diff --git "a/data/dm_maths/full_data_2/10920_11255.jsonl" "b/data/dm_maths/full_data_2/10920_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10920_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let d = 33.214 + -15.156. Let s = -0.058 + d. What is the third biggest value in 3, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4 - 40. Let u(s) be the first derivative of -s**4\/4 - 3*s**3 - 3*s**2\/2 - 8*s + 2. What is the tens digit of u(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**3 + 2*m**2 + 2*m + 4. Let l(x) = -6*x**3 + 5*x**2 + 5*x + 7. Let t(p) = 2*l(p) - 5*w(p). What is the first derivative of t(n) wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 - 59. Solve l*x = 7*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.515530751 - 5.77.\nAnswer: -16.285530751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:27 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhl when three letters picked without replacement from {x: 2, l: 7, h: 1, z: 2}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*(2 + (sqrt(833) - 2*sqrt(833))))**2 - (sqrt(833) + (sqrt(833) - -1*sqrt(833)*-2))*2).\nAnswer: -56*sqrt(17) + 1674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -46*i. Let t(z) = z**2 + 3*z - 1. Let h(v) = 2*v**2 + v - 3. Let a be h(0). Let w be t(a). Is x(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 11*l**2 - 11*l + 14. Let b be w(10). Suppose b*h - 1 = 7. Suppose g = -2*m - h*g + 80, 47 = m + 5*g. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*w + 23*w**2 - 117*w - 6*w**2 + 10*w**2.\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323 bigger than 1322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -2, -0.0906 in ascending order.\nAnswer: -2, -0.0906, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -269664 divided by 2544\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10 - 3\/90*-32.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 - 249*h + 249*h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 3*z**2 - z + 2. Let i(g) = -4664*g**3 + 17490*g**2 - 5830*g + 11660. Give i(y) - 5830*u(y).\nAnswer: 1166*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/33)*n)\/n**(4\/7))\/((((n\/((n*n*n**(3\/4)\/n)\/n))\/n)\/n)\/((n**(-1\/8)\/n)\/n)) assuming n is positive.\nAnswer: n**(1835\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/58)*a*a**(2\/23)*a**(13\/5)*a\/(a**(1\/7)*a) assuming a is positive.\nAnswer: a**(164669\/46690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3\/10))\/w*w**(1\/3)*w\/(w\/(w**(-3\/7)*w))*w\/(w*w**(2\/7)*w*w) assuming w is positive.\nAnswer: w**(-227\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -64\/52073?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 616 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12220 (base 5) to base 14\nAnswer: 4ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66323862, -132647722, -198971582?\nAnswer: -265295442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -3*a**3\/2 + 9*a**2\/2 - 7985*a. Let g be 11\/4 - 2\/(-8). Let i(y) = -3*y + y + 5 - g*y. Determine 6*h(f) - 11*i(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*t - 5632806 + 482418 = 0. Is t a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111156194?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8296553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 4*c + 16*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17253399 by -3.\nAnswer: 5751133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, 1\/7, 1\/9 in decreasing order.\nAnswer: 1, 1\/7, 1\/9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -8 - 10\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5332134 is divided by 589.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(396) + 3 - sqrt(396))**2 - (sqrt(396) - (-1 + sqrt(396) + 1))) + (1 + 0 + sqrt(11) - -1*sqrt(11)*3).\nAnswer: 5 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smsv when four letters picked without replacement from {s: 2, o: 7, v: 1, m: 8}?\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 + 183. Suppose s = -4*f + 42, s - 8*f - i = -4*f. Calculate the remainder when s is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.3 - -83.1. Let n = 93 - j. Let r = -6.5 + n. Is r smaller than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 4. Let b be j(-8). Let l = b - -21. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -28*t - 252. Calculate w(0).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(143) - sqrt(143))\/sqrt(11) + (sqrt(65) + -1*sqrt(65))\/sqrt(5))*1.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 13. Let z be m(-5). Let p(h) = z - 3*h - 8. Let g(d) = -3*d. Give g(p(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/15)\/(-2))\/(210\/150).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79559?\nAnswer: 79559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 18*q**2 - 904*q + 7894. Let w be s(39). Find c such that 3*c**4 - 47\/4*c**3 - w - 1\/4*c**5 + 13*c**2 + 12*c = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 273 + -273.181. Let w = y + 0.281. Which is the third smallest value? (a) w (b) 1\/11 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgt when three letters picked without replacement from thzzgkzztzztkkzzt.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 3. Let g = -5 - -12. Let z = -2 + g. Sort -5, z, y in decreasing order.\nAnswer: z, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 + 33. Let o = -75 + d. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154684925?\nAnswer: 3, 5, 2087, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 12*(-40)\/(-224) - 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 13 (b) 2 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -364 - -371. Let l be 3*17*(-2)\/(-3). Suppose l = 4*i - 38. Calculate the remainder when i is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 779\/(-17) + 1232\/1496\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 118. Let r = l - 90.2. Is 1 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.113 - 0.057. Let b = 0.27 + s. Suppose 2*g = 2*n - 12, 5*n + 4*g = -5 - 1. What is the closest to b in 3, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33878625 to the power of 1\/2, to the nearest integer?\nAnswer: 5821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/731 + 1432\/10965. What is the third biggest value in -36, p, -1\/6?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-10))\/3*4. Let d = t + 0. Let u = -13 - -10. Put d, -6, u in ascending order.\nAnswer: -6, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55360908 and 30780.\nAnswer: 6156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.54 - -0.12. Let x = -1.16 + p. What is the nearest to -1\/6 in -3, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 0, 5*s + 4*k = 3*s + 480. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2764*y - 7262 - 7258 + 14520)*(2*y + 13*y + 0*y).\nAnswer: -41460*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116 - -122) + 11 + -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 2:00 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 324492169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203954652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*w - 63 = 0, -4*w + 12 = -8. Let i be (-2)\/(-1) - z\/9. Put i, 9, -4 in ascending order.\nAnswer: -4, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*i - 3. Suppose -16 = -i*t + 20. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106200473281 less than 0.2121?\nAnswer: -106200473280.7879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 21 = 4*i, 0 = -795*y + 800*y + 5*i + 25 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*i - 43*n = 289*i - 46*n - 2, 0 = -34*i + 3*n - 142 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + 0 + (sqrt(1300) - (sqrt(1300) + -2)) - (sqrt(1300)*-4 + 2))**2*-1.\nAnswer: -32500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 12, 4*v + 0*m + 4 = 5*m. Is v\/(-4)*60268\/78 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 9:09 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*f + 75*f + 20 = -4*p, 0 = 4*p + 13*f + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*b + 7 = 0, 2*u + 5 - 1 = 2*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -55.\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -26 - 278. Does 20 divide (-4)\/(-1) - p\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11\/33 + (-578)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssff when four letters picked without replacement from ottfskksaofssfsookfs?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20597803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 765\/4 + -191. Let j = 112122797\/325793 - -9\/25061. Let l = j - 344. Which is the nearest to w? (a) l (b) -2\/11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 h, and 1 s when four letters picked without replacement from hhcjpsw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 8:50 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 + 4*y - 6. Let w(m) = 4*m**2 + 5*m - 7. Let t be 1\/((-13 - -11)*(-1)\/10). Suppose 2*k - 7 = t*o + 3, -o - 9 = k. Calculate k*j(c) + 4*w(c).\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4*r**(-1\/4))**(-34)*(r**(1\/4))**48*(r**1\/r)**35 assuming r is positive.\nAnswer: r**(-231\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/4)\/((-116)\/232)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 984105593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*w - 21*w - 2*w**3 + 11*w**2 + 11*w wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 + u**2 + 11 - 13.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 224*o**5 + 117150*o**3*t + 52*o*t - 347*o - 29*t - 1 wrt o.\nAnswer: 4480*o**3 + 702900*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.4. Let h be ((-12)\/(-12))\/((-1)\/(-4)). Let g be (1 - h) + (335\/65 - 2). What is the biggest value in -0.5, m, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 746 = 5*d + 3*h, 3*d - 294 = 5*h + 174. Solve 0 = -d*x + 150*x + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/29 (b) 0.053 (c) 2\/201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1696*d**2. Let u(c) = -c. What is u(o(q))?\nAnswer: 1696*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (18 - 11 - (0 - (-5 + 20)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 33. Suppose 0*w - p*w + 100 = 0. Suppose -17*b = 4 - 38. Solve -b*k - 5 = -3*k + 5*a, 4*k - w = a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/36160 and 99\/1900?\nAnswer: 3435200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.381 and 0.6?\nAnswer: -0.2286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 116 - -2?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2. Let x(g) = -2 - 9*g - 13*g + 29*g - 8*g. Let y(l) be the first derivative of l**2\/2 + 3*l + 1. Let d(n) = 6*x(n) + 4*y(n). Determine d(i(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-5 - (-13 - 5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.2333157 to one dp.\nAnswer: -51.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2788 by 559231.\nAnswer: -2788\/559231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -33*o**2 + 3*o. Let y(q) = -67*q**2 + 7*q. Let x(h) = -5*d(h) + 2*y(h). Let w(z) = 758*z - 1529*z + 768*z. Calculate x(w(i)).\nAnswer: 279*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/4 + 3*k**3\/2 + k**2\/4 - 3*k\/2.\nAnswer: -k*(k - 6)*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533 is divided by 529?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30332, 121007, 272120, 483665, 755636, 1088027, 1480832, 1934045?\nAnswer: 2447660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*((-15)\/6 - -4). Suppose -h*w + 30 = -3. Calculate the highest common divisor of w and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 3*a**2 + a**2)*(3 - 4 + 13)*(-4*a**2 + 9*a**2 + 16*a**2).\nAnswer: -504*a**4 - 504*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n**14*n)**(3\/16))**(-2) assuming n is positive.\nAnswer: n**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172 and 568657972?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 123*o - 475*o**4 + 1 + 224*o**4 wrt o?\nAnswer: -3012*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 12*r + 74. Let h be x(-6). Suppose -h*m = 5*q - 58 - 73, -m - 3*q = -66. Calculate the highest common divisor of 84 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + 0*k**4 - k**4 + (-4*k**3 - 5*k**3 - k**3)*(-45*k + 22*k + 3 + 18*k).\nAnswer: 48*k**4 - 30*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 3)\/16*(0 + 2). Sort x, -7\/5, 2\/5.\nAnswer: -7\/5, x, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 39*z - 1. Is 9 a factor of p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 294*x**4 - 7266*x**3 - 2*x - 41244582?\nAnswer: 1176*x**3 - 21798*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 + 317*b**3 + 633*b**3 + 5*b**2.\nAnswer: 950*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94288569.\nAnswer: 3, 23, 103, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -2, -0.0007, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(3025) - (sqrt(3025) - (-2*sqrt(3025) + sqrt(3025))) - (1*sqrt(125) + sqrt(125))\/sqrt(5)))\/((sqrt(360)\/(sqrt(9)*-2))\/(4*sqrt(32))).\nAnswer: -1040*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2\/497*(-1456)\/(-416).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255011.\nAnswer: 271, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, 6.6, 68\/7.\nAnswer: 0.3, 5, 6.6, 68\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1 - 6.1. Let d = -1034.98 - -1035. What is the nearest to d in 1, t, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 6685 + -6684.8. Which is the fourth smallest value? (a) -4\/5 (b) -17 (c) y (d) -2\/7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 8 = 4*r, -r = 7*p - 2*p + 19. Let w = r + -1. Let j be -57002 - -2*(1 + w). Round j to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205641?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 399220?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h + 4 - 4. Let j(z) = z - 1. Give -2*j(u) + l(u).\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/687 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c + 23. Let x be j(-5). Let a = -20 - -14. Which is smaller: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 6696?\nAnswer: 26784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 3*s + 156 = 0, -4*r = 22744911*s - 22744914*s + 187 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 45 = -17*v + 12*v, 0 = -3*i + 15. Sort 3\/2, 0.06, 0.4, v in decreasing order.\nAnswer: 3\/2, 0.4, 0.06, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 0, n - 429*b + 476 = -425*b. Let t(j) = -14*j**3 + 3*j**2 + 3. Let r(h) = -1106*h**3 + 238*h**2 + 238. What is n*t(o) + 6*r(o)?\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 1 + 19 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 489*c*p**2 - 5*c*p - 3933*p**2 - 1 wrt c?\nAnswer: 489*p**2 - 5*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27514576 by 73.\nAnswer: -376912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 260 (base 9) to base 6\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(1701) + -5*sqrt(84)\/sqrt(4))*1)\/((sqrt(6) + sqrt(42)\/(sqrt(14)\/sqrt(2)))\/(sqrt(10)\/sqrt(20))))**2.\nAnswer: 3703\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102793?\nAnswer: 102793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (6 + -6 + (3 - 0))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19528.737 - 19542. Let s = -13.1 - m. Let k = s - 0.1630338. What is k rounded to six dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2200003739 to the nearest integer?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 7278040.5.\nAnswer: -80058445.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -598*-0.5\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (135 + -73 - 16) + -58 + 1 + 0 + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -442834 or -33212504\/75?\nAnswer: -33212504\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*63\/42.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 17*p - 401 = 22*p, p = -5*u + 1979. Does 18 divide 4*u\/(-192)*424\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:52 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m + v - 170, -4*v = 5*m - 425. Let n = 107 + -107. Suppose 0*b + 45 = b + 4*f, n = 2*b + 3*f - m. Does 35 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0*(a*a**(3\/11))\/a)\/(a**(-3))**(-12) assuming a is positive.\nAnswer: a**(-393\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 269300158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in 59, -2, 1, -37, 0.4?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j - 4*l - 6 = 0, 4*l + 8 = 0. Let a = -4 + 5. Let q = -234 + 229. What is the second smallest value in q, j, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 1017, 2268, 3755?\nAnswer: 5478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -11*l**3 - 7*l - 7. Suppose -2*o = -0*o - 6. Let x(h) = 2*h + 5*h**3 + 2 + 1 - h + 2*h. Calculate o*k(u) + 7*x(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -30, -175, 0.\nAnswer: -175, -30, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6148 and 0.2?\nAnswer: 6147.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17296822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 - 2) - (0 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (260 - 217) + 16 + -35 + 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22516*r + 851*r - 8396*r.\nAnswer: -30061*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 0*q - 61\/105*q**7 + 1\/3*q**3 - 1\/6*q**4 + 0 - 78*q**2 - 2\/3*q**5 + 31\/30*q**6 + 5\/42*q**8. Find r such that l(r) = 0.\nAnswer: -1\/5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6341809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 k when four letters picked without replacement from vwvvvzzvkkkvvzvzhkwv.\nAnswer: 112\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78785, -78775, -78743, -78677, -78565?\nAnswer: -78395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, 208, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829366 is divided by 50?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((1*sqrt(2560) - sqrt(2560)) + sqrt(2560) - sqrt(2560)) + -1*sqrt(2560)*-6)*2)\/(-1*(-3*(1*sqrt(128) + sqrt(128)) + -2*sqrt(128)*6)).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 28367898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 9 = 9. Suppose k + 6*k - 21 = i. Let m(s) be the second derivative of -s**4\/6 + 5*s**3\/6 - 2*s**2 - s. What is m(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5115 - 1769 = 5*r, x = 3*r - 3336. Let g = -542 - x. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57.23 - 57.35. What is the second biggest value in 3\/23, -0.3, -2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 132738.\nAnswer: -7964.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**3 - 7*a**2 + a + 5. Let g(q) = 6*q**3 - 6*q**2 + q + 4. Give 4*f(z) - 5*g(z).\nAnswer: -6*z**3 + 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 3*n + 1. Let v be (-2)\/(-1) + (14 - 1). Suppose -b + v = 12. Suppose 18 = -2*a - 4*u, 4*a + 9 = -b*u + 4*u. Calculate j(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2454 + 5007 - 24*x**2 - 2553.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 10*x - 3*c + 3 = 0, -4*c + 4 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. Suppose -5*w + 5 = 0, -m*o + 5*w = 3*w + 4. Suppose c - 24 = -5*u, 4*u = -c + 18 + 1. Is c <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z. Let o(y) = -6*y - 107. Determine -o(v) - 2*r(v).\nAnswer: 2*v + 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27386\/(-136) - (-3)\/12. Let n = -201 - l. Let t = -0.17 + 0.37. Which is the biggest value? (a) t (b) n (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6177.7331 - 6183. Round r to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14543658 (base 10) in base 6?\nAnswer: -1235415430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*(sqrt(425)*2 + -2)*-1)**2 + 5.\nAnswer: -1440*sqrt(17) + 61349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n. Let d(k) = -k**2 - k. Let v(i) = -i**2 - 2*i. Let m(c) = c**3 + 5*c**2 + 2. Let o be m(-5). Let w(j) = o*d(j) - v(j). Determine b(w(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 1772130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 178759 + -3\nAnswer: 178756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/4446 and 121\/74100.\nAnswer: 222300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4022 and 24.\nAnswer: 48264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*d + 20230, -46543 = -3*d - 2*z - 16198. Is d a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7820 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 394053?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -44505 divided by 8901\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -188*a**3 - a**2 - 26*a - 26. What is g(-1)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + 6 - (2 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:34 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77862817?\nAnswer: 19, 4098043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:47 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 18992*x**2 - 208915*x + 35. Calculate f(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2066360 - 2066360 - 557*v as t + g*v and give g.\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 590 divide 17603237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180356 is divided by 178753?\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**4 + 0*c**3 - 17*c + c**3 - 3*c**3 - c**2 + 3*c**3 to the form d*c**3 + j*c**4 + y*c + f + l*c**2 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*s + 126 = -54*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2*sqrt(720))*-6)**2 - (2 + ((sqrt(720) - sqrt(720)*-1) + 1)**2).\nAnswer: 3408*sqrt(5) + 100941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - -55. What is the greatest common factor of 100 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11669.58373 rounded to 0 dps?\nAnswer: 11670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 3, 0.1, 2 in increasing order.\nAnswer: -3, 0, 0.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 + 82*x + 130. Calculate b(29).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddvdddvpp. Give prob of picking 1 d and 2 v.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**2 + 9*b. Suppose -22*w + 36 - 131 = 37. What is c(w)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**4 - 13*l**4 + 0*l**4 + (-2*l - 7*l + 0*l)*(4*l**3 - l**3 + 0*l**3) + 0*l**2 + 3*l**4 + 0*l**2.\nAnswer: -31*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 0 + 0 - 5*p**2 - 5*p. Suppose -6*z + 2*v - 2 = -3*z, -3*z - 22 = 2*v. Let b be l(z). Solve 3*c = h + 3 - 0, -b*c + h + 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m*o**2 - 69*m*o - 11*o**2 - 6*o wrt m?\nAnswer: -2*o**2 - 69*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 51\/9 - 4\/6. Suppose 3*p - 10 = -h*b, -4*b - 2*p = -2*b. Let y(a) = a**3 + 6*a**2 + 11*a + 55. Let x be y(-5). Solve -b*d + 0*d + x = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 75. Let r = -39.1 - w. Let j be 3\/18*0 - (-2)\/8. Sort j, r, 1.4, -4\/9.\nAnswer: -4\/9, r, j, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892849667?\nAnswer: 8287, 107741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 30\/6) + (21 - 13). Solve 3*b = -2*o + v, -39 = -13*o - 2*b - b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2285)\/(-65) + 4\/(-26).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -15*a + 10*a - 15, 5*a - f = 15. Suppose 0 = -p - 5, 2*i + 0*p - 2 = -a*p. Solve -i*v - 4 = -10*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 113 = 5*w - 42, 234*w + d + 151 + 78 = 27*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1146, -647, -3.\nAnswer: -1146, -647, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 39*w**2 + 3*w + 122. Let u be i(-39). What is the greatest common factor of u and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450884.\nAnswer: 2, 7, 16103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 98152027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*1\/((-2)\/4*1). Solve 0 = -p - 4*g - a, 0*p - p - 4 = 3*g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -683309\/20 + 34181. Let a = -43\/4 + f. Factor -4\/5*d**2 + a - 4*d.\nAnswer: -4*(d - 1)*(d + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1297*g - 16871 - 4*g**2 - 1884*g**5 + 16871 + 4*g**2 wrt g?\nAnswer: -37680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -25*f - 51 - 60 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*g + 89. Solve 3*d = -5*z - 2*d + 15, -3*d - g = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-7) - (-90)\/21. Suppose 0 = t*m - 1 - 7. Suppose -l - m*d = -12, 4 + 0 = -l + 2*d. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:16 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517400917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463 = 9*k - 22*r + 84, 3*k + 4*r + 25 + 30 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30369619.\nAnswer: 7, 19, 389, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5 - 17 = 4*d, -d = 4. Suppose y*z - 7*z - 15 = -2*o, z - 105 = -5*o. Suppose 0*h + o = 5*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*a - 6*a + 21*a)*(4*a - 3*a**3 - 4*a).\nAnswer: -141*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*l + 5*k, -2*l + 2 = -3*k - 2. Suppose -l*y + 430 = 1425. What is y rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29.5 - 29. Let m = -38 - 52. Let z = m - -78. What is the third biggest value in 4, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/13 (b) 538 (c) 5 (d) 2\/5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 32, -0.2, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 644, 658, 672, 686, 700?\n\"Answer: 14*p + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 9:39 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5470489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15 - -16)*(-6)\/(-4). Which is the second biggest value? (a) -5 (b) 0.2 (c) j (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.4 + 4. Let k = -62 - -67. Which is the third biggest value? (a) l (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/4 - 3*m**2\/4 + 4*m - 3 = 0. Calculate m.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21093 divided by -4.\nAnswer: -21093\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -134, 3, -5.26, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s - 55*s - 4*x = -31*s - 20, x = 5*s + 11 + 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -58*p + 2092. Let u be j(36). Put u, 5, 20, -3, -5 in decreasing order.\nAnswer: 20, 5, u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -40, 0, -0.6, -2\/9, -0.07, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/3)\/h)\/h*h)\/h)\/h*h\/h**(2\/3)*h**6*(h\/h**(-1\/5))\/h assuming h is positive.\nAnswer: h**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 19. Let b = 7 - z. What are the prime factors of -1 - (-14 - (-3 - b))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 68?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 7. Let v be (((-4)\/3)\/(3\/(-9)))\/l. Solve 4*j = -3*y - v + 21, -4*y + 15 = -5*j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -392935 - -392937. What is o in -14\/5*o**c + 0 - 12\/5*o = 0?\nAnswer: -6\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 112051.3103 to the nearest 10.\nAnswer: 112050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - n**2. Let k(t) = -16*t**3 + 12*t**2 + 2*t. Calculate -12*h(v) - k(v).\nAnswer: 4*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2.5. Let g = m + 0.71. Let n = 0.09 + g. What is the third biggest value in -0.02, 1\/9, n?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7840703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25\/3, -5\/6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/20 - 4*j**2 - 8. Let x(p) = -p. Calculate x(a(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 81189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 5*n**3\/3 - 14*n + 10. Let z(x) be the first derivative of w(x). Let h(u) = -39*u**2 + 76*u**2 - 39*u**2. Give h(z(j)).\nAnswer: -200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 23299*i**3 + 135512664*i**2 - 2308773636*i + 9785445408.\nAnswer: (i - 9)*(i - 8)*(i + 11658)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/2*o + 1\/2*o**2 = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*t - 14, -7*s - t + 13 = -2*s. Solve -s*b = -3*g + 15, 3*b = 2*g + 2*g - 17 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6251212 divided by -284146.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228573 and 13734?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1906771, 3813542, 5720313, 7627084?\nAnswer: 9533855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2389.\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 19*t + 211. Let v be i(-19). Sort 46, v, 4 in descending order.\nAnswer: 46, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*2\/8 + 4. Suppose c - 11 = 3*o, -w*c + 5*o + 15 = c. Let u(s) = -1 - 10*s + 9*s - 4*s**2 + 5*s**2 - 11*s**3. What is u(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 4*n + 2. Let x be f(2). What is the remainder when 6 is divided by (2 + 1)\/(x\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*p**3 + 390*p**2 + 40*p = 0. Calculate p.\nAnswer: -4, -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -19 - 5 - (-115 - (-34 + -1))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/(22 - (0 + 23)). Solve -12 = u*y + 69 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -395626.76199918 - -395626.8. Let o = -0.038 + q. What is o rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3 + 41\/(-15))*2005\/(-5614)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1104*m**2 + 1103*m**2 + 0.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13232 - 2210?\nAnswer: -22102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 p, 1 f, and 1 l when four letters picked without replacement from {l: 1, g: 2, p: 1, f: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000419 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a - 7. Let p be x(-5). Let i = p - -41. What is the units digit of (-4)\/14 + 200\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-1)*(1 - 0). Solve k*r = -5*w - 0*w - 20, 2*r - 4*w = 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a centimeter in micrometers?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 - 64 - b + 89.\nAnswer: -b + 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 + 142. Suppose -8*c + 4*c = 5*x - 221, -4*c + a = 4*x. What is the remainder when x is divided by 245\/(-15)*30\/(-35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838796 is divided by 2190?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/51 and ((-6391)\/(-495))\/7 - (-2)\/(-3).\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 w when three letters picked without replacement from krxkrmwnxmmmwm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 174 - 6 = 0. Calculate the remainder when 223 is divided by -10*((-162)\/12)\/h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 6, m: 3, p: 4, q: 1, e: 4, x: 2}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100672 and 3692?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*c - 1. Let n(w) be the second derivative of -3\/2*w**2 - 1\/6*w**4 + 1\/2*w**3 - 1\/20*w**5 + 0 - 133*w. What is n(c)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2032014.3 months?\nAnswer: 169.334525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 m, 1 f, and 1 n when four letters picked without replacement from bbmmbfnmbbssmsbsmm.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 747*h**3 + 45*h**2 + 45*h + 45. Let m(s) = -2*s**3 + s**2 + s + 1. What is 2*k(r) - 90*m(r)?\nAnswer: 1674*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -39) + (16 - (2 + 31) - -27)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 3*h + 2*v, 0 = 393*h - 397*h - 3*v - 44 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 52\/5 of a micrometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from frrfffdfdrbrd?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -45*d**2 - 2*d + 2. Let o = -54 - -56. Let t(j) = -990*j**2 - 45*j + 45. Let v(l) = o*t(l) - 45*u(l). Let a(k) = -2*k. Calculate a(v(x)).\nAnswer: -90*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 40210 (base 7) to base 9\nAnswer: 14277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**3 + 7*x**2 + 53*x + 325. Determine p(-5).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 equal to -873778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 0*n - 5*n**2 + 0 + 1\/180*n**6 - 1\/12*n**4 + 0*n**5 - 1\/2*n**3. Let w(g) be the first derivative of q(g). Factor w(c).\nAnswer: 2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = 3*w. Let d = -51 + 50.9. Let n = 4.6 - 5. Put 0.3, n, d, w in descending order.\nAnswer: w, 0.3, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 305 - -194. Let i = t - 194. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 883*a**2 - 1211*a - 1210. Is u(-1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {l: 5, j: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.04, 5, 4, -1, -3\/22, 3\/4, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138300 and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1032 divided by 6.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -33, -0.4 in ascending order.\nAnswer: -33, -0.4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -6 - (-3 + 1). Let j(n) = -5*n - 1 + 5*n**2 + t*n. Let y be (-2 - (-5)\/3)*(57 + -60). Give j(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1564200 and 28440?\nAnswer: 1564200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2320*n**6 - 15 - 1 + 8 + 6 - 248*n**2 wrt n?\nAnswer: 278400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.048 (b) -10752\/305 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2525123*i**2*l**3 - 3*i*l**3 - 10758*i + 5 wrt i.\nAnswer: -5050246*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22, -93, -214, -385, -606?\n\"Answer: -25*h**2 + 4*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = o - 17, 51 = 5*g + 3*o + 16. What is the nearest to 1\/2 in 0.4, g, 3\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -11*x**2 - 58*x. Let j(r) = -14*r**2 - 58*r - 1. What is 4*j(h) - 5*z(h)?\nAnswer: -h**2 + 58*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*-4*(-1 + ((1 + -1*sqrt(117)*3 + sqrt(117) + sqrt(117))*3)**2).\nAnswer: -12730 + 648*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -68. Let w be ((-8)\/o)\/(1*(-1)\/2). What is the second biggest value in w, -5\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*r - 203 = 18*r. Suppose -r*a + 202 = 188. Solve a*j = -4*n + 28, 3*n - 5*j = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100376 or 100378?\nAnswer: 100376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -7*b + 1. Let d = 1.7 + 0.3. What is the closest to -2 in d, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 1887, -2\/13, -5, 2, -3, -1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -7 - 17. Solve 5*i - 32 = -3*o, -5*i + 0*i + p*o = -4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 3*p + 3*p)*(0*p - p - p) + 0*p**4 + 3*p**4 + 2*p**4 + 8*p**4 + 2*p**4 + 0*p**4.\nAnswer: 19*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from tttgtqwwwgw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 12*n - 17*n. Find the third derivative of 37*d**2 - n*d**3 + 43*d**3 - 69*d**3 wrt d.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1207 is divided by 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1454 + -932. Calculate the greatest common divisor of 290 and n.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**10\/181440 - t**9\/90720 - 5*t**4\/6 - 7*t. Let c(b) be the third derivative of k(b). Find w such that c(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.1, -0.2, 438, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437 = -r + 4*v - 101, -4*r + 1325 = 3*v. Do r and 332 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 - 66. Suppose 2 = -5*h - 8. Let k = -1 + 1. Sort h, k, m in descending order.\nAnswer: m, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.18 (b) -647 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 7, 2, 306883.\nAnswer: 2, 7, 24, 306883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -58, -4?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 35*z**2 + 5*z. Let d be f(4). Suppose 2*c - 334 = 5*g, -4*g + d = 5*c - 222. Calculate the highest common factor of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5 - 107105*j**4 + 321250*j**3 + 428420*j**2 - 1285080*j = 0 for j.\nAnswer: -2, 0, 2, 3, 21418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 820 divided by -6.\nAnswer: -410\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*h + 22, -h - 4*h + 23 = -y. Suppose 6 = 2*s - 0. Solve -3*u + 4*i = -26, -s*u - y*u = -i - 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j - 21. Let r(m) = -2*m + 11. Let d(o) = -4*f(o) - 7*r(o). Let g be d(2). Which is the second smallest value? (a) 1\/6 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -52*v**3 + v**2 + 3*v + 1. Let b be k(-1). Suppose -b*n - 12 = -55*n. Suppose -4*i + 2*i + 4 = 0. Put n, i, -3, -5 in ascending order.\nAnswer: -5, -3, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 18*a - 16. Let p be g(1). Solve 3*f = f - 2*q, -5*f + 21 = -p*q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 47*y**2 - 116*y - 1539. Give h(50).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*z - 33 = -35 + 197. Suppose -5*h - a = -10*h + 4, 20 = -5*a. Suppose 0 = -h*g - 2*g + 2. Solve -z - g = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7214342 is divided by 450895?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 3*c - 5*c + 5*c - 2*c**3 - c. Let o(z) = -8*z**3 + 9*z**2 + 9*z. What is 2*o(b) - 9*q(b)?\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 9364*r + 1 - 3383*r - 3 + 3.\nAnswer: 5981*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 + 58*f**2 - 36*f + 50. Let z be o(-30). Round z to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22, 142, 368, 718, 1210, 1862, 2692, 3718?\n\"Answer: 3*o**3 + 35*o**2 - 6*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2 - 204107*f - 253842 wrt f.\nAnswer: 4*f - 204107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3197 + 6145. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806055?\nAnswer: 3, 5, 17, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -6. Let x = -0.3 + 0.1. Let j = -1.9 + -1.1. Which is the second biggest value? (a) j (b) x (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14207 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4056 and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let o(k) = -3*k + 0*k - p*k - k. Let q(x) = x. Calculate q(o(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 = -t - t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 7*r**2 - 8*r + 4. Calculate k(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22612 (base 7) in base 12?\nAnswer: 3427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2 - x + 8*x - 5*x - 3*x. Let n be r(-7). Solve -9 = n*m - 8*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x + 46*x = -8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -958.16 - -975. Let m = 16.9 - k. Which is smaller: 12 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 719\/39 - 75\/13. Let p(x) = -x - 17. Let o be p(-13). What is the common denominator of o\/(-12)*219\/(-6) and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 0. Suppose -7*t = -832 - 428. Calculate the remainder when t is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**3\/3 - 4*i**2 - 4*i - 251. Give q(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -28.2. Let w = -0.389 + 2.189. Let u = w - x. Sort 0.2, 2\/3, u in increasing order.\nAnswer: u, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*m + 42*m - 86*m - 8 to h + a*m and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p - 3. Let u be b(3). Suppose -x + 6 = -2*x. Let l = x + u. Solve l = 3*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 424050.879 from 0.99817.\nAnswer: -424049.88083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/25*(-4066)\/6 + (-12)\/(-60). Which is smaller: -812 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, -360637, -2\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 24*j**2 + 27*j = 0.\nAnswer: -9\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.137438857601 + 797.862556972399. Let v = l + -798. Round v to 7 decimal places.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000001110 (base 2) to base 14\nAnswer: -7ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 0 - (-14 + 18). Let p = m - -5. Let n(j) = 37*j**2 - 4*j + 3. Is 8 a factor of n(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 - 2.91. Sort 1, -13, 1\/5, f.\nAnswer: -13, f, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/4)*z*z*z*z**(-5)*z*z*(z**(-1))**(29\/4))**29 assuming z is positive.\nAnswer: z**(-377\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -23*v**2 + v + 10. Let r be x(-3). Let j = -194 - r. Calculate the lowest common multiple of 126 and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127.006 + 0.006. Let r = l + 126.99601. Round r to four decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365271099 is divided by 285?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 = 8*d - 220. Suppose -m = -3*o + 77, 2*m + d = 3*o - 19. What is the derivative of -10*w - o - 17 + 5 + 29*w wrt w?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625575180.\nAnswer: 2, 3, 5, 17, 43, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1322 + 113110433?\nAnswer: 113112155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(13\/6)*r**4*r**(-3)*r assuming r is positive.\nAnswer: r**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (sqrt(700) - sqrt(700)*-3))*3 + -1*sqrt(700)*4)**2 + -4.\nAnswer: 118296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, 2\/11, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -52. Let y be 35\/c*4\/7. Let f = 3016 - 2995. Sort y, -1\/7, f.\nAnswer: -1\/7, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -248, -267, -302, -359, -444, -563, -722, -927?\n\"Answer: -a**3 - 2*a**2 - 6*a - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6 = -3*t - 0, 2 = t + 2*w. Suppose 20*n = -22 + 142. Solve -t = p + 3*b, -b = p - 6*b - n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166630936*r**2 + 65*r + 5885640 wrt r.\nAnswer: 333261872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 j when four letters picked without replacement from ljkbkjbbilbbikkibbj.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.181*3.4\nAnswer: 0.6154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7762 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/4 of a day?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0388441+-420\nAnswer: -419.9611559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -115356 and -636.1.\nAnswer: 73377951.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -c41045?\nAnswer: c41045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72135677.\nAnswer: 72135677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9490344.\nAnswer: 2, 3, 395431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -535, -1174, -1927, -2788, -3751?\n\"Answer: i**3 - 63*i**2 - 457*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(-w + 0*w + 0*w) - 2 + 2*w + 0*w + w.\nAnswer: 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-18)\/(-6)*1041\/347?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-225)\/10)\/(-9)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144422 + 321?\nAnswer: 145143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*x + 124. Let i = x - 10. What is the remainder when i is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 6*k + 30. Let r be z(-10). Suppose -2*x = -r - 4. Suppose -81*o - x = -82*o. What is the remainder when 219 is divided by o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -511435 - -511436.881746. Let h = 1.88 - w. Round h to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244976 divided by -2?\nAnswer: -122488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*sqrt(25)\/(sqrt(5)*2).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8316.328 tonnes to nanograms.\nAnswer: 8316328000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m**3 + m**2 - 4 - 8*m**3 - 3*m**3 to the form z + p*m + n*m**2 + g*m**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = -6*c + 29767. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**2 + 54*n - 3. Let h be p(-11). Let q be (4 + 42\/(-9))*(-12)\/h. Solve 11 = 12*o - q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 224\/(-196) - (-25118)\/22211\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let m = -6 + 14. Let v be n(m). Let x = 18 + v. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2055.75442394 from -0.04.\nAnswer: 2055.71442394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 550877.6 days?\nAnswer: 793263744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 0, -5 in decreasing order.\nAnswer: 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-r + 3*r + r)*(0 + 0 - r**2) - r**2 - 2*r**3 + r**2)*(-3*r**2 + 2*r**2 + 6*r**2) + 14*r**5 + 14*r**5 - 12*r**5.\nAnswer: -9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30271711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*c - 711969 = -149274. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (4 - 4) - 0. Let g be 1\/((3\/5)\/(-10 - -13)). Solve 10 = -g*f - q*m - 2*m, -4*f + 3*m = 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.649989 centuries in years?\nAnswer: 464.9989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 19*v**2 - 10*v - 4. What is g(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370, -1363, -2984, -5239, -8134, -11675, -15868, -20719?\nAnswer: -26234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 0 + 3\/(-18) + (-2235)\/(-18)?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1689879 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -19. Suppose -7*s - j - 246 = -t*s, 3*j - 262 = 5*s. Let h = -5 - s. Solve -6*q = -5*d - 2*q - 5, 0 = -5*d - 4*q - h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 120*k**2 + 65*k + 65. Let y be 6\/(-21) + 80\/(-14). Let a(o) be the first derivative of -11*o**3\/3 - 3*o**2 - 6*o + 8. Calculate y*q(t) - 65*a(t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -51038, -102051, -153070, -204095?\n\"Answer: -3*g**2 - 51004*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/14)\/((10\/2)\/35)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1720 - -2061. Calculate the remainder when p is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 24597.81ms?\nAnswer: 24.59781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.043, -0.4177, 2?\nAnswer: -0.4177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from jljjjtltjtjtjtttjj.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -35748860 (base 9) to base 15\nAnswer: -17eb073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242, 419, 572, 689, 758, 767?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1263793.\nAnswer: -3\/1263793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.37121 * 2.\nAnswer: -8.74242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -5 + -25 + 10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 3*m + 2*m + 0*m - 3*m + m + (-3 + 6 - 4)*(m + 2*m - 2*m))*(-2787 + 1047 - 1458) as t*m + w and give t.\nAnswer: 6396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23886 is divided by 259?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1612*s**3 - 10*s - 3*s**2 - 19*s**2 + 801*s**3 + 797*s**3 - 2*s**4.\nAnswer: -2*s*(s + 1)**2*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/432 and 77\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 7*m + 28 + 2*m**2)*(-49*m - 14*m**2 + 49*m).\nAnswer: -28*m**4 + 98*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b + 13437 - 4057 = -653*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vqvv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:39 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 6, i: 3, f: 3, u: 1}. What is prob of picking 1 i and 1 v?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 3:37 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 + (-4)\/(-6). Let u be -1 + (2\/(-17) - (-8)\/68). Which is the closest to u? (a) 0.5 (b) f (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -4)\/(-64 + 63). Which is greater: r or -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*n + 759 = -563, -1308 = -4*o - 4*n. What are the prime factors of o?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -1\/15*v**4 + 0*v + 0 - 4\/15*v**3 + 7*v**2 - 1\/150*v**5. Let q(k) = 0. What is k?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (14 + -22 - -14).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -818.\nAnswer: 1\/818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 41, 2\/23, -124, 27, -3\/2 in increasing order.\nAnswer: -124, -4, -3\/2, 2\/23, 27, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiii when four letters picked without replacement from {o: 2, i: 3, a: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/248160 and 13\/18612.\nAnswer: 744480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 10:28 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331 divided by 29454.\nAnswer: 331\/29454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (0 + -1) - -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 12347794.626\nAnswer: 12347756.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**3 + 145425*n**2 + 3630999*n.\nAnswer: 24*n + 290850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*q - 15. Let k = -11 + q. Suppose c + 16 = 5*o, -k*o + 20 = -2*c + 6. Put 1\/3, c, -0.1 in decreasing order.\nAnswer: 1\/3, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3 = -s - 0, 0 = -5*s + 4*j - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o**3 + o**3 + 0*o**3)*(-1 + 1 + 4*o) in the form b*o**4 + r*o**2 + h + y*o + k*o**3 and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrvkerb. What is prob of picking 1 e and 2 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - t**2 + t. Let o(f) = 10*f**3 + 5*f**2 + 7*f. Let c = 83 + -87. Let m(l) = c*g(l) - o(l). Find the second derivative of m(i) wrt i.\nAnswer: -36*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597340 - 12*x - 298679 - 18*x - 298661.\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2080708 - 2?\nAnswer: 2080706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**3 + 5*c**2 + 5*c - 15. Let p(r) = r**2 + r - 1. What is b(w) - 5*p(w)?\nAnswer: -4*w**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*u - 380, -3*y = 2*y. Let z = 100 - u. Solve -z*r - 1 - 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61 - 4123?\nAnswer: -4204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12429 - -25979\/2. Let k = b - 11303\/20. Let m = -2\/7 - 3\/14. What is the common denominator of k and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 599\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*n + 2*n. Let c(a) = -a**2 + 16*a - 14. Suppose -2*w = 4*t - 50, -w + 2 = t - 8. Let r be c(t). Sort n, r, -0.4.\nAnswer: -0.4, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18314419 to the power of 1\/2, to the nearest integer?\nAnswer: 4280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74817.94l?\nAnswer: 74817940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.17 + 0.67. Let q = -0.1 + i. Which is the second biggest value? (a) 0.2 (b) q (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -5*d**4\/2 - 14*d**3\/3 - 7*d**2 + 1. Let a(m) = 2*m**3 + 3*m**2 + 3*m. Let x = -206005 - -206008. What is x*q(f) + 14*a(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -174*p**2 - 3*p. Let b(d) = -939*d**2. Determine q(b(v)).\nAnswer: -153419454*v**4 + 2817*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 9*j + 10*j**4 + 18*j + 6*j**4 - 17*j**4 - 4*j**2 - 12*j + 2*j**3 in the form k + b*j**2 + z*j + f*j**3 + g*j**4 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**6\/120 - a**5\/15 + 7*a**3\/6 - 305*a**2\/2 - 11*a - 2. Let y(t) be the first derivative of k(t). Calculate y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 2*l**2 - 5*l + 2. Let a be y(3). Let f = -1270 + 1268. Put 7, a, f, -3 in decreasing order.\nAnswer: 7, f, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35789692 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25704 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) -0.2 (c) 0.083 (d) 0.1199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26652326*b**4 + 13815485 wrt b?\nAnswer: 106609304*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-30))\/((-63)\/(-210)). Which is the second smallest value? (a) 1 (b) -1\/38 (c) m (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10992620\/9 - -1221404. Let 4\/3*j**4 + 0 - 2\/9*j**5 - 8\/3*j**3 + 0*j + i*j**2 = 0. What is j?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3943, -7856, -11721, -15532, -19283, -22968?\nAnswer: -26581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132378?\nAnswer: 2, 3, 22063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 9*s - 3*s + (-3*s + 0*s + 2*s)*(1 - 2 + 0) + 3*s + s + 12*s - 3*s + s + 0*s.\nAnswer: 23*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -54285746.6182 + -0.03?\nAnswer: -54285746.6482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 7, 15 in descending order.\nAnswer: 15, 7, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**4\/12 - 355*z**2. Let w(t) = 542*t. Calculate w(g(d)).\nAnswer: -1084*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*x**4 + 0*x**4 - 336 - 9*x**4 + 334 + x**2 in the form o*x**4 + y + v*x**3 + b*x**2 + d*x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 1 + 4*u + 0*u)*(-3 + 2 - 2).\nAnswer: -3*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**3 + 5*n**2 - 5*n - 5. Let j(z) = z**3 + z**2 - z - 1. Suppose 7*h + 40 = 3*h + 4*i, -2*i = -3*h - 25. What is h*j(u) + g(u)?\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 4*u + 525. Suppose 0 = 3*d + z - 145, 3*d - 8*z - u = -3*z. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, i: 1, m: 4, v: 5, s: 1, r: 2}. What is prob of picking 1 r, 1 v, and 1 i?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 100681*p**3 - 22135.\nAnswer: 302043*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 76 - 20. Let w be (-54)\/(-14) + 152\/(-14) + 11. What is the derivative of 2*p**4 - w + j*p**3 + 3*p**4 - 56*p**3 wrt p?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (33\/(-11))\/(3 - 4) - -5665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -92, -48, 30, 148, 312, 528?\n\"Answer: d**3 + 11*d**2 + 4*d - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12108 + 5337?\nAnswer: 17446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/6*(-13)\/(-100). Let s = -1\/40 + q. Let r(u) = -u**3 + u + 1. Let n be r(0). Which is the closest to n? (a) 5 (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*h - 10, 3*h = 4*c + 106. Let r = c + 58. Calculate the remainder when r is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 531161 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nooananoononanoan. Give prob of picking 2 n and 1 a.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47500784.2 and 0.2?\nAnswer: 9500156.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/4 + 78\/24. Suppose 0 = -2*s + s + 3*j - 92, -296 = u*s + j. Let l = s - -154. Is l a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13997)\/(-6) - (-50)\/300 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1290*l**2 - 1322*l**2 - 1321*l**2 + 3921*l**2.