027.\nAnswer: -759.57076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -332856*k**3 - 2*k**2 - 2422*k + 55 wrt k?\nAnswer: -1997136*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187433346.\nAnswer: 2, 3, 79, 395429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*i + 3 + 7 = 0, 3*z - 3*i - 18 = 0. What is the third derivative of 17*v**2 - 7*v**2 - 10*v**4 - 7*v**z - 4*v**2 wrt v?\nAnswer: -240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.21764 - 4.21764. Put f, 2\/3, -0.3, 1\/5, 0 in decreasing order.\nAnswer: 2\/3, 1\/5, 0, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 2*o**2 - 15403. Let j(y) be the second derivative of 185*y**3\/6 + y. Determine g(j(m)).\nAnswer: 740*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:02 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -4, -4640, -6, 4, -1 in increasing order.\nAnswer: -4640, -6, -4, -1, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 20 = 0, 5*u = 5*h - 2*h + 50. Suppose 2*f - 3 = 3. Suppose -4*m + f = -m. What is the greatest common divisor of u and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-44 - (-29 + -1) - (9 + -1)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = i - 30. Suppose c = -4*c + 2*v + 25, -5*v - 16 = i*c. Let q be c - (3\/(-12) + 153599948\/(-16)). Round q to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126*j**5 + 2*j**4 + 2*j**2 + 30*j?\nAnswer: 7560*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -5. Let o = -1.1363 + 0.0863. Let l = 10.05 + o. Which is greater: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7 - 278*k**4 - 10 + 171*k + 886*k**4 + 0 wrt k.\nAnswer: 7296*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202 - 1?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 49*u - 188*u + 56*u + 44*u + 45*u. Let z(d) = -2*d**2 + 6. Calculate z(k(c)).\nAnswer: -72*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4)*k)**(-22)*(k\/((k*k**(-5))\/k*k*k))\/k*k*k*k**(2\/5)*((k*k\/((k*(k*k**(3\/4)\/k)\/k*k)\/k)*k)\/(((k*k**4*k)\/k)\/k))**40 assuming k is positive.\nAnswer: k**(-921\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005545 to five decimal places.\nAnswer: 0.00555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*-0.01.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w = 356 - 198 - 216. Let x(o) = -o - o**2 - 2*o**2 + 3*o. Give x(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 90*k. Let v(q) = 4*q**2 + 2*q. Let z(w) = -75*w**2 - 40*w. Let a(c) = 20*v(c) + z(c). Give g(a(o)).\nAnswer: 450*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*k + 3*a + 975, 5*k = 4*a + 1628. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0.4, 5, 1\/4, 14.7, 2197.6?\nAnswer: 14.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4555585 is divided by 455550?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -106 * 0.05\nAnswer: -5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31412, 31372, 31270, 31076, 30760, 30292, 29642, 28780?\n\"Answer: -5*v**3 - v**2 - 2*v + 31420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/2355723?\nAnswer: 2\/2355723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 5, 2\/257 in ascending order.\nAnswer: -56, 2\/257, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8581759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 786 = 3*b, -25*b = -28*b - 4*n - 786. Is b smaller than -260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 18163 = 2*f - 12922 + 1923, -4*j = 0. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - 7)*15037\/10936?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 14963?\nAnswer: 59852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2 + 10. Let r be (2\/f - 84\/(-8)) + 3. Suppose -4*y - 18 = -2*h, h + 2*y = -0*h + r. Which is smaller: h or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqgqzzzjkjc. What is prob of sequence jc?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (9 + (7 - 14)) - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*(-2222)\/308)\/(-2*7*12\/168)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -7 + 3 + -3 + (23 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 116, 131, 164, 221, 308, 431?\n\"Answer: w**3 + 3*w**2 - w + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1696*s - 3029 - 4855 = -119820 for s.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 4 + -19 + 24 - (-1 - 42)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 35\/5 - (0 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657*g + 2003*g - 673*g - 673*g - 69*g**3.\nAnswer: -69*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*6 + 0 - sqrt(121)\/(sqrt(11) - (sqrt(44) - sqrt(132)\/sqrt(3))))**2*6.\nAnswer: 34914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-3 + -12 + 2). What is the greatest common factor of 272 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from qamdqaozaaoad?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -98*u**2 + 11*u - 2. Let y be n(-12). Let a be y\/10 - 6\/(-10). Let x = a - -2809. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*v + 3*p + 4, -1 = -v - 3*p. Let q(x) = -x + 7. Let s be q(6). Let u be s*(-4 + 6 + 3). Put v, u, 3 in decreasing order.\nAnswer: u, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 15*v + 55. Let t be o(-3). Let n(k) = 7*k**2 + 91*k - 9. Is n(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wodw when four letters picked without replacement from ofxfhdhww?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/9))\/h)**(-16\/9)\/(h**35\/(h*h**(-3))) assuming h is positive.\nAnswer: h**(-2981\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (1 - -3)) + -2 + -17 + 20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -254 - -290. What is the smallest common multiple of 18 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*x - 5*o, 3*o - 48 = 106227*x - 106222*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -520.6 (b) 1\/2 (c) 1056\/5 (d) -4 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**3\/3 + 13487*i**2\/3 - 384644*i = 0.\nAnswer: -6828, 0, 169\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 255.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*t + 24, -t = -2*m - 1 - 2. Suppose g = t*g - 20. Find the third derivative of -4*u**5 - g*u**2 - 3*u**5 + 8*u**5 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5696, -5693, -5688, -5681, -5672?\nAnswer: -5661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 244*p**2 - 3*p - 1. What is the hundreds digit of l(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 11. Let t be a(5). Let g be 6 + (-7 - (-4 - t)). Let r = g - -26. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361053 is divided by 51039?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95)*1 - sqrt(95))*4 - sqrt(95))\/(sqrt(80) - sqrt(80)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1026, 1144, 1348, 1632, 1990, 2416, 2904?\n\"Answer: -w**3 + 49*w**2 - 22*w + 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*f - 416*f - 577*f**3 - 184*f**3.\nAnswer: -761*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 85 = -19. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/9 + 96769078*u\/9 + 2341063614242521\/9.\nAnswer: (u + 48384539)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 + -73db6?\nAnswer: -73d91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1) + (18 - -2). Let o be (g\/8)\/((-2)\/8). Let v be (-44)\/o + (-18)\/(-30). Solve -4 - 16 = v*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3958*x**2 + x. Let t(w) = -3*w**2. Calculate s(t(i)).\nAnswer: 35622*i**4 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -11. Solve 0 = 4*d + s*f + 19, f + 5 = -2*d - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51231931.\nAnswer: 17, 3013643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14538 + 18*h**3 - 11*h**3 - 5*h**3 - h**3.\nAnswer: h**3 + 14538","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 51. Solve -i - 2 = -8*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14795180*l*t**5 - 3*l*t**3 - 68*l*t**2 - l*t + 1336 wrt t?\nAnswer: -887710800*l*t**2 - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**7\/252 + o**4\/8 - o**2. Let v(i) be the second derivative of c(i). Let l(m) = -2*m**2. Calculate l(v(q)).\nAnswer: -200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000543 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 9*u**2 + 49*u + 31. What is z(13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 24.5327721 and 1807.\nAnswer: 1831.5327721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46771105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o**2 - 483 + 483 - o.\nAnswer: 39*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136*l**3*p**2 - 23*l**3*p*x**2 - 2*l**3 + 17*l**2*p**2*x**2 - 2*l**2*p**2*x - 121*l*x**2 - 3*l wrt l.\nAnswer: -816*p**2 - 138*p*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 6*c + 3*c + c + 2 - 2 + (1 + 3 - 3)*(-3*c + 3*c - 2*c) + 5*c - 1 + 2*c - 2*c in the form w + j*c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 8*h**2 + 9*h + 1. Let o be u(7). Suppose -l + o = 14. What is the common denominator of (l - 0) + 82\/60 and -73\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*m + x - 110, 2*m + 5*x = 85. Let c be (0 - -1) + m + -1. Suppose -c = -5*l + 80. What is the remainder when l is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 444 - 492. Let w be 36\/48*b\/(-9). Solve -w = -t - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2624 = 28*t + 2148. Let l(o) = 4*o**2 + 4*o. What is the remainder when l(3) is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 760*r + 26598.\nAnswer: 2*(r + 39)*(r + 341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, q: 3, u: 1, a: 2, s: 4}. Give prob of sequence sqax.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + v + 1. Let i(j) = 9*j**2 - 3*j + 7. Let h(z) = -i(z) + 4*p(z). Let a(f) = -4*f**2 + 2*f - 1. What is 7*a(d) - 2*h(d)?\nAnswer: -2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96\/(-1 + (-2)\/(-1)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 0*j - 32 + 0*j**2 - 10\/3*j**3. Let y(z) = 8*z. Calculate s(y(v)).\nAnswer: -640*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 624 + 157. What is the remainder when q is divided by 60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -564685982 from 3085.\nAnswer: 564689067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -413998.83 from -5.\nAnswer: 413993.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4*(-553 - -555))\/((-1)\/25)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b. Let y(l) = -8*l - 36 + 17*l + 36. What is m(y(t))?\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(3)*1 + -5 - ((sqrt(147) + sqrt(3) - sqrt(3)) + 0)).\nAnswer: -6*sqrt(3) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from sggwwwsswssgsgswsgl.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 38*l**2 - 1079*l + 39961. Calculate k(40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -v - 2*x - 32, 0 = 3*v + x - 19. What is the least common multiple of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 552 - 22*l - 4*l**4 + 26*l - 551 - 2*l**2 to r*l + a*l**2 + y*l**4 + k + j*l**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4\/10 + 24\/15 and 3 - 2\/(-4)*14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -37. Solve 4*q - 4 = 3*s + 10, -7 = j*s - 3*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 25*h**2 + 4. Let u(s) = -s**2 + s - 1. Let y(i) = 5*i**2 + 8*i - 1. Let o(n) = -3*u(n) - y(n). Let x be o(-6). What is the tens digit of z(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4234 + -4237. Sort 0.3, -1\/3, q, 12, -2\/13.\nAnswer: q, -1\/3, -2\/13, 0.3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -921537.77 rounded to the nearest ten thousand?\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40823.91 and 12.\nAnswer: -489886.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 3*h + 1. Let p be i(-2). Factor -2*u**p + 2*u**4 + 2*u**3 - 2*u**2.\nAnswer: 2*u**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 5*u - 8. Let k be w(7). Suppose -6*r + 2*r = f + 49, -k = -2*f. Which is smaller: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*(j*(j*j**(-3)\/j)\/j)\/j)\/j*j)\/j**(10\/11))\/(j**(2\/79))**44 assuming j is positive.\nAnswer: j**(-3496\/869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -12. Let o = -1.3 + n. Let y = -2.3 - o. Sort y, 1\/2, -0.2 in increasing order.\nAnswer: y, -0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 49*j**2 + 98*j + 191. What is g(-47)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(153)*2 - (sqrt(153)*-2*-3 + sqrt(153)))\/(-2*sqrt(1296) - sqrt(1296) - (sqrt(90)*1)\/sqrt(10)))**2 + -4.\nAnswer: -5459\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-1\/5)*a)*a**(-3)*a)**(-5\/3) assuming a is positive.\nAnswer: a**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1967\/14 + 1\/(-2). What is the greatest common divisor of 28 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1644 divided by -822?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 854381511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -331213 (base 4) in base 2?\nAnswer: -111101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(4\/13)*(m**(-5\/6)\/m)\/(m**(14\/9)\/m) assuming m is positive.\nAnswer: m**(-43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/9 - 0. Let j = 13\/36 - h. Factor -j - 1\/2*g - 1\/4*g**2.\nAnswer: -(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -6. Let n = -1197.985 - -1193. Let m = n + -0.015. What is the smallest value in 1\/2, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-1008)*9*(-14)\/(-36)*6\/(-4).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2855 - 1973. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315 and 36933255?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (130 - 19 + 169)*(-5*g + g - g) in the form v*g + m and give v.\nAnswer: -1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, 20, 60, 90, 104, 96, 60, -10?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 4*o - 15 + 43, 5 = -5*f + 3*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and -443?\nAnswer: 531.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 21*l**2 - l + 16. Suppose -3*i + 99 = -5*z, 16*z - 15*z + 13 = 4*i. Calculate x(z).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31\/20 - -7\/20. Let p = -8\/15 - i. Let k = -2.8 + 3. What is the closest to -1 in 3\/2, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 51, 4.651, 3\/8, -2, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 6*w**2 + 14*w + 1. Let c be h(10). Suppose -t - c = -2*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 248, 257, 266, 275, 284?\n\"Answer: 9*v + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.1 - 14.5. Is -2\/9 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.71039ng in micrograms?\nAnswer: 0.07671039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27, -12, 17, 66, 141, 248?\n\"Answer: b**3 + b**2 + 5*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 6*l**2 + 2*l - 7. Let o(x) = -2*x - 9. Let m be o(-4). Let g be (-1 - -2)*m*-1. Let h = g + -6. Give q(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 times -6143?\nAnswer: 718731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*w - 4*y, 4*w = -y + 39410 - 39428 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -52. Suppose -10*j - 61 = -w*j. Suppose -62*z + j*z = -1. Let v(k) = 4*k**3 - 2*k + 1. Give v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -23. Let r be (4\/(-10))\/(11\/(-495)). Let g = r - u. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2228814416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 3. Suppose 0 = 4*x - 3*x - 2. Let h(b) = -b**2 + 2*b - 1. Let j be h(x). What is the closest to -0.1 in j, d, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129763490 divided by 10?\nAnswer: 12976349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**4\/4 - 3*c**3 + 6*c**2 - 4*c - 1638. Give s(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43740 is divided by 863.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 720, 1430, 2140, 2850?\n\"Answer: 710*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 132*n**3 + 38*n**4 - 300*n**2 - 145*n**4 + 128*n**4 - 96*n.\nAnswer: 3*n*(n - 2)*(n + 8)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 281 by -1884.\nAnswer: -281\/1884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.803 + -6.79. Let g = q + 0.139. Round g to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccscrtrcscccccttcr. Give prob of picking 2 r.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3732*z**2 - 5453*z + 7648*z - 4656*z wrt z?\nAnswer: 7464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3128 and 184.\nAnswer: 3128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -762 - -774. Let r(g) = g**2 - 10*g - 14. Give r(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0.1, -1\/6, -1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0891+5670\nAnswer: 5670.0891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.76 - 0.24. Let x = w - -14.3. Let m = 4.3 - 0.3. Which is the nearest to x? (a) 2 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 56, 0, -8153?\nAnswer: -8153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/49, -3, -2, -0.01 in decreasing order.\nAnswer: -0.01, -2\/49, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 16*b**2 + 4*b + 9. Let p(a) = -8*a**2 - 2*a - 5. Let f(j) = 2*j**3 - 27*j**2 - 44*j - 26. Let m be f(15). Calculate m*p(u) - 6*v(u).\nAnswer: -8*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5160, 5152, 5158, 5184, 5236, 5320, 5442, 5608?\nAnswer: 5824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(68) + sqrt(68))**2*5 - (sqrt(68) + 4 + 2 + sqrt(68))) + -3 + 4.\nAnswer: -4*sqrt(17) + 3055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/8)\/(2\/(-8)). Suppose 11 = 2*f + r. Let w be 20*(-18)\/(-1800)*0. Solve -f*i + 3 + 17 = w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 23*l - 3. Let i be z(3). Let b be 252\/i + 2\/11. Determine f so that -2\/9*f**2 + 0*f + 0 + 2\/9*f**b + 0*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 2 = -5*x - 28 - 60, 3*x - 5*l = -8*l + 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9331 - -9824. What is the remainder when r is divided by 243?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -10.4.\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.1 - 12. Let h = -3 - -4. Let u = h + j. Which is the nearest to u? (a) -0.4 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2044*t + 1439*t - 1582*t + 2186*t.\nAnswer: 4087*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 4. Let x be b(2). Suppose 2*i + 5*k + 35 = 4*i, 5*i = x*k + 56. Let h be -2 + (3 + -2)*i. What is the greatest common factor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 7241408.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + -9 + 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 != 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3025 and 523809.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 117 times 9\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015803311 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*q**3 + 32*q**3 - 62*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (483 - 109 - 117 - 134 - 87384*z - 123)*(0*z + 2*z**2 + 0*z) as s*z**2 + r*z + n + l*z**3 and give l.\nAnswer: -174768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9462?\nAnswer: 2, 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19054 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 16 - 13 = -3*o, 23 = o - 4*k. Suppose o*j + 63 = 4*j. Let d be (14\/j)\/((-2)\/30). What is the greatest common factor of d and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 339 + -339. Solve 8*v - 14 - 18 = j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/5447 + 38123\/16341. Let h(x) be the first derivative of 0*x**2 + k*x**3 + 20 - x. Differentiate h(m) with respect to m.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21707629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21145 + -21140. Solve 2*u - 7 = -p*z, -4*z - 12 = -u - 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 14*n**2 - 13*n + 30. Let a be t(13). Suppose -25 = -6*x + x. Suppose -u + 56 = -x*d, -3*d - 109 - a = -4*u. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2. Let p be 5\/12*(-30)\/(-75). Let n(a) be the second derivative of a - p*a**3 + 0 + 0*a**2. Determine n(b(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -13. Suppose -4*g + 5 = -2*g - 3*v, 4*v + 7 = i*g. What is the nearest to -1 in -5, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvjeeujxeje. What is prob of picking 1 j and 1 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsrrooyohhr. Give prob of sequence sroy.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**3)**(-3\/11))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2173\/(-287) + (9 - 2\/1). Which is the nearest to 0.1? (a) -0.4 (b) -9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leltec. What is prob of picking 1 l and 1 c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from {s: 2, w: 1, t: 3, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6*s + 20 = 23. Which is the closest to 3? (a) 622 (b) -4 (c) s (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**6\/2 - r**5 - 87*r**3 + 100. Find the third derivative of n(i) wrt i.\nAnswer: -180*i**2 - 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 + -6113?\nAnswer: -612a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 - (9 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -198.9 - -190. Let t = -8.7 - z. What is the second smallest value in 2\/7, -0.11, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22\/5*c + 12\/5*c**2 - 2\/5*c**3 + 12\/5 = 0. What is c?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11826721*v**2\/4 + 278559*v\/2 - 6561\/4.\nAnswer: -(3439*v - 81)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4317165.\nAnswer: 3, 5, 113, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001809514 to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7668 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 <= 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*r - 13643. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6*v = -2*i - 344, v - 4*i = 79. Let m = 142 - v. List the prime factors of m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*i - f, -4*i - 34 = 4*f - 2*f. Let a(r) = -r**3 - 7*r**2 + 8*r - 1. Let q be a(i). Let t(c) = -6*c - 1. Give t(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*f + 10*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h - 10. Let j = -81 - -28. Let k = j + 57. Solve -17 = -h*x - 4*l, 2*x - 16 = -2*x - k*l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 4. Suppose 14 = 3*l - 4*y, 2*l - t*l + 6 = -y. Let n = 6 - l. Sort -1, 0, n in decreasing order.\nAnswer: n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3415436505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32a40 (base 11) in base 7?\nAnswer: 256321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) -1\/3 (c) 4 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -22*d**2 + 37*d - 118. Determine x(4).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 - g + 2. Let i(h) = -4*h**2 - 1 + 2*h**2 + 3*h**2. Let k = 15 + -13. Let y be (-3)\/1*2\/(-6). Determine k*i(n) + y*m(n).\nAnswer: -n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 9*o**2. Let t(x) = -x**2 - 7*x - 4. Let f be t(-5). Let k(z) = 6 - f + 2*z**2. Calculate g(k(l)).\nAnswer: 36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -278 - -8285. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*x = 105*x + 10. Solve -2*v - 3*h + 13 = 0, -v - v + x*h = -8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 12*h**2 - 8*h + 10. Let b be a(2). Let k be (-1 - (-5)\/3)*1071\/b. Solve -12 = -13*x + k*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-155)\/(-124) - (-7)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -23212435634580 - 0.7\nAnswer: -23212435634580.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -168598*(5\/(-20))\/(3\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 196 in 2516, 2\/9, 3\/5, -3\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18670.\nAnswer: 2, 5, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011017 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20171844*i*k**4 - i*k**2 + 6*i*k - 46*i + 12457 wrt k?\nAnswer: 242062128*i*k**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252852 divided by -6?\nAnswer: -42142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 405*v**5 + 6795*v**4 + 6755*v**3 - 179575*v**2 + 309680*v - 144060 = 0. What is v?\nAnswer: -98\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 22. Let v be (38\/(-3) - -4)*-3. What is the remainder when 83 is divided by y(v)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3072508 is divided by 544?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9\/45*-2*250\/5\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -1712?\nAnswer: -1713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*u = u - 282, 0 = -3*s + u - 165. Suppose -4*l - 95 = 213. Let j = s - l. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 18*d - 35. Let u be x(-5). Sort u, 4, 0.34.\nAnswer: 0.34, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 4*c = -3*z + 25, -9221*z = -4611*z - 4612*z + 3*c + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(-4)\/(-48)*4. Suppose 5*b = -0*w - x*w + 937, -w = -1. Let t = b - 24. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:28 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r + r - 8*r + r. Let d(o) = 85*o. Determine g(d(p)).\nAnswer: -170*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -n - 4*f - 15, -n + 133 = -3*f. Suppose -n = 2*b - 133. Solve -h + 8 = p, -b*h = 3*p - h - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-19)*v)\/(((v**(-1\/50)*v*v)\/v)\/v) assuming v is positive.\nAnswer: v**(-899\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 5*o + 95 = 0, 15*h - 146 = 3*o + 320 - 31 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.067 - -1.903. Let m = 0.03 + k. Let w = -2.99 - 0.01. Which is the third biggest value? (a) w (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 14*u**3 - 1379*u**2 + 688*u - 192. Give j(98).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -19. What is the units digit of 0\/4 + 3*g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.60198747 from -5.\nAnswer: -8.60198747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.2962.\nAnswer: 1.1848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 6*o + 232. Solve -4*u - 17 = -o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 14 + 14 + (2 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + k + 2. Let b be i(2). Let w(v) = 22*v + 291. Let m be w(-13). Let t(h) = -5*h + 28. Let y be t(6). Sort b, y, m in descending order.\nAnswer: m, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (17 - (11 + -2)) + -2 + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 979 or 976?\nAnswer: 979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81\/28, -2, -2\/21, -3, -8, 1.\nAnswer: -8, -3, -81\/28, -2, -2\/21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 + -54. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2303\/6 + -384. What is the third biggest value in -4\/19, r, 3?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*v**2 + 36973*v - 36973*v.\nAnswer: 91*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 149 + 159. Calculate the greatest common divisor of 55 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.33, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83*z**4 + z**2 - 589*z wrt z?\nAnswer: 1992*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847)*2*1*-5.\nAnswer: -110*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -14. Sort t, 2, 4 in increasing order.\nAnswer: 2, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 + 421920*v**3 - 8901246230*v**2 + 17801226720*v - 8900402405.\nAnswer: -5*(v - 42191)**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6965.05938 to the nearest one hundred.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*h - 0*h. Let k(r) be the third derivative of 5*r**4\/24 - r**3 - 7*r**2. Let v be k(5). Is v greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 2*k - 8. Let a be l(6). Let g = a - -16. Let y = 4 - g. What is the highest common factor of y and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1443 - -404?\nAnswer: 2402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 7*g**2 - 7*g + 4. Let p be b(6). Put -5, -1, p in decreasing order.\nAnswer: -1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 3*h**4\/20 - 3*h**2\/10 + 10. Let m(i) = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3396281 and 272335?\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44455398?\nAnswer: 2, 3, 13, 41, 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a**3 - 15*a**3 + 75*a**3 - 26*a**3.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -21*q - 3. Let k(d) = -189*d - 28. Let a(p) = 3*k(p) - 28*m(p). Suppose -b + 0*b + 1 = 0. Is 8 a factor of a(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 4\/42*3. Let a = -0.35 + 0.4. Let z = -0.05 - a. What is the closest to z in -0.4, w, -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1177 by 107.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 1542*m + 1749. Is o(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - 3*g - 2*g**4 + (0 + 2*g**2 + 0)*(2*g**2 - 4*g**2 + 0*g**2) - 53*g**4 + 23*g**4 - 88*g**4.\nAnswer: -124*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b - 8. Let c(x) = -11*x + 17. Let n(f) = -4*c(f) - 9*m(f). Let i be n(-3). Suppose i*p + 5*p - 4764 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 32 - 352 = 0. Let t = m - 30. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-24)*312\/(-234))\/((-11)\/(-110))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10120212020 - 22211212?\nAnswer: -10220201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 107?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 5*v - 2110. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 2*l + 10. Let k be d(4). Let z = 2 + k. Let r(w) = -w + 11. Calculate the lowest common multiple of r(7) and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 123671813 and 0.4.\nAnswer: 49468725.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - -36. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.1 (b) -993\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - f + 17, f - 5*f = b - 8. Let r = -3 - b. Suppose 4*j + 7 = 2*h - 11, -3*j + r = 0. What is the remainder when 118 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*g = -11, -f - g = -8 + 3. Suppose 2*r + f*r - 23275 = -2*z, -5*r + z = -23290. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -677, -1344, -2011, -2678, -3345, -4012?\n\"Answer: -667*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w + w)*(19 - 19 + 3*w**3).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1137297528420976 + 1137297402375407.8999802. Let o = 126045582 + h. Let z = -13.9 + o. What is z rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 11. Let n be (-3)\/((-9)\/(-2))*3. Let g(l) = 1 - 3 - 1 + 8. Let h(b) = n*o(b) + 5*g(b). What is the first derivative of h(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 + 3*c - 3. Let u(d) = d - 1. Let z = -177 - -180. Let p(m) = z*u(m) - r(m). Let a(q) = q**2 - 8. Determine p(a(t)).\nAnswer: 2*t**4 - 32*t**2 + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z. Let r(g) = 2*g + 1. Calculate -3*n(c) + 4*r(c).\nAnswer: -c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*r - 62 - 34, g = 4*r + 17. Suppose 5*s = 5 - g. What is the second smallest value in -3, 1, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(2*(-2)\/4). Suppose -2*a + s = -45. Let d = a - -41. Calculate the remainder when d is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**6\/180 + t**5\/5 + 55*t**4\/72 - 13*t**3\/6 + 4*t + 177. Determine n so that x(n) = 0.\nAnswer: -3, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -262 + 304. Let u = 2443 - 2110. What is the remainder when u is divided by o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6017 and 14222.\nAnswer: 156442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 2:57 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/6*1*1*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*j + 86*j + 24*j as n + z*j and give z.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/9, 2\/5, 95, -1.4?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-476)\/(-51)*(3*5 + 0). What is the highest common divisor of z and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1880752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 122968*p + 2459328\/5.\nAnswer: 2*(p - 307416)*(p - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*u - 11. Suppose -4 = -7*a + u*a. Put -2, 4, a in descending order.\nAnswer: 4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 949 less than -177163.682?\nAnswer: -178112.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24188, 24315, 24522, 24809, 25176, 25623?\n\"Answer: 40*h**2 + 7*h + 24141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*c + 286, -2*c - 2368 = -5*q - 974. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbjhbj. Give prob of picking 2 j.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 1 + 3)*(4 - 4 + v) + 6*v - 2*v - 3*v + (0*v + 3*v - 2*v)*(-3 + 6 - 2))*(-904 + 1473 - 795)*(0 + 2 - 3) in the form s*v + n and give s.\nAnswer: 904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**3 - 3*i**3 - i - 14*i**2 + 18*i**2 to t*i + z*i**3 + l*i**2 + h and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125885*n + 63757*n + 62141*n.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.241 - -2.759. Put 5, 0, a in increasing order.\nAnswer: 0, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 - 32*k + 54. What is the smallest common multiple of 198 and g(-14)?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2005076 (base 13) to base 5.\nAnswer: 4433232300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7561 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -119\/365 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -43 + (40 - (23 + 9))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**2\/2 - 2*b - 5597. Suppose k - 3 - 3 = 0. What is c(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 172\/(-18)*(-36 - -28). Let b = w - 4510\/63. Is 6 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**3 - 219307 + 438590 - 219283.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326*m**2 + 660*m**2 - 333*m**2 - 29*m**3 - 8*m**3 - 7*m**3.\nAnswer: -44*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.146*-0.033.\nAnswer: 0.004818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.053 (b) 4 (c) 25 (d) 1\/2 (e) 10 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + n + 9 = -9, 5*p - 3*n - 24 = 0. Suppose v - 2 = -4*w + 11, -3*w - p*v + 12 = 0. Does 11 divide (w + -1)*132\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(272) + 0 + -1 + sqrt(272) + sqrt(272) - sqrt(272))**2 + (-6*sqrt(68)\/sqrt(4) - 2*sqrt(153)) + 5 + -1.\nAnswer: -3263 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32 + 19?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 2. Suppose 6 = -4*i + 30. Let j(g) = -40 + 43 + 0*g + g. Determine i*j(f) - 7*o(f).\nAnswer: -f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 5*o**2 + 4*o + 4. Give b(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 12. Suppose -9 = -s*k - 3*p + 4*p, 0 = 4*k - 2*p - 10. What is the third derivative of 10*c**k - 3*c**5 - c**2 - 6*c**2 wrt c?\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1582 divide 42214088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 8:25 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7 - 3 = 0. Suppose -4*h + 10 = -b*h. Suppose -4*c - 12 = 0, 0*y - h*c = -4*y + 35. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -8. Let y be ((-6)\/(-9))\/(2\/p). Solve y*j = -2*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -595*a = -568*a - 459. Solve -a*x - 8 = -21*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 20*o - 3*o - 285 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*l + 1 = 230*l - n + 9, -8*l - 54 = -5*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*a)*(-5 - 3 + 3)*(-3 + 2 + 3).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5278862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*s - 16. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16780 + 5686. Let w = u + 133213\/12. Let z = 459938\/15 + -30658. Calculate the common denominator of w and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -143, -119, -75, -5, 97, 237, 421?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -p + 3269, -599*h + 5*p = -596*h - 9847. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 76*r - 82. Let n be w(1). Let b(x) = 4*x - 4. Let y(d) = d. Let z(f) = -b(f) + 5*y(f). Give z(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/36 + (-64)\/(-36). Suppose -b = 4*x - 38. Let q(p) = 4*p - 1. What is the tens digit of q(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 9. Let j(v) = -2 + 2*v**l - v**3 + 0*v - 2*v + 6*v**2. What is the units digit of j(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 11936*s**2 + 1173504*s + 28385280.\nAnswer: -4*(s - 3080)*(s + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 33*f**2 + 8*f - 68. Does 50 divide l(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - m**2 - 275 + 275. Let j(x) = 5*x**2 + 4*x. Let p(y) = -12*b(y) - 3*j(y). Let g(h) = 6*h. What is p(g(o))?\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((((a*a**(2\/15))\/a)\/a)\/a)\/a*a)\/a)\/a)**(5\/4))**(2\/11) assuming a is positive.\nAnswer: a**(-29\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m. Let i(g) = 9498*g. Give h(i(j)).\nAnswer: -47490*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t + 31. Let f be b(5). Let m = 4 + f. Suppose 0 = 5*y - 2*k - 22, 2*y - 4 = -2*y + m*k. Solve 3 - y = -3*z - 2*c, -5*z = -5*c + 20 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 10 - 10. Suppose -5*d = 5*w - 66 + 16, y*w + 37 = 3*d. Solve 0*n - n = -3*s - d, 2*n - 16 = 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**6 + 7*v**2\/2 + 17. What is the second derivative of x(p) wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from goooggogeogogo. Give prob of picking 4 g.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -1, -25, 1, 3.\nAnswer: -25, -1, 1, 3, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 675156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*d - 10*d - 3*d + (-1 + 1 + 1)*(d + 1 - 1).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**2. Let k(w) be the third derivative of -w**5\/60 - w**2. Give p(k(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*i = 221*i + 215*i + 234 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247356803 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 7:41 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601924040 a multiple of 5220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -82*u - 72*u - 151 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-48)\/288 + (-218)\/(-30) and 79\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -5619\/43?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) -10 (c) 5.4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -2*y - 6. Let t be (-164114)\/(-28) + y + 4. Let a = t + -5874. What is the common denominator of 91\/20 and a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 9:44 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -1291.\nAnswer: 129.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415*g + 402*g + 8 = -18. Suppose 2*o - d = d + 18, 25 = 5*o + 5*d. Solve o - 3 = t + a, -7 = -g*t - a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28043495*f**3*r + 30478249*r + 2 wrt f?\nAnswer: 84130485*f**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 697 and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 155816 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 + 0*t**2 + 0*t**2)*(-692 + 990*t - 155*t + 692 + 1600*t).\nAnswer: -4870*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130449?\nAnswer: 3, 11, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19129 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -289644.5 - -289645. Let y = -5.3 + 5. Which is the nearest to 2? (a) -1 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/9140 and 13\/8226.\nAnswer: 82260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 10. Suppose -11 + 37 = u*o. What is the remainder when o is divided by (-7 + 2)\/(-3 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 - 104. What is the second biggest value in w, 0.2, -0.02?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50253 (base 8) in base 11?\nAnswer: 14574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/(-12) + -2 + 14\/6. What is the closest to 1\/6 in a, -3, -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88131701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -46809, -46813, -46817, -46821, -46825?\n\"Answer: -4*p - 46805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -32230 at least -64461\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9104*n**4 - 3*n**3 - 58*n**2 - 470 wrt n.\nAnswer: -218496*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 24*g - 3. Let p be z(5). Let s be (-1 + 4)\/(3\/p). Calculate the highest common factor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 2*h**2 + 2*h + 959. Suppose -2*o - 4*o = 0. Is x(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**4 - 18*d**2*j**2 + 156*d**2*j - 4*d*j**2 + 2*d*j - 54*d - 529*j**2 - 4*j + 2 wrt d.\nAnswer: -48*d**2 - 36*j**2 + 312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -282 + 1131\/4. Let r = 0.2 + -4.2. What is the third smallest value in n, r, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438153133 a multiple of 4763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6437050 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 15*j**3 - 4*j**2 + 9. What is the hundreds digit of c(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4638339 to the power of 1\/2, to the nearest integer?\nAnswer: 2154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - 0.3. Let c be ((-54)\/(-28) - 2)*4. Let a = 0.3 + 0.2. Put c, a, k in descending order.\nAnswer: a, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -291, -799, -1565, -2601?\nAnswer: -3919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -4\/5, -3, -2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10*k**2 - 5 + 11402*k + 1 - 11397*k. Give z(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + p**3 - 60 + 2*p**4 - 24*p + 329*p**2 - 22*p + 49*p + 31 in the form z*p**4 + h*p**3 + t*p + g + k*p**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 29 = 2*y - 0*j, 0 = -4*y - 3*j + 79. Which is smaller: 23 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34067089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8*a - 149. Calculate the remainder when r(-30) is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160333 + 480989 - 160328 - 6*g**2 + 2*g**2 - 160325.\nAnswer: -4*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 4266. Suppose 3*q = -3*h + p, -q - 5*h - 2320 = -6*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 96*v - 5 = 98*v, 0 = 2*v - 7*v + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-2)*(-40)\/(-140)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 50*f + 18. Let z be k(-2). Let i = z - -133. What is the remainder when i is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95556*q - 191131*q + 95573*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1646 = -3*q + 1612, 0 = 2*d - q - 58. What is the greatest common divisor of 16604 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-16 + 31 - 7 - -32).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + 3*q + 9. Give c(-6).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*a + 3*c - 251901 = -162*a, 3*a + 2*c = 251892. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/21016 and -10\/44659.\nAnswer: 357272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/y**(-2))\/y)\/(y*y**(-1)))\/(y**(4\/9)\/y*y**(-4))*(y*y**(-7)*y*y\/(y*y**(3\/7))*y)\/(y*y*y*y\/(y**(2\/5)*y))**45 assuming y is positive.\nAnswer: y**(-7174\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*n**4 + 2*n**3 - 37662*n**2 + 138520?\nAnswer: 12*n**3 + 6*n**2 - 75324*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -1d9?\nAnswer: -1ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 2*g - q - 3, 4*q - 20 = 0. Solve 4*y + 4*j + 8 = 0, g*y = -2*j - j - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/10)\/x**(-2\/9)*(x**(-1)\/x)**(15\/8) assuming x is positive.\nAnswer: x**(-653\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045\/30 + 2\/12?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 6 = -3*x, -398*x + 396*x = u - 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -1\/5, -179, 1\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -16*w - 34. Let d be v(-2). Which is smaller: d or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -4, 3\/5, 4\/3, 39, -110, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527*l + 572*l**3 - 3*l**2 + 527*l.\nAnswer: 572*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 16992.027 to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k - 111. Let m(j) = 6*j - 56. Let h(u) = 5*m(u) - 3*y(u). Is 2 a factor of h(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -153507, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 6*x**2 - 3*x + 2. Let p be a(-6). Solve -p = -15*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -145*88\/2552*(-3*(-2)\/10)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + h**2 + (2 - 2 - h)*(-2*h - 9*h + h))*(21*h**3 - 48*h**3 - 29*h**3).\nAnswer: -616*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36623*x**3 - 18335*x**3 - 18301*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 700 + 420. Suppose 4*a - z = -n, 3*a + 0*a = 5*n + 863. List the prime factors of a.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/3*2*-2. Solve d + 1 = -r + 2*r, -5*d - m*r = 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -1 (c) 3\/25 (d) -0.1 (e) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (6072\/(-32))\/23.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (254\/4 - (-6 - -4))*-2. Let r = l - -197. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4 + 0 - 1 + 0 - 5 + 3 + 1 + (-2 + 2 - 2)*(-3 + 3 - 1) - 4 - 1 + 2)*(21*r**2 - r**2 - 3*r**2).\nAnswer: -85*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 2, y: 1}. What is prob of sequence yb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36365722 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49979719 divided by -7?\nAnswer: -49979719\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1674 and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 10 + (-3432)\/(-6) + 2?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1533 + 1395 - 2699)*(0*o - o - 6*o).\nAnswer: -1603*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -379118 times 9?\nAnswer: -3412062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/28)\/(1\/(-52)). Let z be (-19)\/g + 1\/(-3). Which is the third biggest value? (a) z (b) -2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30001 + 926 = 1163*z for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 12 = -5*g. Solve -3*h - 4*m - 1 = 1, -m = g*h + 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a + 42. Let l(q) = 3*q - 42. Let x(p) = 4*l(p) + 3*o(p). Does 7 divide x(30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w - 6. Let x be 1*((-6)\/w)\/(-1). What is the derivative of -x + 2 + 2*c - c - 2 wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l - 5172 + 10336 - 5164.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 145? (a) 0.1 (b) 16\/3 (c) 20\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(72) + sqrt(72) + (-1*(sqrt(72)*-2 + sqrt(72)) - sqrt(72))))\/(sqrt(28)\/((sqrt(7) - sqrt(252))*4)).\nAnswer: 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g**(-1)*g))\/g**4)\/(g*g**(-1))**(-14))**47)**(-46) assuming g is positive.\nAnswer: g**6486","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -11. Let i(d) = d**3 + 5*d**2 + d. Let l be i(y). Let u be -1*(-5 + l\/3). Solve 6 = -5*x + u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 293 - 298. Let v(r) = -4*r + 2. Let a(q) = -3*q + 11. Let m(k) = 2*k - 8. Let i(u) = -3*a(u) - 4*m(u). Calculate x*i(t) - v(t).\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/105 + (-145125)\/(-91203)?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4793 (base 11) to base 15.\nAnswer: 1cd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2152*z**2 + 1074*z**2 + 1080*z**2 - 13. Let k(w) = -w**2 + 5*w. Give k(d(q)).\nAnswer: -4*q**4 + 62*q**2 - 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 26620700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 3:26 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*r = 159*r - 60. Solve 5*b = -3*d + 7, 0*d - 4*b - r = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6. Let l be 2*-1 - b - 1. What is the second smallest value in l, -1\/4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + 1 + 5 - 2*(sqrt(243) + 0)**2.\nAnswer: -480 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 + -47. Solve 0*z = -s*z - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 851\/5 + 8\/10. Let a = z - 35. Suppose 3*g - a = -25. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (130\/(-12792))\/(990\/(-3564))\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 11*i + 18. What is l(10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a second in milliseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -6*l**2 + 2*l - 1. Suppose -2*y - 2 + 0 = 0. Let a = 12 + -2. Let z(k) = -k. What is a*z(o) + y*v(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/540)\/((-7)\/((-420)\/(-8)))*24\/(-40)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 3:39 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/4 + (-2)\/(-8). Suppose -b*k - 51 = t, k + 3*k = -4*t - 60. Let h be 5\/(-10) + (-2)\/k. Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4011 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a**3 + 283*a**2 - 1025*a + 980. Let v(h) = -2*h**3 - 94*h**2 + 342*h - 328. Let t(z) = -4*u(z) - 14*v(z). Suppose t(l) = 0. What is l?\nAnswer: 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3*r**3 + d**3 + 4*d*r**2 - 45*r**5 wrt r.\nAnswer: 12*d**3 - 2700*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 1 + -1)\/1. Suppose -3*f + 1404 = 2*v, o*v - 3054 + 982 = 4*f. Is 20 a factor of (v\/9)\/(4\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.299673cm?\nAnswer: 2.99673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjj. Give prob of sequence jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0 - 1 - 5*l + 9*l - 3*l. Give c(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1090\/3, -2\/3, 4, 10 in increasing order.\nAnswer: -2\/3, 4, 10, 1090\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = -561. Let o = a - 111. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n + 1. Suppose -4*z - 3*x = -43, 6*z - 2*z = -2*x + 38. Let l(p) be the third derivative of p**4\/6 - p**3\/3 + 32*p**2. Give z*h(g) + 3*l(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2711380319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 6:57 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17008 - -17008. Let a(h) be the third derivative of 0 + 9\/20*h**5 - 1\/10*h**6 + 20*h**2 + 1\/2*h**3 - 3\/4*h**4 + d*h. Suppose a(m) = 0. What is m?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1925 = 169*i + 216*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.133 - -8.133. What is the nearest to r in 5\/3, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3411, -5298, -5647, -4458?\n\"Answer: 769*o**2 - 4194*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-1)\/((-5)\/35). Let o = -5 + x. Is -20 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 28 = 16*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 - 3 - 2)*(3 - 1 - 3)*(-3 + 3 - 2*l) - l + 3*l - 3*l)*(160*l - 9024 + 9024)*(2*l - 2*l + 2*l**2).\nAnswer: 960*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y + 55. Calculate the remainder when y is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/81 + (16\/6 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 + 0 = 0. Suppose -3*a + 6 = -2*k + k, 5*k - 3*a = 6. Suppose 0 = h*i + 2*s - 4, 1 = -k*i - 2*s + 9. Solve 9 = i*w - 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61708 is divided by 162.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3*(330\/(-21))\/(7 - (-2388)\/(-336)) and 792.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4506705 by -23845.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k**5 - 3021421*k**3 - 31830308*k wrt k.\nAnswer: -100*k**3 - 18128526*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -131*a + 2717. What is t(24)?\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 5*m + 6816 = 6900 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3490267*y**2. Let x(k) = 9*k. Give i(x(j)).\nAnswer: -282711627*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 2*h**2 - 2*h + 3. Let o be l(2). Let n = o - -1. Suppose q + n - 3 = 0. Let s(b) = -b**2 + 2*b - 2. Calculate s(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a - 8*a + a - a - 4*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.051 (b) 3 (c) 493\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -13 - -10 - (0 - (-1 + 4)). Let a(r) be the first derivative of -r**4\/4 + 4*r**3\/3 + 3*r**2 - 3*r - 11. Let p be a(5). Solve -p*y + y = g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 18 = -3*p, -4*l + 14 = p - 2. Suppose 0*b = l*b + 4*z - 1164, 3*b - 4*z = 1140. Suppose b = 7*x - 3*x. Does 37 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 (base 10) in base 14?\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2. Let d(g) be the third derivative of g**4\/24 + g**3\/6 + 3*g**2 + 79*g. Determine d(u(r)).\nAnswer: 3*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22868 is divided by 11375.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/8 + 215547*r\/4 - 107775.\nAnswer: 3*(r - 2)*(r + 143700)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 937*j**2 + 103*j - 727. Is n(33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296723 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 9:50 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 11*d**6\/60 - d**5\/10 + 83*d**4\/8 - d**3\/3 - 2*d**2 - 76. What is the second derivative of x(w) wrt w?\nAnswer: 132*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3661 and 11627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1147.93 - 20.9881605.\nAnswer: 1126.9418395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105993321 is divided by 226?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 5, 4*w - 45 = -11*q - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/7 + 69*b + 1422\/7.\nAnswer: 3*(b + 3)*(b + 158)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -193 - -295. Let v be s\/((-1)\/(-1)) + (-4 - -2). Calculate the greatest common factor of 80 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3600603 is divided by 9919?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, y: 1, c: 6, j: 4, q: 1, p: 1}. What is prob of picking 1 j and 1 p?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q + 5 + 19. Let k = -3.9 + 3.8. Suppose 4*j - 2*j - 3*g = 11, -4*j - 5*g + 11 = 0. What is the second biggest value in q, j, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77305 is divided by 308?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:47 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 4*z**2 - 14 in the form x*z**2 + p*z + f and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**3\/6 - i**2\/2 + 2*i. Determine u(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 193943 = -62903. What are the prime factors of o?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) -6 (c) 3\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -11. Suppose 0 = u*a + 17 - 85. What is the remainder when a is divided by (-1)\/5 - 31\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (sqrt(8)\/sqrt(4)*-6 + sqrt(2)) - (4*sqrt(242) - sqrt(2)).\nAnswer: -37*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -237.0331 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324789626?\nAnswer: 2, 7, 37, 491, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -78. Suppose 0 = -12*c + g*c + 160. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-156)*-13*2\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -170.7 - -171. What is the closest to -2 in 7, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuoou. What is prob of picking 1 u and 1 o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5577 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 311 + -210. Let r = g + -110. Which is the nearest to -1\/2? (a) 1 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/7 - 3018*m**4\/7 - 1109494*m**3\/7 + 21926930*m**2\/7 - 96694896*m\/7 + 75880480\/7 = 0. What is m?\nAnswer: -764, 1, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -30. Calculate the smallest common multiple of 5 and s*3\/(1 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 277 or 1.8?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/14)\/(4\/(-28)). Suppose 1 + 11 = -a - 4*u, 16 = -3*a - 2*u. Let n = a + 1. Sort n, k, 9 in increasing order.\nAnswer: n, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 383\/5. Let j = -247 - -95. Let p = -1370\/9 - j. Sort d, 0.5, p in decreasing order.\nAnswer: 0.5, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4 + 2. Let j = x - -4. Suppose -u + j = -y, -u = -2*u + 3*y - 8. Which is bigger: 6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 2. Let p = 30 + -39. Let j = p + 9. Which is the biggest value? (a) 1 (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273 is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3304298 and 133?\nAnswer: 439471634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/7*(29\/986)\/(9\/51).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 a when four letters picked without replacement from {k: 4, a: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1612776 or 1612774?\nAnswer: 1612774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77 - -12?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -851 + 2888. Let x = -6 + -64. What are the prime factors of (x\/(-15) + -4)*t?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v. Let p be d(3). Let u = p + -1. What is the remainder when 66 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4 - 1300*g**3 + 107556*g**2 - 313628*g + 207368 = 0. What is g?\nAnswer: 1, 2, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.9744 + -0.0256. What is the second biggest value in -2\/13, 3\/2, g?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 266 + -49. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 44\/(4 + -8)) + -34 + 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 3*c**2 + 4*c + 4. Let r be t(4). Suppose 3*h - 6 = 2*h + 5*l, r*l + 1 = -3*h. Let b(o) = 36*o**3 + 2*o**2 - 1. Is b(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and 11.9.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-56))\/(1248\/728))\/((-3)\/(6*-316))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-100)*-3 + 0. Let h = 26792 + -26790. Do h and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58\/13? (a) -2 (b) 28\/5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p + 18 = 0. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (16 + 9 + 3 - 9).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c = -50*c - 1, -4*u - 2*c = 10. Put u, -22, 60, -4 in ascending order.\nAnswer: -22, -4, u, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.45*0.0275\nAnswer: 0.012375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/41)\/(252\/48888*194)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*v**4 + 5*v**2 - 478*v + 14495 wrt v?\nAnswer: 12*v**3 + 10*v - 478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.068 and 20271.\nAnswer: 20271.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42866 + -3?\nAnswer: 42863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2161 rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2513 + 3540. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/(((-7)\/4)\/(26521\/(-9644)))?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -42479 divided by -34\nAnswer: 42479\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-23.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 2\/9 (c) 0.8 (d) -2\/101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -504, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 + -2) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**7\/2520 + n**6\/360 - n**4\/6 + 2*n. Let x(w) be the third derivative of q(w). Find the second derivative of x(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99924 - 22243. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*v + 14850 = -237*v for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 2, s: 2, g: 4, n: 3}. Give prob of picking 2 j.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (0 + 1) - 6. Let b(p) = 5 - 6*p + 7*p**2 - 2*p + p**3 + 0*p**3. Let t be b(v). Solve 0 = -5*n - z - 1, 1 = -4*n + 4*z + t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 431\/4 + -107. Sort 1, -0.5, j in ascending order.\nAnswer: -0.5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/15)*q)\/(((q\/(q*q**2))\/q)\/q) assuming q is positive.\nAnswer: q**(73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -35\/2, -16, -0.1, 42, 2\/955?\nAnswer: 2\/955","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -977353, -1954712, -2932071, -3909430, -4886789, -5864148?\nAnswer: -6841507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -136 + -26?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 821 - 7*q - 396 + 2*q**3 - 5*q**2 - 414. Calculate a(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + -1)*6 + -5)**2 - -6*-3*sqrt(80)*-5.\nAnswer: -828*sqrt(5) + 14701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 39. Is (3\/(-2))\/(0 + b\/24712) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3285.51 - -3264. Which is greater: 1\/4 or s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1024*a**5 + 248*a**2 wrt a?\nAnswer: 61440*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16495074?\nAnswer: 2, 3, 137, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3396 is divided by 161?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 101 = 27. Let f = g - 12. Suppose -4*u - 4 = -3*h + h, -4*u - f = 2*h. Put 0.5, 2, u in decreasing order.\nAnswer: 2, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 54972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 1836 = -0*u. Let k = u + 686. 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: Sort 5, 562, -5, 464.\nAnswer: -5, 5, 464, 562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349, 350, 351, 352, 353, 354?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.845618 rounded to 2 decimal places?\nAnswer: 11.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2 - ((0 - -2) + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 203*v**3 - 4*v + 7. List the prime factors of w(3).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scpylxp. Give prob of sequence cx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h + 3*d - 14, -10 = -3*h + d. Solve -5*o = 10, -4*o + 2 = h*u - o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-63)\/(-126)*(1 + (-5)\/9). Is -3.25 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*v - 805 = -378*v + 459 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*i = -17 - 13, 4*y - 52 = 4*i. Suppose 0 = -f + y + 432. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -5, -3, 176, -16 in descending order.\nAnswer: 176, 3, -1, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 at least 0.0025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2156*q**5 - 4396*q**4 + 3104*q**3 - 7072*q**2\/7 + 1088*q\/7 - 64\/7 = 0. Calculate q.\nAnswer: 2\/11, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*182\/(-2964)*-19.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20650 - 25746 = -14*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290758563?\nAnswer: 3, 32306507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/16*(-49473)\/2. Let f = t + 6173. Find the common denominator of f and -59\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*d + 9, -1 = -5*d + 4*d + 2*j. Suppose -d*a = -3*a. Sort 3, -3, a.\nAnswer: -3, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62737*y**3 - 57*y**2 + 10*y.\nAnswer: 376422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/99 and 77\/423.\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -792457*-0.6.\nAnswer: 475474.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/3, 0.5, -3, -2\/23?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.69 - 116.31. Let a = c + 49. Let q = a + 68.26. Round q to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 16. Let m = x + 6. Let n be m - 3 - (-6 - 2). Solve -n = -2*r + s, 5*r - s - 14 = s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/151 or 281.33?\nAnswer: 281.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 11. Let m(v) = -53*v - 1265. Let u be m(-24). Suppose -x - 16 = -u*q. Solve q*p = 2*j, -p + 26 - 8 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4080)\/(-306)*9\/30*4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uub when three letters picked without replacement from ucb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = -9*l - 40816. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -0.5 (c) -2745 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7009 + 22*g**3 - 7032 + 14040.\nAnswer: 22*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 143*o**2 - 9*o - 11. Calculate z(-1).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-10))\/((-24)\/(-15))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*t**2 + 10*t**2 + 5*t**2 + 11*t**2 + 12 to s*t**2 + i + y*t and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 2*a - 24*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-3)*(61 - 58). Let a(g) = g**2 - 3*g - 3. Determine a(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.716932 and 0.1742.\nAnswer: 0.891132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 c, and 1 q when three letters picked without replacement from {c: 5, i: 4, d: 1, y: 2, q: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + (-38)\/4)\/((-10)\/4) + -5.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 134 = -5*p, 4*p + 0*p + 3*x = -116. Let h = p - -34. Let u(w) = -w**2 + 12*w - 6. Does 10 divide u(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(931) + -5*(0 + sqrt(931)))*3 - ((5 + 2 + sqrt(931) + -1)*-3)**2.\nAnswer: -8703 - 840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 99336508 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, q: 1, b: 5, f: 2, s: 4}. Give prob of sequence bsf.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 526.795 years?\nAnswer: 52.6795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmkkmmykynmm. What is prob of picking 1 n and 2 m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k - 12 = -2*v, 5*v = -3*k + 30. Find the second derivative of 58*l**3 - 28*l**3 + 4*l**4 - 30*l**3 - v*l wrt l.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/11 + 182*p**2\/11 - 184*p\/11.\nAnswer: 2*p*(p - 1)*(p + 92)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -84*(18\/54 + 1\/6). Let b = u - -42. Suppose f - 78 - 34 = b. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9979101km to centimeters.\nAnswer: 99791.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**5\/240 + a**4\/96 + 4*a**2 + 1. Let m(r) be the second derivative of u(r). Solve m(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -164 - -164.0042. Round z to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -10054095.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2920 = -190538*i + 190392*i for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -3 + -1*(sqrt(48)\/sqrt(4) - (5 + sqrt(3)*-2)))*-2)**2.\nAnswer: -96*sqrt(3) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -676 = -130*u + 117*u. What is the remainder when 166 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-14\/3)*c)\/c*c**(-4\/7)\/c*c*(c**(-1))**(-1\/2) assuming c is positive.\nAnswer: c**(-199\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*y = 1049*y - 4310 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 264728351*b**5 + 2*b**4 + 506513473*b**2 wrt b?\nAnswer: 15883701060*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 11 (b) 7 (c) 22 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21.3 and -0.057?\nAnswer: 21.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 i, and 1 u when four letters picked without replacement from rnyrununni?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.507 to two dps.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51066326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 y when three letters picked without replacement from fufffyfrffuryyyyryfy.\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*g = 0. Suppose 0*l = -5*l + 15. Suppose -b + l*b - 96 = g. Find the common denominator of 65\/2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 721 divide 7164577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1780 and 534.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*h - 666 = 45*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*656\/(-13243)*25\/40.\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 16\/3*y**4 + 2*y**2 - 2*y + 512\/9*y**3 + 4\/15*y**5 + 1\/180*y**6 + 0. What is o in v(o) = 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21582 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13003 (base 6) to base 15.\nAnswer: -89c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 590660860 to the nearest integer?\nAnswer: 24304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = 3*n + 27. Let l be n\/(-18) - (-12)\/(-54). Let u = 6 - l. Solve -2*g = -2*x - u - 2, -x = -2*g - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-20)*24*(-184)\/(-69)*(-7)\/84.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - o**2 - 5*o + 0*o**2 + 6. Let x(z) = -z**3 - 2*z**2 + 5*z + 2. Let n be x(-4). Let t = 9 - n. Calculate s(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 less than 2243\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4 (b) -7728 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + j**2 - 5 + 0 + j. Suppose -3*i + 9 = 3*a, i + 14 = -4*a + 11. Let m(c) = 2*c**2 + 5*c - 9. Calculate i*r(y) - 3*m(y).\nAnswer: -y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i**5 - 2602*i**4\/5 + 19578*i**3\/5 + 381262*i**2\/5 - 1371618*i\/5 + 63756 = 0.\nAnswer: -21, -15, 1\/4, 46\/15, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462828342?\nAnswer: 2, 3, 29, 677, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-2))\/(5\/(-15)). Solve -x = d*x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76 * 4.