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.57 - 1.89. Let u = -0.38 + m. Let n = u + 1.9. Sort n, 1, -0.5 in decreasing order.\nAnswer: 1, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171*c**3*d**2*q + c**3*d - 73*c**3*q**3 - 86*c*d**2*q**3 + d**2*q - d**2 + 2*d wrt q.\nAnswer: -438*c**3*q - 516*c*d**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 229*y**2. Let v(h) = -2*h - 3. Let w(s) = -15*s - 21. Let c(q) = -7*v(q) + w(q). What is m(c(j))?\nAnswer: 229*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 - 6*j + 12. Calculate l(-8).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4318937213 to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 33*l**2 - 3*l + 8. Let u(p) = 10*p**2 + 1. Let i(j) = -s(j) + 4*u(j). Let w(c) = -8*c**2 - 4*c + 5. Calculate -7*i(q) - 6*w(q).\nAnswer: -q**2 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(80) + 1*sqrt(80))**2 + (sqrt(80) - (sqrt(80) - (sqrt(80) - (0 + sqrt(80))*5)))**2*-6.\nAnswer: -7360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -33, -73, -129, -201, -289?\n\"Answer: -8*k**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*x - 39*x - 83*x.\nAnswer: 393*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-12)\/9*10)\/(2\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**7*i*i*i*i*i**0\/i)\/(((i**(-7)*i*i)\/i)\/i**2) assuming i is positive.\nAnswer: i**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 21 = -5*r, 0*r + 3*r - 15 = -3*l. Solve -w = w - l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9666560927 rounded to three decimal places?\nAnswer: 2.967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42853813 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 499, 5 in increasing order.\nAnswer: 1, 5, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-2)\/(-1)) + (-9 - -4). Let f(t) = -t + 1. Let w be f(m). Suppose j + 6 = w. Solve -r + 4 = -4*r + j*p, -2 = -2*r + 5*p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 2*z + 6. Let w be q(0). Suppose 0*m + w = -6*m. Sort 1, 13, m, -2 in ascending order.\nAnswer: -2, m, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/65 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(0 + 1)*3. Suppose 0 = 5*k - 0*o + o - 32, 3*k - 28 = -5*o. Calculate the greatest common factor of k and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3732181+3\nAnswer: 3732184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/((-18)\/(-452)) - (-1 - 3). Let p = c + 222. Solve -z + 5 = p, -4*k + 8 = -5*k + z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75.3 - 75. Let m be -1 + 3 - 6\/4. Is j >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -3) + (6 - 23).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/39910 and -1\/20.\nAnswer: 79820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 67, 185, 411, 781, 1331, 2097, 3115?\nAnswer: 4421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -462 + 467. Suppose -3*l - v*k + 253 = 0, 11*k - 16*k + 167 = 2*l. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(117)*6)\/(sqrt(1296) - (sqrt(1296) + -2*4*sqrt(1296) + sqrt(1296))))**2.\nAnswer: 13\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**6\/120 - v**5\/15 + 5*v**3\/6 + 2*v**2. Let f be k(-4). Suppose -2 + 12 = f*s. Is s less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 19*q + 8 = k, 0 = 5*q - 5*k - 10. Suppose -4*m = 2*g - 40, 4*g - 8*m - 124 = -q*m. Solve g = -7*w - 7*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -87*q - 435. Calculate m(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (13 - 0 - (-139 + 150)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 3 - k**2 + 3.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5 - 23*p**4 + 441*p**3 + 643*p**2 - 3376*p - 5460 = 0. What is p?\nAnswer: -35, -2, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.85 take away -4461?\nAnswer: 4462.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901432 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/55, 2\/15, -0.2 in descending order.\nAnswer: 2\/15, -2\/55, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -1 + 83 + 2. Let k be r\/2 + (-1 - -1). Let g(l) = l**3 + 18*l**2 + 64*l + 291. Let v be g(-15). What is the highest common factor of k and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734 a factor of 1476979022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-80))\/(12\/(-60)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -40*d**2 + 6225*d - 56103. Determine b(9).\nAnswer: -3318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-123)\/2)\/(-41)*-10*((-1280)\/(-75))\/(-8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2093789913 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21873*x**2 - 333925*x**2 + 16549*x**2 - 93245*x**2.\nAnswer: -388748*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h + 49. Let f be i(9). Suppose -f = y - 31. What is the greatest common divisor of y and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12d0d6 (base 16) to base 15\nAnswer: 195575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000071431 rounded to six dps?\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -694, 42, 5, 1.\nAnswer: -694, -2, 1, 4, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*v = 4, 2*n = -0*v + v + 2. Let y be 2\/(17\/(68\/(-24))). Is n not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125149903*m + 5644237.\nAnswer: -125149903","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/103 in -2, 0.5, 7.8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 4*j**2 + j - 4. Let p be u(-3). Suppose -p*b = -4*b + 8. Suppose -2 = -b*q + 6. Solve -q*i - 15 = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 49.3.\nAnswer: -394.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*n = 4, 3*n - 9 = -5*a + 7. Suppose -5*w + b + 52 = 14, 10 = 2*w - 3*b. Solve 3 = a*v + 11, -4*c = -3*v + w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/8 and 49\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 3*y - 4. Suppose 0 = -4*g - 37 + 89. Let u(x) = g - 4 + 7*x + 2*x**2 - 4*x**2. Let j(w) = 9*s(w) + 4*u(w). Give j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43370 (base 9) in base 8?\nAnswer: -70101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k**5 - 44*k**4 + 59*k**3 - 24*k**2 = 0.\nAnswer: 0, 8\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 510400 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 704 - 700. Factor -2\/5*u**2 - 8\/5*u**r + 0*u + 2*u**3 + 0.\nAnswer: -2*u**2*(u - 1)*(4*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 4. Let l = 9 + -13. Let r be p(l). Suppose r = -3*u + 4*o + 302, 2*u - 3*o - 206 = 2*o. What is u rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 774 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.345 times -404?\nAnswer: -139.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 20*p. Let g(s) = -5*s - 22 + s + 0*s + 64 - 38. Give t(g(a)).\nAnswer: -80*a + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*z**3 + 0 + 0*z + 0*z**2 - 15\/2*z**4.\nAnswer: -5*z**3*(3*z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 11\/(-4))\/((-7)\/140). Is -372*(16\/(-40))\/((-12)\/z) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 8 + 2, -7*j = -2*z + 6*z - 40 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -4. Let h = g - -20. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {a: 1, p: 1, d: 2, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5247, 5227, 5203, 5175, 5143?\nAnswer: 5107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 5\/4*k**4 + 1\/4*k**5 + 0 - 26*k + 5\/2*k**3 + 5\/2*k**2. Find c such that l(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12 + ((-12)\/3 - -2). Let n = 27 + q. Let i(s) = -s + 37. Calculate the remainder when i(0) is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1562770?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(144)*2*-3 + sqrt(144)))\/(5*-2*sqrt(363) - (sqrt(363) + sqrt(363) + sqrt(363) + (-6*(sqrt(363) - -1*sqrt(363)) - sqrt(363) - sqrt(363)))).\nAnswer: 80*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n + 4*i - 2, 5*i = 10. Calculate the least common multiple of 10 and n*(-25)\/(-30)*4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1279866035 to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((0 + 0)\/1)\/2. Let p be 1*(19 - 1) + (39 - 37). Suppose -2*u + p = 3*c, -u + 8 = 2*c - c. Solve a = -c*v - v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**20*g*g)\/(g*(g*g\/g**13)\/g) assuming g is positive.\nAnswer: g**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54478\/129 or -423?\nAnswer: -423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11589?\nAnswer: 3, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 6*n**2. Suppose 0 = -81*d - 7*d - 264. Let y(l) = 2*l**3 - 7*l**2. What is d*y(q) + 4*i(q)?\nAnswer: -2*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366681922 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*((y\/(y**(-10)*y))\/y*y)\/y)\/(y**(-13)\/y))**(1\/10) assuming y is positive.\nAnswer: y**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 9*m**4 + 54*m**2 + 51*m**2 - 106*m**2 + 3*m**3 - 3 + 2 + 0 in the form f*m**4 + w + a*m**2 + g*m**3 + z*m and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 + 121. Suppose 2*q - 194 = w*t, 2*t + 266 = 4*q - 138. What is the remainder when q is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5451005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*c**2 - 441*c + 10*c**2 + 439*c + 16*c**3 - 2 in the form n + a*c + u*c**2 + l*c**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-484)\/6 - 6\/(-9). What is the common denominator of 11\/35*(-60)\/(-8) and (-44)\/(-6)*(-6)\/u?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 16 = 4*a + 10*q, -5*a + 31 = -2*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34275708.\nAnswer: 2, 3, 31, 30713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 265524755 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 641\/4 - 1353\/8. Calculate the common denominator of 73\/2 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 6\/537655591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/13 (b) 606 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 12, -16, -70, -156, -280, -448?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 50452458008 + -0.4\nAnswer: 50452458007.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 21. Suppose c*i - 3*i = -19. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 17 = 5*s, 0*k - 4*k + 7 = s. Suppose -164 = -5*q - s*o, o = -0*o - 2. What is the remainder when 67 is divided by q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o*o*o*o**(-3\/4)*o*o**0\/(o**(6\/5)\/o))**(-2))**(4\/9) assuming o is positive.\nAnswer: o**(-122\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(308\/(-80) + 4). Which is the closest to 0? (a) -5 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6779 is divided by 6350?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 12\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4502408.\nAnswer: 2, 59, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o*o**13)\/o)*o**(-3\/10)*o**(2\/7)\/o*o\/((o\/(o*o**0*o)*o)\/o) assuming o is positive.\nAnswer: o**(-771\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 h when three letters picked without replacement from {p: 1, u: 2, i: 1, h: 1, m: 5}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(10\/21)\/5. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -1742*m**2 - 1356*m - 392*m + 3662*m**2 - 361 - 265*m**3 + 1131 + 10*m**4 - 687*m = 0.\nAnswer: 1\/2, 1, 11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16, 22, 28?\n\"Answer: 6*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-10))\/(1422\/6320) + 64. Factor -40\/3*s - l - 2\/3*s**2.\nAnswer: -2*(s + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 18013060*b - 72052160.\nAnswer: -5*(b + 4)*(b + 3602608)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 467308728 from 3.\nAnswer: -467308725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 223100 and 2330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h + 1. Let n(f) be the second derivative of -1\/3*f**3 - 1\/12*f**4 - f + 3\/2*f**2 + 0. Calculate n(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161007722.6 rounded to the nearest 100000?\nAnswer: -161000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2. Let i(x) be the third derivative of 0*x + 4*x**2 + 0 + 0*x**3 - 7\/24*x**4. What is q(i(m))?\nAnswer: 98*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 6*k + 61536 = 61557, 3*k = -2*c - 35 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*h**5 - 126614*h**4*n + 2*h**4 + 1151*h**2*n + h**2 + 7980*h wrt h.\nAnswer: 600*h**2 - 3038736*h*n + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 + (-94)\/(-6). Let i be (-6)\/(-9) - (-194)\/6. Suppose 3*n - 9 = -n + 5*o, i = 3*n + 5*o. Solve -n*g = -3*g + h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -139, -125, -97, -49, 25?\n\"Answer: x**3 + x**2 + 4*x - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + 4 - 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3542 = 14*o. Let d = o - 43. Calculate the highest common factor of d and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -344 - -344.06. Suppose -2 - 93 = -19*z. Which is the closest to 0? (a) m (b) z (c) 1\/5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10 - 8*r + 8*r**3 + 2*r**2 + 8*r wrt r?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 11*h - 4. Let u be y(0). Let n(l) = 7*l - 4 - l - l. Let w(t) = 6*t - 5. Determine u*n(v) + 3*w(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 30 + 5 = -5*f, 2*f - 3*g - 21 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**5\/30 - l**4\/6 + l**3\/6 + 2*l**2. Let o be c(-3). List the prime factors of (-1 - o)\/(1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1677 times -18113?\nAnswer: 30375501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -15\/2*s**2 + 91 + 5\/2*s**4 - 20\/3*s**3 + 0*s + 5\/6*s**6 + 4*s**5. What is c in w(c) = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -343, -271, -211, -169, -151, -163, -211?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) -2 (c) -1\/3 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -105439292 divided by -2?\nAnswer: 52719646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000140637 to the power of 1\/3, to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18, 24, 76, 144, 234?\n\"Answer: h**3 - h**2 + 38*h - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2842297 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36346, -72691, -109036, -145381, -181726?\n\"Answer: -36345*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**7\/1680 - a**6\/45 - 49*a**5\/20 + 27*a**2 + 1. Let i(w) be the third derivative of n(w). Give i(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -184\/3*h**2 + 186 + 1\/3*h**3 - 125*h = 0.\nAnswer: -3, 1, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9765, 9766, 9769, 9774, 9781, 9790?\n\"Answer: n**2 - 2*n + 9766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.6 + -5. Let h = -4.4484 - -4.1484. Which is the third smallest value? (a) 2.2 (b) 1 (c) q (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-4)\/(-5 - -1). Let d be m - (6\/(-2 - 1) + 1). Let a(x) = 5*x + 1. What is a(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 41*i - 146. Give n(36).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.083 - 0.0943. What is r rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -10*o**3 - 39*o**2 + 4*o - 16. Let y(w) = -7*w**3 - 27*w**2 + 3*w - 11. Let p(g) = -5*c(g) + 7*y(g). What is p(-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, p: 4, v: 6, i: 4}. What is prob of picking 2 p, 1 f, and 1 i?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 53 - (-3 - (0 + -5)). Suppose 48*g = n*g - 168. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-281)\/281)\/((-28)\/(-20)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -24*k**2 - 9565*k - 19048. Calculate p(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4527153 + 43?\nAnswer: 4527206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 2160?\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h*y**5 - 15*h*y**2 + 68*y**5 + 2*y**2 - 3 wrt y?\nAnswer: 120*h*y**2 + 4080*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1998 - 462 = 6*u. Suppose 274 = 5*f + 3*m, -2*f + 3*m = 3*f - u. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/20 and 103\/154.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (71*l**3 + 28*l**3 - 12*l**3)*(0 - 4 + 3)*(3 - 3 + 2)*(-5 + 4 + 2) in the form s*l**2 + b*l + m + g*l**3 and give g.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -343? (a) 3 (b) -4 (c) -1 (d) 2 (e) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3700 and 662520.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by 52.\nAnswer: -33\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 120551?\nAnswer: -120560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16011 divided by 3\nAnswer: -5337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n - 10*n - 8*n)*(-2*n + n + 6*n) + (n - n - 2*n)*(-2*n + n + 0*n) to k + f*n**2 + c*n and give f.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*r - 10*r + 11 - 1 - 8*r as o + d*r and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1474 = -93*c - 4547 + 69 for c.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11499 + 11521 + v**3 + 2*v - 22946 as h*v + w + j*v**3 + m*v**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*f**4 - 13*f + 386.\nAnswer: -124*f**3 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0 + 70. Calculate the remainder when 103 is divided by o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*w. Suppose 0 = z + 4*v - 259, -5*z - 5*v + 760 + 505 = w. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00388869 rounded to four dps?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1 - 6 + 6 + 21*b**3 to h*b**2 + x*b**3 + p*b + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 12) to base 2.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1\/4, 404505, -28?\nAnswer: 404505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 9*c**2 - 3*c - 21. Give v(9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 2. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9989 + 26731. List the prime factors of a.\nAnswer: 2, 11, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:00 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3125*d**5 + 271625*d**4 - 1925130*d**3 - 2377190*d**2 - 180865*d - 3555 = 0.\nAnswer: -1, -1\/25, 9, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)*s*s\/(s**(-1\/10)\/s))**14 assuming s is positive.\nAnswer: s**(329\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*a*b*t**2 - a*t**4 + 2*b*t**3 + 3*t**4 - 10976*t**3 - 7540*t**2 wrt t.\nAnswer: -24*a*t + 12*b + 72*t - 65856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 12, k + 2*m - 2 = -10. Let v = k - -6. Suppose 3*g = v - 0. Solve -1 - g = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**3 - 6*m**3 + m - 2*m**3 + 3*m**4 - 2*m**2 - 4 + 15*m**3 to the form u*m + i*m**2 + o*m**3 + n + x*m**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 18429319?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142764428631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2240418 and 157470?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2*f = 2*f + 22, 0 = 5*t - 3*f - 34 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2201230234 (base 5) to base 11.\nAnswer: 2728758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6 + 6 = 0. Let o = 207\/4 - 209\/4. Which is the nearest to o? (a) 4 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -1 (b) 0.08 (c) 1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*f + 193. Let q = -23 - f. Solve 0*y + 4*y + 2 = -u, -5*u - q = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -489 and 2.\nAnswer: -978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 10*t**2 + 9*t + 4. Suppose -90 = 6*c - 16*c. Calculate v(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j - 7. Let t be h(-3). Solve -20 = 3*n - t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 8*k**2 - 7*k + 10. Let m be t(7). Let o be (12\/m)\/(6\/260). What is the highest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12349 is divided by 146.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 101*g**2 - 2*g + 7. Let h(x) = 102*x**2 - 3*x + 8. Let b(o) = -5*h(o) + 6*p(o). What is the units digit of b(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -105, -396, -875, -1536, -2373, -3380, -4551?\n\"Answer: z**3 - 100*z**2 + 2*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44528 divided by -1012?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 + 2*r + 2*r**2 + r. Let w be a(3). Let t be (w\/(-2))\/3*1. Solve f - 6*f = t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -299, -307, -315, -323, -331, -339?\n\"Answer: -8*n - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (412\/721)\/(108\/42)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 399007?\nAnswer: 399010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-320)\/(-56) - 6 - 188\/28?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 26 = -g + 38*t, 7*g - 6*t + 4*t + 42 = t for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-9383.\nAnswer: -938.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a14ac5 + 1?\nAnswer: a14ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccsscsccsssccsc. What is prob of picking 3 s?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**5 + 2*c**2 - 5*c. Let b(r) = -274*r**5 - 23*r**2 + 2999*r. Let i(h) = -b(h) - 6*q(h). What is the second derivative of i(u) wrt u?\nAnswer: 5360*u**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185899 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 52*a + 31*a + 2 - 31*a + 11 to the form h*a + y and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*u = 111*u - 3*h - 13, 5*u = -3*h - 41 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 2212 - 37*c**2 + 42*c**2 - 6*c**2 as w + t*c**3 + q*c + z*c**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.322 * -13161.9.\nAnswer: 4238.1318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 77\/(-22))\/((27\/10)\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from fjjjjjjjj.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2561*q**6 - 10*q**4 + q**3 - 1623*q**2 + 10. Let o(w) = -w**4 + 1. Let g(m) = k(m) - 10*o(m). What is the third derivative of g(h) wrt h?\nAnswer: 307320*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 304*a**2 - 287*a wrt a?\nAnswer: 608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 + 0*o**3 + 2*o**4 - o**3 - 2*o as c*o**2 + u*o**3 + b + w*o + d*o**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - (2 - -3))*4\/(-4). Let a be ((-3)\/(-18) - 2\/12)\/(-2). What is the closest to a in 5, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 14653485509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 83245619 to the power of 1\/3, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 13*v**2 - 29*v - 15.\nAnswer: (v - 15)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239428?\nAnswer: 2, 7, 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8856)\/(162\/(-9))*(-5)\/(-60).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.84 - 33.84. What is the second biggest value in 10, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/32)\/((-3)\/2). Let l = -40 - -38. What is the second smallest value in l, -3, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tda when three letters picked without replacement from {t: 1, d: 1, i: 1, a: 3, u: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0*i**6 + 0 + 0*i**3 + 0*i + 1\/21*i**7 + 0*i**4 - 17*i**2 - 3\/20*i**5. Find the third derivative of p(n) wrt n.\nAnswer: 240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -43*l**2 - 45413*l + 45413*l. Let j(k) = 9*k**2. Determine g(j(v)).\nAnswer: -3483*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 511001064 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17601553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 110 = 2*r, -5*b + 77 = 18*r - 22*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 = -n - 3*n. Let f = n - 72. What is the greatest common factor of 28 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147707?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1972.72 + 2130.1235. Let f = 5.4625 + a. Let x = f + -163. Round x to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13546*n + 24652*n + 1 + 24959*n + 16180*n - 17270*n.\nAnswer: 62067*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -204791552\nAnswer: -1\/102395776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -3. Let l(p) = p**3 - 12*p**2 + 12*p - 15. Let n be l(x). Are n and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631137?\nAnswer: 3, 13, 16183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61104568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 122 divided by -130?\nAnswer: -61\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -3) + (12 - (-6 - -12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 59. Let y be 5\/((0 - s)*175\/105). Let a be 9\/(-2) + (-1)\/(-2). Sort a, y, -2.\nAnswer: a, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/10*10\/(-2). Calculate the greatest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/1969 in 0.3, 2\/11, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 12, o = -2*o - 3*q. Suppose 0*m = o*m - 16. Find the third derivative of -4*v**3 - m*v**2 - 5*v + 5*v wrt v.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3\/7 + 201*p**2 - 97107*p\/7 - 10833849 = 0. What is p?\nAnswer: -377, -309, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/5*20\/(-6). Let k = 11.85 + -12. Let l = k + -0.05. Which is the closest to -1? (a) 0 (b) l (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21500 is divided by 378?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a tonne in kilograms?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49.14 - -36.94. What is the smallest value in -3\/4, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*q - 2*r + 203, -3*q = -2*r - 114. Is 1*(q - 9\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13453 - -1026?\nAnswer: 14512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 4)\/(1\/(-2)). Let l = b + 9. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -1195 + 1150 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - 2*u**3 - 3*u**2 + (-1 + 1 - 3)*(2 - 8 + 0)*(2 + 2 - 2)*(-u**2 + u**2 - u**3) to the form r*u**3 + k*u**2 + n*u + h and give r.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128214936*k - 102377288.\nAnswer: -128214936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + -2*((sqrt(48) + 1)**2 - sqrt(48)) + sqrt(48) + ((1 + sqrt(2352))*-6)**2 + 3).\nAnswer: 6036*sqrt(3) + 253845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*t + 3*t + c, -t + 3*c - 2 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 + -20?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 645.8461 litres to millilitres.\nAnswer: 645846.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 5:38 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1563.\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 377207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 5, 3*d + 6 + 8 = 2*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/1*((-64)\/8)\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 22. Suppose l = 2*g - m, 3*g + 2*l = -0*l + 32. Suppose -6 = -i - 1. Solve g + i = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - 21. Suppose y + 3 = 3*o + 42, -y + 54 = 2*o. Let n = i + y. Calculate the remainder when n is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9\/50 + -19\/50. Which is the closest to o? (a) -0.4 (b) 1\/5 (c) 17\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2548 or -2546?\nAnswer: -2548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1687 - 700.8313. Let j = g + 700.999846. What is j rounded to 6 dps?\nAnswer: -0.000154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 38, 54, 76, 104, 138?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 d when three letters picked without replacement from {d: 8, j: 3, p: 1, o: 3, c: 1, v: 2}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((-80 - -80) + 64).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97\/90 - 71\/45. Which is the third biggest value? (a) -1\/5 (b) 10\/93 (c) f (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -650, -1299, -1948, -2597, -3246?\n\"Answer: -649*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d - 8. Let z(s) = 2*s + 5. Let u(j) = -4*y(j) - 7*z(j). Let a be u(4). Solve 0 = i - p, -a*i - 6 = 2*p + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6745 and 285.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 94177234 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1887 - 1892. Let q be (2 - 0)\/((-1)\/2). Put q, n, 1 in descending order.\nAnswer: 1, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 1579. Let q(l) = 72*l. Give g(q(k)).\nAnswer: 15552*k**2 - 1579","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 748771 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**8\/336 - 317*o**6\/60 - o**5\/20 + 83*o**4\/24 - 16*o**3\/3 + 24*o**2 + 5*o + 3. Find the second derivative of g(i) wrt i.\nAnswer: -20*i**3 - 3804*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-570)\/(-90)*14628\/(-2014).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - 434\/(-49) - 1\/(-7). Solve -k = -3*b + 3*z - 1, -2*b + z + 3 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-12))\/(-6))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*u - 3 + (17 - 17 - 7*u)*(12 - 12 + 13) to z + r*u and give r.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3347 - -148. What is the greatest common factor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, t: 3, e: 3, x: 6, y: 1}. Give prob of picking 1 e and 1 x.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 21*g + 86 - 226 = 0 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -7*y + 2*y + 12, 3*w - 2*y - 9 = 0. Let v be w\/4 - 57\/60 - 0. What is the nearest to -1 in v, 3\/8, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Let m = 3 + -1. Suppose 0 = -20*t + 21*t - m. Solve x = t*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-3 + (-6 - -16))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 876*s + 5760*s**2 + 2597*s + 2171*s wrt s?\nAnswer: 11520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - z - 4 + 140.\nAnswer: z + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t\/(t**(-2\/23)\/t)))\/t))\/(t**2*t*t) assuming t is positive.\nAnswer: t**(-21\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470091*j = 470098*j + 616 for j.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 6\/(-4))\/((-24)\/64). Let v(o) = -o**2 - 8*o + 9. Let k be v(-8). Sort -1, z, k.\nAnswer: -1, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3473*y. Let j(k) = 37*k**2 + 25*k + 425. Let a(o) = 9*o**2 + 6*o + 102. Let t(l) = -25*a(l) + 6*j(l). What is u(t(v))?\nAnswer: -10419*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 21 - 41 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c**2 + 5*c**2 + 11*c**2 + 10*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51490 divided by -5?\nAnswer: -10298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*y - 2*o + 20, -3*y = 3*o + 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2139*m*w**3 + m*w**2 + m*w + 31*w**2 + 4*w wrt w.\nAnswer: 12834*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 30565860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65323.\nAnswer: 65323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*y + y. Let m be (-1 - (-2 - y))\/(-2). Suppose 5 = -t, m*r + t = 2*r - 25. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 39*m - 20. Let y be j(-4). Is y greater than or equal to -175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 2*a**4 + 12*a + 11 - 10*a + 19 to the form y*a**2 + f*a + t + w*a**4 + n*a**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2373163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1386.030468 + -3\nAnswer: -1389.030468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.9035 + -0.0165. What is t rounded to 0 dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 38*f - 1. Let j(k) = -k. Let b(p) = -c(p) + 4*j(p). Let o be b(-1). Let t = o - 31. Calculate the highest common divisor of t and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**3 + 12*p**2 - 6*p - 23. Let v(i) = i**3 - 2*i**2 + i + 2. Determine -u(q) - 6*v(q).\nAnswer: -9*q**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34 - 82 - 97)*(-2 + 0 + 0)*(4*u - 3*u - 2*u) in the form q + o*u and give o.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.1. Let z = 0.03 + w. What is z rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/14 - 24\/210?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**4\/12 + 3*u**3\/2 - 6*u**2. What is h(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589\/1108 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/19065 and 83\/75?\nAnswer: 95325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s. Let n(m) = 76*m**2 + 61*m**2 - 128*m**2. Give x(n(o)).\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 - 49 - 30)*(-1 + 1 + 2*p)*(-3*p**2 - p**2 + 0*p**2) - 2*p + 2*p - 8*p**3 + (p**3 - 3 + 3)*(-3 + 3 + 1) to d + f*p**2 + v*p**3 + w*p and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63 in -3\/8, 0.433, 0.2?\nAnswer: 0.433","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o**3 + 903*o**2 - 1176*o - 1188 = 0.\nAnswer: -2\/3, 2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i - 7. Let w(m) = 0*m + 10*m + 8 - 2*m - 2*m. Let y(a) = -7*f(a) - 6*w(a). Determine y(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/(-119) + 212\/371?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**11*u)\/((u**18\/u)\/u))\/(u*u**13*u)**20 assuming u is positive.\nAnswer: u**(-304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v + 486 = 22*v. What is the second derivative of 8*s**4 + 37*s**4 - v*s**2 - 3*s + 243*s**2 wrt s?\nAnswer: 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17846 is divided by 57.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**3 + 1. Let t be d(1). Let l(m) = -m**2 - 6*m - 2. Let k be l(t). Let x = k - 3. Solve 4*w - 5*o - x = -20, -3*o + 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (948 - -79)\/79 - (-5)\/(10\/68)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 6 - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -183875584*w**2 - 255882639*w.\nAnswer: -367751168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 - -4) + 64 - (-176 - -202)) + 6 + 0.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 32*a - 36*a - 5 - 0, -250 = -62*k - 3*a + 196 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 65332.03, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187320206 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -179 * -176329\nAnswer: 31562891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 13 = 39*w + 27 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 65*m**2 + 8388*m + 380. Calculate s(-129).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 17 + 7. Let v(x) = -x**3 - 4*x**2. Let d(a) = a**3 + 6*a**2. Give r*d(j) - 7*v(j).\nAnswer: 2*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10515, -19950, -29385, -38820, -48255?\nAnswer: -57690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 728.5907 minutes in nanoseconds?\nAnswer: 43715442000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 9*r - 8. Suppose -2*s = -3*s + 7. Suppose 5*o - 5*f = -45, 2*o + s + 1 = -3*f. What is the units digit of b(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 737 divide 21560935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1782.611797876 - -0.06\nAnswer: -1782.551797876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + m + 2*v - 946, -2*m = 4*v - 470. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 2, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 6:55 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(8\/2 + -2). Suppose 0 = -h*q + 3*q - 2. Let w be (-6)\/(-3) - (1 - q). Solve 2*m + 10 = i, -5*i - w = -13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1961? (a) -3 (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-325)\/(-45))\/(((-522)\/(-81))\/58)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -11*s**2 - 6*s + 4. Let x(b) = 22*b**2 + 13*b - 9. Suppose -58 = 5*f - 28. Give f*x(g) - 13*h(g).\nAnswer: 11*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4\/3 - 4*q**3\/3.\nAnswer: 4*q**3*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102816 and 925344?\nAnswer: 925344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -271 + 279. Solve y*b + 6 = 10*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 8*x = -3*x + 8, -3*x = f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-24)*(-1)\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (191\/29414*-77)\/(1\/2*29)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8129574 to the power of 1\/2, to the nearest integer?\nAnswer: 2851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 320828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 7076 = -5*m, 5668 = -4*m - g - 0*g. Let j = 2936 + m. Round j to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.636 + -2.6360020929. Round o to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhahnhhna. Give prob of sequence nah.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15846559 and 0.3.\nAnswer: -4753967.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179784 by -9.\nAnswer: 19976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -17. Let a = z - -33. What is the third biggest value in -71, -4, a?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w. Let t(i) = -120*i - 1. Determine t(f(j)).\nAnswer: 360*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 8*u. Let z be (34 + -35)\/(u - 1\/4). Solve -z*f + f - 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1 - -10.1. Let l = -0.1 + -3.9. Let a = h + l. Put 3, -3, a in descending order.\nAnswer: a, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**3\/6 + 13*f. Let g(z) = -2*z**2 - 1 + 1. Calculate g(q(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 187 (c) 3 (d) 5 (e) -2\/5 (f) -6\/13 (g) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5}. Give prob of picking 4 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 4756, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 + i**2 + 2*i - 1. Let y(j) = 38*j**3 + 10*j**2 + 454*j - 10. Calculate 10*u(p) - y(p).\nAnswer: 2*p**3 - 434*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.1, 2, 198, 13?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 + 4 + 14*t**2.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 303 - 283. Calculate the smallest common multiple of 110 and f.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 2:17 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2166 - -0.3834. Let o be (1 - (-1)\/(-2)) + (-1)\/3. Which is the third biggest value? (a) o (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 121*q**6\/15 - 351*q**4\/8 - 209*q**2 + 6*q. Find the second derivative of z(l) wrt l.\nAnswer: 5808*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(425)*-1*-5 + (sqrt(425) - 3*(-1 + sqrt(425) + sqrt(425))) - ((sqrt(425) + sqrt(425) + -1)*-1 - (3 + (sqrt(425) + 2 - sqrt(425)))))**2 + 3).\nAnswer: 420*sqrt(17) + 5256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 12 = -0*y + p, -y = -4*p - 10. Suppose -17*o = -18*o - 2, 5*m - 5*o = 35. Solve -y*l + m*z = -13, 2*l + 3*z - 1 = 4*z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1764.1, -0.1, 2\/3 in descending order.\nAnswer: 1764.1, 2\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 128*w**2 + 10*w**2 + 123*w**2 - 187.\nAnswer: 5*w**2 - 196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -d + 3*i, -3 = 3*i. Let n = -13 - -12.6. What is the nearest to d in n, 0.5, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 + 21 - 94 - 37*q - 11 to the form k*q + c and give c.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -m, 3*m + 6*k = 2*k - 14. Let n = 902\/9 + -100. Which is the nearest to 1\/7? (a) m (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by 351161.\nAnswer: 40\/351161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(12\/7)\/l**(13\/5)*l**(2\/7)*((l*l*l**(-9)*l*l)\/l)\/l assuming l is positive.\nAnswer: l**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 11) to base 12\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -13. Let n = l + 18. Calculate the smallest common multiple of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*d - 3292 = -6256 + 4212 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 0.1 (c) 3\/8 (d) -21 (e) -8334 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279905 is divided by 69975.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 317164 and 1036?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/1*11\/(-1). Let b = m + -3. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 * -0.1\nAnswer: 10.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000078399107 to 7 decimal places.\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*s + 5, -s = 2*s. Suppose 3*n = -q + 1726, 5*n + 893 = o*q + 3803. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 122, 116, 110, 104, 98?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 - 3*i - 5. Let d(m) = 4*m**3 - 4*m - 6. Let v = 10 - 5. Calculate v*d(g) - 6*r(g).\nAnswer: 2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, m: 3, n: 1}. What is prob of sequence nms?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3341\/1260 + -41\/140. What is the common denominator of 35\/12 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 187 = 211 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 1680477405.7.\nAnswer: 1680477405.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/(-40) + (-2)\/(-12). What is the closest to -1\/4 in t, 5, 1\/5, -7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nngngnggwn. Give prob of picking 1 n and 1 g.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67265118?\nAnswer: 2, 3, 3736951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16509 and 32.8?\nAnswer: -541495.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -6533790 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + f**2 - 2. Let n be g(-1). Let s be n\/(-7) + 900\/(-1925). What is the nearest to 1\/4 in -1, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1356 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 0, -5*p - 3*z + 2 + 3 = 0. Are -1\/67 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 484 and 12?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kewk when four letters picked without replacement from {w: 3, k: 5, e: 4}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 8. Suppose -9*k = -2*k - 63. Suppose 2*u - 58 = -2*v, 63 = 2*v + 4*u + k. Let n be s(v). Calculate the highest common divisor of 207 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 21*p + 11. Let x be z(0). Sort -1, -2, x, -15, 2.\nAnswer: -15, -2, -1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25\/26 (b) -1526 (c) 4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -337 divided by -111\nAnswer: 337\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -998.2 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 20 = 4*l - 4, -4*l + 3*r = -44. Let y = -10 + -9. Let v = y - -34. What is the smallest common multiple of v and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**7\/2520 + c**6\/720 - c**5\/180 - c**4\/144 + c**3\/24 - 23*c**2. Factor y(q).\nAnswer: (q - 1)**2*(q + 1)*(q + 3)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 + 59*z**2 + 63*z + 350. Let o be v(-29). Is -1904\/3 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1809049 and 4147?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -234686 or -234677?\nAnswer: -234677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 38*r - 35*r + 13, 5*r = k - 37 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6298782 - 6298782.2911289. Let v = w + 0.0911317. Let c = 0.2 + v. Round c to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248318908 to the power of 1\/2, to the nearest integer?\nAnswer: 15758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 24*a + 36. Let y(o) = 3*o**2. What is y(k(c))?\nAnswer: 1728*c**2 + 5184*c + 3888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqqqpaaqp. What is prob of sequence paq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 - 8*v**2 + 13*v + 9. Let j be f(5). Suppose -60*q + 56*q = -j. Is q at least as big as 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1184 and 5632.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167740781959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggiiihii. What is prob of sequence gg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 55?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 + 1 - 1)*(-2*y - 9 + 9)*(-2 - 2 + 2) as l*y**2 + j*y + h + b*y**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 7 = 13. Let s(t) = 10*t**2 - 25*t**i + 14*t**2. Let k(q) = -33*q. Let f(j) = -5*j. Let n(u) = -22*f(u) + 3*k(u). What is n(s(a))?\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344802 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*v + 19 = -379*v, -3*c - 2*v - 46 = 0 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/3, -24\/7, 0.076?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 + j**2 - j. Let g be t(1). Suppose g*v = 3*s + 25, 5*v + 2*s - 8 = 7. What is the least common multiple of 3 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + (-72)\/8)\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8 + 3 = -3*n, 3*c - 3*n - 30 = 0. Let l be c - (2 + 5 + -4). Suppose -4*h + 4*q + 52 = 0, 3*h + l*q - 45 = q. 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(b) = -778*b + 4862. Let l be w(2). Calculate the greatest common factor of l and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 - 66. Let u be 10\/(-35) + x\/7. Let k(t) = t**2 - t - 3. Let d be k(u). Solve 0 = j + 3*p + 5, j + 2*j - d = 3*p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 5*u**2 - 4*u + 5. Let w be p(5). Let b = w + 17. Let l(q) = 6*q**2 - 2*q + 4. Is 24 a factor of l(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 859*j**2 - 7474*j - 2367. Determine l(9).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 385\/44*(-198)\/(-539)*14.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-140))\/((-4)\/(-10)) + 1\/21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - v = -13, -p - 3*v + 246208 - 246201 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 10b?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*r - 40*r = 84 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:14 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000153695 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8759 = 14337. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + s + 3*s)*(-1 - 5 + 3)*(-3*s**2 - 3*s**2 - s**2).\nAnswer: 21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5858 - -47373. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 3*b + 5. Let y be g(2). Let j be -3*30\/y*(-8)\/(-5). Solve -3*f = k + j, -4 = 2*k - k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 1. Let x be r(3). Find the third derivative of 2*j**x + 2*j**2 + 3*j**2 - 2*j**2 wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -59, -30, 19, 94?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*v - 11 = 0, 10*i = 8*i + 4*v - 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. Suppose -5*p - 11 - 24 = -w, -2 = 2*w + 2*p. Which is the closest to 6? (a) -1\/6 (b) w (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 1544726\nAnswer: -1544726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1546, -8, 0.3, -16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a - 11. Let m be k(11). Suppose 0 = -3*x + 2*p + m, -2*p + 5*p = 4*x - 73. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - -1.9. What is the smallest value in v, 4, -0.147?\nAnswer: -0.147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d + 3. Let f(r) = 13*r + 9. Let z(v) = -2*v**2 - 2*v + 3. Let j be z(-2). Let x be f(j). Determine y(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*j - 13. Let s(d) = 1 - 12666*d**2 + 2 - 1 + 1 - 3*d. Let y be s(j). Round y to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/(-1))\/(-7) + 4. Let x(u) = 27*u**b - 48*u**2 + 23*u**2. Let y(h) be the second derivative of 2*h**3 + h. What is x(y(i))?\nAnswer: 288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6 - 3 + 7 + 2803*z - 2790*z. Give l(-4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - z - 4*z)*(z + 2*z - z)*((0 + z + 0)*(-3*z - z + z) + 4*z**2 - 2*z**2 - 5*z**2).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 117720.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 1169?\nAnswer: 4676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 12:24 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27898846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5404933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 376.1 (b) -0.71 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + v = -f - 1, -5*v + 17 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + r + 1. Suppose 2*j = -z + 5, -5*z - 3*j - 48 + 59 = 0. Let v(b) = 4*b**3 - 4*b - 4. What is z*v(l) + 3*g(l)?\nAnswer: l**3 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1057)\/7852*(28\/(-490))\/((-2)\/(-10)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/72 and 41\/118053?\nAnswer: 944424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*a = -2, 4*c - 4*a = 3*c - 2. Solve c*b + 73 = 73 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*312.\nAnswer: -1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*j - 3*u, -5*u - 20 = -4*j - j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snnz when four letters picked without replacement from snaanasrnzssaasnas?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k\/k**(-2\/31)*k))\/(k\/(k*k**(-2\/3)*k*k)))**(-14) assuming k is positive.\nAnswer: k**(2254\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -40, -4, -2\/7, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 153?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 + 7*h**2 - 2*h - 5. Let w be 4 + (21\/(-1))\/(-7). Let y(g) = -3*g**3 + 4*g**2 - g - 3. Give w*y(q) - 4*f(q).\nAnswer: -q**3 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3325187*d**4 + d + 737283.\nAnswer: -39902244*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1590 + -282. What are the prime factors of t?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 37820050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 + (-5)\/(-2). Suppose 0 = -b + 5 - w. Factor -2*o**b + 4 + 2*o**5 - 4.\nAnswer: 2*o**3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -123, 5, -11 in ascending order.\nAnswer: -123, -11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.93826l to millilitres.\nAnswer: 58938.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-4))\/((-21000)\/(-11200)*((-9)\/(-120))\/(-3)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175 - -291. Suppose -4 = -3*s + t. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(153)*5 - sqrt(153)) + sqrt(153) + 4*-2*sqrt(153))\/(-2*((sqrt(9) + sqrt(9)*1)*3 - (-2*sqrt(900) + sqrt(900) + sqrt(900))))*-6.\nAnswer: -23*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 24 = -5*a, -19 = -5*a + n - 1. Suppose w = a*k - 14, -w - 18 = -4*k - k. Suppose 4*c - 63 = -x, k*x - x + c = 145. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -8*z**3 + 3\/2*z**4 + 0*z**2 + 0*z - 22. Find the third derivative of g(f) wrt f.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 681423089?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.137 - 20.537. What is the third biggest value in 5\/2, -0.2, r, 115, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -96, 0.05, 0.056, -5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in months?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -383?\nAnswer: 1915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 11*p + 7. Let v(s) = s**2 - s. Let o(t) = -k(t) + 2*v(t). Determine o(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*x - 3*x + 31, -15 = -5*x - z. Let p(b) be the first derivative of 1\/2*b**2 + 38 - b + 1\/3*b**3. Give p(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000026381 rounded to 7 dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.047721 to four decimal places.\nAnswer: -0.0477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.4 (c) 20375 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 3, a: 2, x: 1}. What is prob of picking 1 j and 2 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a9 (base 11) to base 9.\nAnswer: -286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4 - 86*f**3 - 106*f**2 + 774*f + 792 = 0. Calculate f.\nAnswer: -3, -1, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10 (b) -26 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*c - 369, -8*j - 900 = -5*c - 13*j. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -693 and 194914.\nAnswer: -135075402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 divided by 3.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/14 + 4\/7. Let b be (-91419)\/(-20026)*1*2\/(-21). Let t = -2\/323 - b. Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) + 13\/20. Let f = -3.18 + 4.18. Put f, u, -3 in decreasing order.\nAnswer: f, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002005785 rounded to 6 decimal places?\nAnswer: -0.000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**4\/24 - c**3\/6 + 8*c**2. Let j(h) = -3*h**2 + 5*h + 5. Give -5*b(g) - j(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 107758.3 millilitres in litres?\nAnswer: 107.7583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1602787 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1164524\/21 - 55442. Let t = p + -69\/7. Let o = 0.3846 + 0.1154. Which is the second smallest value? (a) t (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6297, 2\/9, -35, 4, -3 in increasing order.\nAnswer: -35, -3, 2\/9, 4, 6297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2336 + 2336 - 85*l**2 + 75*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 238777321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 200232, 2 in descending order.\nAnswer: 200232, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5086829 and 1804?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**4 - 296353*p**2 + p - 1872960 wrt p?\nAnswer: -24*p**2 - 592706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -23 + (30 - 22).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 269.44 times -303\nAnswer: -81640.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 + -119.2936?\nAnswer: -11.2936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 2*l**2 + 6*l - 2. What is k(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18645, -19713, -20845, -22071, -23421, -24925, -26613, -28515?\nAnswer: -30661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-4)\/8*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 596, 584, 564, 536?\n\"Answer: -4*b**2 + 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/23 or -0.1?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11*l**2 + 2*l + 2. Let q(g) = -22*g**2 - 3*g - 5. Let r(b) = 3*q(b) + 5*v(b). Let n(d) = -6*d**2 - 3. Let f(s) = -5*n(s) + 3*r(s). Solve f(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 43999 (b) -4 (c) 5 (d) 0.2 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126 + b + 126)*(1 - 1 + 1).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(84)*-2 - sqrt(84))*-2 + 2*sqrt(84)*-1)\/((sqrt(300) - 2*sqrt(300))*-2*-5).\nAnswer: -2*sqrt(7)\/25 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 62137603391551.