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -521260?\nAnswer: 521265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1369*b**3 + 2 + 364*b**3.\nAnswer: -1005*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7)*(1 + 0). Let y = -64.9 + 65. Which is the closest to y? (a) 2 (b) v (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6484 + 7130. Calculate the greatest common factor of k and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6648381814 to the power of 1\/2, to the nearest integer?\nAnswer: 81538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*x + 0*x = 24, 24 = -4*g - 3*x. Let y(c) = 2*c**2 - 7*c - 5. Let v(h) = -4*h**2 + 13*h + 9. Calculate g*v(s) - 11*y(s).\nAnswer: 2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -1\/30*p**5 + 0*p**3 - 16 - 1\/12*p**4 - 3*p**2 + 0*p. Let b(z) be the second derivative of g(z). Factor b(s).\nAnswer: -2*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 1725983749?\nAnswer: -1725983748.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 15*c + 121, 0 = -2*c - 732*i + 737*i + 6 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - 321*l + 8508. Determine g(49).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-27)*21\/(-70)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7b - -18d5?\nAnswer: 1858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/1740 and 103\/31899072?\nAnswer: 159495360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -9*z**4 - 429*z**3 - 1845*z**2 - 1659*z + 774 = 0.\nAnswer: -43, -3, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65212090 and 16.\nAnswer: 521696720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 - 15*t**2 - 25*t - 9. Let g be b(9). What is the second biggest value in -5, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 2\/3 + (-175)\/(-21). What is the greatest common divisor of 20 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1010101?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.981 rounded to zero dps?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 128581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.13398 and -517332.\nAnswer: -517332.13398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2976387.\nAnswer: 3, 992129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17688 and 121538?\nAnswer: 16043016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1806, 3\/2, -0.1, -1\/7, -13.\nAnswer: -13, -1\/7, -0.1, 3\/2, 1806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**25\/(s\/s**(-7)*s**(-1))*((s**(-5\/2)*s)\/s*s*s**(-2\/21))**(2\/27) assuming s is positive.\nAnswer: s**(-4036\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 3470325*v + 38173938.\nAnswer: -3*(v - 11)*(v + 1156786)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-12) - (-111)\/9. Suppose 0 = -6*x + 37 - a. Calculate the least common multiple of 21 and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (48 + 10 + 29)*(0 + 0 - 2)*(0 + 2 - 1)*(10*d**4 + 11*d**4 - 16*d**4) as s + g*d**4 + q*d**2 + f*d + a*d**3 and give g.\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2011 - -2014. Which is the third smallest value? (a) k (b) 2\/3 (c) 7 (d) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8949*j**2 + 27*j**3 + 17972*j**2 - 9023*j**2.\nAnswer: 27*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.17901627 + -2.179. What is r rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-8))\/((-6)\/16). Let f = -0.9251 - 1.0749. Sort f, -3, u, -4\/7.\nAnswer: -3, f, u, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73634 by -3.\nAnswer: -73634\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 2*s + 7, 104*w - 96*w - 17*w - 27 = 0 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 equal to -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 2, 20, 1\/3, -0.09, -0.5, -11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14919ab4 - 8?\nAnswer: 14919aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 8:48 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.042864426 to 4 decimal places.\nAnswer: -0.0429","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 4, 4\/39, 53.5, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6919063 to the power of 1\/2, to the nearest integer?\nAnswer: 2630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**2*o**2*t - 459*n**2*o**2 - 94*n**2*o*t - n*o - 12*n*t + 6*o**2*t wrt o.\nAnswer: -4*n**2*t - 918*n**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -1.3. Let u = -1 + 1.3. Let x = 0 - -0.5. Sort y, u, x in increasing order.\nAnswer: y, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*v + 99 = -107*v - 895 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*i = -5*i + 1455128240, 0 = c - 5*i + 291025660. Let n = c + 283167661811\/973. Let x = 2092\/7 + n. Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 26. Let v be n(0). Let y be 4\/v - 364\/169. Is -1 - (-390 - (0 - y)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3, 1\/6, -0.4, -7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((-4 - (-12 + -1)) + -15) - -20.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, -51, -127, -201, -273, -343?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181905567?\nAnswer: 4909, 240763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16115 and 3245.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20860*n + 2*w + 58 = 20857*n, -13*n = -n + w + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uddd when four letters picked without replacement from {d: 16, u: 2}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a. Let s be q(2). Let w be (-18)\/s*(1 - -1). Suppose -3*r = -w - 6. Solve -6 = -2*t + 4*g, -r*t = -2*g - 9 + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 190 = -5*f - 43, 4*f + n - 138 = 0. What is the smallest common multiple of 165 and f?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2 - 46491*m - 53665486 = 0.\nAnswer: -1127, 47618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31790\/(-110)*(-2)\/34.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21777 and 1399?\nAnswer: 30466023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(3\/5)*u*u\/u**(-1)*u)\/(u**2)**(-14) assuming u is positive.\nAnswer: u**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (81\/9 - 4)*(-3 + 12)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(200)\/sqrt(5))\/sqrt(8) - sqrt(5))*6 - (4*(0 + sqrt(5)) - sqrt(800)\/sqrt(10))))**2*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 5*s = -5*g + 37, -g + 14 = -2*s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14823418, -14823410, -14823402, -14823394, -14823386, -14823378?\nAnswer: -14823370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*r + 112, -17*r + 5*a = -16*r - 10. Suppose -r*o + 16848 = 2*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/(-17) - 1*-2. Let l = -1110.1 - -1110. Let d = l - -0.5. Put d, f, -11 in descending order.\nAnswer: d, f, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 229198?\nAnswer: 4583.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -73101, -146169, -219239, -292311?\n\"Answer: -v**2 - 73065*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 6*x - 5. Let k be b(6). Suppose -3*a + a - 66 = 3*o, -4*a - 72 = 3*o. Let m = k - o. Calculate the remainder when 59 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 238*g + 1728. Let x be d(7). Let y(a) = a. Let p be y(2). Solve -4 = 3*j + 3*c - x, p*j + c = 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2120)\/(-2968))\/(5\/(-6))*8\/(-96)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**4 + 2*d + 5. Let u(y) = -y**4 - y + 1. Let q(v) = -n(v) - 2*u(v). Differentiate q(f) with respect to f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11360 and 69050?\nAnswer: 78440800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1174 and 6139433.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**5\/2 - 393*x**4\/8 - 1353*x**3\/8 - 1401*x**2\/8 - 255*x\/8 + 87\/4 = 0. Calculate x.\nAnswer: -29, -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13342 + 13342 - 1874*g to p*g + u and give p.\nAnswer: -1874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/18 - -5*55\/(-225).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 3*k**2 - 3*k**2 + 2*k**2 + 4*k**2 - k**2 + (0*k + k + k)*(-1 + 1 + k) - 3*k**2 + 0*k**2 + 2*k**2 + 3*k + 2*k**2 + 2 - 2.\nAnswer: 6*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20588335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, x: 3, d: 1, r: 5}. What is prob of sequence wwdx?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 409770.1 less than -12?\nAnswer: -409782.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k**2 + 2*k + 13. Let p be j(-5). Let l = 354 - p. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 * -863845\nAnswer: 48375320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8\/7 - -102\/77. Let y be (-10)\/4 - 3\/6. What is the third biggest value in y, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 486026 and 18.\nAnswer: 4374234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 452761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -8. Let l = -21 + 11. Find the common denominator of (-3)\/l*m\/9 and -79\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/11, 154\/13, 3\/1648, -4.\nAnswer: -4, -4\/11, 3\/1648, 154\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 643924 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 2. Let m be t(4). Suppose 0*y + m*y = 4. Let k = 39 + y. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -2*p**6\/3 + 28*p**5 + 112*p**4 + 304*p**3\/3 - 1453. Solve h(v) = 0.\nAnswer: -2, -1, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s + 4. Let k(f) = -f + 1. What is j(b) - 4*k(b)?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 5 (b) -1\/3 (c) 3 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -81c4602?\nAnswer: -81c45cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3 - 3 + 0 - 2*y. Let k(p) = p**2 - 8*p + 2. Let z be k(8). Let x(f) = 0*f + z*f + 0*f. Give i(x(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 - (-14 + 21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46\/7? (a) 4 (b) 0.1 (c) -1\/3 (d) 5 (e) -5 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-3\/7)*w*(w\/(w*w**(-6)*w))\/w)**2)**(-6\/5))**(-39) assuming w is positive.\nAnswer: w**(4212\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006222352 to four dps.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3707?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)*5)\/sqrt(9))\/(sqrt(432)*5 + sqrt(432) + sqrt(432)).\nAnswer: 5*sqrt(7)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -1, -21, 0.8 in ascending order.\nAnswer: -21, -1, 0, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360366162.\nAnswer: 2, 3, 13, 23, 37, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263485 is divided by 349?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9038 is divided by 531?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (13 - 46) + 16.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - a + 1. Suppose 0 = 2*r - 4*k + 22, 4*r - 2 + 26 = 4*k. Let w(z) be the first derivative of 2*z**3\/3 - z**2 + z + 190. Give r*d(q) + w(q).\nAnswer: q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28947760 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -318.1 and -12.\nAnswer: -330.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2769717 litres in millilitres?\nAnswer: 276.9717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 4, 3, -1218 in decreasing order.\nAnswer: 4, 3, -2\/9, -1218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-35)*(-1)\/((-1144)\/2156).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -3\/5, 5, 3.32.\nAnswer: -5, -4, -3\/5, 3.32, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13987663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.993622 + 12.79363. Let i = w + 4.2. What is i rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756 = 21674*q - 21660*q for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -291.0773 to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554717 is divided by 277310?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**2 + 3 + 446489*m - 446489*m - 13*m**3 in the form l*m + h*m**2 + w + s*m**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from {e: 2, a: 2, c: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-70)*-15*4\/(-18).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 9 + 1 = 0. Suppose 46 = -6*n + q*n. Solve 2*x + x + 4*y = n, 5*y - 22 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -15*h**4 + 1481172*h**3 + 3258645*h**2 + 592482*h = 0.\nAnswer: -2, -1\/5, 0, 98747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.022 in 0.1, -3, -0.4, -1.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4922520 - 606084. Let p = 9707596 - i. Suppose -p = 5*o - 1941160. What is o rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p - 25 = 0. Suppose 5*w + 15 = -p*c, -2*c - 1 + 2 = -5*w. List the prime factors of (-31)\/(-2)*(2 - (-2 - c)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*x - 56, -5*x + 56 = 15*r - 13*r. Suppose 0 = 40*c - 38*c - r. Solve 0*b + c = 7*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1518 and -13\/1012?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 832495332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25992619 is divided by 356?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6450937 (base 10) in base 5?\nAnswer: -3122412222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20.732 and 0.341.\nAnswer: 21.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1872, -3, 10, 1, 2 in decreasing order.\nAnswer: 1872, 10, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -809*x + 2. Let t(h) = -h**2 + 10*h + 23. Let z be t(12). Is j(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-1))\/((-1)\/(-13)). Calculate the highest common divisor of i and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2064 and 0.2?\nAnswer: -412.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2 - 10 = -3*o, 0 = -5*o + 20. What is z in 2\/3*z - 4\/3*z**2 + a + 2\/3*z**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 105, 1, 0, -5 in descending order.\nAnswer: 105, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13031645?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 158*b - 32 = 157*b, 6*t + 5*b - 44 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57 times 140?\nAnswer: 79.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 3*m + k, -7*k + 15 = -12*k. Suppose -3*h = -0*h + 12. Is -12*1*(m - h) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72545299 to the power of 1\/3, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 7*u = -512. Let d = 16 - u. Is ((-420)\/d)\/((-2)\/8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/107985850 and 69\/70.\nAnswer: 107985850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivvviv. What is prob of picking 3 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6 - 10. What is the second derivative of -4*c**4 + q*c**4 + 0*c - 2*c wrt c?\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1433 - 1559 = -205*l + 5601 + 4937 for l.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26871 * -0.63.\nAnswer: 16928.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1887 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkoyryyykaykyy. Give prob of picking 1 y, 1 o, and 2 k.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -975 + 5?\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*0\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1576 (base 8) in base 12?\nAnswer: -626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 2*j = 3*v + 58, 0 = 2*j + 2. Suppose 3*x - 24 = -5*x. Calculate the remainder when v is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a**3*g - 2*a**3*p**4 - 4*a**3 + 198*a*g*p**2 - 2*a*g - 13*g wrt p.\nAnswer: -8*a**3*p**3 + 396*a*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -328 + 329. Let i(f) = -1 + 4*f - 3 - 1 - 3*f**3 + 2*f**2. Let n(u) = u**3 - u + 1. Let o(j) = t*i(j) + 4*n(j). Determine o(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9949?\nAnswer: 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1179050 to the nearest ten thousand.\nAnswer: -1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4214336, 4214328, 4214318, 4214306, 4214292, 4214276, 4214258?\n\"Answer: -o**2 - 5*o + 4214342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -531830*m**2 + 7*m - 19870280?\nAnswer: -1063660*m + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/366 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 2. Let k(x) = x**3 - 4*x**2 - 5*x + 10. Let i(v) = 6*f(v) + k(v). Is i(-5) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -4 (c) 0.1 (d) -28 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2)**(1\/74))**(-11\/7)*((b**(-1))**(-10\/9))**(-21) assuming b is positive.\nAnswer: b**(-18163\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)*2 - sqrt(156))*-5 + -4*(sqrt(156) + sqrt(156)*1))\/((-4*sqrt(192)*-4 - sqrt(192)) + sqrt(192)) + 0)**2.\nAnswer: 2197\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + k**2 - 1. Let t(c) = 6*c**3 + 4*c**2 + c - 5. Give -t(o) + 4*u(o).\nAnswer: -2*o**3 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15814*j**4 + 5437*j**2?\nAnswer: -379536*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/38, -11457, -3?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 16. Give o(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 5*i - 414. Calculate the remainder when a(-22) is divided by 68.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04 and 173988651530.\nAnswer: 173988651530.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.725 and 2.6?\nAnswer: 1.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/(2\/(-20)). Suppose 0 = 2*i - 5*s + 8, -48 = 4*i + 12*s - 14*s. Sort x, i, 4.\nAnswer: i, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533684233 to the power of 1\/3, to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 2*s + s)*(0 + 13 + 1) as c + a*s and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**4\/17 - 19*f**3\/51 - 3*f**2\/17 - 9*f - 3. Let s(g) = 0. Calculate g.\nAnswer: -3, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) -6 (c) 3 (d) 0.2 (e) -4 (f) -164\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*z, 3*q = -3*z + 6*z - 15. What is the closest to 0.1 in q, -4\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 k when four letters picked without replacement from vkwwkkokwkkvvokkvkvk?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 w when four letters picked without replacement from {r: 3, w: 5, p: 4, o: 2, v: 1, j: 5}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 62.1. Which is the closest to s? (a) 0 (b) 28 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2164 + -1?\nAnswer: 2163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000104 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24860000 rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 91*d + 4729. Determine b(-52).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3 - 631*p**2 - 1255*p + 1887 = 0.\nAnswer: -629, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Let d(r) = r**3 - 7*r**2 + 5*r + 4. Let v be d(6). Which is greater: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*x + 12, -3*s - 4 = x - 5*s. Let k(h) = h**2 - 2*h + 5. Is k(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -988\/3 + 4934\/15. What is the third biggest value in -19, -1\/6, -4, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10277.7? (a) -22 (b) 2 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -12 + 3*o - 5 - 13. Suppose -12*u = -16*u + 52. What is the units digit of a(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 432 + 356. Let z = 788 - l. Sort z, -29, -1 in descending order.\nAnswer: z, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8 = -4*h - 0*h, -3*h + 6 = -3*z. Let g(j) be the first derivative of 1\/3*j**3 - h + 0*j - j**2. Find l such that g(l) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10130?\nAnswer: 2, 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12476.\nAnswer: 2, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -30*a - 69. Let z be 1 - (12 - 0*1\/(-3)). What is the hundreds digit of g(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4343, -12439, -28045, -54917, -96811, -157483?\n\"Answer: -626*f**3 + f**2 - 3717*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 25*c + 41. What is l(-29)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -4. Solve -3*k + o = y, -y + 2 = -4*k - 6*y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4063 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279.925 years in centuries?\nAnswer: 12.79925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*p = 208*p + 90 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + 1 + sqrt(468) + 1 + -3*-6*(-2*sqrt(468) + sqrt(468) + -2))**2.\nAnswer: 6936*sqrt(13) + 136408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -8) + -23 - 3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19225949 is divided by 9612974?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -336205\/193 - -1742. Is -1 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 9:48 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2417858894.\nAnswer: 2, 11, 10093, 10889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/22))**(-4)*v\/(v*v\/(v\/(v*(v*v**(3\/38))\/v)))*v**(-10\/3))**(-3\/11) assuming v is positive.\nAnswer: v**(5305\/4598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -264 - -136. Let j = m - -129.17. Round j to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 149\/4. Let i(j) = 4*j**2 + 2*j + 5. Let k(t) = -5*t**2 - t - 6. Let y(p) = 4*i(p) + 3*k(p). Let f be y(-4). What is the closest to x in f, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence luy when three letters picked without replacement from {x: 2, f: 5, u: 1, l: 3, y: 8, b: 1}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15895323671 and 2.\nAnswer: 15895323673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-149)\/(-468) - 8\/(-52)*1 and 3\/14.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -4, 229.\nAnswer: -4, -1, 3, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 213 = 9*i, 4*s + 8*i - 125 = 63 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.9 in 1, -0.12, -0.4, 15, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or -6545\/167?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*d**3 - 3*d**2 + 3*d**2 + 0*d**2 - 346*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*y**2 - 101*y**2 + y**3 - 75*y**2.\nAnswer: y**3 - 114*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.615 and 5421.3419699.\nAnswer: 5418.7269699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/33 + (276963\/33 - -5) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 - 5\/(-5). Let v = x - -2. What is the derivative of 2 + 3*k**2 - v*k**2 + k**2 wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -59, -141, -255, -401, -579?\n\"Answer: -16*i**2 - 2*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2115248388 to four dps.\nAnswer: -0.2115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 39*v - 7. Let n(o) = -58*o + 10. Let q(r) = -8*l(r) - 5*n(r). Let p = 2 - 4. Let d = 3 - p. Let g(s) = 7*s - 2. Determine d*q(w) + 16*g(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.153736 * -1371\nAnswer: -210.772056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1925985 is divided by 240702.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41\/134 in -0.4, -3, 0, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 103*d**3 - 29*d**3 + 0.\nAnswer: 74*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x + 7. Let s be r(-3). Let c(g) = g + 13. Let l be c(s). Solve -m - l*m = -12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4187\/5 + 838. Let n = 0.1 - 0.1. Sort -4, p, n in ascending order.\nAnswer: -4, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*k = 6, k + 4*k - 11 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 14) to base 9\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2 - (390\/12)\/13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1352707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -3*j - 10, -3*c + 3 = -5*j - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 7 = -2*m - 2*i, 3*i = 4*m + 3. Suppose -t + m*c = -6*t - 47, -2*c + 20 = -4*t. Let p(w) = w**2 + 2*w - 9. Is p(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -53\/3. Let t = -0.11 - -0.11. Let b = t - 0.5. Which is smaller: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1083791 is divided by 12161?\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.01, 0, 212?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**4 + 1417*y**3 - 7577*y wrt y?\nAnswer: 24*y**2 + 8502*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/18282 and 1\/4155?\nAnswer: 91410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(136)\/(sqrt(40)\/sqrt(5)*-4))**2*-1.\nAnswer: 47\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4570727312 to the nearest integer?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - -27. Calculate the greatest common factor of 66 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 14 = 2, -5*x - 167 = -3*j. Suppose -5*m = j - 254. List the prime factors of m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -2*g, -j + 42 = -6*j - 4*g + 78 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:10 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35345, 282910, 954869, 2263418, 4420753, 7639070, 12130565, 18107434?\nAnswer: 25781873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 3*s - 5, -1 - 4 = 3*j + 2*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = b + 2*l, -2*b - 30680*l = -30692*l + 56 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13220789.\nAnswer: 19, 433, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -20 - 4. Suppose 0 = 3*a - 6*a - j. Let i be (-3)\/(-2)*(-8)\/a. Solve 2*u + i*u + 15 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10921569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 94106 divided by -422\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 27*r - 123. Let n be a(10). Let p = n + -42. Let u be -6*(-6)\/27*3. Solve p*o = u*o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 250 + 409. Is w a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14933744 take away -1304?\nAnswer: -14932440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 18*j - 17. Suppose -4*r - 16 - 12 = 0. Let w be o(r). Calculate the least common multiple of (-5 + 1)*1 + w*2 and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -66\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 230 and 224 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3771?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/6 + 1\/(-3). What is the closest to -1 in 0.4, z, -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-20 - -8) - -18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40\/51 - -676\/255. What is the common denominator of j and -151\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 6 (b) -54 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Suppose 2*x + z*x - 4*h = 4, 3*x + 3*h = 15. What is the third derivative of 0*t**3 - t**2 - x*t**3 + t**3 + 0*t**2 wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.32 and 807719 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -1004355535?\nAnswer: -1004355533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 5*f**2\/2 - 2*f - 1. Let o = 739 - 742. Determine q(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-28))\/((32\/10)\/(784\/140)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/1569 and -11\/591?\nAnswer: 309093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1670, 1827, 2082, 2429, 2862?\n\"Answer: -c**3 + 55*c**2 - c + 1617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**4 - 8*n**2 + 5*n. Let k(l) = -4*l**4 + 12*l**2 - 8*l. Let c(d) = 5*k(d) + 8*s(d). Determine t, given that c(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 62572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z - 19*z - 14*z + 75*z - 17*z - 12*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i + 2 = 2*g, 2*i = 2*g - 2. Suppose -53*d + 50*d + 174 = i. Suppose d*r = 59*r - 11. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 931*x - 16037. Determine u(17).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/5))\/o*(o*o*o**(-2\/21))\/o)**(25\/2) assuming o is positive.\nAnswer: o**(290\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29161 and 242.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 98*x**2 - 1344*x + 4608 = 0. What is x?\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -211\/4 + 53. Let b = 0.46 - 0.06. Let n = b - 0.8. What is the third smallest value in n, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -0.0135, 2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -846*i - 842*i + 2533*i - 846*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 275\/2264 + 1\/283. What is the second biggest value in -2\/9, -3\/5, -0.5, o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14 + (-897)\/26)*(-2)\/(-1). Let v = 164 + -250. Let p = v - y. Solve 4*k - p = 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599735 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4792 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -377463, -754928, -1132393, -1509858, -1887323, -2264788?\n\"Answer: -377465*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 4404 + 4404. Let j(c) = -17*c**2. Calculate j(m(d)).\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 6*c**2 - 5*c - 6. Let p be u(7). Suppose p*t - 5*t - 9 = 0. Find the first derivative of 9*b + t + 10*b - 1 - 9*b wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6418*((-46)\/(-48) - 1). Let f be (57 + -2 + -2)*-5. Let d = n + f. Calculate the common denominator of 13\/18 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r = 37*r - 78*r + 1764 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/4 (b) -2 (c) 1\/8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -3*d - 37. What is the highest common factor of 153 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 60 = 24*j. Suppose -3*f + 6 = -6. Sort -5, f, j.\nAnswer: -5, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34.24 - -38.24. Suppose -2*h = i - 3*h - 5, 5 = -i - h. Which is the closest to i? (a) k (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321208815 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6656 = -18*h + 16*h. Suppose -16*t + h = -8*t. Is t a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 2) + -2 + 1 + -3. Let d be b*(-4 + -1 + 14\/3). Suppose 2*v - 48 = -3*l, -v + 6*v = l + d. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/2, -7454.97, -4 in decreasing order.\nAnswer: -3\/2, -3, -4, -7454.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-5) + 83\/5. Solve -8 = 5*d + o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0, -2\/86071, -2?\nAnswer: -2\/86071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 27347012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from jejjejjjjjjreerjjee?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 553724 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-2 - 2)) + -133 + 187\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((42\/5)\/((38\/(-25))\/(-19)))\/3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r. Let k(q) = -q - 6. Let v(u) = 3*u - 1. Let s(y) = -k(y) + 5*v(y). Determine 2*s(c) + 11*w(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1315*p**3 + 630*p**2 wrt p.\nAnswer: -7890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2 = -h, 5*h - 15*c + 10*c = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10454 = 3*z, 5*b - 4*b + 2*z = 2095. Let c = b + -620. What is c rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 < 65256\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 12 - 8*j**2 - 8*j - 10*j**2 + j**3 + 11*j**2. Let d be w(8). Let m = 14 - d. Solve -4*r = r - m*b + 22, -8 = 3*r + 4*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -225*u + 1100 - 696 + 1171. What is the remainder when 7081 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2*(1 + sqrt(242)) - (-2 + sqrt(242))*-1) + -3*(sqrt(242) - (sqrt(242) + -2)*-2) + 4)**2.\nAnswer: -3740*sqrt(2) + 24489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44 - 19*m**3 - m**2 + 20*m**4 + 3*m**3 + 112*m - 71*m**2.\nAnswer: 4*(m - 1)**3*(5*m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3 + 7887*s**2 - 39396*s - 110348 = 0.\nAnswer: -2, 7, 7882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (0 + -6 + 6) - 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4)\/t**(-1\/13))\/(t**8*t*t*t**6) assuming t is positive.\nAnswer: t**(-815\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 472 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73391 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1733?\nAnswer: 1\/1733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2967263 and 38\/7?\nAnswer: 20770841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((4\/8)\/((2295\/34)\/27)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -45992058, -45992055, -45992052, -45992049?\n\"Answer: 3*t - 45992061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, 70, 198, 438, 826, 1398, 2190?\n\"Answer: 6*o**3 + 2*o**2 + 4*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25116 (base 7) in base 10?\nAnswer: -6579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49257*v**4 + 980*v**3 + 15482015*v**2 - 2*v + 3 wrt v.\nAnswer: 1182168*v + 5880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -772*c**6 - c**5*o**2*s - 9*c**2*o**2*s + 56*c**2*o**2 + 2*c*o**2*s wrt c?\nAnswer: -92640*c**3 - 60*c**2*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 24 = 2*g, 15*g = 20*g - 2*a - 71. Suppose -q - 2*u + 200 = 0, 0 = 2*q + 5*u - 6*u - 405. What is the remainder when q is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 691771143 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 45*u**2 - 224*u + 2375. Determine a(41).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h**3 + 2*h**2 - 6*h + 3. What is the units digit of b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6093683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.25 + -0.1. Let q = 0.45 - h. What is the closest to -2\/5 in 0.2, 1\/4, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.38 - 23.1906. Let m = 0.8 + -0.99. Let i = m + f. Round i to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5029*m**3 - 1273*m**2*y**2 + 3*m*y**2 - 6008*m*y + 54*y**2 - 2*y + 2 wrt m?\nAnswer: -30174*m - 2546*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8311176*d*w*z - d*z - 7426131*z wrt w?\nAnswer: 8311176*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**3 + j**2 + 2*j + 1. Let h be v(2). Let f = h - -31. Suppose 0 = -4*g + 76 + f. Calculate the greatest common factor of g and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q - 9. Let g be t(6). Suppose g = 5*h - 0. What is the greatest common factor of 36 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**4\/2 + 15*k**3 = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = 2*l - 12*o - 16, 4*o = -2*o - 24 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 233, 335, 477?\nAnswer: 659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -11. Let y be 2\/6 - (-11)\/l. Factor -3\/2*n**y + 0 - 15\/2*n**2 + 3*n + 6*n**3.\nAnswer: -3*n*(n - 2)*(n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2636 - 2?\nAnswer: 2634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*k + 4*w - 9, 0 = -3*k - 4*w - 2. Let j be (3 - k)\/((-5)\/(-55)). Suppose -j = -3*o + 1. Sort -1, o, -6, -5 in increasing order.\nAnswer: -6, -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 30, 0.5, -3\/11, -3\/4, 0.3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2549281079.00000022 + -2549281103. Let g = -24 - v. What is g rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1954\/595, 3, -5?\nAnswer: -1954\/595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f + 10. Let r(q) = q**2 - 3*q - 8. Let w be r(-2). Let x be l(w). What is the greatest common divisor of x and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366619869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 16*z - 207. What is the remainder when 80 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(1024\/(-480)))\/(3\/(-3)*-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -47, -109, -195, -305?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 39 + 1. Let n(b) = 3*b + 7. Let c be n(6). Suppose 0 = -3*o + 41 + c. What is the remainder when o is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 1688*y**3\/3 + 3945*y**2\/2 + 3964*y. Differentiate x(s) with respect to s.\nAnswer: 3376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 912313689 to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/4 - u**2\/4 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -287, -538, -739, -866, -895, -802, -563, -154?\n\"Answer: 4*q**3 + q**2 - 282*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3058.5 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kklikk. What is prob of picking 1 l and 2 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 267 - 83 = -2*m, 0 = -5*n. What is the highest common divisor of 35 and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 190775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100111 (base 2) in base 7?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 5456650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8525 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5\/4 - 2007*p**4\/2 + 1788945*p**3\/4 + 1815921*p**2 - 4969533*p + 2707380 = 0. Calculate p.\nAnswer: -1690, -6, 1, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -12.1. Let a(o) = 27*o + 103. Let w be a(-4). What is the nearest to d in 0.2, w, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.4231 + 3.423085429. What is s rounded to seven dps?\nAnswer: -0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 141*f + 1516. Let i be q(-8). Calculate the greatest common factor of i and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 95*h**2 - 11*h + 331. List the prime factors of z(-95).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from nekneekneeeen.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a micrometer in nanometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13 from 2.94.\nAnswer: -10.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 - 31*x**2 - 51*x + 10. Let v be d(17). What is the nearest to -1 in v, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 44*s + 18*s**2 - 5 - 18*s - 12*s**2 - 26*s - s**3. Let y be (20\/(-6) - -2)*-6. Let t = 14 - y. What is b(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1043 = -4*w - 277. Let q = w + 5608\/17. What is the second smallest value in q, 1, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**2 + 24*g + 3. Let n be x(17). Let v = 1242 + n. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290719?\nAnswer: 1290719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1341 in 0, 169, -5\/11?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*u + 164*u + 59*u)*(-7 + 8 - 5 - 4*u - 2*u**2).\nAnswer: -388*u**3 - 776*u**2 - 776*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3608\/14 - (-8)\/28. Suppose -3*g + a = 2*p + p, -5*p + 2*g = -423. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(220)\/sqrt(4))\/sqrt(5) - ((sqrt(77)*-1 - sqrt(77)) + sqrt(77))\/sqrt(7).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (782\/(-1449) + 4\/42).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 121 + 121 = 25*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94252714.\nAnswer: 2, 653, 72169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*k - 365. Let q = -202 + k. Let f = q + 195. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -13. Suppose -4*i + 18 = -v, -f*v + 3*v - i + 9 = 0. Let d(t) = -113 + 113 + v*t. Let c(m) = 2*m. Determine c(d(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r - 11*r**3 - 3 + 10 + r with respect to r.\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f. Let b be r(1). Suppose b = 3*o - 2. Factor -1\/5 + 0*q + 2\/5*q**5 - 2\/5*q**3 + 4\/5*q**o - 3\/5*q**4.\nAnswer: (q - 1)**3*(q + 1)*(2*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5223 (base 13) to base 8\nAnswer: -26130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 904*c**2 - 19856*c - 43296.\nAnswer: 4*(c - 22)*(c + 2)*(c + 246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 15?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8580, 34326, 77236, 137310, 214548, 308950, 420516?\n\"Answer: 8582*m**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -9. Suppose 5*f - 168 = f. What is the highest common factor of f and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 2*v + 5*v)*(7*v - 4*v + 2*v - 2*v**2)*(2*v**2 - 6*v**2 + 2*v**2).\nAnswer: 16*v**5 - 40*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23\/4 - 25\/4. What is the second biggest value in -2\/9, j, 0.01, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/245 - -1277\/245. Let d = -3\/106 - 6619\/212. Let q = -303\/4 - d. Calculate the common denominator of q and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*s**2 + 108*s**2 - 29 + 29 in the form h + b*s + t*s**2 and give t.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77*a**2*g + 2*a*g + 9414*a - 4*g - 13237693 with respect to a.\nAnswer: 154*a*g + 2*g + 9414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83)\/14 - (-12 - -20)\/112.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110122222212 - -1?\nAnswer: 110122222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzz. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 43526\/56 - (-3)\/4. Let o = -718 + x. What is the remainder when 539 is divided by o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-10\/3)\/(b*b\/(b**5\/b)) assuming b is positive.\nAnswer: b**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l = 3*o - 34*l - 31, 4*o + 5*l - 3 = 0. Suppose -o*y + 57 + 1182 = 0. Is 177 equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*i**3 - 253*i**3 + 86*i**3 - 19*i**3.\nAnswer: -98*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468\/(-39)*3\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 48 = 14. Let r = -23 - o. Find l such that -r - 20*l + 11 - 5*l**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6699, 6766, 6833, 6900, 6967, 7034?\nAnswer: 7101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 393 + -397. What is the nearest to -3 in -0.3, -3, 0.1, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.3, 7, -0.2, 11.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 4*o = g + 4, 5*o = 15 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 225441515 - -12?\nAnswer: 225441531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3960.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123304 is divided by 425.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18455 - 18455.06. What is the closest to s in -1\/33, 0.5, 0.1?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 11:15 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 7148231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 39 = 5*g. Let z be (-8)\/32 - (6\/(-16))\/(6\/4). Does 7 divide 3\/((-9)\/g)*(z - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**2 + 36*k - 405 = 0.\nAnswer: -45, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i + 91. Give w(-15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1*f*f*f)\/f)**(-16)*f**(-1)*f**1 assuming f is positive.\nAnswer: f**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -86 + 97 + 30 + -7\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(605) + -1 - sqrt(50)\/sqrt(40)) + -2) + -5)**2.\nAnswer: -252*sqrt(5) + 19909\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3*(-5)\/9)\/(10\/12). Solve q + 2*t = -0*q + 6, -v*q - 3*t = -10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + 61. Suppose -5*h = -5*b + b + 185, b - 5*h - 35 = 0. Suppose -5*y = -y + 2*v - 36, b = 4*y - 5*v. Calculate the highest common divisor of c and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddd. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 227425753 rounded to the nearest 10000?\nAnswer: 227430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-741)\/6*(-960)\/6240.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5608970 - 3248970. What is x rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-21\/2)*i**44)\/(i**(-24\/7)*i**(-20)) assuming i is positive.\nAnswer: i**(797\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (19 + -27)) + -16.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x = -p - 1, -12 = 3*x + 3*p. Let u = -6.5 - -7. Which is the closest to 0? (a) x (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 159\/5 + -521\/15. Find the common denominator of (-6 + -1)*5\/(-4) and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -93 - -120029?\nAnswer: 119936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -5 + -9 + 11 + (0 - 1 - 8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3) + 1 + (8 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50370333 to the power of 1\/2, to the nearest integer?\nAnswer: 7097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77.2 - -95.51. Let l = -9.21 + 8.52. Let w = l - v. Which is greater: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-124)\/1240)\/(2\/(-460))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d = -28*d + 2*d + 1128 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*m + r, -16*m = -4*m - 12*m + 2*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 - 4*p**2 + 2*p**2 + (-p + 0*p + 0*p)*(1112*p - 955*p + 1900*p).\nAnswer: -2059*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + 4*d**2 + 5*d**2 + 6*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*k**2 + 32238*k - 410664.\nAnswer: -3*(k - 964)*(11*k - 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 104097373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*-1 + 1 - (15 + 4). Let b = n - -20. Solve b*a = 4*a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*t + 446 + 5212. Let h = t - 243. Put 0, 218, h in decreasing order.\nAnswer: 218, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (0 + -1 - (28 + -27))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c + 17*c + 81*c - 104*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*s = -0*s - 194, 3*s + 161 = 2*v. Suppose 3*x = f + x - v, -3*f + 5*x + 222 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -116*k - 116. What is g(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3569999.\nAnswer: 449, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9bdcd + -22?\nAnswer: 9bdab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -4. Sort x, -1, 1\/11 in decreasing order.\nAnswer: 1\/11, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(-6)*(1 + 1). Is l\/((-21)\/6)*6 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95*a*v**5 - 5*a*v**3 + 447*a*v**2 - 2*a*v wrt v.\nAnswer: 5700*a*v**2 - 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - w - 21. Does 6 divide u(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 196? (a) 2 (b) -1 (c) -11\/10 (d) -102 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 181885567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 36*p + 35*p - 119*p + p**3 + 47*p. Let n(u) = 8*u**3 - u**2 - 6*u - 8. Determine n(k) - 6*q(k).\nAnswer: 2*k**3 - k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -21*m**2 + 3 - 3. Let q(b) be the first derivative of -5 + 0*b**2 - 1\/3*b**3 + 0*b. Give y(q(s)).\nAnswer: -21*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 15. Let m = 0.105 - 0.158. Let r = m + 2.053. Sort 2\/3, -6\/13, r, b in increasing order.\nAnswer: b, -6\/13, 2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than -233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.4 and -0.369?\nAnswer: 5.6826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*d = 294*d + 284*d - 130 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -0.5, -34, 1, -64?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4 + 3600*n**3 - 1991259*n**2 - 66435936*n - 538663680 = 0.\nAnswer: -1605, -16, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4269, -4294, -4319?\nAnswer: -4344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 31*r**3 - 2 - 6*r**2 - 29*r**3.\nAnswer: -60*r**3 - 6*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 341826457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lljljjgdljjggjljgl. Give prob of sequence djg.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 602*r - 703*r = 293, 4*w - r = -3*r + 3*r - 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 take away -1937?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 6 = -4*l, 76*d - 7*l + 3 = 81*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9639293?\nAnswer: 727, 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -384, -2393, -8112, -19395, -38096, -66069, -105168?\nAnswer: -157247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2*(836\/(-8))\/11 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/3 + 78*s + 4563 = 0. What is s?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.367598003 - 1.075.\nAnswer: -1.442598003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**2 + l + 5. Let p(x) = 4*x**2 + x + 4. Give 3*m(j) - 4*p(j).\nAnswer: -j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-18) + 2\/3. Which is the nearest to 2\/3? (a) r (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + -1 + 3 + sqrt(325) + (-2*sqrt(325))**2 + -4 + ((sqrt(208) + 1)*5)**2 + 1 + -3.\nAnswer: 210*sqrt(13) + 6521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 16 = 3*w. Let y(q) = q**2 + q - 14. Let b be y(4). What is the units digit of (-2 + w)*(-2 + b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2504, 2508, 2514, 2522, 2532, 2544?\n\"Answer: a**2 + a + 2502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2. Let x(j) = -78*j - 143. Let w(i) = -116*i - 229. Let b(n) = -5*w(n) + 8*x(n). Determine r(b(k)).\nAnswer: -1936*k**2 + 88*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.88 - -10.48. Let g be -4 + (-2)\/(-6)*(-765)\/(-60). Which is the smallest value? (a) g (b) -3\/5 (c) 4 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14581202.\nAnswer: 2, 1523, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 5:01 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -98\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*i**2*n**4 + 6*i**2*n - 2*i*n**4 - 10 wrt n.\nAnswer: -348*i**2*n**2 - 24*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10099 by -2130.\nAnswer: 10099\/2130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5166, 3\/5, 11?\nAnswer: -5166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-792)*3*6?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 + 92 + 0 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 21*l**2. Let k(o) be the second derivative of -o**4\/3 + 11*o. Determine 2*d(h) + 11*k(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 337*u + 12 - 6)*(-4 + 8 - 2).\nAnswer: 674*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m + 9. Let n be j(-6). Suppose 0 = 2*h - 55 - n. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9*y**2 - 6*y + 1. Let p = -7 + -5. Let u = 1294 + -1276. Let t be -3*(2\/12 - u\/p). Let i(k) = -4*k**2 - 3*k. What is t*i(z) + 2*q(z)?\nAnswer: 2*z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 2:15 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 + -48. Suppose 5*i - 2*a - 138 = k, -3*i = -6*i + 5*a + 79. What is the highest common factor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axlllllllalxll. Give prob of picking 2 l and 2 x.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119 and 170?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 124\/(-217)*14\/4. Put 3, -24, h in descending order.\nAnswer: 3, h, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, d: 5, w: 1, r: 5, y: 5}. Give prob of picking 1 d and 1 l.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 912337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - f - 2. Let g be j(-2). Suppose g*p - 5 = -k, -5*p = 3*k + 2*k + 50. Let l = 30 + k. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8790 (base 14) in base 7?\nAnswer: -125240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/10 - (-1981)\/315 and 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 23*m + 23. Determine n(-24).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -15) + -5 - (73 + -78)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**5\/30 + p**2. Let x(k) be the second derivative of -k**4\/6 - 21*k. Calculate r(x(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 469, 1999, 4573, 8191?\nAnswer: 12853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2*z - 35134 = -7*q, -3*q - 5*z = -105402. Round q to the nearest one hundred.\nAnswer: 35100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8325461 - 1015.53.\nAnswer: -8326476.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + (sqrt(27)\/sqrt(81))**2).\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 11 - o**2 - 4 + 19*o - 25*o + 0*o**2. Calculate z(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/136 in -0.4, -1\/1791, 2?\nAnswer: -1\/1791","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21000020121 (base 3) to base 11\nAnswer: 94718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 13 - 3 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aga. Give prob of picking 2 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.84903393 to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) - (-94)\/3. Let m = -31 + z. Let f be 15\/10 + m\/2. Solve -f*b + 1 = -5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068910113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 29. Let t(i) = i**j - 2*i + 6*i - i - 2*i. Give t(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, x: 1, c: 2, h: 6, t: 2, a: 1}. What is prob of sequence hcx?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**5\/20 + z**4\/3 + z**3\/3 - 2*z**2 - 10*z. Let g be c(-4). Let t be -4*g\/8 + -2. What is the nearest to -0.1 in 3, -4, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121 + -80. Suppose 2*n + 16 - 48 = 0. Suppose -q - 2 = -n. Calculate the remainder when u is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f*l**2 - 28*f*l - f - 2*l**4 - 5954*l**2 - 3*l - 2 wrt l.\nAnswer: 6*f - 24*l**2 - 11908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*s + 5*o, 2*o = -3*s - 10 - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*u**5*x**2 - 1149496*u**5*x - 4*u*x**2 - 7056*u*x - 2*u + 234*x**2 + 1 wrt u?\nAnswer: 80*u**3*x**2 - 22989920*u**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*x + 12*u - 5*u - 2*u = -355*x + 164, x + 5*u = 26 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6127 + 5627 + 6518 - 19266 + n.\nAnswer: n - 994","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -15*r**2 + 14*r + 49. Let m be (-238)\/42 - (-2)\/(-6) - 1. Let d(p) = 5*p**2 - 4*p - 17. Let z(u) = m*d(u) - 2*a(u). Let f(l) = 2*l. What is f(z(c))?\nAnswer: -10*c**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000376092045 rounded to seven decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 800 = 3*j + 202, 1336 = -4*j + 2*w. Let s = 1003\/3 + j. What is the third smallest value in -0.03, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 0.03, -38, 83, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -5. Suppose -2*z - 20 = -7*z. Suppose 4*b - 3*b - 3*j = 11, z*j + 16 = 0. Put b, 0, u in decreasing order.\nAnswer: u, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218 divided by -218\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 647 - 44?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -24 * 888\nAnswer: -21312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 666944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41689767517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*c + 2*f, 2*f = -3*c - 2*c + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 487*n + 687 wrt n?\nAnswer: 487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33bc - 2?\nAnswer: 33ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560300949.\nAnswer: 3, 13, 1596299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 493 divide 1093967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43620475051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-7)\/l)*l**1*l**(1\/5)\/(l**(1\/5)*l) assuming l is positive.\nAnswer: l**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 6*y. Suppose -r + 7 = -0. Suppose -6*i = -r*i + 15. Solve -i = 3*f, y = s - f - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -348637077?\nAnswer: 348637078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/5 (b) 28 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6401, -12799, -19197, -25595?\n\"Answer: -6398*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 263 - -13?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/8)\/((-3)\/12). Let v(q) = -2*q**2 - y*q - 4 - q**2 + 0*q**2 + 2*q**2. Suppose -1 = 2*m + 9. What is v(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a - 17. Let r(q) = 7*q + 35. Let j(k) = -2*r(k) - 5*w(k). Suppose 4523*z = 1047*z - 17380. Determine j(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1028 and 4928489?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 4)\/(1 + 0). Let a be 2\/r + (-12)\/(-5). Factor 2\/5*p**3 + 0*p + a*p**2 + 0.\nAnswer: 2*p**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*s + 3 = 0, l + 4 = 8*s - 4*s. Suppose l = -5*b + 8*b - 15. Let p = -0.2 - -0.3. Which is greater: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2411103 - -230?\nAnswer: -2410323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 11:07 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.033 - -5.033. What is the biggest value in v, 3\/4, -0.2, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9217, 1708.\nAnswer: -9217, 1, 1708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7958 + -7936. Solve 3*s = -z + 37 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 7. Let z = 12 + s. Calculate the highest common divisor of z and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79181309 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -458*-1.058\nAnswer: 484.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 5846.\nAnswer: 30\/2923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/123936 and 145\/192?\nAnswer: 247872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from chhfqchqchfccffq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f - v, 5*v = -3*f. Suppose 5*p - 15 = 5*d, 0 = -5*d - f*d - 3*p + 17. Let u be (d\/4)\/(49\/(-42)). Do u and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d (base 14) in base 2?\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) 0 (c) 1\/3 (d) -4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 7*r**3 + 17*r**2 + 17*r + 6.\nAnswer: (r + 1)**2*(r + 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46188 and 3?\nAnswer: 46188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 5, 4\/11, 3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from {f: 3, x: 2, s: 8, j: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36740*l**3 - 25 - 22 + 47.\nAnswer: -36740*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1581.2 + 1581.4. Let t(g) = g - 10. Let n be t(7). What is the closest to 0.3 in x, n, -29?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-8)\/(-6))\/((-32)\/216)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2344*m - 1161*m + 29*m**2 - 1183*m.\nAnswer: 29*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 167225912*g*p + 262*g + 112668 wrt p?\nAnswer: 167225912*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 161432306 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213063 = -85*i - 21648 + 22020. Which is greater: i or 2510?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22183 + -20247. Which is smaller: -5\/2 or z?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, l: 3}. Give prob of sequence vv.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 0*c = -174. What is the remainder when c is divided by -2*15*(-1)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -169*d**6\/120 - 101*d**5\/5 + d**3\/3 - 1147*d**2. What is the third derivative of q(o) wrt o?\nAnswer: -1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhxyxrr. Give prob of picking 1 y and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 18. Sort b, -1, 0.4 in descending order.\nAnswer: b, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15451 + 27436. Is b a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 1399351 - 1399351.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Suppose q = 4*a - 2752 + 2749, -5*q + 2*a = 15. Sort q, -9, d, 5 in descending order.\nAnswer: 5, d, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.92988 micrometers in kilometers?\nAnswer: 0.00000000092988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1103, 1104, 1107, 1112?\nAnswer: 1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*138.7.\nAnswer: 2357.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -538, -48925 in descending order.\nAnswer: 3, -538, -48925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d + 32. Let q be (5\/15)\/(4\/384). What is the greatest common divisor of q and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/4516 + 4531\/22580. Factor 0 + 0*j - y*j**2.\nAnswer: -j**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(81))\/sqrt(3)*5.\nAnswer: -90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + o + 90 = 0. Let z be (o\/(-44))\/((-9660)\/336). Let j = -46\/3 - -16. Is j greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.3 + -21.3. Which is the third smallest value? (a) n (b) 0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -197\/94310370 and -23\/990.\nAnswer: 94310370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13000 and 2873.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -224, -1109, -3470, -8045, -15572?\n\"Answer: -123*n**3 - 24*n - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0, -0.1, 0.31 in descending order.\nAnswer: 0.5, 0.31, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/171? (a) 0 (b) -15 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*s**3 + 8*s**3 - 2*s + 1 + 5*s + (21*s - 21*s - 14*s**2)*(1 - 1 - 6*s).\nAnswer: 83*s**3 + 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -3) + (10 - (2 + -3 + -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 3:51 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452222 is divided by 208.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3876830 to the power of 1\/2, to the nearest integer?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 3. Let s be y(-3). Solve -3*r + 2*r**2 + 1 - r + 1 + s = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/2*(5\/(-27))\/(960\/576)*-21\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*q = -41*q - 24. Let g(i) = 5*i - 4. Let c(k) = 11*k - 9. What is q*c(n) - 13*g(n)?\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhhm when four letters picked without replacement from {h: 3, m: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*q**3 + 11*q**2 + 21*q**3 + 11*q**5 - 3*q**5 wrt q.\nAnswer: 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 107914, 215861, 323952, 432259, 540854, 649809, 759196?\n\"Answer: 12*q**3 + 107863*q + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**4\/8 - n**3\/2 + 32*n**2. Give v(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -10 - (-9 + (46 - 10))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 8*l + 5. Let r be a(-7). Sort 4, 5, r in increasing order.\nAnswer: r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**4 + 67828*j**3 - 813540*j**2 + 3050300*j - 3389000 = 0?\nAnswer: 2, 5, 16945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*o - 4 + 14 - 10 + 85*o.\nAnswer: -47*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*g = 5, -5*t + 6*t + 17 = -5*g. Let y = -4 + 9. Suppose -y*b = -4*q + 5, 0*q = -2*b + 3*q + 5. Put -3, b, t in decreasing order.\nAnswer: t, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 29461906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136.341 + 0.341. Let h = n - -140. Which is the nearest to -0.28? (a) -1 (b) h (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from aagggagaagaraaggagaa?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 4. Let u(r) be the first derivative of r + 716. Let f(h) = -h**2 - 3*h + 5. Let i be f(-4). Calculate i*v(d) - 5*u(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3389.82*4\nAnswer: -13559.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times 5.9627?\nAnswer: 6.55897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 686696*u**4 + 107654*u**2 + 3*u wrt u.\nAnswer: 16480704*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1199, 1245, 1313, 1397, 1491?\nAnswer: 1589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.026*-5.1918.\nAnswer: -0.1349868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d2249 (base 14) in base 4?\nAnswer: -110121013221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -187 - 7*f**2 - 676 - 6*f**2 - 11*f**2 - 2*f + 23*f**2 as w + p*f**2 + l*f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2353*b**3 - 159*b**2 - 4*b?\nAnswer: 14118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 3:42 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17713, 35480, 53381, 71482, 89849, 108548?\n\"Answer: 11*a**3 + a**2 + 17687*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/1 + -6 + 0. Is -3*b\/18*26 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 (base 16) in base 2?\nAnswer: -10000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - 3\/(0 - 3). Let n(d) = -d**3 - 4*d**2 - 4*d - 4. Let m be n(-3). Find the common denominator of -53\/10 and m*2 - 46\/b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + -113055?\nAnswer: -113122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**5\/20 - 35*v**4\/2 - 533*v**3\/6 + 3*v - 63. What is the second derivative of f(k) wrt k?\nAnswer: 6*k - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, s: 1, j: 11, k: 2}. What is prob of picking 3 j?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3847 + -1308. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, t: 5}. Give prob of picking 1 x and 2 t.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 80*p**2 + 1764*p + 31. Let w be l(98). Let a(m) = 12*m - 383. Give a(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 12. Let y be v(4). Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**2 + 4*m + 3. Let y be c(-2). Suppose 0 = 5*z - y + 3. Solve z*u + 24 = -0*s + 4*s, 19 = 4*s - 3*u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303817881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/9, 98, -1\/5.\nAnswer: -0.3, -1\/5, 2\/9, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.090953cm?\nAnswer: 40.90953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffcc. What is prob of sequence fcfc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285 is divided by 185?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**3 - 7*z**2 + 19*z + 3. What is w(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1\/2, 315, -4, -2\/5 in decreasing order.\nAnswer: 315, 8, 1\/2, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*h - 14 = 0, -3*u + h + 19 = 3*h. Let d = 3138 + -3139. Sort d, u, 3, -10 in decreasing order.\nAnswer: u, 3, d, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 1 - -1 - 18*3230\/(-684).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o\/o**9)\/o))\/o)\/(o*o\/o**(-1\/11)) assuming o is positive.\nAnswer: o**(65\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/30)\/((-4)\/(-12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + v - 2 = 2*v, -2*l + 5*v + 10 = 0. Solve -5*t + 24 - 9 = l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 3*p - 14, 4*y - 344 + 326 = p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**4\/30 - 28*a**3\/45 + a**2\/15 + 28*a\/15 - 51. Factor f(i).\nAnswer: -2*(i - 1)*(i + 1)*(i + 14)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*l + 5*m - 0*m, -48 = -4*l - 4*m. Suppose -2*n + l = -0*n. Let f = -1043 + 1046. Sort -5, f, n.\nAnswer: -5, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 3*h + 51 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 455375*c**4 - 830662*c**2 wrt c?\nAnswer: 10929000*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/378 and -187\/251490.\nAnswer: 15843870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-80)\/32*(-2)\/1. Suppose -3*q = m*x - 16, 1 = -x - 5*q + 13. Which is the biggest value? (a) x (b) -3\/5 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4155644 * -0.6.\nAnswer: 2493386.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 257508569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -257 - -276. Suppose v + 4*d - a = 943, 2*v = -3*d + 1944. List the prime factors of v.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 7:42 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11 + (2 - 2) + 96900\/9520 and -129\/1100?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 71*g**2 - 704*g + 662. Give v(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 210*f - 213*f = -21, 5*z - 4*f = 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 35 = -705. What is the remainder when g is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*8*((-1)\/(-8))\/((-123)\/(-328))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 1018.42044?\nAnswer: -1011.42044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a + 16 = 31*a - 5*c, 0 = -c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436114.\nAnswer: 2, 7, 31151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.13563 and -1180.594.\nAnswer: -1179.45837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, -0.4, -3\/4, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncf when three letters picked without replacement from cccltftvnft.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10735, -43048, -97083, -172990, -270919, -391020?\nAnswer: -533443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - ((-7 - 13) + -43)) + 4?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 25*y**3 - 4*y**2 + 7. Let g(d) = -4*d**2 - 1. Let r(v) = -14*g(v) - 2*m(v). What is the third derivative of r(h) wrt h?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (9 - (11 - (7 + -2))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**25\/(l**(-25)*l))**(-5) assuming l is positive.\nAnswer: l**(-245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 375.0000318 - 375. What is x rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548278 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 10*n**2 - 5*n + 9. What is r(8)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1389903.208 to the nearest ten thousand.\nAnswer: 1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3*(-9 + 9) - (-70)\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Is 17569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474*b - 1595 = 128*b + 1865. Solve -1123*x - b = -1113*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3044531 (base 6) to base 14\nAnswer: 3b3dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -234, 5, 0, -3\/10 in descending order.\nAnswer: 5, 0, -3\/10, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 348\/(-8)*((-328)\/12 + 26) + 3\/(-1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283147347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + d2?\nAnswer: d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (825\/44)\/(6\/176). Suppose -x - 5*m - o = -6*x, -2*m = 6. Is (-1)\/(2 - 215\/x) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7463039 plus -0.3?\nAnswer: -7463039.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 7*x + 5. Let b(o) = -o**2 + 3*o - 3. Let p be ((-8)\/6)\/((-2)\/6). Let c be b(p). What is the units digit of d(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m**2 + 7*m - 6. Let w be l(4). Let x(j) = -2*j**2 - 18*j - 201. Let b be x(-10). Let g = w - b. What are the prime factors of g?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -7*l**4\/4 + l**3\/2 + 2*l**2 - 2024*l. Calculate x(-2).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.57 + -0.57. Sort -4, -0.2, -0.5, g in decreasing order.\nAnswer: g, -0.2, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 269?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/435 + (858\/174 - 2). Let q(u) be the second derivative of 25*u + 0 - 1\/2*u**2 + 2\/3*u**r. Calculate q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 + 38\/4. Let d(j) be the second derivative of -j**3\/6 + 352*j. What is d(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**5\/20 + 13*i**4\/16 + 4*i**3 + 9*i**2\/2 - 9175. Factor v(h).\nAnswer: h*(h + 1)*(h + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -8. Determine v, given that 2*v**2 - v**s - 6 + 5 - 2*v**3 + v + 0*v**3 + v**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-61)\/(2745\/(-420))*6\/(-44))\/(-2).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -2\/11, -20, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x - 3*x - 2*d, 3*d + 2 = -5*x. Let h = -2 - -3. Which is greater: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)\/b)\/(b*b**5*b)*(b**(1\/3))**(2\/5)*b\/((b**(1\/5)\/b)\/b*b*b)*b*b**(-2)*b**(-6)\/b*b\/((b*b*b\/(b**(4\/7)*b*b*b)*b)\/b)*b assuming b is positive.\nAnswer: b**(-1732\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 9 (b) 5\/6 (c) -2\/11 (d) 3 (e) -316 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 + 68.02. Let m = 1.0199917 - o. Round m to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*y - 1277 - 331*y + 193*y + (-5 - 2*y + 5)*(-2 + 1 - 1) to q + a*y and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 26*g + 228. Let o be i(-19). Solve -z - 14 = -5*b, o*b = -5*z - b + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(288) + (sqrt(288) - (((0 + sqrt(288))*-3 - sqrt(288)) + sqrt(288)))) + -1 + -3*sqrt(288) + -3 + sqrt(288) + 2 + -5)**2.\nAnswer: 2856*sqrt(2) + 83281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - 2*l**3 + 2*l**3 + (-5*l + l + 6*l)*(2*l**2 - l**2 + 0*l**2) + l**3 + 3*l**2 - 3*l**2 - 7*l + 2*l**3 + 7*l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**3 + 2*m**2 + 2*m + 1. Let f be j(-1). Let w = -1263 - -1265. Solve w*n - 2 = -2*d, 11 + 3 = f*d - n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 2*b - 96 + 2*b.\nAnswer: -2*b - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4271.\nAnswer: 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32)\/12)\/4)\/(27216\/8748)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1, 1\/2, 0.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 329 - 163. What are the prime factors of g?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -2)*29\/2. Suppose -2*f + 34 = 2*j, -4*f - k = -2*j - f. Calculate the smallest common multiple of j and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23655508 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 5 = -6. Is -1\/21 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-16))\/((-1)\/(-2)). Let o(q) be the second derivative of -5*q + 0*q**2 + 0*q**3 + r*q**4 + 3\/20*q**5 + 0. Factor o(l).\nAnswer: 3*l**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5 = -2*p, 0 = -4*q + 5*p - 5 + 26 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25559491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b = -16. Let y(f) = 17*f - 17*f + b*f**2. Let g(n) = n. What is y(g(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 1. Let o(x) = -23*x - 12. Let f(s) = -12*m(s) - o(s). Suppose -4*q + 10 + 6 = 0. Let y(v) = -6*v + 1. Calculate q*f(r) - y(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407936929?\nAnswer: 89, 4583561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -613093*2*(1\/(-6) - (-53)\/(-159)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/7 - 2283*s\/7 + 6840\/7.\nAnswer: (s - 2280)*(s - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4589*v + 9889. What are the prime factors of i(-5)?\nAnswer: 2, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1302 by 62.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5*m + 6, 27*q - 23*q + 32 = m. Let t = -16 + 28. Let g be q + t - (1 + -3). Is g less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10731 + 10736. Solve -23 = -4*y - s, 67*y - p = 63*y + 5*s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*c**2 + 158 - 158 in the form u*c**2 + a*c + d and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2 + 107873608*n = 0.\nAnswer: -53936804, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -1 + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2. Let h(v) = -v - 2. Let t(u) = -2*h(u) + 3*m(u). Let y be t(3). Determine d, given that 6\/5*d**y + 4\/5*d**3 + 2\/5 - 4\/5*d - 8\/5*d**2 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**3\/4 - 315*n**2\/2 - 312*n = 0 for n.\nAnswer: -208, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35261509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1695)\/2260*(-128)\/6)\/(-54).\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 1:07 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 18 = -2*q. Let y be (-1)\/(0 + 2\/q). Suppose 0 = 4*g - 3*c - 15, 0 = -2*c - 2*c - 4. Solve 2*r = -d + 8, 4*d - 2*r + g*r + y = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24575 (base 11) to base 7.\nAnswer: -204616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*l - 1 = -40*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-4 + 7) - (2 + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 - 144 = 2*r. Let w be ((-2)\/27)\/(28\/r). Put 2, w, -3 in descending order.\nAnswer: 2, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfhhfhh. Give prob of sequence fvhf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (1 + -1))\/2. Let r(w) = 2 + 21*w**3 + u*w**2 - 6*w**2 + 5*w - 20*w**3. Let b be r(5). Solve b = -i - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 7:26 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m + 2*m + 988. Let o be (2 - (-10)\/(-3)) + m\/(-12). Let w = -1 + 2. Sort w, o, 6 in descending order.\nAnswer: 6, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 3.3, -6, -27?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 164441355 to the power of 1\/2, to the nearest integer?\nAnswer: 12823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 73923611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 15*d**2 + 14*d + 5. Is w(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*r - 6095959 = -6099543 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/323 or 54\/5?\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75.109696 - 75.08. What is i rounded to four dps?\nAnswer: 0.0297","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.1 (c) -0.59 (d) -1283\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, x: 3, m: 3, s: 3, o: 3, g: 2}. Give prob of sequence xgg.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z - 5. Suppose 2 = 3*s - 4. Suppose t = s*t. Put 5, t, z in decreasing order.\nAnswer: 5, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5.9, 3, -3\/5, 0.35, -8.7, -1\/3?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:45 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a + 6692?\nAnswer: 66bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 1.07?\nAnswer: -0.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1)*0 - (-2)\/(-7) - 5409585\/(-73815).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11e00b (base 16) to base 14\nAnswer: 226cc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-10))\/((-2)\/(-30)). Solve 4*v + l - 3*l = 8, -n*v + 1 = l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-4690)\/12)*(-416)\/(240864\/(-1351))?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 164360 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 14*g - 3903 = -3*u, u - 1317 = 3*g. Calculate the greatest common factor of 45 and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34791886 - -18\nAnswer: -34791868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 373174 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 37 (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**7\/840 + b**6\/180 - b**5\/30 - b**4\/24 - 4*b**3\/3 + 16*b**2. Let h(q) be the first derivative of m(q). Determine h(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(102)\/(sqrt(6)\/sqrt(3)))\/(sqrt(27)*6).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkrr. What is prob of sequence rk?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 8:17 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 - r**4 + 4*r**3)*(0*r - 3*r - 2*r).\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -18*u**3 - 213*u**2 + 319*u + 3486. Calculate k(-12).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y - y**3 + 4*y**2 + y + 47 - 48. Let t be (-1)\/(-1) - 3 - 1. Let m(j) = -2*j - 1. Let z be m(t). What is n(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((230\/210)\/23)\/(1\/6)*(-532)\/(-361)?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 295169, 295170, 295171?\n\"Answer: w + 295168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 - 237*o + 4545. What is f(34)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-4*(-3)\/(-36)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/93387 and -161\/367411140.\nAnswer: 2571877980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85 - 4*j**2 + 2*j + 33*j - 110*j - 49*j + 349.\nAnswer: -4*(j - 2)*(j + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 98\/(-6))*-12. Suppose -3*w - 2*f = -7*f - 120, -5*w = 5*f - r. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-241001\nAnswer: -24100.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2*2)\/((-4)\/4). Let l = 21 + -21.1. What is the closest to l in 0.4, x, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111347783 a multiple of 4641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 81*b. Let x(w) = -41*w. Give x(c(z)).\nAnswer: -3321*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qss when three letters picked without replacement from ggqqqssqsq?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/8 (b) 33 (c) -0.5 (d) 0.4 (e) -18\/11 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 321009713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -v + 690. Let n = v + 117. Suppose 0 = -5*s - m + 850, 3*m = -7*s + n*s + 840. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = 60. Let j be 48*3 - (-15)\/(6 + -11). Suppose -27*y + i*y = j. List the prime factors of y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3 = 5. Solve -k*y + 4 = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*a = -0*a + 92, -3*a = 4*b - 156. What is the highest common divisor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -11*h + 190. Let d(k) = -32*k + 570. Let b(p) = -4*d(p) + 11*x(p). Differentiate b(n) wrt n.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 85 = -4*x + 51, 4*o - 6*x = 56 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 3 + 4*p**4 - 5 + (-2*p**3 + 0*p**3 + 0*p**3)*(-2*p - 4 + 4) - 3*p**4 + 0*p**4 + 5*p**4.\nAnswer: 7*p**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -7. Let q be 2*(3 + 6\/v). Solve -3*j = -6*j + q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x**3 - 2385*x**2 + 442*x + 1744. Determine g(-217).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 8:31 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49812966 by -272202.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 + (4 - 3 - 2)*(-1 + 3 + 0) + 3 + 5 - 27)*(0*q**2 + 2*q**3 + 0*q**2).\nAnswer: -38*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1098 = 642*i - 2112 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 159154086*c**3*s**3 - 11*c**3*s**2 + 2852*c**2*s**2 - s**4 + 23*s**2 + 10 wrt s.\nAnswer: 954924516*c**3 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/6)\/(0 - 5\/1140). Suppose 2*y + a - 221 = 0, 0 = y + 2*a - p - 4. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -1711 greater than or equal to -1675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -975 + 2489. Let y = 1514.0857 - x. What is y rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80666 divided by 80666.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 5*z + 17. Let q be c(3). Let i(o) = -o**2 + o + 116. Let m be i(q). Suppose -l = -3*l + 84. Calculate the greatest common divisor of l and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 2*a**2 - 23*a + 14. Suppose 4*y - 6 = 18. Calculate the lowest common multiple of y and i(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 119. Let b = u - 66. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1412682, 2825337, 4237992, 5650647, 7063302?\n\"Answer: 1412655*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15\/7 + -61\/35. Let j = 10 - 10.5. Sort 0, j, z in increasing order.\nAnswer: j, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 1. Let t = d + -2. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 31.9. Let w = 3.6 - o. What is the fourth smallest value in 0.2, w, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**3 + 928*p**2 + 45220*p + 597816 = 0?\nAnswer: -171, -38, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 8784.12.\nAnswer: -8787.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u - 56 + 0 + 17.\nAnswer: 17*u - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001000111 + -11100000000111?\nAnswer: -10111111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + q + 10 = 5*r, 5*r - 2*q + 11 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 143*j + 1020. Give u(-7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89.1, 1, -3, -215 in ascending order.\nAnswer: -215, -89.1, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*c - 26 + 91 + 133 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-31)\/(-2) - (-17)\/(-34). Suppose p*k - 20*k + 270 = 0. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 470 + -5dc56?\nAnswer: -5d7e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b - 13*b + 18*b. Let x(r) = -4*r. What is k(x(n))?\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 324673 or 324927?\nAnswer: 324927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 53568*i + 4874705. What is t(-91)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1181298 and 129741?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 0, -70, 11 in decreasing order.\nAnswer: 11, 3, 0, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 19\/2. Which is the smallest value? (a) 0.2 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -260200 (base 8) to base 9\nAnswer: -146706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 683 + 205. Suppose 0 = -9*a + 12*a - l. What is the remainder when a is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*y - 7 = 0, 0 = 3*z + y + 31 - 72 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*y + y**2 - 24 + 14338*y**3 - 14332*y**3 + y**2 + 3 to j*y**3 + b + k*y**2 + a*y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 13*x + 86. Calculate u(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 122521459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -80 (b) 4\/7 (c) -658\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/(-6) - ((-18)\/12 + 4). What is the greatest common divisor of 4 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2. Let p(g) = 7*g + 20*g - 15*g. Let j(z) = -z. Let i(m) = 8*m. Let s be i(-2). Let n(w) = s*j(w) - p(w). Give c(n(x)).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 117532100 rounded to the nearest 1000000?\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 6. Suppose 4*f = 0, -a - 3*a + 4*f = 36. Let w = -15 - a. What is the units digit of k(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-2)\/224*-4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31\/65, 2, 1\/3, -0.49.\nAnswer: -0.49, -31\/65, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.36 rounded to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -6872\/19315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*(1 + sqrt(114)\/(((sqrt(12)\/sqrt(2) - sqrt(6)) + sqrt(6))*-6)).\nAnswer: -5*sqrt(19) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*d*k**2*n - 23*d*k*n + 7*k**2*n - 2*n - 4 wrt d?\nAnswer: -13*k**2*n - 23*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/8*(-1)\/(15\/(-18)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(133)\/sqrt(7) + sqrt(19) - ((sqrt(19) + (5 + -3 + sqrt(19) - sqrt(19)))**2 - sqrt(19))).\nAnswer: -27 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 18\/5 of a hour?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -294355 + 0\nAnswer: -294355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 132012030013 (base 4) to base 7\nAnswer: 124026646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/5, 410, 12?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3\/4 + 27681545*g**2\/4 + 387540895*g\/4 + 1356392275\/4.\nAnswer: 5*(g + 7)**2*(g + 5536295)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -39*z**4 + 33*z**2 - 2*z + 2. Let n(a) = a - 1. Let o(v) = -2*n(v) - x(v). What is the third derivative of o(u) wrt u?\nAnswer: 936*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164.375055804 - 23\nAnswer: -187.375055804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 994349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 4*g**2 - g + 1. Let u be 4\/14 + (-360)\/35 + 6. Let z be k(u). Solve 2*l + 2 = -2*c, 3*c + 4*l + l + z = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 4*s - 3. Let k(w) = w - 1. Let g(i) = c(i) - 6*k(i). Let q be g(-3). Let l(h) = 2*h - 7. Let m be l(5). Solve p + m*p = q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -26*p**4 + 3*p**2 + 4*p - 5. Let v(c) = 27*c**4 - 4*c**2 - 6*c + 6. Let m(a) = 4*v(a) + 5*x(a). Find the second derivative of m(t) wrt t.\nAnswer: -264*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, o: 1, p: 1, r: 3, h: 2, t: 1}. Give prob of picking 1 h, 1 r, and 1 f.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13433 and 404.\nAnswer: 53732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*l**4 - 132*l**3 + l**2 + 46644 wrt l?\nAnswer: 92*l**3 - 396*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3)*22*-3. Suppose -4*u + 24 = -0*u. Calculate the remainder when (x\/6)\/(3\/(-9)) is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158962, 316660, 474372, 632104, 789862, 947652, 1105480, 1263352?\nAnswer: 1421274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/w**(-4)))*w)\/w**(-9\/7)*w**(-1\/3)*w**(-12) assuming w is positive.\nAnswer: w**(-106\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -685.89 to the nearest ten.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 0*c**2 + 45 + c**2 - 5*c**3 + c - 5*c**4 - 67 as p*c**3 + u*c**2 + w + z*c**4 + k*c and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45859027 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*p = 604*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8011?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7) + (-16)\/(-56). Let i be (-2)\/(-3) + 1821\/9. Suppose d = 4*a - i - 97. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 3) + -9 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 4*v = 6*a + 16, -20 = 3*a - 5*v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 20. Let j(b) = 4 - 4*b - 3 - 16. Is j(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.14 + 0.13. Let g = p + 0.01. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139 - 136. Suppose -3*i - 3*t = -23727, h*i - 4*t + 0*t - 23755 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/30 + (-4123)\/210 and 7\/495.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**5 + 410*c**4 + 1595*c**3 - 25410*c**2 = 0. Calculate c.\nAnswer: -77, -11, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7796044.\nAnswer: 2, 61, 89, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -137*d - 3. Let r be 2\/7 - 128\/56. Is h(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/8 + 12349*w**2\/4 - 19065312*w + 38118276 = 0. Calculate w.\nAnswer: 2, 12348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, 339510, -37, -3.\nAnswer: -37, -5, -3, 0.4, 339510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14942175 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 2*l - 41*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9515.672 kilometers in nanometers?\nAnswer: 9515672000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14018 - -13917.14. What is n rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(19) - (sqrt(304) - (sqrt(304)*-2 + sqrt(304))**2)).\nAnswer: -3*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-4)\/(-8))\/(1\/(-23)))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512363 is divided by 256161?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-62)\/10 - (-14 + 6 - -1). Let z(g) = g**2 + g - 4. Let j be z(-3). Factor 0 + v*c - 2\/5*c**3 - 2\/5*c**j.\nAnswer: -2*c*(c - 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 61195500012.\nAnswer: 61195500011.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2 - 141*n + 27. Let f be h(20). Solve 23*m - f*m = 48 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11074 (base 8) to base 16\nAnswer: 123c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28097 is divided by 55.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006440785 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124286649*h**5 - 67521946*h**2 wrt h.\nAnswer: -7457198940*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + b - 4. Let t(p) = p**3 - p + 7. Let i = -20 - -23. Suppose 3*c - m - 13 = -2*m, 0 = -3*c - 2*m + 11. Calculate c*o(q) + i*t(q).\nAnswer: -2*q**3 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 1 - 1)*((2 - 3 + 4)*(-10*w + 3*w + w) - 2*w - w + 5*w)*(1 - 2 - 1) in the form k*w + f*w**2 + a and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**3 - 2228*g**2 - 415154*g - 25739426. Let c(r) = -8*r**3 - 4454*r**2 - 830309*r - 51478853. Let n(m) = -2*c(m) + 5*k(m). Factor n(d).\nAnswer: -4*(d + 186)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.5214 - -6.77362. What is x rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 1. Let x be h(1). Suppose 0*a = -2*a + y + 84, 188 = 5*a + 3*y. Suppose -3*o = -r - a, 5*o - 2*r - 52 = -4*r. Solve x = -3*n - 0*n + o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 12 = -12. Let z = k + 5. Is 75 - z - (-2)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4378*y**2. Let g(f) = -147*f. Give g(j(z)).\nAnswer: 643566*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2113.99 + -2114. Which is the third smallest value? (a) -15\/7 (b) -2\/15 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220)*2 - sqrt(220))\/sqrt(10))\/(sqrt(1100)*2 + sqrt(1100)))**2 + 2.\nAnswer: 901\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 28. Let c be j(-32). What is the highest common factor of 48 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 292, 329, 372, 415?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/8856 and -38\/3321?\nAnswer: 26568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12\/5)*h**(4\/19))\/(h**(5\/8)*h*(h*h**(-2\/69))\/h) assuming h is positive.\nAnswer: h**(-198511\/52440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56981 is divided by 147.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2\/5 + 1200*s + 17955 = 0?\nAnswer: -5985, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*b - 39590 - 161946 = 0. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176 (base 10) to base 8\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 531, -6, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1881213, -1881153, -1881095, -1881039, -1880985, -1880933?\n\"Answer: -m**2 + 63*m - 1881275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k + 4. Calculate the remainder when y(6) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8923 is divided by 8923.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 0.4, -16, -17 in increasing order.\nAnswer: -17, -16, 0.4, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 37289488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h + 2. Let i be z(6). Let o = i - -66. Suppose 5*m = -25, 5*t - 18 - 52 = 3*m. Calculate the remainder when o is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -2)\/((-13)\/3614). Suppose -5*h + 3*d + 1493 = 0, 4*d - s = -3*h + 56. List the prime factors of h.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-30261)\/22*(-72)\/54?\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 = 8. What is the least common multiple of 1 + (-4 + 5)*i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011985428 divided by 6?\nAnswer: -168664238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, -49, -206, -505, -994, -1721, -2734, -4081?\n\"Answer: -8*k**3 + k**2 - 10*k + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10*x**3 - 2*x**2 - 2*x - 1. Suppose -w + 0*w = u + 5, 3*u - 5*w - 17 = 0. What is the remainder when 16 is divided by t(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 2. Let r be p(0). Sort -3, r, 5 in decreasing order.\nAnswer: 5, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 37, 36, 35, 34, 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76.9 - -1116.9. Let u = -1045.01 + n. Let p = -0.01 - u. Which is the third smallest value? (a) 0 (b) 1\/6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.15942329 to 1 decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -15*b - 85. Calculate l(-8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31076*t**2 + 95*t - 31082*t**2 - 191*t + 9 + 96*t - 9.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 2*m**2 + 2*m + 1. Let b be f(-3). Suppose -b = -3*d - 0*a - a, 2*d = -a + 4. Is d at least 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 297\/(-33)*5\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 38 = -3*o - f, 5*f - 25 = 0. Let y be 6\/9 - (-50)\/o. Let s be (-120)\/y*(17 + -2). Round s to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 2 - 128*p**2 - 30*p - 1 wrt p.\nAnswer: -256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k, 5*k = -a - 3 + 5. Let v(q) = 42*q**3 + 5*q**2 - 9*q + 5. List the prime factors of v(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 358, -5, -2731, 5, 1 in decreasing order.\nAnswer: 358, 5, 1, -1, -5, -2731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 9:04 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n + 27*n - n**2 - 97 - 17*n.\nAnswer: -n**2 - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 9 = -n + 14, -2*r = 3*n - 12. Suppose 0 = -5*b - 4*a, -n*b = -2*a - a. Which is smaller: b or 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 15 = -m, -493*y + 489*y + 2*m - 10 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 924 = 9894. Suppose y = 4*f + 11*f. Calculate the remainder when f is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*w - w - 4945. Which is smaller: w or -113?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188081 - 4*d**2 + 11*d**2 + 188081.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -18 - 6) + (0 - -1) - 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/((-1 + -2)*(-5)\/(-20)). What is the tens digit of 1980\/c + 1\/(-1)*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 118*d - 119*d. Suppose -d*m = 6 + 9, 2*y - 1 = -m. Let b = 18 + -20. Sort b, y, 8.\nAnswer: b, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3031383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from ckcllccclcllcccccllk?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 488 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c**3 - 6*c**2 - 7*c + 4. Let d(p) = -11*p**3 - 11*p**2 - 13*p + 7. Give -4*d(g) + 7*v(g).\nAnswer: 2*g**3 + 2*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 87, 1, -5, 4.\nAnswer: -5, -2, 1, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/5, -13\/3459, 145?\nAnswer: -13\/3459","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -42. Let y = -29.1 + u. What is the closest to y in -6, -4\/3, 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16862 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 10:16 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whahhnz. Give prob of picking 1 a and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4586149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-6))\/(q*q\/(q**(-1\/2)*q)))\/(q*q**(-1\/3)*q**(-6\/11)))\/((q\/q**(2\/21))\/q**(1\/4))**(5\/2) assuming q is positive.\nAnswer: q**(-5087\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5175674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*t = -342. Let u = 244 - t. Suppose u = 5*y - 22. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 1 = -13. Let q be (0 + -2 + 2)\/d. Let m(a) = a**2 + a - 4. Give m(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241412 greater than 241411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -501?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2209 = -27*c + 31*c - 5*d, 2*d = 3*c - 1648. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -58, -123, -188?\n\"Answer: -65*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 6509877?\nAnswer: 10\/2169959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 7 = 5*m. Suppose j = -m + 47. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 6:12 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:05 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -13. Let h = -16 + u. Let q be h\/2*(-12)\/(-15). Which is smaller: q or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -5*g**3\/6 - 3*g**2\/2 + 19*g. Let z be x(-1). Factor -5 + 1 - 27*t**3 - 1 - 36*t - 3 - 54*t**z.\nAnswer: -(3*t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (96\/(-33))\/((-4)\/(-2)) and (-2 + 56\/6)\/(-3).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Let i be 11\/(11\/(-6)) + -2. Let h(r) = -r - 6. Let p be h(i). Solve 0 = p*v + 3*l - z + 10, -4*l - 4 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -0.1308?\nAnswer: -0.005232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkagvgbvkkbb. What is prob of sequence avv?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/13, 5, 0, 0.5, 2 in descending order.\nAnswer: 5, 2, 0.5, 3\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 94341504919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r + 3 = -29*r + 2*m, 0 = -r + 2*m - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/10247 - -10251\/40988. Which is the closest to 0.5? (a) 516 (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, t: 1, x: 1, k: 1, f: 1}. What is prob of sequence tfyx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 14. Let y(u) = u**3 - 2*u**2 - u + 2. Let b be y(2). Let z be p(b). Suppose 0 = r - 0*r + 3*l + 14, -3*r + z = -5*l. Which is greater: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 12 = -10*y + 5*y, -5*u - 11 = 3*y. Let f be (-200)\/((-1)\/11200*y). What is f rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*c + 78. Let z be -1 - (4*-1 - -1). Suppose c = d + z*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 656.42 to 0 decimal places.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j**2. Let x(o) = -8 + 2*o**2 + 6 + 2. Let a(c) = 3*c**2. Let d(i) = 3*a(i) - 4*x(i). Give d(p(l)).\nAnswer: 64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -8 - ((2 - -1) + -164 + 24 + 7)\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, -5, -4, 1\/519 in ascending order.\nAnswer: -5, -4, 0, 1\/519, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4 + 4*q**3 - 17*q**2 - 24*q + 36 = 0. Calculate q.\nAnswer: -6, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 4*k**2 + 0*k**2)*(-1 - 3 - 15*k + 5).\nAnswer: 30*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -416.5 + 418.5. Let u be (-30)\/(-45)*6\/(-40). Which is the biggest value? (a) l (b) u (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2. Let n(m) be the third derivative of -77*m**4\/12 - 99*m**2. Give v(n(w)).\nAnswer: -47432*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18619968 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24676)\/(-199)*10\/40?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*-3*(sqrt(192) + sqrt(192) + -1) - (-3*(0 + sqrt(147) + sqrt(147))*6 + 1))**2.\nAnswer: 1680*sqrt(3) + 10996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.96 + -0.04. Let g = k + 3.007. Round g to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7829*p - 125711 + 783347 for p.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h - 38. Let u(x) = 5. What is d(l) + 6*u(l)?\nAnswer: 5*l - 8","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from bhxhhpf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 373233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-292\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 6085151436 to the nearest 100000.\nAnswer: 6085200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3072) - (sqrt(3072) - sqrt(3072)*-3) - (sqrt(48) + (sqrt(768) - sqrt(48))**2 + sqrt(48))*1) + -1 + sqrt(3888) + sqrt(192)\/(2*sqrt(4)).\nAnswer: -433 - 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 8*p + 11. Let n be s(-7). Suppose -110 = -2*z + 2*i, 20 = -0*i + 4*i. Suppose -3*a = 7*a - z. Calculate the highest common factor of a and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -18*f + 15. Let z(m) = m - 6. Let h(o) = 1. Let v(n) = -5*h(n) - z(n). Calculate q(i) - 15*v(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3538049 - 1523781. Let i = 385732 + q. Round i to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10244033 (base 5) in base 8?\nAnswer: 252541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 127, -5 in decreasing order.\nAnswer: 127, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) -28 (c) 0.4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, m: 15}. Give prob of sequence mh.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1109 is divided by 140?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 2\/13, -13 in descending order.\nAnswer: 3\/8, 2\/13, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-570)\/(-72))\/19*(-72)\/(-80).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 3*b. Let t be q(2). Let i(m) = m**3 - m. Let r(n) be the second derivative of n**4\/3 - n**3\/3 + 122*n - 11. What is t*i(s) - r(s)?\nAnswer: 2*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -11210 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1 + 7 - a**2 + a - 5 + 6. Let u be 3\/(-6)*2*0. What is z(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1 - ((0 - -2) + -16) - (11103 + -11103)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/9)\/y**(3\/4))\/(y**(1\/4)\/(y\/y**(1\/6))))\/(y**(6\/11)\/(y*y**4)*y**(-1\/4)*y*y**(-3\/2)) assuming y is positive.\nAnswer: y**(2171\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*q + 1743058*i**2 + 4*i*q + 2308*q + 7 wrt i?\nAnswer: -4*q + 3486116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.192 - 0.301. Let f = c + -0.262. What is f rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11511\/206 > -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 75.3 and -2.\nAnswer: -150.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9515 + 9514.78682. Round x to 3 decimal places.\nAnswer: -0.213","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 + d - 1. Let j be (3\/(-2))\/(3\/(-18)). Let b = j + -9. Suppose 2*o - 2 = -b. Determine t(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s = 13*s - 43 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + z**2 - z + 10. What is b(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -483, -2\/15, -0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 5*i**2 - i - 7. Suppose 40 - 16 = -4*h. Let y be s(h). Let f = 72 - y. 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: Let j(t) = t**3 - 20*t**2 + 20*t - 27. Determine j(19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 2*a + 4, -a + 101 = 2*j + 91 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*j - 1 = 0, -3*l + 0*j = -j - 2. Let b be (-3*20\/75)\/((-4)\/60). Let v be (-170)\/(-60) + 2\/b. Solve -2*w = -v*w + l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhs when three letters picked without replacement from {h: 1, s: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 - 2*s + 1. Let m(t) = 2*t**2 + 4*t + 6. Let a(r) = 6*r**2 + 2 + r - 2*r**2 - 3*r**2 - 1. Let u(i) = 5*a(i) - m(i). Determine 6*u(w) + 4*v(w).\nAnswer: 2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -12, -34, -66, -108?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 6*z + 2. Let m be f(-7). Let c = 2 - m. Solve -5*x - c = 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 558*u - 558*u - 2*u**3 + 31 - 2*u**3 + 3*u**2 - 3*u**2 - 37*u**3 - 30*u**3 + 2*u**3 + (3*u**2 + u**2 - 5*u**2)*(-2*u + 0*u + 3*u).\nAnswer: -70*u**3 + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Let n be (-48)\/(-21) - 2\/7. Let j(v) = v**2 - 5*v + 9. Let c be j(4). Solve t + t + 6 = n*b, -c*t = -h*b + 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 868 and 2356?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 7 = -t, m + 2*t = -0*t + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1782290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*g - 837 = -72*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 0*z + 0*z - 78*z + 78*z - 25*z**2 + (2*z - 4*z - z)*(0*z - 3*z + z))*(-z**3 - 3*z**3 + z**3).\nAnswer: 51*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -19*y + 48. Find the third derivative of -26*l**5 + 26*l**y + 26*l**5 - 2*l - 28*l**2 + 22*l**6 wrt l.\nAnswer: 2640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c + -539c?\nAnswer: -5350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 791 (base 11) to base 14\nAnswer: 4b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2393036 and 8084?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.03 + -0.03. Let s = 404 + -408. Let r = 136 + -136.2. What is the third biggest value in -2\/3, s, r, l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -34\/1149?\nAnswer: -34\/1149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 - -304. Is 51 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + g = 4, -3*g + 70 = -4*t + 51 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -3*j + 10, 5*j = m - 526. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395832 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 114 from 0.66753.\nAnswer: -113.33247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-104 - (-79 + -11)) + 68 + 0\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**5\/5 - 3*q**4 - 17*q**3\/3 + 24*q**2 + 52*q + 786. Solve k(a) = 0 for a.\nAnswer: -2, -1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2506889 and 2695.\nAnswer: 12534445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 334257 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5646*b + 62123. Give u(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-3\/2)*p)*p**10\/p)**(-4\/7) assuming p is positive.\nAnswer: p**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1823.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, 5, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 26*q**2 - 13)*(-26 + 62 - 26).\nAnswer: -260*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/(-65))\/((-27)\/(-30)). Put -4, -0.4, 1, g in decreasing order.\nAnswer: 1, g, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-5\/11))\/(d*d\/(d**0\/d)))**1 assuming d is positive.\nAnswer: d**(-6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 1. Let z(j) = 9*j**2 + 7*j - 27. Let l(n) = 4*n**2 + 4*n - 14. Let u(y) = -7*l(y) + 4*z(y). Suppose -3*m = 10 + 20. What is m*w(t) - u(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -24*t - 2. Give k(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759689 is divided by 206?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36643, -37464, -38833, -40750?\nAnswer: -43215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309930 divided by 261986?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c**2*h*i - c**2*h + 3*c**2*i**3 + 58*c**2*i**2 - 5*c**2*i - 2*c*i - 641*h*i**3 wrt h.\nAnswer: 5*c**2*i - c**2 - 641*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0.2, -1\/5, 7.\nAnswer: -21, -1\/5, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3406*u**4 + 9*u + 2*u**3 + 1699*u**4 + 7*u**2 + 1706*u**4 to b*u**3 + n + w*u + v*u**4 + i*u**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y. Let o be t(1). Suppose 3*l - o*l = -5. Let c be (-3)\/l + 29\/(-15). Sort -1\/2, c, 1.\nAnswer: c, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4007430001 to the nearest integer?\nAnswer: 63304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1005180529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -4*i - 2*c, 2*i + 3*c - 30 - 5 = 0. Suppose -5*d - i = 9. Let t(f) = f**2. Let a(n) = -3*n**2. Determine d*t(g) - 2*a(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3326257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 959 = 6*r - 259. Suppose -8*p + p + r = 0. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 285 = 3*f, -2*f + x + x - 188 = 0. Let s = f + 107. Let p(v) = 11*v + 1. Calculate the remainder when p(4) is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -57.9. Which is the second smallest value? (a) -3 (b) -1 (c) -2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/4 + (-518)\/(-16)*14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 - 31 - 8*g**2 + 4*g**2 + 3*g**2 as s*g + o + j*g**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 106.4 from 744861.\nAnswer: 744754.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (14\/56)\/(1\/41) - (1 + (-63)\/(-7))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -714 (base 8) to base 14\nAnswer: -24c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005968 to 5 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let w(f) = 7*f**2 + 7*f - 71. Let j(u) = u**2 + 2*u. Let s(b) = 5*j(b) - w(b). Let x(i) = 6*l(i) + s(i). Find the first derivative of x(z) wrt z.\nAnswer: -4*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 34, 74, 134, 220?\n\"Answer: n**3 + n**2 + 16*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 33*g - 118 = 28*g, 2*t - 2*g = -80 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 3:24 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/14 and -59\/307394.\nAnswer: 2151758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-372)\/240 - 2\/(-5) and 107\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 13. Which is the second biggest value? (a) f (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-4)\/i)*i**4)\/((i**(1\/8)\/i)\/(i\/((i*i**18)\/i))) assuming i is positive.\nAnswer: i**(-49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 20*v**2. Let c(t) = -854*t. Let x(u) = -277*u. Let n(q) = -2*c(q) + 7*x(q). Calculate n(r(g)).\nAnswer: -4620*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 12:31 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 20 - 12. Calculate the lowest common multiple of 4 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 plus 10794.311?\nAnswer: 10793.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -25*w**2\/2 + 17*w - 29. Differentiate x(s) with respect to s.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 2*y**3 + y**3 + 5*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m. Let n = -3 - -5. Let p be r(n). Suppose 0 = -4*u - p + 102. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - u + 151, 0*u - 2*u = 10. Let i = n - -44. Let p(l) = 15*l**2 + l + 1. Let t be p(-1). Solve -2*x - t = -i*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 993 and 994 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9076 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191775 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2136094813?\nAnswer: 6199, 344587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 2*c - h, 0 = 4*c - c - 3*h - 258. Suppose c = -7*v + 11*v + 5*d, -2*v + 10 = -4*d. Solve -7*r = -4*r - v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2 + 2*r**2 - 3*r**2 - 4*r - 3 + 0*r. Let z be i(-4). Let u(p) = -p**2 - 2*p + 2. Let f be u(0). Sort 7, f, z in ascending order.\nAnswer: z, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 q when three letters picked without replacement from {w: 1, g: 3, j: 1, q: 1, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1033454 is divided by 51?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96.6 + 103. Let n = 6.4000142 - q. What is n rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -17.839?\nAnswer: -17.839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1592979 to the power of 1\/2, to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(0\/(-1) + (12 - 12)). Suppose h - 3*m = m + 82, -4*m + 20 = z. Let g = -41 + h. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462968 is divided by 23147?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 6*d**2 - 7*d - 6. Let o be m(-5). Let r be o\/12 + (-11)\/(-3). What is the first derivative of -16*q - 3*q**r + 16*q + 6*q**4 + 3 wrt q?\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 759944 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(500) - (sqrt(500)*-1)**2).\nAnswer: -2000 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 838*s - 20757 = 277*s for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5\/8)*k**(2\/11) assuming k is positive.\nAnswer: k**(-39\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141.3 + 141. Which is the closest to -2? (a) -4\/7 (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(153)*2*-4)**2 - ((sqrt(153)*-2)**2 + 2))*2*2 + 0)*4.\nAnswer: 734240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -222 + 222 + 0*h**2 + 2*h**2 + 30*h in the form r*h + w*h**2 + u and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.5 + 0.7. Let i = q + 4. What is the second biggest value in 1\/6, i, -1\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-186)\/(-248))\/(99\/24)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y - 5. Suppose y*w = -23 + 68. Let f(j) = -2*j**2 - 2 - w*j + 8*j + j**2. Determine f(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s = -16. Let h be ((-1)\/(-1))\/(5 + s). Sort -3, 0.4, h.\nAnswer: -3, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*1*-1)\/(276\/69)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1398.713459 - 1127.71333. Let q = -271 + z. Round q to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1140480 and 27\/1760.\nAnswer: 1140480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**3\/6 - 3*b**2 + 24*b + 4. Let t(x) = 9*x. Give t(k(l)).\nAnswer: -9*l - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1351 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132 + -147 - (-1 + -11845)?\nAnswer: 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4290323293.\nAnswer: 4290323293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/60 - (-2 - 4 - -6)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 2.64437265295?\nAnswer: 2.14437265295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75052 is divided by 25013.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -19 - (-30 + -3 - -25)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 200348277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 225 (b) -2\/17 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -119*p**3 + 375*p - 685. What is the derivative of f(b) wrt b?\nAnswer: -714*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000395986336 rounded to 7 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*p**2 + 1987*p - 329 - 1987*p + 569 - 92*p**2 - 240.\nAnswer: -61*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*-2*2.\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 166386 divided by 1\nAnswer: 166386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61881531.2 + -57060134. Let f = -4821275.199836 + v. Let q = f - 122. What is q rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*w + 16, 3*b = -3*w - w + 57. Let s = 130 - 76. What is the highest common factor of w and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 108. Let d = z - -43. Let w = d - -31. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42642, 42842, 43040, 43236, 43430, 43622?\nAnswer: 43812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 198*f + 2758*f - 11249 + 11249 as b + d*f and give d.\nAnswer: 2956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4418\/(-1786)*38*5\/10.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.98897 to 2 decimal places.\nAnswer: -3.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-13)\/7) + 666\/7 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((16\/38)\/(-4)). Suppose 3*h - 23 = l. Calculate the lowest common multiple of h and -3 - 1*54\/(-2).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z - 68 - 16 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*z + 14*z. Differentiate z + 1 - 2*i - 2*i + 3*i with respect to i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46103904 divided by -189728?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 + 7*a - 2. Let i(x) = 24*x**2 + 42*x - 13. Let b(q) = -39*h(q) + 6*i(q). Let z(g) = -2*g. Give b(z(r)).\nAnswer: -48*r**2 + 42*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/30 and 1\/381?\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1008 and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3823*c**3 - 308*c - 1 wrt c.\nAnswer: -22938*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(12)*2*-1)\/(sqrt(600) + sqrt(600)*2))**2.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 4 - 2, -5*f - 5*b + 25 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.949?\nAnswer: 2.847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 2, i: 3, u: 1, t: 2, m: 6}. Give prob of sequence mtt.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4, -26 = -3*p + p - 5*i. Let j be 4\/(-12)*(-18 - 0). Solve n - j*n = 4*m - 4, p = -4*m - 2*n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*t + 639597 + 788088 = -1254951. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2, 14, -1, -0.07?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1058*o + 833. What is the ten thousands digit of s(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*-4*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.4669 years in centuries?\nAnswer: 3.944669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14*((-2)\/(-4) + -1). Let x = -6 - w. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 5. Let n be l(-18). Suppose -5*y - 4*w = 48, -5*y - 5*w + 8 = 53. Let x = y - n. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14637 + 10117. Let p = -2688 - q. Suppose -3*b + 672 - p = -4*f, -f = -4*b - 303. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 252259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 388*k - 5. Let u(q) = -q. What is u(z(y))?\nAnswer: -388*y + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + (sqrt(700) - (2*sqrt(7) + -2)))*2.\nAnswer: -8 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - 112?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by -16\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -704541.4896 - 879.\nAnswer: -705420.4896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d - 20. Let k(q) = -3*q + 2. Let u = -21 - -20. Let p be k(u). Let f be v(p). Solve f = 3*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 2, x: 1}. Give prob of picking 1 x and 1 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - 3316?\nAnswer: -3326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6080.4196 + 0.03\nAnswer: 6080.4496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 504 and 3906?\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/15)\/((-4)\/(-1416)). List the prime factors of -6 + (-5 - (8 - y)).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -304*s - 9424. Calculate z(-31).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 140, 420, 958, 1838, 3144, 4960?\nAnswer: 7370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.5, 16982.3, -2\/31, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 67 + -51 - 61\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31199 or -31201?\nAnswer: -31199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 7171416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269100 = 14*q - q. Suppose -q = 11*z - 29*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001 + 210102012?\nAnswer: 210110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946401648?\nAnswer: 2, 3, 19716701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -876870 divided by 6.\nAnswer: -146145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3348989 to the nearest 1000.\nAnswer: 3349000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-28))\/(3 + (-60)\/21). Let i be (-58)\/(-4) + (-1)\/2. Solve 4*v + 11 = -2*j + 1, -q*v - i = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79529333, -79529335, -79529337, -79529339, -79529341?\nAnswer: -79529343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -661*i + 1049*i + 929*i - 85*i + 2282*i + (-i + 3*i - 4*i)*(2 + 1 - 4).\nAnswer: 3516*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -307.7 + 308. Suppose -4 = -2*r - 2*w - w, 0 = 4*r - 4*w - 28. Put f, -0.4, r, -0.5 in descending order.\nAnswer: r, f, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-216)\/15)\/(9\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 753260*f. Let n(d) = -3*d**2. What is n(i(w))?\nAnswer: -1702201882800*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4 = -b, 0 = -2*a - 4*b + 56. Suppose 2*n = 3*m - 115, -3*m + n = -0*m - 119. Let p = 142 - m. Calculate the remainder when p is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 101.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f + 95. Let s be x(-13). Suppose 0 = -17*k - s - 34. Which is the third smallest value? (a) k (b) 3\/2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 163, 336, 509, 682, 855?\n\"Answer: 173*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408239932 and 8152.\nAnswer: 4076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -156202 >= -1249625\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**4\/2 - 2*p**3\/3 + 10*p**2 - 16*p + 9. Solve i(l) = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + 10*s + 5. Let m be j(-5). Suppose -5 = m*c, n + 1 = -0*n - 4*c. Solve 5*a + 30 = -5*g, 0 = -n*a - 4*g - 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 16. Let h be y(9). What is the units digit of ((-7)\/h)\/((-17)\/204)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 66\/(-1 + 7) + 4 - 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -504 != -503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*y - 5*f = 188*y + 111, -5*f = 3*y + 112 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 5*r**2 - 9*r + 5. Let k be v(-6). Let l be ((-1)\/5)\/(14\/k)*2. Let i = 63 - l. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/21)\/(10\/(-35)). Suppose 3*b = c*b + r - 4, 0 = 5*b + r - 24. Suppose -4*g - 3*d = -506, -7*g + 10*g + b*d = 374. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + j**2 - 1127 - j**2 - 1063 + 2190.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 14.3909097?\nAnswer: -28.7818194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 35 + -6 + -29.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0 + 0)*(4 - 5 - 2) + 5 - 5 + 2*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 198. Let o be w(0). Suppose -10*i - i = -o. Calculate the remainder when i is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2499 is divided by 830?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w - 4*w)*(1 - 1 + w**2) + (-2*w**2 + 2*w - 2*w)*(-4 + w + 4).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63140 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**3 + 5*t**3 - t**3 + (-2*t + 6*t - 3*t)*(11*t - t**2 - 11*t) + 8*t**3 - 3*t**3 - t**3 - 7 + 5*t**3 + 7 + (-4*t + 0*t + 5*t)*(-3*t - 2*t**2 + 3*t).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 3 + 6932*l - 2*l**3 + 2*l**4 - 5801*l + 4*l**3 in the form b*l**2 + r + n*l + h*l**4 + i*l**3 and give n.\nAnswer: 1131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z. Let m(u) = 6*u + 6*u - 7*u. Determine -m(g) - 6*r(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**3*l*l\/(l\/(((l\/(l\/(l\/l**(-3))))\/l)\/l*l))*(l*((l\/((l**(-1)*l*l*l)\/l))\/l)\/l)**(-41) assuming l is positive.\nAnswer: l**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r = 16, -168 = -5*n + 2*r. What is the greatest common factor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkol. Give prob of sequence zo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.456 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206285?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((6\/(-4))\/1). Let r(w) = 2*w**3 + 4*w**2 - w - 1 - 4*w**x - w**3 + w**2. Let t(v) = -8*v**3 - 9*v**2 + 9*v + 9. Determine 18*r(s) + 2*t(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19260293096*d**2 - 3*d**3 + 19260293096*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -5 + sqrt(832) + 5*(-5 + sqrt(13)) + 4)**2.\nAnswer: -728*sqrt(13) + 3224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167944.\nAnswer: 2, 7, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19824 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m\/(m*m**14))\/m)\/m)*m*m*m**(-6))\/(m*m**16*m*m\/(m*m**(-7\/6))) assuming m is positive.\nAnswer: m**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-20648)\/928 - (-6)\/2*1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/786 and 4\/917?\nAnswer: 5502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -100011010110?\nAnswer: 100011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -2, -0.2, 1.12 in descending order.\nAnswer: 1.12, -0.2, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-1083.\nAnswer: -541.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 71467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1140*m - 1118*m - 32186 = 0. List the prime factors of m.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.6 + 10. What is the third biggest value in x, -12, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38\/9*y**3 - 8\/9 - 50\/9*y**2 + 32\/9*y + 2\/9*y**5 - 14\/9*y**4 = 0. What is y?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 5*b**2 + 4*b + 5. Suppose 0 = -8*u + 4*u - 72. Let j = 22 + u. Calculate the remainder when n(4) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**2 + 1700*z + 92451. Give i(-68).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**3 - 2*j**2 + 2*j - 1. Suppose 0*v = -3*v. Suppose -2*k - 3*k + 5 = v. Determine y(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566212.\nAnswer: 2, 353, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 43*k - 5367. Determine v(55).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*n - 14*n - 14. Let f be n\/((6\/(-2))\/(-9)). Let l(y) = -y - 1. What is l(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 0.4, -1115, -4, -1\/83, 0?\nAnswer: -1115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -4. Let k = 1 - b. Solve -2*i = -k*c + 3*i - 16, 4*c - 4*i = -20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 10*c + 16. Let u be v(11). Suppose 0 = u*i - 0 - 155. Suppose -9 = -2*y + 13. Solve -4*x + i = y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -11 - -2 - 4) + -3 + -19.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 161 = -236. Solve -s = 5*f - z, f - 26 = 4*z - 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)\/i)**(-2\/53)*i**9*i**2)**(15\/4) assuming i is positive.\nAnswer: i**(8805\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = -8. Suppose 5 = 2*j - i, -x*i - 2*i = -4*j + 19. Let g(c) = 0*c**2 + 4*c**3 + c**2 + 5*c**3. Give g(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58845, -58753, -58601, -58389, -58117?\nAnswer: -57785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiqoo. Give prob of picking 1 o and 1 q.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (17 + -55 - (0 - -6 - 12)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*sqrt(1323))\/(sqrt(1350)\/sqrt(6) - sqrt(9)) + ((sqrt(3) + 1)*5 - -4*(3 + sqrt(3))).\nAnswer: 12 + 29*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201 - 209. Let n = -10 - -15. Sort n, d, 1 in descending order.\nAnswer: n, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0556408 and 133237.14.\nAnswer: 133237.0843592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -115 + 14*j - 48 - 13*j + (0 + j + 0)*(2 + 0 - 4).\nAnswer: -j - 163","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.214 + -4.214. What is the second biggest value in 0.07, h, 0, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373944 at least as big as 373942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, o: 3, t: 13}. What is prob of sequence oo?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.7, -242, -1\/3, 3\/2, 26 in descending order.\nAnswer: 26, 5, 3\/2, 0.7, -1\/3, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 12960*l + 10497600.\nAnswer: 4*(l + 1620)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 8 = -2*f, -156*f - 4*m = -166*f - 36 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/4 - 8711*u**2\/4 - 18974735*u\/4 - 18966025\/4 = 0. Calculate u.\nAnswer: -4355, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24563 - -38062. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00069308388 to five dps.\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 4*c - 4. Let k be p(2). Suppose k = 6*x - x - 3*v - 3, -2*x = -v - 1. Suppose -25 = -f - x*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 19 + 21. Let b = 1844 - 1807. Calculate the remainder when b is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 49, 213, 489, 877, 1377, 1989?\n\"Answer: 56*a**2 - 4*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, 1, -4, -103 in increasing order.\nAnswer: -103, -4, 0, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h - 202922 + 54709. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12695.3 times -0.2\nAnswer: -2539.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5260 or 168331\/32?\nAnswer: 5260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 184669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-1)\/(-48))\/(14790\/17748).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 20\/15)\/(14\/(-6)). Let z = 8 - 5. Which is the second biggest value? (a) l (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139236 is divided by 239?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 278 to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 44?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (7580 + 755*z - 3790 - 3790)*(-3*z + z**2 + 3*z) as d*z + s*z**2 + t + g*z**3 and give g.\nAnswer: 755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 2*p - 5. Let g = -8 + 12. Let h be i(g). Let b(s) = 2*s**3 - s**2 + 4. Is b(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2 = 5*f, 2*f = -4*v - 4 - 2. Let g be (41 - 34)*(0 - f). Solve o - 3 = -g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-28 - (-4 + (1 - -9) + -16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5672 * -0.03.\nAnswer: -170.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, n: 2}. Give prob of picking 4 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 944900 divided by -188980?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 + 86. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90*x - 105*x + 0 - 3 + (2 - 1 + 0)*(-2*x - x + 2*x) + (4 + 0 - 2)*(2*x + x - x).\nAnswer: -12*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5\/4 (b) 5 (c) 4 (d) -3\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5892 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*y + 223*y = -j + 17, -35 + 4 = -y - 2*j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*f**4 - 256\/5 - 184\/5*f**3 - 976\/5*f**2 + 1184\/5*f - 28\/5*f**5 = 0. What is f?\nAnswer: -2, 2\/7, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4452.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -570.72 + 552. Round a to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -46. What is the highest common factor of 60 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:01 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.389873 to two decimal places.\nAnswer: 7.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91 and 3696?\nAnswer: 48048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, e: 3, h: 4, m: 2, c: 2}. Give prob of picking 1 b, 1 m, and 1 c.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55166131 + 2?\nAnswer: 55166133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4610 + -4?\nAnswer: -4614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 14.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3*t = -3, 2*v - 2*t = -2*v + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 13*w**2 - 30*w - 5. Determine k(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q + 2*q**2 + 17*q**2 + 19*q.\nAnswer: 19*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1625*i + 103. Is x(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55\/6 - -9. Let x = 101.8 + -102. Which is the nearest to x? (a) w (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*n + 2322 = 16*n. Solve 36*s - 45*s = n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (-1*2)\/(-2). Let z be 1\/b*(1 + 21). Suppose n = j + j - 25, 0 = j - 2*n - z. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g**3 + 21*g**2 - 5. Let y(f) = f**3 - f**2 - f + 1. Let a(c) = -2*c**3 - c**2 + 3*c - 2. Let p(k) = -a(k) - 3*y(k). Determine -4*b(m) + 22*p(m).\nAnswer: 2*m**3 + 4*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6785931590 to the nearest integer?\nAnswer: 82377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/32*-2*(-19)\/1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 374 + -373. Let l(d) = -128*d + 1 + s + 125*d. Let r be (10\/4 + -2)*8. Let i(a) = 2*a - 2. Calculate r*i(w) + 3*l(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -301085377*i**2 + i - 36647241 wrt i.\nAnswer: -602170754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117771 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126844 by -76.\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p**2\/11 + 378262*p\/11 - 162111\/11 = 0 for p.\nAnswer: 3\/7, 54037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1973?\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42159 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3014 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -29*n**2. Let d(u) = -u - 26. Let a(x) = -27. Let t(z) = 3*a(z) - 2*d(z). Let k be t(16). Let q(f) = f - k*f + 4*f. What is q(p(g))?\nAnswer: -58*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*q**5 + 2231*q**2 - 678*q + 12571?\nAnswer: -1480*q**3 + 4462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - -75?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2286 by 4.\nAnswer: 1143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*u**2 - 9*u**2 - 5*u**2 + 3*u**3 - 2*u**3 + 36*u**4 + 3*u - 7*u**2 as z*u**2 + l + f*u + k*u**3 + x*u**4 and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 220950 times -77?\nAnswer: -17013150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -566 - -722. What is the lowest common multiple of 40 and f?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1502872?\nAnswer: 2, 7, 47, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 17 = 3*b + 3, -4*b = -16. Suppose -2*y = -3*f + 200, r*y = f - 46 - 18. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0226647 + 32963.282.\nAnswer: 32963.2593353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 2*u**2 + 2*u. Let x be j(-3). Suppose l + x*b = -5, 3*l - 2*b - 14 = l. Suppose -l*d + 240 = d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260183.71 rounded to the nearest 1000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 148312141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/22*(-5)\/(-12)*(-242)\/(-55).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.4 + 13.7. What is the nearest to 5 in -5, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 24 = 0, d + 3376 = 3*k - 18740. List the prime factors of k.\nAnswer: 2, 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4605366*l**2 + 3877808*l?\nAnswer: 9210732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53232565 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12471293677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(2\/8*-2). Suppose -k*d + 25 = 3*d, -2*d = -4*f - 10. Let l = -141 - -146. What is the third biggest value in l, -1\/2, f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -483 - -478. What is the closest to 1\/4 in -1, 1\/10, 0.5, f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 15) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1978743992.\nAnswer: 2, 47, 5262617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 1 - 180\/22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -38, -49, -42, -11, 50, 147, 286?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 15 = -2*h, 25 = -5*y + 409*h - 453*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2096\/12 + -1)\/(1\/3). Suppose 4*i + y = 5*z, 0 = -3*z - i - 19 + 335. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-4*1) - 2) + -1. Let z be w - (-1 + -2 - 5). Suppose -z*l + 4*x - 4 = 0, -3*l + 2*x + 0*x = 0. Solve 2*f = l*g - 10, 5*g - 2*f = -f + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 109756455 and -1121.6.\nAnswer: 109755333.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 3. Suppose 20*p - 26*p + 12 = 0. Let k be (-2)\/(p - (-5)\/(-3)). What is t(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkqj when four letters picked without replacement from {x: 1, m: 4, j: 4, q: 2, l: 2, k: 1}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 + 108. Let p = 14207 + -198983\/14. What is the common denominator of 513\/(-110) + l\/(-135) and p?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 434112 (base 6) to base 8\nAnswer: 106074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 7*o - v - 14, -2*o + 3*v = -21. Suppose -o*k + 12 = 0, 19*k - 20*k + 2689 = 3*p. Is p a composite number?\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, 0.21, 3?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4790937037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**3 - 6*k**2 - 12*k + 11. Factor c(r).