\nAnswer: 62137603391549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 69\/15 - (-4)\/10. Suppose 5*d - 4083 = -w, -24*d + 25*d = 4*w - 16374. Suppose -m*n = -5*b - n + w, -3296 = -4*b - 4*n. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3388.3859 rounded to the nearest 10?\nAnswer: -3390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 286, 282, 282, 286, 294?\n\"Answer: 2*d**2 - 10*d + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716*r + 21174 = 3990 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 + -153?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 9*n = -l + 8, 4*l = 2*n + 14. Suppose m - 11 = -6. Suppose -k + 6*k - 5*c = 20, l*c - 2 = -m*k. Calculate the remainder when 8 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 884109 divided by 294703\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 1:06 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nqqnqnnqnqnqn?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1546127768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + s - 272 = 0, -9*s + 14*s - 10 = 0. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5887, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.05 - -0.05. Sort 2, j, 85, 3 in ascending order.\nAnswer: j, 2, 3, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1354704 and 1776.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 6:31 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/402 and -31\/8.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22 + (-2 - 4)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7)*(-28)\/56.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1209.4 and -1028?\nAnswer: 1243263.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 12 = -2*n + 24, 3*n - 54 = 3*m. What is the remainder when 85 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*x = 4*f - 3323, 2*f = -4*x + 1678. Is 5 a factor of f\/(-17)*-3*4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, k: 1, y: 2, f: 3, q: 7, s: 1}. Give prob of picking 1 y, 1 s, and 1 f.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6295246 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 7*k**2 - k - 9. Let r be v(7). Let j = 37 + r. Let d = -8 + j. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 176 = -4*c + 5*f, 1858*c - 220 = 1853*c + 5*f for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 0*y**3 + 0 - y + 1\/4*y**4 + 0*y**2. Let g(r) be the first derivative of r**2\/2 - 27. What is g(s(l))?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4560*q**3 + 4560*q**3 - 85*q**5 + q**5 + q**2 - q**2 + 5*q**5 + 2*q**5 - 5*q**5 + (4*q**2 - 3*q**2 + q**2)*(-5*q**3 + q**3 + 2*q**3).\nAnswer: -86*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3116, -25025, -84456, -200159, -390884, -675381?\nAnswer: -1072400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2\/7, -5, 3\/5.\nAnswer: -5, -3\/4, 2\/7, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-2 - 4 - 0) - (5 + (2 - 14)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12651552 (base 8) to base 16\nAnswer: -2b536a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/8))**(-9)*(z**(-2\/19)*z)**30)**(-32) assuming z is positive.\nAnswer: z**(-17004\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 142 (c) -6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + (-110)\/((-67760)\/2079).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123525 by 4941.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38953, -38994, -39035, -39076?\n\"Answer: -41*q - 38912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/5*21\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -367 + 374. Let t be 1404\/p + 112\/(-196). Calculate the highest common divisor of 50 and t.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 4 - 28. Suppose 0 = 3*i - 0*i - u. Calculate the remainder when 24 is divided by (3 - 4)*(-18)\/i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**2 - 11*u. Let l(o) = -102*o**3. Let s be l(-1). Let b = s + -100. Let c be j(b). Calculate the greatest common factor of c and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42585 divided by -14195.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 836.06ns?\nAnswer: 0.83606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 658800 to the power of 1\/2, to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1732392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6)*2\/38. Let y = 416160 - 416156. Put -0.3, y, m in decreasing order.\nAnswer: y, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -28. Let u = 23 - t. Is u bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 + 1 + 1 + 6*o - 7*o**2 - o**3. Suppose -l + 4 = -2. What is the remainder when z(l) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.34 - -25.24. Which is the nearest to 0.2? (a) -0.5 (b) 1\/4 (c) 3\/5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 - 2. Let j(k) = 1 - 5*k**2 - 1 + 2*k**2. What is b(j(y))?\nAnswer: 27*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1833 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020322223 (base 4) in base 15?\nAnswer: 5d762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.9 (b) 4 (c) -28 (d) 2\/3 (e) -0.09 (f) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 36*k**2 + 5. Let h(l) = -450*l**2 - 63. Let a(m) = 5*h(m) + 63*u(m). Let c(q) = q. Determine c(a(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((4788\/(-8))\/(-3))\/(2\/(-36)). What are the prime factors of (-12)\/(-66) + y\/(-33)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -822*w + 388*w - 286*w - 496*w.\nAnswer: -1216*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - g - 12. Let o = g - -1. Suppose -2*x = 3*v - 38, 4*v = -v + 10. Solve 3*t + o = x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-1*1\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*m - 3 = -87*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01621 + 564.28379. Let x = -564 + q. What is the nearest to 2\/5 in -3, 2\/5, -2\/7, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1076866?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o + 36. Calculate the smallest common multiple of 2577 and q(-1).\nAnswer: 23193","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 9*v - 1\/6*v**4 + 0*v**3 + 0*v**2 + 1. Let q(k) be the third derivative of -k**5\/12 + k**2. Calculate q(t(l)).\nAnswer: -20*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304824?\nAnswer: 2, 3, 13, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -723.821 to the nearest 10.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 8*r**2 + 7. Let y be v(-8). Let f = 9 - y. Suppose 22 = f*s - 6*u + 3*u, 5*s = -2*u + 36. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1311, -1273, -1235, -1197, -1159, -1121?\n\"Answer: 38*v - 1349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(272) + 1*sqrt(272) + 5 + sqrt(272)))**2 + 2*(-2 + sqrt(272)) + -5.\nAnswer: 3008*sqrt(17) + 61816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 11*m - 945. Let l = 86 + m. Let v = l + -172. Does 26 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 21 = 5*j, u + 5 + 4 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -76, 198, -3, 2, -2.\nAnswer: -76, -3, -2, 2, 34, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4149485.\nAnswer: 5, 739, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((g**2 + g**2 - 4*g**2)*(218 - 63 + 44) + (4 - g - 4)*(-2*g - 2*g + 5*g))*(0 - 10 - 16)*(-4 + 1 + 1) in the form y*g**2 + q + o*g and give y.\nAnswer: -20748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*c - 6, 0 = -c + 2*v - 7 + 1. Is c at least as big as 3\/64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/6)\/((-1414)\/6060)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -18. Suppose -2*y + k = -11. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and 1639288.\nAnswer: 39342912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4169019 by 13.\nAnswer: -4169019\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8414, -10633, -16654, -28379, -47710, -76549?\nAnswer: -116798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, -1\/4, 0.3 in increasing order.\nAnswer: -1\/4, 0.2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166 - 159. Solve -v*l = -12*l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -4. Let j = -20 - -23. Suppose 0 = -346*o + 351*o - 10. Sort -2, j, x, o in descending order.\nAnswer: j, o, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/20 - (2 + (-3 - -5)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + p = -5, 2*p = -2556*n + 2557*n + 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 2*s**2 - 5 + 9 as h*s + g*s**2 + o and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 100*l + 503. Suppose 30 = -3*b + 5*z, -2*b + 77*z + 5 = 82*z. Calculate t(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/45*24*(-186)\/496\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29*(-61)\/17690*-5)\/((-1)\/(-256)).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -1)*(-3 + 4). Let o be 2*-1*(-17 + u). Let r = o + -159\/5. Which is the second smallest value? (a) r (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a644 (base 12) in base 5?\nAnswer: -1040241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, s: 2, l: 2}. What is prob of sequence pp?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 470015 (base 9) in base 8?\nAnswer: 1047031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51054739*v - 181721472.\nAnswer: -51054739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 109 in 2, -0.1, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17340 and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five eighths of a millennium?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103506728 a multiple of 5336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 62 + 238 = 0. Calculate the common denominator of ((-1)\/40)\/(8\/x) and (-1)\/(-10)*83\/2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256425163?\nAnswer: 29, 101, 87547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 12144962, 17, 4 in increasing order.\nAnswer: 4, 17, 12144962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.26 + -0.46. Let w(y) = -y**3 - 6*y**2 - 4*y + 7. Let p be w(-5). Let m = p - 6. What is the nearest to -0.1 in 1, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2238230 divided by 223823?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 15 = 2*y, -3*g = 3*y + 3. Suppose 0 = -102*t + 103*t - g. Solve 29 = 5*b + t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.252 + -22.852. Let i = -12 - k. Round i to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*i + 11, 2*i + i = -o + 7. What is the common denominator of 61\/9 and 3096\/(-2079) + 12\/(-21) + i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1281 + -0.1281. What is the closest to -2\/13 in 2\/15, r, -10?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*p - 1683 = -47 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -343.66103*0.3\nAnswer: -103.098309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 18 = -20. Let k be 36\/90 + 2501\/4185 + -1. Which is greater: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1785040 is divided by 3368.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -37*f. Let m = 4 - 1. Let o(s) = 3 - s - 3 + m*s. Calculate o(y(c)).\nAnswer: -74*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6228*y**4 - 9207*y**2?\nAnswer: 149472*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 0 + -4 + (32 - (5 - -17))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368724?\nAnswer: 2, 3, 30727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 12*b - 23. Let a be 25\/2*72\/b. Suppose 0 = -5*k + 14*k - a. What is the highest common factor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.125 - -5.125. Let y = -70 - -21. Sort 2, y, s in ascending order.\nAnswer: y, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from {k: 2, t: 3, m: 1, b: 2, j: 3, l: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 67 = -17. Calculate the highest common factor of 30 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36701 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -254?\nAnswer: -152.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179541 - -452443337\/2520. Calculate the common denominator of -113\/1365 and r.\nAnswer: 32760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3 = -1. Let v be 57\/38 + 6\/h. Suppose v = -6*k + 970 + 608. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24182*s + 369326 = 8594*s + 88742 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 4*s + 2. Let q be t(4). Suppose b + 2*b - 9 = 0. Let x = b + -8. Sort x, q, 4.\nAnswer: x, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 3*o + 5. Suppose 0*k + k = 4. Let y be r(k). Is (y\/2)\/(9\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10.5 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 2707*s - 1353*s - 1354*s. Let w(i) = -108*i**2. Calculate x(w(b)).\nAnswer: 23328*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2*u*u\/u**(-2\/7)*u)\/(u\/(u*u\/u**(1\/4))*u*u**(-1\/4)) assuming u is positive.\nAnswer: u**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87\/58)\/((-3)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -968751*d - 16. Suppose 8*u + 32 = 6*u. Let f be z(u). Round f to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-5\/6)\/(m**(-3\/2)\/(m\/m**(-2\/15)))*(m**4\/m*m**(-1\/3))\/(m\/(m*m**(2\/17))*m*m\/(m*m**(-2\/13))) assuming m is positive.\nAnswer: m**(9423\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62 + -113?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -9961805 <= -9961802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/35)*g)\/(g*g**15))**33 assuming g is positive.\nAnswer: g**(-17391\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 793 - 755. What is the remainder when 600 is divided by z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 890 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7323 is divided by 3419.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247 - 215 = -16*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131740 by 28.\nAnswer: -4705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12456403?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202, 81, -40?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 10*t + 1079. Let a = -111 - t. Solve -a*u - 2*u = -5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6914*s**3 + s + 1881 wrt s.\nAnswer: 41484*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -14 + 32 + -16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**2 + 0*n**2 - 5*n**2 + (3*n - 3 + 3)*(n - 3 + 3) + 240*n**2 + 85*n - 85*n to j*n + z + p*n**2 and give p.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 2, -4, 4, -1, -6, -31 in increasing order.\nAnswer: -31, -12, -6, -4, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 6. Let c be (-3 - 7) + (-69 - -45). Sort c, -2, a in decreasing order.\nAnswer: -2, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77103 - 273?\nAnswer: 76720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012417 rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 19*m**2 + 662*m - 104. Determine q(-35).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = -4*v - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 10 = -6, -r = 5*m - 3386. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -116, -413, -914, -1625, -2552?\n\"Answer: -k**3 - 96*k**2 - 2*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -3\/5, 99?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1890 (base 11) in base 6?\nAnswer: -15034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 + 22\/2 - 3)*-88. Let c = -26 - g. Let u = 51 - 21. Calculate the highest common divisor of u and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*f, 5*h - 3*f - 4 = f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -459 - -464. Let y be (-42)\/(-7) - (a - 4). Solve y = -5*s - 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000029088327 rounded to seven dps?\nAnswer: 0.0000291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**0))**(-3))**(-8)\/(i**(-1)*i*i\/((i\/(i*i**(-2\/7)))\/i)*(i**0\/i)**(12\/7)) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34806840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 472382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4 + 3*k + 34*k**2 - 30*k**2 - 2*k**3 - 2 + 3*k**3. Give q(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -9*l**3 + 15*l**2 - 4*l - 3. Let p(c) = -5*c**3 + 7*c**2 - 2*c - 1. Let a(b) = -11*p(b) + 6*u(b). Is a(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 59244?\nAnswer: 296220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14774 + 3 - (10 + -15). Let f(u) = -3575*u**2 - 6*u + 6. Let v be f(4). Let a = j - v. What is a rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (477\/(-3)*7\/(-21))\/((-54)\/(-54)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 - t**2 + 6*t**2)*(22 + 55 + 76).\nAnswer: 153*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -71*r**8\/168 + 61*r**4\/24 - 8*r**2 - 3. Find the second derivative of x(t) wrt t.\nAnswer: -2840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9875*s + 15065*s = -415200 for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1295 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) 3\/8 (c) 7 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 28, -8, -0.4, 3, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24835, 49781, 74739, 99715, 124715?\n\"Answer: h**3 + 24939*h - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4.01. Let q = 0.11 + s. Is q at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b**2 + 289*b - 1. Let y(m) = -2*m. Calculate o(y(n)).\nAnswer: -24*n**2 - 578*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 198781091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17992 is divided by 358.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -551*k + 546*k + 30 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -55*i - 29. Calculate b(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 67 + 11. Calculate the remainder when 53 is divided by (-16)\/h + 162\/14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 3:32 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1572 and 0.5.\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 992?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i - 2*i)*(4 - 2 - 3) + (0 + 4 - 3)*(-2*i + 2*i - i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1)\/(2\/(-10)). Let n(l) be the first derivative of -l**4\/4 - 5*l**3\/3 + l**2\/2 + 7*l + 41. Let m be n(f). Solve -m*g - g = 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -2104341241?\nAnswer: -2104341303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 913826 and 2649311?\nAnswer: 1961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3 - 159120*j**2 - 2109931200*j = 0. Calculate j.\nAnswer: -26520, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4905)\/(-7194)*(-176)\/96\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 3*l = -96. Let i(z) be the first derivative of -z**2\/2 - 8*z + 2. Calculate i(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*i - 101*i - 2*h + 636 = 0, -h + 255 = -2*i. Let y be -5 + i\/(-45) + 2. Let c be ((-4)\/(-14))\/1 + 0. Sort 0.9, c, y.\nAnswer: y, c, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {s: 4, k: 1, u: 4, l: 4, f: 2, c: 5}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3\/7 + 108*w**2\/7 + 1152*w = 0.\nAnswer: -42, 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/84*-20)\/(((-1134)\/54)\/(-378))?\nAnswer: -60\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334 - 339 = 3*v + 4*o, 8*o - 5 = 2*v - 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 26634 = 36381. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3401 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y - 3 + 19*y - 2 - 7*y to the form t*y + r and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4390, -4301, -4138, -3889, -3542?\nAnswer: -3085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*k - 207*k = -47*k - 586 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = z - o - o, 2*z - 2*o - 12 = 0. What is the common denominator of 1\/z*153\/2 and 0\/2 - (-63)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 7:47 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -7751.924 to the nearest integer.\nAnswer: -7752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -794 less than -794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37806, 75621, 113434, 151245, 189054, 226861?\n\"Answer: -m**2 + 37818*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40164699 is divided by 355.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 8 = -n + 5*n, 5*n = -2*l - 68. Is (-974)\/(-6) - l\/18*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 1. Let k be l(3). Suppose -k*t = 2*t - i - 140, -3*t = -4*i - 105. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 676813214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6) - 49\/(-14). Suppose -10 - 11 = -a + 2*x, -5*a - g*x = -63. Solve -4*f + a = -3*n - 0*n, -25 = f + 5*n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1140.3 - -1140. Let x be -3 - (24\/5)\/(-2). What is the third smallest value in x, -2, -5, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3042270, 3042272, 3042274, 3042276?\nAnswer: 3042278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5661435*-5.\nAnswer: -28307175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -24. Which is the closest to 1? (a) 0 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -7 - 3. Let v be 7 + 3\/((-2)\/i). Suppose 0*r = v*d - 3*r - 127, d - r - 33 = 0. Calculate the greatest common factor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/42 and -31\/693?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -1. Let r be -1*f*(-5 - -2). Let z be (r + 3)*(-6)\/(-2). What is the highest common factor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 - 247*g\/2 - 246.\nAnswer: -(g + 2)*(g + 492)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -50*c**4 - 265*c**3 - 50*c**2 + 125*c + 20. Let a(r) = 7*r**4 + 38*r**3 + 7*r**2 - 18*r - 3. Let k(g) = 20*a(g) + 3*l(g). What is f in k(f) = 0?\nAnswer: -3, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (265 - 28039*i**2 - 23244*i**2 + 270 - 535)*(-i**3 + 3*i**3 - i**3).\nAnswer: -51283*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (54 - 36) + (0 - 21)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -191.2 - -191.200014952. Round r to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291.4649 milliseconds to nanoseconds.\nAnswer: 291464900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/((1 - -5)\/144). Suppose -24*d + 32*d = g. Calculate the highest common factor of d and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 13, t: 3}. What is prob of sequence lp?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Suppose 11 = -2*t - h*f + 27, -5*t = -3*f - 24. Suppose 0 = -2*w + t*w - 28. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75042 (base 11) to base 6.\nAnswer: 2201300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13986 + -13934. What is the remainder when 221 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 60*x - 212. Let y(s) = 1. Let q(c) = -r(c) - 4*y(c). Let f be q(-20). Calculate the greatest common divisor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -140*l - 44*l**5 + 140*l + (-3*l - l + 2*l)*(0*l**2 + 0*l**2 + 2*l**4) - 2*l**5 - l**5 - l**5.\nAnswer: -52*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336268835 divided by -6344695.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9994, -9698, -8968, -7588, -5342, -2014, 2612?\nAnswer: 8752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 + 99 = 7*c. Factor 14*p**2 - 28*p**2 - 3*p**3 + p**3 - c*p**2.\nAnswer: -2*p**2*(p + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -95.\nAnswer: 6.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**5 + n**4 - n**2 - n. Let z(x) = -4*x**5 - 4*x**4 + 8*x**2 + 8*x. Let j(b) = -8*r(b) - z(b). Suppose j(c) = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 62*w**2 + w - 5. Let c(h) = h**2 - 1. Determine -5*c(d) - t(d).\nAnswer: -67*d**2 - d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oua when three letters picked without replacement from fluofagl?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -27, -81, -187, -363, -627, -997, -1491?\n\"Answer: -3*x**3 + x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15098720 and 249795.\nAnswer: 135888480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21996 + -1122. What are the prime factors of s?\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*t - 8*t + 13*t**3 + (3*t + t - 6*t)*(0*t**2 + 2*t**2 - t**2) + (4 + 0 - 2)*(-2*t**3 + t**3 + 0*t**3).\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -0.2 (c) -0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20.3? (a) 0.15 (b) 3\/4 (c) 0.4 (d) -12\/13 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5048 is divided by 504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*o = 2*o - 20, 0 = b + 2*o + 16. Let a = b + 20. Suppose -a*w + 5*w = 21. Is w less than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**2 - 1237944*o + 2475876 = 0.\nAnswer: 2, 412646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.220673*-376\nAnswer: -82.973048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgdgggi. Give prob of picking 1 d and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*r + 46*r = 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/5 (b) -13 (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -2\/9269, 0.1, 32?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -6947 + 6867 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -240617150 or -240617149?\nAnswer: -240617149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 2*s - 5)*(-6 + 2 + 2) - s + s + s)*(6 + 3 - 4).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 392 and 19698?\nAnswer: 78792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.43 - -0.03. Which is the nearest to 3\/11? (a) -0.3 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 35 (b) 0 (c) -2 (d) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -225*n**2\/4 + 295*n\/4 - 35\/2.\nAnswer: -5*(n - 1)*(45*n - 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2667, -2664, -2661, -2658?\n\"Answer: 3*i - 2670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**4\/2 - f**2\/2 - f - 5. Let w be u(-2). Is 17 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -4, 5, -35?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064 equal to 2\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130696 - 61481 = 2189*o + 97176 - 81398 for o.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {x: 1, c: 12}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/33)\/t**18 assuming t is positive.\nAnswer: t**(-592\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*f - 3*h, -2*h = 3*f - 0*h - 9. Suppose -f*t + 8 = -7. Solve 0 = 3*o + t + 6, 5*o = -4*x - 31 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 1.33.\nAnswer: 0.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*j + 516 = 2490 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.427 (b) 3\/2 (c) -338\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oorvrvovoorovror. Give prob of sequence ro.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -56336?\nAnswer: 56340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 14 - (-1 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3 - 64\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81326549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.2. Let f = 0.9 + w. Let n be 64\/112 - 4\/14. Which is the nearest to f? (a) 0.3 (b) 0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -146313611 + -2?\nAnswer: -146313613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4024617 is divided by 180.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225295210*m**3 - 225295212*m**3 + 450590425*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9406 micrograms to nanograms.\nAnswer: 940.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 11*v**3 - 6*v**2 + 194*v + 384. Calculate h(-2).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5 + sqrt(7) + sqrt(252) - sqrt(7) - sqrt(7))*-5)**2 - 6*(sqrt(49) + (sqrt(441) - sqrt(441)*-3) + sqrt(441))\/sqrt(7).\nAnswer: -1346*sqrt(7) + 4996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -306 (base 9) to base 10.\nAnswer: -249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.23365ml in litres?\nAnswer: 0.03723365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 854348.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 6:58 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*t**2 + 1496*t**2 + 1582*t**2.\nAnswer: 2786*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3\/7, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/84)\/(195\/273)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 4*c + 2. Let q be j(-4). Let a(h) = -14*h + 2*h**q + 7 - 1 + 5*h + 0*h**2. Is 12 a factor of a(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 18. Solve 2*i = -3*x - o, -x = -3*x + 4*i + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1080196634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 times -1\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/21 - 5208332*r\/21 - 3390840277778\/21.\nAnswer: -2*(r + 1302083)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 1 - (-5 - 1). Let y = 28 - p. What is the highest common factor of 80 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 2, -3 in descending order.\nAnswer: 2, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 795 a factor of 11156671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1303 and 9.4.\nAnswer: -12248.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1*-73*(-313)\/22849.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeee. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/5)\/3)\/(38\/(-4)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, a: 2, k: 8}. What is prob of picking 1 t and 2 a?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 960 + -979. Which is the second biggest value? (a) 3\/7 (b) p (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/4 + 109567*i**3 - 32013651267*i**2\/2 + 779537740380863*i - 21823919543163521\/4.\nAnswer: -(i - 146087)**3*(i - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -732717570*s*t*u**2 + 5*s*t*u + 1831*s*t - 10*s + 2*t*u - t - 8*u wrt u.\nAnswer: -1465435140*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 11*f + 5. Let o be q(11). Solve -o*z + z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 0*r**3 + 0*r**4 + 0 + 2*r**2 - 1\/150*r**5 + 1\/300*r**6 + 0*r. Factor a(z).\nAnswer: 2*z**2*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - -6 - 6\/1. Let x be (-4)\/14 - 16\/(-70). Is x greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Suppose -3*w + 16 = 2*d, -5*d - 12 + 34 = 3*w. Sort d, i, -4 in increasing order.\nAnswer: -4, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2080 + -2068. Solve -t = -5*r - 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 25*t**5\/2 - 1255*t**4\/4 + 2110*t**3 - 13145*t**2\/4 + 1155*t\/2 + 900 = 0.\nAnswer: -2\/5, 1, 3\/2, 8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.444742ml in litres?\nAnswer: 0.001444742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 9. Let g be i(-4). Suppose 5*u - l - 14 = -4*l, 2*u + 1 = l. Let m = -1 + u. Solve m = 3*q - 2*y - g, 0 = -4*q - 5*y + 2 - 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 7*k - 3. Let l be n(7). Let r = l - 2. Let i(u) = 2*u + 6. Let p be i(r). Is p at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 370060, 370062, 370064, 370066, 370068?\nAnswer: 370070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-3 - sqrt(5)) + 1 - sqrt(125)*4.\nAnswer: -24*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 2a721?\nAnswer: -2a71e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -483 + 477.67. Round f to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/5 + -6)*5\/(-2). Suppose 0 = -s*m - 2*r + 5*r + 21, 3*r = 2*m - 18. Solve -o + 3*v = -3, -2*o - m*o = v - 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**4*z**2 - 55*k**4 - 6*k**3 - 121*k**2*z - 4*k*z**2 wrt k.\nAnswer: 48*k*z**2 - 1320*k - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*y + 447 + 14, -5*s + 5*y = -620. Let a(o) = 16*o - 26. Let r be a(-8). Is 11 a factor of (-28)\/r + s\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166683 and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708379 is divided by 180?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -1. Suppose s*y - 20 = -4*m, 2*y = 7*y. Suppose m*f - 5*g - 40 = 0, g + 3*g = -f - 12. Solve -3*n = n - f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, n: 11}. What is prob of picking 1 q and 3 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 2*y + 5*j + 2, -4*j + 3 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(165))\/sqrt(3) + -5*sqrt(880))\/(sqrt(99)\/(sqrt(441) + (sqrt(441) - (-4*sqrt(441) + sqrt(441))) - sqrt(441))).\nAnswer: -532*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/23506 and 101\/18032.\nAnswer: 1316336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9309 = -4*i + 432, -l = -2*i + 4853. Calculate the highest common divisor of i and 990.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -75 + 204 + 68*u - 53 - 71. Let s(o) = -34*o - 3. Determine -3*l(h) - 5*s(h).\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12785754127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 19.15. Let f = d + 3.15. Sort -0.5, 2\/17, f in decreasing order.\nAnswer: f, 2\/17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2, -2\/9, -12, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.3 (c) -1\/177 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**2. Let n(g) = 103*g. Give d(n(a)).\nAnswer: 95481*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.06 - 0.06. Let n = -899\/21 + 302\/7. Sort -16\/9, n, v in descending order.\nAnswer: v, n, -16\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-2))\/(-3))\/((-186)\/(-372))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 24 = -0*z. Let f be ((-1)\/(-4))\/((-3)\/z). Which is the third smallest value? (a) 0.2 (b) -2\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(840\/245))\/(532\/(-16))*(-6)\/(-2)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, -13, 2, 78 in ascending order.\nAnswer: -13, -4, 2, 11, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**2 - 2 - 2 + 4.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 40 = -2*p - 9, p - h - 11 = 0. Let n = -5 + p. Let j = 11 - n. Solve j = 2*c + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4699998\/5 - 939999. Factor 28\/5*y + 12\/5 - 7\/5*y**3 - u*y**2.\nAnswer: -(y - 2)*(y + 2)*(7*y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 34 = 3*m, 0 = 3*k + m - 0*m - 72. Suppose -15 = 3*i, i = s - 3*s + k. Suppose 2*h + 1 = -3*d + 16, -3*d - h + s = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e5 (base 15) in base 7?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - k - 6. Let b be p(0). What are the prime factors of (-514)\/b - (-16)\/48?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -634 + 643. Sort -5, -20, v.\nAnswer: -20, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 1096*t**2 + 1092*t.\nAnswer: 4*t*(t + 1)*(t + 273)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/55))**(-46)\/((s\/(s\/s**9))\/s*s*s*s**35) assuming s is positive.\nAnswer: s**(-2383\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0084942 rounded to five dps?\nAnswer: -0.00849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 0*y + 26 = 3*y, -6*l = -2*y + 78 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.2 + -0.8. Let q be 3\/((-1)\/((-2)\/(-21))). What is the closest to 1 in q, l, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 73034\/(-1166) + 58?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568468.1ng in kilograms?\nAnswer: 0.0000005684681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 29*g**2 + g + 34. Let i be s(-29). Solve 2*b - 10 = 3*n, i*b + 4*n = -6 - 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:50 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1290 divide 1236169590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 34*t**4 + 6*t**3 + t**2 + 6*t. Let a(f) = f**4 - f**3 + f**2 - f. Let b(x) = 6*a(x) + v(x). Find the third derivative of b(w) wrt w.\nAnswer: 960*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m - 4. Let t be h(-1). Suppose c = -t*c + 2*c. Solve c = -2*q - 0*q - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*b - 3)*(-5 + 5 - b) + (24*b + 0*b + 28*b)*(3 - 3 + 2*b).\nAnswer: 102*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/455)\/(2\/26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10\/227 - -11617\/908. Calculate the common denominator of 11\/10 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4.1. Let g(a) = a - 8. Let h be g(6). Which is smaller: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jvwjwwqwvvvshwwwwsjv?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 289*p - 853. Calculate the remainder when z(5) is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 = -3*g, -3*g = -4*f - g + 4. Let i(z) = -15*z**f + 4*z**3 - 3*z**3 - z + 7 + 15*z**2. What is the units digit of i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6428 by 4.\nAnswer: -1607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(2736) + 0 - (sqrt(76)\/sqrt(4) + -3 - sqrt(19)))*-4 + -2)*6)**2.\nAnswer: 55296*sqrt(19) + 1585152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1023)\/55 - -17) + 4\/(-10). What is the nearest to 5\/2 in g, -3\/4, 201?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.2 - -7. Let g = 53\/44 - 16\/11. Suppose -347*x + 1061 - 714 = 0. What is the nearest to 4 in w, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6151940 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 16222 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6516751 (base 8) to base 6\nAnswer: 101215425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 846871, 1693746, 2540621?\n\"Answer: 846875*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/1811? (a) -3\/7 (b) -2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -10*q**2 + 2*q - 11. Let k be z(-5). Let t = k + 433. Is (-1 + 2)\/(3 + (-483)\/t) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257844 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 35*h - 1. Let k(i) = 12*i - 49. Let f be k(4). Let d(o) = -o**2 + o - 1. Let v(m) = f*b(m) + d(m). Solve v(r) = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 + 2*b**2 - 2*b - 2. Let d(l) = 3*l**2 - 5*l - 4*l**3 + 2*l - 3 + 2*l**3. Let x(v) = v**2 - 5*v - 22. Let h be x(8). What is h*d(j) - 3*i(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4959*g**2*q**2 + 8*g**2*q + 2*g**2 - 6*q wrt q.\nAnswer: 9918*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 23, -268.28?\nAnswer: -268.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/9 + 2\/9. Let f(a) = a**2 - 7*a - 74. Let v be f(-6). Factor -4\/3*r**5 - 5*r**3 + 13\/3*r**v + 0 + 7\/3*r**2 - z*r.\nAnswer: -r*(r - 1)**3*(4*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 833298760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(304) + 1)*-5*4 + (3*sqrt(76) - -2*sqrt(19)*-2))**2.\nAnswer: 3120*sqrt(19) + 115996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -101, -3 in descending order.\nAnswer: 16, -3, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n + 2. Let f = 18 - n. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, q: 1, x: 1}. What is prob of picking 1 x, 1 q, and 1 l?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*n + 17 - 24 - 37 - 14.\nAnswer: -233*n - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -5*z - 25, -2526*p + z = -2539*p - 125 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4482, -4539, -4606, -4689, -4794?\nAnswer: -4927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 409335 to the power of 1\/2, to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111 (base 11) in base 10?\nAnswer: 14774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -633607 (base 9) in base 8?\nAnswer: -1337521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + d7e?\nAnswer: d7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1210 (base 3) to base 8\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 2976102137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 61 (c) -13 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2900 + 19132. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddjddjjda. Give prob of sequence adj.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 12:20 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/787056 and -61\/98382.\nAnswer: 787056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 46417.608758?\nAnswer: -46413.608758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1125, 1, -3, -4.1, 2\/7 in decreasing order.\nAnswer: 1, 2\/7, -3, -4.1, -1125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(-29\/4)*u)*(u\/(u\/(u*(u**5\/u)\/u))*u)\/u*u**(-34)\/(u*u*u*u\/(u**(-25)\/u)*u*u) assuming u is positive.\nAnswer: u**(-219\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (7488\/624)\/(10*(-3)\/3)*(-30)\/(-16)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23807145 + -2?\nAnswer: -23807147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 20*u - 3. Let s(v) = -v**2 - 7*v - 1. Let o(p) = 4*m(p) - 11*s(p). Let q be o(3). Suppose -q - 23 = -5*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11825 and 2750?\nAnswer: 118250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10326*y + 8264*y - 96914 = 0 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1329 - 12*i**3 + i**5 - 15*i**3 - 6*i**4 + 2*i**5 + 1329 + 54*i**2.\nAnswer: 3*i**2*(i - 3)*(i - 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1841 - 1722. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75873.95 millimeters in nanometers?\nAnswer: 75873950000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 512591190, 512591189, 512591188, 512591187, 512591186, 512591185?\n\"Answer: -j + 512591191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 71296 = -15*p. Suppose 4*o - 4*k = p, 6*o - 11*o + 5520 = 5*k. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 23. Let s(q) = 31*q**2 + 2*q - 1. Let d be s(1). Let c = n + d. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*f + 79*f + 3 = t, -3*t + 5*f - 23 = 0. Which is the third smallest value? (a) -2\/11 (b) 117 (c) t (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 3*x - 2. Let c be q(1). What is the third smallest value in c, -0.06, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6))\/((-195)\/(-1820)) - -34\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6801825*l = 6801180*l + 27735 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, a: 3}. Give prob of sequence oa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.37*-1063.\nAnswer: -393.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3.3. Let r = 17 - 12. What is the nearest to 0.1 in 0.2, r, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6696)\/26040*1\/3*-1.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 30 = -5*z, -3*c + 3*z + 2 = 2*z. Let l(u) = 2*u - 1. Let s be l(2). Solve d - n = 4*d - 14, c*d - 13 = s*n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -121*j**2 + 47*j**2 - 4*j + j + 102*j**2 + 10*j - 10 as q + m*j + y*j**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28.62 - 28.62. What is the closest to 0.03 in d, 17, -0.2, -2\/17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 17.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 j, and 1 n when three letters picked without replacement from nkjnrkjknjrpknrknn?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 157665, 2.4.\nAnswer: 2.4, 31, 157665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -625, -1, 5, 3, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -905\nAnswer: 90.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*w + 24 - 2, -w = 4*t - 7. Does 18 divide (-478)\/(-4) - t\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630282673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/144 and -23\/17426320.\nAnswer: 156836880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 5*i + 19. Calculate h(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2354 + -2345. Let i(n) = -n**2 + 14*n - 37. What is i(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.1 (c) -516 (d) -4 (e) -1\/4 (f) -7\/16 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 116, 2\/17, 4, 0.34, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcooiioicwioiixc. What is prob of sequence coc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j. Let i(k) = -16*k - 3. Let r(q) = 17*q + 4. Let m(n) = 4*i(n) + 3*r(n). Calculate -4*m(u) + 9*y(u).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51687 divided by 9.\nAnswer: 5743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**3 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmm when three letters picked without replacement from {u: 5, m: 6, t: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 972972?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (3 + 9)) + -61 + 75\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1277, -2552, -3831, -5114, -6401, -7692?\n\"Answer: -2*q**2 - 1269*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 48 = 48. Let y = 45 - b. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 285943885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.6115066 centuries?\nAnswer: 6.115066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 625915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*f = 519*f - 375*f - 5148 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50055185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 47*o**8\/112 + 13*o**4\/24 - o**3\/6 + 4*o**2 - 28*o. Find the second derivative of h(c) wrt c.\nAnswer: 2820*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 9*x + 135. Let b = x + 19. Let s be (-2)\/4*(b - -8). What is s rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 6. Let w(k) = -2*k + 13. Let b(d) = 13*o(d) + 6*w(d). Let h(n) = 5*n**2 - 4*n**2 - 4*n**2 - 4*n**2. Calculate h(b(v)).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 961475746 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 53488730 to the nearest one hundred thousand.\nAnswer: 53500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 9 = -7*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2*x)**7\/(x*x**(-2))**(-21) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20795132 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 times 5?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from {d: 1, q: 3, b: 7, j: 4, r: 2, m: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/42016 and 45\/52.\nAnswer: 42016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l**2. Let t(a) be the third derivative of 7*a**4\/12 - 5*a**2 - 33. Determine t(v(x)).\nAnswer: -126*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 13 - (-2 + 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*o**2*u**3 - 3*h**3*o*u**3 - 20*h**3*o*u**2 - 7*h**2*o*u**2 + 456*o**2*u**3 wrt o?\nAnswer: 4*h**3*u**3 + 912*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2024*a + 3682. What is the ten thousands digit of o(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/3 - 92*u**3\/3 + 382*u**2 - 2024*u\/3 + 968\/3.\nAnswer: 2*(u - 22)**2*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + t**3 - 1 - 1 - 2 + t**3 in the form d*t**3 + k + c*t + w*t**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**4 - x**3 - x**2 + 1. Let g(u) = -3*u**4 + 55*u**3 + 7*u**2 + 2*u + 2. Let l(j) = -2*a(j) + g(j). What is the third derivative of l(z) wrt z?\nAnswer: -24*z + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + (sqrt(99) + (sqrt(99) + (1 + sqrt(99) - sqrt(99)) + 4 - sqrt(99)) + 1 - -3*(5 + -1*sqrt(99))))**2.\nAnswer: -228*sqrt(11) + 757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -148. Let m(a) = -103 + 53 + l. Let f(c) = c + 4. Give -5*f(q) + 4*m(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -114425, -114753, -115081, -115409, -115737?\n\"Answer: -328*j - 114097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, f: 9, z: 1}. What is prob of sequence ggzf?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 - -135. Let f = 0.6 + -1. Which is the third biggest value? (a) f (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 155?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3*5\/(-15))\/(8\/6*(-45)\/(-2220))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -14817*s + 592670. What is n(40)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7865, -7786, -7589, -7220, -6625, -5750, -4541?\n\"Answer: 9*g**3 + 5*g**2 + g - 7880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -15*q - 256. Let l be h(-19). Sort l, -1\/5, 2, -4\/3.\nAnswer: -4\/3, -1\/5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 28 + 0*f + 1\/2*f**2. Let h(v) be the third derivative of 17*v**5\/60 + 4*v**2. Calculate o(h(a)).\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*j**5 - 6*j**3*s**2 - 165*j + s**2 wrt j?\nAnswer: 520*j**3 - 36*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 4*q**2 + 4*q + 8. Let v(t) = 2*t**3 + 8*t**2 + 9*t + 17. Let w(o) = 9*f(o) - 4*v(o). Let g = 363 - 367. Give w(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/8 (b) -1\/2 (c) -1\/3 (d) -14\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23287*k**3 - 292*k**2 + k - 37 wrt k?\nAnswer: 139722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y - 5. Let f(h) = -4*h - 5. Let r(a) = 3*f(a) - 2*q(a). Differentiate r(m) with respect to m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - k = -3*k + 129, 0 = 2*s - 2*k - 76. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (7 - (-23 - -18) - 36).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 6*i**2 - 3*i - 5. Let l be n(5). Suppose 1043 = l*h - 72. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from uuarrauuaru?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -5*b + 5*j, -4*b + 36 = 4*j - 9*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -6. Suppose g*d - 2 = -d. Solve -5*r + 3*w + d = 0, 4 = 2*r + 3*r - w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 8*y**2 - 8*y - 3. What is the remainder when 533 is divided by i(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13133 + 13134 - 26266 + 721*v as x + o*v and give o.\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 at most -181015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 188053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/16 and 69\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251 - 251 - 80*b**2 - 108 + 610.\nAnswer: -80*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9542760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/7 - -2\/35. Let s = -0.92 + 0.62. Suppose -2*p + 5 - 13 = 0. Which is the third smallest value? (a) t (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 16*p**2 - 8*p + 5. Suppose 3*f = 14 - 62. Does 19 divide b(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 11*i - 1. Let q be u(-4). Let n be (-7)\/q - (-10)\/(-3). What is the units digit of -26*(-1 - 9\/n)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 85*i - 2561. Determine s(30).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**5\/160 - y**4\/32 - 3*y**3\/16 - 5*y**2\/16 + 6*y. Factor g(s).\nAnswer: (s - 5)*(s + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 97287568 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 41 - (-87 - -85)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 9 = -3*s - 1, q + 1 = 2*s. Let y = -347246 + 347250. What is the closest to q in -0.05, -0.5, y, -2\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 10. Let c be m(5). What is the greatest common factor of 40 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 335, 1176, 2347, 3848, 5679?\n\"Answer: 165*j**2 + 346*j - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30122 (base 4) to base 3.\nAnswer: -1002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 7*w + 28, -4*x + 10 = -w - 18 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 12 = 6*y. Suppose -y*i = -k + i + 9, 0 = 4*i. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3595, 7216, 10839, 14464, 18091, 21720, 25351?\n\"Answer: y**2 + 3618*y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289 (base 11) to base 14.\nAnswer: 1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (-126 - -3 - -84).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 362 and 160902.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 333250*h. Let w(l) = 2873*l. What is -4*i(s) + 465*w(s)?\nAnswer: 2945*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 1. Let b(a) = 44*a - 33. Let z = -30 - 3. Let k(u) = z*x(u) + b(u). Let r(c) = 2*c**2. Give k(r(f)).\nAnswer: 154*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + s + (3*s + 2*s - 2*s)*(3 - 3 - 1) + 0 + 0 + s + (3*s + 2*s - 3*s)*(2 + 2 - 3) + 4*s - 2*s + 0*s - 2 + 2 + s in the form c*s + f and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2309\/15 - -154. Let s(u) be the second derivative of 0*u**3 + 0*u**2 - 5*u + 0*u**5 - l*u**6 + 0 + 1\/3*u**4. Find the third derivative of s(n) wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.82 or 263926?\nAnswer: -8.82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*s + 11 = -19, 5*s = 5*n - 70. What is the units digit of (n\/(-25)*2)\/(4\/(-470))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -z + 1, 3*n = -n - 3*z - 10. Let p be ((-136)\/(-51))\/(n\/3*1). Suppose 2*o + 4 = -6. Put p, 1, o in descending order.\nAnswer: 1, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 1744*r - 144096.\nAnswer: 2*(r - 948)*(r + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2455 - -2607.9. Let i = 271 - 124. Let t = i - g. What is t rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*m + 3 + 5 = 0, -3*m - 12 = o. Which is the second biggest value? (a) -2\/13 (b) -0.11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*m - 26, -4*a + 13*m = 12*m - 25. Solve 3 = -a*b + 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -m - 5*r, 3*m + 6 = 2*r - 0*r. Suppose m - 69 = -23*y. Solve y*o = -9 - 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**4\/24 + v**3\/2 - 2*v**2. Let o be s(6). Let p = 6 + o. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*3069965.\nAnswer: -15349825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 265426323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -279\/7. Let w be (-2)\/(-5) - 192\/180. Sort -1, s, w in decreasing order.\nAnswer: s, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 divide 134730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 364999443022.7 and 10.\nAnswer: 364999443032.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139.264 - -0.264. Let h = b - -138.999748. What is h rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4206036 = -0*j. Let h = j + -6197988. What is h rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**3 - 595*v**2 - 57100*v - 912000 = 0.\nAnswer: -480, -95, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 43. Calculate the remainder when (3\/9)\/((-3)\/(-207)) is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -796705*p**4*x**3 + 8*p**3*x**3 - 25*p**2*x**3 - 180*p**2*x + 91*p*x**3 + 2*p*x wrt p.\nAnswer: -19120920*p*x**3 + 48*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*f - 93*f - 40 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 2. Let v = s - -2.8. Which is the third smallest value? (a) -3 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**4\/12 - 6*u**2. Let o(v) = -14*v**2. Give g(o(m)).