\nAnswer: -3*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 361, 815, 1361, 1999, 2729, 3551, 4465?\nAnswer: 5471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) -8 (c) -11445.74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 41*l**2 - 59*l - 4035. Calculate g(-40).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29418, -58822, -88224, -117624, -147022, -176418?\n\"Answer: r**2 - 29407*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5104 + 5112. What is the closest to 1\/2 in 1\/4, -12\/11, s, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 283?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/43 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/7))**32*(c**(-2\/9)\/c)**(-16\/5) assuming c is positive.\nAnswer: c**(5552\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -355 + 361. Let q(a) = 3*a**2 - a + 1. Let w(j) = -4*j**2 + 2*j - 2. Determine u*q(r) + 4*w(r).\nAnswer: 2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 + -73 + (-2 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -423*y - 866. Give o(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 c when three letters picked without replacement from ppgcgcazgappgagp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4440 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: Suppose -i + 1 = -0. Suppose -2*p - 45 = 3*p. Let v = i - p. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -844, -733, -632, -541, -460, -389?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164 and 2440?\nAnswer: 100040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-12))\/(8\/(-48)). Let d(o) be the third derivative of -o**4\/12 - o**3\/6 - 7*o**2. Let m be d(-5). Solve m = -k*r + 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -186 bigger than -182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3 - u + 2 + 6 - 1. Let o be n(6). Let x(r) = -r + 4. Let z be x(6). Is z >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 2*s**2 + 2*s**2)*(-29 + 15 + 11 + 7*s).\nAnswer: 21*s**3 - 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 12*w**2 + 8*w - 19. Let l be k(5). Find the common denominator of (-7)\/(-7) + -4 - l\/(-3) and 1\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 338 - 236. Let d = 23 - y. Let n = -48 - d. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 662\/415243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5687392570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*r - 17 = 0, -99 = -4*r - 91 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -3 + 6\/4. Let r = -399 + 399.3. Which is the closest to -4? (a) j (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 114006218 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4215 at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a century in months?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 385, -1\/5, -4.\nAnswer: -4, -1\/5, 385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**2*t**4 - 3126*p**2*t**2 - 2*p**2*t - 15*p**2 - 2*p*t + 2*p wrt t?\nAnswer: 12*p**2*t**2 - 6252*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -18. What is the greatest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2*0\/(-1). Suppose p = -m + 13 + 7. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1930 and -0.0618?\nAnswer: 1929.9382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45300 and 44700.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1227 + 2373\/2. What is the common denominator of (6\/260)\/(60\/5250) and x?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-171)\/42 - 31\/(527\/(-68)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a + 12. What is the units digit of (-2)\/a + (-70)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104420*i**2 + 304780*i?\nAnswer: 208840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(3\/36). Let w(t) = t**3 + 5*t**2 - 4*t - 4. Let d be w(x). Let j be (2 + d\/12)*18. What is the highest common divisor of j and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76694498?\nAnswer: 2, 53, 67, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 38974608 divided by 6\nAnswer: 6495768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-three tenths of a microgram?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 113 (b) 2\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.988 minus 151?\nAnswer: -143.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -656.9 - -656.7. Sort 0.3, -10\/17, l in increasing order.\nAnswer: -10\/17, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(475)*-4 - sqrt(475)) + sqrt(475)) - (sqrt(475) + (sqrt(475) + 2)*1))**2.\nAnswer: -200*sqrt(19) + 47504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 178*v**4 - 89 wrt v?\nAnswer: 712*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - (-4 + 1) - 0) + 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from veyevvveveyuyv.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y, 0 = -z - 0*z + 2*y - 2. Let p be ((-234)\/130)\/(z\/6770). What is the units digit of 6\/(-15) + p\/45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142614 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 10290.49.\nAnswer: -3087.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -130\/3 - 1\/6*d**2 + 11\/2*d.\nAnswer: -(d - 20)*(d - 13)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38569122.9 rounded to the nearest one hundred thousand?\nAnswer: 38600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + 0 + sqrt(1573) + 3)**2.\nAnswer: 132*sqrt(13) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-2) - 168\/42. Let k be n - (-191 + (4 - 5)). Calculate the highest common factor of k and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (228\/21)\/((-68)\/(-1190)). Calculate the highest common divisor of d and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 8) to base 14.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + i**2 - 3*i + 4. Let a be n(-3). Let g(x) = -x**2 - 7*x - 7. What are the prime factors of g(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 302 = 6*k - k, -5*n = 3*k - 168. Let m(h) = -h**3 - 4*h**2 - 3*h + 4. Calculate the remainder when k is divided by m(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.96306+-1.368325\nAnswer: 3.594735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 1, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002 (base 4) in base 11?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -554265130*h**3*i - 2*h**2*i + 396*h**2 + h*i + h - 14760*i + 1 wrt h?\nAnswer: -3325590780*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -18*t**2 + 3. Let r(h) = -6*h**2 + 1. Suppose 78*k - 4 = 76*k. What is k*v(i) - 7*r(i)?\nAnswer: 6*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 257 + -3343\/13. Let m be (-1)\/(-4) + 4*3\/(-8). Sort -3, j, m.\nAnswer: -3, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1405\/(-50) + (-4)\/10)\/((-30)\/20). Solve 58 = 13*y + o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6522661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187 - 181. What is the smallest value in k, -0.5, 1\/4, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3 - 5. Let i be (-18 + 8)*z\/5. Let p be -3*i\/(-12) - 0. Solve p = j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgssjggydsrrrr. Give prob of picking 1 g, 1 j, 1 r, and 1 s.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q - 17532 = -17526. Let z = 14 + -4. Put q, 0.1, z in descending order.\nAnswer: z, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) -6.4 (b) 6.9 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51589*c*d**2 + 13266*d**2 - 10*d wrt c.\nAnswer: 51589*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24381.5 and 737.\nAnswer: 17969165.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 136. Suppose -33*m + x*m = 5. Let o = -1\/77 - 3\/11. Which is bigger: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9699077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millimeter in micrometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 6:57 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 19975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5 - 4 - 3 + 4 = -2*d - 5*u, 2*u = -19*d - 317 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, y: 3}. What is prob of sequence yyy?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1057, 1059, 1061?\nAnswer: 1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 72. Is r <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = 30*h - 5*h - 378 - 333 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2 - 70*x**3 - 31 - 8 + 7*x - 30*x**2 + 38*x**3 + 29*x**3. Is m(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3304 and 58056?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 + 81. What is the second smallest value in f, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**5 + 633*c**4 - 73234*c**3 - c**2 - 11*c - 4286490?\nAnswer: 180*c**2 + 15192*c - 439404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 + 37*j + 149. Let i be l(-9). What is the greatest common divisor of i and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 970 - 145 = 5*w. Suppose 0 = -u + 3*v + 63, u + 3*v = -2*u + w. Calculate the remainder when 168 is divided by u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*d**2 + d**2 + d**2)*(-33*d + 69*d - 38*d - 2) as p*d**2 + j*d**3 + v*d + b and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 32004.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28655*a*w**2*z + 2*a*w*z**3 + 2*a*z**3 + a*z**2 - 8*a*z - 7*a - w**2 + 254*z**3 wrt w.\nAnswer: -57310*a*w*z + 2*a*z**3 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-10) - 84\/(-15). Suppose 2*p = g*p. Solve p*m + 2*l - 3 = -m, -l = -3*m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17267?\nAnswer: 31, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74 - -9 - 173) + 125?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -391 - -765\/2. What is the common denominator of h and 1\/3 + (-446)\/60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(3\/(-6)). Is 4 - 1 - (k + -3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6844 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**3 - 1872*o**2 + 3732*o - 1864 = 0.\nAnswer: 1, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) - (-280)\/12. Let g = m - 17. Differentiate -20 + g*w**3 - 9*w**3 - 11*w**3 wrt w.\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*(m\/m**29)\/m*m\/m**(-4\/5)*m assuming m is positive.\nAnswer: m**(-121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3982, -3968, -3962, -3964?\nAnswer: -3974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 2}. What is prob of sequence sl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 128834, -0.5, 2, 1\/3 in descending order.\nAnswer: 128834, 2, 1\/3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1090 + 413 = 5*c, -1204 = -4*c + 2*m. Let d(q) = -149 + q - 154 + c. Let k(u) = 8*u**2. Calculate d(k(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 25 = -2*i + 4*i, -2*q = 3*i - 25. Suppose -2*a = a - 5*t - 21, -33 = -4*a + q*t. Solve -8 = 5*x + 4*s + a, 0 = 3*s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 52 + 8. What is the remainder when (-2)\/(-6) - (-104)\/3 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2448, 2580, 2696, 2790, 2856, 2888?\n\"Answer: -j**3 - 2*j**2 + 145*j + 2306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z = -5*f + 4483, 0 = 3*f - 3*z - 2685. Suppose 0 = 2*w - f - 1902. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269703.\nAnswer: 1269703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 87. Suppose l*u = 12*u - 8. Let g be (12 - (-18)\/6) + (u - 6). Calculate the greatest common factor of g and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u. Let n be (16\/(-40))\/((-2)\/10). Let w(b) = -3 + 1 - 11*b**2 + 4*b - n. Let r(d) = 120*d**2 - 45*d + 45. Let z(i) = -4*r(i) - 45*w(i). Give z(l(s)).\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/30)\/(3427\/(-447)))\/((-6)\/(-12))?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/376152 and -59\/376152?\nAnswer: 376152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126 + 126. Let h(c) be the first derivative of 15 - 3\/2*c**2 - 2\/3*c**6 + 0*c**5 + 0*c + 0*c**3 + i*c**4. Find the second derivative of h(v) wrt v.\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**4\/4 + 4*t**3\/3 + 13*t**2 - 39*t + 2357. Determine n(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 0*s**2 + 2962569 - s**2 + 13*s - 2962579. What is a(8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3 = 3*v, 0 = -39*k - 0*v + 3*v - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000804044383 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 57 = -60. Solve -5*h + 1 = -5*i + 6, 3*i = -5*h + n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 8:11 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*v + 28, 0 = -v - 2. Let b be 9\/5 - (1 - i\/(-20)). Solve -w - b = -4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -2\/9, -1\/2, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 5*g - 3. Let n be p(7). Suppose -52 = -n*m + 9*m. Is 1 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**6\/72 + r**5\/24 + 7*r**4\/4 - 11*r. Let d(h) be the third derivative of i(h). Differentiate d(x) with respect to x.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1316)\/(-35) + 2\/5. Let z = 5 + -5. Suppose 0 = -2*g - 4*u + f, z = -3*g + 2*u + 18 + 31. Solve -4*c = -3*p + g, 4*c - 2*p = -4*p - 22 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 11 + 0 = -3*c, 0 = -3*t + 5*c - 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 19 - 7*b**2 + 154*b**2 + 10*b**3.\nAnswer: 10*b**3 + 147*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4. Let c(g) = -18*g - 27. What is -c(t) - 5*z(t)?\nAnswer: 18*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -20, -73, -168, -317, -532?\nAnswer: -825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 204107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2 + sqrt(605) + 1)*-1)**2.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 159 * -1.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.15 >= -813460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3546 + -28405\/8. Calculate the common denominator of t and (-790)\/168 + (-2)\/(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12357 (base 10) to base 16\nAnswer: -3045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 + -23?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 47085659 divided by 79\nAnswer: 596021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -155 + 141?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3793 (base 11) in base 14?\nAnswer: -1b30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d. Let g(p) = p**2 + 1338*p - 9. What is u(g(w))?\nAnswer: -2*w**2 - 2676*w + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 - (-32)\/(-6). Let i(m) be the third derivative of m**6\/30 + m**4\/8 + 5*m**3\/6 - 16*m**2. Let v be i(k). Round v to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 + (-546)\/(-65))\/((-1)\/(-5)). Sort 4, -5, f, 2 in descending order.\nAnswer: 4, 2, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -11*j**2\/2 + 2*j + 104. Suppose 5*s + 28 = -4*u, -s + 3*u = -0*s - 2. Calculate the remainder when l(s) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28575 - 13874. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346 less than 3?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2\/3 - 67673*v\/3 - 744524\/3 = 0.\nAnswer: -11, 67684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k + 15. Let a be u(5). Let o be (-53 - 1)*(-6)\/(-9). Is (-5)\/5 - (o - a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 8682813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3628 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*i**4 + 175*i**2 + 2992*i wrt i?\nAnswer: 84*i**2 + 350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.02 - 0.02. Suppose -4 = 3*o + 11. Which is the third biggest value? (a) o (b) -2\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 298\/43 - 23482\/559. Do -1.5 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 522, 2076, 4666, 8292?\n\"Answer: 518*p**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-220))\/((-3)\/(-5) + 42\/(-120))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -390.4357610995 + -5.5642429905. Let r = -396 - n. What is r rounded to seven decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 5*p**3 - 3*p**3 - 6*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 - 5 = 0. Let o(p) = p**3 - 3. Let v(i) = -4*i**3 + 13. Let g(x) = x**3 + x**2 + 9. Let d be g(0). Determine d*o(m) + z*v(m).\nAnswer: m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 43. Let s = g - 18.91. Round s to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -902*c**3 - 8*c**2 - 2*c + 7. Let f(v) = 920*v**3 + 9*v**2 + 3*v - 8. Let g(m) = -5*f(m) - 6*q(m). Find the third derivative of g(b) wrt b.\nAnswer: 4872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9832 divided by -2366.\nAnswer: -4916\/1183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 88620 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 4*i - 3. Let t be x(4). Let r = -5.9 - 2.1. Let z = 8.5 + r. Which is the closest to 0.1? (a) 2 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 19 + -2 + -21?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*l + x - 16, -2*l + 7 = 5*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -499 or -501?\nAnswer: -501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -167. Suppose -o = -u + 692. Suppose u + 599 = 3*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589737 is divided by 45326?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 169155 to the power of 1\/2, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 658 and 60442?\nAnswer: 423094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 47*j**2 - 47*j + 53. Let s be k(-48). Solve -l - 3*l = 2*g + 10, s*l + 5 = -5*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -50*t**4\/11 + 5180*t**3\/11 + 1648*t**2 + 6628*t\/11 + 642\/11 = 0.\nAnswer: -3, -1\/5, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 1 + 11*a - 4*a. Calculate the remainder when z(7) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0151 and -0.16373.\nAnswer: 0.002472323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16\/19*n + 168\/19 - 2\/19*n**2 = 0 for n.\nAnswer: -6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 44 = 16. Suppose s = 9 + o. What is the remainder when 37 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*c + 150 = -0*q, 0 = 5*c + 20. Let s = q + -20. Find the third derivative of 7*p**2 - 17*p**4 - p**4 - s*p**2 wrt p.\nAnswer: -432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-4)*1)\/(26\/(-104)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1029637 rounded to the nearest one thousand?\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emmm. Give prob of picking 1 e and 2 m.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 1:37 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 8. Let v(f) = f**3 + 1. Give v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 10*x + 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -1)*(-1)\/6*-15. Let r(w) = w**2 + 3*w - 31. Let c be r(a). Calculate the greatest common factor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -308.\nAnswer: -123.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 3*w - 3, -2*w - 3*y + 2 = -0*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*d + 36, d = -3*q + 2 + 7. Let x = d + 3. Let a be 11\/(-66) - (-50)\/x. Solve a*z + 2*b = 24, 4*z = 8*z - 5*b - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001 (base 3) to base 9.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-33) + (-41416)\/(-341). What is the common denominator of 5 and ((-34)\/272)\/(2\/n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -34. Is -10 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226*u - 121*u - 189*u + 127*u - 212*u to the form a*u + r and give a.\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282 divided by -3.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/402)\/(9\/(-27)*2). Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 76067.\nAnswer: 7606.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/296893556 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - f - 13, -49*v + 4*f = -54*v + 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(76) + -3 - sqrt(76)))**2 - (-3 + sqrt(76) + 5)**2)*-5 + 5.\nAnswer: 40*sqrt(19) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12053609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 434.3 + -1864.1. Round v to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/3 - w**2\/3 = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -34, -6, 44, 122, 234, 386, 584?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1134*r - 1129*r - 4*y - 3, -5*y - 11 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -4 + 7)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11523855601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*m - 1108, -163 = -3*j + 5*m + 3178. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 150\/27)*(7 + 2)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 1 + 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.10627 and -2636.\nAnswer: -2636.10627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -0.4, -0.3, 1\/2, 0.01.\nAnswer: -0.4, -0.3, 0.01, 3\/8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + f + 10. Let r = 13 - 9. Let h be b(r). Let n be (-7 - -8)\/(h\/(-4)). Solve n*s + 8 = 6*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -928.4944642 to two dps.\nAnswer: -928.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6030\/(-12)*((-9)\/5 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdpphhdpjpppdjh. What is prob of sequence ddph?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9099*c + 9074*c = -450. Calculate the lowest common multiple of 406 and c.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2630, -1141, -4912, -8683, -12454, -16225?\nAnswer: -19996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(1 - 19\/20). Suppose q + 9 = n. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2) + 6 + 2 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = -5*l, l + 3*l = 2*m + 4. Solve -4*o + 7*o - 9 = m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 220392*u - 220425. Calculate l(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*m**3 - 51567036*m + 51567036*m + 6*m**3 + 3*m**3.\nAnswer: 33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j*m**3*s*t - 7*j*m**3*t - j*m**2 + 2*j*m*s + 3*m**3*t + 7*m**2*s*t + 3*m**2*s - s*t wrt m?\nAnswer: 24*j*s*t - 42*j*t + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {q: 1, r: 5, a: 3}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-10)*r)*r\/(r\/r**20)*r\/(r*(r\/r**20*r*r)\/r)*r\/((r\/r**(2\/25)*r)\/r))**(-5) assuming r is positive.\nAnswer: r**(-1202\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2700\/700 - (-2)\/14. Suppose -5*a = -c + 2, h*c - 7 = -a + 1. Solve a = -4*r - w - 14, 1 = 3*w - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -22, 3 in descending order.\nAnswer: 3, 2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -202 + 501. Let i(s) = 6*s**3 + 2*s**2 + 2*s - 6. Let a be i(4). Let x = a - r. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlptzvzvjzjzttzzt. What is prob of picking 1 p and 1 t?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 29 = -3*b, b + 5*k + 23 = 6. Suppose 5*y - b*d - 278 = d, 0 = -y + 5*d + 64. What is the least common multiple of y and 24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444382708?\nAnswer: 2, 7, 11, 389, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.02 - -2. Let p = 0.042108 + -0.142108. Sort y, -5, p in descending order.\nAnswer: y, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/30 and 21\/86.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478*q - 1 = -z - 477*q, -3*z + 19 = q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 6*m - 6. Let w be n(4). Suppose 0 = -d + w*h - 6*h + 17, -2*d - 5*h = -46. Let z = d + -21. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkmmokkkameohkm. What is prob of sequence khe?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 10)*(4 - 1 - 1)*(79*x - 192*x - 81*x) as l*x + h and give l.\nAnswer: -2716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/826 and -119\/10.\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 7:11 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - ((-217)\/(-27) + -1))\/((-11)\/(-66))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95 and 152?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -0.2, -0.387168.\nAnswer: -0.387168, -0.2, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: a7 (base 16) to base 9\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = a. Let s(d) = 11*d**3 + 5*d**2 - 2*d - 1. Let y be s(3). Suppose -5*w + y = -25. What is the greatest common divisor of w and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 11*s + 185. What is b(-23)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*1*3)**2 + 0.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2 - 4. Let t be 1\/(d\/4) + 0 + 28. What is the derivative of -t - 7*r**3 - 5*r**3 + 28*r**3 wrt r?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1424 - 1414. Calculate the least common multiple of 24 and p.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 396351495 and 1.\nAnswer: 396351496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195278 and 18825?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2. Let y(d) be the second derivative of -5*d**4\/6 + 24*d + 3. Determine y(u(t)).\nAnswer: -250*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*r + 229 - 285 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = 2*b, 0 = b - 5*b - 12. Let r = c + 11. Let s(m) = 28*m - 2. List the prime factors of s(r).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -2599*s**6\/15 + 1691*s**3\/3 + s**2\/2 - 48*s + 30. What is the second derivative of n(r) wrt r?\nAnswer: -62376*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 + 10*m**2 - 12*m - 11. Let b be k(-8). Let c = -297 - b. Calculate the highest common factor of c and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 8455888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*d + 69*d + 3*x = 46, 5*x = -14*d + 108 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2, -0.05, -0.2, 1.8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 + 4210*s**2 - 3900*s**2 - 10*s**3.\nAnswer: -4*s**3 + 310*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*m + p + 22, -9 = m - 2*p. Let l = 0.03 + 2.97. Let r = -71\/14 - -18\/7. Which is the third smallest value? (a) r (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 53*x + 3. Let z be j(1). Let s = z + -52. Suppose 0*d - 2 = -2*h + s*d, 4*d - 7 = -h. Sort -2, h, 4, -1 in increasing order.\nAnswer: -2, -1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 240*i**3 + 4*i**2 - 5*i - 15. Let l(r) = r**3 + r**2 - r - 2. Let d(c) = 5*l(c) - q(c). Find the third derivative of d(a) wrt a.\nAnswer: -1410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28\/35*5 - -48.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13796 - 65891606*f**3 + 65891609*f**3 + 13796.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 3*w**2 - 2*w - 1. Let i be v(-3). Let r = -58 - -62. Let m be (1\/r)\/(6\/120). Calculate the highest common divisor of i and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1141 = -5*r - 266. Suppose -29 = 3*k + 5*b - 207, 3*b - 54 = -k. Let h = r - k. Does 29 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4930000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -922.76 less than -0.5?\nAnswer: 922.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -18, -2\/303, -22?\nAnswer: -2\/303","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7470 + 10580 = 1805*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3281*a**2*d + 8760*a**2 + 7*a*d + 23*a - 294*d - 16 wrt a.\nAnswer: -6562*d + 17520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -80046, -320087, -720152, -1280241, -2000354, -2880491?\n\"Answer: -80012*o**2 - 5*o - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 21*q - 69. Let f be p(4). Let g be (-1 - f)\/(-8 - -7). Solve g = 8*a - 25 - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(700) - -1*sqrt(700)) + 3)**2 - 3*(sqrt(700) + -1)) + (4 + sqrt(700)*3*-3 + sqrt(700))**2.\nAnswer: -550*sqrt(7) + 47628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 3*r**2 + 2*r. Suppose -24*a = -20*a - 1588. Let j(c) = a + 4*c + 11*c**2 - 397 - 4*c**2 + 2*c**3. Calculate 2*j(q) - 5*s(q).\nAnswer: -q**3 - q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 69. Let c be 9\/q - 2\/(-8). Let r(t) = 60*t + 2. Is 17 a factor of r(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/15)\/(2\/20). What is the common denominator of 4 + a + 724\/(-56) and -109\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d + 132 = 0. Let r = 46 + d. Find the common denominator of 91\/18 and -1*((-95)\/r + 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12, -1, -354, 0, -5, 5 in descending order.\nAnswer: 12, 5, 3, 0, -1, -5, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 18 - 8*n + 35 + 2*n.\nAnswer: -2*n + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -228, 5\/6, 5, -14\/5, -3\/5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/900*(-55)\/(3300\/270).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**4 - 12603*m**3 - 597891*m**2 - 4576317*m + 5186808 = 0. What is m?\nAnswer: -37, -11, 1, 4248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1335795*g. Let f(l) = 4*l**2. Calculate k(f(v)).\nAnswer: 5343180*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9085, 12010, 16887, 23716?\n\"Answer: 976*f**2 - 3*f + 8112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77 - 338a773?\nAnswer: -338a82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 192\/33 + 4\/22. Solve 6*o - 3*o - z = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + r**2 - 1. Let o be q(2). Let s be 3\/((-2)\/(-14)*-1). Let u = o - s. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2220 - -1302?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26919382069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4817730673 a multiple of 10335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*2 - (-6493)\/302)*(-6)\/33.\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.633876114 rounded to one dp?\nAnswer: -13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/357749 and -29\/32928.\nAnswer: 34343904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.28886 and 0.08.\nAnswer: -0.0231088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1065.9 - 995. Let p = 71 - g. Put -0.2, -0.4, p, 7 in descending order.\nAnswer: 7, p, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 130*u + 7066. Calculate the smallest common multiple of p(-9) and 6.\nAnswer: 17688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 0)*(-28)\/(-4). Let z(m) = 5 - 20*m + 21*m - 1 - 34*m. What is the units digit of z(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 5 - 4973*v + 4973*v + (3 - 2 + 1)*(0*v**2 + v**2 + 0*v**2) + 189 - 32*v**2 - 189 - 2*v**2 + v - v + 3 - v**2 - 3 as y*v**2 + s*v + h and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 165228 + -243456. Let l = w + 136228. Round l to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/126 and -193\/64980.\nAnswer: 454860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 c, and 1 u when four letters picked without replacement from {s: 7, u: 1, n: 4, b: 2, c: 1, p: 2}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13076760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -737*(-10)\/(11 - 1). What is the highest common divisor of 134 and y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 v when three letters picked without replacement from {m: 3, d: 3, v: 2, x: 7}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*1)**2 + sqrt(2052)\/sqrt(3).\nAnswer: 6*sqrt(19) + 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.346003 rounded to 1 decimal place?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ullbalulaxff. Give prob of sequence fua.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31941 - 3\/7*g**2 + 234*g.\nAnswer: -3*(g - 273)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 5*f + 4. Let p be ((-4)\/(-8))\/((-1)\/(-12)). Let v be l(p). Let s = 15 - v. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 24 - 27 + 3*q**2 + 5*q - 2*q - 2*q**2. Let u = -7 - -3. Calculate z(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*p**3 - 111*p**2 + 111*p**2 + 43*p**3 + 21*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-18))\/(2\/(-8)*2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Let a(i) = -2*i**2 + i**h - i**2. Let f(q) be the first derivative of -q**2 + 4. Determine f(a(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*t**4 + 3*t**4 + 4*t**4 + t wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y + 560 = 26*y. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/((-5)\/15*3). Let i be 8\/o - 12\/80. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -636, -611, -566, -501, -416, -311, -186?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in 0.1, 4, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 788 + -780.82. What is z rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 74, 146, 244, 368, 518, 694?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*w + 41 = -2*f, -4*f - 33 = w. Is (f - 152)*2\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -22. Let v = -0.047 - 22.953. Let h = -27 - v. Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -93, -0.18, 3\/4, 5, 8\/27?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away -0.21?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 1236, 4308, 10324, 20268?\nAnswer: 35124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100101011101101 (base 2) in base 9?\nAnswer: 78231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/42*783\/435.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n = 0. Suppose 2*i - 4*u + 18 = 2, n = -4*u - 16. What is the common denominator of i and (82\/(-78))\/((-2)\/(-6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 12. Let w = p + 0. Let a = -1 - -4. What is the biggest value in w, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7052949 or -7052940?\nAnswer: -7052940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/31)*u)**(-29)\/(u**(-1\/12)\/(u\/u**(-3\/22)*u)) assuming u is positive.\nAnswer: u**(-101929\/4092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/11 in 1\/2, -2, 5, -2\/3, -9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + -1. Let h = 7 + -6.81. Let b = 3.81 + h. Put y, -3, b in descending order.\nAnswer: b, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -1 (c) 1\/8 (d) 1.4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, -21 in descending order.\nAnswer: 5, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3621 and -4.127.\nAnswer: -14943.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51897 at most -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2363*u = 1603*u + 1994*u - 95018 for u.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 + 1.49. Let h = u - -0.210033. What is h rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.893511 years in millennia?\nAnswer: 0.009893511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 35*y - 108. Let d = 441 + -425. What is the tens digit of z(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b93 (base 14) in base 4?\nAnswer: -1321131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.46 and 0.5?\nAnswer: 7.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1647 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-14) - 2\/7. Let w = t - 0. Solve w = 4*l - 9*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 7:36 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1763 is divided by 793?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22\/3 + 85\/12. Are 0.05 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - (-1)\/(-2)*4. Solve 4 = b*u - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 2*j**2 - 2*j**2 + (-1543*j + 4 - 3 + 1577*j)*(0*j**2 + j**2 + j**2).\nAnswer: 67*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -36\/13, 0.004?\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 12. Let y = 179 - 175.1. Let v = y - p. What is the second smallest value in -3, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2241 + -20210221?\nAnswer: -20213012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 - 40*u + 32. Let q be a(-14). Suppose q*d = -3*l + 8, 0 = 4*d - 2*l - 22 - 6. Solve -d*t + 4 = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -2\/5, -0.3, 204?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26623, 52695, 78767, 104839, 130911?\nAnswer: 156983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 9 - (-1 + 4)) + 24\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 0) + (-2 - 86\/(-18)). Let n = 0 + 0. Which is the closest to 0.3? (a) n (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.86 - -1.14. Put a, -0.1, 5, 4 in decreasing order.\nAnswer: 5, 4, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1556 + -1547. Calculate the smallest common multiple of s and 554.\nAnswer: 4986","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34768 is divided by 319.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 314 - u**2 + 312 + 2*u**3 + u. Suppose -5*z - 9 = -6*z. Calculate the remainder when n(2) is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**3\/3 - 11*w**2\/2 - 9*w + 5. What are the prime factors of c(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/23160 and 11\/252?\nAnswer: 486360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 6:53 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381072?\nAnswer: 2, 3, 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*l - 9, 0 = -q - q - 5*l + 18. Let g be q*2 - (-63)\/7. Let u be (1\/1)\/(-1 - -2). What is the highest common factor of g and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - sqrt(208)*6) + -2)**2.\nAnswer: 80*sqrt(13) + 5204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 + 7351?\nAnswer: 7368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**3 + x**2\/2 - x - 4. What is d(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j**2 - 7*j - 1. Let k(o) = -11*o**2 - 14*o - 1. Calculate 7*g(t) - 4*k(t).\nAnswer: 2*t**2 + 7*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -18 (c) 3 (d) -2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = -2. Let f be (115 - g)\/(4\/(-30)). Round f to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/9*(13\/(-52) + -2). Are -134 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + b**4 - 3 + 69*b**4 - 2455 + 2455 + (2*b**2 + 3*b**2 - 7*b**2)*(-2*b**2 + 6*b**2 - 5*b**2) - b**4 + 3*b**2 - 3*b**2.\nAnswer: 71*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14 + -19 + 10\/2. Solve y = -5*a + 12 - 22 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/4840 and -107\/5967236.\nAnswer: 59672360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13783261759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -95, -201, -327, -479, -663, -885, -1151, -1467?\n\"Answer: -o**3 - 4*o**2 - 87*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f. Let n(m) = 41423*m - 1795. Give n(z(p)).\nAnswer: 82846*p - 1795","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -14*u + 12. Let y(k) = 9*k - 8. Give 5*b(t) + 8*y(t).\nAnswer: 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 94 + 54 = 0. Let t = p + 123. Calculate the remainder when t is divided by (-2)\/5 - 294\/(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*i - 10. Suppose -i*b - 48 = -6*b. Solve b = 3*s + s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = -8*s - 5, 2*o = -17*s + 95 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - 0. Let o = -29.17 - -43.17. Let b = o + w. What is the smallest value in b, 3, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**7\/140 + c**4\/8 - c**3\/3 - 9. Let a(u) be the third derivative of x(u). Differentiate a(m) wrt m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177517856281805 - -0.4?\nAnswer: -177517856281804.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35778, 74394, 113010?\n\"Answer: 38616*l - 2838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3332 and 75684?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172 and 53062?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5642.267 millilitres?\nAnswer: 5.642267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 3*k + 6. Let x be l(6). Let t be (-146)\/(-18) - (-5 + 276\/54). Calculate the highest common factor of x and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1, 1\/3, -3, 1\/2, -6 in descending order.\nAnswer: 1, 1\/2, 1\/3, -2\/11, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 275251.4 decades in months?\nAnswer: 33030168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -3807\nAnswer: 1142.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttjsjereee. What is prob of picking 1 j, 2 r, and 1 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 17*v - 75. Let r be 0 - (-3 + -4 + 3) - 2. Suppose -3*y + 63 = 3*s, -5 = -r*s + 2*y + 37. Is t(s) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -500*i**3 + i - 1012 wrt i?\nAnswer: -1500*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206770788 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/17442 and 14\/2565.\nAnswer: 87210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 - 2*y**2 + 4*y**2 + (1 + 3 - 2)*(-y**2 + 0*y**2 + 3*y**2) + 32*y + 2*y**2 - y**2 - 1125 + 1126.\nAnswer: 4*y**2 + 32*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2871 rounded to 3 decimal places?\nAnswer: -0.287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 11:39 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 2. Let x be z(3). Let c = 732 - 730. Put 6, x, c, 1 in descending order.\nAnswer: 6, c, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 3*u**2 + 7*u + 5. What is d(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-945)\/(-147))\/5*((-48)\/(-36))\/(-4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(33))\/(sqrt(24)\/(-3*sqrt(8))).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 7*i - 5. Let l be s(-5). Put -4, -5, l, 1 in decreasing order.\nAnswer: l, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 0 = 3*i - 11, 2*s + 300 = -8*i + 316 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (434\/(-93))\/((-4)\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -31) + -33 - (0 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -130*o**3 + 3*o**2 + 2*o. Let z be h(-2). What is the common denominator of 53\/2 and 1*-2 + z\/128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 6*z + 9. Suppose -3*t + 2*l + 12 = 0, -2*t - 2*t - 5*l = 7. Let m be j(t). Which is the closest to -1\/3? (a) -4 (b) 2 (c) 4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73100 a multiple of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69655612.\nAnswer: 2, 13, 67, 19993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 8*z**2 + 2*z + 10. Let s be k(-8). Let a be (s\/14)\/(-3)*-1. Put a, 0, 1\/3 in decreasing order.\nAnswer: 1\/3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**4 - i**2 + 1850*i**3 - 2 - 917*i**3 - 931*i**3 + 91*i in the form k*i**2 + w*i**4 + r*i**3 + p*i + d and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*q - 30*q = -355. Sort -2, 4, q, -28 in descending order.\nAnswer: 4, -2, q, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/21 (b) -1\/4 (c) 5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 229 + -143. Suppose -o + 130 = k, 0 = k - 5*o - u - 38. Let a = k + -79. What is the greatest common factor of a and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-10))\/((2\/42)\/(1\/(-3)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**15)**29)**20 assuming t is positive.\nAnswer: t**8700","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35642373 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 134 = d. Let c(u) = -u**3 + u**2 - 4*u - 129. Let x be c(0). Let h = d - x. 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: Does 234 divide 15653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/71)\/(n\/(n*n*(n\/(n\/(n*n**10*n)))\/n)) assuming n is positive.\nAnswer: n**(854\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6 + 1. Suppose -o*c = -1 - 9. Solve c*z + 3 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c - 8*c + 17*c to the form x + z*c and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + n + 3. Let s(i) = -1. Let v(c) = o(c) + 5*s(c). Let u be v(-3). Let d be 12*(-1)\/(-12)*u. Solve 0 = -3*y + d*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(-4*w**2 - 4*w**2 + 5*w**2)*(294*w + 437*w - 109*w).\nAnswer: 3732*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l - 4. Calculate h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534*t + 4805 = -210*t - 217*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -5*y**3\/6 - 44*y. Let f(h) = 4*h. What is f(s(t))?\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -804*b**4 + 11709*b**2 + 346944*b - 44 wrt b.\nAnswer: -9648*b**2 + 23418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/40 - 11\/40. Let t(m) = m + 6. Let h be t(-8). Let s be h\/(-4) + -1 + 0. What is the nearest to s in z, 0.3, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*q - 4*q. Let z be ((-40)\/12 + q)*(-22)\/28. Let s = z + 641\/462. What is the common denominator of s and -7\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*g = -11, -9 = -67*j + 70*j - 3*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1770\/17? (a) -1\/3 (b) -0.5 (c) 2\/15 (d) -2\/7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -225 + 3270?\nAnswer: 3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 0.1, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 11:59 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110454986.\nAnswer: 2, 73, 756541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3331751 is divided by 1665834?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**5\/20 + 151*b**4\/12 - 4961*b**3\/3 + b**2 + 24*b + 2. Find the first derivative of k(y) wrt y.\nAnswer: 6*y + 302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 9953.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5382715015.\nAnswer: 5, 17, 63326059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 4*j + 4 - 6, -5*j - 7 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**3*c - 864*a*o**2 + 12*c + 30*o**2 wrt a?\nAnswer: -3*a**2*c - 864*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418*q**3 + 3*q + 428*q**3 - 3*q.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = -3*i - 5*t, 0*i + 3*i - 2*t = -289. Let v be (-2)\/(-6) - 2033\/(-21). Let d = v + i. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -11605, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 - 7*k - 9. Let v(m) = 7*m**2 - 15*m - 17. Let n(t) = 5*q(t) - 3*v(t). What is the tens digit of n(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10cf - -13e?\nAnswer: 120d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12051 = 5*w + 3*m, 3*w = 45*m - 48*m + 7227. Let x = -2409 + w. Suppose 5\/6*v**5 + 0*v**2 + 0 + 0*v - 5\/6*v**4 + 0*v**x = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8*p + 26 = -2*g, 4*g = -3*p - 77. Let s = g - -48. Suppose -3*y + 2 = -s. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 363\/180)*26 + (-17)\/(26 - -25)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**3\/6 - 11*l**2\/6 + 19*l\/6 - 3\/2 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2196 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017938699 rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 252.207 + -252. Let m = 0.107 - u. Let h = -11 + 1. What is the smallest value in 1\/3, m, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4199791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 10*y**2 + 12*y - 7. Calculate z(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*f = -2*i + 49, 28 = 2*i + 2*f. Let z(o) = -o**3 + 8*o**2 - 5*o + 2. What is the remainder when z(3) is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (5 - 0) + (-7 - -11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + l**2 + l. Let q be y(1). Let n be -2 - q*(-2)\/2. What are the prime factors of ((-2)\/(-2))\/n*-31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**3 - z**2 - 4. Is s(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -20, 3, -4, 4, 0.2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -366\/23. Let w = -5901.6 - -5901.9. Which is the second biggest value? (a) m (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*l*u - 32893*l - 7986*u + 32 wrt l.\nAnswer: 9*u - 32893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -144789, -144790, -144791, -144792?\n\"Answer: -y - 144788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 3*c - 2. Let v be q(6). Suppose -4*u + 38 = 3*m, -17 = -3*m - 3*u + v. What is the first derivative of 8 - 1 - 3*h**3 + m*h**3 - 3 wrt h?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147641424 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -375*m + 794*m + 990*m - 3426*m as c + v*m and give v.\nAnswer: -2017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 39606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 26. Let z be a(14). Let d be (12\/z)\/((-1)\/3). Let w(j) = -26*j + 14. List the prime factors of w(d).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 - -33?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**4\/4 - 53*g**3 + 8427*g**2\/2 - 157*g. Determine t, given that k(t) = 0.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 603 - 191. Suppose 6 = k - 5*q + 109, 4*k - 4*q + u = 0. What is k rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.1. Let d be (-5)\/(-56) + 4\/14. Let t = d + -25\/24. What is the third biggest value in 1, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*y + 13199 = -55*y - 83*y + 81*y for y.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -158*a*r**3*t + 7*a*t - 16*r**3*t - 9*r**2 - 66*r*t wrt r?\nAnswer: -948*a*t - 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 380133 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002.056 times 7?\nAnswer: -7014.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from kcksckcvvccekhkcs?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6)*(4 - -15 - -1 - (-119572)\/(-5678))\nAnswer: 24\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-38)*h**(-3\/4))\/(h**(-18)\/(h**37*h)) assuming h is positive.\nAnswer: h**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99)*-3)\/sqrt(9).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7665 + 232*l - 825*l - 7665 as a + t*l and give t.\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 - d. Let s(y) = -y**3 - 7*y**2 + 6*y - 11. Let w(v) = -s(v) + 5*t(v). Determine w(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*v - 2165 = 932. Let u(w) = -w**3 + 5*w**2 + 8*w + 3. Let b be u(6). Suppose -b*h - 324 = -v*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-3*c - 3*c + 5*c)*(2 - 2 + 2)*(-39*c**3 - 18*c**3 - 280*c**3).\nAnswer: 674*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n = 4*a - 14, 5*a - 30 = -5*n. Let y(k) = 5*k**2 + 3*k - 2. Let o(v) = 6*v**2 + 4*v - 3. What is a*y(c) - 3*o(c)?\nAnswer: 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**7\/525 + c**6\/60 - c**5\/25 + 342*c**2. Factor r(o).\nAnswer: 2*o**2*(o - 1)*(o + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 7, -3, 4 in descending order.\nAnswer: 7, 4, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 10. Suppose 2*z - 2 = u, -3*p - z + 95 = -p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = 0, 85*q - 82*q - 26 = -4*o. What is the greatest common factor of 579 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 287509*a + 3*a**3 - 24*a**2 - 287509*a.\nAnswer: 3*a**2*(a - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**4*p + 73373*a**4 - a**2 + 25*a*p + 4*a - 50*p + 2 wrt a.\nAnswer: -24*a**2*p + 880476*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h**2 - 3 + 3)*(4*h - 3*h - 2*h) + 2*h**3 - 221*h + 2 + 2*h**2 + 221*h to the form d*h**3 + g + x*h + v*h**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92145409.\nAnswer: 41, 2247449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gerze. Give prob of picking 1 r, 1 z, and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11 = 4*w - 6, -4*o = -w. What are the prime factors of w\/(-8)*(-48)\/1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -0.0061, 4, -4\/3?\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 12.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -5, 41, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.27 - -0.14. Let n = 2.87 - m. Let y = 1.3 + -0.3. Which is the second biggest value? (a) y (b) -1\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4347, -4343, -4337, -4329?\n\"Answer: m**2 + m - 4349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23107*h**3 - 11629*h**3 + 3*h**2 - 12121*h**3)*(-3*h + 5*h + h).\nAnswer: -1929*h**4 + 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -33*l + 140. Let w(m) = -m**3 + m**2 - m - 2. Give w(l).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u**2. Suppose 0 = -11*o + 12*o + 11. Let l(h) = -h**2 - 12*h - 16. Let p be l(o). Let f(c) = c**2. Determine p*f(n) - b(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 5*w + 24. Suppose -64 - 2 = -3*h. Calculate the remainder when h is divided by (w\/2)\/(7\/14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 1. Suppose -5*c = y + 22, -3*y = y + c + 12. Let h(j) be the first derivative of -5*j - 3 + 5*j - j. What is y*x(w) - 2*h(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 5*k - 4. Let z be q(-6). Let o(d) = 17*d**3 + d + d**z - 12 + d + 2*d**2. Let y be o(8). Round y to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(1728)*-5).\nAnswer: -sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002593729 to five decimal places.\nAnswer: 0.00259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24252 and 1894617?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 - (8 - 5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5467462 divided by 14?\nAnswer: -390533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Let i = -2 - x. Let d = -0.7 - 0.3. Which is the second biggest value? (a) d (b) i (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -6. Let g = 6 - l. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**4\/5 + 486*l**3\/5 - 13438*l**2\/5 - 1295910*l + 1298500 = 0.\nAnswer: -175, 1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 10:13 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 17 + 1 = 0. Suppose 108 + d = i. What is the greatest common factor of 44 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.9 - 0.9. Let m be (-45)\/6*8\/10. Let o be m\/(-28)*(-2 + 4). Which is the closest to -1? (a) o (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - a + 2*a)*(-2054*a**2 + 8038*a**2 + 4638*a**2) to the form x*a**3 + u*a**2 + j + m*a and give x.\nAnswer: 21244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1 - 3*f**2 + 4*f**2 - 4*f**2 - 4*f + 2*f**2. Let b be q(-3). Find the common denominator of -47\/9 and (b\/(-20))\/(2\/76).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5295, 5296, 5297, 5298, 5299?\n\"Answer: l + 5294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -i - 6*i + 4*i - 3*r, -r - 1 = 0 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5*m + 3)*(-3*m**4 + 0*m**4 + m**4) - 28*m - 37*m + 61*m - 204*m**5.\nAnswer: -214*m**5 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21028*l**3 + 63016*l**3 - 21020*l**3 - 20974*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105024)\/21880)\/(4\/35).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (11 - -1)) + (87 - (158 + -51))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/19315062 and 19\/68?\nAnswer: 656712108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from nzxzn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/10? (a) 0.4 (b) 74154 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 3*z**6\/4 + 3*z**5\/2 - 5*z**4\/8 - 5*z**3\/2 + 2*z - 7. Factor w(r).\nAnswer: (r + 1)**3*(3*r - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or 759?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7586?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 1, g: 2, q: 1}. What is prob of sequence yg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-15)*-5 + -4. Let r(q) be the first derivative of 0*q + 0*q**w + 0*q**2 - 1\/12*q**4 + 2\/15*q**5 - 1 - 1\/18*q**6. Find z, given that r(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(48) - sqrt(17)) + sqrt(136)\/(sqrt(40)\/sqrt(5)) - (-5 + sqrt(170)\/sqrt(40)*2).\nAnswer: -3*sqrt(17)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 4 - (2 - (1 + 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136639104 to the power of 1\/3, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60477671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1. Let u(p) = -2*p**2 - 9. Suppose y + 0*y + 9 = 3*l, l = -y + 7. Let k(q) = l*v(q) - u(q). Let d(r) = -r**2 - 6. What is -5*d(o) - 2*k(o)?\nAnswer: o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 548 and 4110.\nAnswer: 8220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 9. What is the common denominator of (a\/(-12))\/(((-18)\/(-9))\/282) and ((-235)\/240)\/(2\/(-4))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2627184 and 58800?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-136)\/(-36) + (-2)\/(-9). Suppose 31 = 3*d - 3*r + 13, 3*r + 14 = d. Solve p = d - i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9667724 nanograms to micrograms.\nAnswer: 0.0009667724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o + 5. Let x(l) = 3*l - 2. Let a(j) = -2*h(j) - 5*x(j). Suppose -2*k = 2*k - 8. Let w(d) = d**2 + 2*d**2 + 0*d**k. Give a(w(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 13*u**2 - 16*u - 1. Determine z(12).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -597, -1206\/7, -0.3, 3, -2, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*y + 112*y = 208 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2 + 1)\/(-1))\/(-1). Let t = z - -6. Suppose h - 17 - 2 = -t*g, -5*g = 4*h - 46. What is the lowest common multiple of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/3892*139)\/(1\/(-38))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 18 = -8*g. Suppose 12*b = g*b + 6. Suppose -2*f = 7 + 3. Sort -2, f, b in decreasing order.\nAnswer: b, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2002*p = 1137*p - 34529 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-16)\/(544\/17))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197, 723, 1597, 2813, 4365, 6247?\nAnswer: 8453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -542\/237 - -26293\/7110. Let h = 4\/137 - -13523\/1370. Calculate the common denominator of h and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107 + 106.999749. Round q to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 2067\/53 - (14*-1)\/(13 + -15).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**4 + 4*y**3 - 7*y**2 - 6*y = 0.\nAnswer: -1, 0, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2324 = 4*o + 2*r, r + 590 = o + 6*r. Let q = -174 + o. Is q a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3875 is divided by 961.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 808963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 129582878 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167 - 212. What is the fourth smallest value in 2\/5, -0.2, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 5*f = -10*r + 1, 3*r + 4*f + 16 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otqqqtttqtttttttotq. What is prob of sequence ooq?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**9\/3024 + r**8\/840 - r**7\/840 + r**3\/2 + 5*r. Let p(k) be the second derivative of f(k). Find c, given that p(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.3 - 21. Let o = w + -0.9. Sort -1, -2\/7, o in increasing order.\nAnswer: -1, -2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/21)*d**(-6\/13) assuming d is positive.\nAnswer: d**(-139\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8124 = -372. What is the greatest common factor of r and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 0*o - 1 - 1\/70*o**7 + 1\/2*o**4 - 5\/2*o**3 - 1\/10*o**6 - 67*o**2 + 3\/10*o**5. What is d in q(d) = 0?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - ((-495)\/(-25))\/(-3). Let s be 7\/3 - (32\/(-24))\/(-4). Is u not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*s**4 + 17*s**3 - 3*s**2 - 5*s + 444929 wrt s?\nAnswer: -156*s**3 + 51*s**2 - 6*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 6. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -597 - -596.99999427. What is x rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 6*t**3 + 5 + 4*t**2 + 0 + 1. Let a = -2 - -4. Let u(n) = -8*n**a + n**3 - 6*n**2 + 3*n**2 + 16*n**3 - 5*n - 17. What is 11*q(j) + 4*u(j)?\nAnswer: 2*j**3 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*p - 5, -4*g - 3*p = g - 19. Let v be (12\/(-10))\/(6\/(-15)). What is the lowest common multiple of g and 3\/(v\/3 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7166066376 to the nearest integer?\nAnswer: 1928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2144\/5226*(-65)\/(-20)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152439 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3188666*p + 54037558*p + 6.\nAnswer: 50848892*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-2)\/10)\/(20\/(-100)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1745817 divided by 1\nAnswer: 1745817","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - c + 6 = -0*c, 3*c + 9 = 0. Which is smaller: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 376\/31? (a) 2 (b) 1\/4 (c) -4.6 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0217 (b) 8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -58515495 divided by 3901033?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 29, 8\/7, -0.5, 3\/7, 24, -2\/17?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, i: 3, k: 1, x: 4, w: 3}. What is prob of picking 3 t and 1 i?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.444055ml to litres.\nAnswer: 0.000444055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-4 - sqrt(425) - sqrt(425) - sqrt(17) - 2*sqrt(2057))**2.\nAnswer: 47753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**2 + 3*q**2 + 5*q**2)*(-6851*q - 681861 + 41422*q + 681861).\nAnswer: 69142*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*l + 2. Suppose -l*z + 2 = -3. Let h(c) = 6 + 16*c**2 + 2*c + 0 - 7. Determine h(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564101.632 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 100, 0, 38, -9 in increasing order.\nAnswer: -9, -1, 0, 38, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 0, -3.\nAnswer: -17, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**5\/20 + l**4\/4 + 4*l. Let j(d) = 2*d**3 + 4*d**2. Let w(t) = 4*j(t) - 5*y(t). What is the third derivative of w(g) wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*x + 27. Put -1, 1, x in increasing order.\nAnswer: x, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-55)\/(-220))\/(2\/(-16)) - (10 + -1449) is divided by 49?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.53985943 + -3.54. Round a to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 12*i**2 - 12*i + 11. Let c be y(1). Let k(m) = 2*m - 15. What is k(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w - 35233 - 15103 = 0. Does 88 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5945 at least -6560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1.9, 665 in descending order.\nAnswer: 665, 1.9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 18*u**3\/13 + 56632*u**2\/13 - 555496*u\/13 - 126240\/13 = 0.\nAnswer: -3156, -2\/9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, -0.94, -51, 3?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -715 and 2.6717529.\nAnswer: -712.3282471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 262*j - 3897. Let n be y(15). Solve 35*x - n*x + 10 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -278, 0, -5 in descending order.\nAnswer: 0, -3, -5, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 25249, 385.\nAnswer: 1, 385, 25249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11703\/1140 + 2 - (3 + -7). Let a = v + -291\/19. What is the common denominator of a and 31\/9?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04457 and -2.\nAnswer: -0.08914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c = 5*x - 20, c + 5*x - 8 = 0. Solve -2*p + b = 0, 0 = -c*p + 2*b + 2*b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**4 - 18*l**4 - 2 - 2*l**2 + 2*l**4 + 4*l**4 + 4*l**3 - 3*l**3 to the form k*l + i*l**4 + p + b*l**2 + j*l**3 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y**3 - 8*y**2 - 45*y + 23. Let r be q(10). Suppose 26*n = r + 8607. List the prime factors of n.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 = 4*z + 68. Let q = -41 + z. Which is smaller: 4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-15) - (-341)\/(-4620)*-4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -1) + -2*(-2 + 12 + -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15941 + -13810. Sort -2, r, -5.\nAnswer: -5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94316 * -0.1.\nAnswer: 9431.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*f - 4*f + 8*f + 1)*(334592*f**2 - 296*f**3 - 334592*f**2).\nAnswer: 2960*f**4 - 296*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16646422 (base 7) in base 5?\nAnswer: 410022103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 25, -3*v = 5*n - 48 + 8. Suppose -4*o - p = -17, 4*p + 21 = v*o - 16. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 34 - 199 = -4. Solve 22*t + 1 = l*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z + 8*z = -294 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103840*q - 151*q**3 + 103840*q - 3*q**3 - q**3 + 2*q**3 + (-q - 2*q + 2*q)*(-4*q**2 - 4*q**2 + 0*q**2))*(-q**2 - q**2 - q**2).\nAnswer: 435*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1088) + (-2*(2 + sqrt(1088) - sqrt(1088)) - sqrt(1088)))**2 + sqrt(1088) + ((sqrt(1088)*-3)**2 + 5 - sqrt(1088))).\nAnswer: 39252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 443.8 - 509. Let u = 61.47 + t. Let d = 0.27 - u. Which is the biggest value? (a) 2\/23 (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(8\/5)\/g))\/((g*g**(2\/27)*g)\/g))**8*((g*(g\/g**(-2\/19))\/g*g)\/(g\/(((g*g**(2\/7))\/g)\/g)))**44 assuming g is positive.\nAnswer: g**(212056\/17955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 701982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(4 + -8 - (-1 - 1))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 968987\/7 - 138136. Let l = -291 + z. What is the nearest to 1 in -0.18, l, -2, -1?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 306 + 76. List the prime factors of l.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 956861695 and 1138.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*t - 754, 0*o = -5*t + 5*o + 750. What are the prime factors of t?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {q: 5, l: 5, y: 8}.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084 a factor of 1985888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and -10 - (-17 + 10) - -203.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*v + 10. Let q be (-2181)\/(-6) + 2 + (-7)\/v. Let k = q - 201. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - r**2. Calculate the remainder when 69 is divided by w(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7208540 and 240.\nAnswer: 86502480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1\/(-8)) + 0. Let l(y) = 2*y**3 - 93*y**2 - 42*y - 27. Let b be l(47). Let n = 207 - b. Sort 3, n, m.\nAnswer: m, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303015 (base 8) in base 4?\nAnswer: 120120031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*a - 5*i, 0*i + 3*i = -3. Suppose 2*p = a*n + 66, 5*p + 2*n - 3*n - 188 = 0. Suppose 3*z = z + p. What is the remainder when z is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -776069, -776051, -776035, -776021, -776009, -775999?\nAnswer: -775991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 44*y**2 + 35*y - 290. What is i(-45)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 29. Which is the closest to k? (a) 4 (b) 1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2746*l + 1559. Is h(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064 divided by 344?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**3\/5 - 7032*x**2\/5 - 8428*x + 112416\/5 = 0?\nAnswer: -7026, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2 + 24\/(-16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145 + 145.2. Suppose -3*o = 9 + 21. Let z = -25\/3 - o. Which is the closest to 1? (a) d (b) z (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100653660 (base 7) in base 14?\nAnswer: -ad06d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 661 - 600. Calculate the highest common divisor of q and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 4\/5, 83?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*b + 203*b + 2*k + 5 = 0, 0 = -7*b - 4*k + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1459728 and 53\/8028504.\nAnswer: 16057008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 546.7 - 546.8. Let v = -0.07 - -5.07. Which is the nearest to z? (a) -0.1 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000112354395 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Suppose 4*b + 30 = 2*b. Let w be 11\/b - 2\/(-5). Which is bigger: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -3. Let o = 133 - 135. Is ((-1 - o) + h)*29 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**9)\/(d**(1\/7)*d))\/(d\/(d*d*(d\/(d*d\/d**1*d))\/d*d))**8*d*d\/d**(3\/5)*d**(1\/11)\/d*(d\/(d\/(d\/((((d\/d**2)\/d)\/d)\/d)*d)))**25 assuming d is positive.\nAnswer: d**(61349\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4\/5 - 22508*p**3\/5 + 31493644*p**2\/5 + 95496492*p.\nAnswer: 4*p*(p - 2821)**2*(p + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 112000011?\nAnswer: -112000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = q + 48, 27 = -d + 2*d - 4*q. Let w be 10\/35 + 68\/7. What is the remainder when (-3)\/(-15) + 428\/w is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 8, 3, 24 in decreasing order.\nAnswer: 24, 8, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1481798536504*s + s**3 + 1481798536504*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + -1 + -3)*(-3)\/6. Let s(x) be the second derivative of -l*x**2 - 1\/3*x**3 + 0 - 3*x. What is the first derivative of s(q) wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.83 + -0.17. Sort 0.6, -0.3, a in decreasing order.\nAnswer: 0.6, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -11*g**3 + 28*g**2 + 65*g - 261. Is l(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.2 (b) 1\/6 (c) -1 (d) 15.8 (e) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2069762 plus -10?\nAnswer: -10.2069762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 2. Let k be g(0). Let n = -79 + -68. Calculate the common denominator of -25\/4 and 0 + k - n\/(-30).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g*v**6 + 1795*g*v - 2022*v**6 - 51*v**2 wrt v?\nAnswer: -600*g*v**3 - 242640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 398592193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/594 and 79\/16.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -292 + 4 + -2 - 6. What is the units digit of o\/(-32) + (-2)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 194410 = -i - 39, -324070 = -5*l + 4*i. Is l a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108401230*l**4 - 258443727*l**2.\nAnswer: 2601629520*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/10 + (-2)\/(-20).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**7\/14 - 7*v**6\/40 + v**5\/10 + 11*v**2. Factor g(t).\nAnswer: 3*t**2*(t - 1)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02894062707 to five decimal places.\nAnswer: -0.02894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 752916453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -59, -0.3, 17533?\nAnswer: 17533","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/587 and -3\/11.\nAnswer: 6457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 8*y**2 - 10*y + 11. Let s be r(9). Solve 0 = -v - s + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/1529262 and -119\/218466.\nAnswer: 1529262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-1.14.\nAnswer: -0.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from knssnnn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7980 and 9918?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 12. Let i be (10\/(-3))\/((-12)\/9 + l). What is the greatest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 - 1) - (-6 + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, m: 11}. What is prob of picking 1 m and 2 z?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*b + b. Suppose 17 = 2*t + b. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*z - 99*z + 38 = 2*v + 102*z, 20*v - 3*z = -80 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c**3\/9 + 826*c**2\/3 - 4436*c\/9 + 656\/3 = 0 for c.\nAnswer: 4\/5, 1, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(12)\/(sqrt(2)*-1)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = -6. Suppose -4*i = i + 4*a - 9927, -s*a = 2*i - 3970. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8338, -16670, -25000, -33328?\n\"Answer: d**2 - 8335*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 0.1 (b) 1\/3 (c) 2 (d) 12 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71510931.7 rounded to the nearest one million?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 686628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2469, 4943, 7415, 9885, 12353, 14819, 17283?\nAnswer: 19745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9602b (base 12) to base 2\nAnswer: -110000000110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1342512 - 227?\nAnswer: 1342263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 4) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-384)\/(-66) - 6) + 64\/1320. What is the biggest value in 5, 1\/6, z, 0.076?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -2 + 2 + 1. Let y = 18 - 39. Let d be (-70)\/15*18\/y. Put d, x, -4 in decreasing order.\nAnswer: d, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 28*v - 36. Let g(r) = r**3 - 10*r**2 - 10*r. Let u be g(11). List the prime factors of j(u).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1012824 divided by -1042\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 4)*(-z - 2*z + 2*z)*(1 + 2 + 0).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2792*q**2 - q. Let o(s) be the second derivative of s**4\/12 + 9115*s. What is w(o(n))?\nAnswer: -2792*n**4 - n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22857 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -121.8 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 u when four letters picked without replacement from uwmwgmmwmm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 27*d - 26*d + 2641763 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -902, -1823, -2762, -3731, -4742?\n\"Answer: -2*z**3 + 3*z**2 - 916*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6510.03639 + -6510. Round w to 3 decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**4 + t**2 + 10*t - 1. Let r(v) = -v**2 + 1. Let y(l) = n(l) + r(l). Find the second derivative of y(b) wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 - -72.3. Let g = -0.7 - r. Let c = 0.1 + 1.9. What is the third biggest value in 2\/7, g, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from qppi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458*r = -491*r + 132. Let n(v) be the first derivative of 2*v**3\/3 - 2*v**2 + v - 3. Determine n(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21.75*0.0003\nAnswer: 0.006525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -544*d - 110*d**2 + 544*d + (d + 0*d + d)*(4*d - 2*d + 0*d).\nAnswer: -106*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1722 - -1648. Put 0.5, 0, q in ascending order.\nAnswer: q, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165931 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95 + 96)*1*1\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 318*l + 1343. Is x(25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6 - (-6 + (-6 - -10))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k - 216. Let v be o(32). Let x = -424 - v. What is the smallest common multiple of 10 and x?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 <= -157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*sqrt(11)*-2 + -5 + ((4*(sqrt(11) + sqrt(176)))**2 - ((sqrt(77) - (sqrt(77)*2 - sqrt(77))) + sqrt(77))\/sqrt(7))).\nAnswer: -26*sqrt(11) + 8790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.28? (a) 0.4 (b) -1.2 (c) -0.05 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*x + 38*x - l = 4, 40*x = l - 80 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-11)*r\/(r\/r**15)*(r**(-6\/5)*r*r)**(-50) assuming r is positive.\nAnswer: r**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1023421 (base 5) to base 15\nAnswer: -5226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124241 is divided by 62118.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/407204009 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -162.784095 + 0.046095. Let o = 163 + q. Round o to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242394247?\nAnswer: 12107, 20021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 66*v - 378. Give r(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8385\/1853 >= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - (-32)\/6) + (-10)\/18. Let a = -27.95992 + -0.04008. Sort x, a, -0.5.\nAnswer: a, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*h. Let q = -278.4 + 277.9. Let f be (-1)\/(10\/6) - (-1)\/1. Sort h, q, 0.2, f in descending order.\nAnswer: f, 0.2, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 6*r**2 + 2*r**2)*(r**2 - 4*r**2 + r**2 + (-3*r - 3*r + 5*r)*(-5*r + 5 - 5)).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-12)*3 + -4. Put m, -1, -5 in descending order.\nAnswer: m, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 30896 = -10*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-14)\/16 + 1). Suppose -2*v = 224 - 194. Let c = n - v. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1828 - -11003\/6. Let g be (10\/(-72))\/((-6)\/(-1128)). Let v = g - -27. Find the common denominator of x and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 3*m**2 - 3*m)*(-3*m - 2*m**3 + 3*m) - 2*m**5 - 3*m**3 + 3*m**3 + m**5 + 6*m**5 + 15*m**5.\nAnswer: 14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 2544623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(2 + -2 + -1). Put v, 2\/7, -0.02 in increasing order.\nAnswer: -0.02, v, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8356*o**3 - 7959*o**2?\nAnswer: 50136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + b**2 - b - 1. Let z(p) = -p**3 - 6*p**2 + 2*p + 3. Calculate 4*u(d) + z(d).\nAnswer: 3*d**3 - 2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + k + 4. Let g(c) = -c**3 - 17*c**2 + 38*c - 2. Let p be g(-19). Let q be j(p). Solve 8*h - q = 3*h - 2*t, -2*h + t = 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2711 and -6?\nAnswer: 2717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -l - 158. Let q = 147 + l. List the prime factors of q.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19608 + 19607. Which is the nearest to 19? (a) u (b) 3 (c) -4\/3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -73.682 + 4.4\nAnswer: -69.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + 2 + -3 + 6 + -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 86 - 380 = 0. Suppose 4*f = 2*m + m + 74, -2*m - f - l = 0. Let q = -4 - m. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79274971?\nAnswer: 79274971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 38 = 13*p. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 1. Let k = -1 - 0. Which is the nearest to 1\/2? (a) k (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + h - 93. Let w be p(0). Let v = -63 - w. Calculate the greatest common divisor of 12 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 5*i**2 - 1. What is l(-5)?\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*c**2 - 224*c + 760.\nAnswer: -2*(c + 10)*(15*c - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -33812296 * 5\nAnswer: -169061480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s = 4. Solve 0 = n - y - s*y - 1, -2*y - 4 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g + 255. Suppose 3*h = -i + 13, h = -4*i - 4 + 1. What is the remainder when g is divided by 26*(6\/i + 4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, i: 1, f: 1, u: 1, s: 1, n: 1}. What is prob of sequence niw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214 - -15499329.\nAnswer: 15499115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - j + 1. Let h(x) = x + 0*x - 5*x**2 - 7*x + 0*x**2 + 4. Suppose -2*k = -s + 1, -3*k = 2*k + s + 6. Determine k*h(t) + 6*r(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 268511597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4838 + 3?\nAnswer: -4835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -18. Let p = t - -11. Let x = -3 - -7. Which is the nearest to p? (a) 0.5 (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 p, and 1 h when three letters picked without replacement from {h: 4, p: 5, u: 3}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 242, 3, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ff13 (base 16) to base 3\nAnswer: 10022120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43777147357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60878?\nAnswer: 2, 61, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 3:40 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*s + 22, s = -2*l - 3*s + 16. Suppose -2*y - 6 = -4*y, -l*m + 5*y = -13. Suppose 5*i = 135 - 0. Calculate the remainder when i is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**8\/168 - 3*d**6\/20 - d**5\/15 - 9*d**2. What is the third derivative of j(c) wrt c?\nAnswer: -120*c**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 273.8 + 6.2. Let g = 280.2 - q. Which is the closest to g? (a) -2\/7 (b) 2 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 401 + -398. Suppose 445 = 4*h + t, -u*h - t + 221 = -h. Calculate the greatest common factor of 21 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 11 = o - 3*o, -4*r - 5*o = -32. Suppose -5*t = 2*u - 477 + 39, -2*t = -r*u - 179. Solve b = -83 + t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12235, 12241, 12259, 12295, 12355, 12445, 12571?\n\"Answer: x**3 - x + 12235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -321 - -324.34. Let r = a + -0.34. Suppose -28*v + 26*v + 10 = 0. Which is greater: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34454522 (base 6) to base 13.\nAnswer: -2b3a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 1. Let c be b(-6). Suppose 5*m + 24 = 184. Let t = m - c. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49650 is divided by 13013.\nAnswer: 10611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -13, 19, 168 in increasing order.\nAnswer: -13, -2, 3, 19, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7233, -5804, -4371, -2934, -1493, -48?\n\"Answer: 2*t**2 + 1423*t - 8658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.189 and 0.4.\nAnswer: -0.0756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200 + -73. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6990)\/(-1631))\/((-50)\/(-84))\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 72 = 2*h. Let v(l) = -l**3 - 6*l**2 - 6*l - 10. Let s be v(h). Solve 2*m - 4*b = s, 5*m = 2*b + b + 30 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqj when three letters picked without replacement from {t: 5, j: 10, w: 1, q: 4}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -5796*r + 5801*r + 45 + 85, 0 = -2*w + r - 43 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28769, -106784, -236811, -418850, -652901, -938964?\n\"Answer: -26006*s**2 + 3*s - 2766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -33 (b) -5\/4 (c) -0.6 (d) -18 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 3 (b) 2\/11 (c) -1\/4 (d) 118\/79 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 13*d**2 - 15*d + 12. What is k(14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(-h**3 - 4666 - 8*h**2 + 4666) to the form b*h**3 + l + x*h + n*h**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8*c - 1. Let y be q(4). Let i(s) = -y + 7*s + 31. Let u(d) = 2*d. What is i(u(x))?\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -14*q + 232. Let m be f(16). Let j(w) = 11*w**2 - m*w - 18*w**2 + w**2 + w**3 + 10. Calculate j(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10680.7656 + 829.18.\nAnswer: -9851.5856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -23.41. Let n = w - -5.59. Suppose 0 = 4*h - 0*h. What is the closest to h in -0.1, -1\/3, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237530 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r + 15. Let t be q(-7). Suppose -y - t = -2. What are the prime factors of (3\/y)\/(1\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 2*u - 5*q + 2, -5*q + 8 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 89?\nAnswer: -44.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -112*w - 4. Let l be f(1). Let k be (l\/(-8))\/((-1)\/(-6)). Suppose 0 = 2*p + 25 - k. What is the remainder when 122 is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 407 and 176?\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 7978 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 (base 12) in base 5?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24713*d*o**3 + 17*o**3 - 384*o**2 wrt d?\nAnswer: -24713*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (sqrt(125) - ((sqrt(125) + -2)*2 - sqrt(125))))**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-38)\/114 + (-2)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*w**2 + 0*w + 18 + 0*w - 92*w**2 as b*w + z*w**2 + r and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*d - 2*d + 6*d - 26*d**2 + 12*d as x*d**2 + n*d + p and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -6. Let f be (-9)\/18*-12*r. Solve -4*m - 5 = -f*m + j, 4*j = m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 86*j = -425 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 0.2, -0.2, -7, -19663 in descending order.\nAnswer: 0.2, -0.2, -0.7, -7, -19663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*o = -4469 + 11609. Let t(x) = 25*x + 70. Let w be t(5). Calculate the greatest common divisor of w and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 2.66, 14, -0.02 in descending order.\nAnswer: 14, 2.66, -0.02, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12534 is divided by 132.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7888 divided by -4?\nAnswer: 1972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 9*c**2 + 9*c - 8. Suppose -3*a - h = -0*a - 20, a - 5*h - 28 = 0. Let n be m(a). Let f(x) = -x**2 - 6. What is f(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4355 is divided by 279.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 98 + 19. Calculate the common denominator of 4*(-3)\/8 - (-105)\/24 and (p\/48)\/((-2)\/(-8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 19. What is the least common multiple of q and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/199, -0.1 in descending order.\nAnswer: 3\/199, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, w: 3, o: 5}. What is prob of sequence fw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -13. Calculate the remainder when c is divided by 0\/(-2) + (-2)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/3 - 2\/3. Let c be 9 + l - (-61 + 6\/3). Calculate the greatest common factor of c and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 150\/810*(2 + (-28)\/35). Put l, -0.3, -1\/574 in ascending order.\nAnswer: -0.3, -1\/574, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0, -5, 1.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 2, 1702*l = 1705*l + 6*x + 12 + 27 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 54.6 times 15\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 455.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45.6 + 56. Let q = -10.39999838 + t. Round q to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 21552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 0*v - 7*v - 5*v**2 + 2*v**2 - 50*v - 9*v = 0.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15 - (-3 + (4 - 3)) - 2. Suppose 0 = -r - 4 - 10. Let s = d - r. Sort s, 4, -13 in decreasing order.\nAnswer: 4, s, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -4742211?\nAnswer: 4742205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/4 - d**3\/3 - d**2 + 5*d + 26. Let t be g(0). What is the second smallest value in 0.26, -1\/7, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 4. Let x be 0 + (2 - (4 - 2)). Let n be -1*x\/(3*-1). Determine w(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -335.37943 to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 84*m**2 + 268*m + 569. Give v(-87).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 365*x**2 - 189067*x\/7 - 222\/7.\nAnswer: (x - 74)*(2555*x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 115038 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -259248547*n**3 + 60*n**2 + 163*n - 692 wrt n.\nAnswer: -1555491282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 2:20 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-320679 + 320679 + 873*n**2)*(-3*n**2 + n**2 + n**2).\nAnswer: -873*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 9. Let l(s) = 2*s**2 + 6*s + 9. Let v be l(h). Suppose d + 0 = v. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 times -559?\nAnswer: 62049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -554 - -186?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15*((-6)\/(-1))\/((-41)\/((-943)\/230))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + -91. Put -5, -1, j in descending order.\nAnswer: -1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 z when three letters picked without replacement from {o: 2, g: 2, x: 3, t: 1, z: 6}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09100107 - 0.091. Round b to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -87 - -37b?\nAnswer: 2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + l - 2*l**3)*(22*l - 28*l + 15*l + 0*l - 2*l + l + (1 - 1 + 2*l)*(1 + 1 + 0)) as n*l**4 + w*l**3 + r*l**2 + f + u*l and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**14*(o\/(o*o**(-1\/3)))**(7\/5) assuming o is positive.\nAnswer: o**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230210 (base 5) to base 16.\nAnswer: 1ff4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7809?\nAnswer: 3, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/8*((-73018)\/(-1430) + -51).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598 minutes before 3:26 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 9287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3702 + 465.8298. Round h to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, q: 2, r: 1}. Give prob of sequence zz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -3*b**5\/20 - b**3\/2 + 8*b**2. Find the first derivative of y(c) wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34290 + -12484. List the prime factors of g.\nAnswer: 2, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 7. Let x be q(-8). Let v = 5 + x. Calculate the least common multiple of 2 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(7) + 0)*5 + (sqrt(7) + -2)*1 + 5*-6*(sqrt(7) + -2 + sqrt(7)))*-6 + 2))**2.\nAnswer: -3587328*sqrt(7) + 13672768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2. Let k(a) be the second derivative of -7*a**4\/12 + 8*a. What is k(m(o))?\nAnswer: -7*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + f - 103. Let a be x(0). Let m = -66 - a. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437969341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.1 + 19.2. Let i = -16.1 + z. Which is the second biggest value? (a) -1 (b) 4\/9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27128083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 505248*1.2\nAnswer: 606297.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*x + 1032 + 1820. Calculate the smallest common multiple of 20 and x.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20823842, -20823832, -20823822, -20823812, -20823802?\nAnswer: -20823792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4452150 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + (-1 - (-24 - -43 - 32))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, j: 5, k: 2}. What is prob of picking 1 c, 1 j, and 2 k?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 12:51 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a - 12*a**2 + 9*a**2 + 4*a as c*a + m*a**2 + n and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 12. Let g be -37 + 1 + (1 - v). Let f be (g\/(-6))\/(2\/4). Calculate the highest common divisor of 104 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 570 = 2*x, -x + 82 + 217 = 4*m. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 336*r + 7056.\nAnswer: 4*(r - 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 912 (base 14) to base 12.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.8 (c) -302566 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**3 - 123*o**2 + 127*o - 251. What is q(40)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8)*(-8)\/2. Let r(u) = -2*u**2 - 2*u - 1. Let l(p) = 2*p**2 + 7*p + 2. Let q(y) = y**2 + 3*y + 1. Let m(w) = 3*l(w) - 7*q(w). Give x*m(k) - r(k).\nAnswer: k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1145 + 1153. Let f(b) be the first derivative of -r - 8\/3*b**3 + 0*b**2 - 9*b. Find the first derivative of f(s) wrt s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 20. Let z be j(0). Suppose s - z = 6*s. Let a = s - -6. Solve 20 = a*n + 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*q**3 - 83 + 83)*(4 - 1 - 4) + 2*q**3 + 2*q**3 - 2*q**3 + (4 - 2*q - 4)*(-q**2 + 1 - 1) as l*q**2 + r*q**3 + o + d*q and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749 a factor of 6371049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -191912.\nAnswer: 1\/191912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11355, 10100, 8845, 7590, 6335, 5080?\n\"Answer: -1255*p + 12610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {h: 4, a: 1, m: 1, q: 1, z: 2, i: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178 + -172. Let a be (0 + 0)\/(l\/(-6)). Solve a*d = -2*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1346*r - 6. Let c(l) = 3*l. Calculate c(w(x)).\nAnswer: 4038*x - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**4\/16 - 29*h**3\/8 + 36*h**2 - 3287*h. Factor g(a).\nAnswer: -3*(a - 3)*(a + 32)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2 - 10 = h, h - 3*i + 4 = 0. Let s = 841 + -506. Suppose -h*o - 3*t = -s, 3*o - 114 - 361 = t. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -n - 2*n. Let m be 3*(-3 + 1936\/n). Is 10 a factor of 8\/(-44) + m\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4998 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(sqrt(3) + sqrt(15)\/(sqrt(5)*1)))**2 + 1.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 321*b**5 + 1543*b.\nAnswer: 6420*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p - 54. Calculate c(0).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*p - p + 5, -50 = -5*b + 5*p. Suppose 6*w + 6 = 9*w. Suppose 5*g - w*g = 3. Solve d - b = -g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 8:14 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19586995)\/3 + (30\/(-24))\/(6\/8). Round g to the nearest one hundred thousand.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = 13*n + 18. Suppose -b = 2*r - 14, -n*b = 2*r + 3*r - 37. Solve -b = 5*c - 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100\/31 - -107\/62. What is the closest to g in 2\/7, 5\/4, 5\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486814399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1135 - -2?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + sqrt(17)))**2 - (sqrt(17)*-3 + 4).\nAnswer: -93*sqrt(17) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(146 - 144 - (-1 - 3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 m, 1 l, and 1 z when four letters picked without replacement from {m: 2, n: 1, l: 2, z: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -a54 (base 12) in base 16?\nAnswer: -5e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7344813959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 - 10)*(-1 + 0 + 2)*(-f**4 - 3*f**4 + 2*f**4).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2049 or 2\/7?\nAnswer: -2\/2049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, a: 1, z: 2, t: 9}. Give prob of picking 4 n.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 563*n**3 - 461*n**2 + 24*n. Let u(x) = -1125*x**3 + 922*x**2 - 54*x. Let a(g) = 9*d(g) + 4*u(g). What is the third derivative of a(s) wrt s?\nAnswer: 3402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 1 = -3*i - 0*c, -5*i + 5*c + 25 = 0. Let y = i + -5. Let m be 2\/y*(-30)\/25. Is 1 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 3855?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = -3*o. Suppose o*q - 61 - 189 = 0. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 26*b**2 + 224*b + 217. Determine p(33).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7726.917 - -7731. Round k to 1 decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 24*y**2 - 24*y - 27. Let r be u(-23). Is -24\/5 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -2561*h**4\/6 - h - 1417. Let s(v) = 4*v**2. Calculate s(x(n)).\nAnswer: 104939536*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -278*u**4 - 3*u**2 + 4*u + 606734.\nAnswer: -1112*u**3 - 6*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1705? (a) 0.6 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - 36. Determine w(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5142236 by -233738.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1142 - 5?\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1002421 - 2?\nAnswer: -1002423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -55*l + 58*l. What is the derivative of 4*p**2 + 3*p**l - 9*p**2 + 2*p + 3 wrt p?\nAnswer: -4*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16238*h = -16452*h - 4708 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -9*n**5 - 129*n**4 - 150*n**3 + 90*n**2 + 159*n + 39 = 0.\nAnswer: -13, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 255833\/(-283696)*(-8)\/13 - -1*(-3)\/(-14)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*k + 9, -3*k - 4*r + 9 - 4 = 0. Which is the nearest to -2\/7? (a) 1\/3 (b) -2\/5 (c) k (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 1343b8b?\nAnswer: 1343b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -30*z**2 - 13*z - 15. Let t(s) = -15*s**2 - 7*s - 9. Let g(h) = -3*m(h) + 5*t(h). Let v(r) = -r**2. Determine g(v(b)).\nAnswer: 15*b**4 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 137269, -195, -2?\nAnswer: 137269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4127584 divided by -4\nAnswer: 1031896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 66 - 2?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kww when three letters picked without replacement from {w: 3, k: 13, d: 2}.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 160729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -28*t. Let u be k(-2). Suppose 0 = -5*w - x + u, -w + 24 = -0*x - 3*x. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 7*v**2 - 2*v + 3. What is l(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 3*j + 5*j)*(1 + 5 + 2) + (2 - 5 + 4)*(1 - 1 + j) + 1 + 2*j - 1 + 2 + j - 2.\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 307 + 3*h + h**2 + 3*h**2 - 3*h**2 - 48 to n*h + c + j*h**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4614679 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 - -44. Let m = t - -72. Sort -2, -4, 5, m.\nAnswer: -4, m, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p**2 - 3*p. Let s(k) = -115*k**2 + 1. Determine c(s(q)).\nAnswer: 79350*q**4 - 1035*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -1 (c) 5\/3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - 1.98. Let p = -157 - -153. Which is the third smallest value? (a) -1\/6 (b) p (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -29*z - 168. What is f(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-72)\/(-54))\/(((64\/(-12))\/8)\/47). Which is smaller: c or -278\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/4 - 53*b\/2 + 105\/4 = 0. What is b?\nAnswer: 1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 887712522 - 4243265887417\/4780. Let a be (2\/(-956))\/((-10)\/(-8)). Let k = a + i. Which is smaller: -8 or k?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -2, 3245231, 4 in descending order.\nAnswer: 3245231, 20, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*g**3*l - 14743*g**3 - 1741*l - 66 wrt g.\nAnswer: 21*g**2*l - 44229*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 18be0a7?\nAnswer: -18be0a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*-4*2\/(-16). Let v = 1 - 0. Factor -2*j**2 + 3*j**o - v + 0.\nAnswer: (j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467718 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*p*q**3 - 3*p*q**2 + 5132*p*q*y + 8*p - 2*q**3*y + 4*q**3 + q**2*y - 930*q*y - q - 2*y wrt p?\nAnswer: 5*q**3 - 3*q**2 + 5132*q*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {p: 2, v: 2, l: 1, u: 1, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 13*k - 54 + 131 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 644325436 to the nearest integer?\nAnswer: 25384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5096612 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((84\/(-420))\/((-16)\/(-10)))\/(-9).\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b2 + 57b77?\nAnswer: 57e29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 7*z + 4. Let b be j(7). Let i be b\/(-2) - (-3 + 2)*29. Let w = 23 + i. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from lflvflllvvvggglu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, z: 6}. What is prob of picking 1 z and 1 p?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12576854 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5990 divided by 1\nAnswer: 5990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, -11, -43, -75, -107, -139?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/3*b**4 - 40\/3*b**3 - 80\/3*b - 30*b**2 - 25\/3 = 0. Calculate b.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.88381, 2, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -160.969?\nAnswer: 8.04845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 9, 46, 111, 210?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 37 - 12 = 0. What is the lowest common multiple of ((-4)\/m)\/((-2)\/(-20)) and 70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1439996673693 + -34.\nAnswer: -33.8560003326307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 2*b + 1 + 2\/3*b**3 + 1\/4*b**4 + 3\/2*b**2. Suppose 3*g - 4 = -m, -5*g = m - 8 - 0. Calculate k(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 12 = -36. Let n = y - 23. Let z(k) = -k - 1. Let g(a) = -30*a - 25. Determine n*z(i) - g(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h + 80. Let b = h + 18. Suppose -4*t - b = 3*i, -6 = 4*t + 3*i - 2*i. Does t = -24\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 8:13 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*m - 15*m**3 - 21*m - m**4 + 9*m**2 - 57*m**2 + 30*m.\nAnswer: -m*(m - 1)*(m + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 2:36 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m - 6 + 3*m + 0*m - 12 + 20.\nAnswer: -4*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*h**2 + 3*h - 3*h.\nAnswer: 55*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5270.\nAnswer: 2, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n - 2*n + 5*n - 4*n + 6*n + 23*n + 61*n + 3*n - 2*n + n + (-3*n + n + n)*(3 + 1 - 3) + 4*n + 2*n - 4*n.\nAnswer: 96*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-6)*12\/(-8). Let x be (-16)\/10*(-10)\/u. Let f be 38\/7 + 15\/(-35). Solve 0 = x*k - 4*n + f*n + 15, 3 = -n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i - 4 = 2*m, 5*i - 8 = m. Sort i, 3, 0.\nAnswer: 0, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 7. Let j be o(6). Let v(r) = -35*r - 17. Let w be v(5). Let m = -187 - w. Solve -t + 0*t - 1 = 0, 0 = 4*z + m*t + j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -76.04 and 0.2541?\nAnswer: -19.321764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, q: 9}. Give prob of picking 1 q and 1 o.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 0.4 (c) -8 (d) -0.4 (e) 2\/9 (f) -3\/8 (g) 0.0158\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6726031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 22.7. Let a = -3.7 - k. Let g = 1.05 + -0.05. What is the smallest value in -2\/13, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -218, 2 in descending order.\nAnswer: 4, 2, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15994596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 6*x**2 - 2*x - 8. Let l = -62 - -56. Calculate m(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8e9 (base 16) to base 12.\nAnswer: 21035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1791*a**2*g**2 + a**2*g + 461*a*g**2 - a*g + 478*a + g**2 - 1047*g wrt g?\nAnswer: 3582*a**2 + 922*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399, -640, -879, -1116?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0928 + -0.0928. Sort w, -2\/9, 3\/2, -4 in decreasing order.\nAnswer: 3\/2, w, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 + 93. Let p be 16\/3 + 2\/(-6). Which is the nearest to s? (a) 0 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 5:48 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2875312*x - 2875421*x + 6758 for x.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122a65 (base 15) to base 3.\nAnswer: -1122012000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-8)\/(-20))\/(3 + 3096\/(-1035)) and 69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 6*o - 4. Let i be t(4). Solve 4*s - 17 = i*j - s, 0 = j + 3*s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:51 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3160, -3161, -3162, -3163, -3164?\nAnswer: -3165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -404 - -412. Calculate the least common multiple of 242 and x.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1023, 128, 18, -2 in decreasing order.\nAnswer: 1023, 128, 18, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-576)\/320*(-15)\/36*(-5)\/(1260\/8)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 7. Let l be m(-3). Suppose l*u - 6*u = -26. Suppose 0*p = -4*p + 5*c + 3, -u = -4*p + 3*c. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 + -480)*((-8)\/10 + 0). Suppose h - 2*l + 0*l = b, 2*h - 766 = -3*l. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1718 and 3455757.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 3, -2, -45, -4, -3 in increasing order.\nAnswer: -45, -4, -3, -2, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p. Let d be (7 + -8)*(0 + p). Which is the nearest to -1? (a) 1 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -39*n - 390. Let o be a(-10). Solve 0 = -3*i - 12, o*j - 20 = -2*j + 3*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 12*s**2 + 2*s + 2467384. Let i(j) = -j. Determine y(i(f)).\nAnswer: 12*f**2 - 2*f + 2467384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 377281021 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 - 36223193.\nAnswer: -36223193.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84646 - -84400. Let g = -446 + 200. Is g bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2319*o**2*x**2 + 15590*o**2*x - o*x**3 - o*x + 4*o - 64*x**4 wrt x.\nAnswer: 4638*o**2 - 6*o*x - 768*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 843 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*k - 104*k + 2 - 2 + 218*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.73406 to 1 dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 181*q + 187*q - 367*q + 4. Let m(j) = 2*j**3 + 4*j**2 + 3*j + 2. Let i be m(-2). Calculate o(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1926522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2074)\/(-10))\/17 + (11 - 16). Let z(d) = -7 + 4*d + 6*d**2 + 0*d**3 - d**3 - 6*d. Let t be z(5). Which is bigger: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 11:49 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5*g**2 + 0 + 6\/5*g**3 + 2\/5*g**4 + 0*g = 0 for g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v**4 + 524085*v**3 - 1703005*v**2 - 1572060*v = 0. Calculate v.\nAnswer: -3\/4, 0, 4, 26201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20010 greater than or equal to 20010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 94053\/(-1605) - (3 + ((-78)\/(-5))\/(-6))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of r**2 - 359*r - 917.\nAnswer: 2*r - 359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 32*g**2 + 39*g - 196. Let w be f(33). Solve -11 = -2*v - 3*m, -3*m + 9 = -w*v + 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 q, and 1 j when four letters picked without replacement from jjqpjqpqjjjjqiqjjjqi?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 - -3) - (2 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-347*o - 342*o - 342*o + 1018*o + 41).\nAnswer: 26*o - 82","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (48\/288)\/((-3)\/(-2))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-20)\/25)*(-4 + 301\/14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*o = -4*o + 11, -4*c + 57 = 5*o. Suppose -3*f + 16 = -11*f. Sort -1, c, -4, f.\nAnswer: -4, f, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 3*x + 0*x + (x + 0 + 0)*(12 - 2 - 7) + 2*x - 2 + 2 in the form r*x + h and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r - 3*r)*(1012*r - 35*r + 754 - 1500 + 746).\nAnswer: -4885*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 10*t - 7. Let d(z) = 5*z - 3. What is 7*d(g) - 3*m(g)?\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128087168 to the nearest integer?\nAnswer: 11318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 + 256*t + t**3 - 256*t - 5*t**3 - 3*t**3.\nAnswer: -7*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 - 2*a**2 - 7*a**2)*(7 - 7 + 16*a) to the form n + x*a + s*a**3 + u*a**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - (-385)\/(-14))\/(2\/36).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 - 3)*(-2*s**2 - s**2 + 6*s**2) + (-11*s - 15*s + 6*s)*(7*s + 0*s - 4*s).\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16c6b (base 16) to base 5\nAnswer: -10441131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-71)\/18)*-6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 261 and 957?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*g = 254, 11*g = 5*y + 14*g - 331. Suppose y*h - 81 = 56*h. Let k(f) = f - 3. What is k(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5984, -6027, -6068, -6107, -6144?\nAnswer: -6179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 4*n + 6, n - 3 = 3*f - 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.97 - -0.03. Let w = 5 - s. Which is the closest to -2? (a) 0 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-138250)\/21*18*-80. What is f rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 5:53 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 209043 in descending order.\nAnswer: 209043, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 46 = -163 + 26 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.5 + 13. What is the fourth smallest value in l, 4, -2\/5, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331092 is divided by 3720.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -57*n**5\/40 + 23*n**4\/24 - 63*n**3\/2 - 81*n**2. Let p(m) be the first derivative of l(m). Differentiate p(x) wrt x.\nAnswer: -171","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -1\/4, -0.2, -3, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/41473510 and -155\/74652318?\nAnswer: 373261590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - -4 - (-1 + (5 - 5 - 9)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(a*a*a*a\/a**(-2\/7)*a)))**32\/((a*a**(1\/6))\/a**1)*((a\/a**(-2)*a*a)**(-4\/9))**(32\/9) assuming a is positive.\nAnswer: a**(146371\/1134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3365\/2*q**2 - 270*q**3 + 10*q**4 + 490 + 1890*q.\nAnswer: 5*(q - 14)**2*(2*q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -129042, -516979, -1163542, -2068731, -3232546, -4654987?\n\"Answer: -129313*s**2 + 2*s + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.8 or 4\/7?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380864?\nAnswer: 2, 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 447 = -10*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i**2. Let a(v) = -22*v**2. Let r(u) = -u**3 + 3*u**2 + 27*u + 2. Let f be r(7). What is f*a(g) + 16*w(g)?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2. Suppose -2*p + 5 = -11. What is the smallest common multiple of 0 + d + (8 - 3) and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -934752*z + 11235. Let c(k) = -749*k + 9. Give 3*a(b) - 3745*c(b).\nAnswer: 749*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*l - 20, 3*u - 2*l - 8 = 8. What is the highest common divisor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) 7 (c) -3929098\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 7 - (279 + -1). Let y = x + 274. Let g(q) = q**3 + 5*q**2 - 7*q - 4. Let c be g(-6). Solve c*o - 15 = j, -2*j - 20 = -6*o + y*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -0.19 (c) -455.85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bb + -1?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 4) + (-15 - 4 - (1 + -6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.497891ms to nanoseconds.\nAnswer: 2497891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**6\/40 - 13*j**4\/24 + j**3\/3 + 3. Let f(o) be the third derivative of c(o). Differentiate f(q) wrt q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 2. Let g(m) = -48*m + 9. Give g(y) + 6*s(y).\nAnswer: -36*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49731498 + 0*n - 49731498 - 5*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136315*d**2*x + 36017*d**2 - 36*d*x**4 - 7*d with respect to x.\nAnswer: 136315*d**2 - 144*d*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4)*(-4*n**3 + 5*n**3 + 2*n**3)*(3*n - 4*n + 2*n).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615592502.\nAnswer: 2, 7, 73, 602341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6487714?\nAnswer: 2, 509, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 8. Suppose 450 = 5*i - 5*q, -c*i + 66 = -2*q - 399. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5226*w + 1330*w + 1694*w + 1330*w + 876*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 165\/(-11)*2\/15*-3. Let y(f) be the second derivative of 0*f**2 + 0 + 19*f - 5\/6*f**z + 5\/3*f**3 + 5\/42*f**7 - 35\/12*f**4 + 9\/4*f**5. Factor y(b).\nAnswer: 5*b*(b - 2)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 250*a**3 + 8*a - 246*a**3 - 20*a**2 + 8*a = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30769639?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -0.1. What is the third biggest value in 7, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 737, 1614, 3055, 5060?\n\"Answer: 282*q**2 + 31*q + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -47. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.982 - 463.982. Let t = f + 462.9999422. What is t rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 133869885 and 50.3.\nAnswer: 133869935.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30471401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 - 3*z**4 - 4*z**4)*(-24 + 14 - 8 - 2 + 2 + 1 + (-1 + 5 - 3)*(3 + 0 - 1)).\nAnswer: 75*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g = 227 - 305 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -387*l + 389*l + 1, 4*i = -7*l + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*i - 2*i + 25*i + 27*i + 84*i to x*i + c and give x.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**3\/6 + 42*y - 2. Let f(b) = -338*b**2 + 2*b. Determine h(f(p)).\nAnswer: 338*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*q)*(1 - 3 + 4) + (-q - 2 + 2)*(-3 + 4 - 3) + 1 - 1 - q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, p: 7}. Give prob of picking 2 u.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 2*h**2 - h**2 + 0 - 2*h**2 + 0 + 2*h**2 - 5*h**2 + 0*h**2 + (1 + 2 - 1)*(5*h**2 - 2*h**2 - h**2) + 4 - 4 - 2*h**2 + 2*h**2 - 415 + 415.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1\/2. Let o = 5.3 - 0.3. Which is the closest to -0.1? (a) o (b) 0.08 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.28 + -1.54. Let q = g + 1.56. Which is the second biggest value? (a) -0.2 (b) 4\/9 (c) q (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0, -191294?\nAnswer: -191294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -316 by 12.\nAnswer: -79\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a + 336 = u, 3*a - 1317 = -4*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3) - 20\/30. Suppose 2*p - 7*p = x. Find the first derivative of -5*h**3 - 1 + 0*h**3 + p*h**3 wrt h.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3 + -1.3. Let q = 0.16 + -0.03. Let m = 0.03 - q. Which is the nearest to m? (a) j (b) 0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millimeter in micrometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.9, -34926?\nAnswer: -34926","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -14*n**3 - 6*n**2 + 8*n + 5. Let i(m) = -15*m**3 - 6*m**2 + 9*m + 6. Let w(f) = 5*i(f) - 6*l(f). Factor w(d).\nAnswer: 3*d*(d + 1)*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -33\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0042 + 377.0042. Let b = 377.00282 - x. What is b rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6604, -26472, -59600, -105988?\nAnswer: -165636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/14, 1\/2, 0.248, -19, -5, 1?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 37*b - 63. Let l be u(39). Let r(j) = j**3 - 12*j**2 - 13*j + 22. Does 18 divide r(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 10 + 44)*(-46*v**2 - 46*v**2 + 32*v**2) as r + y*v**2 + a*v and give y.\nAnswer: -2220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 - 74. Suppose -2*b = -5*r - 3 + 2, b + 3*r = v. Solve b*z - 20 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1513527\/40 - 37839. Calculate the common denominator of 1\/(-1 + 145)*-146 and u.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2708468?\nAnswer: 2, 7, 96731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z. Let t(c) = 182*c. Calculate g(t(l)).\nAnswer: 546*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (-6*sqrt(312)*-5 + sqrt(312))\/sqrt(6))*-3)**2*4.\nAnswer: -8928*sqrt(13) + 1799136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*a + a. Suppose 8*i + 2467 + 2621 = a. Round i to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-906)\/(-2660) - 3\/((-42)\/4). Let d = 1\/38 - t. Let i be (-3)\/(-11)*(-8)\/12. What is the second smallest value in 3, i, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 129)*(-1 + 0 - -3). Let q = p - 107. List the prime factors of q.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10837 + -6396. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -472933.8 rounded to the nearest one thousand?\nAnswer: -473000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22 - (24\/(-10) + (-2)\/(-5)). Suppose 30*p - 48 = f*p. Solve 0*z + 2*z = -p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 796.343 + 125.167. Let p = m - 926. Let q = 0.51 - p. Sort q, 2\/7, 2\/3, -0.2 in increasing order.\nAnswer: -0.2, 2\/7, 2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 220 + -797. Let u = 857 + p. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 74, 118, 166, 218?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 10\/4)*88\/110. Let s(r) = 28 + l*r - 16 - 12. Let u(m) = 3*m. What is u(s(y))?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 130*m**2 - 849*m - 4334. Give y(-136).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/5? (a) 5\/2 (b) -1 (c) -1630 (d) 0.06 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, i: 2, z: 1, a: 2, n: 1, s: 4}. What is prob of picking 1 i, 1 c, and 1 a?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1586 is divided by 29 - 3 - (-11 - (6 + -17)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116 + -70. Suppose 27 + 11 = 3*u + w, -3*u - 5*w + c = 0. Is 1075 + u\/8*(-12)\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, 16, 78, 196, 388, 672, 1066, 1588?\n\"Answer: 3*x**3 + x**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/1059?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 > -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 849 - 765. What is the greatest common factor of i and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 17*g**4\/24 + 7*g**3\/6 + 9*g**2\/2 + 10. Let z(k) be the second derivative of c(k). Is z(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/52 and 79\/40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 - 13595*w**3 - 13582*w**2 + 163128*w.\nAnswer: -w*(w - 3)*(w + 4)*(w + 13594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:56 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3385, 3375, 3359, 3337, 3309, 3275?\nAnswer: 3235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.6 - -5.6. Put 0.5, 0.1, -4\/3, x in increasing order.\nAnswer: x, -4\/3, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47718920351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 200, 413, 712, 1097?\nAnswer: 1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350232.\nAnswer: 2, 3, 14593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1202011200?\nAnswer: 1202011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 205. Let l be k(0). Let v be (-2)\/(-6)*(-328 + -290). Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124010 - -1?\nAnswer: 124011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*x + 5)*(-233*x + 431*x - 220*x + 2).\nAnswer: -44*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/w**0)*w)**(-4)\/(w**(-38)\/(w**20\/w)) assuming w is positive.\nAnswer: w**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -2)\/(3\/12) - -3. Let k(n) = -9*n - 6. Let f be k(m). Solve 4*l = -5*i - 4 - 11, -i - l = f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*s**3*w**2 - 13*s**3*w - s*w - 401*w**2 + 2*w wrt s.\nAnswer: -42*s*w**2 - 78*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in 1, 22, 3\/13, -8, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 19089845*s**3.\nAnswer: 5*s**3*(s + 3817969)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3815, -13116, -22431, -31772, -41151?\nAnswer: -50580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-60)\/(-28))\/5)\/((-2)\/(-1603)). Let u = 317 - n. What is the common denominator of u and -65\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1183915.557 + 84566\nAnswer: -1099349.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 1 = -11*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 13*w - 9. Let g be q(-6). Let s be (7\/35)\/(g\/10 + -3). Which is smaller: -0.03 or s?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(66)*-5 - sqrt(66))\/(-2*sqrt(726)).\nAnswer: -9*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 41 = -3. Let x = -54 + o. Let z = -20 - x. Is 14 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -87*j**3 - 3*j**2 + j + 3. Is d(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 3, 2 in descending order.\nAnswer: 4, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 9, 4, -13, -0.03 in decreasing order.\nAnswer: 9, 4, 1, -0.03, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*f = 3*k - 35, 5*k = -f + 30. Suppose 5*r - 75 = h, -k*h - 14 - 16 = -2*r. What is the remainder when r is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1169683005?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*y - 62*y - 70 = 3*a, 5*a - 29 = -y. Suppose 2*i + 3*i = 20. Solve -i*x - y - 1 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (528\/(-80) - -5) + ((-2030)\/(-50) - 31)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -475, -946, -1415, -1882?\n\"Answer: n**2 - 474*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2683829 and -7?\nAnswer: 6.7316171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 8*a - 7. Let l be t(-8). Let j(h) = h**2 + 7*h + 4. Let w be j(l). Let i be w\/16 + (-876)\/(-16). What is the highest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 22*f**2 + 2*f + 4. What is the remainder when 190 is divided by t(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*x + 3*x - 3 = 0, 0 = -r - 3*x + 3. Suppose -5*c + 54 + 31 = 5*i, r*c = -5*i + 41. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-11) - 176\/(-363). Put 0, -4\/5, 2, l in decreasing order.\nAnswer: 2, l, 0, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.1. Let u = 3.01 - 0.01. Let s = -2.8 + u. Which is the second smallest value? (a) 2\/9 (b) s (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 56*n = -53846000. Round n to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1381 + 2388*y**2 + 1381 - 173*y**3 - 2388*y**2.\nAnswer: -173*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*v - 1)*(8*v - v + 10*v)*(-2*v - 2*v + 7*v).\nAnswer: -102*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 - -67.071. Let w = -0.02 + 0.0943. Let u = t - w. Round u to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 295*y**5 + 830*y**4 + 4*y**3 - 347326*y**2 + y + 9?\nAnswer: 17700*y**2 + 19920*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.174041385 to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 146*o**2 + 2*o**3 + 1 + 0 + 140*o**2 - o**4 in the form h + l*o + p*o**3 + k*o**4 + c*o**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*h + 1, i = 2*h - 4*i + 30. Let w(d) be the third derivative of 0 + 2*d**2 - 1\/4*d**4 + 0*d - 1\/60*d**5 - 5\/6*d**3. Give w(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1680, -6146, -13396, -23430, -36248, -51850?\n\"Answer: -1392*t**2 - 290*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 555987041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 131016932 to the power of 1\/3, to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -20. Let t(g) be the first derivative of 2\/3*g**6 + m*g**4 + 0*g**2 + 0*g - g**3 + 0*g**5 - 1. Find the third derivative of t(f) wrt f.\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1236 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6427 or 6119?\nAnswer: 6427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-8*-8*(-60)\/640)\/((-6)\/20)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -94*d + 3210. Calculate a(34).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4509?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m**2 + 933*m + 2784. Determine t(-3).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 10:52 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-1 - 3 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**3 + g + 3. Let i be a(-2). Let o = 61 + i. Let p(y) = y**3 - 5*y**2 - 7*y + 9. Let m be p(6). What is the greatest common factor of m and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 537 + -534. Let i(w) = -13 + 4*w + 18 + w**c - 10. What is i(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 12. Let f be d(-12). Solve -4*m - 3*c - 32 = f, -5*c + 14 = 2*m + 44 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217560158 is divided by 417?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g = -17*g - 18. Let c be (-5 - -4)*g*(-15)\/9. Solve 6 = -2*k, -13 = -c*w + 5*k + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, 3, -105.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759*j - 1507*j = -785*j + 1147 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -j - 12, -j + 4 = t. Solve -9 = -0*k + t*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(153))*-1 - sqrt(17)) + 1.\nAnswer: -5*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, 0, -1.31323 in decreasing order.\nAnswer: 6\/7, 0, -1.31323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 36 = -2*s, -5*v - 89 = 4*s - 13. Sort 0, s, 0.5 in increasing order.\nAnswer: s, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2904\/396 - (7\/3 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926156023 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2. Let z(u) be the second derivative of 59*u**4\/12 + 17*u**2 - 15*u. Let m(g) be the first derivative of z(g). Determine m(r(y)).\nAnswer: 236*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074*a - 14 = 1081*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 16 = 4. Suppose 2*a = 5*a - u - 90, -120 = -4*a - i*u. Let w = 0 + a. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + p - 5*p**2 - 2*p**2 - 2*p + 4*p**2 as t*p**2 + x*p + y and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(-1 + sqrt(300))*-1)**2.\nAnswer: -20*sqrt(3) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03161890281 to 3 dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + t**2 - 2*t + 1. Let n be v(2). Let p = -54 - -59. Let x = n - p. Solve 15 = d + x*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7592\/156 + -85 + 22\/(-6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/37330254 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**2 - 25548*h + 25551 = 0. Calculate h.\nAnswer: -8517, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1983*v**2 + 70*v - 136. What is the hundreds digit of h(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12884, -12887, -12902, -12935, -12992, -13079, -13202?\nAnswer: -13367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -234*u**2 + 188*u + 4.\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 1429223*i + 5716867. Give f(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.59058435 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = u - 2. Let y be (-10)\/(20\/310*(2 - 1)). Let b = -2791\/18 - y. Is u < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 2*m**2 + 799. Let f(x) = -2*x**2 + 6*x. Let g be (-3)\/(-4)*4*1. Let l be f(g). Is u(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -610774.\nAnswer: 4\/305387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 2822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26532 divided by 33.\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3767, -2, -638, 1\/6 in decreasing order.\nAnswer: 0.2, 1\/6, -2, -638, -3767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15345\/4 or 0?\nAnswer: -15345\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2689112 and 1.6573?\nAnswer: 2689113.6573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30026, -240340, -811208, -1922906, -3755710, -6489896, -10305740, -15383518?\nAnswer: -21903506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (145\/4)\/((-6)\/(-8)). Let u = -121 + 72. Let f = l + u. What is the smallest value in f, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 20 = l + 154, -4*y = 0. What is the thousands digit of ((-2)\/5 + l\/(-10))*107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*z = -471, 4*h = z + 343 + 331. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-4 - (20 - 16))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 3:29 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -507 + 509. Solve -42*t = -44*t + u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 11*z**2 - z + 15. Suppose 0 = 10*n - 7*n + p + 38, 0 = 4*p - 16. Let c be 18\/6 + (2 - 8) - n. Determine a(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 378*f - 101. Is m(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 4*m = -12, 78*s - 83*s - 5*m = 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/2)\/((-1)\/(-1)). Suppose 12 = 5*f - 3. Suppose -n - f = -o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 252*a**2 + 104265*a + 514650.\nAnswer: -3*(a - 235)*(a + 5)*(a + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210292\/2767 - (-1972)\/(-26).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 298*v**2 - 31*v + 21. Let l(a) = 99*a**2 - 9*a + 6. What is 6*i(y) - 21*l(y)?\nAnswer: -291*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.968 less than -4?\nAnswer: -4.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, p: 9}. Give prob of picking 1 n and 3 p.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 13*u + 26 = 16*u, i + 2*u - 9 = 0. What is the closest to 0.47 in 3, -4, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kik when three letters picked without replacement from dkxti?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 2)*(-2 - 1 + 1) - 2 + 3 + 0)*(1 + 2*b - 1).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161328997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q - 5*g + 17, 4*q + 22 = -3*g. Let y(v) = -v**2 - 5*v + 8. Let n be y(-7). Which is greater: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) + (sqrt(96) + 5*sqrt(96)*1 + sqrt(96) - sqrt(96)) + -4*1*sqrt(96))\/(sqrt(18)*2*-2))**2*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/25722 and -99\/37154.\nAnswer: 334386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 100*t - 2988. What is n(-71)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3139273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 0, 3, 61 in ascending order.\nAnswer: -4\/5, 0, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 17 + 1 + -18 - 7.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16 + -1)\/((-12)\/12). Which is greater: j or 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23613 (base 9) in base 13?\nAnswer: 726c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4487760 and 4600?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**4\/8 + 23*h**3\/8 - 475*h**2\/4 + 225*h = 0.\nAnswer: -45, 0, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:13 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**4 - 10885*k**3 + 5469990*k**2 - 804597500*k + 1587402040 = 0.\nAnswer: 2, 322, 1531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 2\/15*b**4 + 5*b - 1\/75*b**5 - 3*b**2 - 2\/5*b**3 + 0. Let n(g) be the first derivative of a(g). Factor n(k).\nAnswer: -4*(k - 3)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 4. Let q be l(0). Solve 0*a = q*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 15. Let s be (-1)\/(-2) + m\/(-4). Which is the closest to -2\/7? (a) 0.1 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*6\/(-15))\/((-10)\/(-55))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((-1*sqrt(500) - sqrt(5)) + 1)*2)**2 + -2*((-1*sqrt(300))\/sqrt(12))\/sqrt(5).\nAnswer: -86*sqrt(5) + 2428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 2*y**3 - 38 + 6.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l + 9*l + 2 + 11 + 6. List the prime factors of g(9).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -27, -48, -75, -108, -147, -192?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26245)\/9050)\/(2\/(-20))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (60\/880)\/(11\/(-22))\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*1\/(2\/3). Suppose 460 = f + h, -2*f + 1081 = -v*h + 141. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000 (base 3) to base 11.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 - 26 = 0. Calculate the greatest common divisor of 40 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 130 + -119 + (-180)\/14 and -122*(-2)\/8*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 + 3*z**2 - 6*z + 1. Let v(o) = -10*o**3 - 8*o**2 + 19*o - 3. Let m(q) = 7*i(q) + 2*v(q). Suppose 3*x + 10 = x. List the prime factors of m(x).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 30.7. Let f = 30.2 + s. Let m = -3.8 + -1.2. What is the nearest to f in 3\/4, -1, m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17, 17, 23, 41, 77, 137, 227?\n\"Answer: m**3 - 3*m**2 + 2*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 7:20 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.11 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1 + 4 + ((-1 + sqrt(1053))*1 - sqrt(1053)))**2 + -4)*-3 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (146\/(-12))\/(5*(-12)\/(-36)) and (1\/(-2))\/(45\/570).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxz when three letters picked without replacement from zrxrirrrrziirirr?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 326437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 1614 = 3174. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*x**2 - 54*x + 101*x - 47*x.\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfx when three letters picked without replacement from {f: 4, x: 3, n: 9, d: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**3 - 2*j**3 + 603*j**2 - 603*j**2 - j**3.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 = -2. Let o(d) = -4*d - 2. Let m be o(j). Suppose 4*z = m*z - 26. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 j when three letters picked without replacement from {m: 6, j: 2, o: 2, z: 3, i: 1}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -203 - -1829\/9. Is u not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20010 (base 3) to base 13\nAnswer: c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 39759.3 and 5.\nAnswer: 39764.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96 + -91. Let s be (y + -5)\/(2 - 0). Does 7 divide (1*-5 - s)*(0 + -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 693 and 8488755?\nAnswer: 59421285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 + 46 + 0*p**2 - p - 8*p**2 in the form w*p + j*p**2 + t and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 9*k - 7. Give v(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*u**2 + 6*u**2 - 12*u**2 + 57 to the form n + s*u**2 + o*u and give n.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*((-48)\/20 - -3). Sort -3, -8, s in descending order.\nAnswer: s, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/80 and -109\/90.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-134)\/(-3216))\/((-7)\/(-126)*-2).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 14*j**2 + 30*j + 19. Let r be n(-11). What is the first derivative of 11 - r*y**4 + 69*y**4 - 7 wrt y?\nAnswer: 68*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 515, -5, 3, -3, -49.\nAnswer: -49, -5, -3, 3, 515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(32)\/sqrt(4)*-4) - ((sqrt(13) - sqrt(208)*-3)*2)**2) + (((sqrt(117) + sqrt(117) + sqrt(117) + sqrt(117)*2)*4)\/(1*sqrt(81)) + 4)**2.\nAnswer: -73748\/9 + 637*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - 2*l**2 + 2*l**3 + l**4 - 4*l**3 in the form g*l**4 + x*l + m*l**2 + o*l**3 + h and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -166 - -326. Let x = d + -637\/4. Let c = -0.4 + 0.2. What is the third biggest value in -0.5, c, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 - -205. Calculate the highest common divisor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -28, 4, -6, 2, 0.\nAnswer: -107, -28, -6, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Suppose -3*x = -4*n + 41, 4*n + l*n = x + 43. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -51, -256, -635, -1224, -2059, -3176, -4611, -6400?\n\"Answer: -6*a**3 - 51*a**2 - 10*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.5 + 21. Suppose -8 = -4*y - 0*y. What is the closest to -1 in y, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 4*d - 13. Suppose 0*f + 5*f - 30 = 0. What is the units digit of p(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2019 and 31?\nAnswer: 62589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 394 + 454. Calculate the remainder when a is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = y - 28, -470*y = -471*y + l + 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17690*l**3 + 3 + 7913*l**3 - 3.\nAnswer: 25603*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -236\/11*j**2 - 16\/11 + 2*j**3 - 120\/11*j + 98\/11*j**5 + 252\/11*j**4 = 0.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + (7 - -15) + -23.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 7*l**3 - 17 - 17 + 2*l + 48 - 219*l**3 + l**2 to j + z*l**3 + p*l**2 + a*l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 2:14 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1343 - -124332322?\nAnswer: 124334220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 2*s + 3*s + 235, 0 = y - 2*s + 32. Let l be (-574)\/y - 1\/(-3). Suppose 4*q - 66 = -l. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z - 141 - 134 + 275.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9.062556 centimeters?\nAnswer: 90.62556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -331544, -663105, -994666?\n\"Answer: -331561*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/8422 and 61\/10.