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.9 + -11. What is the closest to c in 1, 4, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-r - 3 + 3)*(r**4 - r**4 - 4*r**4 + r**4 - r**4 + r**4 + (3*r - r**2 - 3*r)*(r**2 + r**2 + 0*r**2) - 3*r**2 + 3*r**2 - 2*r**4).\nAnswer: 7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -16 - -1) + (-91 - -82)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/2, -4, 5, -9.652, 2\/3 in decreasing order.\nAnswer: 5, 9\/2, 2\/3, -4, -9.652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -375783 or -375802?\nAnswer: -375802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77767?\nAnswer: 19, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, q: 3, e: 7, y: 2}. Give prob of sequence qy.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 99413297 to the power of 1\/2, to the nearest integer?\nAnswer: 9971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*c = 3, 0 = 4*a - c - 90 + 72 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/780 + 5\/(-4)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - ((-6 - -1) + 8)) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -14*l. Solve -z = -l*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37\/2 + 19. Let a(s) be the first derivative of -1 - 3\/4*s**2 - y*s**3 + 0*s. Factor a(n).\nAnswer: -3*n*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - (-1 - 11 - -2 - 1403).\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*h - 86265 + 86180 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7441?\nAnswer: 7, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 98489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 10*l**2 - 11*l - 2. Let n be t(-11). Let f be (-14 + 17)*(-4)\/(-6). Is f\/(-4) - 591\/n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odrdrrdodddrrdoodror. Give prob of picking 4 d.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 705885, 1411781, 2117675, 2823567, 3529457, 4235345?\n\"Answer: -x**2 + 705899*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -7*b, 0 = 3*s - 5*b - 60. What is the remainder when 58 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31252852223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + 1 + (-35 - -16) + -34 + -1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/839877 and 121\/10.\nAnswer: 8398770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 6, x: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-80)\/(-50)*5\/(-2). What is the tens digit of ((-225940)\/77)\/(-13)*(-14)\/s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5 = 6, 2*c = 2*w - 8. Suppose -2*k + 2*i = -98, 5*k - 4*i = -w*i + 241. What is the greatest common divisor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, r: 3, d: 3, z: 2, s: 4, m: 1}. Give prob of picking 2 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-80 + 79 + 74)*(3*y**3 - y**4 - 3*y**3) to i*y**4 + h*y + f*y**2 + a*y**3 + l and give i.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 26 = 7*k - 2*t, 5*k + 40 = -5*t. Let d = 15 + k. Let u = 16 - 6. Calculate the smallest common multiple of u and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3238452 divided by -1988?\nAnswer: -1629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134 by -40.\nAnswer: -67\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/75 + 1 + (-7)\/5. Which is the second biggest value? (a) -2 (b) x (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7654 a factor of 596757084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-924)\/(-60))\/(8 - (-730)\/(-100))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-4) + 3\/4. Suppose f = j + j. Suppose -2*y - 18 + 88 = j. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + -2)\/1 - -8. Let q(f) = 84*f + 35. Let k(t) = 7*t + 3. Let w(p) = -70*k(p) + 6*q(p). Let n(o) = -5*o. Give u*w(y) + 11*n(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.218 + -0.892. Let v = h + 0.11. Sort v, 1, 2 in descending order.\nAnswer: 2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 + 44 + -39 + 6 - ((1 - 0) + -2)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17 and -995.84.\nAnswer: -978.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37 + 883?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 488.93693 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, u: 1, s: 1, d: 1, g: 1}. Give prob of sequence gdh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45500000 rounded to the nearest one million?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 8*f + 7. Suppose 2*u + 2*h = -2*u - 32, u + 3 = 2*h. Let b be v(u). Solve b*g - 5*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101541051 not equal to -101541051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 6:18 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u - 6. Let w be c(-4). Let t be (-3)\/w - (-9)\/6. Suppose -l + 6*l - 25 = t. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1799 is divided by 1 + 3 + (-19)\/(608\/(-5600)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b + 44. Let n(r) = -13*r + 90. Let h(w) = -7*c(w) + 3*n(w). Give h(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 38e86?\nAnswer: 38e88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -0.4, 66, 73, -0.1, -9 in increasing order.\nAnswer: -9, -0.4, -0.1, 49, 66, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - (-47 + 6 - (0 + -5)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1\/7, 11\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-6 - (-14 + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13839871 divided by -6?\nAnswer: -13839871\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3135525 divided by -2155.\nAnswer: -1455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l - 13. Let i(g) be the second derivative of g**3\/2 - 9*g**2\/2 + 5*g. Calculate -5*h(m) + 7*i(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 > -6\/54935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 231279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 873*n**2*y**2 - n**2*y - 2*n**2 + 9575*n*y**2 + 270766*n + 3*y + 1 wrt y?\nAnswer: 1746*n**2 + 19150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 65 (b) 0.1 (c) -0.4 (d) -0.0015 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7413 - 3567. Suppose -52*n + 50*n + l = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6878 and 0.0232?\nAnswer: 6877.9768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-170915)\/(-20)*(390\/(-715))\/(3\/(-22)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 16 = 1. Let r(t) = 0*t - 3*t**i - t**2 - t + 0*t. Let j be r(-1). Is j at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2466930, -2466934, -2466938, -2466942, -2466946?\nAnswer: -2466950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 + (0 + 123 - -3) + 0 is divided by 55?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2912 and 10780462?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -3 - (-2)\/(-36))*-3. Let z = -116.3 + 108. Let s = z + 8. Which is the second biggest value? (a) -2 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/11 in -0.3, 0, -1\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 1 - 1)*(-11*u**2 + 6*u**2 - 14*u**2).\nAnswer: 19*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 45*c + 14. Calculate h(-3).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s**2 + 5. Suppose 3*t + 89 = -142. Let m = 74 + t. Let p(z) = -z**2 + 1. Calculate m*b(y) + 15*p(y).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, y: 15}. What is prob of sequence gg?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0*q**2 - 1\/4*q**4 + 1\/3*q**3 - q + 0. What is the second derivative of m(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/292492 and -101\/498.\nAnswer: 877476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bovsbbossvvo. What is prob of picking 1 s and 2 b?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -27. Suppose d*m + 9*m - 36 = 0. Suppose -m*s - 663 = -4*u + 122, u - 191 = -s. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(6322\/763)*(-4)\/(-18)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -12*u**2 - 3*u + 3. Suppose -5*o + 147 = -26*o - 28*o. Let w(z) = 11*z**2 + 3*z - 2. What is o*w(q) - 2*i(q)?\nAnswer: -9*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 2*p - 16, 4*x - 14*p = -10*p + 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(210\/(-56))\/(198\/(-44)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or 5459397?\nAnswer: 5459397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000335 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 6. Let r be 10\/5 - (8 - 0). Let n be j(r). Suppose n*h = -2*h + 2*k + 16, -4*h = 2*k - 2. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -23. Let n = 38 - u. What is the remainder when 44 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16581, -16482, -16323, -16104, -15825, -15486?\n\"Answer: 30*z**2 + 9*z - 16620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -85844, -171788, -257720, -343634, -429524, -515384, -601208, -686990?\n\"Answer: x**3 - 85951*x + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61176*h**2*r**3 - 2*h**2*r**2 + 2753*h*r**2 - r**2 wrt r?\nAnswer: 367056*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/36 - 1 - (-48)\/27. Suppose 27 = -t*j + 87. What is the remainder when j is divided by ((-14)\/(-1))\/2 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 2:52 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*z**2 + 303*z - 303*z)*(-4 + 1 + 1)*(-11*z**2 - 3*z**2 + 2*z**2).\nAnswer: -984*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3983458.15 rounded to the nearest 1000?\nAnswer: -3983000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6) - (-1)\/3. Suppose z = -5*m + 13 + 12. Suppose 5*j - 15 = -m*y, -3*y - j + 3 = -4*y. Solve 4*h + y*r = -r - 7, -2*h = 4*r - 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/15092 and -23\/6468?\nAnswer: 45276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 5 - -1 - ((3 - -53) + -63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.3 + 4.2. Let u = 0.1 + y. Let o = u + 4.9994. What is o rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 5200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 19*v**2 - 17*v**2 - 5 + 25*v**2 - 8*v + 1. Is i(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10007 + 10018. Which is the second smallest value? (a) -1 (b) 1\/7 (c) 1 (d) w (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r - 9763 = 34369 + 11200. Is 53 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498990191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/6)\/9*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 50, -4\/9, 5?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-3) - 3) + 2. Suppose 4*f - 3*k - 27 = w, 2*k - 4 = 2*f + 4*k. Suppose -f*s + 11912 = -21088. What is s rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(112) + 1 - sqrt(112)) + sqrt(112) + ((sqrt(112) - 2*sqrt(112)*3)**2 - sqrt(112)))*2 + 0.\nAnswer: 5602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2572*g - 426?\nAnswer: -2572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 18*f - 67. Let n be d(20). Let p be 60\/n*9\/(-2). Solve -2*g + 0*g + p = 4*s, 4*s - g = 19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 + 56 + 2*m**3 + m**2 + 2*m**3 - 36*m - 318.\nAnswer: 4*m**3 + m**2 - 36*m - 262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 60443?\nAnswer: -60442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.679 - -8.4. What is v rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -504293 and 24.5.\nAnswer: -12355178.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2041*a**5*t**3 - a**2*t**2 + 184*a*t**2 - 2*a - 4*t**3 wrt a.\nAnswer: -122460*a**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 + 6*b - 4. Suppose -63*g = -57*g - 24. Give q(g).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlz when three letters picked without replacement from lllzllzlllll?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1756?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 12:06 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16751 - 8606. Suppose -2*f - m = -22143. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000379657466 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5\/4 - 17*f**4\/4 - 97*f**3\/4 + 233*f**2\/4 + 222*f - 252 = 0 for f.\nAnswer: -4, 1, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1639 - -1638.4. What is the closest to b in 0.8, -7, 5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43536 + 1157*i - 43536 as l*i + g and give l.\nAnswer: 1157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.662 minus 20?\nAnswer: 2.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35127 - 31191.6. Round w to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p**3 - 77*p**3 - 18 + 12*p + 26*p**3 + 2*p**4 + 20*p**3 + 16*p**2 = 0. What is p?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*t**2 + 36 + 10*t + 3*t**4 + 33*t**2 + 96 + 37 to p + w*t**3 + i*t**4 + v*t + x*t**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/3)\/(12\/(-1494)).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**6\/960 + 7*j**5\/480 - 20*j**2. Determine h, given that f(h) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/(-36))\/((-2)\/(-15))*48. Let t be (-228)\/j + 3\/(-4). Factor 1\/5*f**4 + 0*f**2 - t + 2\/5*f**3 - 2\/5*f.\nAnswer: (f - 1)*(f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36750920 to the nearest integer?\nAnswer: 6062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -543, -2057, -4555, -8037, -12503, -17953, -24387?\n\"Answer: -492*k**2 - 38*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1693065 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 22460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*y + 8. Suppose -3*b = -5*b + y. Let k = 4 - 4. What is the third smallest value in b, k, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 10:49 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -798497.45 to the nearest one thousand.\nAnswer: -798000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 701, 2258, 4835, 8432?\nAnswer: 13049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21439 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m + 1. Let n(l) = l. Let v(c) = 4*n(c) + t(c). Let d be v(-3). Suppose 5 = -z + 1, -5*h = d*z - 169. List the prime factors of h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17717 - 31376805\/1771. Let w = d + -104501\/10626. Let f = -2343\/5 + 37633\/80. What is the common denominator of f and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (99\/44)\/(1 + 10\/(-16)). Suppose c*a = a. Solve a = -0*r + 3*r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**5)\/n**(-7))\/(n\/n**(-8)*n**(8\/5)\/n) assuming n is positive.\nAnswer: n**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (0 - (2 + 11)). Suppose -g + 5*k - o = 6, 2*g = -3*k + 18. Factor -2*i**g + i**2 - i**3 + 4*i**3.\nAnswer: i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/9)*i*i\/(i*i**(-3))*i**(4\/9)*i**(-2\/15)*(i**(1\/4))**(2\/37)\/(i*i**1)**(-2\/53) assuming i is positive.\nAnswer: i**(737353\/176490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1437891235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8*h. Let t(x) = 2376*x. Give g(t(q)).\nAnswer: 19008*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*z - 7684 - 29 = 0, 3*u + 4*z = 23177. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*b + 25, -112*v - 205 = -117*v - 5*b. What is the remainder when 233 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00640983347 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z**2 - 1526*z - 47173. Give g(-36).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 4*s**2 + 3*s + 4. Determine b(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -3*q + 30, -4*q + 3*m = 12 - 47 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 5. Let k be f(-4). Let j be (k\/2)\/(4\/(-40)). Suppose 5*t + 23 + 120 = 2*p, -j*p + 2*t = -326. What is the highest common divisor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 475 + -473.27. What is k rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.87673 nanometers to meters.\nAnswer: 0.00000003887673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/22840 and -32\/19308365?\nAnswer: 154466920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2091*f**3 + 19*f**2 + 1051*f**3 + 1043*f**3 in the form w*f**2 + k + r*f**3 + u*f and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.376 + 0.006. Let i = 4 + -5.4. Let l = i - x. What is the third smallest value in 0.1, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/23388 and -26\/63.\nAnswer: 491148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(1 + 21\/(-3)) - (-17549)\/16350.\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 470*s**2 - 1884*s - 2333. Give h(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.596407 to 3 dps.\nAnswer: -0.596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 7*w - 34. Let z be (-2)\/(-5)*5*3. Let s be z\/w*(-2)\/6. Is s <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*s**2 - 10 - 14 + 23)*(-s + 3*s + 0*s).\nAnswer: -96*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-2 - ((-34)\/(-2) + 6996\/(-318)). Suppose 3*j = -2*j - 5. Put 1, j, p, 5 in descending order.\nAnswer: 5, p, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -65. Let c(y) = 2*y**2 - 11*y - 59. Is c(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 3458*a**3 - 2*a**2 + 787*a**3.\nAnswer: -2671*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 9 - 3. Let f be (x\/8)\/(2\/56). Suppose -4*j = -5*s + 3 - f, 4 = -2*j - 4*s. Calculate the remainder when 6 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 350\/(-76)) + 26\/(-247).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 17*m**2 + 41*m - 9. What is the remainder when g(-20) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(15 - (-39)\/(3549\/(-1300)))?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11550 by -45.\nAnswer: 770\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 950604 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzbb when four letters picked without replacement from bnhnznbznh?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-120))\/(14\/5).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -4518, 2, -7, 4, -4 in descending order.\nAnswer: 4, 2, -1, -4, -5, -7, -4518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(1 - 1\/2). Suppose 0 = 6*w - 2*w + z*m - 52, -3*w + 38 = 2*m. Calculate the remainder when 40 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -r - r. Let g be r\/(-20)*1*30. Calculate the highest common divisor of g and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -5*b**4\/3 + 184*b. What is g(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6475 and 164650?\nAnswer: 1152550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21040205 is divided by 857?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -12728.\nAnswer: -12727.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22391.04l in millilitres?\nAnswer: 22391040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 3*r**4\/8 + 8297*r**2. Let i(x) = 17*x + 5. What is i(u(f))?\nAnswer: 153*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732300 rounded to the nearest 10000?\nAnswer: 1730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265, 267, 269, 271, 273, 275?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 17. Let h(q) = 6520*q + 85. Determine 2*h(j) - 10*x(j).\nAnswer: 13030*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20719395*b**4 + 2*b**2 - 35680491*b wrt b.\nAnswer: 248632740*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196009\/123003 - (7\/(-2))\/((-18)\/8)?\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 2*k - k)*(-3 + 5 - 5)*(3*k + 2*k - 2*k).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -11247443335.\nAnswer: -11247443332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 + 34\/9. Suppose a*m = 63 + 33. What is the lowest common multiple of m and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**8\/252 - 4*o**7\/105 + 105*o**2. What is k in f(k) = 0?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/6*(-360)\/(-50). Let z = 63 - 29. Suppose 0 = 38*l - z*l - 32. What is the highest common divisor of b and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188754 is divided by 165.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umummumumm. Give prob of picking 1 m and 3 u.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**38*(i\/(i*i**0))\/(i\/(i*i**(-3)*i)))\/((((i**(-2\/17)\/i)\/i)\/i**0)\/(i\/(i**(-1)\/i*i))**(-48)) assuming i is positive.\nAnswer: i**(-2937\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08, -0.2, -12, -17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 9:58 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (33164*1)\/((-48)\/(-72)) + 5. Suppose 2*q - 99497 = -25*a + 22*a, -q - 4*a + h = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7 + 26 = -5*v, v + 5*g = -12. Let n be (-641)\/(-1078) + v\/49. Let f = n - 11\/49. What is the common denominator of f and 75\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-20)*-12 - -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(15\/4))\/(((-704)\/495)\/(-16))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 27*h + 341. What is t(21)?\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 47, 11, -59, -175?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304 - (4 - 4) - -5.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 + -76. Let v(p) = 8 - 70*p + n*p + 3*p**2 - 2*p**2. Calculate the remainder when 30 is divided by v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one half of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: 0.14 * -0.064\nAnswer: -0.00896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-10)*((-160)\/35 + 4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/301 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 317.34*-13170\nAnswer: -4179367.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000180914 to seven decimal places.\nAnswer: -0.0000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -31. 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 the distance between -941 and -0.1?\nAnswer: 940.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1087? (a) 3 (b) -5 (c) -161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3*o + 4 - 24 - 46 = -5*x, -5*x + 73 = o for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -20*u + 588. Calculate s(30).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9551.134ms in seconds?\nAnswer: 9.551134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = 1. Let l = 1313 - 1301. Solve -o = p*o - l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tibx when four letters picked without replacement from bxbxbxxbxtpipxxxbxbb?\nAnswer: 7\/12920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -1\/24*m**4 + 1\/30*m**5 - 1\/105*m**7 + 0*m**3 + 0 + m**2 + 1\/336*m**8 + 0*m + 0*m**6. Factor z(b).\nAnswer: b*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 5*c**2 + 4*c - 4. Let r be q(-4). Let v = -2800 - -2802. Sort 5, r, 8, v in descending order.\nAnswer: 8, 5, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o + 12 = 0. Let m = -4 - -3.7. Let l be 2*3\/(-6)*2. What is the nearest to l in m, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145623963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 1\/2, -0.4, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z + 6. Let d(l) = l - 1. Let i(q) = 6*d(q) + s(q). Let m(u) = 5*u + 3. Let t(n) = -1. Let g(j) = m(j) + 3*t(j). What is g(i(v))?\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -268.23 - -263. Let c = -0.23 - q. Let t = 23\/2 - 11. Sort t, -3\/8, c in increasing order.\nAnswer: -3\/8, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -0.18 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17687382?\nAnswer: 2, 3, 2947897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7247.\nAnswer: 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 7*i**2 + 3. Let w be h(-7). Suppose w*o - 5*l = 2*o + 21, 6 = -2*o - 2*l. Solve 4*n - d + 6 = 0, n - 3*d + 4*d = o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) - 759\/9. Let p = -1 + 3. Let s be p\/8 - x\/(-20). Which is the third smallest value? (a) s (b) 1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1215 is divided by 519?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 767 divide 27765735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 14*g - 8. Let v(k) = -9*k + 5. Let j(n) = 5*h(n) + 8*v(n). Let p(x) = -x**2 + 3*x + 4. Let b be p(4). Let t(u) = -2*u + b*u - u. Determine t(j(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - f - 4 = 0, 5*g - 3*g - 2*f = -10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 332, 682, 1030, 1376, 1720, 2062, 2402?\nAnswer: 2740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(18)\/sqrt(3)*5)\/(-6*sqrt(6)\/sqrt(3)*-1)*-3.\nAnswer: -15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42722 and 4168.\nAnswer: 170888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/475020 and -125\/9048.\nAnswer: 950040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1*9\/45).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drdfiiez. Give prob of sequence rfe.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 104 = 2*q, 6 = -p - 5*q + 2. Let f = 20 + p. Which is the smallest value? (a) 0.1 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**5\/3 - 1481*a**4 + 20362*a**3\/3 - 26524*a**2\/3 + 1176*a + 7072\/3 = 0. What is a?\nAnswer: -2\/5, 1, 2, 884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/(-6) - -1) + (-268)\/(-24). Solve 0 = 2*a + 1 - f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 16. Let c(r) be the second derivative of -1\/6*r**3 + 0 + 10*r + 0*r**2. What is c(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 5:15 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-171)\/(-285))\/(-7*72\/84000)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.55 + 0.05. Let u = -6 - r. Let z = u + 4. What is the smallest value in z, 4\/7, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101222021 (base 3) in base 10?\nAnswer: 7999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -20, 11*u - 15*u = -2*l - 582. Suppose -5*j - 5*w = -1495, 2*w = j - u - 150. Does 33 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -4*w - 99840 + 99966, -c + 60 = 2*w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -387 - -743. Let r = y - 355.99999839. Round r to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3151 + -12?\nAnswer: -3163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1824943, -1824949, -1824957, -1824967, -1824979, -1824993?\n\"Answer: -n**2 - 3*n - 1824939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2184008 (base 9) to base 5.\nAnswer: -300133333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(275) + 1*(sqrt(275) + 0) + (2 + sqrt(275) + (sqrt(275) - (1 + sqrt(275)) - sqrt(275)))**2) + -4)*1.\nAnswer: -3 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1175476, -1175496, -1175566, -1175716, -1175976, -1176376, -1176946, -1177716?\n\"Answer: -5*s**3 + 5*s**2 - 1175476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18*20\/(-8)*-1. Let k = i + -53. Let j be (k\/16)\/((-1)\/8). Solve -4*z + 2 = 2*h, z + 9 + 13 = j*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -71*k**5\/60 - k**3\/6 + 9*k**2 + 368*k. What is f(1)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 395 - 391. Let z(d) = 11*d - 9. Give z(a).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 70 = 4*u + 227, 0 = 4*u + 12. Which is smaller: -97 or p?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**4 - 717*m**3 + 519*m + 3324733.\nAnswer: 4*m**3 - 2151*m**2 + 519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3753252838?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7.2 - 19.7729349894\nAnswer: -26.9729349894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 13*g + 22. Let h be o(9). Let k = -35 + h. Let z = -12 + k. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 3. Let n(t) = -1. Let m(k) = k**2 + 40*k - 175. Let j be m(4). Determine j*f(w) - 5*n(w).\nAnswer: w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0 (c) -2\/3 (d) 4 (e) -35 (f) -102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -302 - -305. Suppose -d*y - 6946 = -26*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2))**(-34)\/((j\/(j**(-9\/5)\/j))\/(j*j**9)) assuming j is positive.\nAnswer: j**(116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 2\/9, 2.8, -35?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(10\/(-100))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**4 - 290*z**3 - 6120*z**2 - 54910*z - 171955 = 0.\nAnswer: -17, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10344897 is divided by 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2. Let v(k) = -2*k**2 + 80 - 80. Calculate v(q(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**0)**(-26)*r*r**(-1\/3)*(r*((r*r*r\/r**(2\/3))\/r)\/r)\/r assuming r is positive.\nAnswer: r**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/4)\/(51\/(-1088)*(-1072)\/201).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 12*m - 13. Let w be ((-11)\/(-2))\/((-4)\/(-8)). Let y be p(w). Sort -0.3, y, -1.\nAnswer: y, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/3)\/j)\/j)\/j*j*j)**6*(j*j**2)**(-40) assuming j is positive.\nAnswer: j**(-122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(5 + 4*j + 6*j - 12*j).\nAnswer: 4*j - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 s, and 1 b when three letters picked without replacement from ssmssmmbshsshsshssm.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 232*m**2. Let z(l) be the first derivative of -10*l**3\/3 + 852. Calculate z(h(q)).\nAnswer: -538240*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 5:48 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.56 and 180120.\nAnswer: -280987.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g - 14. Suppose -11 = -5*b + 19. Let r = 6 + -16. Let x = r + 27. Let y(u) = u + 5. Calculate b*h(n) + x*y(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -74?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 54812?\nAnswer: 109624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 23. Let d be c(-15). Suppose 3*j - 132 = -j - 2*v, 2*v + d = j. Round j to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 0 + -55 + 37 + (3 - (-14 + 3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 + -5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3611, -13915, -30923, -54629, -85027?\nAnswer: -122111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7784440 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8 - 3 - 2*j + 3*j. Suppose 3*s + 46 = -4*b, -5*b + 65 = 80*s - 85*s. Determine t(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*q = 15, 0 = -2*p - 5*q - 0*q - 15. Let u be (5 - 2)*2\/6. Suppose -i + u + 16 = p. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1211 (b) -17 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 3:49 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901 = -7*b + 817 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 + c**2 - c + c. Let m(n) = 8*n. What is m(l(d))?\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/30*(-2)\/(-1). Let i = -12 + 14. What is the nearest to 1\/3 in m, i, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11662470 and 194526.\nAnswer: 1247884290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5215\/(-60) + ((-38)\/20 + 2)\/((-5520)\/4600)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -49.2, -2\/1675?\nAnswer: -49.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5528*k + 3676*k - 9241*k.\nAnswer: -37*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 * -0.331\nAnswer: -0.04634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6111511, -12223131, -18334753, -24446377, -30558003, -36669631?\nAnswer: -42781261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(1 + 3 - 3)*(-g**3 - 7*g**3 - 2*g**3) + 24*g**2 + 2*g**3 - 16*g - 24*g**2.\nAnswer: 22*g**3 - 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 7:20 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001194250421 to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 22640060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/3)\/(5 - (-2480)\/(-495)). Let h be 7\/2*r*18\/693. Factor -1\/4*i**4 + h*i**3 - 16 - 13*i**2 + 24*i.\nAnswer: -(i - 4)**2*(i - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 30521*m**2 - 22*m - 21566. Let f(l) = 22890*l**2 - 16*l - 16174. Let g(s) = -11*f(s) + 8*y(s). Find the first derivative of g(v) wrt v.\nAnswer: -15244*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -290 - -322. What is the lowest common multiple of a and 9?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 82 = 5*g - 4*g, 0 = n + 2*g - 29. Calculate the remainder when 318 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 99170 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {g: 9, q: 9}.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 13920?\nAnswer: 41760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g - 4. Let x be g\/5*1*70. Let y = 56 + x. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.7 + -17. What is the closest to 2\/11 in -0.1, q, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -5 + 4 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 116.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -540*i + 544. Give o(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 6. Suppose 3*z - q - 49 = 0. Let h(g) = g**3 - g**2 + 3*g. Calculate the remainder when h(4) is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2 - -1915)*-8*(-31)\/124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 2*c - 440 = 0, 2*z - 2*c + 16407178 - 16407274 = 0 for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 152 - 291 + 132)*(-2*k**2 - 2 + 2).\nAnswer: -8*k**3 + 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1084 + 1081. Sort -2\/15, 3\/4, -0.7, y in increasing order.\nAnswer: y, -0.7, -2\/15, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 9 - 44. Suppose 22*z = -36 + 80. What is the smallest common multiple of b and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.4, -0.2, -1, 98, 3925?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w + 177. Let m(h) = -47*h + 16. Let g(l) = -8*l - 1. Let z(p) = 6*g(p) - m(p). Determine 4*j(s) + 33*z(s).\nAnswer: 3*s - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10*w. Let p(l) = -10*l - 527 + 523 + 4*l. Let r(n) = -6*n - 3. Let i(a) = 3*p(a) - 4*r(a). Give i(k(c)).\nAnswer: 60*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -260*x**2. Let y(w) = -2*w**2. Calculate y(t(s)).\nAnswer: -135200*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 348 and 420.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**25*l)\/l**2)\/((l**(-3)*l)\/l**(-21)) assuming l is positive.\nAnswer: l**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6584 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 3, 5, 2\/7, -0.581, -146\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(12)\/sqrt(96) - sqrt(2) - (sqrt(2) + 1 + -5 - sqrt(2)))**2 + (-5*(sqrt(162) - sqrt(162)*1)*2)**2.\nAnswer: -6*sqrt(2) + 169\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2. Let m(n) = -n**3 + 14*n**2 - 4*n + 1. Let y(b) = -6*c(b) - m(b). List the prime factors of y(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 8 = -725*d + 727*d, -l - 28 = 7*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d = 16. Calculate the least common multiple of d and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3942?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.26\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 11. Determine w(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - j**2 + 2*j. Let h(o) = -9*o**3 + 24*o - 24. Let t(v) = h(v) - 6*k(v). Factor t(b).\nAnswer: -3*(b - 2)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3137 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-5 - -10) - (-5 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g - g - 5 - 10. Suppose 0 = 5*i - 4*o + 56, -5*i = -4*o - o + 60. Let f be n(i). Solve 0 = -2*r + 10, -2*u + 3*r = -0*r + f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 16 = -4. Let r = 2.99 + 3.01. Which is the second smallest value? (a) k (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38.3 + 35. Let a = -63.3 - d. Let b = a - -59.9999949. Round b to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -507*s**4 - 24*s**2 - 1?\nAnswer: -12168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = -17*u + 6815. Let z = 281 - u. What is the highest common factor of z and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13937, 55532, 124857, 221912?\n\"Answer: 13865*f**2 + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1484 by -106.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b - 26?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 14884816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29888 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*p - 6, b + 0 = p - 3. What is the third smallest value in -0.2, b, -3\/8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - 0. Let z = o - -0.27. Sort z, -0.5, 1\/2 in increasing order.\nAnswer: -0.5, z, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2174, -4387, -6638, -8933, -11278, -13679, -16142, -18673?\nAnswer: -21278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (73840\/(-13632))\/((-5)\/(-2)).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12203 - 11679. Solve -d*k = -541*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -25?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/112 and -37\/15.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(75) + sqrt(75)*1 + sqrt(75) + sqrt(75))*-4)**2 + sqrt(324)\/(sqrt(12) - (-2*sqrt(432) + sqrt(12))).\nAnswer: -1919*sqrt(3)\/4 + 19209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + p**4 - 13*p**4 + 13*p**4 + 47*p**2 to the form h*p**4 + u*p + w + k*p**3 + d*p**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 5 + 5)*(z**4 + 2 - 2) + (-3*z - 3*z**3 + 3*z)*(2*z + 2*z - 3*z) in the form t*z**3 + r*z**4 + o*z + f + h*z**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**3 - 5*m**2 - 13*m - 7 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**4\/24 + r**3\/2 + 2*r**2. Let v be k(0). Suppose 0*z + 82 = v*z + 5*u, 4*u = 20. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-2)*-2*(-1)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 6*t**2 + 8*t + 9. Let v be m(-7). Let l = -1 - -1. Suppose -4*w + 16 + 12 = l. Solve 0 = v*s - w*s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 78. Let z = -60.08 - p. Sort 5, z, -1\/3.\nAnswer: -1\/3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 2. Let b(q) = -9*q - 21. Let k(p) = -2*b(p) - 21*t(p). Let i(s) = -s**2. Calculate i(k(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 - j**2 - 4*j + 5. What is i(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*w - 5 + 1 = 0, -2 = -2*w. Let q = 6 + -4. Let i be (-17)\/18 - (-1)\/q. Which is the closest to u? (a) -3 (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)*g*g**(-1)\/g)**(-28)*(g**1)**(-1\/35)*g\/(g\/(g*g*g**(2\/5)*g*g)*g)*g**(-2\/9)\/g assuming g is positive.\nAnswer: g**(12017\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241 - -578. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3283799 to 3 dps.\nAnswer: -0.328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -3*o - 1560. Find the common denominator of 95\/8 and 17*-4*3\/o.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1634166 - 1634162. Find x, given that -17\/4*x**3 + 0 + 3\/4*x**5 + 3\/2*x - 13\/4*x**2 + 5\/4*x**o = 0.\nAnswer: -3, -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3621704 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/8 + 1621949*b**3\/8 + 810975*b**2\/4 = 0. Calculate b.\nAnswer: -1, 0, 1621950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1769 + -0.2369. Let k(h) = -h**2 + 10*h + 14. Let m be k(11). Put l, 2, m in decreasing order.\nAnswer: m, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 - 6*t + 20*t**2 + t**2 - 3*t**2 in the form p*t + s*t**2 + i and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/90 and 31\/5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, k: 5, x: 2}. Give prob of sequence kssx.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 701482.1 millimeters in nanometers?\nAnswer: 701482100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 j, and 1 n when four letters picked without replacement from smmjndznd?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9702685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 y when three letters picked without replacement from fyyyfyfyyffy?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 2.2 (c) -5 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -112303110022?\nAnswer: 112303110032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 6\/(30\/75*5\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((0 - -11) + (70 - 70) - 32).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -313 times -1.123\nAnswer: 351.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*r + 29*r = 610 - 1987 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2. Let d(x) = x**2 + 3*x - 12. Let t(r) = -731*r**2 + 4*r - 48. Let k(s) = 4*d(s) - t(s). Give k(i(n)).\nAnswer: 735*n**4 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*y + 31466, -5*y + 4*y + 12584 = -2*s. What is s rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**2 + 3*c**2 + 0*c + 3*c + 18*c**4 wrt c?\nAnswer: 216*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + v + 5579, 44*k - 5*v + 16753 = 47*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 394465567?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s - 51. List the prime factors of b(-29).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**3\/3 - 9*f**2\/2 + 20*f - 82. Let z be p(6). Solve 11 = -z*a - q, 2*q + 6 = -4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**18)\/(m\/m**(-42))*m\/(m*((m*m**(-38))\/m)\/m)*m**(8\/3)*m assuming m is positive.\nAnswer: m**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7357 times 3\nAnswer: 22071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 51, 112, 203, 330, 499, 716, 987?\nAnswer: 1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3859414 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2387*l - 12051 = 107299 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 344793751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 13 + 72 + 77 + 58*f + 18. Calculate the remainder when 251 is divided by p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 0*y**4 - 1\/24*y**5 - 1\/360*y**6 + 0*y**2 + 0 - 2*y + 1\/6*y**3. Let f(m) be the second derivative of u(m). Give f(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165706 = -102*o + 169072 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - r - 3 = -0, -3*r = n - 12. Let u(l) = 4*l + 16. Suppose -23*w + 17*w = -642. Let v(g) = 3*g - 4*g + 104 - w. Calculate n*u(x) + 16*v(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1540*f**2. Let b(y) = 71*y. What is b(s(r))?\nAnswer: 109340*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 42*p**2 - 2700*p + 669. Give z(64).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314622\/6810*(-5)\/(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (0 - -3) + -1. Let x be q - (-1 - 8\/(-14)). Suppose -5*z + a = 15, 0 = -z - 21*a + 16*a - 3. What is the second smallest value in z, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-4)*14\/(-98)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04533, -1\/51, -1, -3\/8, 0.4 in descending order.\nAnswer: 0.4, 0.04533, -1\/51, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-5 + 6) - (1 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*c - t + 14, 14 = 2*c - 4*t. Suppose 0 = -2*a + c*a + 45. Let d = a + 23. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -804*b**2 + 1234*b**2 - 1242*b**2 - b**2 - b + b + (b - 2*b + 2*b)*(b - 4*b + b) + b**2 + 3*b**2 - 3*b**2 - 4*b**2 - 2*b**2 + 2*b**2.\nAnswer: -818*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10860 divided by -5?\nAnswer: 2172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - 3*o - 4. Let d(i) be the second derivative of -i**4\/6 - i**3\/2 - 3*i**2\/2 + 22*i - 3. Calculate -3*d(l) + 2*t(l).\nAnswer: 2*l**2 + 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**11*((a\/(a*a*a\/a**(-8\/3)*a))\/a*a)\/a*(a**1)**(-38) assuming a is positive.\nAnswer: a**(-101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5 = -7*f. Let k = f - -3. Suppose k*q - 48 - 44 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 431 and 1034831.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 5*p**2 - 312*p + 1836. Determine g(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351708 and 18444.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 6*f**2 - 2*f + 6. Let a be v(-7). Let b be (3\/(-1) + 21\/2)*2. Let j be (5 + a\/(-15))*b\/3. Solve 0 = -3*x - j - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -118 (b) 145 (c) -0.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/75)\/(15\/(-100))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 0 - (sqrt(28)\/sqrt(4) + 4)**2) + (sqrt(847) + (sqrt(847) + 0)*-4 - sqrt(847)*-2*-3).\nAnswer: -101*sqrt(7) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1318 + 513 - 1189)*(0*s + 3*s - 4*s) in the form k*s + u and give k.\nAnswer: 1994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125 - 114. Solve 3*z - b = j + 3, 5*z = 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + 0. Let r = w + -0.02. What is the second biggest value in 4\/3, 2, r?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 15*z = -4. Suppose -3*d - 1223 = -z*t, 1531 = 6*t - t - 3*d. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 140595 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.787 times -0.2?\nAnswer: -0.1574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 393 and 786.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 4335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 170629 to the power of 1\/2, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -3 (c) -0.5 (d) -0.2 (e) 0.42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 10402.\nAnswer: 10402.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) + 638\/(-55). Let o be 4 - 3*j\/(-9). Solve o = g - 3 + 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 5*g**2 - 5*g - 6. Let v be y(6). Suppose v = -0*w - w. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4234341 (base 6) in base 3?\nAnswer: 101112000221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8016 + 5424 = 160*r. Solve r = -14*t - 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101221312 (base 4) to base 7.\nAnswer: -5033232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 19093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 8 = -4*i - 4*t, 4*i - 29 = 3*t. Let x(s) = -s**2 - 2*s. Let q be x(-2). Which is the closest to -1? (a) 2 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o = -4. Let c be 2\/(-8)*o*0. Suppose -3*g + 3*s + 48 = c, -50 = -2*g - 2*s - 2*s. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12897, -12836, -12755, -12654, -12533, -12392, -12231?\n\"Answer: 10*z**2 + 31*z - 12938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30*(2\/(-13) + (-88)\/(-65)). Let g be 65\/9 - 8\/d. Suppose -y + 2*y + i - g = 0, 2*y - 3*i = 39. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 0*x = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4941 - -0.502. Round k to 4 decimal places.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*n - 16*n + 50 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 5}. What is prob of sequence xm?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 39 = -91. Let k be 19\/((-114)\/120) - 4. Let x = k - f. Solve -p + 3*n = -20, 7*p + 2*n - 15 = x*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -7*a + 6. Suppose 10 = a*h, r - 2*h + 187 = 58. Let d = -6 - r. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pprrrptrtp. What is prob of picking 2 t and 1 p?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.6235 and -704.\nAnswer: -701.3765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*w - 243 = 17*w + 655 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 1402?\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 55, 421, 1421, 3373, 6595, 11405, 18121?\n\"Answer: 53*f**3 - f**2 - 2*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*c*r**3*y**3 + 200*c*r**3*y**2 - 6*c*r**2 - 7*c + 2*r**3 - 192*r*y - 14*y**3 wrt r.\nAnswer: -264*c*y**3 + 1200*c*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**6\/120 - s**5\/10 + 7*s**4\/24 + 11*s**3\/6 - 3*s**2. Let p be u(4). Let o = 2 - p. Let f(j) = -5*j - 7. Calculate f(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/12? (a) 1355 (b) 11\/2 (c) 0 (d) 1\/2 (e) -0.1 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.1, 7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 1\/210*d**5 + 4\/21*d**3 + 0*d + 7*d**2 - 1\/21*d**4 + 0. Factor w(m).\nAnswer: 2*(m - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j + j**2 + 213457 - 426934 + 213477 - 2*j**3 + 6*j.\nAnswer: -2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24927474?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20 + -183 + 66 + -1 + (-3 - -1) + 16\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 - t**5 + 2*t**5 + (61*t**3 - 127*t**3 + 61*t**3 - 5)*(26*t**2 + 73*t - 73*t) + 3*t**2 - 3*t**2 + t**5.\nAnswer: -127*t**5 - 130*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*o**2 + 2 - 1 - 65*o**2 + (0*o - o + 0*o)*(11*o - 3*o + 15*o) + (2*o**2 + 0 + 0)*(-2 + 2 - 2).\nAnswer: -32*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, p: 1, s: 3, o: 9, v: 1, x: 3}. Give prob of sequence ptt.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g - 3. Let r(x) = 3*x - 4. Let l(v) = 7*n(v) - 5*r(v). Let u(w) = w**2 + 4*w + 3. Let q(b) = 4*l(b) + u(b). What is the units digit of q(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*u - 8*s - 40, -s + 16 = 5*u. Find the second derivative of 13*f + 0*f + 0*f - 8*f**u + 10*f wrt f.\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 24*q = -10, -4*y + 154 = -2*q. Calculate the highest common factor of y and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -228 + 228.0000067. Round g to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 9*b**8\/56 + 11*b**4\/6 + b**2\/2 + 6*b - 2. Find the third derivative of n(m) wrt m.\nAnswer: 1080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 21*k**2 + 2*k - 2. Let q be x(1). What is the tens digit of 2 + (20\/7 + -2)*q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21919844?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1715146.8 + 3.\nAnswer: -1715143.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 3*j = -o + 5, -5*j = 5*o. Let f = 569501\/2812123 + 119\/1993. Let c = f + -12\/83. Which is bigger: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -3\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**4 + 0*p**4 - p**4 + (0 - 1 + 0)*(-15*p**2 + 21*p**2 + 33*p**2)*(-4*p**2 + 4*p**2 + 3*p**2).\nAnswer: -114*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4606 + 0.7606. What is the closest to 1 in 30, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**3 + 36 - 3*t**4 - 37 + 0*t**2 + 2*t + 6*t**2 + 4*t**4 to the form x*t + d*t**2 + y*t**4 + n + z*t**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-232)\/(-5) - (-4)\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*d - 22 = 0. What is the remainder when d is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**4 + 2*a**4 + 3*a**4 - a**4 - a**4 + 0*a**4 + (-7*a**3 + 0*a**3 + 2*a**3)*(-a - 3*a - a) as y*a + i*a**4 + p + o*a**3 + k*a**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d - 21. Suppose w = -2*p + d*p - 19, -9 = -4*w + 3*p. What is the remainder when w is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0. Let v(q) = -q**3 - 9*q**2 + 8*q - 13. Let k be v(-10). Suppose -o - 5*w = -k, -2*o - 2*w + 4 = -o. Solve m - l = 2*m - o, -u*m + 3*l = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346 = -18*o + 238 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 87*m + 1658. Let f be r(-28). Solve -f*x + 8*x + 2 = 2*i, -6 = -2*i + 4*x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 5*x + 6. Let v be z(4). Suppose 5*h - 77 = 3*l - 4*l, l - 4*h - 32 = 0. Suppose l + 18 = v*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.31 to one dp.\nAnswer: 11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 2*w**2 - w - 4. Let d be h(3). Let o be ((-2870)\/21 - -5)\/(d\/48). Round o to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/17)*(((g*g*g\/(g*(g*g**(-7))\/g)*g*g)\/g)\/g)\/g*((g*g\/g**(1\/2))\/g)\/((g\/(g\/(g\/((g\/g**(1\/4)*g)\/g))))\/g) assuming g is positive.\nAnswer: g**(637\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/((-729)\/(-6156)*(-3)\/9)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - l + 0*l - 3*l. Let f(s) be the third derivative of -s**5\/60 - 17*s**3\/2 - 43*s**2. Let u(i) be the first derivative of f(i). Give u(o(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91357186 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18536147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/7)\/(67\/(103649\/(-312))).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-450)\/(-8))*995\/(-398).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1770 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/227430 and -151\/108300.\nAnswer: 2274300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2*y + 3*y)*(114 + 97 - 236).\nAnswer: 25*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4126 - 2538. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*y - y + 31, -4 = -2*y. Suppose d + 3*d + 76 = 0. Let t = d - v. Solve -t = -2*o + n, 4 + 10 = 4*o + n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344) + 1*sqrt(1344) + sqrt(1344))\/(sqrt(7)*-1*2) + -3.\nAnswer: -12*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -i - 3*m - 2*m, 3*m = -5*i + 7. Solve -3 = -i*h - g - 2*g, 2*g = -3*h + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 785\/9 + -87. Let t be 11\/15 + (-6)\/15. Which is the smallest value? (a) o (b) t (c) -0.1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(45)\/(-1*sqrt(1089)) + (sqrt(5) - (-3 + sqrt(5)*1)) + sqrt(5) + sqrt(5) + (sqrt(45)*2)\/sqrt(9))**2.\nAnswer: 258*sqrt(5)\/11 + 9850\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 5:40 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 - c**3 + 6*c**3 + (-3*c**2 + 0 + 4*c**2 + 2)*(3*c - 4*c + 3*c).\nAnswer: 6*c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 5 - 5*l + 4*l**2 - 2*l**2 - 3. Let r be f(5). Is r greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n - n + 3*n + (n + n - n)*(-1 + 0 - 1) + (8 - 2 - 2)*(1 - 2 + 4)*(-1 + n + 1).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + -2 + 22 + 6. Suppose 2*x - 5*g - 19 = 0, 2*x - 4*g - 14 - 10 = 0. Suppose 0*w + 4*v - y = -3*w, 5*v = -3*w + x. Solve -w - 16 = -4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6247104 and 384.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3613*y = 3618*y - 10*c + 15, 0 = -y + 5*c - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72302116 - 72304696 = -30*n for n.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386912762 a multiple of 1704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(-61500)*-123)\/((-54)\/63)?\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/6 and 55\/10*20\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1331*m**2 + 63 wrt m?\nAnswer: -2662*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6*r**2 + 3*r**2 - 2)*((-40 - 5 - 5)*(-4 + 4 + 1) - 1 - 1 + 0) + 3*r**2 + 3*r**2 - 2*r**2.\nAnswer: 160*r**2 + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96924 and 656?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9980 is divided by 829.