\nAnswer: 42110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21078418 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - l. Suppose l = 3*h - h + 10. Sort h, -4, 3 in increasing order.\nAnswer: h, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2849 and 34447.\nAnswer: 378917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -20011265\/41, 2\/19 in increasing order.\nAnswer: -20011265\/41, 2\/19, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - r - 3*r + 5, -3*r + 6 = 0. Let t = -15 - b. Let m = 13 + t. Do m and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*x + 79*x + 188. Suppose -3*v - 50 = -f, -5*f = -3*f - 3*v - x. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-4*n + 2*n + n)*(-22 - 8 + 9).\nAnswer: 42*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*h - 360*h - 259*h + 838*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 47 = 1. Let y be (25\/(-150))\/(1\/h) - -4. Solve y*x + 7 = -9*j + 4*j, 2*x + 4*j = -4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178640 divided by -14\nAnswer: -12760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 164039286 to the power of 1\/2, to the nearest integer?\nAnswer: 12808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 5:36 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 2*a - 2. Let n be i(0). What is the common denominator of (-196)\/(-64) + 6\/n and 103\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 379351603 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 0*r**3 + 4*r**3 - r**3 + r**3 - 2*r**3 + (3*r - 3*r**2 - 3*r)*(r - 2*r + 0*r) + 297*r**2 - 297*r**2 + 3*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.3 + 3.5. Is d less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 3*x**2 + 4*x - 5. Calculate the smallest common multiple of u(3) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1851*i. Let k(u) = -4*u**2. Give k(y(j)).\nAnswer: -13704804*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 756 (b) 2\/13 (c) 1183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15126563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11952 - 5981. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1695 - 0.1695. Let k = -3 - -4. Suppose 1 = 2*o + 5*g, -2*o - g = 2*g + k. Does z = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2923*u**3 - 3 - u**4 + 14*u**2 + 2924*u**3 + 6*u**2 as k*u**2 + w*u + d + r*u**3 + v*u**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -6*i**2 + 13\/6*i**3 + 11*i - 15. Let b(y) be the first derivative of u(y). Differentiate b(w) with respect to w.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -525 by 175.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z - 9. Let i be 2\/((-2)\/(-9))*3\/z. Find the first derivative of -5*g**2 - i*g**2 + 18 - 7*g**2 wrt g.\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + 4 + (-87 - -68)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 28, -5 in descending order.\nAnswer: 28, 9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3542 divided by -22.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1471 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 328 - 888. Let g be (t\/(-42))\/(1\/(-6)). Let u = 125 + g. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 2\/17, -0.3, -0.06 in increasing order.\nAnswer: -0.3, -1\/6, -0.06, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226 + 230 = l, 15*o - 100 = 13*o - l for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 3*a**2 - 4*a + 2. Suppose -2*q + 0*q = 3*v - 5, -17 = -5*q - 3*v. Suppose 4*z - 10 = -4*r - 2, -8 = q*r. What is the units digit of h(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.2 (c) 19 (d) 0.08 (e) 1\/4 (f) 0.8 (g) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -127388 times -358?\nAnswer: 45604904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*160\/40*(3\/18)\/(16\/396).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -51*n**2 + 7281*n + 28224. Let o(q) = 3*q**2 - 455*q - 1764. Let m(j) = -2*d(j) - 33*o(j). Determine p so that m(p) = 0.\nAnswer: -147, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.621807526 to 2 decimal places.\nAnswer: -1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 13*b**2 + 2*b - 18. Let j be u(-14). Let a = j - -26. Round a to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1581041 is divided by 105402?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 47*n**2\/2 + 112*n + 174. What is the hundreds digit of b(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2089 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l = 26. Let z(v) = -v**2 + 24*v - 6. Let b be z(24). Let f be (-20)\/b*6\/4. Solve f*a - 3*n - n = l, -4*a + 5*n + 14 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 1538*y**3 + 594429*y**2 + 2359292*y + 2353156.\nAnswer: (y + 2)**2*(y + 767)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20502092069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6\/17 + -1\/51. Let u(f) be the second derivative of -t*f**2 + 0 + 2\/9*f**3 - 14*f - 1\/18*f**4. Suppose u(w) = 0. What is w?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4336685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-31)\/31)\/(1\/(-6)). What are the prime factors of (1*c)\/(51\/1241)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -5\/42*f**7 + 0*f**5 + 0*f**4 + 0*f**6 - 3*f - 5\/6*f**3 + 0*f**2 + 0. What is the second derivative of t(j) wrt j?\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941981 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1.7, -1.08, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 75. Suppose r = -5*g - r - 498, 388 = -4*g + r. Let c = v - g. What is the remainder when c is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 195 + 357. Suppose -4*m - m - t + 669 = 0, 4*m + 5*t = r. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 882480.7mm to micrometers.\nAnswer: 882480700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*y - 7*y - 859, 0 = -w - 2*y + 205. List the prime factors of w.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 842, 1898, 3150, 4598, 6242, 8082?\nAnswer: 10118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165, -332, -499, -666, -833, -1000?\nAnswer: -1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 12*u**2 - 1. Suppose 17*b - 36 = 13*b. Suppose 0 = 2*s - b*s + 42. Suppose 0 = -6*x - 12 + s. Determine d(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -23. Suppose -2*c - 1 = -3*h - c, 0 = -5*h + g*c. What is the least common multiple of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o - 7*o + 17*o + 0*o - 6*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -12*d**2. Let s = 155 - 148. Let i(f) = -s*f**2 - 8*f**2 + 10*f**2. Determine i(j(c)).\nAnswer: -720*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k - 33416 = -525. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*c + 10. Suppose 2*s - 4*s + 103 = d, -4*s = 3*d - 201. What is the highest common factor of c and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 158?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 48432490.1 and -516.3.\nAnswer: 48431973.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**4 - o + 768*o**2 - 3*o**4 - 7 - 776*o**2 + 2*o**4 to w*o**3 + m*o + g*o**2 + q*o**4 + l and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*r - 4*l + 22092 = 60*r, -3*l + 36820 = 5*r. Is 60 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 + 2*o - 5. Let d(j) = -j - 12. Let z be d(-9). What is the remainder when k(z) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -19 (c) -2\/511\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71 or 2\/185?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -31*a + 20*a - 27*a. Let h(x) = -2*x**2. Give h(g(n)).\nAnswer: -2888*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, k: 1, r: 2, f: 1, y: 2}. Give prob of picking 2 r, 1 f, and 1 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 27\/2)*-14. Suppose -19 = -23*x + y. Solve -8*c - x = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.82493 micrometers to nanometers.\nAnswer: 25824.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10007196 divided by 1?\nAnswer: -10007196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 299431 to the power of 1\/2, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(2\/15))\/(((z*z\/(z**(-5\/6)\/z)*z*z)\/z)\/z)*(z*z\/(((((z\/z**21*z)\/z)\/z*z)\/z)\/z))\/z**15 assuming z is positive.\nAnswer: z**(211\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*((-11 + 0 + 0)*(-2*y + y + 4*y) + 32 + 3*y - 62 + 31)*(y**3 - y**4 - y**3).\nAnswer: 60*y**5 - 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1439564 divided by -205652.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 23621479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24008400 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*a + 1 - 4 + 117*a + 3 - 2.\nAnswer: 22*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 11*i**2 - 24*i - 29. Calculate u(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 326152 and 28331.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7191490 is divided by 109.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2796 = -5*y - 0*y + 3*i, -5*y = -5*i - 2800. Calculate the remainder when 37 is divided by 2\/(-3) + y\/27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + y**3 - 3*y**3 - 8*y**3 + 3*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 58620?\nAnswer: 5862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396762 and 4386672.\nAnswer: 4458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 12*n**2 + 17*n - 62. Calculate t(5).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -34*y**3 - y**2 - 501*y - 993. What is c(-2)?\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rff when three letters picked without replacement from {c: 1, i: 1, w: 1, f: 12, r: 3, d: 1}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199474480 - 199474480 - 3*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - sqrt(567)*2*2)**2.\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 2*((-7 - -3) + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dimm. What is prob of sequence mdm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -402 - 330?\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 38*g**3 + g - 1. Suppose 4*j - 2 + 4 = 3*f, 5*j + 5*f = 15. Is z(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 8*o**2 + 9*o + 2. Let t be k(-9). Find the second derivative of 3*m + 1 - 1 - 5*m**t + 10*m**2 wrt m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 17990?\nAnswer: -35980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 7*a**2 + 12*a - 7. Let i be j(-9). Let p = -68 + i. Is -21 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 14.3307.\nAnswer: 200.6298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 249*z + 1725. Calculate the remainder when 247 is divided by o(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 11 = -5*n + 9, -2*n = -5*y - 8. Suppose y*s = 3*j - s + 11, -3*j - 17 = -4*s. What is the units digit of (-75)\/(-9) - j\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7))**(-2\/75)\/(y*y*y*y**(-6)*y**(2\/7)))\/((y**(2\/7))**45\/(y*y**(2\/9)*y**(-2\/27))) assuming y is positive.\nAnswer: y**(-42536\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -11*c + 9. Find the first derivative of 4*r - 22 + 486*r**c - 532*r**3 - 4*r wrt r.\nAnswer: -138*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s = -15*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 13 and 164\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/170, -39\/2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(1*sqrt(11)))**2 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c - 21?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 18. Let p(q) = -q**2 + 2*q. Let k be p(2). Suppose 0 = -0*d - d - 4*h + 22, k = 3*d - 5*h - 49. Calculate the least common multiple of b and d.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6013.337 weeks?\nAnswer: 3636866217600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 13\/5 + (-1178)\/5. Let u be 1\/2 + p\/40. Which is bigger: u or -6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + (-2 - 0) + 696 + -692.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 699577\/37146 + 1\/6191. Let z(w) = -313*w - 1. Let k be z(-2). Find the common denominator of k\/(-12)*2\/10 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194233, 193829, 193423, 193015, 192605?\nAnswer: 192193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 - 13*b**2 - 24*b - 80. Calculate t(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 639309 + 0?\nAnswer: 639309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**4\/12 + 3*q**2. Let z(g) = -5*g**2. Determine z(d(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.8 - -15.2. What is p rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*0\/1 - -2. Suppose 4*q - 28 = -3*i, 4*i + 12 + 24 = p*q. Let f be (-52)\/(-338) - 646\/(-26). What is the highest common divisor of q and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 4. Let v(w) = 65*w**2 + w - 1. Let x be v(1). Let i be 8\/(-6)*(-39)\/x. Which is the second smallest value? (a) 1 (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by -143022?\nAnswer: -31\/71511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67943 or -271769\/4?\nAnswer: -271769\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/5 (b) -0.3 (c) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 849794885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 7)*(6 - 2 - 1)*(-152 - 255*b - 225*b + 738*b - 253*b).\nAnswer: 60*b - 1824","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 68 + 8. What is the remainder when p is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 22*g - 98969 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u + 2. Let b be (3 - -39) + (2 - u). Let l = b + -26. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axxf when four letters picked without replacement from foyjxoaxxxoj?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (40\/(-8))\/10*14. Let q(o) = o**3 + 6*o**2 - 4*o + 3. Give q(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 956 = 13*k. What is the third derivative of -10*g**3 + k*g + 45*g**2 + g**4 - 6*g**3 - 239*g wrt g?\nAnswer: 24*g - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*k + 57334 = 17198 - 27841 for k.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 - 7*a - 11. Let s be j(6). Suppose -64 = -n + s. List the prime factors of n.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 5*d - 5*d)*(d**2 - 2*d - 2*d**2 + 7*d).\nAnswer: 5*d**3 - 25*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2733750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167050 by 33410.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/5 + 4158794*r**2\/5 - 16635152*r\/5 + 16635144\/5.\nAnswer: -2*(r - 2079393)*(r - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 3*a - 6*a = -9, -2*w + 4*a = 24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7d542 + 2?\nAnswer: 7d544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 260849\/30 - 8697. Let n = 266165 + -19962346\/75. What is the common denominator of b and n?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-21 + 26 + -45 + 27).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a11 (base 11) to base 14.\nAnswer: -d05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**6 - 5029*p**3 + 1203*p**2 wrt p.\nAnswer: -240*p**3 - 30174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15\/22, 2, 1.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 179863406 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 464.9 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-247 + 188 - -24) + (-1 - 2).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 14 = -2*n - 5, -9*m - 3*n + 21 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15116318 is divided by 2592?\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018116 rounded to 5 dps?\nAnswer: 0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4\/3*w**3 - 4\/3 - 17\/3*w**2 - 20\/3*w = 0?\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/3 - 338*h**3 + 85003*h**2 + 1036324*h\/3.\nAnswer: h*(h - 509)**2*(h + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 15552.\nAnswer: 15552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 5648. Let t(j) = j - 10. Determine r(t(o)).\nAnswer: -o - 5638","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*p - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Let q = -1.9 + v. Sort q, 2\/3, 4.\nAnswer: q, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -47.\nAnswer: -31\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048978009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435729289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 10) to base 16.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 121, -59, -103 in increasing order.\nAnswer: -103, -59, 25, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 6*s - 16. Solve -s*y = -a - 5 - 4, -2*a = 5*y - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -26. Let r = 0 - -3. Suppose 3*d = -c + 11, 2*c = -2*d - 3*c + r. What is the greatest common factor of d and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/34 and -87\/8195290?\nAnswer: 139319930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 864 + -2. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 290.099 to 0 decimal places.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 3009 (b) -3\/7 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 138239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 4085.\nAnswer: 6\/4085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.6 - 17. Let r = 0.1 + 0. Let n = 0.1 + r. What is the nearest to 1 in 4\/3, b, n?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 17. Let j be ((-192)\/(-40))\/(y\/(-10)). Is 13 a factor of (j\/18)\/((-6)\/(-351))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-18)\/(-144) - (3583\/8)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10199 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -908*c + 467*c - 38223*c**2 + 441*c + 38220*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19749938, -39499875, -59249812, -78999749?\nAnswer: -98749686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-18 + 10)) + -11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3 (c) 1\/8 (d) 1487\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**3 - 7*f**2 - 3*f - 1. What is g(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/4 of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1443762 divided by 240627\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -45.993. Let g = 6.307 - x. Let c = g - 6.298. What is c rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9*r - 2. Let m(n) = 46*n - 10. Let p = 190 - 188. Let t(a) = 36*a + 25. Let w be t(-1). Calculate p*m(i) + w*g(i).\nAnswer: -7*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -5*t**4\/12 - 8*t**3\/3 - 32*t**2. Let v = -3 + 19. Let o(p) = 2*p + 3. Determine v*o(d) + 3*m(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 3*n**2 - 10*n - 2. What is the least common multiple of q(-4) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21812525.\nAnswer: 5, 7, 124643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3332 = -56*n + 22*n. Calculate the least common multiple of n and 126.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10 = -47. Calculate the remainder when 52 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104300015 (base 6) in base 5?\nAnswer: -440431304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 8 (b) -1\/10 (c) -1 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Let z(p) = -59*p + 2. Let f(q) be the first derivative of -115*q**2\/2 + 5*q - 39. Let j(r) = -2*f(r) + 5*z(r). Calculate j(t(o)).\nAnswer: 65*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 234042013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/552)\/(9\/1800).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2124\/1770 - (653\/(-60) - 1\/4). Which is greater: 0.36 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51885013 is divided by 137626.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**2 - 372*u = 0?\nAnswer: 0, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*l + 2*k, -322*k = -317*k - 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 12 = 2*z. Let t(h) = 2*h**2 - 6*h + 1. Let q be t(z). Suppose q*u + 270 - 882 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4982085?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2) - sqrt(4)\/sqrt(2)) + sqrt(16)\/(sqrt(40)\/sqrt(5)).\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 374.4305 kilograms?\nAnswer: 374430.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4720142.\nAnswer: 2, 7, 337153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/(4464\/672) + 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 810?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3.2. Let a = 77\/3 - 26. Suppose -11*t + 8*t = 0. What is the nearest to t in a, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, 0, 2\/3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 9*q - 3. What is h(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-20)*5\/(-2). Let m be (-16)\/(-6) - b\/6. Suppose 0*s + 66 = m*s. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.7776105 to one decimal place.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 49*h. Let q(x) = 3*x - 2082. Give l(q(c)).\nAnswer: 147*c - 102018","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -17 - (-2 - -10) - (4 + -18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1340984 and 1843853.\nAnswer: 14750824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**9\/22680 - a**8\/10080 + a**4\/2 + 7*a. Let b(h) be the third derivative of w(h). Factor b(f).\nAnswer: -2*f**3*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -13*b**3\/3 - 1. Let w(i) = -2*i**2 - 1. Let z(x) = -6*x**2 - 2. Let t(u) = 2*w(u) - z(u). Give t(m(g)).\nAnswer: 338*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1302517396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 114, 220, 314, 390, 442, 464?\n\"Answer: -g**3 + 113*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -208 at least as big as -208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 125 = 2*q + 3*d, -2*d = -3*q + 94. Suppose -4*y = -4*x + q, 5*x = 3*x + y + 9. Let b(a) = 2*a**2 + 1. Let j be b(1). Solve -f + x - j = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 253.04, -0.16, 1, 3 in decreasing order.\nAnswer: 253.04, 3, 1, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -225\/201422?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = b - 5*y, 4 = -5*y + y. Let z = b + 17. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -4. Suppose a*w - 12 = 4. Put 1, w, 3 in descending order.\nAnswer: w, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1766797691 to the power of 1\/2, to the nearest integer?\nAnswer: 42033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1141 - -2553?\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 2*b**2 + 5*b + 7. Let k be a(-5). Let u be 2\/(-4)*(-79)\/k. Let i = u + -1\/38. What is the nearest to i in -1, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36\/16927 or 1?\nAnswer: 36\/16927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-11 - -12 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 5. Let j be a(-7). Suppose 0 = -2*p + n + 6 + 2, -3*p + j*n = -13. Solve -p*f + f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2387 is divided by 138.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9958.372 hours to minutes.\nAnswer: 597502.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 12. Let z be i(0). Suppose -20 = -2*y + z. Let h(j) = -3*j + 5. Let u be h(y). What is u rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 9*v + 1. Let c be o(-9). Let m be c*(-1 - (-6 - 0)). Suppose -7*f - 3*d = -4*f, 0 = -2*f - m*d + 6. Put 2\/13, f, -0.3 in decreasing order.\nAnswer: 2\/13, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1702 is divided by 551.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.675778703 less than 0?\nAnswer: -15.675778703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3841 is divided by 150?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p = 22*p + 6. Suppose 0 = j - 4*a - 42, -4*j + 227 = j - p*a. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*t - 19575 = 4585 for t.\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 10:12 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 - 158*t + 484. Let b be r(3). What is the nearest to 0.1 in 2\/7, -0.4, 2, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 28 (b) -3 (c) -1\/2 (d) -14244\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -817\nAnswer: -22\/817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*r - 481*r + 147*r + 68*r**2 + 232*r.\nAnswer: 68*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5))**(-23))**(17\/7) assuming o is positive.\nAnswer: o**(1955\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*m = 345, 598 = 5*k - 4*m + 5*m. List the prime factors of k.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-2 - 0)) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.3 + -1.7. Suppose -1 = -j - 5. Let d be j\/(-16) + 2\/(-4). What is the third biggest value in 5, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1) - 32\/(-2 - 6). Solve n*d = d + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5449 + 54085?\nAnswer: 59523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5 + 1122\/(-2145) + 1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*w**2 + 1497*w - 540.\nAnswer: 3*(w + 36)*(14*w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a55 - 4?\nAnswer: 1a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37760 and 3776?\nAnswer: 37760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7168047 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doo. What is prob of sequence oo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*x - m = 61*x + 14, 4*x + 2*m + 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 6)*(-c + c + 2*c) + 6*c - c - 4*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**2 + g**2 - 3*g**2 + 5*g**3)*(118 - 118 - 5*g) in the form a + l*g**2 + k*g + z*g**3 + o*g**4 and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 6:07 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-10)*(-2 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161492.5164 rounded to the nearest 10?\nAnswer: -161490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14100 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4417, 4394, 4375, 4360, 4349, 4342, 4339?\nAnswer: 4340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**4 + 2*h**3 - 2*h + 91. Let j(a) = 3*a**4 - 7*a**3 + 7*a - 273. Let d(i) = 4*j(i) + 14*n(i). What is the first derivative of d(c) wrt c?\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 242 = -8*h. Find the second derivative of -5*p**2 + 23*p**2 - 35*p - h*p**2 wrt p.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7177 - 6142. Calculate the greatest common factor of i and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/(t**(-2\/5)\/t))\/(t\/t**(-2\/15))*(t\/t**1)**18)\/((t**(1\/4)*t*t**(2\/5))\/(t**0)**13) assuming t is positive.\nAnswer: t**(97\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 m, and 1 f when three letters picked without replacement from umepmurpufur?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)*j)\/(j*j\/((j*j\/(j\/((j*j**(6\/7)*j)\/j)))\/j*j)))\/((j*(j*j**2)\/j*j)\/(j\/(j**(2\/37)\/j)*j)) assuming j is positive.\nAnswer: j**(-828\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48608 (base 13) to base 16.\nAnswer: 206ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 396*j**6 + 69*j**5 - 2*j**4 + 232743*j**2 - 5*j?\nAnswer: 47520*j**3 + 4140*j**2 - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 37139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5*sqrt(20)\/(-3*sqrt(10)) + (sqrt(162) - (-2 + sqrt(162))*-1 - sqrt(162) - sqrt(162))))**2.\nAnswer: -500*sqrt(2)\/3 + 2150\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from oozr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*m + 57 + 54 - 111 in the form s*m + y and give s.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/55 and (-7)\/((-945)\/(-372)) - -3?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(200) + sqrt(200))*2)\/((sqrt(10)*2 + sqrt(10))*3))\/((sqrt(100) - (sqrt(100) - -1*sqrt(100))*1)\/(-2*sqrt(1440) + sqrt(1440) + sqrt(10))) + 5.\nAnswer: 5 + 44*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49858502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 62 - 89. Solve 5*m - 11 = j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/1 - (-4 - -2). Let t be 65\/78*(-2 - -89)*-3. Let r = t + 224. Is r equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*d + 14*d - 139230 = 0. Calculate the highest common divisor of 286 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**2 + 287*m + 372. Calculate q(73).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -25. Let c be (-12)\/b + (-2 - -1) + -1. What is the biggest value in -1, -3, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 8\/3*h - 2\/3*h**2.\nAnswer: -2*(h + 1)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than -2375097?\nAnswer: -2375105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4402.4 - 4402. Let m = -14.9 - -0.9. Which is the second smallest value? (a) m (b) 0.04 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1200 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 275 - 109. Let t = h + -246. Let g = t + 80.02. What is the third biggest value in 5, 0.2, -1\/8, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/161372 or -1?\nAnswer: -1\/161372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-320)\/(-105) + -3). Let w(p) = p + 26. Let i be w(h). Find the second derivative of -4*v - 2*v + 5*v - i*v - 22*v**3 wrt v.\nAnswer: -132*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, g: 1, r: 3, x: 4}. Give prob of picking 2 f.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -1. Suppose 2*c - 1 = i + 6*c, 4*i = -c + 11. Let p be 42*(i + (-4)\/2). Calculate the highest common factor of p and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -348143231\/840 + 414456. Find the common denominator of v and -73\/924.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 5*n**2 + 7*n. Let s be t(3). Suppose 0*w - 69 = s*w. Let g = w - -38. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 + 86. Put -3, q, 2, -4 in ascending order.\nAnswer: -4, -3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1311*k = -1340*k + 319 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d - 2. Suppose -15 = -d*o - 7. Suppose -3*h + h + 2*s = -36, -o*s = 4*h - 32. Sort h, -1, -3 in descending order.\nAnswer: h, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h + 2. Let o(u) = -110*u + 153. Let m(x) = 5*j(x) + o(x). Differentiate m(n) with respect to n.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 35 = -0*v + v, -4*v = 2*g - 52. Calculate the greatest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10038 + 25*y**2 + 24*y**2 - 10036 + 4*y**2.\nAnswer: 53*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*u + 65 = 0, -5*u + 84 = 5*b + 9. Let w(n) = -n**2 + 14*n + 14. Let q be w(14). What is the highest common divisor of q and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/4 - 7*z**2\/2 + 14*z - 16.\nAnswer: (z - 8)*(z - 4)*(z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 107, 110?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 92019*o - 151917?\nAnswer: 92019","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509 less than 1524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24 and -67?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1444755439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 50*x**2 + 66*x + 35. Let t(h) = 17*h**2 + 23*h + 12. Let r(d) = -6*c(d) + 17*t(d). Let g(o) = 12*o**2 + 6*o + 7. Determine -6*g(f) - 7*r(f).\nAnswer: 5*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 - 39. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-37 - (3 - (-10 - -21))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/1153 (b) 23 (c) 2 (d) 37 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3129 - 2737 = 28*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/10)\/((-42)\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5765435969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31173460 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdkqkkdkq. What is prob of picking 2 q and 2 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 8. Let k = -5 - c. Sort 4, k, 0 in increasing order.\nAnswer: k, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7439*o + 7110*o + 11515 = 0 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/37, 2\/7, -46\/25, -47?\nAnswer: -46\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -q, 13*q - 8*q = -f. Is -6 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8*h + 4. Let q(g) = -g**2 - 23*g + 11. Let d(r) = -7*j(r) + 2*q(r). Let s be d(6). Let k = s - -36. Calculate the highest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -28*(-26)\/91*179.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/109 or 0?\nAnswer: -5\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**5 + 3*a**4 + 2180119*a**3 - 2*a**2 + 541*a - 103587 wrt a?\nAnswer: 240*a**2 + 72*a + 13080714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = 176, 24*v = 4*b + 28*v + 72 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(34)\/(sqrt(6)\/sqrt(3)) - sqrt(17) - -3*sqrt(68))**2 + (sqrt(204) + sqrt(204)*-1*1)\/sqrt(12)) + 0.\nAnswer: 3672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5649 - 5649 + 10*z + 2*z + 6*z**2.\nAnswer: 6*z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 6*t - 10*t - 156, -t = -3. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*r + 183, -s + 0*s - 5*r + 33 = 0. Suppose -2*f - 3 = -11, 0 = 4*t + f - s. Calculate the remainder when 41 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179997 or -179996?\nAnswer: -179997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 4:12 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18015 and 1185.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4016, 4014, 4012, 4010, 4008, 4006?\n\"Answer: -2*d + 4018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31447 is divided by 6289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c**2 + 427 + 2139*c - 144 + c**2 - 1705 + 4*c**2 = 0 for c.\nAnswer: 2\/3, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240.003*-15.\nAnswer: -3600.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 7:49 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 443141 - 333030?\nAnswer: 110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -88447 to the nearest 1000.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -356 (b) -37\/3 (c) -1 (d) -0.2 (e) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -669 + 664. Which is the nearest to -0.1? (a) -0.4 (b) l (c) 0.4 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((2175\/(-50))\/29)\/2)\/(21\/(-1960))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 46 - 9705 = 4*d, 3*d - 1928 = -k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*b + 76127 + 2677. What is the highest common divisor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18983.\nAnswer: 41, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 26*i - 5 = 4*f, 5*i - 3*f = 90. Let k be (0 - (0 - 0))\/(14 - i). Solve 0 = 2*l + 4*a - 2, a = 4*l - 4 - k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d*d\/(d**(-2\/5)\/d)*d)**(-29)\/((d**1)**37\/(d\/(d**6\/d)*d**3*d)) assuming d is positive.\nAnswer: d**(-1258\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 at most as big as 1369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.65492 to one dp.\nAnswer: -64.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 492018 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -29. Suppose -3*v - 75 = -2*u, -4*v + 25 = v. What is the remainder when u is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4) + 3900\/48. Let u = 241 - t. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134137714.\nAnswer: 2, 1153, 58169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 458*c. Let w(q) = -82*q**2 + 19. Calculate v(w(u)).\nAnswer: -37556*u**2 + 8702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 10 = -10. Suppose -m + 5*k + 30 = 0, -4*k = h*m + k. Let f be (-9)\/(4\/((-40)\/3)). Solve m - f = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2142525)\/(-82467) + 0 + (-1)\/(-51)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + -76. Does 22 divide a\/((-8)\/4) - -18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 2 + 11\/3*p**3 + 0*p**2 + p**4 + 0*p. Find the third derivative of r(h) wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-250)\/832 + (1402 + -1457 - (-1761)\/32)?\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2 (c) 99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/3676 and 59\/40.\nAnswer: 36760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(45) - (sqrt(135)\/(sqrt(3)*2) + sqrt(45)) - sqrt(45))\/((sqrt(36) - sqrt(144))\/sqrt(4)).\nAnswer: -4 + 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, f: 1, m: 1}. What is prob of sequence md?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76365, 76369, 76375, 76383, 76393, 76405, 76419?\nAnswer: 76435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**3 + 2*d**2 + 3*d - 10. Let v be (-62)\/(-22) + ((-18)\/(-33))\/3. List the prime factors of k(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 16*p**2 - 17*p - 10. Let k be s(-15). Suppose 4*w + 0*w = -2*u + k, 2*u + 5*w = 24. Solve -j = -u*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49820)\/(-282))\/(-5*15\/45).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2985945 and 85785.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 0*w - 1\/24*w**4 + 0 + 1\/6*w**3 + 13*w**2. What is p(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-351.2.\nAnswer: -35.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -27*t**2 + 15*t - 228. Let o(h) = -14*h**2 + 8*h - 114. Let d(i) = 5*o(i) - 3*r(i). Differentiate d(s) wrt s.\nAnswer: 22*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8751278?\nAnswer: 2, 4375639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -16516\nAnswer: 3\/16516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -139*w**7\/42 + 113*w**4\/12 + 182*w. Find the third derivative of t(h) wrt h.\nAnswer: -8340*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (9\/3)\/((-9)\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 5*q - 850, 0 = -5*s + 2*q + 734 + 123. Let c = s + -24. What is the remainder when c is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*o + 1086, 12*o - 16*o - 3*t + 1434 = 0. Solve 0 = -88*j - 2*j - o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -614*s + 609*s + 4060 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-26*w + 3*w + 4*w).\nAnswer: -38*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15430 and 730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 507321*y*z - 6593932*z wrt y.\nAnswer: 507321*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 2*x**5\/45 - 2*x**3\/9 - 2*x**2\/9 - 6. Factor u(j).\nAnswer: 2*j*(j - 2)*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/42145 (b) 2\/9 (c) -2 (d) 8 (e) 2 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 0*m**3 + 0*m**4 - 4\/5*m**5 + 4 + 0*m**2 - 2*m. Differentiate v(h) with respect to h.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**4\/4 - c**3\/2 - c**2. Differentiate o(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*z - 2722, 6*z = 3*p + 3*z - 4098. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 9*j + 9. Let q be (-1 - -2) + -2 + -8. Let g be i(q). What is the highest common factor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 534 = 3*p, 3*a - 537 = 3*p - 0*p. Which is greater: -177 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 76 = -3*f, 2*f - 20 = -2*y - 3*y. Let o = 4 + f. Let u = 44 - o. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - r + 1. Suppose 3*w = -5*j - 2*w + 30, -3*j + 3*w + 6 = 0. Let q(a) = 0 + 3*a**2 - j + 1 + 3*a. What is q(f) + 4*u(f)?\nAnswer: -f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 14552630.\nAnswer: 43657890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 0, 44, 5, 2 in decreasing order.\nAnswer: 44, 5, 2, 0, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5555 divide 561377190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 + -48.92. Let k = v + 44. Let l = -2349\/8 - -294. Which is the third smallest value? (a) l (b) 5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 0*c**2 + 0*c + 0*c**5 + 31 + 36*c**3 - 1\/6*c**6 - 5\/4*c**4. What is the third derivative of v(u) wrt u?\nAnswer: -60*u**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 6*v + 4. Suppose 0 = 4*p - 12, -v*s + 0*p - 5*p = -43. Solve -s = u - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1909414*k*s + 12*s - 512763 wrt k?\nAnswer: -1909414*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**4\/4 + 13*x**3\/3 + 11*x**2\/2 - 26*x + 14. Let y be n(-12). Let j = 2 - y. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2901446.\nAnswer: 2, 409, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*b - 171*b - 161*b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q + 15 = 0. Let z be 3 - 2 - 8631\/q. Suppose 4*k - 2*k = -4*a - z, -a - 2*k = 718. Round a to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -170*h - 3. Let o be n(0). Put -5, 0, o, 39 in decreasing order.\nAnswer: 39, 0, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 7:31 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15027, 59931, 134769, 239547, 374271, 538947?\nAnswer: 733581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 + 5*m**3 - 2*m**3 + 7*m**2.\nAnswer: -2*m**3 + 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 2643.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -65?\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*m - 6. Suppose -121 = m*g + 68. Let p be 711\/g - (-4)\/14. Sort 5, p, 4 in decreasing order.\nAnswer: 5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdhttrhxhhhhhharthhh. Give prob of sequence ax.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 15. Let q = g - 24. Let d be (2\/(-3))\/((-6)\/q). Does 0 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.2 (b) 2\/7 (c) -11.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -169 - -168. Suppose 0 = -2*y - 4*t + 28, -2*y + 2*t - 17 = -3*t. Let f = c + y. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*(-91)\/(-975)*-3*-30\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.02, 4.424, -37\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from {u: 2, x: 2, s: 1, b: 1, h: 1, t: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/21, 172535, -3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/6 - 2\/(-4). Suppose -k*h + 579 = 189. Suppose -2*z = -7*z + h. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8702 - 8389. What is the remainder when 7508 is divided by r?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*i + 1644 = 87*i. Let l(m) = i + 273 - 548 + 6*m. Let u = 0 - 1. Give l(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -169 + 169.1. Sort -1, 1, a, 4 in ascending order.\nAnswer: -1, a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 16*m**2 - 37*m + 335. Let w be l(15). Solve 0 = -w*c + 4*z - 78 + 83, z = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90.98 + -91. What is the second smallest value in -4, -0.3, -6, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 31*v**3 - 533*v**2 + 6*v + 1662. Let m(n) = 57*n**3 - 1062*n**2 + 11*n + 3324. Let d(k) = 6*m(k) - 11*z(k). Differentiate d(a) wrt a.\nAnswer: 3*a**2 - 1018*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 s, and 2 n when four letters picked without replacement from fmnnnzpfznsf?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -11342, 68, 13 in ascending order.\nAnswer: -11342, 13, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 143935639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2897.\nAnswer: 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*j - 246 = -122 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -487103*0.04\nAnswer: -19484.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12, -37, 5 in increasing order.\nAnswer: -37, 1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 12*s + 1. Suppose 0 = 5*n + 5, -4*n - 2 - 11 = -o. Determine c(o).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101011000111101 + -110001?\nAnswer: 11101011000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 1.6 (c) 4 (d) -9 (e) -2 (f) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -22*v**2 - v + 1. Determine m(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -11*n - 3. Let g(b) = -2605*b**2 + 55*b + 13. Determine g(k) + 5*i(k).\nAnswer: -2605*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**(2\/15))\/g*g*g**10\/g*(g\/(g*g*g*g*g\/(g\/(g*g*g\/((g\/(g\/(g*g*g\/(g\/g**(-2)))))\/g)))))**(-30))**(-11\/5))**(-1\/57) assuming g is positive.\nAnswer: g**(36487\/4275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(7\/5)*g*g)\/(g**(2\/7)*g*g) assuming g is positive.\nAnswer: g**(39\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + o**2)*(-o - 4 + 4)*(5 - 1 - 1)*(7 + 5 - 15).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5102868 (base 9) to base 5.\nAnswer: -1143442142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5420 = 6*b. Suppose 5*x + b = 3*x. Is (-1)\/1*(x + -5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.9 (c) -3\/10 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57290 - -0.0968425?\nAnswer: 57290.0968425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -9946\nAnswer: -1\/9946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 9. Let j(d) = 0 - 5 - d - 1. Let n be j(-6). What is the second smallest value in -1\/7, n, r?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 11:20 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgg when three letters picked without replacement from {y: 4, g: 2, x: 2, l: 3, u: 1, c: 2}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1003 + 30?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**3\/3 + 13*b**2\/2 + 33*b - 11. Let y be g(15). Suppose 5*p - z = -2*z + 257, -y*z = 9. Is 26 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4926, 4927, 4928?\n\"Answer: r + 4925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1553870 to the nearest 10000.\nAnswer: -1550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 121956, 244091, 366226, 488361, 610496, 732631?\n\"Answer: 122135*g - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -65009296 at least -65009296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 11:44 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*f - g = 211*f - 16, 0 = 5*f + 3*g - 13. Which is the third biggest value? (a) 4 (b) f (c) -1 (d) 2554\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6248.4 - 5562. Let p = m + -686. Let a = 0.04 + -0.44. What is the third biggest value in p, 2\/13, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 3*s - 3. Suppose k = -3*p - 4, -4*k - 3*p + 2 = -0*k. Let h be 10*(k + (-6)\/4). Let g(q) = q**3 + 2*q**2 + 5*q - 5. What is h*j(f) - 3*g(f)?\nAnswer: -3*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/35, 50, 74, 48 in decreasing order.\nAnswer: 74, 50, 48, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + 28*b - 15. Let s(z) = -3*z - 16. Let o be 1\/(-2)*(1 - (-2)\/(-2)). Let q be s(o). Is x(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 0 - 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 4, 16, -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 43\nAnswer: -8\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 2*k + 0*k)*(-5*k + 6*k - 3*k)*(-15 + 4 + 16)*(k**3 - k**3 - 10*k**3).\nAnswer: -500*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 11 = -25. Let w(n) = n + 13. List the prime factors of w(r).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1073383730 and -200180?\nAnswer: 1073183550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 76?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 38*o + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1146 and 2682404?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -974397.01 rounded to the nearest ten thousand?\nAnswer: -970000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**3\/6 + 9*i**2\/2 - i. Let k be l(-6). Suppose -k = -4*z + z. Calculate the smallest common multiple of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -3. Let i = -5.8 - -0.8. Let a = 5.2 + i. What is the nearest to -1 in h, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**2 - 27*c**2 + 2*c**2)*(-24 + 16 + 20*c + 1) in the form g + i*c + a*c**3 + q*c**2 and give q.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5786726 + 986726 = 5*z, 5*f - 24000000 = 2*z. Round f to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(-1 - -6)\/(-15). Solve -4*c = m + 6, -5*c + 5 = -4*m - r*c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2127850402091 - 135.\nAnswer: 2127850401956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-57)\/(-21) + 1 + -4. What is the nearest to 2 in -2, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d**1*d))*d\/d**(2\/9) assuming d is positive.\nAnswer: d**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -195. What is the least common multiple of 6 and n\/(-12) - (-14)\/(-21)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 867 - 862. Let d = -14 + 29\/2. Sort f, 3, d in ascending order.\nAnswer: d, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -64*v**2 - 2 - 16*v**3 + v - 65*v**2 + 128*v**2 + 3. Let r(k) = -k**2. Let q be r(1). Determine z(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/(-1)*-22. Let d = 17 - 33. Let x = b - d. What is the greatest common factor of 18 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.9 + 0.9. Let c = 13 + p. Is -4 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 126029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(112))**2 - (0 + sqrt(700))**2) + 1 + (sqrt(35)\/(sqrt(5) - sqrt(5)*-1) - sqrt(7)).\nAnswer: -587 - sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 >= 1077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 8:32 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8990096 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452654?\nAnswer: 2, 89, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36136798, 36136797, 36136796, 36136795?\n\"Answer: -j + 36136799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 740280.\nAnswer: 740280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssag when four letters picked without replacement from {a: 1, s: 2, m: 1, g: 7, b: 5}?\nAnswer: 1\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + s - 2 = n, 2*s + 38 = 5*n. Suppose -3*k + 972 = n*k. Suppose -4*q = q - 5*h - 140, 5*h = 4*q - k. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -119517173.2\nAnswer: -119517170.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*b**2 + 59*b**2 + 30182*b**3 - 30136*b**3 + (4 + 0 - 3)*(2 - 2 - 2*b**3) in the form m + f*b**3 + c*b + r*b**2 and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.076138053 + -648.\nAnswer: -679.076138053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = -0. Let z = -0.58 - -0.5. Let c = -0.02 + z. What is the closest to 0.1 in -1\/4, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*l + 2*m = 0, 0 = -4*l - 3*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or 232?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12201012011 (base 3) to base 4\nAnswer: 123130111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(1\/13)*z)*z**(2\/29)\/z*z assuming z is positive.\nAnswer: z**(-3\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*w**2 + 304*w**2 + 161*w**2 - 24*w**2.\nAnswer: 578*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41436856*m**2*t + 147*m*t - 2450*m - t wrt m?\nAnswer: 82873712*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -0.1, -0.5, -2\/9 in ascending order.\nAnswer: -0.5, -2\/9, -0.1, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u = -12*u - 72. Let h be 2\/9 + (-2 - (-104)\/u). Put -6, -3, h, 0.2 in descending order.\nAnswer: h, 0.2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (9968\/(-392))\/((-2)\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1679a (base 15) to base 9.\nAnswer: -120521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = -30*p + 243 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grs when three letters picked without replacement from eangrsgn?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -9\/1547197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.261046 months in decades?\nAnswer: 0.21884205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 403?\nAnswer: 29\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*p**2 + 4\/11 + 6\/11*p.\nAnswer: 2*(p + 1)*(p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 8\/7, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -11\/134220432 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/43 at most -8785\/278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from {l: 1, u: 5, a: 1, t: 4, v: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - -310. Let l = q - 330. Let f = 2 + 0. What is the greatest common divisor of l and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2064.4 and -82.\nAnswer: 1982.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + w + 4*w)*(1 - 1 + 4) to h + c*w and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1403*d - 1536*d + 328265 = -1305*d + 2321*d for d.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 185 by -5.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2\/(-1) + 0). Suppose -24*p**4 + 7*p + r*p + p - 10*p**5 + 2*p**3 + 24*p**2 = 0. What is p?\nAnswer: -2, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m - 2*m + 6*m**2 + 5 + 4*m - 6. Give s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -8.71.\nAnswer: -13.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*s - 2*s - 270 = -11*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6876058?\nAnswer: 2, 7, 17, 167, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/19 + -33\/95. Which is the biggest value? (a) 0.3 (b) 1\/8 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*m**3\/5 + 1101*m**2\/5 - 189*m\/5 - 9909\/5 = 0. What is m?\nAnswer: -367\/7, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41239327*f**2*l**2 - 2*f*l**3 - 44648893*l**3 wrt f?\nAnswer: -82478654*f*l**2 - 2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*j + 9 = 1, j - 12 = -4*t. Find the third derivative of 1 - 4*q**t + 16*q**3 + 3*q**3 + 3*q**3 + 0*q**2 wrt q.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594 + 480 - 11964 = 495*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010117537 to 6 decimal places.\nAnswer: 0.001012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.3759 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -18 (b) 5 (c) -1\/25 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/129 and 79\/24.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -38, 3, 2, 6 in decreasing order.\nAnswer: 6, 3, 2, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-121968)\/12276 - (-5 + -5).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-2\/7)))**(-22)\/(a\/a**(-1\/5))**(-39) assuming a is positive.\nAnswer: a**(1858\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -17, 16, -0.2, 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-318 + 323)\/(1 - 0)*(13 - (-8936)\/(-680))\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186440806 to the power of 1\/2, to the nearest integer?\nAnswer: 13654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/496 and -29\/10168.\nAnswer: 20336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -617685588 by -13.\nAnswer: 47514276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5 - 3*g**4 + 9*g**3 + 27*g**2 = 0. What is g?\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 24, 21, 18, 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 156022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 8:01 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 21 = -3*c, 0*o = 5*c - 2*o - 32. Let k = 3 - c. Let i = 5 + k. Solve 2*w = -4*h + 30, 0 = 2*w - 4*h + i*h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 21 = 4*r - 7, 3*o - 2*r = 58. Let s = o + -14. Suppose 3*h + 2*h = 4*q - 67, -s*q = 4*h - 112. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23777311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - 2) + 11 - (-4182 + 4079)) + 6.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -2*sqrt(2)*2 - sqrt(2) - (sqrt(2) + 1 + sqrt(18) + sqrt(2)))**2.\nAnswer: 18*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (8 - 4) + (-1 - (5 + -10))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Let d(v) = 2*v - 1 + v - l*v. Let x(k) = -16*k + 7. Let a(m) = 21*m - 8. Let q(t) = -2*a(t) - 3*x(t). Give -4*d(u) + q(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 76079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**4\/3 - 500*b**3\/3 + 5984*b**2\/3 - 17920*b\/3 = 0.\nAnswer: 0, 5, 8, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 3:20 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-16) - 1)\/((-1)\/(-6)). Which is the biggest value? (a) -0.5 (b) q (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41665 - 0?\nAnswer: -41665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1302 - -1319. Solve 4*g - 5*u - 8 = 0, 4*g - 5*g + 5*u + c = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 = -2. Let x be (-8)\/(-1)*3\/6. Let k be (x\/12)\/(2\/(-9)). Which is greater: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g - 15 = 0. Let l = 559 + -2231\/4. Which is the fourth smallest value? (a) -1 (b) g (c) -2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5426 at least -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4 + 754*p**3 + 44616*p**2 = 0 for p.\nAnswer: -52, 0, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(4\/9)\/k)*k**(2\/19))\/((k*k\/(k*k\/k**3*k*k))\/k)**8 assuming k is positive.\nAnswer: k**(284\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*m - t + 4, 0 = 2*m - 4*t + 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 7:54 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1391 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 298, 671, 1194, 1867?\nAnswer: 2690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -4. Put 5, -4, h in descending order.\nAnswer: 5, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4008, -6846, -9684, -12522?\nAnswer: -15360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 + 3*i**2 + 3*i - i**2 + 4*i as f + a*i**2 + r*i and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + 1*sqrt(1331) + sqrt(1331) - (sqrt(1331) + -1*(sqrt(1331) - (-3 + sqrt(1331))) + sqrt(1331)))*-1 + -3 + -4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17102*p - 1207 = -17091*p - 426 for p.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/2)\/((-150)\/(-25)))\/((-15)\/8)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/26*(-2)\/(-8)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11363*p**2 - 9558*p**2 + 7397*p**2.\nAnswer: -13524*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**3 - 5187*r**2 + 525315*r - 520125 = 0 for r.\nAnswer: -1825, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = x + 4*w - 4, 0 = 5*x + 5*w. Find the third derivative of 25*n**x + 18*n**6 + 14*n**6 - 216*n + 217*n wrt n.\nAnswer: 3840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41617509 by 13872503.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 138 + 123 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 7. Let j(h) = 5*h**2 - 39*h + 1. Let w(n) = n**2 - 6*n - 1. Let x(q) = -j(q) + 6*w(q). Calculate x(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 5*v + 805, 0 = 5*v - 2*v - 15. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 15360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 3. Let i be o(2). Suppose -15 = -u + 4. Let q = u + i. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 8*a - 92 + 49 + 24.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 0*x - 48. Let h be x\/(-3)*(-6)\/(-8). Let p = 6 + h. Calculate the highest common divisor of p and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439912507 is divided by 2808?\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10552 a factor of 2256533554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 0.12?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 50, -1\/10, 27, -3, -14\/5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/7 (b) -5 (c) -188 (d) -0.5 (e) -6 (f) 0.07 (g) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4) - (351\/195 + (-22)\/(-10))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11745 + -972. List the prime factors of n.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 5023 + 9680. Is c a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 7*o - o + 0*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24290 + -24293. What is the nearest to -77 in -1\/12, 2\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*w - 32 = -142*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**1*g**(-3)\/g)**(-13))**(3\/22))**(-35) assuming g is positive.\nAnswer: g**(-4095\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.169 and -32.\nAnswer: 5.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 3*u - 7. Let i(w) = -w**2 + w + 8. Let q be i(3). Let v be q + (-12)\/9*-3. Give j(v).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -20*k**3 - 30*k**2 - k - 4. What is c(-2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67236 is divided by 410.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.4274553 hours?\nAnswer: 1538839080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i + 9. Give d(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m**2 - 21 + 21)*(8 - 7 + 11) to g + t*m**2 + n*m and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 737732988 to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*a**2*x**2 + 24673*a**2*x + 205687*a*x**2 + 2*x**2 + 2*x wrt a?\nAnswer: -104*x**2 + 49346*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 455395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-274)\/(-18) + (-4)\/18. Let b(j) = -j**3 + 14*j**2 + 18*j - 7. Let o be b(p). What is the second derivative of -30*s + 24*s**3 + o*s - 31*s wrt s?\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1140967121 by -36805391.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, w: 3}. Give prob of picking 3 w.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*k - 35, 3*x + k - 17 = 2*x. Calculate the remainder when x is divided by (-580)\/52 + 11 + 80\/13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 12*j**2 + 12*j**2 + 2*j**3 + 2)*(9 - 9 - 2*j).\nAnswer: -4*j**4 + 6*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -c + 3*f, -20 = 5*c - f + 33. Let p(z) = -z**3 - 10*z**2 + 11*z + 2. Let v be p(c). Factor -7*u + 11*u**2 - 5*u**3 + u**2 - 3*u**2 + v + u**4.\nAnswer: (u - 2)*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.1 + 37. What is the closest to 2\/3 in -0.2, -2\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 32. Let c be (k\/6)\/((-6)\/36). Suppose -3 = -z + 4*s - 18, -45 = -5*z - 4*s. Solve -3*x = x + c*v + 4, -4*x = z*v + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 957\/19 - 11831\/190. Calculate the common denominator of ((-76)\/(-16)*14)\/9 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a microgram in nanograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllwlwl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 + 0*x**2 + 0*x**2 + (2*x - 3*x + 0*x)*(-2*x**3 + 0*x**3 + 0*x**3).\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329381.\nAnswer: 13, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 0*p**4 - 1\/60*p**6 + 0*p**5 + 0*p + 2\/3*p**3 + 0 + p**2. What is the first derivative of s(r) wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 - 5*g**2 + 3*g. Let o be l(-4). Let v be (-1 - 0)\/((-9)\/o). Let p(s) = s + 6. Let q be p(6). What is the greatest common factor of q and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7891123.\nAnswer: 7891123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 293566 divided by 1613.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/44)\/(9653\/(-18900574))\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -26 + 292 - 2645*v - 266. Let f(g) = -2*g**2. Calculate f(m(j)).\nAnswer: -13992050*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 12fcb046?\nAnswer: -12fcb042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 3704275*k**2 - 33338880*k.\nAnswer: 5*k*(k - 9)*(k + 740864)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 17. Solve -2*a + a = l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjv when three letters picked without replacement from vjjj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -10. Let x = c + 11. Let l = -339.2 - -339. Sort l, x, -1\/2 in increasing order.\nAnswer: -1\/2, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from neerhne. Give prob of sequence erh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-216)\/(-16) - 3\/(-6). List the prime factors of (-874)\/(-1)*i\/28.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 295483037*v**2 - 10488*v - 9190?\nAnswer: 590966074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 254.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - q - 2)*(1 - 1 - 2*q) + 22*q**2 + 20*q**2 - 51*q**2 + (2 - 2 + 3*q)*(q + 2*q - 5*q).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.465005978 + -3.465. Round i to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/((-2 + 3)\/4). Suppose -u = u - y. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 + 5846*a**2\/5 - 11699*a\/5 - 17544\/5.\nAnswer: (a - 3)*(a + 1)*(a + 5848)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12 - 1.12. Suppose 0 = -7*l - 0*l - 28. Let r = -3532 - -3532.12. Which is the fourth smallest value? (a) l (b) r (c) j (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Let k(a) = -a**2 + 5*a - 1. Let d(t) = -t**2 - 2*t. Let b(l) = 3*d(l) + k(l). What is b(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - w**2 - 6*w**2 + (-3 + 1 + 3)*(8*w + 11*w**2 - 8*w) in the form t*w + a + o*w**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -9356\/1825, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42800116?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3744 + -3691. Solve -6 = -3*r - k, 4*k + q = 3*r + 62 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 218.5\nAnswer: -218.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. Suppose 6 = -3*i, 4*x + x - 14 = -l*i. Let j(p) = p**2 - 4*p - 2. Give j(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**4 - 164*h**3 + 3*h**2 - 10*h + 634176.\nAnswer: -8*h**3 - 492*h**2 + 6*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9072240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 6*p - 1. Let c be t(5). Let l(x) = -13*x + 4*x - 4 + 0*x**2 - x**2. Calculate the smallest common multiple of 14 and l(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 204258673 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 = 2*c - c, 0 = -b + c + 5. Let i = 16 - 15.3. Let l = -2.3 - i. Is b less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a - 9 = 0. Let s = a - -37. Let f = -277\/6 + s. Sort f, -1, 2\/15 in increasing order.\nAnswer: -1, f, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -139, 5, -1.444?\nAnswer: -1.444","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21356 + 21363. Which is bigger: -182 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**3 + k**3 - 2*k**3 + 2*k**3 - 306*k + 306*k.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -349*i + 331*i - 70 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**4\/8 - t**3\/6 + 89*t**2. Let s be -1*((-2)\/(-1) - -1). Let y be f(s). Which is smaller: y or -9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + 6*r - 5. Let h(l) = -l**2 + 3*l - 2. Suppose 3*c = p + 4, -c + 2*c - 8 = -3*p. Let s(i) = p*u(i) - 5*h(i). Determine s(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4 + 15 + -6 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21 + 1f?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14552 <= 14544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.64282 and 17344.2364.\nAnswer: 17343.59358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**5\/4 + 78*w**4 + 1611*w**3 - 814131*w**2\/2 + 50031351*w\/4 - 121671801\/2 = 0. What is w?\nAnswer: -73, 6, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2352667 to the nearest integer?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(2\/46) + 0 is divided by 420\/63*(-6)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -51.2 and 0.517.\nAnswer: -50.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d - 1. Let b(x) = 36*x + 5. Give 4*b(m) + 22*r(m).\nAnswer: -10*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 38, -1\/8, 1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073009789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000062133 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24816a + -30?\nAnswer: 24813a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12100 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 t be -21*(-2)\/(-6)*-1. What are the prime factors of t + 8 + -1 + 1?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 less than or equal to 377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5294 - 2653 - 3181 = -23*i + 8*i for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*b - 1476496, -4*a = -5*b + 2655927 + 3250083. What is a rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**5 + 295*j**4 + 2775*j**3 - 6415*j**2 + 3350*j = 0?\nAnswer: -10, 0, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q + 71. Suppose 3*b = 4*n + 5, 3*b - 1 = -5*n - 41. Let s be ((-60)\/n)\/(2 + (-1 - 0)). Let i be j(s). Solve -2*o = 3*t + t, 3*o - i = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433 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: What is (3\/42)\/(16\/1152*-6)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/6 - (0 - 6). Suppose 5*z = 4*z + 2*t, -t + 7 = 3*z. Solve 5*o + z = u*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5334761 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: Calculate the greatest common divisor of 363 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((30\/(-81))\/(-5))\/(33\/594)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 954629148 to the power of 1\/2, to the nearest integer?\nAnswer: 30897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7271 rounded to the nearest one hundred?\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000 - -100000010100010000?\nAnswer: 100000010110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((4 - 41 - -3) + 4)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*o - x = 752*o + 8, -o - 2 = 4*x for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -7*j**6\/3 + 116*j**5\/5 + 145*j**4\/2 - 512*j**3\/3 + 60*j**2 + 326. Solve v(m) = 0 for m.\nAnswer: -3, 0, 2\/7, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0287 + -273.0287. Let s = b - -293.3. What is s rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17202039 is divided by 533?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -492 - -491. Let h(k) = 26*k - 1. Give h(c).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 3*x**2 - x**2)*(-74 + 74 - 116*x).\nAnswer: 232*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1761 = 184*w - 473 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -94 divided by -30\nAnswer: 47\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**3 + 1020615*s**2 - 86804071209*s - 86805091827 = 0.\nAnswer: -1, 170103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 3:41 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5 + 19747*b**4\/2 + 93671*b**3 - 365336*b**2 - 3629760*b + 1893888 = 0. Calculate b.\nAnswer: -9864, -8, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.7, 2, -0.07, 2\/15?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1512406 - -5?\nAnswer: -1512401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15227 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/3 + 19*d\/3 - 16 = 0. What is d?\nAnswer: 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 + 127.6. Let v = -12.6 + w. What is the smallest value in v, -1, 1\/4, 43?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1948122.396 - -27?\nAnswer: -1948095.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -957 + 887. Which is the closest to 1\/3? (a) -4\/7 (b) m (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 6*q**2 - q + 1. Let n(j) = -j - 5. Let f be n(3). Let u(w) = -4*w - 26. Let d be u(f). What is b(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(680\/34))\/(1\/((-30)\/(-8)))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 203595851.8 - 0.6.\nAnswer: 203595851.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**3\/6 + 6*h**2 + h. Let u be n(0). Suppose -f = -2*f + u. Calculate the remainder when 21 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53 + -42?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 152? (a) 45 (b) -4\/3 (c) 4\/7 (d) -4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440300978 divided by -13.\nAnswer: 33869306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 52367.022 minutes?\nAnswer: 36.3659875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0420258 - -0.042. Round k to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 2*w + 300. Suppose 2*o - 7*o = -w. Suppose 0 = -4*f + o, 4*y - 5*y - f + 19 = 0. Solve 0 = 5*c - c + y, -3*p - 4*c - 1 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11 - 5\/(70\/(-1148)). Solve 21*z - j - 13 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 474.9187 millennia to decades.\nAnswer: 47491.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 575 - 586. Sort 0.3, 17\/2, p, -1\/4 in descending order.\nAnswer: 17\/2, 0.3, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 96 = -2*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*x**2 - 653*c**3*x + 118571*c**2*x**2 + 156*c*x wrt x.\nAnswer: 2*c**3 + 237142*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7938*c + 200581 - 127473 + 176031 = -195389 for c.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739 is divided by 154?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 < -30106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 17*t + 6 = 0. Sort t, -5, -30, -12.\nAnswer: -30, -12, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13*(12\/4 - 2). Suppose 4*g + 50 = -2*m, g - b = -2*m - 33. Let u = -13 - g. Is -3 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -220 - -225. What is the smallest value in r, -3, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 165 - 161. Solve -i*s + s - 12 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/4*52571160\/2700?\nAnswer: 48677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184251 by -42.\nAnswer: -61417\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let c be 0*((-1)\/(-3) - 0\/4). Let w(k) be the second derivative of -1\/6*k**4 + c*k**2 - 3*k + 0*k**3 + 0. What is w(f(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(12)*-2 + sqrt(12) + sqrt(12) - -3*sqrt(48)\/sqrt(4))\/(-6*sqrt(96)*2)*6.\nAnswer: -3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1384, 1306, 1186, 1030, 844, 634?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*z**5\/21 - 20954*z**4\/21 - 20508*z**3\/7 - 37144*z**2\/21 + 3376*z\/21 = 0. Calculate z.\nAnswer: -2, -1, 0, 2\/25, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 12*d**2 + 2*d - 18. Let z be j(12). Let s = -6 + z. Let t = -6 - s. Sort t, 3, -3 in descending order.\nAnswer: 3, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i - 3*i - 14*i**2 - 5 - 2*i - 3*i to the form g*i**2 + j*i + q and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4738, 4781, 4834, 4903, 4994?\n\"Answer: u**3 - u**2 + 39*u + 4699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2\/2 - 854*c + 20208 = 0?\nAnswer: 24, 1684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2094*i + 2116*i - 132 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*o - 58*o + 115*o - 80*o**3 + 57*o**3.\nAnswer: -23*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 630*o - 4*o**3 - 81*o**2 + 627*o + 81*o**2 - 1257*o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 2435.43.\nAnswer: 730.629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1109*v = 1097*v + 70 + 14 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-3 - -18 - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/106008 and 95\/5777436.\nAnswer: 11554872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - l + 1. Let f(s) = -4*s**2 + 3*s + 5. Let u(r) = -f(r) - 3*z(r). Let i(k) = 2*k**2 - 3. Calculate -8*i(w) + 3*u(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9623 by 712.\nAnswer: 9623\/712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s - 28. Let m be f(4). Suppose 932 = m*v - 1012. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*n - 4*n + 42*n + 59*n + 541*n.\nAnswer: 379*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*l - 17*j**2*m**2 - 86*j*l*m**2 - 448*j*l*m - m wrt m?\nAnswer: -34*j**2 - 172*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*(-3 + (-1036)\/20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2002341 is divided by 667369.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 440169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11834 divided by 4?\nAnswer: 5917\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.342 + 56.216. Round p to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Suppose -3*m - 1 = 2. What is the smallest value in 5, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 750429381?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u + 9 = 0. What is the units digit of (-6)\/(-3)*(177\/6 + u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 209619, 209618, 209589, 209526, 209423, 209274?\n\"Answer: -x**3 - 8*x**2 + 30*x + 209598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1676 and 24.\nAnswer: 10056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4\/12)*(-46)\/(-1564)*51?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39d1 + -3?\nAnswer: 39cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 6:57 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233095?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in -3.4, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzgjpzdzjzzjepjj. Give prob of picking 1 e, 1 g, and 2 p.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 55*t**3 + 4*t**2 - 4*t + 4. Let r(m) = 166*m**3 + 11*m**2 - 11*m + 11. Let c be -3*(-1)\/6 + ((-170)\/(-20) - 13). Determine c*r(d) + 11*b(d).\nAnswer: -59*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((b\/(b\/(b**1\/b)))\/b)\/b))\/b)\/(b\/(b*b\/b**(5\/2)*b))*(b**(-1))**(-50) assuming b is positive.\nAnswer: b**(103\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 16. Let q(c) = -c**3 + 4*c**2 + c - 2. Let d be q(4). Suppose f = 5*f - 16. Solve -s + 4*u - 13 = 1, -f*s - d*u + t = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(8\/(-40) + 42\/135). Let s be -9*(1\/j + 0). Is s at least 2\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/273*(-18)\/4.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 366*n**2 + 4*n - 47. Let y(j) = 3*j**3 - 732*j**2 + 8*j - 92. Let x(r) = 5*d(r) - 2*y(r). Find the second derivative of x(l) wrt l.\nAnswer: -6*l - 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9 - f + 8*f - 22. Suppose 0 = 34*k - 32*k. Suppose 45 = 2*s + 3*s + 5*a, k = a - 5. Let l(i) = 3*i - 6. What is s*n(m) - 9*l(m)?\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -4*s - 1\/4*s**4 + 0*s**3 + 1\/2*s**2 - 4. Let l(t) be the first derivative of w(t). Find the first derivative of l(u) wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1865896148 + 1865896148 - 4*h + h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -556612388, -1113224774, -1669837160, -2226449546, -2783061932, -3339674318?\n\"Answer: -556612386*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2 + 32*m + 14. Calculate the remainder when 147 is divided by d(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(6\/(-54))\/((-6)\/684).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -12*n - 6. Calculate l(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2, -15.\nAnswer: -15, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(76)*6 - (1 + sqrt(19) + sqrt(19) + 1)) - (2*sqrt(228)*-6)\/(sqrt(48)\/sqrt(4)*3))**2*-4.\nAnswer: -2752 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 42?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -15*p**3 - 276\/5 + 2757\/5*p - 1374*p**2 = 0.\nAnswer: -92, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + (sqrt(2736) - -1*(1 + sqrt(2736)) - (sqrt(2736)*-1*1 + sqrt(2736))) + 3)**2.\nAnswer: 192*sqrt(19) + 10956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.6, -2\/11, -6, -1008?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 465.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 39*k + 18. Let j = 25 + -11. Suppose 3*l + 40 + j = 0. Let z(g) = 11*g + 5. Let s(h) = l*z(h) + 5*t(h). Let x(y) = 2*y**2. What is x(s(m))?\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8413 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.33715 to two decimal places.\nAnswer: 13.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -30704 divided by -404\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -72880, -152 in increasing order.\nAnswer: -72880, -152, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**3\/3 + 12*d**2 + 2*d. Let z be t(13). Which is greater: z or -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11348, -22570, -33792?\nAnswer: -45014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/8 - -2)*(-4)\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 16.7669457.\nAnswer: -8.38347285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226\/(-18) + (-416)\/(-36) + -12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8065596\/(-261870)*40\/(-11)\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5*6\/(-120)*4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78382 is divided by 11168.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2.1. Let u(j) = 3*j**2 + 8*j - 5. Let h(l) = -l**2. Let i(w) = -2*h(w) - u(w). Let y be i(-9). Which is the closest to -3? (a) 0.3 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4. Let a(j) = -2*j + 7. Let y be a(0). Let f be (-2)\/y - (-9)\/7. Which is bigger: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 9*n - 64. Solve 2*h - n = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -19*l**3\/3 + 3145. Let o(f) = -3*f - 6. Determine o(a(m)).\nAnswer: 57*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-20)\/8))\/(3\/15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 0.4, 2786300 in decreasing order.\nAnswer: 2786300, 3, 0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292166660 is divided by 2894.\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 1516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-18*1 + 2). Let n = v - 79. Let u = n + 88. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 57. Let t = 7 - 7.4. Let i = -59 - -57. Which is the fourth smallest value? (a) 4 (b) z (c) i (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 181 + -108. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-1)\/(-36))\/(48\/(-1856))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -7\/128, 5, -0.4, 2\/7 in descending order.\nAnswer: 5, 2\/7, -7\/128, -1\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 321759 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350740 and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)\/y)**(-8)\/(y**(2\/3)*y*y)**47 assuming y is positive.\nAnswer: y**(-304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - -40. Let s(z) = z**3 + 7*z**2 + 6*z + 7. Does 8 divide s(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 11*k**4\/6 - 5115*k**2. Let r(u) = 6*u**2. Determine n(r(a)).\nAnswer: 264*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opo when three letters picked without replacement from {o: 11, p: 3}.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyjhby. What is prob of sequence yhbj?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j + 5 - 5*j - 11*j)*(-4 - 2 + 5).\nAnswer: 3*j - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266179, -532230, -798291, -1064368, -1330467?\nAnswer: -1596594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {r: 1, d: 2, k: 1, g: 2, e: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 142478412 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 12:50 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 2. Suppose -107 + 85 = -2*g. Let d(c) = -g*c**2 + 8 - q - 5. Let k(v) = 2*v. Give k(d(a)).\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 36040 divided by -4\nAnswer: -9010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(2 + -3) + 10. Suppose -4*b = -v, -8 + 43 = 5*m - 5*b. Suppose -2*i = i - m. Calculate the highest common factor of 12 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/2 + 1541\/268?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**2 - 123228760*t - 949082955696100 = 0. What is t?\nAnswer: -15403595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3114?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-4))\/(3\/(-4)). Let o(q) = -2 - 44*q + 28*q + f. Determine o(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + w - 4. Let x be (1\/(-2))\/(2\/12). Let m be k(x). Let v = m + 3. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56210*v = -56449*v + 6214 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4\/3 + 346*q**3 + 22534*q**2 - 23267902*q\/3 - 412778156 = 0. What is q?\nAnswer: -301, -51, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(21\/(-6) + 1)*(-608)\/(-7600) + 1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a - 111 - 49 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 12.9. Let x = a + 0.1. What is the nearest to 2\/3 in x, -0.4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*(sqrt(1575) - sqrt(63)))\/(2*(sqrt(9)*2 - sqrt(9))).\nAnswer: -4*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 + 4*v + 1. Let t be d(8). Let f = t - -1046\/11. Is f at least as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000113994674 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfw when three letters picked without replacement from {w: 1, z: 2, f: 4, j: 4}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 18, s: 2}. Give prob of sequence gss.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/20755 and 58\/186795?\nAnswer: 186795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -458 - -460. Solve -4*i - 12 = 5*s, -16 = 5*s + k*i - 0*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65\/4*q - 3\/2*q**2 + 11\/4.\nAnswer: -(q + 11)*(6*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3007 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 15545909771.\nAnswer: 15545909769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3395613 is divided by 868?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.102334 take away 1190559580?\nAnswer: -1190559580.102334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**3\/3 + 33*m**2\/2 + 75*m + 1083. Determine q(-30).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121)\/(sqrt(99)*-2))**2 - (5 + 1 + sqrt(891))) + -3)*1.\nAnswer: -9*sqrt(11) - 313\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-nine quarters of a second?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14544 and -4?\nAnswer: -58176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 264282 or 264273?\nAnswer: 264282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10.604 (b) 0.06 (c) 0.2 (d) 62 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 16, -6764, 2 in descending order.\nAnswer: 16, 10, 2, -6764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*i - 30 = 229*i + 69 + 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/57)\/c*c*c)\/(c\/(c*c*c\/(c*c**(2\/47))))*c*c**15\/c*c*c**(-35)*c)**49 assuming c is positive.\nAnswer: c**(-2101316\/2679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/5*(-5)\/2. Let g(z) = z**2 + 2*z - 3. Let b be g(y). Solve 5 = -2*o - p, 2*o + 1 - b = 2*p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + m - m + (2 - 3 + 0)*(-2*m**2 + 0 + 0) - m**2 + 0*m**2 - 2*m**2 + (0*m**2 + m**2 + 3*m**2)*(-28 - 1 - 7).\nAnswer: -143*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 8*n**4 - 510*n**3 - 2344*n**2 + 2166*n + 680 = 0?\nAnswer: -5, -1\/4, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (1 + -9)) + 49\/(-35).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 24*j - 17. Let l be g(-14). Let n = 266 + l. What are the prime factors of n?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2023780 and 1760.\nAnswer: 16190240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**2 + 9*k**2 + 1 - 1 as o + q*k**2 + r*k and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = k - 64. What is the tens digit of (-6)\/k*2 + 663\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 - 12)*2\/10. Which is the closest to 1? (a) q (b) 6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34201*f**3 - 10095*f wrt f.\nAnswer: 205206*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 11*j + 3. Let a be s(10). Let k(r) = r + 31. Calculate the lowest common multiple of 4 + (-40)\/(a - -3) and k(-13).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**3 - 1488*h**2 + 188800*h = 0. Calculate h.\nAnswer: -472, 0, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 19*i**5\/2 + i**4\/4 - i**3\/2 + 5*i**2\/2 - i. Suppose -4 + 24 = 10*z. Is c(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110010001110101 (base 2) to base 5\nAnswer: -1310332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**3 - 22*t**2 + 89*t - 12. Determine k(4).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 + 162*n**2 + 2380*n\/3.\nAnswer: 2*n*(n + 5)*(n + 238)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -129. Suppose 0 = -2*d + 3*o + f, 2*d + o = -d + 178. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 28\/5 (b) 1\/8 (c) 267 (d) -2\/5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = a + 5, 6 = -3*a + 4*k + 13. Let o be 7\/((-42)\/48)*a. Which is greater: o or -43?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90*a**2\/23 + 170010544*a\/23 + 7556024\/23.\nAnswer: 2*(a + 1889006)*(45*a + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 7 + 108*r**2 + 8 + 16473*r - 106*r**2 to the form j*r + d + b*r**2 and give j.\nAnswer: 16473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13153, 52571, 118263, 210229, 328469, 472983, 643771?\n\"Answer: 13137*r**2 + 7*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 188 - 184. Suppose 2*f = -2*f. Suppose f = -4*j + 16 + n. Sort 1, j, 0 in increasing order.\nAnswer: 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*q, -1 = 3*t - 2*q - 3. Suppose -4*h - 2*w = -20, -t*w + 0*w = -5*h + 34. What is the smallest common multiple of (1 + -3)*(-2 + -7) and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + 1. Let s be v(1). Suppose 5*f = 7 + s. What is the third smallest value in 1\/2, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t - 1. Let p be t + 8\/2 + -2. Solve -2*a = p - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2554 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 756654?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.272 + 0.028. What is k rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55271*w - 6 + 4 + 2.\nAnswer: 55271*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4924840727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(17) - sqrt(17)*2) + 3*sqrt(119)\/sqrt(7).\nAnswer: -1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -8612, 10, -0.06, -0.3?\nAnswer: -8612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136 + -132. Suppose 2*v - 4*o = 56, 0 = 4*v - s*o - 51 - 53. What is the greatest common divisor of 72 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 34492606.\nAnswer: -3449260.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-18)*(90\/36 + -13) + -4. Which is the closest to -6? (a) 3\/4 (b) -0.02 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 50159, 100317, 150475, 200633, 250791?\n\"Answer: 50158*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7193.247 years?\nAnswer: 7.193247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -4, 5, -2 in increasing order.\nAnswer: -4, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + -10100010011100?\nAnswer: -10100010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-4)\/(-18)*-1. Let x = -0.9 - -0.5. Which is the closest to -0.1? (a) 1 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 72 = -3*r, 51*r = 55*r - 0*u - 4*u - 36 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -10*g. Let k(z) be the first derivative of z + 0*z**2 + 1\/6*z**3 - 4. Let q(j) be the first derivative of k(j). Calculate p(q(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 - 2.74. What is b rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, 1 k, and 1 s when four letters picked without replacement from xxbssxbxxxxxjxkxbbsb.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -2b?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -53340, -106717, -160094?\n\"Answer: -53377*m + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/5 (b) -2\/25 (c) -2\/5 (d) 0.35 (e) 0.003\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/61105 or 0.066?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2646*i**3 - 63 + 63.\nAnswer: 2646*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.765 + -2.835. Sort -4, u, 4, 23.\nAnswer: -4, u, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000742882 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 3\/8*l**5 - 9\/4*l + 9\/8*l**4 - 21\/8*l**2 + 9\/8*l**3 = 0. Calculate l.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 18*z - 4. Determine v(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8 - (-91 - -106)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 - (-653345)\/(-70))\/(((-3)\/2)\/3). What is the highest common divisor of w and 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33439, -133754, -300945, -535012, -835955?\nAnswer: -1203774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1034 + 767. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*o**4 + 73*o**4 - 39*o**4 + (-1 - 4 - 3)*(-5*o**4 + 4*o**4 + 3*o**4).\nAnswer: 62*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2\/12999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3758054515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 1309 = 6*v. Let x = 241 + v. What is the remainder when 377 is divided by x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6 + 5*f**2 + 3*f**3 - 3*f**3 + f**3 - 5*f - 2*f**3. Give v(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 944759*k**4*l**2 - 8*k**4*l*r - 2*k**2*l**2 + k**2*l*r + 8451*k**2 - 2*k*l**2*r - k*l - 60*k*r wrt k.\nAnswer: 22674216*k*l**2 - 192*k*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3741 is divided by 412.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 10 = -0*i - 5*u, -86 = -43*i + 4*u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 1:41 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063.206 litres in millilitres?\nAnswer: 2063206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9533 - -9531. Suppose -3*u = -u. Which is the closest to u? (a) 1 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 14. Let y = -11 + 35. Suppose 5*u = -3*k + y, 0*k - 5*u = 2*k - 21. Sort 1, k, d in ascending order.\nAnswer: 1, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 + -6 + 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -20. Solve -9 = r*k - 6*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 + 4. Let z(r) = -r**2 + r - 1. Let s = 48 - 9. Let x = s + -34. Let j(a) = x*z(a) + q(a). Calculate j(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -81?\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 11:33 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(1 + 3))\/((-7)\/6482) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-140)*(-3 + 106\/2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 14*g**2 + 905*g + 11602. Calculate d(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5277957, 5, 4.\nAnswer: -5277957, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128 + -32 + 6 + -99.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110010010100 (base 2) in base 11?\nAnswer: -10719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 3:08 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (2 - (-6 + 3)). Find the second derivative of -w**2 - 4*w**c + w**2 - 5*w - 3*w**2 wrt w.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*z**3 - 89*z**3 + 373*z**3 - 90*z**3 - 87*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1100*d**4*s**3 - 2*d**2*s**3 - 2*s**3 - 43868*s**2 wrt d?\nAnswer: -4400*d**3*s**3 - 4*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(-17*w - 14*w - 32*w)*(-11 + 1 - 4) to the form g*w + h and give g.\nAnswer: 1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -15100.9.\nAnswer: 4530.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven halves of a day?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d - 2*t + 976 = 0, 4*d = t + 1967. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1196 = 1548*n - 1571*n. What is the greatest common divisor of 117 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -1) + -1 - 0. Let n = 2 + 0. Suppose -n*s = s. Is f greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + (-21)\/9)\/(-28). Let i(j) be the third derivative of 0*j**3 + 0*j**4 - 1\/35*j**7 + p*j**8 + 7*j**2 + 1\/60*j**6 + 0*j + 0*j**5 + 0. Factor i(c).\nAnswer: 2*c**3*(c - 1)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 3, -4*z + 377 - 359 = 2*t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w - w - w + (3*w + w - 3*w)*(-3 + 4 + 1) to the form q*w + k and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 14*y**2 + 8*y - 12. Let f be n(-13). Suppose 3*z = -u - 2*u + 66, -f = -2*u - 5*z. Solve 5*p - 2*a = u, -p + 3 = 2*p - 4*a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*(1 + sqrt(245))*2 + -2 + 3.\nAnswer: 2 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -118*o - 1. What are the prime factors of s(-1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + -54c?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92620?\nAnswer: 2, 5, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34110 + -22004. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -13. Let t = m + -4.026. Round t to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 + 0.09. What is the biggest value in 1\/4, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53029099 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/56 and -65\/288.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 10:51 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**4\/12 - 2*v + 110. Let p(k) = 8*k + 3 - 3. Give r(p(w)).\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f)**41 assuming f is positive.\nAnswer: f**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + (2 - (-1 - -11))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70688 = 42*t - 42*t - 32*t. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*r + 11 = -0, -2*a + 3 = -r. Suppose 48 = a*t - 0*t. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-3))**24)**18)**(6\/29) assuming f is positive.\nAnswer: f**(-7776\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3 + 143592*l**2 - 4403902 with respect to l.\nAnswer: -6*l**2 + 287184*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q - 6672 = -74*q. What is the remainder when 972 is divided by q?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7018*r**2 + 559*r - 36494225 wrt r.\nAnswer: 14036*r + 559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*b - 8 = 6, 2*x - 5*b = -14. Let h(j) = 10*j + 78. Let c be h(x). Put -3, 0, c in decreasing order.\nAnswer: c, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 9 - 189*x**2 - 5*x**2 - 9 + 24 in the form o*x + z + a*x**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -211 - -358. What is the common denominator of ((-14)\/i)\/(6\/(-98)) and 131\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l + 2045 - 5 = -83*l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3414, 2420, 762, -1560?\n\"Answer: -332*q**2 + 2*q + 3744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2068*j + 1583 wrt j.\nAnswer: 2068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 2*p. Let c(t) be the first derivative of -120*t**3 - 125*t**2\/2 + 10*t - 10. Let o(z) = c(z) + 25*y(z). Factor o(f).\nAnswer: -5*(7*f + 2)*(11*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + 0*i**2 - 4*i**2 + (-3*i - i + 3*i)*(1 - 5*i - 1).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5471, 5468, 5463, 5456, 5447, 5436, 5423?\n\"Answer: -d**2 + 5472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**2 - 2*l - 3. Let r(k) = 7*k**2 - 2*k - 3. What is -6*j(m) + 5*r(m)?\nAnswer: -m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 + 10*j**2 + 3*j + 2. Let r be i(-3). Let d be 10\/(-7) + r - (-40)\/28. Sort 0, -3, -1, d.\nAnswer: -3, -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 260 = -0*h. Is 2\/8*0 - h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 1)*-2 + -1. Let g = 7 - 1. Let u(d) = g*d**2 - 7*d**2 + 5*d**2 - 4 - d**2 + d**3. What is u(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1608*d + 11969. List the prime factors of i(19).\nAnswer: 101, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 6 - 22 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, m: 2, x: 2, i: 4}. What is prob of sequence imgg?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 227445 and 144255?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111928, -111938, -111948, -111958, -111968, -111978?\nAnswer: -111988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 18*t**2 + 34*t - 23. Calculate f(-12).\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-52) + 134\/26. Suppose -o*t = -v - 518, 4*v + v - 88 = -t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*u + 8, -5*u + 29 = x + 15. Let g be -5 - (24\/(-48) + (-26)\/x). Factor 2\/9*j**3 - 2\/9*j**g + 0 - 4\/9*j.\nAnswer: 2*j*(j - 2)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 + 102. Let q = -0.11 - -1.11. What is the third smallest value in 2\/7, q, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + s. Suppose s = 3*w - 2*w - 1. Let b(f) be the second derivative of f**3\/2 + f**2\/2 + f. Give b(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/7 + 265*s**3\/7 + 8883*s**2 + 980363*s\/7 + 918448\/7 = 0.\nAnswer: -137, -16, -1, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*x**3 + 217*x**3 - 105*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2406*j*l*o + 58*j*o + 189*l*o + 1234*l with respect to j.\nAnswer: -2406*l*o + 58*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-4)\/5)\/(14\/175))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.5, 0.16, -3\/40, -5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 118039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 218, 240, 262, 284?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/530 + (-25200)\/(-195888).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -246603, -246606, -246609, -246612?\n\"Answer: -3*i - 246600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -29*d - 1. Let k(c) = 15*c. Calculate 3*h(j) + 5*k(j).\nAnswer: -12*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**5 + 614*u**3 - 2*u - 27 wrt u?\nAnswer: 20*u**3 + 3684*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 2*i - 1. Calculate t(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385572733 and 4879.\nAnswer: 4879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3) - (-12)\/36. Let b be 322\/(-8) + q - (-1)\/4. Let t = b - -96. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.08 to one dp.\nAnswer: 15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 31 - 4 = 0. Suppose 0*f = -f + 56. What is the greatest common factor of f and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110000111 + -11?\nAnswer: 10110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -223.746491?\nAnswer: -224.146491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7083 + 208 + 8526 + 859)*(0 + 0 - 2*q).\nAnswer: -33352*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**3 + 433*c + 77*c**2 - 381*c + 31*c**2.\nAnswer: 4*c*(c + 13)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/((-24)\/147) + 0 and -1\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 81\/4 (c) 0.5 (d) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -490, 1, 334, 7 in decreasing order.\nAnswer: 334, 7, 1, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.45 - -0.05. Let r(q) = -q**3 - 2*q**2 + 3*q + 4. Let m be r(-3). Sort c, m, 0.2.\nAnswer: c, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**5\/5 - 104*h**4\/5 - 33068*h**3\/5 - 122304*h**2 = 0.\nAnswer: -65, -21, 0, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + f = 305, -3*v - 3*f - 325 = -8*v. Find the second derivative of -3*l**4 + v*l**4 - 100*l + 2*l - 74*l - 6*l wrt l.\nAnswer: 708*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.029304 and 2.\nAnswer: -0.058608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3171*j + 13345*j - 2727*j)*(-j - j + 0*j) - j**2 + 0*j**2 + 2*j**2.\nAnswer: -27577*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704279 is divided by 82?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153151 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531 is divided by 174?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/(-300))\/(1\/((-5)\/(-2))).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6797.22 from 924.\nAnswer: -5873.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -3*b**5\/100 - 3*b**4\/10 + b**3\/10 + 9*b**2\/5 - 3*b + 23. Suppose p(q) = 0. Calculate q.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 6*g**2 + 20*g + 11. Let l be z(9). Let d = -42 - l. Suppose -332 = -d*y + 148. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11081 + 11107. Solve 5*f + c*q - 25*q = -13, 0 = 3*f + 2*q + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 49792*i**2 + 389*i + 389. Let u(f) = -383*f**2 - 3*f - 3. Give -3*t(h) - 389*u(h).\nAnswer: -389*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 549\/5124*(-80)\/(-15)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*b = -23, -18*q + 44*q - 5*b = 21*q - 10*b + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + r + 24 - 2*r)*(r + 0*r + r)*(-9 + 0 - 2)*(-r + 4*r - r).\nAnswer: 44*r**3 - 264*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilometer in meters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -69174.4271 to the nearest 100.\nAnswer: -69200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.327929ml to litres.\nAnswer: 0.007327929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1260c60 (base 14) to base 7\nAnswer: -135060050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/((-1)\/(-4)). What is the second derivative of t*i - 16*i**4 - 5*i + 17*i**4 wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 7.3. Let p = 38.73 + -38.23. Sort 1\/9, m, p, 2\/3 in descending order.\nAnswer: 2\/3, p, 1\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 100*i**2 - 168*i + 61001 wrt i?\nAnswer: 200*i - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2192*f**3 - 675*f**3 + 27876*f**3 + 27788*f**3.\nAnswer: 52797*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(16\/46)*(-4)\/(-6). Which is smaller: -7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r\/(r*r\/r**(8\/3)*r))\/r)*r*r**(-22\/3)\/r*r\/r**24*((r*r\/r**(3\/7))\/r)\/r*r assuming r is positive.\nAnswer: r**(-199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.1. Let l = 0.11 - 24.11. Let r = l + 25. Which is the closest to r? (a) x (b) -1\/8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2025) + sqrt(2025)*-2)\/(4*sqrt(20)\/sqrt(4)) + 2.\nAnswer: -9*sqrt(5)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 24 = 4*x + 76, 5*u + 175 = 5*x. Which is greater: -21 or u?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280413 and 477729.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h + 3040 = 88. Suppose -4*d = o - 2*d - 3, 0 = -2*o - 5*d + 9. Let r be 48\/(-14)*(o - 18). Is h not equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 84273 = 8*j. Let p = j + -7070. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 2\/5 (c) 2 (d) -89\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -18*w - 295. Let m = 665 - 682. What is the remainder when 307 is divided by r(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 420 - 419.79. Let f = -0.5 - -0.8. Let s = f - x. Which is the closest to -0.1? (a) 0.5 (b) 1\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**7\/21 + p**4\/3 + 11*p**2. Find the second derivative of l(t) wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7749449.20700117 + -7749489.207. Let d = 40 + r. Round d to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25904880 divided by -45?\nAnswer: 575664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 9. Let w(v) be the third derivative of v**5\/12 + 69*v**2 + 2. Determine w(n(q)).\nAnswer: 20*q**4 - 180*q**2 + 405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*o - 4*v + 3, -5*v = -5*o + 15. Solve 2*d - d + o = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4899*p**3 - 3*p + 2. Let y be q(1). What is y rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000471746192 to 5 dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 5*t**2 - 2*t. Let r be p(2). Let s(v) be the third derivative of v**6\/120 - 7*v**5\/60 - 7*v**4\/24 + 11*v**3\/6 + 5*v**2. Is s(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 1:51 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r + 390 + 13*r - 391. Determine p(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*o + 56*o - 3161410 = -8*o. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1693287\/7 or -241899?\nAnswer: -1693287\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -202, -407, -612, -817, -1022, -1227?\n\"Answer: -205*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 5*z**2 - 16*z. What is the least common multiple of 30 and b(9)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 256*n - 24. Let t be g(6). Suppose -5*s - 2*s = -t. Does 35 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1100 - -11?\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-224)*(-24)\/18.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 189108 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/437)\/((-28)\/56)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 3*w**2 - 5 + 19*w + 6*w - 5*w - 15*w.\nAnswer: -3*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/2 - -3 - (-969)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 + m**2 + 1537*m**3 - 1717*m**3 + 2*m**4 + 3 to l*m**2 + o + u*m**4 + q*m**3 + v*m and give q.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-105 + 106 + (-1 - -11) + (-1 - 2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/(-22)*(-8)\/60\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 455804?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4\/m**(-5))**(3\/7) assuming m is positive.\nAnswer: m**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*435\/(-700) - (-6 + 2 - 11).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8061 and 1851265077?\nAnswer: 8061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**7\/42 - u**6\/30 - u**5\/20 + u**4\/12 + 11*u. Factor g(a).\nAnswer: a**2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 20. Let c(k) = 3*k - 39. Let b(z) = 4*c(z) + 9*g(z). Let l = -23 + 36. Calculate the remainder when b(17) is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.006 in -9, 4, -8\/7, -4, -2?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*t = -890*t + 448*t - 168 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(88))\/(sqrt(128)\/sqrt(4)) + (-1*sqrt(1584))**2 + 5 + (sqrt(11)*-1)**2.\nAnswer: sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 18*w + 105. Let d be c(-12). Which is greater: -114 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 12*u**2 + 9*u - 13. Let r = -8 + -3. Calculate the lowest common multiple of m(r) and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27596955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-84)\/420 - 72\/(-10). Let a(v) = y - 12*v + 0*v + 6*v**2 - 3*v**2 - 5*v**2. Calculate a(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 186317 (c) -0.2 (d) 0.4 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (-1)\/((-3 + 2)\/(-1)). Sort -5, 5, y.\nAnswer: -5, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 45. Suppose 0*w = 2*w + 4. Let b = w + 3. Solve 5*j + a*z - b = 0, -5*j + 2*z - 3 = 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.202 and 3?\nAnswer: 0.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 x when four letters picked without replacement from htxhxxxnxthhxttttx.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 0*d - 204. Calculate the greatest common factor of 51 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*1 + -4 + 4)*2.\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15513 less than -181821868?\nAnswer: -181837381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 4 (b) -0.7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 0*p - 30. What is the least common multiple of p and ((-16)\/(-6))\/(4\/6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -0.4, -2\/9 in descending order.\nAnswer: -2\/9, -0.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270597749 is divided by 125.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 7*i + 7*i - i. Let r(b) = b**2. Give w(r(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 216, 316, 380, 384, 304?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58861, 63737, 68613?\nAnswer: 73489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 11*w + 2. Determine u(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53708, 53711, 53714, 53717?\n\"Answer: 3*d + 53705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 0 - (3\/1 - 4). Solve 3*u = -9 - b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 346 + -305. Calculate the remainder when 126 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-3 + 37\/12). Let q be ((-24)\/28)\/((-2)\/14). Suppose -q = 3*u - u. What is the closest to -0.1 in -1\/8, u, h?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smmsmsmmmmm. What is prob of picking 2 m and 2 s?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630 + 201 = -38*m - 11 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 5*x - 15. Let k = -10 + 5.9. Let g = 3.6 + k. Put g, 0, x in descending order.\nAnswer: 0, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*p + 35200008, 4*z - 3*z = 2. What is p rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*i - 609 = -294*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3806329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 - 9*m**2 + 2*m**2 + (m + m - m)*(-2*m + 1 - 1) + 2 - 2 - 2*m**2)*(5*m**2 - 38*m**2 + 12*m**2).\nAnswer: 294*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 58*v + 3590. Determine i(-61).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37929 is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 7*i - 11*i)*((5 - 4 - 4)*(0 - 2 - 1) - 6 + 3 - 2 + (1 - 3 + 1)*(5 - 2 - 5) + 0 - 2 + 0).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -476 take away 2?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**0))**(-29)*h**(-2)*h**(1\/6)\/h assuming h is positive.\nAnswer: h**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/2461105 and -58\/57235?\nAnswer: 2461105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 + 3. Let y = 1918814.099871 - 1918813. Let v = w - y. Round v to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.221890593 rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b*b*b**(19\/5))\/b)\/b)\/((b*b**(1\/20))\/b))\/(b*b\/(b**(1\/19)*b))**(-12))**50 assuming b is positive.\nAnswer: b**(28725\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1, 15, 0.3, 0.4011, -5, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 433.0692 + -433. Round j to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f = -45*f + 1337. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/((-1)\/(-8)). Suppose 10*b + 26 = -4. What is the units digit of s\/((-4)\/(-72)*b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 4:41 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Which is greater: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**2 + 2*h**2 - 10*h**2)*(0*h - 4*h + 3*h) + 10 - 10 + 4*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**5\/m*m**(4\/11)*m*m**(-6)*m*m\/(m*m\/(m\/(m\/((m*m**(-1\/3))\/m)*m)*m)*m)*(m**7*m*m*m**(-2\/19))\/((m*(m\/m**1)\/m)\/m*m)**(-32\/7) assuming m is positive.\nAnswer: m**(4342\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -6)*(-2)\/(-1). Let q = -11 - 5. Let y(f) = f**3 + 16*f**2 - 2*f - 22. Let g be y(q). Is j < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 9:06 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.3 - -0.1. Let f = 2.8 - a. Let d = 18.93 - f. Round d to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**2 - s**2 + 8*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5441260369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3206262593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - 172*v - 3073. What is k(-15)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3565170 and 1260.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-4)*(-1 + -1). Let x be 12\/3 + -8 + -7. Let a = x - -8. Put -4, a, u in descending order.\nAnswer: a, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14986 = 47*q + 12918 for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 3*z**5\/4 - z**4\/4 + z**3\/3 + 7*z. Let b be r(1). Suppose -12 = -b*g + 11*g. Solve h = -g*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p + 246 = 30*p. Calculate the remainder when 161 is divided by p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3*x + 24, 23 = -t + 4*x - 3. Sort 4, t, 635 in increasing order.\nAnswer: t, 4, 635","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-322)\/171 + 1 + -3. Let f = y + 34\/9. Suppose -2*t + 4 = -2. Which is the third smallest value? (a) f (b) 0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 220, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30005851 and 3205?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -940 - -951. Solve 8 = -w*u - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10508232 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 482, 2065, 5858, 12965, 24490, 41537?\nAnswer: 65210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*d - 217*d = -3510 + 28420 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 3:53 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -71, 264, -3, -5 in decreasing order.\nAnswer: 264, 0, -3, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q + 26. Let j be p(-12). Let r be j\/(-11) - (-1 - (-10 - -9)). Let t = 5\/6 - 11\/18. What is the nearest to 4 in -0.5, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*d**3*h*m**3 + 3*d**3*h*m**2 - d**3*m**2 + 104*d**2*m**3 wrt h?\nAnswer: 29*d**3*m**3 + 3*d**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 3*b - 85. Suppose 3*u - 117 + 30 = 0. Let c = b + u. Calculate the greatest common factor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3536*x - 10733*x - 22207*x - 10*x**3.\nAnswer: -10*x**3 - 36476*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 13*l - 15. Let s be n(12). What is the units digit of (-14)\/(-21) - 28\/s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, g: 8}. Give prob of sequence jgjg.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(36\/(-28))\/((-24)\/(-420)*-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -1 - -4) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 14187*v - 10. Let h(j) = j - 5. What is -2*h(n) + w(n)?\nAnswer: 14185*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b**3 - 7*b**2 - 11*b. Let z be (-4 - -4) + 7 + -2. Let o be -5 + z\/(-5)*1. Let h(n) = 5*n**3 - 4*n**2 - 6*n. Give o*s(g) + 11*h(g).\nAnswer: g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9*u**3 - 11*u**2 - 4*u - 4. Let r(b) = 9*b**3 + 11*b**2 + 3*b + 3. Let a(h) = 3*f(h) + 4*r(h). Find the third derivative of a(l) wrt l.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33199610?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1103 - 1?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6121 in -2\/5, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_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: Let m = -21 + 40. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 9*u - 129. Suppose -u = -3*n + 20. Calculate the remainder when 271 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2231 in 20\/7, 2, 11, 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 o when four letters picked without replacement from {o: 4, y: 2, u: 3, b: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f + 14. Give l(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 3*v - 3*d + 990, d + 669 = 2*v. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/3? (a) 5\/8 (b) -0.4 (c) 3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - (sqrt(637) + ((2*sqrt(637) - sqrt(637))*-5 + sqrt(637) - sqrt(637))))**2 + sqrt(637))*6.\nAnswer: 42*sqrt(13) + 95550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -13 + -2 + (-27 + 14 - -17).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 7:39 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27035 + 41286. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a + 21 = 69 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 32*y + 4. Let m(s) = -s - 1. Give 3*m(v) + x(v).\nAnswer: 29*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14006760 and 117496.\nAnswer: 266128440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-59472)\/(-480))\/59*-1*(-5)\/(-3)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26810 (base 13) in base 15?\nAnswer: 1637e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (213\/71)\/((-84)\/35)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*b - 2401000, 1510949 = 3*o - 4*b + 70349. Round o to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -38*k**6 - k**5 + k**3 - 29*k**2 - 1. Let a(b) = b**6 + b**5 - b**3 + 1. Let f(x) = 2*a(x) + 2*u(x). Find the third derivative of f(q) wrt q.\nAnswer: -8880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-159)\/(37842\/(-1156))*21\/(-2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -184636394*v. Let t(x) = 3*x. What is g(t(l))?\nAnswer: -553909182*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525147?\nAnswer: 3, 7, 17, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 11*x = 13 + 64, 5*j + 3*x = 21. Let 30\/7*k**2 - 27\/7*k - 3\/7*k**3 + j = 0. Calculate k.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-3)*8\/(-32)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/8 - 3377613*k**2\/8 + 6755235*k\/8 - 3377619\/8.\nAnswer: -3*(k - 1)**2*(k + 1125873)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1357 = -7*c + 1364. Which is smaller: c or 3\/128?\nAnswer: 3\/128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.643284 microseconds?\nAnswer: 0.00000000017869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*(-36)\/477. Let g = -0.675 + 0.175. Let a = 4.709 + 0.291. Sort m, g, a in increasing order.\nAnswer: g, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/10 and 5\/992.\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 0\/(-7 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 11 + 18 + (2 + 2 - 5)*(-1 + 1 + 1))*((0*o + 0*o - o)*(-8 + 3 - 2) + (o - 2*o + 0*o)*(1 + 4 - 4)) to c*o + i and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9745 + -680. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 42 - 34. Let g = 38.04 - 37.04. Which is the closest to g? (a) -48 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**23*a\/(a*a**(2\/29)\/a) assuming a is positive.\nAnswer: a**(694\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*m + 0*m + 13*m to the form u*m + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 293277540 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-52)\/6)\/(0 - -140). Let z = 1\/30 - j. Let v(m) = m**2 + 3*m + 1. Let y be v(-2). Which is the closest to y? (a) z (b) 3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-11 - (-90)\/10). Sort 1, a, 15, 2 in ascending order.\nAnswer: a, 1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12832750 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**3 + 2*s + 1. Let l be f(-1). Suppose 4*t + 50 = 3*u, -u - 5*t - l = 11. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2123590 by 35.\nAnswer: 60674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 9. Let f be j(6). Suppose 14*c + 11 = 95. Suppose 38700000 = c*a - f*a. Round a to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 4.5. Let r = s + -0.6. What is the closest to -1 in r, 2\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 14. What is the highest common factor of 112 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -0.4 (c) 4 (d) 3 (e) -6 (f) 12.936\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r. Let a(n) = 912 + 13*n - 912. Calculate a(m(i)).\nAnswer: 52*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/8709 and 11\/30?\nAnswer: 87090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 780*q + 3139. Calculate x(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -82?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + -2271*(-38)\/3192?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**6\/40 + j**5\/2 - 17*j**4\/8 - 33*j**3 + j**2 + 80*j. Suppose v(a) = 0. What is a?\nAnswer: -11, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ccccccccccycccccccyc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 237 + 0?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -139*t**5\/10 + 3*t**4\/2 - 5*t**2\/2 - 2*t - 67. Find the third derivative of a(u) wrt u.\nAnswer: -1668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/42 and -17\/98.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4373319672 take away -103.35?\nAnswer: 101.9126680328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**5\/10 - 5*m**4\/3 + 19*m**3\/3 + 30*m**2 + 2*m + 317. Find b such that j(b) = 0.\nAnswer: -1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-8))\/(2\/96). Let b be (-85)\/3 + 0 + p\/36. Let a = -21 - b. Solve t = -t + a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 25.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -15. Suppose w*g + 4*l = g + 25, 0 = -3*g - l + 97. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21*64\/(-1440) - (1 + 5\/(-2)). Let f(r) be the second derivative of -13\/2*r**2 + l*r**6 - 18*r + 0*r**3 + 0 + 0*r**4 + 0*r**5. Differentiate f(x) wrt x.\nAnswer: 68*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 6*n**2 - 4*n - 4. Let z be i(5). Let q be 3 - (z + 2 - 2). Solve 14*d**5 - 4*d**4 - 32*d**3 - 14*d**2 - 5*d**4 - d**4 + 6*d**q = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.16, -761.5?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9790 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 186*q - 20. Let l(u) = 28*u - 3. Let g(t) = -20*l(t) + 3*y(t). Let s(m) = 2*m - 1004. Calculate s(g(x)).\nAnswer: -4*x - 1004","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from {d: 9, y: 1, o: 2, q: 3, a: 2, f: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/212245040 and 83\/238775670.\nAnswer: 1910205360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*l + 4*g, l - 2*l + 3*g - 1 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m + 7. Let q(u) = 10*u + 14. What is -9*j(r) + 4*q(r)?\nAnswer: -5*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11923546 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/(sqrt(567)*2) - (-6*sqrt(32) - sqrt(8))\/sqrt(4)) + 0)**2.\nAnswer: 55225\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -326 (base 11) in base 2?\nAnswer: -110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a + 5. Let b be y(1). Let v be 5 - (9 - 3) - (-3 - b). Suppose 3*p = -4*n + 8, 4*p - 3 = 4*n - 11. Solve p = 4*t - 19 - 1, -v*t + 6 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17096*c**3 - 1145428*c**2 + 8069044*c + 1888 = 0 for c.\nAnswer: -1\/4274, 8, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1089*x**2\/4 - 3432*x + 10816.\nAnswer: (33*x - 208)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**2\/2 + 3*k + 154. Let f = 8 - 4. Suppose -5*r = -5*x - 18 - 7, -20 = f*x - 3*r. What is m(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*v - 13*v**2 - 33*v + (2*v + 0*v + v)*(-v + 5*v - 3*v).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(-2 + -3 + sqrt(252)) - (1 + sqrt(252)*-1 - (1*sqrt(252) + 2)).\nAnswer: -24*sqrt(7) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/440 and -79\/88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -234 divided by -3\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpoopapapwoppppo. What is prob of sequence wo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 10 = 0, v + v = 5*n - 34. Calculate the least common multiple of n and ((-183)\/122)\/(6\/(-104)).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2734099408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-1 + -6 - -5) - 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11972609 and 5.\nAnswer: -59863045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 2*x - 308. Let w(i) = 150*i. Calculate n(w(r)).\nAnswer: 90000*r**2 + 300*r - 308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 11376?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 6. Determine r(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 720, 4 in ascending order.\nAnswer: -0.1, 4, 720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - r**2 + 5*r + 8. Suppose u - 1 = i - 8, 0 = -2*u - 8. Suppose 7 = i*z - 14. Is j(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9200?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3, -29 in descending order.\nAnswer: 5, 2, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34191\/2*j**2 + 3\/2*j**4 - 39458*j + 971\/3*j**3 + 23762\/3 = 0 for j.\nAnswer: -109, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.81305 - -3.\nAnswer: -3.81305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from {u: 2, p: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 0*w**2 + 0 + 1\/225*w**6 + 1\/6*w**4 + 1\/5*w**3 + 7\/150*w**5 + 8*w. Factor t(b).\nAnswer: 2*b*(b + 1)*(b + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, 3, 0, -3, 6, 0.417?\nAnswer: 0.417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6734 + -201911\/30. What is the common denominator of c and -46\/65?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -325 + 324.5. Let g = 0.01 + -1.01. Which is the nearest to g? (a) l (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/60 + 11*i**3\/15 - 23*i**2\/10 + 111*i - 4. Factor g(u).\nAnswer: (u - 1)*(u + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 + 3*b**5 - b**5 + (2*b**3 - b**3 - 3*b**3)*(b**2 + 0 + 0) - 3*b**5 - 9*b**4 + 9*b**4.\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8980.69 and 0.02.\nAnswer: 8980.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**4 - 27456*m**3 - 62874216*m**2 - 251167488*m - 251057712 = 0.\nAnswer: -4574, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -302*g**4 - 8352*g**3 - 10*g**2 + 67266*g - 1.\nAnswer: -7248*g - 50112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + d + 1. Let f(v) = -107*v**3 - 3*v**2 + 2*v - 22. Let p(h) = f(h) - 3*g(h). Is p(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 44*n - 32. What is the units digit of m(26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 9 + (-1 + -3 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - c**2 + 4*c**2)*(1 + 1 - 7)*(-3*c**2 + 1 + 0 + 4*c**2 + 42*c).\nAnswer: -5*c**4 - 210*c**3 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:00 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 19*r**2 + r + 2. Calculate the remainder when q(-1) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 473*i - 472. Calculate s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105 is divided by 99.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1311 or 0.1?\nAnswer: 1311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r - 2*h + 8, 4 = -2*h. Suppose -r*a + 39 = 12. Let m be (-6)\/(-10) + (-4)\/(-10). What is the greatest common factor of m and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3255534949 to the nearest integer?\nAnswer: 57057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a**3 - 3488*a**2 - 8272*a - 2752 = 0 for a.\nAnswer: -172, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 112*w - 13 - 7 + 37.\nAnswer: 112*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2 - 2. Let z(t) be the second derivative of -t**5\/20 + t**4\/3 - 2*t**2 + t. Determine z(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and 27.\nAnswer: 2.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(27\/135*5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -52, -0.2, 76?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/3 - 4\/12. Let l be -6*(-3 + (-10)\/i). Let v be ((-3)\/1)\/(l\/(-9)). Solve 0 = r + 2*c + 2*c - 21, c - v = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1824)\/532)\/(6\/42).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1785410896, 3570821777, 5356232644, 7141643491, 8927054312, 10712465101, 12497875852?\nAnswer: 14283286559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112877, -112886, -112895?\nAnswer: -112904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 - 5*p**3 + 0*p**3 + 6*p**3 + 0*p**3 - p**3 + (2*p**2 + p**2 - p**2)*(-p + 0 + 0) + 2*p**3 + 45*p**2 - 45*p**2)*(1 + 1 - 4).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71\/4 - -73\/4. Which is greater: o or -24?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2788 and 94333272?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.97 + -1.97. Which is the second smallest value? (a) h (b) -0.3 (c) 12\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*y = -6*w + 195, 0 = -5*w + y + 239. Suppose z = 2*k + 420, 9*k - 11*k - 2052 = -5*z. What is the highest common factor of z and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 4 + 4)*(2 - 3 + 2) - 95 + 95 + 24*u + 12 - 6*u - 12.\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.7 + -25. Let a = -2.7 + i. What is the third biggest value in 0.4, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96844438 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 202037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657204593.\nAnswer: 107, 2347, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-12 + 12 + (1 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11*26\/(-1716)*-2)\/((-2)\/(540\/(-2)))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 j when three letters picked without replacement from {m: 2, z: 7, j: 4}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q\/q**(-4\/7)*q)*q*(q**9*q)\/q)\/(q**(1\/3))**(-15) assuming q is positive.\nAnswer: q**(94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91605 is divided by 158?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64.979 - -0.021. Let y = c + -66.2. Round y to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-266 - 125*c + 266)*(1 - 1 - 2*c**2).\nAnswer: 250*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1*-4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s - 8. What is the tens digit of j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 + -11)\/((-2)\/(-2)). Let y be (3 + -7 + 3)*t. Is y >= 1\/82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34807391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -398, -403, -420, -455, -514, -603, -728, -895?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 215\/55 - -3. Let o = -235\/77 + b. Are o and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 5, i: 3, e: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from yqwqlqlqn?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1808 times -0.1?\nAnswer: -180.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6909 - -1015627\/147. Let n = -283\/147 - y. Find the common denominator of n and -103\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*w = 104*w + 4*s, 2*w - 5*s = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 32382.09 weeks?\nAnswer: 19584688032000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i. Let l(o) be the first derivative of -4*o**2 - 38. Let k(q) = -2*l(q) - 5*r(q). Let d(j) = j - 16. Determine d(k(b)).\nAnswer: b - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 292066?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 5856 = -18*u. Let n = u + 678. What is the smallest value in 5, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) 0.4 (b) -0.295 (c) 6\/11 (d) 5 (e) 0.01 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 16*i - 10*i + 1.\nAnswer: -26*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28192286, 56384572, 84576858, 112769144, 140961430, 169153716?\n\"Answer: 28192286*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10231223210 (base 4) to base 3\nAnswer: -2022210001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67633 or -67628?\nAnswer: -67628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28839, -115367, -259585, -461493, -721091, -1038379, -1413357?\n\"Answer: -28845*j**2 + 7*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4192753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100022 (base 3) in base 5?\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -2, -2\/13, 11, 1.7 in descending order.\nAnswer: 11, 1.7, -2\/13, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by 14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12.4? (a) 0 (b) 0.5 (c) 35.95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -404412*r**3 - r**2 - 29225*r + 3.\nAnswer: -2426472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.26875203 and 0.5?\nAnswer: 0.134376015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19901 + 99507\/5. Put n, -12, 9 in decreasing order.\nAnswer: 9, n, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*h**3 - 155*h**3 + 88*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3283 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3512 is divided by 1735.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 7 = g. Let d(s) = 0 + 2 - s - 4 - 3. Calculate d(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 11741.\nAnswer: -58705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148375.\nAnswer: 5, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1754396146?\nAnswer: 2, 683, 827, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 90409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -9, 1\/6, 4\/5, -131, -0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 30492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22\/9 + -1\/9. Let i = -28 - -29. Which is smaller: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 30*r + 6. Suppose 4*k = 15*k - 561. Let b be k + -50 - 4\/(0 - 1). List the prime factors of j(b).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011010001010 (base 2) to base 8.\nAnswer: -13212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -11 - 3\/2*p**2 - 20*p. Let g be u(-8). Solve 5*z - 2*n = 9 + g, 10 = 4*z - 2*n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5967 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o - 5*n - 12919, 5*o - 5*n = 21525. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 4:11 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 2*f**2 + 5*f - 4. Suppose -2*c + z + 8 = 0, c = 2*c + 5*z + 7. Let m be x(c). Suppose 0 = 2*s - m - 6. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**3 + 2*n**2 + 3*n - 3. Let j(z) = -14*z**2 - 11*z**3 - 14*z**2 - 7 + 50*z**2 - 17*z**2 + 7*z + 0. Calculate -3*j(s) + 7*t(s).\nAnswer: -2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 - -30.07. Let w = v - 25. Put w, 0.2, 0.5 in decreasing order.\nAnswer: w, 0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107550 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in -1, 6, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12541 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1148*c - 639 = -1157*c. Is 75 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + s - 20 = 0, 0 = 3*z - 0*z - 5*s + 15. Let j be (-1 + -35 + 0)*76\/(-114). Let v = j + z. Calculate the remainder when 35 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 455 + -1821\/4. Let q be (-2)\/4 - 4\/(-8). Let v = q - 4. What is the closest to -1\/3 in v, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -130 - 2135634?\nAnswer: -2135764","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 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 3:48 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36.6564, 3, -1.9 in decreasing order.\nAnswer: 3, -1.9, -36.6564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1014+-3\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 9, -2 in decreasing order.\nAnswer: 9, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 29*h + 253. Let s(z) = 27*z + 254. Give -5*l(f) + 6*s(f).\nAnswer: 17*f + 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 7165*s - 35950.\nAnswer: 5*(s - 1438)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2904316 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36496 = -1352*w - 879*w + 48282 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = 3*q. Let y be q\/4 + 44\/8. Solve -w + y = -2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = j - 18, 0 = 4*j - f + 16 - 88. Suppose 0*l = -l + j. Suppose -4*k = -y - 124, 3*k = -y + 118 - l. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**3 + 308*a**3 - 288*a**3 - 5 - 163*a + 2.