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**2 - 3145*f + 143126. Calculate x(-1092).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109068.\nAnswer: 2, 3, 61, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -20, -12, 0, 16, 36, 60?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7 + 2*t - t + 3. Let p be u(5). Let r be (p - 0 - 0) + 1. Solve 3 = r*g - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 5*i + 4. Let j(u) = -2 - u**2 + 0*u + 3*u + 0*u**2. Let h(y) = y**2 - 2*y + 3. Let g(p) = -3*h(p) - 2*j(p). Let a be g(0). Calculate r(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5156438 divided by 173.\nAnswer: 29806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2304 and 49920?\nAnswer: 149760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0 = -2*x + 7, 0 = 2*n + 2. Let g(l) = x + l + 5 - 9 + 4. List the prime factors of g(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4044228053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-27) + (-215182)\/58896. Let v = 1\/1227 + q. What is the common denominator of -145\/6 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 7:56 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 46515630?\nAnswer: 93031260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 - (128\/(-36))\/(-1) and -9\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 - 262 = -36*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2686.831ml to litres.\nAnswer: 2.686831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.05 (b) -430\/57 (c) 1\/90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k. Let o(f) be the second derivative of -f**3\/2 + 27*f**2\/2 - 4384*f. Give c(o(g)).\nAnswer: -15*g + 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + t - 100. Find the common denominator of -69\/22 and ((-3)\/t)\/((-8)\/(-410)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.71782 - 0.2.\nAnswer: -2.91782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1178)\/(-2170) - ((-2)\/(-3))\/(20\/18).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -185 + 311. Calculate the remainder when r is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - s**2 + 1. Suppose 31*x = 12 + 19. Give o(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 7*w + 42. Determine x(-11).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -13*z - 50. Let x be o(-12). Let k = 18 - 52. Let f = x + k. What is the remainder when f is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54\/5 + 113\/10. Factor -i*f**2 - 1\/2 - f.\nAnswer: -(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1549935274 to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-2 + 1 - 1)*(28321 + 105*m**2 - 28321).\nAnswer: -420*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0375 + 0.0449. Let i = h + -0.2074. What is the closest to i in 6, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3\/4 - 295*w**2\/2 + 21608*w + 43808 = 0. What is w?\nAnswer: -2, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9434, 9396, 9304, 9140, 8886, 8524?\n\"Answer: -3*n**3 - 9*n**2 + 10*n + 9436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -4, 1, 0.\nAnswer: -4, 0, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y. Let p be j(1). Suppose 20 = 2*n - p*c, -5 = -2*n + c - 2*c. Solve -1 + 0 = l + m, -n*l + 2*m = 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21.092*1.458\nAnswer: -30.752136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00495 to 4 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 8 = -7. Suppose p + 90 = -4*p. Let i = p + o. Which is bigger: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2790*d + 37515 = -286*d - 100796 - 55477 for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*u = 2*u - 10, -5*p = 3*u - 1. Suppose -5*z + 550 = 5*l, -2*l + 210 = -p*z - z. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*t + 137*t + 14610 - 4530 = 0 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ycccyyycyc. What is prob of sequence ycy?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 20. Let i = 7 + -1. Suppose u = 3*t - 9, -7*u = -2*t - 3*u + i. What is the greatest common divisor of r and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-24)\/72 - (49\/(-18) - 0) and -55\/81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/60 + d**4\/12 + d**3\/6 - 3*d**2. Suppose h + 0*h + q - 1 = 0, h + 4*q = -5. What is t(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(63\/6)*36\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48671 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -10 - 4 + 28 - 11 - 4 - 5*k. Let w(v) = 6*v - 1. Let q(c) = 17*c - 4. Let i(x) = q(x) - 3*w(x). Determine -b(f) + i(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -46*(21\/(-6) - -3). Suppose 5*a - 5*j = -2*j + s, -5*j - 17 = -3*a. Solve -a*r + 3*u - 24 = 0, 0 = r + 3*r - 5*u + 32 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 89464.53ml?\nAnswer: 89.46453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127624, 255508, 383392, 511276?\nAnswer: 639160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3386+3.1780879\nAnswer: -3382.8219121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -8*s**4\/23 - 34*s**3\/23 + 94*s**2\/23 + 48*s\/23 - 72\/23 = 0.\nAnswer: -6, -1, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4376000 take away 4.8244?\nAnswer: 4375995.1756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*v - 35 - 36 + 68 + (-5 + 1 + 1)*(-12*v + 10*v + v + 2) in the form n + x*v and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.05\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4042 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f - 10. Let p be g(-4). Suppose -p*q + 72 = 2*q. What is the common denominator of q and 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0*p + 0*p - 3*p + 4*p. Let t(n) = 7*n. Determine t(w(s)).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000239504795 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -455546276, -455546281, -455546288, -455546297?\n\"Answer: -y**2 - 2*y - 455546273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 19822515.\nAnswer: 3\/6607505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 243 = -w, 3*o - 6*o - w = -377. Suppose 4*c = 4*m + 3*c - 144, 159 = 5*m + 4*c. What is the remainder when o is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/7, -0.3, 22323, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -201 + 203. Calculate the least common multiple of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by -87412?\nAnswer: -83\/87412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51484 and 1220.\nAnswer: 257420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2 - 2)*(-1 + 0 + 2)*(37*t + 38*t - 22*t).\nAnswer: 106*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-6))\/(2\/18). Suppose b = 0, -3*b + c = 3*s - 8*b. Let v = 9 - s. What is the lowest common multiple of 9 and v?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*d = 1256. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, v: 5}. Give prob of sequence vh.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 0.046, 3, 1\/4, 2\/19.\nAnswer: 0.046, 2\/19, 1\/4, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -284.9901 rounded to the nearest integer?\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4254365 (base 10) in base 13?\nAnswer: b5c59b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/3110 and -69\/2488.\nAnswer: 12440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**5\/20 + 3*l**4\/4 - l**3\/6 - 23*l**2\/2 + 18*l. Is 19 a factor of i(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 z, and 1 a when three letters picked without replacement from {f: 1, q: 1, a: 1, z: 1, g: 5}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8 - 40*o**2 + 39*o**2 - 41*o + 64*o - 33*o. Determine p(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/23))**(-14)\/((r\/r**(-4\/13))\/r**(-1\/13)))**(-23) assuming r is positive.\nAnswer: r**(4236\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*m**2 + 0*m**2 + 1.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3000077299?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/16 and ((-5)\/((-80)\/6))\/(64\/96)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-10)*x*x)\/x*x*x**(-27))**8 assuming x is positive.\nAnswer: x**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z + 5. Sort 0.5, z, -0.2 in descending order.\nAnswer: 0.5, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.196 in -5, -2\/21, -2\/3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 2. Let w be u(0). Let t(z) = z**2 + 7*z. Suppose n + 4 = -3. Let b be t(n). Is b at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**3 - 56*t**2 + 90*t - 88. Determine v(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5192 divided by 2?\nAnswer: 2596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + 4*i**2 - 2*i**2 + (33*i**2 - 46*i**2 - 35*i**2)*(-1 + 2 - 3).\nAnswer: 97*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 18*f - 20*f + 20 = 5*f + 174, 0 = 2*p - 5*f - 32 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -211*a**3 + a**2 + 6. Let i(c) = -422*c**3 + 2*c**2 + 13. Let r(t) = -6*i(t) + 13*v(t). What are the prime factors of r(-1)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7151*n - 22338 = 16343 + 18527 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.5 and 0.624?\nAnswer: 2.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 346823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - 11*o + 35. Let k(b) = b**2 - 5*b + 18. Let j(x) = -6*d(x) + 11*k(x). Let t be j(7). Is (-282)\/(-5) + t\/(-40) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8305141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32\/10*(-562585)\/(-148)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -50, -117, -210, -329, -474, -645?\n\"Answer: -13*s**2 - 2*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 + 4*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.131 + -53.131. Let t = l + 99. Let k = t + -45.9999981. What is k rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-13 - -11 - (5 + -11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*j - 222*j = -925925. Is 25 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -521737 (base 9) to base 13\nAnswer: -aac6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, o: 1, s: 2, r: 1, y: 1}. Give prob of picking 1 y and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 10. Let h(z) = -10*z**2 + 8*z - 50. Let k(v) = -5*a(v) - h(v). Let c(p) = -21*p**2 + 7*p - 1. Determine -2*c(f) - 5*k(f).\nAnswer: -8*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s - 2 = -w - 22*s, s - 5 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + l = 24, 15*f + 5*l - 16 = 16*f. Let y be ((-12)\/f)\/3 - (4 + -8). Suppose -2*n + 5*n = 6. Solve y = 2*i - 3*a, i + n*a + 1 = a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -128 - -73. Let x = 291 + n. What are the prime factors of x\/3 + (-30)\/45?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 93*y - 2. Determine b(-1).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(300) - sqrt(300) - sqrt(3))*-4 - ((-5 + sqrt(300) + sqrt(300)*-1 + sqrt(300))**2 + 5 + -2*sqrt(300)).\nAnswer: -330 + 264*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 33, -0.5, -0.203?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtv when three letters picked without replacement from {b: 2, t: 1, q: 2, v: 2, s: 1, z: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 18, 73, 168, 315, 526?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1421.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 275*m - 98*m - 106*m - 71*m.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 6*v - 5. Let p be (-2)\/(1 + 2\/(-6)). Let r(d) = d**3 + 4*d**2 + d. Let c be r(p). What is o(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 568026740 and 1490?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**3 - 31*d**2 - 6*d - 6. Let i(c) = 0*c + 1 - 4*c - 5*c + 10*c. Let h(a) = -6*i(a) - m(a). What is the third derivative of h(t) wrt t?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(3\/5)*t)**47\/(t**(3\/8)\/t*t**(-3)))**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101 - -10100001110011011011?\nAnswer: 10100001110100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, -1\/8, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 121879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 1 - 3*b - b)*(3*b + 2 - 2).\nAnswer: -18*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.21514796.\nAnswer: -0.043029592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360450 and 1650.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35624763 + 35624763 + 11*b.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 103, 2\/13, 2\/7, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*g + 3*j - 3, 2*g = -j + 7. Suppose -78 - 4 = -2*a + 3*f, -g*a + 3*f + 170 = 0. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22506*p - 11251*p + 4*c = 11252*p + 57, -2*p - c + 38 = 0 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpkkkppk. What is prob of sequence kk?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, f: 1, r: 2, k: 2, e: 1, w: 1}. Give prob of sequence ez.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 0.5, 7, 0.21?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*h - 7*h = -10, 4*d - 18 = h. Let b be (-8)\/28 + 30\/7. Solve 2*q = -d*m + 4*q - 4, -b*m + 3*q = 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (-2 + sqrt(343))**2 + -1 + sqrt(343) + -3*sqrt(343)*-4 + 3).\nAnswer: -1050 - 189*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(1\/2)*t\/(t\/(t**41*t)) assuming t is positive.\nAnswer: t**(87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83\/5 + 189\/10. What is the common denominator of 89\/8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -971 and 0.5.\nAnswer: -970.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxwwxwww. Give prob of picking 4 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + s**2 - 1. Let m(z) = 17*z**3 + z**2 - 3*z - 2. Let u(b) = -k(b) + m(b). Find the second derivative of u(g) wrt g.\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 39. Let h(a) = -4*a - 116. What is -3*h(i) - 10*v(i)?\nAnswer: 2*i - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 0 - 6*w - 3*w**2 - 9. Let d be g(-7). What is the units digit of (-12)\/d*(1 - -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23 and -199.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11120724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 2 - 2 - 2*p + 0*p + 0*p + 5*p - 2*p - 2*p + (p + 2*p + 0*p)*(1 - 1 + 2) in the form b + t*p and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 + 57.2. Let l = -0.2000007 + p. Round l to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 10. Let v = c + 1. Suppose v*m - 25 = -0*m. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 299695 or 299696?\nAnswer: 299696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**7\/315 + 4*q**6\/45 - 2*q**5\/3 - 16*q**4\/9 + 256*q**3\/9 + 4*q**2 - 3*q. What is x in f(x) = 0?\nAnswer: -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 16978?\nAnswer: 169780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v - 5*v + 4*v)*(3 + 1 - 3)*(1 - 1 + v**2).\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) 251 (b) 21 (c) 2 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 2. Let q be u(6). Solve 4*o**4 + 3*o - 4*o**4 + 2*o**q - 6*o**3 - 12*o**2 + 3*o**5 + 6 + 4*o**4 = 0 for o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3787 - -3788. Let r = 3.743 + -3.7. Is r at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -13 + (10440\/6 - -5). Are 1732 and u nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 488639 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -8919.65 to the nearest ten.\nAnswer: -8920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96176 and 108?\nAnswer: 2596752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -358.5 + 359. Which is the closest to -1? (a) w (b) 4 (c) 0.6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4003104653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((100\/300)\/((-2)\/(-66)))\/((-9)\/3).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-2) + (-171)\/(-18). Solve -3*a - m - 7 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4991*q - 46053 = -4634*q for q.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from bvvy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 1. Let i(s) = 32*s - 19. Let q(o) = 23*o - 19. Let v(x) = -3*i(x) + 4*q(x). Give 2*b(g) + v(g).\nAnswer: -2*g - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/30248 and 75\/5868112.\nAnswer: 5868112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 25*w**4\/4 - 355*w**3\/2 + 955*w**2\/4 - 135*w\/2 = 0.\nAnswer: 0, 2\/5, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(1 + 2*sqrt(468)) + 4).\nAnswer: -1 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2411*o + 2421*o - 3880 = 0. What is the remainder when o is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28.8 + 2.4. What is w rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/5)*f**(3\/4)*f assuming f is positive.\nAnswer: f**(23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -3. Let l = -4.3 - h. Which is the nearest to 1\/4? (a) 0.1 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 10*d + 24 = 0. Let i be (d - -7)\/((-1)\/(-3)). Solve 3*c = -0*c - i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56041259.\nAnswer: 56041259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15860617 and -183.\nAnswer: 15860434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.228 less than 20900186?\nAnswer: 20900185.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7742 (base 8) to base 16.\nAnswer: -fe2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131 - 12*s**2 + 2*s**2 - 151 with respect to s.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*r - 13*r - 25305. Let a = r - -1035. Does 34 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 0.4, 0.9, 36\/13, 1 in ascending order.\nAnswer: -0.05, 0.4, 0.9, 1, 36\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(273\/42)*-24?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -36 (c) -1\/3 (d) 2\/21 (e) -7 (f) 2\/7 (g) -11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 5:44 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w**(-1))**(-2\/9) assuming w is positive.\nAnswer: w**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039 is divided by 39?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d**2 + 6*d**3 - 9*d**2 - 6*d**5 + d**5 + d**5 + 0*d**4 + 0*d**4 + (0*d**3 + 0*d**3 - d**3)*(5 - d**2 - 5).\nAnswer: -3*d**5 + 6*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 2*i - 1. Let c be w(1). Sort 1, c, -73, -5 in decreasing order.\nAnswer: 1, c, -5, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13576 + 0.4\nAnswer: -13575.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -1021?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 0*r**2 - 20\/21*r**7 - 17\/6*r**4 + 0*r**3 + 0*r**5 + 45*r + 0 + 0*r**6. Find the third derivative of w(z) wrt z.\nAnswer: -2400*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 10*x + 4*m - 2 = 0, -5*x = 5*m - 5. Suppose -j + 1527 = 3*t + j, -x*j = 0. List the prime factors of t.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.73 - -0.73. Sort 0.2, 1\/9, n, -3 in ascending order.\nAnswer: n, -3, 1\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 5*d + 16. What is z(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30\/4*-1)\/((-363)\/(-55)). Which is smaller: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63123288?\nAnswer: 2, 3, 61, 43117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*n - 4*f + 1496 = -155*n, 2*n - 2*f = 2942. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00124351994 to 6 decimal places.\nAnswer: 0.001244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*a + 13*a + 13. Let r(m) = m**2 - 11*m + 17. Calculate the remainder when r(a) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98697 = 3*d - 5*b, 87*b - 88*b = 5*d - 164551. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-80))\/(2\/6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 47332, 46065, 43954, 40999?\n\"Answer: -422*a**2 - a + 47755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1. Let p = -8.68 - -8.88. Which is the third biggest value? (a) p (b) n (c) 4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eze when three letters picked without replacement from zzzee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 260905440 to the nearest one hundred thousand.\nAnswer: 260900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224595\/375 + (-14)\/(-175)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 23*y**2 - 103*y + 29. Determine p(-17).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -g - 32. Suppose -12 = -4*v + 8. What is the remainder when g is divided by v\/(2 - 3\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(84) - (sqrt(84) - sqrt(84)*-1)*-6)*-4)\/(((sqrt(768)*-1 - sqrt(768)) + sqrt(768) - sqrt(768))\/(sqrt(64)\/sqrt(4))).\nAnswer: 78*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -195 - -190. Let g(i) = 3*i**2 + 9*i + 8. What is the remainder when 147 is divided by g(u)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65*-2*(-18)\/(-180)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -89 - 45?\nAnswer: -d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooonoonooonoono. Give prob of sequence oono.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 588\/686*(6 + (-16)\/12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4138 + 4179. Calculate the remainder when 983 is divided by n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 111540 and 30?\nAnswer: 111540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -164024, -0.5, -1.6, 6.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4175273 - 1108000.\nAnswer: -5283273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 828798997 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8053603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1746776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 46*c**2 + 997*c + 41609. Determine d(-49).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7e701 (base 16) to base 15\nAnswer: -a36ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.22281 minutes in days?\nAnswer: 0.0459880625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 99*n = -249 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 87. Let z = -48 + 52. Solve 0 = 4*j + 2*i - 6*i - 32, 5*i = z*j - r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3 = -3*j, -5*n + 17*j + 30 = 20*j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 39*v - 8. Let k(h) = 116*h - 26. Calculate 3*k(x) - 10*z(x).\nAnswer: -42*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/62205 and 199\/7674810.\nAnswer: 222569490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(190)\/sqrt(90))**2*-2.\nAnswer: -152\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -85. Suppose -q + 5*q + b = 0. Let y = q + 17. Solve 3*g = y*k + 4*g + 9, 4*k = -3*g - 19 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/22 and 27\/598706.\nAnswer: 6585766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4, 4*s = 2*s - 3*i + 7. Suppose 0*p + s*p - 3*v = 6, -4*v = -2*p + 2. Let f = 204 - 204.3. Which is smaller: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, v: 3}. Give prob of picking 3 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 16*n - 64. Let z(x) = 5020*x. Calculate z(s(q)).\nAnswer: -5020*q**2 + 80320*q - 321280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4659 = -476*c + 6289 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-10))\/((-296)\/740)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591653 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*n - 80 = -13, -4*n + 201 = 3*x. Suppose 0 = x*w - 64*w. Solve -s = c + 6, -3 = -4*c - w*c + 5*s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4274 = -5*d - 4309 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -50950 - -3?\nAnswer: -50947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*b - 14 = 0, 0 = -5*c + 2*b - 4*b + 27. What is the third derivative of 2*x**3 + 0*x**2 + 2 - 47*x**2 - 3 + 101*x**c + 0*x**3 wrt x?\nAnswer: 6060*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28021 is divided by 545?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (300\/(-5))\/(-20)*22\/(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 + (-99)\/24)\/(520\/(-96) + 6)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 381 - 341. Calculate the remainder when 79 is divided by u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 662491 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 9*v**2 - 6*v + 20. Suppose 312 + 220 = 7*t. Let b = -68 + t. Is 10 a factor of f(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1039*l**3 + 992*l**3 - 1 + 1.\nAnswer: -47*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j - 7. Let w be m(-6). Suppose -2*q = w - 5. Let n = 5 - 7. Which is smaller: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -19*n + 22*n - 39, -2*d - 9 = -3*n. Sort -2, -3, 5, -9, n in decreasing order.\nAnswer: n, 5, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from {y: 5, d: 1, c: 4, a: 4, e: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/((-3)\/78). Let f = t - 9. Suppose f*m = -106 + 782. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*o**3*q + 12162*o**3 - 4*o**2*q + 37*o*q - 21567*q - 1 wrt o.\nAnswer: 126*o*q + 72972*o - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 16*g**2 - 17*g + 6. Let r be (-4 + (-24)\/(-5))*-115. Let s = -109 - r. Let u be d(s). Solve 4*v - 4*m + 24 = -u*m, -m + 3 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7295600 a multiple of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from vvmvvhm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 1. Let z = -10 - -6. Let l = z - y. Sort -2\/5, l, 2\/3 in decreasing order.\nAnswer: l, 2\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 82091.83 nanograms?\nAnswer: 0.08209183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5754132 divided by -106558\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**4\/8 - 5*p**3\/3 + 18*p**2 + 10*p. Give c(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.74 and 41560?\nAnswer: -113874.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 + -19. Let f = a - 13. Suppose -d + f = 2*q - 6, -5*q = 0. Calculate the greatest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*f + 186 + 359, -3*l + f = -1655. Let y = -74 + l. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18360 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 585 by 252.\nAnswer: 65\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppkhfwof. What is prob of sequence opk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273359958.\nAnswer: 2, 3, 197, 231269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42307924 divided by 21153962.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -382? (a) -1\/8 (b) -1299 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, 5, 239, 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 2:07 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15, -11, 1, 21, 49, 85, 129?\n\"Answer: 4*r**2 - 8*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 93 = 3*r. Let l = 192 + -108. Let j = r + l. What is the smallest common multiple of 4 and j?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5035250.3 and 6019?\nAnswer: 5029231.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1780 + 3264. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150480 and 73260.\nAnswer: 5567760","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 + 0.24. Let l = 0.1 + 0. Put l, q, -0.2 in decreasing order.\nAnswer: l, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47617\/16 - -2979. Let p be 3 - ((-8229)\/(-9150) + -2). Let n = p + -1\/1525. Calculate the common denominator of f and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13385442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 666 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6724 divided by 2\nAnswer: 3362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*y**3 + 70*y**3 - 10074*y + 10019*y wrt y?\nAnswer: 444*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from {p: 1, k: 6, e: 2, j: 2, m: 3, n: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20868076*j**3 - 230908*j.\nAnswer: 125208456*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 13. What is the remainder when f is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -415 - 55?\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*b - 202*b + 3366 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3778569+-464.1\nAnswer: 3778104.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -7338079?\nAnswer: 31\/7338079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + 13 + -5 - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.33 * 8107\nAnswer: 10782.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.2 (b) 20 (c) 116\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3 = o, 5*i + 20 = 2*o + o. Suppose 9 = -4*m + o. What is the units digit of (-6)\/24*20\/m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -4*j + 5*u - 16, -5*j + 5*u = 0. Let d = 4 - j. Let m(n) = n**d + n - n + n**2. Let g(o) = o**2. What is m(g(s))?\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + (-87 - -40) - (-2 + (5 - 1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -120 in -1, 4, 33?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835) + sqrt(2835) + sqrt(2835)*-1 - sqrt(2835) - sqrt(2835))\/(1*sqrt(80)).\nAnswer: -9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 517.2275 meters in micrometers?\nAnswer: 517227500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/140 and 41\/28775628.\nAnswer: 143878140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 165*k**2 + 292*k - 39. What is the tens digit of u(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + (sqrt(405) - (sqrt(405) + 1*sqrt(405)) - (2 + sqrt(80))).\nAnswer: -13*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 54 - 32)*(3 - 3 + 3*z)*(-z**2 + z**2 - 5*z**2).\nAnswer: 1545*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 101370217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-13)*a**7)**36 assuming a is positive.\nAnswer: a**792","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 c when four letters picked without replacement from cxcccxxxcc?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9020a (base 11) in base 7?\nAnswer: -1056621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 647, 629, 611, 593?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 106.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Divide 3 by 10526.\nAnswer: 3\/10526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5*-35*11\/(-55).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knknlblnhbpp. Give prob of picking 2 b.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 14*g - 2*g**2 + 6 - 5*g - g**3 + 0 - 3*g**2. Calculate m(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211 (base 3) in base 11?\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 891*c - 87050 = 881*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, 0.11, 14\/11, -0.31, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6 + j + 2*j + 2*j. Let h(c) = -9*c - 11. Let p(i) = i**2 - 16*i + 33. Let t be p(13). Calculate t*h(b) - 11*k(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2. Let y(q) = -q**2 - 4*q - 6. Let a be y(-4). Let l(i) = -17*i - 5. Let m(b) = -17*b - 6. Let g(v) = a*l(v) + 5*m(v). What is k(g(h))?\nAnswer: 289*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**4\/6 - 524*u**3 - 1775*u**2\/2 + 4643*u. Differentiate v(s) with respect to s.\nAnswer: -4*s - 3144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8 = 4*o, 4*g - 18 + 4 = 2*o. Let w be (24\/14 - 0)\/((-2)\/(-7)). Solve -5*n - 2*h = -w, -5*n = 4*h - 16 + g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 1. Give w(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376 + 461 = -242*d - 4003 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/25*15\/2)\/(258\/(-2924))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/5766 and -137\/372.\nAnswer: 11532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-695)\/(-3600) - ((-4)\/10)\/(-2). Let j = n + -91\/720. Sort 0, -0.2, j.\nAnswer: -0.2, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24510.3 and 5079661.\nAnswer: 5104171.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1054 is divided by 1034.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -226\/3 or -5?\nAnswer: -226\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 68055821 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 6*r - 2. Let z be b(5). Suppose -g + 8 = 4*u - 4*g, -5*u = z*g + 17. Which is bigger: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61349 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f = 0. Let x = -26.5 - -27. Which is the second biggest value? (a) 5 (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l + 6. Let q = l + 6. Let d = 20 - 16. Solve 4*s - 2*s - 2 = -d*i, -9 = -q*i + s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + (2*(sqrt(242) - -1*sqrt(242)))**2).\nAnswer: -23214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-112)\/8 + 27 - 6) + 25.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 3 + 12 + -27 + (-2 - (4 + -23))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**14\/a)\/a**(2\/15) assuming a is positive.\nAnswer: a**(193\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -d - 13, -40541 = -3*d + 2*w - 40567 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5 + 59838*t**4 + 36074218*t**3 + 5347024962*t**2 - 10802511920*t + 5419352904 = 0 for t.\nAnswer: -298, 1, 30513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeeeeeeeg. What is prob of sequence geee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -640912124, -640912125, -640912126, -640912127, -640912128, -640912129?\nAnswer: -640912130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 y when three letters picked without replacement from {u: 9, z: 5, y: 2, x: 1, e: 1}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l + 9*l - 7*l + 19*l as x*l + w and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25672503?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 0 - (17 - 21) - -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -12*h + 52 - 7*h - 116 - 6 + 4*h. Let j be x(-5). Solve -n + 2*q - 5 = 5*q, n - 3 = j*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -60, -120, -180, -240?\n\"Answer: -60*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 25 = -324*a + 335*a, 3*a + 4 = 2*o - 0*o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128467479163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -588*c**3 + c**2 - 62.\nAnswer: -3528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, v: 2, c: 3, m: 1, t: 1}. Give prob of picking 1 v and 3 l.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -21 - 92 - -82.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010 (base 2) to base 11.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1251 is divided by 733?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6\/24)\/((-17)\/408)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/24)\/(416\/256)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1557 - -1581. Solve 68*q = 74*q + z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 23\/387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k + 4. Let s = -43 + 47. Let w(i) be the third derivative of 3*i**2 + 0 - 1\/24*i**s + 1\/6*i**3 + 0*i. Give 2*w(l) - y(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1827856720.\nAnswer: 2, 5, 31, 737039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 + 24 - 41)*(-7*i + 5*i - 2*i)*(2*i**2 + i**2 - 4*i**2).\nAnswer: 220*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0 + 0*i + 2\/15*i**5 + 0*i**3 + 0*i**4 - 39*i**2 + 1\/5*i**6. Find the third derivative of l(d) wrt d.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -341 - -1. Round f to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -18*s - 208. What is n(0)?\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**5\/20 - 63*o**4\/16 + 341*o**3\/4 - 961*o**2\/8 - 261. Find f such that l(f) = 0.\nAnswer: 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272774093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2. Let i be ((-12)\/9)\/((-3)\/63). Suppose i = 5*o + 3*t, -o - o = 2*t - 12. Solve o*n + c*n = 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-15\/7)*p*p**(2\/99)*p**(2\/43)*p\/(p\/(p*p*p**(1\/20))))**(-3\/2) assuming p is positive.\nAnswer: p**(-1176379\/397320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7\/(-49)*-21 - (-1 - 236)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197.9228234 rounded to 0 dps?\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i*l**2*w**3 + i*l**2*w + 5*i*l*w**3 + 2*i*w**3 + l**2*w + 35*l*w**2 wrt w?\nAnswer: 42*i*l**2 + 30*i*l + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + h + 1. Let m(u) = -u**2. Let k(l) = -3*l**2 + 5*l + 5. Let w(v) = -k(v) - 3*m(v). Let f(n) = -5*j(n) - w(n). Let c(a) = a**2. Give f(c(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*g + 3*g - 4*n, 12 = 4*n. Solve 6*x = g + 27 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1847339 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -391025 at least -391142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (-25 - -19 - 37)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -176.9647 and 0.7.\nAnswer: -176.2647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 b, and 1 t when three letters picked without replacement from {l: 3, r: 1, k: 4, j: 2, b: 6, t: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o = 37*o + 192 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 104?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 23677.2 to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1\/7 (c) 4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2605, 8, -5, -1 in descending order.\nAnswer: 8, 0, -1, -5, -2605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 167*n + 91 - 1763 - 332 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/128953 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192093756 and 4656.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5\/9 + 4*d**4\/3 + 8*d**3\/3 + 16*d**2\/9.\nAnswer: 2*d**2*(d + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 51 + 27 - u + (2*u - 6*u + 2*u)*(5 - 4 - 2) as q*u + t and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o + 13*s = -29*o + 31, 5*o + 2*s = 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -760.\nAnswer: -760, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/((-369)\/(-360) + 1\/(-1)). Let d be (-3 + (-12)\/(-2) - 5) + b. Calculate the greatest common divisor of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 4)*(0*c + 2*c + 2*c)*(3 - 3 + 2*c)*(54*c - 35*c + 42*c) as j*c**2 + l*c + i*c**3 + b and give i.\nAnswer: 976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 1:39 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -241 + 245. Suppose -5*h - 4*r + 32 = 0, 12*h - 10*h + g*r - 20 = 0. Let p be 2\/((-3)\/(-2) + -1). Solve -5*u - 8 = -h*q, -2*u + 2 = q - p*u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 2 (c) -2\/3 (d) -6133\/8 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.765999 meters?\nAnswer: 0.005765999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/(-210)*3*112\/56?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 2*k**2 + 9. Let g be t(4). Let p = g - 124\/3. Which is the nearest to 0.1? (a) -1 (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 + 80. Let q(h) = 14*h**3 - 23*h**2 - 3*h - 15. Let r(o) = -5*o**3 + 8*o**2 + o + 5. Let s(x) = 4*q(x) + 11*r(x). Give s(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1833588 and 200064824?\nAnswer: 1800583416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01314 + -1.01314. Which is the second smallest value? (a) m (b) 5 (c) -2 (d) -0.273\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 18, 24, 0.2 in decreasing order.\nAnswer: 24, 18, 5, 3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 + (-845)\/(-78))*0. Suppose 5*g - 4*i + 10 = 0, 0*g - 5*i = 2*g - 29. Solve l = -5*z + 3*m + 2*m, -g = -m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y + 4*y + 0*y + (-6 + 0 + 3)*(-4*y + 3*y - 4*y).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23539.\nAnswer: 23539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*l - 3*h, 3 = 2*l - 2*h - 5. Solve k = 4*s + 2, 4*s + 3*k = 1 + l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1)\/(2 + (-57)\/27) and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + t. Let l = -3 - -1. Let w be h(l). Let z = 1 + -0.9. Which is the second biggest value? (a) z (b) -0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3 - 3 + 2*v. Let d(f) = -9888*f + 2*f**2 + 9888*f. Calculate q(d(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7947271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12032022 + 2231332?\nAnswer: -3200030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z = 15 + 45 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/64797 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 56, -4, 5.\nAnswer: -7, -4, 0, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/18 - ((-10)\/6 - 400\/(-60)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28002608666 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 greater than or equal to 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 156)*(1 + 0). Let f = -107 - o. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-37)\/((-2220)\/(-150)))\/((-5)\/(-4)))\/(-33)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/21 - 10\/7. Sort 51, v, -2.\nAnswer: -2, v, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*w + 90*w + 157*w = -167*w - 5187 for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7308115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 601\/9. What is the second biggest value in u, 2, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 4107*f - 4112*f + 24 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 + 4*r + 13. Let k(p) = -4*p**3 - p**2 - 5*p - 15. Let l(j) = 5*i(j) + 4*k(j). List the prime factors of l(-9).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -150 - -348. Let w = 198.1 - j. Which is the second biggest value? (a) w (b) -1\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 - 5*w**4 - 2*w**4 + 6 - 19163*w**2 + 2*w + 19161*w**2 in the form s*w + a + n*w**2 + j*w**3 + m*w**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llcc when four letters picked without replacement from glcgggggcgclcggc.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 3, c: 5}. Give prob of sequence acg.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 336205680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 5*l - 23, 5*n = 5*l - 7 - 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2280845.\nAnswer: 5, 7, 65167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 11*f**5\/5 + f**4\/12 - f**3\/2 - f**2\/2 - 2*f. Suppose -4*j - 638 = -650. Is a(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -2\/297, 1, -2.2, -1\/2 in descending order.\nAnswer: 24, 1, -2\/297, -1\/2, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3004*b - 3034*b = -725550. Calculate the highest common factor of 35 and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -106422, -106421, -106420, -106419, -106418?\n\"Answer: a - 106423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110643184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7065 = -3*q + 3*t - 915, -2070 = -q + 5*t. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 5:48 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4) + (990\/15)\/33.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -49 (b) -1 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 44*t**2 - t + 8. Let a(q) = 89*q**2 - q + 16. Calculate -3*a(c) + 5*k(c).\nAnswer: -47*c**2 - 2*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 17*g + 29. Let n be t(5). Let p = n - 10. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/3379 + -442661\/40548. Calculate the common denominator of 101\/102 and q.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, l: 1, u: 2, r: 1, b: 1, f: 1}. Give prob of picking 1 r, 1 u, and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - w**3 - 38 + 10*w**3 - 11*w**3 + 15*w**2 + 5*w**3 - 18*w**2 to o*w**2 + h*w + u + m*w**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1543601.\nAnswer: 607, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 23*c - 4. Let t(s) = 3*s. What is v(t(n))?\nAnswer: 69*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 23*g - 77*g + 26*g + 26*g.\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*2\/4*(11 - 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 9 + 27. Let d = -29 - l. Let n = d - -43. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -16. Let g = -2 - -5. Let a be (-5)\/(-9)*g - 3. What is the nearest to 1 in -1, o, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51163200 rounded to the nearest 100000?\nAnswer: -51200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.7, 112, 4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((26\/14)\/(9\/63))\/((1419\/(-43))\/(-33))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6337820839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1447 * -5.\nAnswer: 7235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -13*n + 16*n - 63, 0 = 5*n - 45. Let c be (-2)\/(-3) + (-8)\/(-6). Let r(y) = -d*y + 16*y - 3*y + c. Let j(f) = -f**2. Give r(j(b)).\nAnswer: -4*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/17 + -3 + (-276)\/1564.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284700 rounded to the nearest 10000?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 + 72 = 207*u - 91*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/5 of a minute?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**3 + 5*a**2 + 174. Let g(b) = -2*b**3 + 3*b**2 + 87. Let f(q) = -5*g(q) + 3*p(q). Let o = 23 - 23. What is the units digit of f(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*r + 5*c, -2*r + 2*c + 3 = 7. Let a be 3 + r\/2*0. Suppose 4*u - f - 271 = 0, -5*f + 188 = a*u - 44. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -41 + 88 + v - 55. Let z(s) = -4*s + 36. Let q(l) = 9*d(l) + 2*z(l). Let w(c) = 72*c - 12. Let p(j) = -1. Let i(a) = 12*p(a) - w(a). What is i(q(y))?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i + 0*i + 10 + 10*i. Let u(l) be the second derivative of l**3\/2 + l**2 - 737*l. Calculate 2*t(d) - 11*u(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -v + i, 0 = -2*v - 2*i + 4. Let z be ((-6)\/v)\/(6\/(-8)). Solve a = z*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 193\/60 or -2\/3?\nAnswer: 193\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4937 + 2628. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/30 and -47\/3063.\nAnswer: 30630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 6)*(-1)\/(-1). Let i be (30\/25)\/(4\/360) + -4. Let c = -97 + i. Calculate the greatest common factor of c and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 12) to base 8\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/1 - 5\/(30\/18). Let y(b) = -2*b + 4. Let w(m) = -3*m + 9. Determine c*w(r) - 5*y(r).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(-4) + (-2)\/8. Suppose 11*h - 56 = -1. Let f(l) = -l**2 - 24*l + 115. Let b be f(4). Solve 4*t = -h*x + 17, -i*t - 2*t + 5 = b*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwzwwdzzwzzwzz. Give prob of picking 1 d and 2 w.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Let c(s) = -719194613*s**2. Give y(c(g)).\nAnswer: -1438389226*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32932907 divided by -293.\nAnswer: 112399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52 + 97 + 729 + 21 + 1051)*(-2*j**2 - j**2 + 0*j**2) to p*j**2 + z*j + f and give p.\nAnswer: -5538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 6:12 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*x**3*y**3 + 2*x**3*y - x**3 + 134*x**2*y**2 + 88*y**6 wrt y?\nAnswer: 12*x**3 + 10560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3503 divided by -6\nAnswer: -3503\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -0.1 (c) -0.7 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u**2 + 756*u + 2133 = 0. Calculate u.\nAnswer: -237\/5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/9 - 299\/9. Let h be 3\/(-2)*44\/p. Suppose 4*n - h = 10. What is the highest common divisor of 21 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -15*t**4 - 7*t**3 - 31*t - 7. Let r(l) = -8*l**4 - 4*l**3 - 16*l - 4. Let k(v) = 4*b(v) - 7*r(v). What is the second derivative of k(g) wrt g?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 + 2*g - 5. Let s(n) = -4*n**2 - 2*n + 6. Suppose 24*b + 35 = 17*b. Give b*s(r) - 6*t(r).\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1051 - 376. Suppose -199 = 4*j - k. List the prime factors of j.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 19 = 5*d. Let i be 232\/3*-3*(-3)\/(-6). Let f = 168 + i. What is the remainder when f is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.46*-1.095\nAnswer: -1.5987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -513789.365 + 0?\nAnswer: -513789.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8*m - 9369 = 0. Let k = 3 + -6. Let q be k\/12 - m\/12. What is q rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37464 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31516 and 200.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/((-125)\/(-500))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(210\/18 - (-4)\/(-1)). Sort h, 5, -3 in ascending order.\nAnswer: -3, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2\/2 + 1071501*w - 382704797667\/2 = 0. What is w?\nAnswer: 357167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2747, 2749, 2753, 2759, 2767, 2777?\nAnswer: 2789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1034 + 2*o**2 + 117*o - 117*o - 4*o**2 + 1034.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-103)\/(-412) + (-329)\/4. Put 0, 2, -2, d in increasing order.\nAnswer: d, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -2\/29 (c) -0.3 (d) 289\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-10) - 10\/2) + 525\/(-21)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1809*x**2 + 9776*x**3 + 0 - 3 + 799*x**2 - 1155*x**2 + 2 wrt x?\nAnswer: 58656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.299 (b) 0.9 (c) -12 (d) 5 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -3*a**5\/10 + 111*a**4\/4 + 77*a**3\/2 - 225*a**2\/2 - 826. Solve p(w) = 0.\nAnswer: -2, 0, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141873614 not equal to -141873614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1561.354 - -1560. Let r = -1.4 - u. What is r rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 15*n - 5\/3*n**3 - 74 + 5*n**2. Let m(v) = 0. Calculate v.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 4. Let m be l(-4). Suppose -u + m*a + a = -5, -u + 17 = -5*a. What is the third derivative of u*g**4 + 5 - 2*g**2 - 5 wrt g?\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175839 divided by -3?\nAnswer: 58613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 - -91. Solve -a*u = 5*t + 19, 2*u - 5*u + 2*t = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-3\/8)*w)\/(w**(-12)\/w))\/(w*w\/w**(-12)*w\/(w*w**5)) assuming w is positive.\nAnswer: w**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2357?\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245789.\nAnswer: 245789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*j**2 - 4 - 1560*j + 0 + 1560*j to m + v*j + i*j**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*c - 217 + 157 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -49\/124?\nAnswer: -49\/124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 4*h**2 + h + 1. Calculate the remainder when 33 is divided by n(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, g: 4, c: 1, z: 3, j: 1}. What is prob of sequence tc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1437800 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -491, -1551, -3169, -5345, -8079, -11371, -15221?\n\"Answer: -279*z**2 - 223*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 + 6*r. Let x(n) = -9*n**2 - 11*n. Let p(f) = 11*l(f) + 6*x(f). Let z(u) = -3*u**2 - 2*u + 3. Let b(a) = -2*p(a) - z(a). Calculate b(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -10376589.94.\nAnswer: -10376587.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 12:25 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*w + 0*w + 75*w**2 + w + 3*w wrt w.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 2 = -2*y - 2 + 14, 2*y + 2*y = 841*u + 2575 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-6*r + r - 2*r).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 8*o + 13. What is l(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36129, -72946, -109581, -145944, -181945, -217494, -252501?\nAnswer: -286876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 1 + h**3 - 25428*h + 12716*h + 12712*h to l*h**3 + z*h**2 + n*h + i and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13587 or 13639?\nAnswer: 13587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - 12*d + 10. Let c(j) = 13*j**2 - 47*j + 39. Let f(o) = 2*c(o) - 9*r(o). Let x be f(13). Is 1 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3) + (3 - (-403)\/(-39)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*(3 + sqrt(72)*1 + 2 - ((sqrt(72) - (sqrt(72) - (1 + sqrt(72))*-3)) + 4*-2*sqrt(72))))**2.\nAnswer: -62592 - 6912*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 765818463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460952 is divided by 10450.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22\/110*(-3 - -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -5*p**7\/7 - p**4\/12 + 32*p. Find the third derivative of z(f) wrt f.\nAnswer: -1800*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.21 + -3.21. What is the smallest value in -0.1, 5\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 8 - (-5 + 2) - -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 242*b + 16680. Determine y(-68).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -580*-0.2\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1895 = -8*g + 1865. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g - 6. Let t be i(2). Solve -5*k + 6 = t*j + 19, -5*j = -15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -47\/5 (b) 3306.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2 - 3 - 50*d - 1 + 52*d + 1. Let y(h) be the first derivative of -h**2\/2 + 4*h - 2. What is 3*q(i) + 4*y(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - h - 1. Let b(f) = -49*f**2 - 71*f - 19. Suppose -11 = 2*l - 9. Let s(v) = l*b(v) + 3*x(v). Factor s(z).\nAnswer: 4*(z + 1)*(13*z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2989212*o**3 - o**2 + 442486*o?\nAnswer: 17935272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25742210?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6201 and 6?\nAnswer: 12402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 6370095\nAnswer: -31850475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/22 (b) 5 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*i - 10 = 0, -2*k - 3*k + 2*i + 23 = 0. Let o(c) = c + 3. Let w be o(k). What is the greatest common divisor of w and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73920 and 6?\nAnswer: 73920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6580128 divided by 2\nAnswer: 3290064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.624092 tonnes?