\nAnswer: a**3 - 163*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14943907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 566 + -545. Solve 19*p - 10 = q*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31766413 to the power of 1\/2, to the nearest integer?\nAnswer: 5636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*i - 2184, 2*u = -2*i - 0*u + 2204. Find the third derivative of -12*c**2 - 29*c**4 + i*c**3 - 1097*c**3 wrt c.\nAnswer: -696*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i - 256 = -6. Let h = 178.98 + -179. Which is the smallest value? (a) h (b) 0.1 (c) 4 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 divided by -1?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14340\/1195*(-4)\/(256\/3)?\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*x + 8993294 = 191*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4974 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y - 13*y + 3*y. Let x(u) = 4*u + 2. Let d(t) = t**2 + 2*t + 1. Let j(g) = 2*d(g) - x(g). Calculate r(j(c)).\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rggr when four letters picked without replacement from aarargaaaag.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v - 19*v - 165 = 0. Suppose 0 = k - 1, -v*s - 5*k + 2103 + 2847 = 0. List the prime factors of s.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -242276, -484879, -727482?\n\"Answer: -242603*v + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**3 + 12*h**2 - 12*h**2)*(-3*h + 5*h - 4*h + (3 - 4 + 3)*(0*h + 2*h - 3*h)).\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 9:08 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/88 in 0.023, 1\/4, -2\/19, -22?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/(-14))\/((-1)\/(-389)). Let v = b - 184. Which is greater: 12 or v?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26*6\/8*(-8)\/(-4). Let b = -37 + y. Let w(c) = -8*c - 2. Calculate w(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - x**2 - x**2 + (2354*x + 5818 - 5818)*((2 + 0 - 1)*(2*x - 4*x + x) - 3*x + 0*x + x + 3 + 2*x - 3).\nAnswer: -2353*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/5 - 138*m**2\/5 + 272*m\/5 = 0. What is m?\nAnswer: 0, 2, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 40 + (0 - 10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Suppose 0 = 3*h - 2*r + 4 - 13, -m*r = -h + 10. Is h <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 16 = b - 0*b, 3*c - 3*b = -21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(7) + 3 + 3 + sqrt(7).\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4043*b**2*x**2*z - 3*b*x**2 - 2*b*x*z - 2*b*z - 6*x**2*z wrt b.\nAnswer: 8086*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37, -280, -943, -2236, -4369, -7552?\n\"Answer: -35*y**3 + 2*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**3 - 16333*b**2 - 6534*b = 0.\nAnswer: -2\/5, 0, 3267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**4 + 706*p**3 - 126013*p**2 + 495612*p - 492804 = 0.\nAnswer: 2, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose 3*z = -0*c + c - 4, 8 = 4*z + r*c. Is 2\/9 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 2*a - 18. What is the hundreds digit of 173 + 2 + 1 + a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o - 28. What is the lowest common multiple of q(22) and (-105)\/((9\/(-12))\/(1\/2))?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-72) + (-1)\/(-4). Suppose g = -n + 113 - 109. Suppose -10 = -4*s - 2. Solve n*u = 2*p + 12, -s*p + 3*p + 2*u - 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56297, -225202, -506717, -900842, -1407577, -2026922?\n\"Answer: -56305*h**2 + 10*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-1*(-2)\/1). Suppose -4*i + n*i + 16 = 0. What is the remainder when i is divided by 2 + (0 - (-2 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/241 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5 = 0, z + 8*d = 3*d + 58. Let w = z + -21. What is the remainder when 59 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slslsllllslllslslll. Give prob of sequence sls.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2302244?\nAnswer: 2, 7, 82223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aazzffaazazdffd. Give prob of sequence zzdd.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Let a = 401 - 368. Does 11 divide 3\/27*d*a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 - 6)*(4*a - 4*a + a)*(-1 + 3 - 1).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200110211 - -12?\nAnswer: 200111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1233 is divided by 76.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4535873, 4535871, 4535869?\nAnswer: 4535867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -2 - (2 + (-6 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -u - 128, 0 = 2*n - 0*u + 5*u - 74. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 2*z - 1. Let m be w(3). Suppose m*i - 7*i + 30 = 0. Calculate the remainder when 22 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 4. Suppose 3*x + 1 = y*x. Which is greater: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*n**2 - 33*n + 287*n + 99 + 8*n + 113*n.\nAnswer: -3*(4*n + 1)*(7*n - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -47*u - 2. What are the prime factors of q(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89b4 (base 13) in base 6?\nAnswer: -225032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0 + (2 - 1 - 3)*(-4 - 2 - 6))*(6*b + 2*b - 3*b + (0*b + 0*b - b)*(-1 + 3 + 0) + 2*b + 0*b - b).\nAnswer: 92*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/65 + ((-80)\/1950)\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y**1*y)\/y)\/y)**34\/((y*y**(-1\/5))\/((y\/(y*y*y*y**(1\/6)))\/y)))\/(y**(-11)\/(y\/y**11))**(-8\/3) assuming y is positive.\nAnswer: y**(821\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46121 is divided by 2712.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 491 divide 297546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 87 = 139. Is 34 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 8:04 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -63 + 5*j - 23*j + 184 - 58 - 62. Let f(u) = 1. Calculate -2*f(q) + r(q).\nAnswer: -18*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v - 44. Let o(a) = 2*a + 30. What is -5*l(t) - 7*o(t)?\nAnswer: t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 55? (a) -0.4 (b) 5 (c) 0.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-27 - (-19 + 3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*r**3 + 16810 + 415\/2*r**2 - 8815*r.\nAnswer: -5*(r - 82)**2*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/((-11007)\/2446)*(-6)\/(-5).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-9) - -1)\/((-30)\/(-45))*78\/884.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.078425721 rounded to three decimal places?\nAnswer: -4.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*o - 33, -20 = -5*n + 3*o + 3. Let s = n + -10. Let h be s\/(-2)*(-4)\/6. What is the biggest value in -2\/3, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Let v be (p\/(8\/(-3)))\/(-3). Let m = 1.1 + -1.1. What is the closest to 0 in 0.5, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 5*d**2 - 5*d + 4. Let v be q(-4). Let u(s) = -6*s + 8 + s**2 + 0*s**2 + 3. List the prime factors of u(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -22. Find the third derivative of j**2 - 11*j**2 - 5*j**v - 2*j**2 wrt j.\nAnswer: -120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -23*d + 98, 0 = 182*o - 181*o + 25 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 724 divided by -1.\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 326200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*u + 198 - 51 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 9) in base 14?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3975855 a multiple of 2790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500 = 4*x - 3*m - 6, 4*m = 3*x + 374. Let s = 132 + x. Suppose s*y = 2360 + 290. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5346833 (base 9) to base 11.\nAnswer: -1688005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 14) to base 3\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 - 100. What is the greatest common factor of s and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44\/1071 + 10\/63. What is the third smallest value in -5, f, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -1, -3, -9?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((1 + sqrt(300) - sqrt(300)) + -4)*4)**2*-1.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbb when three letters picked without replacement from {t: 1, b: 2, g: 2, y: 4}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - 244871*l - 244853*l + 489720*l.\nAnswer: -l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 128*b + 154*b - 223*b + (-6 + 2*b + 6)*(4 + 1 - 2) in the form c + r*b and give r.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*j - 343 = -54 + 219 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6))**(3\/16) assuming s is positive.\nAnswer: s**(-9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + 1*sqrt(78))*-3 - -4*(sqrt(78) + (-1*sqrt(78) - sqrt(78))))\/(-2*sqrt(6)*-1 + (-1*sqrt(6) - sqrt(6))*-4).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -19313*s - 136476. Give m(-7).\nAnswer: -1285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 6. Let d = -11 + 20. Let x = 2 - d. What is the units digit of q(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1253 - -1257. Let c(o) = 12*o**2 + 4*o. Let k(p) = p. What is r*k(z) - c(z)?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3391685*0.5\nAnswer: -1695842.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*49\/2940*156.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 12*p = -4992. List the prime factors of p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*1097223.\nAnswer: -5486115","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 12247326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Express -337*j + 441*j + 608*j + 1 + 207*j + 2*j**2 + 390*j as z*j + k*j**2 + v and give z.\nAnswer: 1309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64.4, 0.074, 40 in increasing order.\nAnswer: 0.074, 40, 64.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305032 (base 9) in base 12?\nAnswer: 2a4232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422000 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36198806 a multiple of 1097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11645784 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 11:35 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21366\/22 + 4\/(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329 - 2*o + 329.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6472 - -8770. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, e: 2}. What is prob of sequence ee?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59.5 and 163079.\nAnswer: -9703200.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 7*k**2 + 4*k - 8. Let b be h(-6). Let c be ((-4)\/1)\/(-3 + b). Is (c\/8)\/(2\/(-28)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 + 2*q**5 - q**4 + (-5*q + q + 3*q)*(3*q**4 + q**4 - 2*q**4) + 24*q**5 - 58*q**5 - 5*q**5.\nAnswer: -39*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 1. Let v(n) = 3*n - 6. Let g(q) = 6*k(q) - v(q). Let c(z) be the third derivative of z**4\/12 - 2*z**2. Determine g(c(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = k + 1. Suppose 0*g - 68 = -g - k*n, n = 4. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5 - 80*j**4 + 64*j**3 + 232*j**2 - 68*j - 152 = 0. What is j?\nAnswer: -1, 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -205893\/479 or -430?\nAnswer: -205893\/479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 6*a**2 + 5*a + 6. Let p be i(-4). Suppose -4*c = -2 - 10, 0 = -2*r - 5*c + 1005. Suppose 23*y - p*y - r = 0. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5316856, 5316859, 5316862, 5316865?\n\"Answer: 3*d + 5316853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*i - 84, 6*b - 2*b - i - 84 = 0. Suppose 0 = 4*h - 7*h + b. Suppose 0 = j - 0 - h. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3213806 - 1267080 = -146*z. What are the prime factors of z?\nAnswer: 47, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*b + 221*b = -393*b - 3500 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 224 - 719\/3. Let f(m) = -16*m - 68. Find the common denominator of f(-5) and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -128*b**2*f*k - 11617*b**2*f + 2*b**2 + 25*b*f*k - b*f + b - 95*f - 2 wrt b?\nAnswer: -256*f*k - 23234*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 18*b + 372, -13209*d + 39 = -13208*d - 2*b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 31, 6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -0*m + m. Suppose -3*g = 39 + 63. Let x = 45 + g. Calculate the remainder when m is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 7*u**2 + 12*u + 24. Let n be z(-4). Calculate the highest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3369, 6767, 10165?\n\"Answer: 3398*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1308 = 1293. Let i be 5*3\/(3\/5). Calculate the greatest common divisor of i and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*u**2 - 36*u - 685 + 683 + 47*u)*(4*u**2 - 2*u**2 - 4*u**2) to l + s*u**4 + r*u**2 + v*u + a*u**3 and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(13) + sqrt(13)*3 + sqrt(13) + 2)*-5.\nAnswer: -25*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/47)*x*x\/(x*x\/(x*x\/(x**(4\/19)\/x)*x)))**(-20) assuming x is positive.\nAnswer: x**(-68440\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 9*a + 4. Let q be b(-9). Let o(x) be the third derivative of 0*x**q + 0 + 0*x + 1\/30*x**5 + 0*x**3 - x**2. Let f(w) = 4*w. Determine f(o(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - -3)*(-17)\/(-2). Let p = f - 46. Suppose p*v - 4*t = 454, -2*v - 2*t = 2*v - 384. What are the prime factors of v?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 367*i**3 - 34*i**2 + 20. Let p(x) = -122*x**3 + 12*x**2 - 7. Give -17*p(u) - 6*s(u).\nAnswer: -128*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/62029225 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b**3 - 35*b**2 - 29*b + 41. Let a(p) = -4*p**3 - 18*p**2 - 15*p + 20. Let l(z) = 5*a(z) - 3*j(z). What is l(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21603 + 0.7?\nAnswer: 21603.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*o - 3*o**2 - 13*o - o**2 + 0*o**2 - 2*o**2 + (-4*o + 4*o - o)*(-o - 2 + 2) - 5*o - 2*o**2 + 5*o.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) 1 (c) -936 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 180 = -432. Let i = z - 30. Solve i = -3*q - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 65 = -16. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1930187831?\nAnswer: 11, 13, 13497817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35125741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -3, -2, 0, 2, -4, -128 in increasing order.\nAnswer: -128, -4, -3, -2, 0, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -738*s - 290 wrt s?\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**4\/12 - q**3\/3 - 2*q**2. Let v be k(-5). Suppose -s - v = -2*s. What is the lowest common multiple of 2 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-1 + 2 - 1). Let t(g) = -g**3 + 17*g**2 + 19*g + 36. Let v be t(18). Suppose -18*o + v = -144. What is the smallest value in a, o, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -2*d + 6, 464*d - 463*d + 12*c - 8 = 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50146, 100298, 150464, 200650, 250862, 301106, 351388?\n\"Answer: p**3 + p**2 + 50142*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.55 + -6.45. Which is the third biggest value? (a) 2\/11 (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -53, -84, -135, -212, -321?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Let q = -12 + 27. Calculate the highest common factor of s and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164, 154, 130, 86, 16?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2942672 (base 10) to base 12.\nAnswer: b9ab28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 604 in -2, -3, 13, -37?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 + 160. Let j be -2 - (h\/52 - 4). Is 0 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13707 - 0.03707. What is the smallest value in c, -1, -1.695?\nAnswer: -1.695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12632805 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 16 = -4*o + 2*f, -1 = f. Let i = o - -11. Solve 0 = -4*v - 0*x - 5*x - 4, -x = i*v + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20812903 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*m = 68, 3*g = 2*g + m + 40. What is the greatest common divisor of 518 and g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1722, 6897, 15528, 27615, 43158?\n\"Answer: 1728*v**2 - 9*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 92. Let y(x) = 12. Let i(h) = -k(h) + 8*y(h). Let q = 1 - -3. Let n(v) = 7 - q*v + 5 + 4*v - v. Calculate -12*i(r) + 4*n(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2877 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -1, 3248, 1, -29 in increasing order.\nAnswer: -29, -1, 1, 3, 5, 3248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 239039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*t - 2*t. Suppose -3*n + t*n = 31. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 51756.88ml?\nAnswer: 51.75688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286415, 286477, 286539, 286601, 286663, 286725?\nAnswer: 286787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3176 = -78*q - 425*q - 2357 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert ee6fb (base 16) to base 12.\nAnswer: 3b1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06587 + -0.23413. Let h = 42.7 + -6.7. Let a = 16 - h. What is the nearest to 1\/2 in a, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5782*r - 5771*r = 55. Which is the third biggest value? (a) -1\/23 (b) r (c) -3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.18?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4860 divide 157707000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -22897*y + 206069. Determine g(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 60. Let k be (-30)\/a - (-2)\/14. Let b(q) = 140*q + 6*q**2 - 140*q + k. Determine b(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(20\/(-24))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 + 4 + 0 - 10*s**2 - 4.\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 smaller than -100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13531 - 518 + 3682 = 288*g - 23*g for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53 and 27136.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1\/14300 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*u**3 + 22*u**3 - 19*u**3.\nAnswer: -51*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + (sqrt(5) - (sqrt(5) + (sqrt(2160)\/sqrt(12))**2)).\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - ((-1617)\/(-9))\/(7310\/774).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55.54 + -56. Let v = 0.46 + d. Let f = 16 - 97\/6. Which is the biggest value? (a) v (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b - 13. Let x(m) = 20*m**2 - 5*m + 5. Let z(c) = -11*c**2 + 3*c - 3. Let q(o) = 3*x(o) + 5*z(o). Determine y(q(n)).\nAnswer: -10*n**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 35*m**4 + 17*m**3 - 2*m**2 - 3994*m + 6. Let z(u) = u**3 - 4*u + 1. Let r(c) = -g(c) + 6*z(c). Find the second derivative of r(k) wrt k.\nAnswer: -420*k**2 - 66*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 661 + 13?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1023400 by 5.\nAnswer: 204680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034850439 rounded to five dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -77 and 0.6.\nAnswer: -46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.8 + 21.8000201. What is g rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 4. Let p be h(-4). Suppose 0 = -p*t + t - 12. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -6\/47 (c) -3\/2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 152267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6023573*w**2 + 3022*w - 376 wrt w.\nAnswer: -12047146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -17\/5, 4 in descending order.\nAnswer: 4, -2\/9, -17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 105280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101165 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**3\/6 + 14*w**2 - 39*w. Let u be g(-7). Suppose -3 = 2*q - u. What is the remainder when 13 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.144413 days to weeks.\nAnswer: 8.592059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p - 2 - 4*p - 8. Let g be q(8). Which is the nearest to 0.1? (a) -1 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4072143 divided by 1357381?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 19. Suppose 0 = 4*s - 3*z + 35, -5*s - 2*z - 26 = 35. Which is greater: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 8830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 12*p + 44 = 0. Factor 5*u**3 + 9*u**3 + 14*u**2 + p*u + 0*u**3 - 4 - 46*u**2.\nAnswer: 2*(u - 1)**2*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, l: 1, o: 1, a: 1, b: 2}. Give prob of picking 2 b and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 18*m**2 + 17*m + 3. Let z be n(-17). Solve 22 = 5*a - z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 269, 439, 641, 887, 1189?\nAnswer: 1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2534 + 2557 - (73 + 1)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17)\/(-102) + 2581\/(-6). Which is greater: n or -859\/2?\nAnswer: -859\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 4. Let s be h(8). Suppose -3*r - 12 = -s*a - 0*r, 2*r = -4*a + 32. Let o(j) = -2 + 3*j - 7 + 3*j - j**2. Give o(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(1\/4))\/o**3)\/(o*o*o**(-2\/5)*o*o*o**(-1\/2)*o))**4 assuming o is positive.\nAnswer: o**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 8*h**3 - h**2 + h**3 - 3*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - 1.7. Let w(g) = g**3 - 5*g**2 - g + 3. Let k be w(5). Let p be 1\/2*k\/1. Which is the third biggest value? (a) p (b) f (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - t - t)*(0*t + 0*t + t**2) + 4*t**3 - 3*t**3 + 0*t**3 - 99557*t**3 + 99517*t**3 + 44 - 16 in the form x*t + y*t**3 + f*t**2 + b and give y.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -125*s + 119*s + 15 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 4343*i.\nAnswer: -4343*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -14 + (7 - 4) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(363\/(-6))*1)\/((-317)\/24409).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 606, -1, 2\/7, 52, -8.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 0.5 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -119, -256, -575, -1166, -2119?\n\"Answer: -15*p**3 - p**2 - 29*p - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-39) + 174\/(-221). Is a greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 194, 205, 216?\n\"Answer: 11*i + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*d + 5*i, i - 2 = -7. Let m = 5 + d. Let u = -0.04 - -1.04. What is the closest to m in u, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 divided by -2?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1945 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + 9 - (5 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 264.9759g?\nAnswer: 264975900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7189081l to millilitres.\nAnswer: 718.9081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -1. Let v be (-1)\/4*(y - -8). Suppose v = -z, 7*i - 1060 = 3*i + 3*z. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.32? (a) 0.0571 (b) -5 (c) 454\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i - i + 0*i)*(1 + 5 - 5)*(3 - i - 3 + (3*i - 2*i - 2*i)*(-2 - 4 + 4)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a - 3*a - 3*a)*(-325 - 39*a + 325)*(1 - 3 + 0) + (-13*a**2 + 0*a**2 + 2*a**2)*(1 - 6 + 1) to the form c*a + f + q*a**2 and give q.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 693388131 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11660 or -11659?\nAnswer: -11660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2506.1 + 2385. Let u = -502 - -390. Let y = q - u. Round y to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61161547 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/19 - 0) + (-547526)\/34447\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127431 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**5\/4 + 81*f**4 + 504*f**3 + 2037*f**2\/2 + 3411*f\/4 + 513\/2 = 0. Calculate f.\nAnswer: -3, -1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21363 + 21534. Solve -5*c = 4*v + 15, 168*v - r*v - 11 = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-11) + 9 + -7. Which is the nearest to -2\/7? (a) -1\/2 (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1531502 (base 7) in base 13?\nAnswer: -74468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -1\/3*u**3 + 1\/3*u**4 - 1\/30*u**6 - 3\/2*u**2 + 8*u + 1\/10*u**5 + 0. Solve m(v) = 0 for v.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34576*a**5 - 9*a**3 + 6818601*a**2 wrt a.\nAnswer: -2074560*a**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4678 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2748 - 276 = -12*q. Let n = 257 - q. Solve -31*h = -36*h - n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-9))**(-4\/27)\/(t**30*t\/t**(6\/13)) assuming t is positive.\nAnswer: t**(-11291\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -49, -98, -147, -196, -245, -294?\n\"Answer: -49*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s - 6. Suppose -3*n = -8*n + 20. Suppose -1 = p - 3. Let h(b) = -2*b + p*b - 1 + 6 - n*b. Give -7*h(o) - 6*k(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.072 + -71.956. Let p = -93 - t. Let u = p + -0.048. Which is the second smallest value? (a) 0.4 (b) -5 (c) u (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.052, 0.3, -2\/13 in descending order.\nAnswer: 0.3, 0.052, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-6))\/((4\/6)\/((-392)\/(-42))). Let b(g) = 4*g + 1. Let o(x) = 3*x + 1. Determine f*b(v) - 6*o(v).\nAnswer: 10*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6\/(n*n**(3\/2)*n))**(-28)*(n**(2\/11)\/n*n\/(n*n**(-2\/15)\/n))\/((n*n\/((n*n**(-1\/6))\/n*n)*n)\/n**1) assuming n is positive.\nAnswer: n**(-23381\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -863*b + 1. Let d be n(-2). Suppose -12*m = 12009 - 2745. Let p = m + d. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x - 85. Suppose 0 = 2*y - 2*k - 4, -2*k - x = -4*y - 7*k. Solve 4 = y*c - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (140\/(-50))\/(62\/(-300) + 11\/55) and 30.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 32 - 15 - 11 - 6.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -996 by -3.\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*s - 7*g**2 + 9*g*s**3 - 230*g - 2080*s**3 + 2*s**2 - 11 wrt g.\nAnswer: 2*g*s - 14*g + 9*s**3 - 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r + 373*r**2 + 159*r**2 + 274*r**2 - 742*r**2 + 215*r**2 + 1 to the form b*r + g*r**2 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1847870*y**2 + 923932*y**2 + 923933*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 21*y**2 + 3*y - 162. Give f(0).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/((-162)\/12) - (-227)\/3. Let w(v) = -u*v**2 - 71*v**2 + 144*v**2. Let x(d) = 15*d. Calculate x(w(p)).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**5 - 32*h**2*x + 40*h*x wrt h.\nAnswer: -20*h**3 - 64*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -21 + 2 - (8 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 535043569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 3*u + 2 - 3*u)*(-207*u - 103*u + 628*u) - 3 + 3*u**3 + 3.\nAnswer: 639*u**3 + 636*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**2 + 22*k + 798. Let c(f) = 3*f**2 - 19*f - 797. Let m(i) = -5*c(i) - 4*r(i). Is m(0) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/123497 and 99\/3323192.\nAnswer: 36555112","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 1664*o + 346112.\nAnswer: 2*(o + 416)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -2*(-296)\/(-144).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/7)\/((-912)\/6384).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96687819 - 96687775.200187. Let b = g + -43.8. What is b rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20505382 is divided by 238?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -9 - (-7 + (4 - 3) + 18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.251475 + -36243.\nAnswer: -36242.748525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 0*j - 12 + 2*j**2 + 16.\nAnswer: 2*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 904723 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(6)*-1)*-2*-6)\/(6*(sqrt(8) + sqrt(8) + sqrt(32)\/sqrt(144))) + -4.\nAnswer: -4 - 6*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15*(0 + (-6)\/(-15)). Suppose -3*i - 3*s = 6, -w*s = -5*i - s - 60. Let a = i + 17. Calculate the lowest common multiple of a and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -1399941.\nAnswer: 14\/1399941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -5) + (6 - (9 + 1)). Is s*((-3)\/(-15))\/(10\/45575) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 11*n**3 - 114*n**3 - 1.\nAnswer: -125*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d = -10*d - 133 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 k when three letters picked without replacement from {a: 2, d: 2, r: 3, k: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 922970759 < 922970759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j - 38. Let z = -71 + 61. Let w be g(z). What is the greatest common factor of w and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 14*y + 47. Let s be j(9). Put 20, s, 0 in decreasing order.\nAnswer: 20, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3182 is divided by 159.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 3 + 3)*(0 + 1 + 0 + (1 + 3 - 2)*(-1 + 1 + 2))*(-5037*p - 32*p**2 - 11*p**2 + 5033*p).\nAnswer: 430*p**3 + 40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from {a: 5, f: 2, z: 2, c: 2, s: 2, q: 3}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -156 (b) 0.5 (c) 165 (d) 0.2 (e) 0.3 (f) -0.08 (g) -2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40483 - 40492 + 3379*m + 80975 - 3382*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48265*h**4*v**2 - 113*h**3*v**3 + 92*h**2*v**3 + 190*h**2*v**2 - h*v**3 + 7*h + v + 2 wrt h?\nAnswer: 1158360*h*v**2 - 678*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.1. Let m = -53\/2 - -27. Which is the nearest to m? (a) q (b) -2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12317 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = d + 3*v, 27*v = 3*d + 25*v + 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 9*x + 123. Let i be k(-3). What is the greatest common divisor of 36 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f**2 + f + 1. Let u be (-8)\/(-32) + 177\/12. Let y be (-25)\/u - 2\/(-3). Let s be v(y). Let o(w) = w + 8. Calculate o(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 3*k + 9. Let c be t(-4). Suppose 0 = 3*p - 14 + 2. Suppose g = -g + c*j - 33, j = -p*g - 11. Let i(f) = -f - 3. Calculate i(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 j when three letters picked without replacement from djggdzqq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -469, -1085, -1697, -2299, -2885, -3449, -3985, -4487?\nAnswer: -4949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 144599, 144550, 144509, 144482, 144475, 144494?\n\"Answer: k**3 - 2*k**2 - 50*k + 144650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 - 0 - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53768982 - 3.\nAnswer: 53768979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*r - 49 = 0, -2*l + 7*l - 4*r = 50. Calculate the greatest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*c = -0*y - 10, 0 = -3*c - 6. Suppose 5*f + 12909 - 297909 = y. What is f rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-836)\/(-24))\/(-11) - (3 - 7)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*a**3 + 24*a**4 - 2*a - 28*a**3 + 58*a**3 to the form g*a + k*a**2 + w*a**3 + q*a**4 + c and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2 + 1 - 1). Let t be 10\/(-4) - -2 - r. Let u = 5 + -1. Put u, 1\/7, t in descending order.\nAnswer: u, 1\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -313.92 - -267. Round l to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -1242\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 25*p**2 + 13*p - 342. Let j be h(-26). Which is the smallest value? (a) 4 (b) j (c) -0.3 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b443 + -37?\nAnswer: -b47a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10*(-2625)\/(-350)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 406*q + 406*q + 3*q**2 + 1786.\nAnswer: q**2 + 1786","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 573624 or 573627?\nAnswer: 573624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/342 and 23\/304.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 6*z. Solve z = -0*y - 4*y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-5) + 19548\/45 + -10.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -23. Let d be -1*z*(1 + -9). Find the common denominator of 122\/d*(-18)\/27 and -89\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 7 - 5 = -4*d, -3*h - 2*d - 14 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7266505 and 3335.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5 - 4*q - 5. Let p(h) = 5*h - 1. Let z(s) = -2*s**2 - 20*s + 4. Let r(t) = -4*p(t) - z(t). Calculate d(r(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -13*x - 5. Let a(r) = -r**2 - 52*r + 106. Let j be a(-54). Calculate q(j).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85767.41 millennia in centuries?\nAnswer: 857674.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -831930*n**2 - 106867*n**2 - 345881*n**2.\nAnswer: -1284678*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29887 + -27643. What is the highest common divisor of 48 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 - 2 + 6*d**2 - 3*d**2 as l*d + c + w*d**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (65\/(4550\/60))\/(1\/21)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 + 203*w - 89211\/4.\nAnswer: -(w - 681)*(w - 131)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1086 (c) 3 (d) 5 (e) 14 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49708862.\nAnswer: 2, 7, 3550633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.143 + -9.157. Let v = -3.7 + y. Let w = v + 9. What is the third smallest value in 7, w, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, -19, -94, -211, -376, -595, -874?\n\"Answer: -z**3 - 12*z**2 + 4*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, n: 1, w: 1, g: 1, x: 1}. Give prob of sequence nwg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900)*-2 - (4 + sqrt(19) + sqrt(19)*-2)) + -5.\nAnswer: -19*sqrt(19) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - (sqrt(25) + ((sqrt(225)*-1 - sqrt(225)) + sqrt(225))\/sqrt(9) - sqrt(25) - sqrt(25)))*-4)\/(sqrt(60)\/(sqrt(972)*3)).\nAnswer: -324*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23469\/4 - -5868. Which is the fourth smallest value? (a) 0.4 (b) -1 (c) 4 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2540)\/(-60) - (-2)\/3. Let x = l + -25. Let v be 182\/6 - (3 - -3)\/x. Calculate the highest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70451?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-930)\/279*6\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2154, 8607, 19370, 34449, 53850, 77579, 105642?\nAnswer: 138045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1188 = -4*v - 96. Find the common denominator of v\/(-2)*(-3)\/(-45) and -63\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 5 = 4*t. Let k be ((-1)\/t)\/(9\/(-18)). What is the units digit of (-3)\/k + -4 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 11*i**2 + 32*i + 70. Let z(s) = -s**2 + 7*s + 4. Let m be z(6). Suppose m*r = 5*r + 115. What is the remainder when r is divided by t(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14067 + -7188. Suppose 2403 = 17*r - p. What are the prime factors of r?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528, 1134, 1738, 2340?\nAnswer: 2940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 12*d - 14*d + 130, -3*f - 6 = 0. Solve 58*s = d*s + 36 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -889063*l + 889556*l + 60639 = 0 for l.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + 3*p**2 + 2 + p**2 + 11*p**3.\nAnswer: 11*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/14? (a) 3 (b) -2\/7 (c) -4\/307 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 10) to base 6\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-2)*6*196\/(-30). Suppose 118 = 5*n + i. Solve -v + n = 0, 2*h + v + 2*v = 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 3*x**2 + 4. Let r be g(-3). Suppose 3*f - r*f + 7 = 0. Put 0, f, -1 in ascending order.\nAnswer: -1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1134\/(-6237)*(-264)\/14. Let q = 2 - 2. Suppose 4 = -q*s + 2*s. Which is smaller: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**4 - k**3 - 2*k + 1. Let g(j) = -185*j**4 + 5*j**3 + 34*j - 1. Let a(t) = g(t) + 5*p(t). Find the second derivative of a(f) wrt f.\nAnswer: -2340*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -17*t + 44. Let s(d) be the second derivative of d**3\/6 - 124*d + 9. Give m(s(l)).\nAnswer: -17*l + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**3\/3 + a**2\/2 + 2*a + 148. Let w(c) = -c**3 + 4*c**2 - 4. Let k be w(4). Determine v(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 g, and 1 f when three letters picked without replacement from qafeaiiagieiaiaii.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j + 1971 = 31*j. Calculate the remainder when j is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*t**5 + 13*t**5 + 5*t**5 - 5 + (-2*t**2 + 0*t**2 + 25*t**2)*(4*t**3 - 7*t**3 + 4*t**3).\nAnswer: 21*t**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*t = -2*w + 61*t + 150, -3*w + 228 = -3*t. Let y(c) = 3*c - 2. What is the remainder when w is divided by y(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 488 and 7198?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (114\/760)\/(15\/(-1660))*1.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -1\/30*r**5 - 1\/360*r**6 + 0*r**2 + 0 + 17\/6*r**3 - 1\/6*r**4 - 2*r. Let g(l) be the second derivative of x(l). Factor g(m).\nAnswer: -(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4410408118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 - 1)*(1 - 2 - 1 + (-4 + 4 - 2)*(1 - 3 + 4) + 0 - 3 + 4 - 3 + 1 + 0)*(z - z - z).\nAnswer: -56*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (0 + (0 - 5)). Let z = 2913 + -2896. Suppose z - r = 6*i. Are 3 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f + 2. Let p(s) be the first derivative of -3*s**2\/2 - s + 1. Suppose 7 + 5 = 4*r, 5*z - 5*r + 25 = 0. What is z*y(i) - 5*p(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 479, 520, 643, 890, 1303, 1924, 2795, 3958?\nAnswer: 5455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*m = -77*m - 56. Let l(w) = 8*w**2 - 3*w + 11. Let b(n) = 9*n**2 - 3*n + 12. Give m*l(u) + 6*b(u).\nAnswer: -2*u**2 + 3*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133905655.\nAnswer: 5, 13, 23, 43, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 - 108 = 4*p + 2*b, p + 2*b - 99 = 0. What is the remainder when p is divided by 24 - (2 + -1 + -2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-275)\/(-15))*4\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - h + 4. Let v(g) = -g**2 + 3. Let i(t) = 3*u(t) - 4*v(t). What is the tens digit of i(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 13*v + 33. What is z(12)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-90)\/(-8)))\/((-63342)\/1350 + 47).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2223\/220 + -8\/55. Let m = t + 10. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 4. Give q(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1944, 1968, 1992?\nAnswer: 2016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2574740 and 14.\nAnswer: 2574740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - l + 11. Suppose 2*u - 3 = i, 3*u - 2*i + 12 = -6*i. What is the units digit of s(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253 and 83757605.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6175 - 6149. Solve -20*t + 33*t = z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 582 and 402841.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 - -77. Solve 0 = -f - 3*u + 6*u - 6, 0 = -j*f - u + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b - 5*m + 77 = 0, m = 2*b - 49. Calculate the remainder when b is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of z**2 + 14800*z - 85173.\nAnswer: 2*z + 14800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 439*t**2 - 1314*t + 2612. Determine w(436).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*h - 180 = 2*t - 2*h, -h = -4*t + 4*h + 28 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 970562003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/92 and -61\/322?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85133, 85101, 85069?\nAnswer: 85037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 2\/5, 13, 1\/7, -1 in decreasing order.\nAnswer: 13, 2\/5, 2\/7, 1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 + -24. Let l = 41 - y. Suppose 0 = -2*s + 6, -f - l*s + 6 = 1. What is the closest to 0 in f, -4\/5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 7 = 1. Let f be 2\/p*(1 + -1). Suppose -z - 2*z + 288 = f. Is 46 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + -2a4b?\nAnswer: -2a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d = 0. Suppose -3*u = 4*u + 28. Sort d, u, -1 in descending order.\nAnswer: d, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3 + 2 - 11 - 8*x - 1. Let h(l) = l + 1. Determine 6*h(n) + i(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310224 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -7*t**6\/120 + t**5\/60 - 7*t**2. Find the third derivative of x(u) wrt u.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 0. Let d be p\/((0 + 2)\/2). Solve j - 2*o + 10 = 0, 5 = 3*j - d*j + o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1156 divided by 4.\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g - 2. Let h(a) = -a + 1. Let c be 484 - 5\/15*18. Suppose c*x = 481*x + 3. Give x*q(t) - h(t).\nAnswer: 7*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 611244631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1475 is divided by 482.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -43. Suppose 0 = -0*s - 4*s + p. Solve -6 = -s*f + f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/20*10400\/312\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-1 + 2 + -2). Suppose 2*f - f = v. Solve n - 25 = -5*l, -4*l = -f*l + 4*n - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010211020 (base 3) to base 5.\nAnswer: 1204340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 118 + 19 = 0. Suppose -a*f = -30*f - s - 3682, 0 = 4*f - 5*s - 4913. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2. Let m(p) be the second derivative of -p**3\/2 - 2*p. What is a(m(y))?\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-224)\/(-616))\/((-14)\/(-77)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 261*y**4 - 12*y - 249*y**4 - 73*y**2 + 8*y wrt y.\nAnswer: 288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106\/15*z**4 + 0 - 728\/15*z**3 + 0*z - 338\/15*z**2 - 4\/15*z**5 = 0. Calculate z.\nAnswer: -13, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - k = 2*o - 7, -2*k + 5 = 3*o. Suppose -n + 32 = o*j - 50, -2*j + 50 = -4*n. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + -1681?\nAnswer: -1694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j - 20. Let m be b(9). Suppose w - s = 2*w - 18, 2*w + s = m. Let k = w + -12. Solve k*g + 3 = -5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9691785 divided by -4635.\nAnswer: -2091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1426.198216 - -0.469.\nAnswer: -1425.729216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 2*d - 11*d - 11. Let c be z(-5). Is 5 a factor of (10\/(-8))\/((-2)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465351485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41264716 is divided by 213?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25216 + -12052?\nAnswer: -40301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3613894*j**2 - 2280255*j**2 + 6845640*j**2.\nAnswer: 8179279*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 5 (b) 2 (c) -22 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytzs when four letters picked without replacement from {t: 1, s: 1, y: 3, l: 2, z: 4}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160 + -160.2. Let z = 0.01 - -0.99. Which is the nearest to u? (a) z (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/((w\/((w**0\/w)\/w))\/w)))**25)**(-6\/13)*w\/(w*w**7)*w*w*w\/w**(-6)*w*(w\/(w**(-1\/2)\/w))**(-11) assuming w is positive.\nAnswer: w**(-1237\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*p = -1705, -4*l - 4*p - 865 = -3*l. Let s be 13\/(l\/10) - (-134)\/26. Solve 2 + 9 = -2*c - s*i, -4*i = -c + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (102\/(-136))\/((-15)\/48*-3)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2. Let s(y) = -y - 7. What is -6*b(q) + 3*s(q)?\nAnswer: -3*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2455\/5712 + -1\/816. Sort 1\/2, -0.2, 19, u.\nAnswer: -0.2, u, 1\/2, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n - 5. Let d(u) = -3*u - 4. Let c(g) = 5*d(g) - 4*j(g). Suppose 3*v - 2 = 2*v. Let b(r) = -2*r**2 - r**2 + 0*r**v. Give b(c(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39\/52 + (-562)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) 4 (c) 33\/7 (d) -1\/2 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.76 + 0.26. What is the biggest value in 3\/5, 0.07, x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i - 676 = 27*i. Let l = -672 + i. Let j be (3\/(-2))\/((-9)\/60). Solve l*a + j = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*s + 32, 7 - 15 = 3*n + s. What is the units digit of 805*(n + 3 + 0)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4988 - -4990. Suppose l = 3*l + 5*m - 17, 12 = 3*l + 3*m. Suppose -3*i - 13 = s, 2*s + 3*i + 12 = -2. Sort v, 3, l, s in ascending order.\nAnswer: s, l, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - (-3105)\/(-253) - -51?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33620.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 1 (b) 0.16 (c) 0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -202, -564, -1074, -1732?\nAnswer: -2538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87370466?\nAnswer: 2, 43685233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/99 - (-17 - ((-10690)\/630 + (-7)\/49))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1986, 3916, 5784, 7602, 9382, 11136?\nAnswer: 12876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1295 (b) -0.08 (c) 2 (d) -2 (e) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -14067 (c) 0.5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394109 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + 0. Let s = -7 + f. Calculate the remainder when 8 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*p - 41*p - 58*p + 420 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -888*r = -867*r - 37863. List the prime factors of r.\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-45 + -40 - -38).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253332.\nAnswer: 2, 3, 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2075\/65 + -5 + 8\/104?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23649 in 0, 2\/3, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*(-8)\/600*4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16428*d**4 - 95804988*d**3 - 460504071*d**2 + 89694276*d - 4282845 = 0.\nAnswer: -5827, -5, 7\/74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrxxrcycxxxyx. Give prob of picking 2 c.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -3. Let g be (-995487)\/5 + i - 39\/65. What is g rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 914 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 47\/5 + (4\/10)\/(-1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdjwbjdbwjwwdwj. What is prob of picking 2 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -52, -116, -208, -328, -476, -652?\n\"Answer: -14*a**2 + 6*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -19*i + 8. Let j be p(5). Let t = -783 + 461. Let u = j - t. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2 - 88*d - 86 = 0.\nAnswer: -43, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 4*i**2 - 3*i + 2. Let p be u(-3). Factor 3\/4*j**p + j - 1.\nAnswer: (j + 2)*(3*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(3*(-3)\/(-18)). Suppose -l*g + 6*g - 16 = 0. Suppose -g*f - 1223 = -63. Round f to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 50 = 2*g, -23 = -2*l + g - 68. Which is the biggest value? (a) l (b) 4 (c) 0.3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63192, -63208, -63234, -63270?\nAnswer: -63316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.19012 rounded to two dps?\nAnswer: 32.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 11*a - 13. Calculate q(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 164.20305 to one dp.\nAnswer: 164.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/7*1*(-1)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 7:02 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 0*y**3 + 4*y + 1121*y**4 + y**3 + 2*y**2 - 1123*y**4.\nAnswer: -2*y*(y - 1)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667097.9 years in millennia?\nAnswer: 667.0979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 3477260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 82. Calculate the remainder when f is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13335 is divided by 117.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 267*u + 3458. Let k be x(-12). Calculate the greatest common divisor of k and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -893 + 90b?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7*m + 36 = 0. Solve -2 = -u, 6*n + 4*u = 2*n + m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((1*sqrt(4212) + sqrt(4212))*6)\/(1*sqrt(196)*2))**2.\nAnswer: -216*sqrt(13)\/7 + 38104\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-44) + 4\/22. Let c(t) = -2*t + z - 5*t + 4*t - 2. Let r(w) = -16*w - 11. What is -33*c(b) + 6*r(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (400*h**2 + 147467*h - 147467*h)*(h**2 - h**2 - h**2) + (-1 + 1 + h**3)*(4 - 4 + h).\nAnswer: -399*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 2 = -2. Let g be (2\/(-8) + 1\/(-12))*f. Suppose 5 + 4 = 3*o. Solve g = -4*u + o*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12914 or 12915?\nAnswer: 12915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i - 2. What is the least common multiple of 8 and u(2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from acycdkcydyakkqqcya.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -27*k - 210. Let b be (-7 - -8 - k) + -3. Sort -5, -11, b.\nAnswer: -11, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113948 is divided by 897?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*d + 22*d - 6*d + (1 - 3 + 3 + 4 + 0 - 3 + (5 - 2 - 1)*(-2 + 4 + 0) - 3 - 1 + 3 + 2 + 0 + 0 + 0 + 2 - 4)*(-16 - 4*d + 16) to b + z*d and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**4*z - 501*n**3*x*z + 2*n**2*x*z + 55*n**2*z - 2*n*x wrt n?\nAnswer: 48*n*z - 3006*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 5*x + 24, -2*v + x - 2 = -0*v. Let z be 1\/v + 2\/2. Let r(w) = 0*w - z*w + w. Determine r(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -4, -5, -8, -13, -20, -29?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + l = -0*z, 5*l - 15 = 0. Let m be z + 3 + -2 + 2. Suppose -5*r - 4*j + 14 = m, 0*r - 2 = -r - j. Solve -5*c + 2*c + r = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198 (base 13) to base 14\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4*u = -30, 3*d - 4*u = 3 + 23 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95292400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4889641, 9779283, 14668925, 19558567, 24448209, 29337851?\n\"Answer: 4889642*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*o = 32, -3*d + 3*o + 7 = 25. Is d at most -55\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -15792*a - 46225. What is c(-3)?\nAnswer: 1151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*q + 10*q + 956, 6*l = 5*q + 1434. Solve -10*w + 299 = l for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 11*g**5\/4 - 45*g**4\/8 + 29*g**3\/8 - 3*g**2\/4 = 0.\nAnswer: 0, 1\/2, 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 6*w**2 - 12*w + 8. Let l be q(8). Let n = -18 + l. What is the remainder when 42 is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/3 (b) 0.2 (c) 0.033 (d) 5 (e) 0.1 (f) 4551 (g) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by 179?\nAnswer: -36\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1289755, 1289757, 1289759, 1289761, 1289763?\n\"Answer: 2*n + 1289753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 9:40 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -41*x. Let g(n) be the third derivative of n**4\/12 - 2661*n**2. What is g(z(h))?\nAnswer: -82*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -29. Suppose 0*a + 25 = 5*a. Suppose -220 = -a*h - 45. Calculate the remainder when h is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -467540 rounded to the nearest ten thousand?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-418620)\/8)\/(((-35)\/28)\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.05, 3735, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(-43))**16 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -338198 - -1322566. Let w = 984352.000072 - z. Let c = -16 - w. What is c rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195 and 4479.\nAnswer: 291135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2)*x**(-7)*x**(-8)*x**(-7)\/x assuming x is positive.\nAnswer: x**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 3*b + 10 - 15)*(-2*b + b + 2*b).\nAnswer: 2*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a**2 - 3*a + 1. Give u(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30641 + 30640. Which is the third smallest value? (a) 4 (b) -27 (c) 5 (d) -5 (e) h\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14764178\/5*m + 2\/5*m**3 + 10868\/5*m**2 + 0 = 0 for m.\nAnswer: -2717, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 282110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 1b?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -503219 + 925*g + 503219 - 2*g**2 as f*g + l*g**2 + n and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901 is divided by 892.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27070797246 plus -4?\nAnswer: 27070797242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 45*t**2 - 223*t + 4584. Calculate v(23).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-213)\/142)\/(3\/23)*-2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 22*m - 15. Let b = -259 - -247. Let x be j(b). Let u(c) = -2*c**2 - 5*c - 2. Let k(r) = 8*r**2 + 21*r + 8. Determine x*u(g) + 2*k(g).\nAnswer: -2*g**2 - 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**3 + k**5 - k**3 + 4*k**3 + (0*k**4 - 5*k**4 + 2*k**4)*(3*k - 3 + 3).\nAnswer: -8*k**5 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = 44*l + 58 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1098 (base 11) to base 6\nAnswer: -10354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -130 + 116 - (4 - 44).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 10\/2 - 2. Let g be 3*5\/(-6)*d. Let s(t) = -7*t**2 + t - 9. Let i(m) = -3*m**2 + m - 4. Let w(v) = 9*i(v) - 4*s(v). Give w(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -260327*c**3 - 611377*c wrt c.\nAnswer: -1561962*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n + 2*f + 58 = -18*n, 0 = -2*n - 5*f. Let p(v) = -v**2 + 93. Give p(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -65, -124, -179, -230, -277?\n\"Answer: 2*d**2 - 65*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 - 87 - 97 = 13*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a. Let b be (5 + -2 - 3)\/1. Let c be d(b). Let k(z) = z**2 + z + 4. Let t be k(c). Solve -u + 2 = -2*u, -t*j = -5*u - 22 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115 + 7*y + 115)*(-4 + y**3 + 4).\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 1. Let b(v) = -11. Let x(k) = -5*a(k) + b(k). Let m(t) = -t - 1. Let p(r) = 6*m(r) - x(r). Let f(j) = -2*j. Calculate f(p(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164318970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/10)\/d*d*d*d**(-3\/4))\/(d**(-2)*d**(1\/9)) assuming d is positive.\nAnswer: d**(367\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 18*d - 73. What are the prime factors of j(31)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 3 (b) -0.2 (c) -3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -984*l**4 - 2*l**3 - 703*l + 1 wrt l.\nAnswer: -11808*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/12)\/(i\/(i\/((i*i\/i**39*i)\/i)*i)) assuming i is positive.\nAnswer: i**(457\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 10 = 0, 55 = -5*c + 103033*o - 103036*o for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-2)\/((-1)\/1). Let k = -4.07 + 0.07. Let l = 2.461 + 0.539. What is the nearest to z in 2, k, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 716*y**2 - 717*y**2 + 2667*y - 1979*y + 3177*y + 7003*y to the form k + u*y**2 + r*y and give r.\nAnswer: 10868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvuv when four letters picked without replacement from {u: 6, v: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 247 + 415 = 0. Calculate the remainder when 454 is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.97 - -0.985. Let s = 0.015 - l. Let y = s + -23.9999978. Round y to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18997 and 314?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29687866.\nAnswer: 2, 13, 179, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 10, 47, 8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*c**3*z + 730*a*c**2*z + 2*a*c**2 - 491075*c**3*z + 6*z wrt c.\nAnswer: 12*a*z - 2946450*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 15*p**2 - 25*p + 62. Let m(n) = -7*n**2 + 13*n - 30. Let x(v) = -6*l(v) - 13*m(v). Solve x(b) = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 42 = -v, 5*v + 2*y = 98 + 109. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3)*-1 - 143\/455. Which is the second biggest value? (a) -5 (b) g (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -113619.\nAnswer: -28\/113619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 220 or 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = 1. Let o = -3 + 2. Is k less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from hpkoz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 - 33*k - 70. Let q(t) = -4*t**2 + 34*t + 69. Let w(p) = 3*h(p) + 2*q(p). Let a be w(17). Is a <= -311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135*x**3 + 37*x**2 wrt x.\nAnswer: -810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 8151*n - 16314.\nAnswer: 3*(n - 2)*(n + 2719)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1121344 - -111002?\nAnswer: -1010342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -535 (base 13) to base 12.\nAnswer: -621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-165))\/(7*(-3)\/(-63))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 2*w**2 - 3*w + 3*w**2.\nAnswer: 8*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -131720884 divided by -65860442?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -20393.77418 to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:35 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 7\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 > -6747\/190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9681113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 59163?\nAnswer: -5916.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 189.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*k, 13*v - 14*v = -k - 1. Suppose 2*w = 4 - 10, 0 = -3*x - 4*w. Put x, v, -3, 2 in decreasing order.\nAnswer: x, v, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1837101 - -2?\nAnswer: -1837088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 6 - 1. Calculate the lowest common multiple of 3 and (15\/(-20))\/(l\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26589.13 - -4.3?\nAnswer: 26593.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25661 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: Does 76 divide 136845676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 4:19 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4758069 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*x - 28 - 28, 4*x = -12. Let n be 858\/110 - (-8)\/h. What is the fourth smallest value in n, 2\/13, -4, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 t when four letters picked without replacement from {t: 2, z: 11}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -308397670 not equal to -308397672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 122100100122111121?\nAnswer: -122100100122111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-eight sevenths of a week?\nAnswer: 69120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 7 = 3*p - 19, -2 = -h + p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 45256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.4, -1, -0.9, 0?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**4 - 1425*w**3 + w**2 + 1425*w = 0.\nAnswer: -1425, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -6*s + 21. Let p be 2*s\/((-20)\/(-28802)). Let v = 8901 - p. Round v to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206503 is divided by 52.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -52*m**3 + 44*m**2 - 90*m + 14. Let q(s) = 11*s**3 - 9*s**2 + 18*s - 3. Give -14*q(n) - 3*y(n).\nAnswer: 2*n**3 - 6*n**2 + 18*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -12*a**5\/5 - 12*a + 11. Find the first derivative of g(i) wrt i.\nAnswer: -48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -35. Let w(q) = q - 723 + 734 + v*q. Let y be w(-5). Sort y, 0, -4, -3.\nAnswer: -4, -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*f - 83*f = -10*f + 71160000. Round f to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4075 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304 by -152.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 3:27 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 10354852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479209 is divided by 239600?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 102*t**2 + t + 6. Let l(z) = 92*z. Give f(l(g)).\nAnswer: 863328*g**2 + 92*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 1 + (55 - 19 - 1 - 32)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*o + 5*z + 10, -5*z = -o + 5. Suppose 2 = 3*y - 3*k + 5, -o*y + 3*k = 3. Let b = y + 4. Solve -5 = -w - b*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10539 - -10548. Suppose 2*j - 2*i = 4, i + 8 = j + 2*j. Solve w = j*d - 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -503 + 354. Let b = x - -149.00044. What is b rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94\/(-423)*5\/((-15)\/(-12))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*u + 2*n = 143*u + 3, 3*u + 5*n - 9 = 0. Solve -8 = -2*c + z, u*c + 2*z = 5*c - 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 3:32 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-21)*39949\/(-1756).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**11\/((o\/o**(-12\/5))\/o))\/((o*o\/o**(11\/3))\/((o\/(o**(2\/33)\/o))\/o)) assuming o is positive.\nAnswer: o**(1849\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.671996ml in litres?\nAnswer: 0.002671996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 140461 or 140490?\nAnswer: 140461","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 8*s**2 - 9*s - 5. Let q be l(9). Let d(o) = -o**2 - 4*o + 1. Let i be d(q). Let g = i - -7. Solve -3*r = k, -5*k + g*k = -r + 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 1 + 16 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 728, 728, 730, 734?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -4*z**5\/5 - 2*z**4 + 4*z**2 + 4*z - 11. Determine g so that s(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 795\/105 - (1 - -2 - -5)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 1. Let t = 17 - 12. Let c(w) = 6*w**2 + w + 23. Let i(a) = t*o(a) + c(a). Let m(u) be the first derivative of i(u). Determine m(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - x + 86 = 79, -3*x = -2*h. Let l(d) = 50*d**3 + 3*d**2 - d. Let m(w) = 49*w**3 + 2*w**2 - w. Determine h*m(p) + 2*l(p).\nAnswer: -47*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 615832061 to the power of 1\/2, to the nearest integer?\nAnswer: 24816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 223047*y - y**2 - 223047*y + 3*y**3 - 1 + (1 - 3 - 3)*(-2*y**3 + y**3 + 0*y**3) in the form d + u*y + a*y**2 + z*y**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.1. Let m = -85 - -83. Which is the biggest value? (a) g (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/3 + 2*w**3\/3 - 48*w**2 - 72*w + 576.\nAnswer: 2*(w - 8)*(w - 3)*(w + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -147\/8, 2, 3\/2 in decreasing order.\nAnswer: 2, 3\/2, -147\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -6 + (-13 - -22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*13.0667.\nAnswer: 130.667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42930 and 29970.\nAnswer: 1588410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-46)\/(-460))\/(3\/10). What is the third biggest value in w, -0.5, -2\/3, -1\/30?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2457)\/(-14))\/(-39))\/(3\/6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -45090 divided by 3\nAnswer: -15030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 59*l + 24*l + 140*l + 121 - 41. Is g(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3281312 and 12688?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*f - 5*c, 4 + 4 = 3*f - c. Let v be -2 + 1 - 0\/1. Let r = v + f. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 5314146?\nAnswer: -5314151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 302378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3870 is divided by 964?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*-3.128\nAnswer: -9.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -25. Find the third derivative of -16*r**5 - 16*r**3 + 9*r**3 - 8*r**p + 7*r**3 wrt r.\nAnswer: -960*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-6*q + 0*q + 4*q) - 2 + 2 + 3*q + (0*q + q - 2*q)*(0 - 3 + 1) - 6 + 5*q + 6.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - 11. Let g = h - -13. Let b(n) = -n**2 - 7*n + 5. Let a be b(g). Solve -2*u - 5*r - 13 = 0, -3*r - 3 - 11 = -a*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 24*s**3 + 5*s**2 - 7*s + 1. Is x(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 + 1.7. Which is the closest to 1? (a) 2\/5 (b) 0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18249 divided by -1.\nAnswer: -18249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1058, 1048, 1032, 1010?\nAnswer: 982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t, 4*t + 12 = 5*y - 19. Suppose -x + y*o = -12, 15 = -o - 4*o. Let r = -389 + 391. Solve u + 2 = 2*b + x, r*b + u = 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1190 = 54*t - 55*t, 5*t + 25 = 0. Let j = -395 - l. Solve -3*o = 2*o + y + 1, -5*o - 5*y - 5 = j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u**2 - 4. Let f(s) = -6*s**2 + 3. Give 7*f(l) + 5*m(l).\nAnswer: 3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59399 is divided by 396?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 29*v**5\/15 + v**4\/24 - v**3\/3 - v**2. Let k be l(2). Let y = k + -164. Round y to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1445 - 477 - 368 - 498 + 5*j - 27*j + 20*j.\nAnswer: -2*j + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 5*m**2 - 8*m - 7. Let z be g(-3). Let k(j) = 2*j**2 - 1. Let b be k(z). Solve -3*a + b = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -0.09 (c) -1941\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-4 + 9 - 4)) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z**2 + 3*z + 3. Suppose 6*x - 2*x - 24 = 0. Let a(r) = 68*r - 126*r + 15*r**2 - 2*r**2 + 65*r + 7. Determine x*a(w) - 14*o(w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -311262 (base 13) to base 9\nAnswer: -2134643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 - 16*v**2 - 2 - 62*v + 61*v + 4 to n*v**2 + c + y*v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 + 38*v**2 - 3*v - 267. What is g(12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -11 + 3\/5*r**4 + 8\/15*r**3 + 4\/25*r**5 + 0*r + 0*r**2. Factor a(o).\nAnswer: 4*o**2*(o + 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2095 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 1:03 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i*s*v - 76123*i*s + 458*i*v - 132*s*v + 27*s + 394*v - 6 wrt v?\nAnswer: 2*i*s + 458*i - 132*s + 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/(m\/(m*m\/(m*m**(-9)*m))))\/((m*m\/(m**(-2\/5)\/m)*m*m)\/(m*m**(1\/8))) assuming m is positive.\nAnswer: m**(189\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 5. Let v be r(-25). Let w be 44\/24 + (-5)\/v. Put -1, w, 1\/6 in decreasing order.\nAnswer: w, 1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2271057 divided by -757019.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}