\nAnswer: 1624.092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 29*o**2 + 6*o - 85. Let i(q) = 53*q**2 + 11*q - 171. Calculate 11*b(u) - 6*i(u).\nAnswer: u**2 + 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 6:36 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*p - 15, -p = 3*j - 3*p - 18. Solve -5*o = -o - j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277768 is divided by 69043.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2. Let n(r) = -174*r - 59. Calculate c(n(w)).\nAnswer: 30276*w**2 + 20532*w + 3481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + m. Let l(u) = 14*u**2 - 3*u + 2. Let d(i) = l(i) + 6*v(i). Suppose 2*b + 2 = -2. Does 11 divide d(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2686, -27\/16 in increasing order.\nAnswer: -27\/16, 0.1, 2686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from sshhh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 q when three letters picked without replacement from {r: 2, q: 1, i: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*k + 8*k + 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 427 and 671.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5604289 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f. Let w(n) = 2747 - 2747 - 15*n. Determine w(y(j)).\nAnswer: 120*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2609?\nAnswer: 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 0*m + 0*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 11:33 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/7 + 15363*x - 2044362\/7.\nAnswer: 3*(x - 19)*(x + 35866)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((2\/2)\/(-2*(-9)\/(-6))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*12\/(-144)*(-16)\/(-140). Sort -1, -0.7, w, 19 in increasing order.\nAnswer: -1, -0.7, w, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1667 is divided by 151?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1877 rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 9*a**2 + 16*a + 17. Let j be m(-7). Suppose r - 996 = -j*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 + 30 - (-5 + 35)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouozoouoouozzozzz. What is prob of picking 1 o and 1 u?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 3*y + 4*w, -y + 3*y + 2*w - 86 = 0. Let m = y - 29. What is the lowest common multiple of 10 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x - 20. Let j = 48 + -28. Let y = 3 - j. Let i be c(y). Solve -5 + i = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 6:45 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**5\/60 - z**4\/8 - 5*z**3\/6 - 2*z**2. Let k be v(5). Solve 0*t - k = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**3 + 158 - 5*s - 159 - 2*s to the form o*s**3 + g*s**2 + j*s + w and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*z + 139 = 2*p - 318*z, -5*z - 190 = -5*p. Solve -2*v - p = -47 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 5:52 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 420501359 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*c*r**2*s*u + 10*c*r**2*s + r**2*s + 2*r**2 - r*s*u - 11*s wrt c?\nAnswer: 11*r**2*s*u + 10*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.11531 and -90.7.\nAnswer: -90.81531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d - 5*a + 2821, d + 1428 = -a. Let f = 79521\/40 + -4469\/8. Let p = f + d. Calculate the common denominator of p and 1\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2))**(-1\/45))**(-4\/9))**(-4\/3) assuming y is positive.\nAnswer: y**(32\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 159183888 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*f - 10, -3*f + m - 7 = 2*m. Does 2 divide 1\/f*(-28 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1216449077?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 20. Let v(j) = j**3 + 2*j - 7. Does 27 divide v(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3974713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, y: 6, t: 8}. Give prob of picking 2 b and 1 y.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 7, b: 3, y: 1}. Give prob of picking 2 e and 1 y.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15 + -16 + (-153)\/(-648) and -43\/408.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 188*g - 189*g + 5. Suppose -g*h + 4576 = 8*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 6*h - 2*h - 8, 3*h - 4*c = 6. Suppose -h*z + 5 = -3. Solve 2 = z*w + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*f - 2*k + 18 = -67*f, -2*f + 21 = 5*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -468 - 1436. Is -5 + 6 - (u - (2 + -4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*w**3 + 53158246*w**2 - 8830624236548*w + 662296518726 = 0 for w.\nAnswer: 3\/40, 332239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35650 or 35652?\nAnswer: 35652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 76*f + 5. Let x(d) = -16 + 5 + d + 18*d + 9 + 3. What is -2*j(q) + 9*x(q)?\nAnswer: 19*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 6*u**2 - u + 4. Let l be x(0). Solve -8 = f - 3*f + l*r, 0 = 4*r + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-186)\/8)\/(-3) + (-4)\/(-16). Suppose -8*q = v + 8. Let w be (-20)\/9 + (-1 - -3). Sort 9\/7, q, w in decreasing order.\nAnswer: 9\/7, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 159935879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*33.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -165*w + 1982. Let q be k(12). Solve 35 = q*u + 5*n, -u + 2*n - 130 = -125 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 310 = 3*r, 0 = 38*t - 36*t + 5*r - 93. Suppose 70*b = t*b + 99. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/22176 and 119\/80.\nAnswer: 110880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 557047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence reer when four letters picked without replacement from {e: 11, r: 3}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -319, -697, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4 = -7*l + 2*w, -2*l = -5*w - 2. What is the tens digit of (-15*l)\/(30\/(-200))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/3 of a day in minutes?\nAnswer: 27840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*u + 1062 = -26*u. What is the remainder when 527 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -30) + -38 + 55 - (103 + 1 + -1)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/((-6)\/24*(-72)\/9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = -51*q + 183. Let n be (-6*(-6)\/(-9))\/(-2). Put n, q, -1, 0 in increasing order.\nAnswer: -1, 0, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w = 16. Let u be -1*3 + 192\/56. What is the third smallest value in w, -1\/6, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, 4, -162 in descending order.\nAnswer: 4, -5, -9, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 - 31 - -82 - (-1 - 38) - -6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 22*r + 49. Give o(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - i - 45. Let n(g) = 1. Let s(q) = -2*n(q) - v(q). Let z be s(0). Suppose -2*j + z = 2*j - 3*a, 2*j = 5*a + 39. Solve 2*l = -j - 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**2 + 0 + 4 + 34 - 38.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 1, 630, 0 in ascending order.\nAnswer: 0, 1, 45, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2206 = 4*d - 6526. Calculate the greatest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -0.1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/5 of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**5\/7 + 5*l**4 - 158*l**3\/7 + 244*l**2\/7 - 120*l\/7 = 0?\nAnswer: 0, 1, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/572*33*(1 - 62\/6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 141 - 3. Which is smaller: -42 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 49*x - 100. Let s be q(2). Solve -s*i = 2*f - 6, 0*f - f = 2*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 22*r. Let h(o) be the second derivative of -o**4\/4 - 71*o. Give h(c(l)).\nAnswer: -1452*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*z + 106069, -5*c = -5*z + 11*z - 159111. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 3*p + 385. What is the remainder when p\/(-4) + (-15)\/(-20) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2643127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 667*m - 36 - 667*m + 20*m**2 + 36.\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.014209834675 + -669422.985280165325. Let z = -669412 - o. Let y = -11 + z. Round y to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, x: 3, r: 5}. What is prob of picking 1 r and 3 x?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 - -125. Suppose -5*n + 2*y + 19 = k, 7*y - 5 = 2*n + 2*y. Solve n*t + d = t + 1, 3*t - 3*d = -3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/28)\/(2\/14). Let m(z) = 2*z + 3*z + z**3 + 0*z + a + 5*z**2. Suppose 0 = c - 5*k - 7, -5*c - 3*k - 13 = -4*k. Give m(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -16, 15, 62, 125, 204?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f*f*f*(f\/f**(-10\/13))\/f*f)\/f))\/f*f**(-10)*f)**(-3))**(12\/19) assuming f is positive.\nAnswer: f**(5976\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 176772936?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 12, d + 2*d - 85 = -z. List the prime factors of z.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1996\/5 + -399. Let a(u) be the first derivative of -3\/20*u**4 - m*u**3 + 4 + 3\/10*u**2 + 3\/25*u**5 + 0*u. Factor a(q).\nAnswer: 3*q*(q - 1)**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 202 divided by -1?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/9 and 67\/1381775?\nAnswer: 12435975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, and 2 s when four letters picked without replacement from {x: 3, s: 2, b: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - 110. Let n = 42 - f. Calculate the remainder when n is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 383 divided by -40\nAnswer: -383\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -208*h**3 + 292*h**2?\nAnswer: -1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 2. Let w be (4\/(-5))\/(4\/(-10)). Let d be c(w). Let r(v) = 21*v - 354. Let i be r(17). Solve i*b = 2*b + d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 0*a**4 + 11*a**2 - 1\/1080*a**6 + 0*a**3 - 1\/3024*a**8 + 0 - 1\/945*a**7 + 0*a**5 + 0*a. Factor y(n).\nAnswer: -n**3*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0094111796 to five dps.\nAnswer: -0.00941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 171*x - 848. Calculate s(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**3 + 164*u**2 - 1637*u + 41. Give m(17).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 12:39 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*w + 3228, -4*n = 4*w - 2 - 3250. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1448 times -25348?\nAnswer: 36703904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**5\/100 - u**4\/60 + u**3\/15 + 7*u + 1. Factor f(q).\nAnswer: -q*(q - 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q + 4*q - 3 + 0*q. Let d be c(-7). Suppose d*b - 5*b + 8 = 0. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 7:48 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3)*1 + sqrt(3) + sqrt(3) + ((sqrt(9)\/sqrt(3)*2)**2 - sqrt(3)).\nAnswer: 2*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2 (b) 2 (c) 5 (d) -0.4 (e) -293\/148\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - j. Let w = -42 - -39. Let t(r) = r**2 + 3*r. Give w*t(k) - 5*m(k).\nAnswer: 2*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44476260 and 955.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 12. Suppose -55 = -5*p + 15. Let j be a(p). Let z be (3\/j)\/((-6)\/(-8)). Let q(b) = b**3 + 3*b**2 + 2*b - 1. Calculate q(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -46. What is the derivative of -99*m**2 + 98*m**b + 21 + 0 - 2*m**3 wrt m?\nAnswer: -6*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41470 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/2*(-2)\/12. Let n = -359.58 + 359.28. Which is the biggest value? (a) -2\/9 (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 16*o + 4. Let m be g(15). Let v = 17 + m. Let f(x) = -x**3 + 8*x**2 - 14*x + 14. Let c be f(6). Solve c*k + v = 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, x: 9}. What is prob of sequence mx?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/101602 or 1?\nAnswer: -15\/101602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 29 - 9 = 0. Let b(u) = 7 + 0*u**2 + u + 1 + 0*u**q + 2*u**2. What is the units digit of b(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-9)\/(-90)) - -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 12 = -5*l. Let p(n) = -2 - l*n + n - 3. Let s be 0 + -2 + (-2 - 0). Calculate p(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 12) in base 8?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 43800715*p**3 + 43800716*p**3 + 3*p + 15 as f*p**3 + m + g*p**2 + x*p and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2003321 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2. Let d(i) be the third derivative of 143*i**5\/30 - 632*i**2. Determine s(d(p)).\nAnswer: -163592*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6568, 15899, 31452, 53227, 81224, 115443, 155884?\nAnswer: 202547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110\/3 - 37. Let u = 4.109 + -0.109. Put u, q, 3 in descending order.\nAnswer: u, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1343100 and 1125?\nAnswer: 20146500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-26))\/(-1)*9\/504*-14.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 7*w**2 - 7*w - 3. Let b(i) = 2*i**2 - 1 - 3 + 3*i**3 - 2*i**3 - 3*i + i**3. Let g be b(-2). Calculate p(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 10 - 8)*(2*o - 3*o + 2*o) to the form a*o + c and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 474270 at most 474271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmpcmmgmmwcmp. What is prob of picking 3 p?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3\/2 - 11*q**2\/2 - 2*q + 22 = 0.\nAnswer: -2, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.24 - -3.3. Let m = -0.06 + r. Let k = 1 - m. What is the closest to 0.2 in k, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2. Let s(p) be the second derivative of 13*p**3\/3 + 3*p**2\/2 + 3*p + 10. Give s(w(t)).\nAnswer: 52*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2\/3, 10.4 in ascending order.\nAnswer: -2\/3, -1\/4, 10.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/18)\/((-4)\/18). Suppose -18 = -4*i + 5*x, -t*x - 2*x - 10 = 0. Suppose -3*n + i*n = -2*y + 2, -y + 5*n = 17. Solve 0 = -y*s + 8 + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 3824?\nAnswer: 11472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(825) + (sqrt(1617) - ((1*sqrt(1617) - sqrt(1617)) + sqrt(1617))))\/(sqrt(275) - -5*3*sqrt(275) - sqrt(275)) + -3)**2.\nAnswer: -4*sqrt(3)\/5 + 679\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2 + r - 4. Let y(a) = -a**2 - 1. Let k(v) = -3*p(v) + 8*y(v). Let h be k(3). Solve -5*b = -h*m - 16, 4*m = 3*m - b - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 51 = -19. Suppose 5*a = j - 84, -a = 2*j - t*j + 372. Suppose 5*b - 634 = -j. What is the highest common divisor of 32 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -7 (c) -151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3240? (a) 5 (b) -1\/4 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 346440 divided by -69288?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16466 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 31 = 3*r, -3*r - 2*n = 31 - 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25162322?\nAnswer: 2, 23, 547007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1548 - 2?\nAnswer: -1550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.1, 20\/3, 13\/11, -0.4?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 9:43 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 - -82. Suppose 20 + l = -4*w. Let c(v) = -v**3 + 11*v - 14. What are the prime factors of c(w)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 58*u**2 + 268*u + 138. Let a be j(62). Calculate the greatest common factor of 78 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*i**2 - 3*i**2 - 2*i**2)*(-i + 5 - 5) - 96*i**2 + 94*i**2 - 4 + 7*i**3 - 6*i**3 to the form a*i + l*i**2 + f + j*i**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6880 - -9497. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 8*u - 12. Let n be (48\/14)\/(120\/28 + -4). Is y(n) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3344623 (base 8) to base 10.\nAnswer: 903571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*((-2*6)\/2 + 5). Solve q*s - s = 2, 2*k + 4*s - 10 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 7:56 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/112 and 76\/2314503.\nAnswer: 259224336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11914179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 1190*d**2 + 2*d + 1047*d**2 to r*d**2 + c + u*d and give r.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -h - 79. Solve 5*m = -h - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440*k - 360*k - 52*k**2 + 2*k**2 + 16*k**3 - 11*k**3 = 0. Calculate k.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a - 9. Let w be h(-6). Suppose 0 = w*j - 124 - 821. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -8*l**5\/3 + 358*l**4\/3 - 202*l**3 + 170*l**2\/3 + 86*l\/3 = 0.\nAnswer: -1\/4, 0, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n + 348 = 24*n. Let c be (n*(-7)\/140 + 3)*2. Factor 5*v**2 - 19\/5*v**3 - c*v**5 + 4\/5 - 16\/5*v + 7\/5*v**4.\nAnswer: -(v - 2)**2*(v - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a42 + -4068?\nAnswer: -3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010874948676 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*f + 10, 345*f = 349*f + c + 14. Sort -131, -8, f in decreasing order.\nAnswer: f, -8, -131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10586830, -10586823, -10586814, -10586803, -10586790, -10586775, -10586758?\nAnswer: -10586739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38 and 919400?\nAnswer: -34937200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 363?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*b**2*l**6 + 6*b**2*l**5 + b**2*l**2 + 94*l wrt l?\nAnswer: 2520*b**2*l**3 + 360*b**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = 5. Let m be 2 + r*(-3098)\/(-4). What is m rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-190))\/(1\/1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89465160 or 89465161?\nAnswer: 89465160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-6)\/24*10\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**4\/12 + r**3 + r**2 - 2*r. Suppose 4*k + 20 = 2*w, -9*w = 5*k - 8*w + 18. What is g(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**5\/30 + d**4\/6 + 5*d - 4. Let b(r) be the first derivative of i(r). Determine v, given that b(v) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -429334018 divided by -6046958\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 + 2*k - 2. Let j be (1 - 0)*-2 - -9. Let h(y) = y**3 + 13*y**2 + 7*y - 7. Calculate j*c(x) - 2*h(x).\nAnswer: -2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 45\/2*c**3 + 0 - 1\/20*c**5 + 14\/3*c**4 - 26*c + 0*c**2. Find the second derivative of x(b) wrt b.\nAnswer: -6*b + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -7. Suppose y - m = 50, j*m = 3*y + 2*m - 140. What is the smallest common multiple of 20 and y?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9612\/42)\/(-8 - 2104\/(-224)). Which is the second smallest value? (a) -3 (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 30*r**5 - 1010*r**4 + 65825*r**3\/6 - 102595*r**2\/3 - 277255*r\/6 = 0?\nAnswer: -1, 0, 11, 71\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2388)\/14)\/((-46)\/(-322)). Let j = 1722 + c. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7 + 4*p - 2 - 11*p wrt p?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123 - -123.1. What is the nearest to -0.1 in 5, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -9. Suppose t*z = 20 + 8. Calculate the highest common factor of z and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 17, w: 2}. What is prob of picking 2 t?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 32 = 5*n, 4*n - 25 = y - 4*y. Suppose -2*l - 102 = -0*l - 2*h, -67 = 2*l + 5*h. Let k = -14 - l. What is the remainder when k is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-5))\/(1\/(-20)). Suppose 2*b + 94 = g. Let s be (18\/b)\/((-6)\/40). Calculate the greatest common divisor of s and 96.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 + 207*n**2 + 101*n - 216. Calculate q(-103).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*i**4 + 1609481*i**2 - i - 262490480 with respect to i.\nAnswer: -132*i**3 + 3218962*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/694 or -1?\nAnswer: 15\/694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-86)*(-910)\/(-1170)*45\/35?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 2*p + p)*(6 - 4*p - 6) + 169*p**2 - 1905*p + 203*p**2 + 1905*p.\nAnswer: 376*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 4*p + 3. Let s be x(2). Solve 0 = -y - s + 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*d + 174. Let j = -13 + 25. Let p be (-164)\/(-10) - j\/30. What is the greatest common divisor of d and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/6*(-972)\/3024*4\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**3 + t**3 - t**3 + (-11*t + 15*t + 22*t)*(-341*t**2 - 384*t**2 + 576*t**2) in the form d*t**2 + h*t + a + b*t**3 and give b.\nAnswer: -3871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*b = -569 - 1021. Calculate the remainder when 612 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - ((4 - -6) + -3)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*4440\/3465 + -9.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -68?\nAnswer: -23\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 637*l + 203 - 615 + 211 + 201 + 3641*l**3 wrt l.\nAnswer: 21846*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*n = -6*b + 328, -2*b = -5*n - 148. Suppose -5*f = -32 - 8. What is the highest common factor of b and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a + 4*p + 60 = 0, 2*a = -p + 35. Let w = a + -20. Solve -2*y - 3*y + 15 = w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-95)\/(-3))\/(-1)*11\/((-440)\/(-48))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-5)\/(-2)*-2. Suppose 0 = -2*g - 2*b - 16, 0 = g - 4*b - s + 1. Let q(x) = x**2 + 4*x - 8. Let f be q(g). Solve z = u, 4*z + u = 4*u - f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3d6 (base 15) to base 10\nAnswer: -876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6 = n, -6*z - 9 = -7*z - 2*n. Solve 6 = z*x - 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 97*x + 401. Let t be z(-4). Calculate the greatest common factor of t and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18, 17, 18, 21, 26, 33?\n\"Answer: b**2 - 4*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let l(g) = 10*g + 1. Let d(n) = l(n) - 2*x(n). Differentiate d(t) with respect to t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 42*m**3 + 6*m - 4. Is 4 a factor of b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -4*l + 21, -317*p + 322*p + 54 = 3*l for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 525 and 3986601?\nAnswer: 697655175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2. Let k(j) = j**2 - 12*j + 43. Let m be k(13). Let p be 90\/(-8) - (-14)\/m. Let r(c) = 19*c**2. Calculate p*v(b) - 2*r(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57d19 (base 16) in base 10?\nAnswer: 359705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/30)\/(8\/3))\/(17*(-1416)\/60180).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 646286993 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-7)*((-4410)\/36)\/35?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 0*f - 175. Let h = f - -50. Let r(b) = 2*b**2 + 8*b + 6. Let o be r(-6). What is the highest common divisor of o and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 156*u - 74*u - 83*u. Let m(h) = -18*h. Calculate m(b(l)).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-3) - (12623\/(-39) + -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b - 10 = 37*b. Suppose -3*x - 2*k + 8 = 0, 7*x - 5*k - 3 = 3*x. Let q be x\/(2\/1) + -5. Put b, 4, q in descending order.\nAnswer: 4, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -3 (c) -0.2 (d) -4234565\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 0 + 3 + 1 + 3 + 24*o. Is d(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 0*v**2 - v**2 - 6 - 6 - v + 12*v. Let k be s(10). Let l = 0.2 - 0.1. Which is the second smallest value? (a) k (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 8:05 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*d - 383*d + 3*y = 15, -3*y + 21 = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1363 and 5263355?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1715, -1704, -1693, -1682, -1671?\n\"Answer: 11*r - 1726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 5*l**2 - 4*l - 8. Let k be d(-5). Calculate the highest common divisor of k and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t. Let i(u) = -6*u + 2. Give -i(g) - 8*x(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 - 79.7. Let o = -23.3 + x. Let u = -0.3 + 0.1. Which is the nearest to 2\/7? (a) 4 (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1895267863?\nAnswer: 31, 53, 127, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6316058 and 679.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 610*o**2 - 1 + 1 + 295*o**2.\nAnswer: 905*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4679 + 0*p - 9280 + 4614 + p.\nAnswer: p + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 1. Let z(i) = -2*i**2 - 3*i + 3. Let h(w) = -3*g(w) + z(w). Let d(k) be the first derivative of -k**3 + 6. Determine h(d(s)).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3 = 2*h + 12, 4*h - 3*m = -9. Factor h*b**2 + 1\/2*b + 1\/4*b**4 - 1\/4 - 1\/2*b**3.\nAnswer: (b - 1)**3*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 72, 105, 158, 237, 348, 497, 690?\nAnswer: 933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 151323.38 to the nearest 10.\nAnswer: 151320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.2738, 2, 2\/5, 0.5 in decreasing order.\nAnswer: 2, 0.5, 2\/5, -0.2738, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 83027.77 tonnes in milligrams?\nAnswer: 83027770000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 - (-3 + 2) - (-3 + 2). Let d(c) = 19*c**2 - 11*c + 13. Let x(n) = -10*n**2 + 6*n - 7. Let h(g) = s*x(g) + 6*d(g). Calculate h(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b + b)*(-2*b + 2*b + b**4).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -11*i + 7*i + 12, 2*y + 5*i = 15. Sort -1, 5, -6, y in decreasing order.\nAnswer: 5, y, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-3)*-1*27\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 528095568 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40*7\/14*(-4)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obnyyyyno. What is prob of sequence yny?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let f be w(-5). Suppose -3*h - f = 4. Suppose 308*b + 20 = 312*b. Put -4, h, b in ascending order.\nAnswer: -4, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -8*b**3\/7 - 128*b**2\/7 + 5590*b\/7 + 99846\/7 = 0.\nAnswer: -43\/2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**6\/180 - 3*m**4\/4 - 2*m**3\/3 + 2*m - 47. Let q(n) be the third derivative of c(n). Let v(d) = -2*d. Give q(v(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/158*(-60)\/(-45)*63\/420.\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 764*o - 762*o, -2*w - o = -4*o + 11 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 639*m**2 + 63*m + 175. What is the units digit of h(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 539629 * -5\nAnswer: -2698145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 37*x - 301. Give q(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/291 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(133)*-5 - sqrt(133)))\/((sqrt(84) + sqrt(84)*-5 - sqrt(84))\/sqrt(12)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 + 0.09. Let u = z - 0.1. Let p = -0.33 + u. What is p rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1123 + 1152020?\nAnswer: 1150453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**3 - 2*f + 1. Let w(y) = 3*y**3 - y**2 - y. Let u(h) = -4*p(h) + 5*w(h). Calculate u(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**4\/4 - w**3\/3 + w**2\/2 + 60*w - 13. List the prime factors of l(0).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 116 = -5*o, l = -2*o - 12 + 56. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 0.4, 4\/3, 2\/213, 4, 5?\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from {n: 2, w: 1, s: 1, e: 9}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -113\/2. Let n = -437\/14 - t. What is the nearest to n in 0.2, 0.1, 2\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-17)\/85)\/((-1)\/4))\/(28 + 4768\/(-160))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*f - 350*f - 2816 = -261*f for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rts when three letters picked without replacement from {d: 3, u: 2, v: 4, t: 1, s: 2, r: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -240*h**4 + 1926*h**2 + 25*h - 5271?\nAnswer: -2880*h**2 + 3852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i = 21*i + 335. Let c = 6 + i. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9242850, -18485707, -27728564, -36971421?\n\"Answer: -9242857*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173983.\nAnswer: 19, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92109 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -13141*o - 50. List the prime factors of h(-1).\nAnswer: 13, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - (-33 + 49)) + 30?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*j + 544 + 116. Suppose 0 = -j*l + 47 + 28. Solve -l*p - 4*d + d = -4, 3*p + 4*d = 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6154 (base 8) to base 9.\nAnswer: -4323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7138244.\nAnswer: 2, 1784561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 121 + 97 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 442\/(-6))\/((-2)\/3). Suppose 17 = -9*r - b. Is r >= -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105.12576+10\nAnswer: -95.12576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n. Let d(m) = 3*m. Let j(p) = -3*p. Let i(u) = 3*d(u) + 4*j(u). Calculate i(x(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from nzzzihzzzihddad.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + i + 4 = 0, -y - 31 = 5*i - 25 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5577206347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + 0*b**3 - 2*b**4 + 3*b**4 + 0*b**3 + 0*b**3 + (-15*b**4 - 39*b + 39*b)*(-3 + 2 + 2) + 0*b**4 + 2*b**4 - b**4 - b**4 + 6*b**4 - 3*b**4.\nAnswer: -11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*s - 15, -s = -2*s + d - 7. Let f be s*(-1)\/4*-44. Let c = f + 78. Calculate the remainder when c is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -1. Suppose t*z - 4 = 4*z. Suppose 0 = -4*i + 2 + 14. What is the highest common divisor of i and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-20)\/(-72))*-7. Suppose 3*n - 213 = -3*b, i = 2*b - 3*n + n. What are the prime factors of b?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 9*b**2 + 10*b + 8. Give s(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 11*w**2 - 12*w - 4. Let r be k(12). Let a be (9\/6)\/(9\/(-24)). What is the nearest to r in 0.4, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7710*b**5 + 53*b**3 - 87395*b + 19 wrt b?\nAnswer: 154200*b**3 + 318*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(33\/108) - 2. Let i = 58 - x. Determine v so that -20*v**2 - 26*v + 14*v**5 + i*v - 48*v**3 + 36*v**5 + 20*v**4 = 0.\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -10864*d + 434570. Determine z(40).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73320553 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 + 79 = 6*t. Suppose -t = -j + 3*j. Let a(f) = f + 16. Calculate a(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50324203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(114) - ((sqrt(114) + sqrt(114)*-2)*-6 + sqrt(114)))\/sqrt(6))**2*2 + 2).\nAnswer: 5480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from caynayy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -179 + 184. Let a(d) = 12*d**2 + 49*d - 16. Let j(c) = 12*c**2 + 50*c - 16. Let t(o) = i*j(o) - 6*a(o). Let t(q) = 0. Calculate q.\nAnswer: -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = 12. Let p = 4 - 4. What is the smallest common multiple of 15 - -5 - (0 - p) and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**7\/105 + 7*z**5\/60 - 13*z**4\/6 + 3*z**2 - 9*z. What is the second derivative of h(g) wrt g?\nAnswer: 24*g**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170\/7 at least 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 - 55. Let y = s - 35. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11252 - -11245. Let r(v) = -1 - v**2 - 311*v + 306*v - 1. Determine r(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/912)\/(1\/16)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55661548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 3 + 2*w**2 - 3 + (660*w - 256*w + 154*w)*(-5 + 5 + 6*w) as c + r*w + m*w**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Let v = -9749 - -9747. Let g(a) = 6. Let y be (2\/4)\/((-1)\/2). Determine v*w(u) + y*g(u).\nAnswer: 2*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -13*m**3\/6 - 3*m + 48. Let r(t) = -2*t**2 - 153. What is c(r(f))?\nAnswer: 26*f**2 + 1989","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -647 + 647 - 5*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**8\/504 - s**7\/126 - s**6\/90 + 11*s**5\/180 + s**4\/18 - 2*s**3\/9 - 8*s**2. What is r in a(r) = 0?\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232 divided by -15.\nAnswer: -232\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68*i**3 - 4*i**2 + 27*i - 212519?\nAnswer: -204*i**2 - 8*i + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8015 + 8017. Let i(d) = 5*d + 11. Let a(o) = -11*o - 23. Give q*a(g) + 5*i(g).\nAnswer: 3*g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -12128*r - 220489. Determine s(-18).\nAnswer: -2185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2 + 161*v - 318 = 0.\nAnswer: 2, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - z + 19 = -6, -36 = -4*d - 4*z. Let r = -2406 - -2404. Put -4, r, d, -1 in increasing order.\nAnswer: -4, r, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(45\/10))\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2321441240 (base 5) to base 13.\nAnswer: -1124700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 391 + -389. Suppose 2*l = q*s + 2, 0 = 2*l + 4*s + 4 - 18. Sort 31, 1\/4, l in ascending order.\nAnswer: 1\/4, l, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -2\/7, -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.771 - 781066321?\nAnswer: -781066328.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1 - 20*g - 134*g - 22*g + 180*g - 2. Let b(z) = -3*z + 3. Calculate -6*b(k) - 5*c(k).\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 13 = n - 5*n, 1 = n + 2*m. Calculate the greatest common factor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(2)*-1 + 3 + -4 + sqrt(96)\/sqrt(3).\nAnswer: -6 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18760778.\nAnswer: 2, 23, 407843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 6. Let q(j) = j**2 + 7*j + 3. What is q(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*m**2 - 65*m + 379589.\nAnswer: 30*m - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 - 17*d**2 + 10*d + 2. Let n be c(-12). Is (n - -4) + (-1 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.1. Let y = 0.3 - 0.3. Suppose 0 = -4*l - 16 + 4. Which is the closest to y? (a) l (b) n (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 - 2 + 2*b + b**2 + 3 + 2. Is j(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 + 215 = 4*k. Suppose -3*q + 5*a = k, -3 = -4*q + 3*a - 4. Calculate the greatest common divisor of q and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2\/7 (b) 5 (c) 0.03 (d) -1\/375\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 497\/6? (a) -133 (b) 1\/4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0486? (a) 0.4 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 0*p**4 + 4*p**4 + (0*p - 3*p**2 + 0*p)*(-p + p - 2*p**2).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92024*c**3 + 77*c + 2617 wrt c.\nAnswer: -552144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2363\/7 + 337. What is the biggest value in 1, k, -5, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -93*x**2 - 2250*x - 6238. Determine c(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 524262 and 212773?\nAnswer: 167239578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 648600032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 560 = 13*z. Let n = z + -54. Suppose a + 16 = 4*a - n*h, 5*a + 4*h - 12 = 0. Let u(k) = -5*k + 6. Let d(p) = 6*p - 7. Give a*d(i) + 5*u(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43 - -1a?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**2*k**4 + 283*b**2*k**2 + 9*b**2 - b*k**2 - 3*b*k + 5961*k**4 wrt k?\nAnswer: -144*b**2*k + 143064*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 673804141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67074, -134147, -201220, -268293, -335366, -402439?\nAnswer: -469512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/3))**(1\/9)*((u*u\/(u\/(u*u\/u**(2\/17))))\/u)**(-3))**(-15) assuming u is positive.\nAnswer: u**(13130\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.248 and 24806961784.\nAnswer: 24806961784.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 5 = -5*b, b - 97 + 424 = 5*b + 71*l for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3621925\/7 - 516011. Let v = t + -2827\/2. Find the common denominator of v and 79\/34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.06898t in nanograms?\nAnswer: 3068980000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*s, 4*w - 8*s + 7*s = 21. Suppose -4*j = -29 + 13. What is the smallest common multiple of j and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674844?\nAnswer: 2, 29, 23059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 - 31659*w + 31658*w - 83.\nAnswer: -w - 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 607.36 - -8.64. Let a = k - 616.00000279. What is a rounded to 7 dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, 1, -5, 9115093, 4 in increasing order.\nAnswer: -10, -5, -1, 1, 4, 9115093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11041432 + 1?\nAnswer: -11041431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 6151088.\nAnswer: 6151088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12163 * 0.065804\nAnswer: 800.374052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = g - 0. Let x(w) = 3*w - 9. Let z be x(4). Let n(m) = 2*m - 8*m - z - m**2 + 3*m. Give n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-10)*0\/2. Suppose j = -2*s + 2 - 22. Let d(l) = -l**2 - 15*l - 15. Is 7 a factor of d(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 81606.89g?\nAnswer: 81606890000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(4 + (-9)\/2). Suppose 4*t + 351 = i*d + t, -4*d + 354 = -2*t. Let c = d - 66. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1596873491.3 and 5713.\nAnswer: -1596867778.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17313, 69402, 156229, 277800, 434121?\nAnswer: 625198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (7 - 12 - -4)) + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a**4*n - 134*a**2*n**2 - 14*n**2 - 10 wrt a?\nAnswer: 12*a**3*n - 268*a*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893538 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2621*z - 311862. Calculate f(119).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*l**3 - 46*l**2 + 1396*l?\nAnswer: 54*l - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 8 + -10 + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1904*g - 2314*g + 4100 = 0 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaiiiaiiia. What is prob of sequence ia?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15455351917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 106\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3152, -3147, -3142?\nAnswer: -3137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**3\/6 + 485*y**2\/6 = 0.\nAnswer: 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -322*b**4*j - 2*b**4 + 2*b**2*j + 9*b*j - 5*b - 29 wrt b.\nAnswer: -3864*b**2*j - 24*b**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 15. Suppose -8*u + 4*u + 42 = 2*o, -b*u + o = -29. Suppose 6*q = u*q - 212. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**3 + o**2 + 0 - 6 - 2*o**3 - 2*o + 4*o**2. Let a be w(-5). Let r = a - -18. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*j + 5190 = 5846 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-784)\/224 - (-1 - -6).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46137 - 69594 = -2649*t + 91207 + 17786 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -9. Calculate the common denominator of (10\/l)\/(70\/225) and 11\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9939975 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/5 + 1\/15. Let g = -0.086 + -0.114. Let v = 0 - 0. What is the nearest to v in g, i, -3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/16 + (-9)\/((-90)\/20) and 91\/88?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*o, x - 69 = -0*x - 2*o. Let f = x + -128. Is ((-11)\/(-3))\/((-1)\/f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16632 - -16634. Sort 4, 1830, -3, h in decreasing order.\nAnswer: 1830, 4, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 0)*(-14)\/(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, -3, 626221 in decreasing order.\nAnswer: 626221, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 14. Let q be j(13). Solve w = q - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -13. Suppose r = -4*y + 3*j - 31, -2*j + 18 = -0*y - 2*y. Let l be y\/18 + (-94)\/(-18). Which is the third smallest value? (a) l (b) 0.5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from pvxxwkk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2380)\/68 + 40 + 27.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 410863.533?\nAnswer: -410861.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v - 2. Give i(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*k + 4 = -199*k. Suppose -u = -0 - k. Let t(z) = -z**3 + z**2 - 2. Calculate t(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8913*x**2 + 15*x**3 - 16*x**3 - 1.\nAnswer: -x**3 + 8913*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 717, -3, 1, -5 in increasing order.\nAnswer: -5, -3, 1, 717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2878927 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3 = 0, 14*l = 11*l - n + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3978329561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 257 - 265. Let f(h) = -10*h**3 + 5*h**2 + 8*h - 8. Let b(q) = -7*q**3 + 3*q**2 + 5*q - 5. Give u*b(i) + 5*f(i).\nAnswer: 6*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 232, 282, 368, 508, 720, 1022?\n\"Answer: 3*l**3 + 29*l + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 3632\/480*-2\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/10 (b) -3 (c) -0.3 (d) 3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - 0 - (-2 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 115.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 16*b + 7. Let m be o(8). Solve -4*j + m = -1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98035 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -523486*a*s**3 - 12*a + 2345*s**3 - 1465*s wrt a.\nAnswer: -523486*s**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/47 (b) -2 (c) 0 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.123 * 33\nAnswer: -37.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjmj when four letters picked without replacement from {m: 11, j: 5}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 4:08 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8487413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5\/7 + 12*r**4\/7 - 40*r**3\/7 + 8*r**2\/7 + 36*r\/7 - 20\/7 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64469\/302 + 4\/151. Let a = 433 + -203. Let h = t - a. What is the common denominator of -10\/7 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 149.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(117)*3 + sqrt(117) + sqrt(117) + (-1*sqrt(117)*-2 - sqrt(117)))*-6)\/((sqrt(3456) + sqrt(3456)*2)\/(sqrt(6) + sqrt(66)\/(sqrt(11)*2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -48 + 0\/3. Let l = 113 + o. Is -1*(0\/(-1) - l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004295 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1003542 (base 8) to base 6\nAnswer: 5354214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 50. Let t be l(-25). Suppose -4*u - 5*i + 9177 = 0, 0*i + 5*i - 5 = t. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 64 = 6*f. Let d = f - -134. Calculate the highest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1357739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2083688\/5 + -420743. Let z = 4018 + u. Find the common denominator of z and 94\/(-6) + 4\/(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 6. Factor 2*q - 3 + q**2 + f + 2.\nAnswer: q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 1. Let s(h) = 5*h - 6. Let p(u) = -4*u - 3. Let a be p(-1). Let t(o) = a*s(o) + 6*j(o). Let b(f) = -f. Give t(b(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1286421*y**5 + 1225088*y**2 wrt y?\nAnswer: -77185260*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 32. Suppose -3*k + 10*k - 77 = 0. What is the highest common factor of k and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1129362 and 173748.\nAnswer: 2258724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2620 + 2732 = 8*l. Calculate the greatest common factor of l and 2282.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -536.13 - -534. Round q to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from yrrr.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 124*q**2 - 125. Let g(c) = 61*c**2 - 62. Let r(f) = 13*g(f) - 6*w(f). Let t(v) = -v**2 + 1. Determine -5*r(h) - 280*t(h).\nAnswer: 35*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**14*u**(-16)*u*(u**(-7)\/u)**(-32) assuming u is positive.\nAnswer: u**255","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205096410.\nAnswer: 2, 3, 5, 29, 179, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -3. Let y be -18 + -38 + 26 + 27. Sort y, q, 3 in descending order.\nAnswer: 3, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 2:30 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*m + 7*m - 98*m + 20*m + 1 in the form w + n*m and give n.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(325) + 1*sqrt(325))*-1)**2.\nAnswer: 32500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -18103423?\nAnswer: -5\/18103423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - p. Calculate j(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/2 - 5*h**2\/2 - 3*h.\nAnswer: -h*(h + 2)*(h + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.108, 21\/2, 0.66.\nAnswer: 0.108, 0.66, 21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/(-8) + (-1)\/(-8). Let o(x) = -2*x**3 + 3*x**2 + 6*x + 10. Let z be o(f). Suppose -z = -2*i - 0*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -434 or 886?\nAnswer: 886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -11*t + 10*t. What is the greatest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2354288 is divided by 1177108?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - (5 + -17 + 34)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 12:40 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 18*u**2 - u + 1. Suppose 5*k - 23 = -m, 26 = m + m + 5*k. Let t be d(m). Calculate the greatest common factor of 40 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 1043*f**4\/4 + 1585*f - 891. Differentiate s(r) with respect to r.\nAnswer: 3129*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -94594 and 59694.587.\nAnswer: -34899.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (549 - 545) + 1\/(-1)*-5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/78308 and 59\/18?\nAnswer: 704772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 35 - (-4589 - -4579).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-29678)\/(-76)*(4 + 0) + -3. Solve -2*x - 1561 = -s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -16 (c) 3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 213, 570, 1431, 3012, 5529, 9198, 14235, 20856?\n\"Answer: 36*n**3 + 36*n**2 - 3*n + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-1)*(-29)\/((-754)\/52).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q + 51. Let o(v) = 5*v - 44. Give 3*h(b) + 4*o(b).\nAnswer: 2*b - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45, 18, 13, 42, 117, 250, 453?\n\"Answer: 2*g**3 - g**2 - 38*g + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c51 (base 15) in base 16?\nAnswer: 1807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51086 - -110343. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1300) + sqrt(91)\/(sqrt(252) - ((sqrt(252) - (sqrt(252) - (sqrt(252)*-1 - sqrt(252)) - sqrt(252))) + sqrt(252))).\nAnswer: 61*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 152\/82613 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to -176\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29, 103, 233, 425, 685, 1019, 1433?\n\"Answer: v**3 + 22*v**2 + v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -11243322?\nAnswer: 11243323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.258388 rounded to 2 decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of (-93)\/(-930) + 5558\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 - 108. Calculate the greatest common factor of a and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1794 = -4946*p + 5843*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + (-20)\/(-8))*(-30)\/(-5). Suppose -c - 5*d + y = 3*c, -1 = c - 5*d. Suppose -5*m = -6*f + f + 5, -m - 21 = c*f. Which is smaller: f or -30\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/5)*l)\/(l*l*(l*l*l\/l**(-2\/9))\/l*l))**(-22)*(l**(-1\/2)\/(l\/(l**(-1\/3)*l*l*l)))**21 assuming l is positive.\nAnswer: l**(10961\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1585 - -2239. List the prime factors of d.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*b = 183, 0 = -5*d - 7*b + 323 + 42. What is the remainder when 153 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 5*m**2 - 2*m - 10. Let u be n(-5). Solve u*x + 10 = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169.28773984 - -165.287741. Let z = -4 - u. What is z rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-18) + (-716)\/(-18). Suppose -2*c + 6*c = x. Let r = -5 - -9. What is the remainder when c is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1283 + 1283.3. Put 0.4, y, -5\/2 in decreasing order.\nAnswer: 0.4, y, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495104?\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12)\/((-50)\/(-2000))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 8. Let r(q) = -2*q + 15. Let m(d) = -5*l(d) - 2*r(d). Find the first derivative of m(f) wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -8512.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23799 is divided by 5603.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 + -61. Suppose 5*w + 213 = q, -2*q + 419 = -w - a. What are the prime factors of q?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 8) to base 9\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9988 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -34a5 (base 12) to base 4\nAnswer: -1123331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461 = -251*u - 12509 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2190853 divided by -5.\nAnswer: -2190853\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 9:06 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 505, 1, 15, 3.\nAnswer: 1, 3, 15, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 516453.\nAnswer: -3615171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**2 - 3867180942*d + 3867180942*d.\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*k - 152*k - 5 = 3*z, -5*k = z - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211111200122220122 + 1?\nAnswer: -1211111200122220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-20) + (-68)\/(-16)*(-136)\/(-170)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-75)\/(-4) + (-1)\/(-2) - (-32)\/(-128). Solve 0 = u*s - 42 + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4)*a)\/((a*a*a**1\/a)\/a))\/(a**(1\/5)*a\/a**(2\/9)) assuming a is positive.\nAnswer: a**(-224\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 3357*b**2 + 915729*b + 6575625.\nAnswer: 3*(b - 625)*(b - 501)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - y + 0 - 2 = 0, 2*y = -3*t - 4. Let f(i) = -i**2 + 2*i + 153. Let v be f(t). Suppose 4*m + 5*c - 59 = 3*m, 2*m + 3*c - v = 0. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.19, -0.1729, -10\/97, 0.5?\nAnswer: -10\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(6776\/33)\/(-44).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 592143*g - g**2 - 592147*g - 5842*g**3 + g**2.\nAnswer: -5842*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28853? (a) -98 (b) -0.4 (c) 0.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 + 19 + -23?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 58.75979g?\nAnswer: 0.05875979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. Let q be 2*(0 + r - -1). Solve 0 = 2*y - y - 4*d + 14, -y - q = -3*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 151021, 302047, 453073, 604099?\n\"Answer: 151026*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16639163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -547, -631, -769, -961?\n\"Answer: -27*q**2 - 3*q - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2f (base 16) to base 5\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-5 - 102 - 11)*(-6*j**2 + 3*j**2 + 4*j**2).\nAnswer: -236*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-100)\/40 - (-38)\/12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**5\/20 - 5*g**4\/6 + 11*g**3\/6 + 2*g**2 + 2*g. Let m be o(9). Suppose -4*q - m = -6*q. 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 seventh root of 16332998 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + 15.02. Let h = j - 14.4. Which is the closest to -1? (a) -4 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -28 - (44 + 4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-364)\/(-48)*(-4)\/6 and -2 + (-81)\/(-2) - 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57184 divided by 1787\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 10*o**2 + o - 48. What is the remainder when 1375 is divided by y(7)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184751338 take away -10?\nAnswer: -184751328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3929 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 - 81. Suppose -3 = h*o - 9. What is the least common multiple of o and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-3)\/3) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7464604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -3.8 (c) 0 (d) -1 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 3*o + 1. Let g be u(0). Differentiate 3*l - 5 + 13*l**2 - g - 2*l**2 with respect to l.\nAnswer: 22*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -364\/5 + 73. Let o(c) = c**3 - 8*c**2 + 7*c - 4. Let b be o(7). Let k be (5\/(-4))\/(b\/16). What is the smallest value in z, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -114, -160, -180, -168?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 209393875.\nAnswer: 209393875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8274.444nm in kilometers?\nAnswer: 0.000000008274444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnfooofonnongnnno. What is prob of sequence nn?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 836*x + 5000. Give s(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from gkllm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -21?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 8. List the prime factors of (-3)\/f + -1 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**3*z**3 + 41*u**3*z**2 - 69*u**3 - 3*u**2*z - 2*z**3 wrt z.\nAnswer: -18*u**3*z + 82*u**3 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3337881 - -3336788.9544. Let u = k + 1128.045385. Let s = -36 + u. What is s rounded to five dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (1 + 0 + -113). Let y = l - 106. Suppose 224 = 4*i + 2*o, -4*i - i - y*o + 274 = 0. What is the remainder when i is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/10 and -121\/1038.\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-15))\/(-2)*100\/140?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(3\/(-12)) - -46. Suppose 5*y - n = -3*w + w, 5*y + 25 = 3*w. Is 5 a factor of (w\/(-12))\/(((-6)\/(-16))\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*s - 5*s + 3*s)*(2 - 5 + 1) - 25*s - 34*s + 5*s - 1 + 2*s + 1)*(-s + s + 3*s) in the form c*s**2 + n + l*s and give c.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 3)\/((-3)\/(-47)). Suppose 0 = -2*w + l + 1. What is the remainder when 95 is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-66))\/(1\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -225501\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*(sqrt(130) + -2*sqrt(130)*-3)\/sqrt(10)*-3 + -5))**2.\nAnswer: -6720*sqrt(13) + 367312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1763293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a - 43. Suppose 5*p - 7*p - 14 = 0. Let q be d(p). Let v be 45\/(-18) + q + 4. What is the nearest to 10 in -1, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 + 1344133343?\nAnswer: 1344134040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -965*x**2 + 1894*x**2 - 947*x**2.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(32\/(-12)))\/((-1)\/(-24))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162 - 104. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a - 68*a + 13*a to n*a + p and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, 3, -85 in decreasing order.\nAnswer: 3, -85, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.7 and 275703139193.\nAnswer: 275703139193.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1396363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0 + 0)*(-1 + 11*s**2 + 3 - 7*s**2).\nAnswer: -4*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 912 = -3*k. Let v = -911\/4 - k. Suppose 5\/4*g + 1\/4*g**2 - v*g**3 + 3\/4 = 0. Calculate g.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -39*l + 1687. Give b(41).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(z + 0*z + 0*z) + z + 6*z - 5*z + (4*z + 0*z + 0*z)*(0 - 5 + 4) + (3 - 3 + 2)*(-18*z - 53 + 53).\nAnswer: -39*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -140324 (base 6) in base 7?\nAnswer: -53101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 4. Suppose m + 4 + 1 = 0. What is z(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = g + 5. Let x be 0*(8\/20 - (-27)\/g). Let d be (-4)\/(-3) - 1\/3. Solve w - d = -x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and ((-12 - -1) + -1)*(-8)\/24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 42. Let z = o - 11. Let i = -7 - -4. What is the third smallest value in i, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 149 - 20*i - 149 + 18*i. Let a(y) = y + 33*y**2 + 259*y**2 - y. Determine a(h(b)).\nAnswer: 1168*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114a0 (base 11) to base 8.\nAnswer: 40266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 4 + -7 + 1. Solve 3 = 4*u + g, 0*g + g + 5 = v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*l + 3*l. Suppose -4*a = -4*f, 3 - l = -4*a. Solve f = 2*k + 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 - 0 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 + 6*u**2 + 4*u + 1. Calculate q(5).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117343 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 3291252.\nAnswer: 4\/822813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 119 = 8*h - 10, -115 = -5*t + 288*h - 293*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 21, 4 in ascending order.\nAnswer: -1\/5, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -5*l**4\/24 - 25*l**3\/6 + 657*l**2 + 1. Calculate s(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-4)\/v)\/v*v**(-6\/11)\/v)\/((v**(-1\/10)\/v)\/(v\/v**(-8))) assuming v is positive.\nAnswer: v**(391\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - j + 6*j + (-8 + 8 - 11*j)*(1 - 3 + 1).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10115 - -14210. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 17*g + 71. Calculate the smallest common multiple of n(-11) and 2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l - 2*l + 4*l)*(2*l + 0 + 0) + 2767 - 1386 - 1388 + 7*l**2 as q*l**2 + r + d*l and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(5\/(-30960045)) + 5. Let h be -1*(-4)\/18 - n\/(-18). Round h to the nearest ten thousand.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 9295267?\nAnswer: 9295267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.3 - 23.7. Let u be (465\/70 - 6) + 1\/(-2). Put -5, w, -1, u in ascending order.\nAnswer: -5, -1, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 637*y**4\/8 - 2711*y**3\/3 + 4*y**2 + 45*y. Find the first derivative of o(n) wrt n.\nAnswer: 1911","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21692\/(-159720) + (-16)\/(-120). Is m less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sis when three letters picked without replacement from ssiiississssi?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 135767490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 12:36 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by ((-21)\/(-6))\/((-49)\/(-98))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*g - 41*g = 2160. Let d = -204 + g. Solve d = 3*j - 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 0)*(-1 + 2 + 3)*(1 - 4*v + 0*v + 2*v) to x*v + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 723a + -4?\nAnswer: 7236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**4 - 1815*j**3 - 130983*j**2 - 2725101*j - 15259104 = 0 for j.\nAnswer: -29, -9, 672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -919840517 rounded to the nearest 1000000?\nAnswer: -920000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 4. Let w be q(-6). Suppose w*d - 2 = 0, 2*d = 8*p - 4*p - 102. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1015\/534 + 6\/89. Let s = -114602217\/44338 - -165\/6334. Let n = 2592 + s. Calculate the common denominator of j and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -5105?\nAnswer: 3\/1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 442 + -397. What is the greatest common factor of v and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 23*i**2 + 15*i + 98. Let p be f(22). Which is the closest to 2? (a) -1\/8 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18342047 to the nearest integer?\nAnswer: 4283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n + 9*n - 15. What is the lowest common multiple of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 402612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2))**(-13)*d\/d**(-2\/7)*d**4\/d*(((d\/(d*d**6*d))\/d*d)\/d)\/(d\/((d\/(d\/d**(2\/5)))\/d)*d*d)*(d\/d**(-1\/4)*d)**(-50) assuming d is positive.\nAnswer: d**(-4421\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 0, 12*y - 4*z = 7*y + 275. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**5\/60 + 7*a**4\/24 + 10*a**2. Find the second derivative of g(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/283563 and 167\/324072.\nAnswer: 2268504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 4 - 3 - -1. Suppose 5*p - 45 - 15 = v. Suppose 0*u + 5*u - 316 = -4*c, -2*u = -3*c + 260. What is the greatest common factor of c and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 6*u**2 - 3*u - 4. Let m be t(-6). Suppose -2*n - 14 = -0*n + 5*g, 2*g + m = 2*n. Factor 0*x + 0*x**2 - 5\/2*x**4 + 0 + x**n.\nAnswer: -x**3*(5*x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2308 - 2304. Solve b*k = -4*o - 12, 12*o - 3 = 11*o + 5*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**4*v**2 + 2*f**4 - 3*f**3*v**2 + 2*f**2*v + 5*f*v**2 wrt f.\nAnswer: -120*f*v**2 + 48*f - 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saar. What is prob of picking 1 s and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 3 - 3)*(5*u + 0*u - 4*u) + 9 - 8*u**2 - 9 to the form x*u + k + l*u**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 872*w - 878*w + 1062. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 18*l**3 + 5*l**2 - 5*l + 1. Let s(v) be the second derivative of -9*v**5\/20 - v**4\/4 + v**3\/2 - v**2\/2 + v - 2838. Give -3*j(k) - 5*s(k).\nAnswer: -9*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6199, -4\/9, 437 in decreasing order.\nAnswer: 6199, 437, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y + y**3 - y**2 - 3*y**3 - 3*y + 3*y**4 to q*y**3 + v*y + r*y**2 + j + g*y**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 303 - 454. Round c to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -17*s**3 + 2715*s**2 + 668*s. Let c(p) = p**3 - 4*p. Let y(o) = -3*c(o) + r(o). Find x such that y(x) = 0.\nAnswer: -1\/4, 0, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4717900 minus 278?\nAnswer: -4718178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 485.5773 weeks?\nAnswer: 293677151040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 574943712 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 152.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(121) + sqrt(121)*-1) + sqrt(121))\/((sqrt(33) + sqrt(33)*-2)\/sqrt(3)) + sqrt(396)\/(sqrt(9) - (sqrt(27)\/sqrt(3) - sqrt(9))) + -4)**2.\nAnswer: -8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 10. Let i = m - 4. Let d = i + 10. What is the second biggest value in 0, -0.5, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002960205 rounded to 7 decimal places?\nAnswer: -0.000296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -459.\nAnswer: 4\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 5:37 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(539) - sqrt(539)) + sqrt(66)\/sqrt(6) + -4.\nAnswer: -6 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5685\/2274*60\/(-2)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7320 + -7318. Let j(r) be the third derivative of 1\/120*r**6 + 0 + 0*r**3 + 0*r + 1\/15*r**5 - 36*r**g + 1\/8*r**4. What is j(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201240358.\nAnswer: 2, 11, 353, 25913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:48 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -50892.6 minus -2446197?\nAnswer: 2395304.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2388*l - 2422*l = -9785846. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*n = -4 + 2, 5*b - 3*n + 3 = 0. Suppose i + 36 = 2*g, 5*g - 99 = -2*i - b*i. Let a = 138 + 71. What is the highest common factor of g and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, j: 6}. Give prob of picking 1 j and 2 q.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/21 + (-10)\/(-15). Let o = 168.5 - 168. Which is the closest to q? (a) -4 (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-5 + -1 + 17 + -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.2, 8, -16, -2\/37, -7\/12, -0.5?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3186952 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -521, -1112, -1703?\n\"Answer: -591*t + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -55*f - 5. Let w be u(-2). Let y = 74 + -137. Let v = y + w. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 + -18. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(2\/6*-3). Let b(q) be the first derivative of -q**4\/4 - 2*q**3\/3 - 3*q**2\/2 + 3*q - 1. Give b(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 19406015*x**2. Let i(p) = -2*p**2. Determine i(y(l)).\nAnswer: -753186836360450*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1008 - 3350?\nAnswer: -4358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -51*h - 1722. Determine a(-31).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 344279468*n**3 - 1032838428*n**2 + 1032838436*n - 344279480.\nAnswer: 4*(n - 1)**3*(n + 86069870)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = -2. Suppose 0 = -2*l + k*l - 27. Calculate the greatest common factor of 27 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1992 or -1940?\nAnswer: -1992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 910188 by 6.\nAnswer: 151698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1. Let t = x + -5. Let j = 106226 - 106230. What is the second biggest value in 1\/3, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from {u: 1, j: 3, n: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/7812*42*-3*23?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 43092 divided by 27\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**3 + 4*y**3 + 10*y**3 + 12*y**3 - 33*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b + 10 = -15*b - r, -8 = -b + 5*r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84*46.\nAnswer: -3864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-2)*(-300)\/360*(-6)\/(-4)*-4.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -32*a**3 + 379*a**2 + 73*a - 137. Calculate x(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14197597 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3131, 6267, 9405, 12545, 15687, 18831, 21977?\nAnswer: 25125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**3\/5 - 3139*l**2\/5 - 419*l + 1047\/5 = 0.\nAnswer: -1, 1\/3, 1047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 - 3*g**3 + 5*g**3 - 4078 + 4019 + 4*g - g + g**2 to u + a*g + q*g**2 + n*g**3 and give u.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -4, 2\/7, 37, -2\/7, 12 in decreasing order.\nAnswer: 37, 12, 5, 2\/7, -2\/7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.98 - -7. What is the closest to 0 in d, 3, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2205*j + 3197*j + 0 - 12425*j to q*j + c and give q.\nAnswer: -11433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/20, -3, -1, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**(-6\/13)*s))\/s)**(1\/46)*(s*s*s\/((s\/(s**(-12)*s))\/s*s))**(-33) assuming s is positive.\nAnswer: s**(177573\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 387911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 1:18 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48737089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y**2 + 5. Let s(n) = -7*n**2 - 6*n - 7. Let l(d) = d**2 + d + 1. Let b(x) = 6*l(x) + s(x). Let z = 9 - -5. Let u = -8 + z. Determine u*b(j) + k(j).\nAnswer: j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 - -0.07. Let t be (-3 - -6)*(-1)\/(-3). Which is the nearest to t? (a) n (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 86*l**4 - 42*l**4 - 53*l**4 - 2*l as o*l**4 + t*l**3 + x*l**2 + n + u*l and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 100*v + v**3 - 32*v + 44*v in the form q*v**2 + n*v**3 + w*v + f and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125\/3 - -42. Let l = 251\/3 + -83. What is the closest to l in w, -2\/15, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12195.154 to the nearest 100.\nAnswer: -12200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 10, 0.05, -1, 2\/215, 0.22, 2\/45?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - 2 + 2)*(10*w**2 - 5*w**2 - 9*w**2 - 3) in the form j + b*w + z*w**2 + d*w**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5576.762kg to micrograms.\nAnswer: 5576762000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -2\/3, -0.9 in ascending order.\nAnswer: -0.9, -2\/3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 146*r - 97. Let h(v) = -v. Give m(h(z)).\nAnswer: -146*z - 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 79, 329, 749, 1339?\n\"Answer: 85*k**2 - 5*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a4a + 212?\nAnswer: 1c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 c when four letters picked without replacement from {q: 9, c: 9}?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f = 22*f + 32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 51.5. What is the closest to 0 in 0.3, -11, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/2)\/((-483)\/(-552)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 11*n + 2. Let k be d(-5). Let j(p) = -2*p - 3. Let x be j(7). Let t = x - k. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78.4 + -76.4. Let u = 208 - 6442\/31. Which is the closest to u? (a) -1\/3 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50717 (base 12) to base 10\nAnswer: 104707","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 6:23 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from {g: 5, w: 3, i: 8}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.54 + 2.64. Put 7\/4, l, -1 in descending order.\nAnswer: 7\/4, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 315 + 48 = 0. Is (-4)\/(-6)*(n + 4) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-14) - 60\/(-14). Let q = 6 - 8. Does 9 divide (q + 18\/u)*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q**3 + 7*q**2 - 7*q + 16. Let c(k) = -7*k**3 - 6*k**2 + 6*k - 16. What is -7*c(j) - 6*y(j)?\nAnswer: j**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 1 = 5*d, -4*d = s + 39. Let v = 50 + s. What is the greatest common divisor of 23 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1949802711 and -20755.\nAnswer: -1949823466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1178.\nAnswer: -5\/1178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -m + q + 23, -2*m + 5*q = -2. Suppose -3*n - 2*y + 5 = -m, 3*n - 2*y = -4. Let g = n - -1. Solve 0 = -g*v + 6*v + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k**3\/17 - 387080*k**2\/17 - 6242826238*k\/17 + 4162056196\/17 = 0. What is k?\nAnswer: -32257, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8))\/((-201)\/(-1072)) + (1 + -18)*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 19*n**3 - n**2 + n - 1. Let z(c) = -2*c**3 - 2*c**2 + 1. Let b be z(-1). Does 9 divide q(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 984076*k**2 + 622729*k?\nAnswer: 1968152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12564368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 97, 94, 91, 88, 85, 82?\n\"Answer: -3*v + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4842)\/(-8070)*(-60)\/(-16)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, e: 8, y: 1}. What is prob of sequence eye?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24287539.000146 + -24287519. Let r = 20 - g. What is r rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by (-180)\/(-16)*48\/9?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**3*s)\/s)\/(s\/(s*s**(-2)\/s)))**14 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u**3 - u**2 - u - 2. Let n = -3 - -5. Let d be v(n). Suppose 2*l = 2*a - a - 17, -4*a + 2*l = -d. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-1*-5)\/(sqrt(147) + (sqrt(147)*-2 - sqrt(147)) + sqrt(147) - sqrt(147) - sqrt(147)))\/(1*sqrt(44) - sqrt(396)*-6).\nAnswer: -5*sqrt(3)\/798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t. Suppose 0 = -x - t*x. Suppose -2*m - 5*i = -40, 0*m + 3*m - 5*i - 35 = x. Solve 0 = 2*b + m - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 16 = 9*b - v, 0 = 5*b + 3*v - 64. Let j be 126*(3*-1)\/(-3). What is the highest common factor of j and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = b + 5*d, b = 4*b - d - 26. Solve 0 = -c + v, c + 3*v = b*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.02, -0.4, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-14 - 1)\/(9\/6). Let j = a - 9. Solve j*m + 0*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37702123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 10*h + 1. Let s(o) be the first derivative of -9*o**2\/2 - 207. Calculate 2*b(z) + 3*s(z).\nAnswer: -7*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 22 = -34. Let y = -16 - x. What is the common denominator of 69\/10 and 84\/(-51) - y - 1?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91.5 + 92. Let n = -19.5 + m. What is the third smallest value in 0, n, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15762377?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**2 + 96*w - 432 = 0.\nAnswer: -36, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - n = -3, -2*i - i + 2*n = 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 - 1 - (-158)\/237. Suppose -s + 8*h + 17 = 4*h, u = -h - 4. Put 7, 4, s in ascending order.\nAnswer: s, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 244, 363, 484?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*q - 39 = -107*q + 113. Sort q, 0.31, 2\/5, 1, 5.\nAnswer: 0.31, 2\/5, 1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 + 2*m**2 - 7 + 7.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -9. Suppose -5*k + 9 = 4*j, -4*k + j = -x*k + 21. Solve 0 = -4*v + 2*w - 4*w + 10, -k*v + 50 = -5*w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3230)\/(-760) + (-21)\/12*-1)*18. Factor -g - 3\/4*a**2 + 18*a.\nAnswer: -3*(a - 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 2*l**2 + 2*l**2)*(4*l**3 - 4*l**3 - 2*l**3) - 3*l + 3*l - l**5 - 2*l**5 - l**5 - 2*l**5.\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1520531 (base 7) to base 11\nAnswer: -131378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 114. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25910779777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001010000001011101111 (base 2) in base 9?\nAnswer: -4506242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*m**2 + 15*m**2 + m**3 - 54*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/150 and 29\/3977650.\nAnswer: 11932950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589125*u + 261 - 300 = -589146*u - 963 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 + 36 = 0. Suppose -9 = -4*x + n. Let s(y) = -y**2 + 16*y - 2. Let l be s(16). Which is the nearest to 17? (a) l (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.4 + 20. Let k = s - -1.4. Which is the nearest to k? (a) 0.2 (b) 0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 4*z = 3*h + 1516 - 1484, 0 = 20*h + 3*z - 135 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 357\/595 - (-1 + (-6)\/(-10))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(209)*-2 + sqrt(209))*3 + sqrt(209)*1*-3))\/(2*sqrt(99)*1*-2)*-2.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-7 - (-74)\/7). Let f = -143.5 - -144. Put -0.3, f, w in decreasing order.\nAnswer: w, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*a = -a - 4, 4*q + 3*a - 10 = 0. Suppose 0 = -2*c + 4, q*c + 290 = -5*j + 1753. Calculate the remainder when j is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 56. Suppose -936 = -3*k + 3*l, 2*k + x*l - 3*l - 606 = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, -8, -2\/21 in ascending order.\nAnswer: -8, -2\/21, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 0*i + 3*i + (-i + 0*i + 2*i)*(2 + 1 - 1) + 2*i + 0 + 0 + (5*i + 0*i - 3*i)*(3 - 2 - 2).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10560556 (base 7) to base 3.\nAnswer: 1201212010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = n + 3*n. Let j = n + 10. Let d = j + 11. Solve 2*i = -3*k - 17, 3*i - 7*i - 28 = d*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 71532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3 + 2 = 0, 5*l = -4*q + 54. Let x = l - -11. What is the remainder when x is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 320020?\nAnswer: -320011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 1459.32 and 1.\nAnswer: 1460.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j**4\/5 + 314*j**3\/3 + 14372*j**2\/5 + 119808*j\/5 + 5184 = 0 for j.\nAnswer: -36, -15, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/6))\/x**10*((x\/(x\/x**(-3))*x)\/x)**(-2) assuming x is positive.\nAnswer: x**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*o - 14534 = 165185, v - 4*o - 44938 = 0. What are the prime factors of v?\nAnswer: 2, 7, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + -7 + 1 + -4. Let b = j - 2. Let z(x) be the third derivative of -x**6\/120 - x**5\/10 - x**4\/6 + x**3\/2 + 9*x**2. Give z(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 3416178.\nAnswer: 3416186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 282 by 141152.\nAnswer: 141\/70576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 121871 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6\/5)*d*d*d**5)\/((d\/d**6*d)\/(d\/((d**7*d)\/d))) assuming d is positive.\nAnswer: d**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1693621.\nAnswer: 1693621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.358 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v - 3*v + 20*v + 10*v as j*v + a and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d = 10. Suppose 3 = -h + d*h. Solve 3*b + 18 = -h*f + f, 20 = -5*b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -0.5 (c) -5 (d) -3\/2 (e) -3\/10 (f) 106 (g) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 78614 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598939567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.52079 millennia to years.\nAnswer: 43520.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - (sqrt(143) + sqrt(143) + sqrt(143) + (-4*3*sqrt(143) + sqrt(143) - sqrt(143))))*-3)\/(sqrt(99)\/(sqrt(81)*-1)).\nAnswer: 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 53*q + 50*q)*(1087*q - 16*q**2 - 543*q - 546*q).\nAnswer: 48*q**3 + 22*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 115) + 112 + 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2 + 2 = 0, -5*q = -4*m + 187. Calculate the greatest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1*2\/(-8) + 847\/28 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/(y**(-12)*y)*y)\/y)*y\/y**(5\/9))\/(y**3\/(y*y\/(y*y**(12\/5)))) assuming y is positive.\nAnswer: y**(-673\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 137\/2 - (0 + 2\/4). Round v to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqhhhqqqhh. What is prob of picking 1 h and 1 q?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265.2*0.3.\nAnswer: -79.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggogdooodondgg. Give prob of picking 4 o.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 205357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 3*l. Let r(s) be the second derivative of 2*s + 24 + 1\/2*s**2 - 1\/6*s**3. Determine k(o) - 2*r(o).\nAnswer: -o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4058 + -4233. Is k greater than -182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -f + 10 + 6, -5*u + 169 = 4*f. Let y be (-7)\/(-18) + (-8)\/f. Let x = -0.6 + 0.2. Which is the biggest value? (a) 2\/3 (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*o - 30*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*u + 16 + 40 = 0, 5*v - 70 = -u. Solve 2*b + 5*n + 2 = 0, 9*b - 4*b - v = -3*n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.7150357 + -6.7209. Round r to 4 decimal places.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.9 (b) 0.1 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + 45*o - 45*o as q*o + l*o**2 + b and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - 0.22. Let n = h + 0.66. Let v = 1731 - 1726. What is the nearest to 1 in n, v, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1065253012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.40792 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (83 - ((8 - 0) + 0) - 3) + 5.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert c88964 (base 14) to base 7.\nAnswer: 111446254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = -3*k + 4*k + 194. Let i be ((-7)\/3 - -2)*-9. Sort k, i, -5 in decreasing order.\nAnswer: i, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33114637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 7*i**2 - 6*i + 4. Let y be z(-6). Suppose -5*f = 2*l - 7, 4*f + 56 = y*l - 0*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - -14. Suppose 0 = -42*k + j*k + 1026. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m - 1. Let a(r) = -r - 15. Let q be a(-16). Let l(i) = -3*i + 8*i + 0*i**2 + 6*i**2 - 8. Determine q*l(n) - 5*f(n).\nAnswer: n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46080, -50872, -55664, -60456?\n\"Answer: -4792*x - 41288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8 - 2. Which is the nearest to 2? (a) -0.1 (b) h (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 29*u**3 + 5*u**2 - 8*u + 7. Let a be o(2). Solve 12*j - 219 + a = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) + (-4*1*sqrt(144) + sqrt(144) - sqrt(144)) - sqrt(144)) + sqrt(144))\/sqrt(12))\/(sqrt(72)\/(sqrt(108)\/(sqrt(9)*3 + sqrt(9)))).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + ((-7)\/(-42))\/(1\/6). Let s(g) = 82*g + 4. What is the tens digit of s(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 + 31 = -13*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, b: 4}. What is prob of sequence bqqq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -712161 rounded to the nearest one thousand?\nAnswer: -712000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 29*m + 7710 = -m. Calculate the least common multiple of 3341 and m.\nAnswer: 3341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1607*o*p**3*t**2 - 2*o*p**3*t - 20937*o*p*t - o*t**2 - 2*p**3*t - 7*p*t**2 - 5*t**2 wrt t.\nAnswer: 3214*o*p**3 - 2*o - 14*p - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1290*c - 1015*c + 341*c - 39*c - 96144 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 4, -0.16, -315 in increasing order.\nAnswer: -315, -0.16, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - (-2)\/(-5) - 111360\/(-400) is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u. Let g(p) = 4*p. Let z(r) = 5*a(r) + 6*g(r). Let b(m) = m**3. Calculate b(o) + z(o).\nAnswer: o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u - 3896. Let j(o) = -4*o**2. What is j(a(d))?\nAnswer: -36*d**2 - 93504*d - 60715264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**6\/5 - f**3\/6 - 7*f. What is the second derivative of q(d) wrt d?\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179\/7 - -8041\/315. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 18756*z**2. Let k(m) = -4895*m. What is n(k(p))?\nAnswer: 449412984900*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, q: 2, p: 4, t: 1}. Give prob of picking 1 p and 2 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*l = 5*x, -2*x - 5*l + 27 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48218580 by -76.\nAnswer: 634455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - 57.3. Let m = 70.6 + v. Let w = 55 + m. What is w rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74103 = -662*h - 791*h for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -123650 (base 9) to base 12\nAnswer: -37409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 - l - 8. What is the remainder when v(4) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 + 4*r**2 + r**2 + 2*r**2 - 2*r**2 + (0*r - 3*r + 7*r)*(-5 + 5 - 2*r) - r**2 + 3*r**2 - r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 34*d + 569. Let i(h) = -27*h - 568. Calculate 5*i(l) + 4*k(l).\nAnswer: l - 564","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83\/2 - -43. Which is the nearest to 0? (a) l (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*v = -10374 + 1404 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1664 - -2599. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3))**(-4)\/(p*p\/((p**15\/p*p)\/p))**(2\/73))**(-19) assuming p is positive.\nAnswer: p**(-17100\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 + 10*k + 14. Let j be x(-2). Suppose 5*z + j*f = 5*f + 700, -2*f + 2 = 0. Which is greater: 140 or z?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 - 55?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 103 + 13 - 44 = 0 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 730805701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2318, -2313, -2298, -2267, -2214?\n\"Answer: h**3 - h**2 + h - 2319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - -5. What is the greatest common factor of 152 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93 + 105*x**2 - 93 + 87*x**4 + 186 wrt x?\nAnswer: 2088*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2486 - 9350 = -264*s for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = u + 3. Let j(w) = w**2 + w - 1. Suppose -l = 3*c - 2*c, 3*c = 2*l + 5. Let p(o) = -2*o**3 + o**2 + o - 1. What is c*j(d) + u*p(d)?\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7319 is divided by 2202.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvt when three letters picked without replacement from ttvvtttt?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1827 = o, -5*o - z + 5190 = -3891. What is the greatest common factor of 120 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -1. Let y be 1\/3*u\/(-5). Suppose -31*f + 0 = -0. Which is bigger: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1656 and 5488812.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 27*t**3 - 9*t**2 + 9*t + 40. Let r(j) = -7*j**3 + 2*j**2 - 2*j - 10. Let a(b) = -9*r(b) - 2*y(b). Differentiate a(f) wrt f.\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 0 - q + 10*q**2 + 0*q**4 + 0*q**6 + 83\/30*q**5 + 0*q**3 + 36\/35*q**7. Find the third derivative of f(a) wrt a.\nAnswer: 5184*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14545 - -10?\nAnswer: -14535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -461 (base 13) in base 16?\nAnswer: -2f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/71 - -55\/568. Let u(i) be the first derivative of 1 + o*i**4 - 1\/6*i**3 + 0*i + 0*i**2. Factor u(c).\nAnswer: c**2*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3590071 less than or equal to 3590056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80864 and 1376?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.45 - -1.5. Let u = l - -0.35. Let j = -243 + 243.01. Sort -0.5, u, j in descending order.\nAnswer: u, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 84*x - 70 + 70 + (x + x - 5*x)*(2 + 3 - 3).\nAnswer: 78*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/28*(-13 + 2581\/203).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/6*g**3 + 1\/6*g**4 + 2\/3*g - g**2 + 4\/3 = 0 for g.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/40 - 1*8\/(-10)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/9)\/(8218\/5283)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038 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: How many minutes are there between 2:08 AM and 9:18 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/163*(3060\/85)\/(-180)?\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.81544878524 - -7950.23555861476. Let f = -7951.13 + k. Let h = -0.079 - f. What is h rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1170 = q - 17195, 0 = -2*q + 2. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 412 = -110*f. Solve 0 = f*q - 3*x - 10, -3*q = x - 2*x - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/10 - (-19)\/45. Let s = -0.4 + -0.1. Let l be (4\/(-3))\/(12\/(-27)). What is the smallest value in t, l, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/3 - 2)*3. Let m be -2 + 36\/(-4) + f. Let g = -13 - m. Which is the third biggest value? (a) 0 (b) g (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i - 3879 - 902 + 2313.\nAnswer: 8*i - 2468","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4 + 3 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 233 and 84346?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + (0 + (5*(sqrt(304) + -5))**2 - (-5 + sqrt(304)*2)**2*-3)).\nAnswer: -3720*sqrt(19) + 35850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1551 is divided by 359?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0548889 to 4 decimal places.\nAnswer: -0.0549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -3*v**2\/2 + 129. Let o(x) = 200*x. What is l(o(q))?\nAnswer: -600*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 3. Let o be l(0). Suppose -54 = -o*z + 237. Let w = -199\/2 + z. What is the common denominator of w and 1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 1, h: 1}. Give prob of picking 1 d and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 422 - 4)*1. What is the common denominator of c\/(-150)*3 - 3\/(-5) and 65\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100000101111001 + -111001100?\nAnswer: 100011111110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 43*w**2 + 2*w + 2. Let y be c(-1). Suppose -y = -p - 0. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*j**3*w - 96*j**3 + j**2 + 2*j*w - 2*w**4 with respect to w.\nAnswer: 18*j**3 + 2*j - 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.060887459 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1160 is divided by 136.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2865*y**2 - 4 - 277*y + 2692*y**2 + 4 wrt y?\nAnswer: -346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -2*w**3\/3 - 15*w**2\/2 - 133*w. Let x(z) = -z. What is x(h(p))?\nAnswer: 4*p + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/36*(18\/63)\/((-27)\/441)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by 36.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Let l(j) = 2*j - 15 + j - 20*j**y - j**3 + 31*j**2. Is l(11) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2001, -2058, -2127, -2214, -2325, -2466, -2643?\nAnswer: -2862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -24. Calculate the remainder when 42 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*t**2 + 996 - 996)*(-4*t + 5*t - 2*t) - 3*t**3 + t**3 + 3*t**3 to the form s*t**2 + k*t + w + m*t**3 and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1033 = 308. Calculate the highest common factor of 29 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 - 598*i**2 + 5747*i + 9540. What is w(289)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/k*k**(-2\/9)\/k*k)**(-9\/13)\/((k\/k**(2\/7))\/k**(-1\/3)*k\/(k*k*k*k*k\/k**(1\/3))*k**(1\/8)) assuming k is positive.\nAnswer: k**(1259\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 16 = 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 divided by -7?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*c = -0 - 8, 2*c = -3*g + 5. Solve -l + 4 = g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and 2100.\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*w - 8*k + 11652 = 11616, 2*k = -12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -116 (b) -2\/9 (c) -1\/3 (d) -2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**6\/120 + l**5\/8 - l**4\/24 + 12*l**2. Let v(q) be the second derivative of u(q). Is 13 a factor of v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1300) + 0)*-5 + sqrt(1300) - (1 + sqrt(1300) + 4 + 5))**2 + -1.\nAnswer: 900*sqrt(13) + 32580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourteeen ninths of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b*b*b**(-10)*b*b*b)\/b*b)\/b)\/b**(-7))**29*(((b*b**4)\/b)\/(b*b**(-1\/3)\/b))\/((b*b*(b\/(b*b**(-8)))\/b)\/(b*b\/b**4*b)) assuming b is positive.\nAnswer: b**(157\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(17)*-2 + (sqrt(612) - sqrt(612)*-1) + (-2*sqrt(187)*5)\/(5*(sqrt(44)\/sqrt(4) + sqrt(11))).\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -8.1, -1, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 430 + -1711\/4. Solve t*n + 9\/4*n**2 + 3\/4 + 3\/4*n**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**2 - 408*b. Let d(o) = 2*o - 14. What is a(d(c))?\nAnswer: -24*c**2 - 480*c + 4536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8050 + -5777. List the prime factors of w.\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7*(27\/21 - 1). Let r be (-189)\/99 - ((-231)\/121 + 2). Sort 8, -1, r, n in descending order.\nAnswer: 8, n, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 39. Solve 4*s + 3*a = 25, 4*s - 2*a + a - 13 = g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:56 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1128\/(-47)*(-44)\/((-1760)\/150)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + z**3 + z**3 - 3*z**3.\nAnswer: -z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 122*w - 97*w - 100. Solve 2*b - 6 = -b + p, 5*p - w = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 7*s + 28. Find the third derivative of -2*o**6 - 3*o**6 - 4*o**4 + o**2 + s*o**4 wrt o.\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26633101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2472 is divided by 341?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*p**3 - 5*k**3*p**2 - 911*k**3*p - 11*k**3 - 4*k**2 + 19906*k*p**3 wrt k?\nAnswer: 6*p**3 - 30*p**2 - 5466*p - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 711 = 3*x + 3*d, -2*x - 681 = -5*x + 3*d. What is the highest common factor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*h - 42. Is 548*(h\/(-8) + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 - -171. What is the highest common factor of q and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20)\/(3\/9*-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (108\/15 + 0)\/((-8)\/(-100)). Let o = b + -53. Let a be 1\/2*2 - -36. What is the highest common divisor of a and o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 + 46 = -z. Let c = z + 203. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 4 (c) -3 (d) 46.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/18*6\/(12\/2).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68244577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.5 (c) -0.0806 (d) 0.4 (e) -11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 1536*f**7\/7 - 283*f**3\/3 + 1745. Find the third derivative of s(u) wrt u.\nAnswer: 184320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 + u + 0 + 7*u**3 + 1 + 1 - 3. What is the units digit of v(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 18 = -3*u, -79*u = 3*a - 76*u - 33. What is the remainder when 1138 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**3\/7 + 18291960*w**2\/7 + 67941783*w + 3091354422\/7 = 0.\nAnswer: -13, 6097346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 (base 10) in base 3?\nAnswer: -101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2541 and 4114?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 7087 + 22015 = -4*w, 5*i + 72741 = 4*w. Let r = -5158 - i. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1826 and 4.\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*y + 86848 = 0, 3*y - 268870 = 5*z - 703128. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 52*z - 38 - 5 + 53*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -11. Which is the closest to 1? (a) d (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 4. Let t be j(-4). Suppose 4420 = 5*p - 5*f, 3*p - 4425 = -2*p + 4*f. Is p + t*(-1)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44180 - 52420 = -10*m. Does 30 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, 1 in increasing order.\nAnswer: 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 + 9*c**3 + 7*c**3 + (-3 - 1 + 2)*(-c**3 + 4*c**3 - 4*c**3).\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 230 + -231. Let l(a) = -16*a - 6. Let c be l(r). Which is greater: c or 8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44886311.\nAnswer: 977, 45943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*p + 3*o = 0, -2*o - 4*o = -7*o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2. Let k(g) = g + 4*g + 9*g**2 - 5*g. Give j(k(n)).\nAnswer: -81*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 - 74761*n + 822621. Determine z(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 4*b**2 + b - 6. Let t(g) = -2*g**3 + 3*g**2 - g + 5. Let s be 15\/(-30)*(-3 - (2 + 5)). Calculate s*a(n) + 6*t(n).\nAnswer: -2*n**3 - 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12993 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1\/14, -0.01018, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16737\/4185 + -7 + 3. Let d = w + -12086\/654255. Let k = -33191\/5628 + d. Find the common denominator of k and -97\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5.2, -0.1, 1, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(100)\/(-5*sqrt(4)))\/(sqrt(5) - 6*(sqrt(5) - sqrt(405))))**2.\nAnswer: -6*sqrt(5)\/245 + 108046\/12005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 564023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f = 5*d - 793 + 838, f = -4*d - 45 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 21 = 73*o. Let t(m) = m + 16. What is t(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + ((16 - 8) + -8 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189020 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00047230212 to 7 dps.\nAnswer: 0.0004723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by (3\/(-18) + (-1463)\/(-66))*7.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-24))\/(32\/1408)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.340542ml in litres?\nAnswer: 0.003340542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/4 - (-1407)\/14. What is the greatest common factor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*h - 1072 + 3*h**4 + 3*h**2 + 14*h + 1070 + 2*h**3 to j*h + q*h**3 + o + n*h**4 + w*h**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -222? (a) -20 (b) -5\/3 (c) 0.01 (d) -3\/4 (e) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 264ab4 (base 13) in base 11?\nAnswer: 581715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -400.797269 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*c**2 - 309*c - 330.\nAnswer: -3*(c + 2)*(24*c + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 956 or -514?\nAnswer: -514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 less than 1881514?\nAnswer: 1881342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 587631582 divided by 6802\nAnswer: 86391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2821169 is divided by 669.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6060804 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c = 3498 - 2148 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2*8\/6 + (-45)\/(-15)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277, 278, 279, 280, 281, 282?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 2*r - 3. Let t be s(4). Is ((-55)\/t)\/(-1)*59 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, k: 4, c: 10, g: 3}. Give prob of picking 1 g, 1 t, and 1 k.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2451 + -386?\nAnswer: -2837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 713057, 0, -5 in descending order.\nAnswer: 713057, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 885472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4729 = -4*d - 4841, 68 = 4*z - 2*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 + 23970\/270 + 317\/9?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -10*m + 10. Let d be n(1). Solve -1\/2*h**2 + d*h + 0 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.017 in 4, 2\/303, 0.1, -36?\nAnswer: 2\/303","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6)*(-9)\/1. Let y = 4 - u. Is (3 - (y - 49)) + 3 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 260 (b) -1\/6 (c) 19 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezzeezz. Give prob of picking 1 e and 1 z.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38\/7? (a) 21 (b) 0.2 (c) -0.3 (d) 29 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2245, -8896, -19981, -35500, -55453, -79840, -108661?\nAnswer: -141916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((50 - 3*j - 50)*(-2*j + j + 0*j) - 753*j + 753*j - 15*j**2)*(j**2 + 2*j**3 - j**2).\nAnswer: -24*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87 + -85. Put -5, v, 5, -1.4 in increasing order.\nAnswer: -5, -1.4, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -301*1\/(-28) - (-2)\/8. Let u be ((-3)\/2 - 0)*(-23 - g). Is 55 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 13*j - 18. Let h be n(-8). Suppose k - s = -4*k, -3*k + 5*s + h = 0. Let t be k\/((-4)\/8) + 0. Solve 0 = t*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrvl. Give prob of picking 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-17)*1156\/(-408))\/((-5)\/(-120)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(102) + sqrt(102))*4 - (sqrt(102) + sqrt(102)*1*2 + sqrt(102)))\/(4*-2*sqrt(384)).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2)*(-2)\/(-6). Let w = 0 - -0.1. Suppose 0 = 5*m + 1 + 14. What is the nearest to v in -0.1, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.013+0.18852\nAnswer: 0.17552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10*s = 3*s. Let i(h) be the first derivative of 3 + 0*h**2 + 5\/4*h**4 + s*h**3 + 5*h. Differentiate i(w) wrt w.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*k - 64*k**2 + 140*k**2 + 33*k - 82*k + 21*k - 74*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w**2 + 9 + w**2 - 4*w**2)*(0*w - w + 3*w) + (6*w**2 - 3*w**2 + 2*w**2)*(0*w - 2*w + 4*w) as g + m*w + r*w**3 + l*w**2 and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7200*i + 64. Let r be k(5). Is (3 + -2 - -4)*r\/115 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + 3 + -5 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 216727993 rounded to the nearest one hundred thousand?\nAnswer: 216700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 128657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 + 4*r**2 + r + 10. Let l(j) = -j**3 - j + 2. What is g(v) - 3*l(v)?\nAnswer: -v**3 + 4*v**2 + 4*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 1:02 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 6013*o**6\/120 + o**5\/30 + 155*o**4\/24 - 2*o**3 + o**2 + 11*o. What is the second derivative of x(z) wrt z?\nAnswer: 36078*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5274*x + 68405. Calculate d(-13).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + s + 4. Calculate r(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -1 + (-11 + 2 - -12 - -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 45. What is the smallest common multiple of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + -4 + -5*sqrt(1008).\nAnswer: -53*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -636523 times 3?\nAnswer: -1909569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**4\/5 + 16*w**3 + 375*w**2 - 2194*w + 9016\/5 = 0.\nAnswer: -23, 1, 4, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {q: 11, z: 9}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Let x(a) = -2*a**3 + 1 + a - a**s - 2*a - 2. Let g(o) = -o - 4. Let q be g(-3). Give x(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 651*g. Let w(i) = 6*i**2 - 20*i**2 + 43*i**2 - 44*i**2. Determine w(r(o)).\nAnswer: -6357015*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-55)\/15)*(-63)\/56.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(-3\/4)*t\/(t**(4\/7)*t))**36)**33)**(23\/4) assuming t is positive.\nAnswer: t**(129789\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 153928 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-7695.\nAnswer: -1539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1700*f + 2476*f**4 + 1500 + 138*f**2 + 17*f**2 + 80*f**3 - 2471*f**4 - 40*f**2.\nAnswer: 5*(f - 3)*(f - 1)*(f + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h - 20 = 0. Let d = -7 - -1. Let z be 0 + -2 + d + 7. Sort h, 4, z.\nAnswer: h, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from {s: 2, z: 1, i: 4, x: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -15. Let q = -7097 + 113599\/16. What is the common denominator of (-62)\/12*6\/f and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2121 = -91*p + 224 - 616 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 3987*d**2 - 4*d - 3966*d**2 + 3*d. Suppose -4 = 4*f + 4*z, -z - 5 = -f + 4. Let y(c) = 4*c - f*c - 2*c**2. Determine y(g(v)).\nAnswer: -882*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.1, -3.2, -0.3, 1\/3 in increasing order.\nAnswer: -3.2, -0.3, -2\/9, -0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -13, -3 in increasing order.\nAnswer: -84, -13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8*d**3 + 2*d**2 + 2. Let z(f) = 46*f**3 - 13*f**2 - 281*f - 1. What is -6*u(g) - z(g)?\nAnswer: 2*g**3 + g**2 + 281*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -16. Let a(r) = -r**3 + 16*r**2 - 12*r - 16. What is the units digit of a(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -89.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (5 - 12) + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -79935 (base 15) in base 7?\nAnswer: -3200525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417*a**2 - 826*a**2 + 410*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649434 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*r**2 - 6*r - 195*r**4 - 17*r**2 - 4*r**2 + 2 + 179*r**4 + 2*r in the form n*r**4 + b + z*r**3 + l*r**2 + c*r and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 127253.6 at least as big as -4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 3\/2*u**2 + 5\/6*u**3 + 0 - 1\/12*u**4 + 2*u. What is b(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 9:38 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45755 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/214760 and 1\/29120?\nAnswer: 1718080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 7*w**2 - 198*w + 8. Calculate the least common multiple of t(-18) and 27449.\nAnswer: 219592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367478581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 5)\/(4\/46). Let q be h\/(-4) - (-2)\/(-4). Let z = q + -7. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)\/z*z)**10\/(z*z**(1\/3))**(2\/85) assuming z is positive.\nAnswer: z**(842\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000361 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001 + -10100010?\nAnswer: -1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 0)*4\/(-8). Suppose -o*c + 18 = 4*n, 3*c = -2*c + 25. What is the greatest common divisor of 8 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -2.3\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 679 and 194?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, 10, -3, -0.5, 98?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 104\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 48*t + 56. Let q(w) = -8*w - 11. Let a(u) = -2*i(u) - 11*q(u). Calculate a(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 10 + 13. Calculate the remainder when 317 is divided by ((3 + c)\/4)\/(3\/(-24)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-80)\/6*(-6)\/(-4). Let c be l\/150*10\/12. What is the second smallest value in -0.5, -3\/5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9 (b) 3 (c) 6.3 (d) 2 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3427 divide 1758657579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -102*r**4 - 6*r**3 + 6*r**2 + 6*r + 81. Let p(d) = -102*d**4 - 7*d**3 + 7*d**2 + 7*d + 80. Let o(m) = 7*b(m) - 6*p(m). Differentiate o(c) wrt c.\nAnswer: -408*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + h = -h + 2, -3*h = 3. Suppose -2*s = -j*g + 5 + 11, 4*g = -4*s - 20. Let i be (s*1)\/(28\/(-42)). Is i < 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5140 and -1.\nAnswer: -5141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*p**3 - 189*p**3 + 331*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g + 1. Let v be ((-16)\/10 + 2)*20. Let s = v + -5. Suppose -3 = s*i - 0*i. Give m(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n*n\/n**(-4))\/(n*n**0)**(-3\/13) assuming n is positive.\nAnswer: n**(29\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/21*3)\/(621\/4347) + 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 10*s = 80, -3*s - 388 = 5*g - 364 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h + 0*h - h. Let j(r) = 13 + 2*r**2 - 13. Determine w(j(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -40552222?\nAnswer: -40552224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/10*-2*141\/(-188). Suppose -4*k = 5*f + 3, -2*k = 3*f + 2 + 1. Suppose t - 40 = -k*t. Do t and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60460 take away 39934?\nAnswer: 20526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**2 - 7\/2*d**4 - 64\/3*d**3 + 0*d - 156. What is the first derivative of l(f) wrt f?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -313 - -312.88. What is the nearest to l in -5, -0.6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/42)\/(740\/(-777)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/4 + (0\/(-10) - 0) + -4. Which is the closest to -1? (a) -1\/16 (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/2 - (-3)\/6. Suppose 5*h - 11 = -3*d - 43, -4*d - r = h. Let o = 32 + h. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u - 3. Let b(x) = 31*x**2 - x + 1. Let y be b(1). Suppose 4*h + y = 2*h + 5*l, 2*h + 1 = -l. Calculate m(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a century?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-1)\/2) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 39*y**2 + 38*y. Let g be z(38). Which is smaller: g or -13\/11?\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -339401163 divided by 69393\nAnswer: -4891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 250, 376, 502, 628?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3132123 (base 4) to base 8\nAnswer: 33633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1\/5, 4, -2, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 99 = -15*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**5\/60 + p**4\/3 - 2*p**3\/3 + 4*p**2. Suppose 0 = -3*k + 5*s - 6 + 17, k = s + 5. List the prime factors of j(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 7 - 15. Solve -5*z = -25, -2*l - q*z + 4*z - 14 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-1)\/(4 - 1). Let r = 784.02 + -784. Which is the second biggest value? (a) -3 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 44259 = -5*q + 9*a, 2*q - 17726 = -2*a. List the prime factors of q.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*s - 4*u - 1, -20 = -5*s + 3*u. Suppose -4*d + 64 = 4*x - 3*d, 2*d + 93 = 5*x. Suppose 0 = 3*w - 5*k - 29, -w = s*k - 2*k + x. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*x + x. Let t(m) = -x*m + 2*m**2 - 4*m**2 + 3*m. Let i(c) = -2*c. Calculate t(i(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163 + 163 + 2*f)*(5 + 2 - 2).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11030926 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89070?\nAnswer: 2, 3, 5, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + -2*(-6)\/4. Suppose 3*m + 1 + 2 = 0. Let q = m - -5. Solve -q*o = -d + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybr when three letters picked without replacement from cbyrrjb.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489 - 199 + 393 + 17*x.\nAnswer: 17*x + 683","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1104110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 3*j + 12. Give l(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -75, 1433 in decreasing order.\nAnswer: 1433, 5, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -16) + (-7)\/((-14)\/(-10)). Suppose -f*a - 10 = -60. What is the greatest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 2:39 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 645*s**3 + 33*s**2 + 36*s - 40. Let q be v(-17). What is q rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 + -1 - (146 + -81)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -179.309 + 181.6. Let j = p + -2.3. What is j rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1777*i**3 + 1675*i**3 - 11*i + 11*i.\nAnswer: -102*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -d2 (base 16) in base 4?\nAnswer: -3102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/21)\/(a\/a**(-2\/45)))\/(a\/a**(2\/13)*a**(-4)) assuming a is positive.\nAnswer: a**(9028\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 h when three letters picked without replacement from taahhhallax.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49613 - 147199 = 7664*y + 301348 for y.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 6. Let d(z) = z**3 - 3*z**2 - 4. Let n be (-4 + -2)*2\/(-4). Let i be d(n). Sort -2, c, i in ascending order.\nAnswer: c, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13.5, 0.4, 4, 0.3, -18\/11, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -518\/171 - -66\/19. Let h = 8 + -7.7. Let r = h - 0.6. Sort w, r, 4 in ascending order.\nAnswer: r, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1238711 to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 641 - 646. Let r be (8\/(-8)*(1 + 0))\/q. Suppose -1\/5*y**4 - 3\/5*y**3 + 0 + 3\/5*y + r*y**2 = 0. What is y?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a centimeter in micrometers?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -5, -3*t + 7*z = 2*z - 34 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 618265047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.1, -38\/29, -2304 in decreasing order.\nAnswer: 2\/5, 0.1, -38\/29, -2304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6416 times -5\nAnswer: -32080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-836)\/11)\/(-19)*2\/20*1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -40. Suppose -h = -z*h + 10. Suppose 0 = 2*u + 5*t - 10, u - 5 = -2*t + h. Calculate the remainder when 29 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1182700 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 63286343.\nAnswer: -25314537.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9240\/9 + (-6)\/(-18). Let h = -350 + a. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, 593, 1582, 2967?\n\"Answer: 198*d**2 - d - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 28 = -5*i - 4*w, -44 = -2*i + 5*w. What is the lowest common multiple of (25 + 0)*1*2 and i?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 2*l**3\/3 - 19*l**2\/2 + l + 279. Determine d(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64699, -64659, -64599, -64519?\nAnswer: -64419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 304*d + 307*d + 24, -3*n + 3*d + 6 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**7\/105 - w**5\/60 - 2*w**2 + 1. Let a(r) be the second derivative of o(r). Find the third derivative of a(z) wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14 (b) -22 (c) 2\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1120 and 1541760.\nAnswer: 10792320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-13) + 205\/65?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5*k = 4 - 29, 8 = 4*k for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82842.\nAnswer: 2, 3, 13807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*o + 3*z + 33, 3*z = 3*o - 45. Let l = 11 - o. What is the units digit of 3\/9*(-63)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 630841199 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a - 16 = -j, -5*j - a + 61 = 0. Solve 2*z + 18 = 5*x, -4*z = 4*x - j - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -930588 * -4\nAnswer: 3722352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4742*b - 379361. Calculate m(-80).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 41 + 685993*l**3 - 685991*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 0, 417, -100, 72 in increasing order.\nAnswer: -100, -4, -2, 0, 72, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 0 - 2*f**2 - 3*f - 5*f**3 - 5*f**2 + 2. Let v(d) = -6*d**3 - 8*d**2 - 4*d + 2. Let y(s) = -4*v(s) + 5*z(s). Give y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8435620 is divided by 8435595.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12)\/(1\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 3553?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5524563+-0.1\nAnswer: -5524563.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 9*x**2 - 8*x + 8. What is f(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1152 + -461. Suppose -311 - w = 3*h. What is the common denominator of h\/84 + 4\/12 and -71\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133080, 266141, 399184, 532209?\nAnswer: 665216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 2*h - 13. Let r be l(-3). Suppose 20 = -r*j - 0*j + 4*b, -2*b + 10 = j. What is the first derivative of 2*o**4 - o**4 + 8 + j wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*m + 34068, 17*m - 16*m = -5*u + 34064. Suppose 5*o + 0*o + 4*b = u, -4092 = -3*o - b. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, -1\/2, 404, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2080, -2079, -2078, -2077?\nAnswer: -2076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - c = 10, 0 = 5*i - 3*c - 17 + 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68.29 + -38.766. Let c = 98.7 + d. Let n = 8.1 + c. What is n rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**2 - 4*c - 1. Give g(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*d = -16. Find the third derivative of d*l**3 + 9*l**3 - 12*l**3 - 3*l**2 wrt l.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 2:26 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {u: 4, e: 2, w: 10}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -478 - -480. Solve z - 19 = 3*g + 3*z, u*g + 2 = 4*z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 112832?\nAnswer: 2369472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 3. Let u be p(-5). Which is bigger: 4 or u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 9\/14 (b) 0.3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4, 2*k + 7 = 2*r - 1. Suppose -r*a + 4*y = 2*a - 75, 40 = 5*a + 3*y. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 5*c - 25, -h - 5*c + 17 = -0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(255*w**2 - 2326*w + 110*w**2 + 2326*w)*(-17 + 28*w + 17).\nAnswer: -10220*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*h = 5 + 1, 5*t = 4*h - 14. Let x(o) = -2*o**3 + o + 2. What is the units digit of x(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27704.98 to the nearest 100.\nAnswer: -27700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*m + 0 - 2\/3*m**2.\nAnswer: -2*m*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24856 divided by 104?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54, -98, -140, -180?\n\"Answer: g**2 - 47*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, 617, 2\/5, 0, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 12. Let j be v(-4). Let m = -22 - j. Let d = m + 100. Calculate the remainder when d is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 2.9?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 27 = -2*a, 461*a - 31 = 457*a - 7*s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -19.2 and 1854 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(198)\/(sqrt(36)\/sqrt(4) + sqrt(9)))\/(sqrt(704) - (sqrt(704) - (-1*sqrt(704) - sqrt(704)))*-5).\nAnswer: sqrt(2)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 + 503 = 30*y - 357. Calculate the remainder when 382 is divided by y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2986 or -260?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 17*v + 28. Let l = v - 9. Calculate the remainder when 8 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8210295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 - 43. Suppose 24 - 3 = v - 1. What is the remainder when p is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/11*p**3 - 6\/11*p + 0 - 2\/11*p**2.\nAnswer: 2*p*(p - 1)*(4*p + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/3 + 1854*d**2 + 1010565*d + 131610600.\nAnswer: -(d - 6072)*(d + 255)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10354, -10381, -10386, -10363, -10306, -10209?\nAnswer: -10066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*q + 13437 = 16541 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67233 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(578\/(-1734))\/(-129*4\/(-18)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 204565019*r**4 - 272862497*r**2.\nAnswer: 4909560456*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-eight fifths of a kilogram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - 67 - (34 - 1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 459512 divided by -1618\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/13 + 45920*r**3\/13 - 351180468*r**2\/13 + 892574835696*r\/13 + 15275489134086\/13 = 0. What is r?\nAnswer: -17, 7659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450770?\nAnswer: 2, 5, 45077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from fznzzjb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 394419.6 months?\nAnswer: 32868.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/10*35\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1115*j - 3123*j - 16064 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 6*j**2 - 15)*(1 - 2 + 3) + j**2 - 4*j**2 + j**2 + 3*j**2 - 3*j**2 - 4*j**2 - 2*j**2 + 3*j**2 - 11*j**2.\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3 = -5*j, 0 = 2*j + 3*t - 4 + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10747797149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52321049599.99969 + 52320049447. Let w = a + 1000148. Let q = 5 + w. What is q rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 268 - 380 = 0. Suppose -m = -2*w - 2*w. Suppose 3*h = 76 - 22. Calculate the greatest common factor of w and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36540 and 51786.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1301, -1302, -1303, -1304?\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*d = 111 + 9, 5 = 5*d. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 339 and 452.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from wow.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d + 17. Let p be i(1). Suppose -5*s - 3*g + 72 = -p*s, -2*s - 3*g - 18 = 0. Are s and -12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 875, -16\/3, 0.2?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/(u**(-5\/7)*u)))\/(u*u**(-26)))\/(u**(-17)\/u*u\/(u*u**(-15)*u)) assuming u is positive.\nAnswer: u**(212\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**2. Let o = 1 + -1. Suppose o = -2*b + 4*z, 3*b = -4*z + 8 + 2. Let w(g) = -4 - g**b + 2 + 2. Calculate k(w(a)).\nAnswer: -7*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*((sqrt(539) + 1 + 1)**2 + -1*sqrt(539)*6).\nAnswer: -168*sqrt(11) + 6516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 171, 295, 465, 681, 943?\nAnswer: 1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 476507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -162*r**3\/7 - 360*r**2\/7 - 74*r\/7 - 4\/7 = 0.\nAnswer: -2, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921388.\nAnswer: 2, 13, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**4\/60 - o**3\/15 + 3*o**2\/10 - 2*o - 5. What is k in i(k) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) -2 (c) -1.1 (d) 26 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 - 1. Let h = -0.2 + 0. Let m = -0.4 + 3.4. Which is the third smallest value? (a) h (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 246?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28040 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 210 - 150. What is the remainder when 1307 is divided by w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.44 + -0.04. Let m = -0.4 + 0.6. Let j = l - m. Is j bigger than -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9\/5 - 178\/15. Let w = s + 12. Let j = -6 + 5.6. Put w, 4, j in increasing order.\nAnswer: w, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(700) + 1 + sqrt(700) + 3 + sqrt(700) + 0 + -2*sqrt(700)*-4 + 3*(sqrt(700) + 0)))**2.\nAnswer: 12600*sqrt(7) + 1235025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -93679.9.\nAnswer: -93678.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - n - 24. Let f be i(7). Let s(v) = f*v - 8*v - v - 4*v**2 - 1 - 6*v. Let l be s(2). Which is smaller: l or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(sqrt(294)*2)\/sqrt(7)*5)\/(-3*sqrt(54) - -3*2*sqrt(6)).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njttslnddddtd. What is prob of picking 1 d and 1 n?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t. Let w(o) = -4*o - 4. Let h(r) = w(r) + 5*x(r). Let p be h(6). Is p at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 h, and 1 v when three letters picked without replacement from sgwpvwsvvvhpv.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21108823.\nAnswer: 137, 154079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745838881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) -0.5 (b) 1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*o + 1 = 2, -2*q = 5*o - 20. Suppose -2*h - 232 - 33 = -u, -q*u = 2*h - 1289. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2847*v + 2733*v - 90605 - 27163 = 1374*v for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25727.2 - 25727. Sort 2\/3, 8, -0.5, w, 84 in decreasing order.\nAnswer: 84, 8, 2\/3, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-51)\/34)\/(2\/(-4)). Suppose 61 = w*b + 55. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -5. Calculate the smallest common multiple of x and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 y when four letters picked without replacement from {n: 7, y: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432503045 to the power of 1\/2, to the nearest integer?\nAnswer: 37848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115134 + -115134.00050519. What is v rounded to 6 dps?\nAnswer: -0.000505","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 10. Let t(h) = h**3 + 9*h**2 + 16*h + 14. Let g(j) = 25*j + 45. Let l be g(-2). Let n be t(l). Sort 4, n, b.\nAnswer: 4, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**6\/120 + 33*d**5\/10 + 833*d**4\/2 + 9604*d**3\/3 + 202*d**2 + d. Solve x(z) = 0.\nAnswer: -98, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*j**6*z**2 + 2010*j**3*z**2 + 6*j**2 - 1700*j*z**2 + 3*z**2 wrt j.\nAnswer: -3360*j**3*z**2 + 12060*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 285 - 4941 = 0. Suppose -5*a = 4*p - 233 - s, 0 = -2*a + p + 267. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -911, -891, -871, -851?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 630 and 78276450?\nAnswer: 234829350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44202001 (base 5) in base 10?\nAnswer: 381501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**2 + 23*l + 75. Let m(p) = 26*p**2 + 93*p + 298. Let b(f) = 6*m(f) - 22*x(f). Let h be b(-23). Solve h = -j + 31 - 28 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 131 = 3*q + 2*q, r = 3*q - 72. Let p be (8\/(-10))\/((90\/q)\/(-9)). Differentiate -9*f**2 + 13*f**2 - 30 + 5*f**2 + 15*f**p with respect to f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 32 = -3*d. Solve 0 = 2*h + 4 + d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5831916170 to the nearest one hundred thousand.\nAnswer: 5831900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18 + 20)*(2 - (-60)\/(-28)). Let g = -6 + 6.2. Which is the fourth smallest value? (a) 2 (b) g (c) -1 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*p - 2 = 2*p, -2*p - 8 = l. Solve -l*n = n + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -594, -1234, -1874, -2514?\nAnswer: -3154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**3\/6 - 6*j**2 - 60*j. Suppose 3*b - 5*n = 8*b + 70, -n - 3 = 0. Calculate g(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2413)\/(-508))\/((-76)\/(-8))*5\/(580\/(-8))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n = 4*n - 243. Sort n, 1, 2, -2, 11 in increasing order.\nAnswer: n, -2, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 3*u + 1599 - 1590, 4*u - 13 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vutvvuvvuvvuuvuuuuuu. Give prob of sequence vv.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1852 + 1803. Which is the third biggest value? (a) 4 (b) 0.25 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v - 14*v**3 + 0*v - 3*v**3 + 0*v**3 wrt v?\nAnswer: -102*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58, 51, 44, 37?\n\"Answer: -7*a + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*s + 20. Suppose -s = k - 3*l, 5*k - 5*l - 8 = -l. Which is the second biggest value? (a) -3\/2 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 3780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (605\/(-99))\/11*(-12)\/10.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 52. Let b(q) be the first derivative of 1\/7*q**7 + 0*q + 2\/3*q**3 + 0*q**6 + 0*q**4 + 0*q**5 - 3 + 0*q**t. Find the third derivative of b(f) wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/5 + 45046392*m\/5 + 45046393\/5 = 0. Calculate m.\nAnswer: -1, 45046393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1\/4, 0, 8 in ascending order.\nAnswer: -2\/7, 0, 1\/4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - o + 21 = -4*h, 0 = -2*h - o - 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -156680, -313357, -470034, -626711?\n\"Answer: -156677*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 610 + -618. Let t = 18 + l. Solve 0*o + 5*o - t = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 2178*l + 49368.\nAnswer: -3*(l - 748)*(l + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 201438 + -30820138\/153. Let j = 10\/17 + u. Let t be -1 - ((-7)\/3 + 1). Which is the closest to t? (a) 2\/5 (b) j (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31 + 101?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-2)*(-68)\/(-17). Suppose 12 = 10*m - o*m. Let q = 0 + 0.1. Which is the closest to m? (a) q (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = 1260. Is k a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 46. Suppose 16 = -4*m - 0*m. Let j = -4 + 7. Put l, j, m in decreasing order.\nAnswer: j, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 8:37 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0241262 rounded to four dps?\nAnswer: -0.0241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.513828 * 0.25\nAnswer: -0.378457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 104569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 7 + 5 + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmnmnnmmmnmmnmlmmml. Give prob of sequence llnn.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1076)\/(-252) + 11\/(297\/12) + -5. Which is the fourth biggest value? (a) 4 (b) 0.08 (c) l (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 449 and 26931469.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -22. What is the remainder when 223 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23185799927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1873436, -1873209, -1872982, -1872755?\nAnswer: -1872528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 21*w - 21. Let g be d(19). Suppose 9*u = g*u - 9*u. Solve u = 2*h - 3*c + 16, -38 = 3*h - 4*c - 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 3 = 8*c. Suppose 3*d - 17*m - 80 = -21*m, 4*m = c*d - 60. What is the greatest common divisor of 196 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002 (base 3) in base 14?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 376 - 1879\/5. Let t(w) be the second derivative of 0 + 6*w + 1\/15*w**6 - m*w**5 + 0*w**2 + 0*w**3 - 1\/2*w**4. Factor t(a).\nAnswer: 2*a**2*(a - 3)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/92 + 33807\/32568?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17202638 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 4*i**2 - 6*i - 5. Let s be m(-5). Suppose s = -5*d - 15, 5*w - 4*d = -0*d + 22. Let g = 21 - w. Solve 4*o = 2*n - 0 + 14, 5*o - g = 4*n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270167, -270168, -270169, -270170, -270171, -270172?\nAnswer: -270173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**3\/3 - 188*c**2 - 1144*c\/3 = 0. Calculate c.\nAnswer: -2, 0, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**5 + 75*d**4 - 836*d**3 + 2623*d**2 - 2616*d + 752 = 0.\nAnswer: -47, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 13 = -o - 1, -6 = -2*d + 4*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 6.\nAnswer: -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 292*g**2 - 1997*g**2 - 660*g**2 - 738*g**2 - 148*g**2 in the form h + p*g + j*g**2 and give j.\nAnswer: -3251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/30 and 23\/2160.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5*15\/25\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q + 4*q - q**2 + 2*q**2 - 2*q**2 + 16. Let f be k(11). Suppose -15 = -5*c, 0*c = -f*p + c + 67. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 10*r + 1. Let p(f) = -2*f - 12. Let x be p(9). Let k = x - -21. Calculate the remainder when 27 is divided by n(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**2 + 6*k - 5. Let h be p(5). Let d = 2 - h. Round d to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5191269?\nAnswer: 3, 577, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/6*21\/(-147)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9 at least -212\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 144965 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t + 0*t - 48 - 9*t + 24*t. Let p be s(5). Let d(n) = -n + 3. Let l be d(6). Put l, 1, 2, p in decreasing order.\nAnswer: p, 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i + 131. Give t(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*y + 19138 + 23510 = 6722 for y.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**8\/64 + 39*k**5\/40 + k**4\/3 - k**3\/2 - 56*k. Let r(j) be the third derivative of h(j). Differentiate r(b) wrt b.\nAnswer: -315*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9061, 10398, 11735?\n\"Answer: 1337*f + 7724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -5*h + 3*v, 0 = -4*h + 2*v - 30 + 272. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -77. Let z(f) = -g*f**2 - 11*f**2 + 33*f**2. Let w(y) = y**2. Calculate w(z(o)).\nAnswer: 144*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1\/4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 10*q - 17. Calculate i(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1766463 divided by -321\nAnswer: 5503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*b**4 - 49432*b**3\/3 - 5809916*b**2\/3 + 701072*b\/3 + 2153840 = 0. Calculate b.\nAnswer: -109, -1, 10\/9, 1482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*a = 23*a + 23. Solve -4*g + s = 8, -a = 4*g - 3*s + 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/128 and -47\/32288.\nAnswer: 129152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgggkcgkrkr. Give prob of picking 1 r, 1 k, and 2 g.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 946\/10 + 12\/30 + -1. Suppose l - 1770 + x = -3*j, j - 2*l = 568. Suppose -5*n = 160 - j. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.08 (b) -76 (c) -1\/4 (d) 2.4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**4 - 1854 + 2192*s**5 + 1854 - 2750*s**5 - 3550*s wrt s.\nAnswer: -11160*s**3 + 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -1)\/(4\/6). Let x = 0.04 - 0.12. Which is the nearest to 0.3? (a) r (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124362 and 80981?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - 4*a + 6*a - 4 + 4 - a + (4 - 2*a - 4)*(-7 + 2 + 4) - 2*a + 4*a - 4*a + (25 - 9*a - 25)*(2 + 2 - 5).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(9\/(-108)*-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*i**2 + 3*i**4 - 22*i**2 - 6*i**4 - 55*i**6 - 11*i**2 + 34*i - 23*i**2 wrt i.\nAnswer: -6600*i**3 - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 41792 + 11258 = 0. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13583232 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 102*m - 321. Calculate g(105).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(6)\/(sqrt(9)\/sqrt(3) + sqrt(3)) + -4*(sqrt(2) - (-2 + sqrt(2))) + sqrt(8)\/sqrt(16))**2.\nAnswer: -24*sqrt(2) + 137\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -49890 divided by -23\nAnswer: 49890\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 142d (base 14) to base 2\nAnswer: 110111110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -29. Suppose 642 = 5*x + 8*v - 11*v, s*v = -3*x + 366. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 11*k**2 - 11*k - 15. Let c be b(12). Let x be (8\/(-10))\/(c\/645). Suppose 2*t = f - 0*f + 80, 4*t = 5*f + x. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 257 - 262. Let n(c) = -5*c - 4. Let x(p) = -6*p - 5. Let y(v) = d*n(v) - 4*x(v). Let u(w) = 4*w - 3. Calculate y(u(l)).\nAnswer: -4*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50134244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 - 1 = 3*z, 19 = f + 5*z. Solve 0 - 2\/3*j**f + 0*j**3 + 1\/3*j + 2\/3*j**2 - 1\/3*j**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23127690\/293 - -78934. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4267 + 17067\/4. Let m = 1.5 + -1.6. What is the fourth biggest value in 3\/10, q, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.33 (b) -20 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 34886 divided by -2\nAnswer: -17443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 17*g**2 - g + 18. Let k be p(17). Let o = -0.04 - -5.04. What is the nearest to o in k, -5, -2\/15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 76340 divided by 15268\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -274, -16 in descending order.\nAnswer: -5, -16, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5662 - -9382. List the prime factors of p.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1125) + sqrt(45))**2 - sqrt(50)\/sqrt(160) - (4 + ((sqrt(15)*-1 + sqrt(15))\/sqrt(3) + sqrt(20)*-3)**2).\nAnswer: -sqrt(5)\/4 + 1436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/(-11) + (-154 + 48 - -113)?\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a minute?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493.1482m to micrometers.\nAnswer: 493148200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**22)**(-1\/63)\/((n\/n**(1\/2))**(-18)\/(n**(-2)\/(n*n**(-6)))) assuming n is positive.\nAnswer: n**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 + 5)\/(1 - -1))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 298309608 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 5, m: 8, v: 7}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - p - 3*n - 26 = -2*n, 222984*p + 2*n = 222987*p - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 34 = -m. Let z(c) = c**3 - 13*c**2 + 4. Let q be z(13). Suppose -3*b = 3*t - 51, q*b - 15 - m = 5*t. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-35) + 44\/10. Let o = j - 2. Suppose 3*b = 2*a + o*a - 46, 0 = -a - b + 8. Solve 10 + a = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0308 and 726956?\nAnswer: -22390.2448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (3 - (-10)\/(-4))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.91 - -0.09. Let q = a - 11.84. Let d = q - -0.84. What is the closest to -1\/4 in d, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -516154.\nAnswer: 20\/258077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 44*k + 55. Suppose -5444 = -3*p - 1154. Suppose -28*d + p = -2*d. Let q(z) = -z - 1. Calculate d*q(r) + l(r).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((7 - 1) + -2) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = -2*g, 934 = -2*j + 3*g. Let d be ((-3)\/(-12))\/((-4)\/j). Factor 5*s**4 + 1 + 34*s**2 - d*s**2 - 11 - 15*s + 15*s**3.\nAnswer: 5*(s - 1)*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/6*-3*(-2025)\/(-243)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1252359600*i**3 + 455990370.\nAnswer: 3757078800*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/15)*u**29 assuming u is positive.\nAnswer: u**(433\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4376035 and 46710.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(20) - sqrt(100)\/sqrt(5))*5)\/((sqrt(110)*2)\/sqrt(11)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.061 * 3932\nAnswer: -239.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s\/(s\/(s\/(s**(-7)*s)))))\/s**(-3\/2)*((s*s*s\/s**(1\/3))\/s)**(2\/105))\/(((s**3*s)\/s)\/s*(s*s*s**(6\/7)*s)\/s)**(-8) assuming s is positive.\nAnswer: s**(583\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 139717 = -4*x, -4*g + 271*x - 274*x + 111773 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 644 = 289. Let z = -255 - 377. Let t = i - z. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1564 or -400?\nAnswer: -1564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -20.4. Let z = 1265 - 1264. Put -1\/3, v, z in descending order.\nAnswer: v, z, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Suppose 2*n - 5*q = 413, 3*n - 4*q - b = 607. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 3*x + 5, 168*x + 159 = -5*u - 631 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8.99911 + -0.3\nAnswer: -9.29911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 178 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/94 - 451044\/204732?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 11:39 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166 divided by -2909386.\nAnswer: 83\/1454693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94\/(-4512)*282*-8?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 7*y + 3*v, y = 3*v + 9. Solve a + 5*o = -24, a + y*a + 5*o = -36 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83536 - 261556 = 2070*k for k.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -101011101100001 (base 2) to base 3\nAnswer: -1010200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 57\/5 of a second?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 8:54 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34270*h**3*p**3 - 2*h**3 + 5*h*p**2 - 380*h*p + 3*h + 1132*p**6 + 3*p**2 - p wrt p.\nAnswer: 205620*h**3 + 135840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1678 + 1708. What is the lowest common multiple of 222 and x?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + 13 + -29 + 6 + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2 - 4. Sort 5, x, -1, -4 in descending order.\nAnswer: 5, -1, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s - 36. Let z = s - 7. Let c(w) = 2*w - 3. What is the units digit of c(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 13*y + 24. Suppose -3*g - 4 = -1. Let a be -1 - 0 - 14*g. What is the units digit of l(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9)\/o)**(-1\/4)*(o**3)**(-36) assuming o is positive.\nAnswer: o**(-3881\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6478\/13 - -9153466\/18369. Is 0 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.2*-4.2\nAnswer: 21.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8712 divided by -1\nAnswer: 8712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = 3*i + 4*f - 32 + 21, -i + 3*f = -3 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = 33*m - 48*m. Let l(h) = 10*h**2 - 32*h + 19. What is the units digit of l(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*-2)**2 - ((sqrt(704) - (sqrt(704) + -2))**2 + sqrt(704)).\nAnswer: -8*sqrt(11) + 4396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/1*136\/68?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*w - 4*w + 15750. What is the derivative of -686 + 3*u**2 - 36*u - 2*u**2 + w wrt u?\nAnswer: 2*u - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -16*y + 130. Let m be q(8). Solve -m*u + 11 = -2*g + g, -2*u - 3*g = 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 552102 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/306722 and -79\/380606?\nAnswer: 1241917378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115135*g**3 - 94161*g**2?\nAnswer: -690810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948252108?\nAnswer: 2, 3, 7949, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392616*l**2 - 276335*l**2 + l - 4*l + 3*l.\nAnswer: -668951*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/2 + (-55 - -52). List the prime factors of 666 + (0 - -8) + 5 + n.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 1. Let a(k) = 14*k**2 - 11. Let f(x) = -2*a(x) - 22*i(x). Let w(o) = 7 - 4 - 4*o**2 - 3. Calculate w(f(v)).\nAnswer: -144*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2542 and -18.\nAnswer: 4.5756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -7225 greater than -7248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.9356, -2\/685.\nAnswer: -1, -2\/685, 0.9356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3650\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2101070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/21, -0.34, 0.61, 5, 0 in decreasing order.\nAnswer: 5, 0.61, 0, -1\/21, -0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3*sqrt(256))\/sqrt(8))\/(-6*sqrt(4)*-5 - (sqrt(4) - ((-5*sqrt(64) - sqrt(4)) + sqrt(4)))).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*j - 40*j + 38 + 16*j - 38.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.92863 and 4747264?\nAnswer: 4747265.92863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885901691 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6465 (base 7) to base 9\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182.5 - 183. Let r be (1 + 1\/(-2))\/1. Put r, 0.6, v in ascending order.\nAnswer: v, r, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 42 - 2 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 - -109. Which is bigger: x or -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 30 = 44*c + 99 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -96*64\nAnswer: -6144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9\/63*6*42\/(-24)*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w = -17*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57.4 - -51. Let q = -1.6 + p. Which is the third smallest value? (a) q (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r - 24*r = 0. Suppose -4*i + 192 = -r*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80080 (base 11) in base 6?\nAnswer: 2302400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 + r - 23. Let i be o(-6). Suppose -4*b + 168 = -3*p, -3*p - i = -3*b + 2*p. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60*z**4 + 6694*z + 3502791?\nAnswer: 240*z**3 + 6694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 18\/91, 0?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + a?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3157 and 779.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/132 and 161\/30?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 964\/2 - (-7 + 4). Suppose 6*b = b + l. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -73, -79, -93, -115?\n\"Answer: -4*a**2 + 6*a - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4\/14)\/(26\/66794) is divided by 244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1720464 + 1720363.0053. Let q = k + 101. What is q rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/28770 and -187\/74760.\nAnswer: 10242120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4698? (a) -7 (b) 0 (c) 2\/13 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -2 + 7 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (443*g - 408*g - 558*g)*(3*g**3 - 4*g**3 - 3*g**3) to q + i*g**3 + a*g + p*g**4 + r*g**2 and give p.\nAnswer: 2092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3906, 7283, 10660, 14037, 17414?\n\"Answer: 3377*y + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 994*c**5 + 2*c**3 - 26*c + 35 wrt c?\nAnswer: 19880*c**3 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 34, -2, 651 in increasing order.\nAnswer: -2, 2, 4, 34, 651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 8*y**2 - 3*y + 9. Let h be b(8). Let p be ((-18)\/h)\/((-1)\/(-5)). List the prime factors of (p\/(-4))\/((-2)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/13 - -15\/26. Which is the nearest to 0.6? (a) p (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6\/t*t**4*(t*t**1\/t)**(1\/3) assuming t is positive.\nAnswer: t**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(32)\/sqrt(4)))**2 + -4*1*sqrt(17).\nAnswer: -4*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyysyysysyyyyyy.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 - 36*o - 4*o**2 + 63*o - 27*o.\nAnswer: o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2*(0 + 0). Suppose -3*x + t*x + 12 = 0. Let s = 6 - x. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -3, -685, 1, 17 in decreasing order.\nAnswer: 17, 2, 1, -1, -3, -685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 17*f**2 - f + 21. Let a be z(17). Let q be (0 - -176) + (a - 1). Suppose -1405 = -12*t + q. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -286*a**2 - 335*a**2 + a + 84*a**2 + 99*a**2 to p + m*a + h*a**2 and give h.\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 - (-88 + (44 - -6)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 140*o**2 - 278*o - 256. Determine y(-138).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 6*l + 2*l + 2*l - 6*l + l + l + 0*l + (3 - 1 - 1)*(-4*l + 0*l + 5*l))*(1 - 1 + l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15959 - -15868. Are l and -25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -302257257 divided by -183\nAnswer: 1651679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27892 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -724, -793, -860, -925, -988, -1049?\n\"Answer: s**2 - 72*s - 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = -50, 2*o + 6*m - m = -0*m - 7 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/63 <= -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + ((-1320)\/84)\/(-11).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154435?\nAnswer: 5, 67, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 364*l**3*s - 6*l**2*r*s + 2*l**2*s + 2*l*r + 36*l*s + 126*s wrt l?\nAnswer: 2184*l*s - 12*r*s + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c - 5*c)*(-2*c + 3*c - 3*c) + (c - 6*c + 3*c)*(0*c - 9*c + 4*c).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 3, 37, 105, 219, 391?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21773872 and 6392.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 109)\/(-10) - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**3 + 4*c. Let q(r) = 12*r**3 - 7*r. Give 10*n(s) + 6*q(s).\nAnswer: 12*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*l - 3*c, -4*c = -l - 5 - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2643546847\/31 - -85268347. Let g = t + 7357. What is the common denominator of -67\/4 and g?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0*m + 73 + m.\nAnswer: m + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 31 + 23 = 0. Let z(p) = -7 + 38*p - 45*p - p**2 + 9*p**h. Let q(v) = 7*v**2 - 6*v - 6. What is 7*q(s) - 6*z(s)?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 51 + 81 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 + 120*x**2 - 120*x + 129. Determine f(59).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25894353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 12) to base 4\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -649*b**2 + 274.\nAnswer: -1298*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 1 - 1)*(-31 + 14 + 2)*(-2*n**3 - 2*n + n + 3*n).\nAnswer: -90*n**4 + 90*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**4 + 6*o**3 - 2*o**2 - 6*o = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 803*a**2 - 6559*a\/2 + 270.\nAnswer: (a - 4)*(1606*a - 135)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 4*q - 2*q)*(557 + 1221 - 6418)*(-1 - 1 - 1) to c*q + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5146, -10287, -15424, -20557, -25686?\n\"Answer: 2*g**2 - 5147*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 4*l + 2, -3*y = -2*l - 10. Suppose 0*t = -y*t. Suppose t = 7*r - 2*r - 1705. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 1. Let x(y) = y**2 - 3*y + 7. Let b = -14575 - -14581. Determine b*h(f) + x(f).\nAnswer: f**2 + 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from {h: 1, a: 1, w: 11}.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*g**3*r - 127*a**3*g**2*r + 8*a**2*g**2*r + 2*a*g**3*r - 7*g*r wrt a?\nAnswer: 12*g**3*r - 762*g**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (1 - (12 - (-7 + (2 - -15))))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3732*h - 180441 = 3059*h + 104781 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -53. Solve 3*z + f = -5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115 by 91.\nAnswer: -115\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c = 833 - 1596 - 1006 - 462 for c.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 1. Let b(i) = -2*i - 6. Let m(l) = -2*b(l) + 6*r(l). Let z(v) = 2*v - 1. Let h be z(-1). Let x(n) = -4*n + 11. Determine h*x(u) + 5*m(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 26?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3361412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20111222111000210 + -21?\nAnswer: 20111222111000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/13)\/((-33)\/(-3)*(90\/165)\/6)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4 - 1)\/5)\/(3\/(-34134)). Find the third derivative of -6*t**5 + 11378*t**4 - 41*t**2 - c*t**4 wrt t.\nAnswer: -360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 92688*u - 2147766336.\nAnswer: -(u - 46344)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 157.5 + -158. Let d = -0.04 + 2.04. What is the closest to d in 2, 3, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**3\/6 + y**2 + 17*y. Let u be x(-2). Let m be (-30)\/76 - (-2)\/4. Sort u, m, -6.\nAnswer: -6, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/1187?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 8\/3 - 2\/15*u**2 - 16\/15*u = 0?\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-7))\/((-15)\/(-105)). Let b = w - -8. Let q be (40\/(-16))\/(b\/(-24)). Solve q*c = 3*c - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3678 + 1543.\nAnswer: -2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1130 + -9117\/8. Let f = -2014\/3 - -16019\/24. Calculate the common denominator of i and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(144))\/(sqrt(800) - (-2*sqrt(800) + sqrt(800))) - -3*(sqrt(72) + sqrt(72) + 1)*-2.\nAnswer: -717*sqrt(2)\/10 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4261140\/198 + (-132)\/(-121)?\nAnswer: 2, 3, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-216)*((-2)\/(-3) - (-44)\/(-165)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**7\/147 + z**6\/105 - z**5\/70 - z**4\/42 - 2*z - 8. Let k(v) be the first derivative of q(v). Solve k(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*w**2 - 3*w**2 + 8*w**2)*(-w - 2*w + 4*w).\nAnswer: 27*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 + 82 = 9*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-2 + -2 + (-4 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -4, -2.9661, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48? (a) 0.4 (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*t + 13. Solve -2*a = f + 1, 0 = -t*a + 4*f - 0 + 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -442 - -633. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 7, x: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*n + 6055 = 156*n - 3*h - 3230, -30 = -n + 3*h + 15 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 65*s**2 + 231*s + 77. What are the prime factors of f(-40)?\nAnswer: 3, 19, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 250*c*k*v**2 - 12*c*k - 2*c*v**2 + 2*k*v**2 + 4077*v**2 - v - 2 wrt c?\nAnswer: 250*k*v**2 - 12*k - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 66*i**2\/7 + 74*i\/7 + 8\/7 = 0.\nAnswer: -1, -4\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.095 - -3.095. Which is the third biggest value? (a) v (b) 4\/9 (c) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 - 1c4740?\nAnswer: -1c4751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10*o**2 + 2*o + 2. Suppose 4*v + 2*w + 11 = -3, 3*v + 2*w + 13 = 0. Let m be s(v). What is the greatest common divisor of m and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/33 + (-51)\/99. Suppose -w - 4*w = -150. Let s be (14\/(-10))\/(12\/w). Which is bigger: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwkkrkqbk. What is prob of picking 1 w and 1 k?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 0*i**3 - 9*i + 0*i**6 - 7\/12*i**4 + 0 + 3\/14*i**7 + 0*i**5 + 0*i**2. Find the third derivative of y(s) wrt s.\nAnswer: 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3, 0.1, -4\/5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 2016*t - 2209*t + 4464*t to the form q*t + x and give q.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*v**3*x - 2*d*v**3 - 28*d*v*x - 2*d*x**2 + 8*v**2*x**2 - v*x wrt v?\nAnswer: 6*d*v*x - 12*d*v + 16*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -455, -29, 47, -3?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-9 - (1 + -5)) + 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19810 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 j, and 1 p when three letters picked without replacement from {j: 3, t: 2, p: 2, n: 6, y: 1, q: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y + 7*y + 0*y - 18*y.\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/4*((-171)\/(-25) - 1) and 1\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(11))**2 + -5 + 0 + sqrt(11) + 4 - (sqrt(121)\/(sqrt(396) + sqrt(11)) + sqrt(11) + sqrt(55)\/(sqrt(5)*2)).\nAnswer: -9*sqrt(11)\/14 + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -143*f**4\/12 + 19*f**2 - 6*f. Let w(n) = 9*n**2. Determine a(w(j)).\nAnswer: -2574*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3792448 and 711084.\nAnswer: 11377344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x + 8*x - 38304 = 0. Suppose -29*f = -21*f - x. Is 29 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 - 9 = -2*c, 2*c - 10 = 4*p. Let o = -3 + c. Suppose -17 = -3*r - o. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i = 105. Suppose c + 4*c = 3*w + i, -4*c + 5*w + 28 = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**2 - 2*l**2 - 3*l**2)*(214 - 94 + 157).\nAnswer: 277*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 54*k - 14. Let b(i) = -i + 40. Let t(v) = 16. Let z(a) = -2*b(a) + 5*t(a). Determine r(z(d)).\nAnswer: 108*d - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 70*q**4 - 4*q**3\/5 - 490*q**2 + 2128*q\/5 - 24\/5 = 0.\nAnswer: -3, 2\/175, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(234))\/sqrt(2) + 1)**2.\nAnswer: 24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-12))\/((-6510)\/(-5859))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 65\/2. Which is the closest to 0? (a) s (b) 4 (c) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1650 by 330.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 198944422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*l + 3 - 3)*(-2 + 6 - 3) - 2*l - l - l)*(1 + 4 - 1) to the form g*l + f and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/((-1)\/3*-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 740721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -m + 2, -15*n = -16*n - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8439846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(2\/39)\/((v*v*v*v*v**(-3))\/v**5) assuming v is positive.\nAnswer: v**(158\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/9 and 528\/(-90) + -2*3\/30.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 2. Let x be d(0). Let m = 6 + x. Let w(a) = a**3 - 14*a**2 + a - 10. Let h be w(14). Solve m = -2*c - h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 79*q**2 + 322*q + 1626. Determine k(-75).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.08 + -0.08. Let v = l - 0. Put v, 0, 0.5 in increasing order.\nAnswer: 0, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/6 - 141*i\/2 = 0.\nAnswer: -423, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1174*n + 721 wrt n?\nAnswer: -1174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*i = 338, -13*q + 18*q + 5*i = -550. Let h = -127 - -288. Let l = h + q. What is the greatest common divisor of 10 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*z + 4*r, -4*z - 2*r + 34 = z. Suppose 0 = 2*k - z*k. Let o = 4884.5 + -4885. Put o, k, -3 in ascending order.\nAnswer: -3, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p + 3. Let q be w(2). Let h(d) = -15049*d - 5. Let i be h(q). Let x = i + -159338. What is x rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -312.2 - -312. Let x = -4.6 - -5. Let q = x + -0.3. Which is the nearest to 1? (a) 1 (b) q (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + -17. Let g = 24.4 + i. What is the closest to g in 1, -5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + -11a?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -982, -2997, -6800, -12973, -22098, -34757, -51532?\nAnswer: -73005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -14530 and -7576.5422.\nAnswer: -22106.5422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 2*g**2 - 5*g**2)*(-1 - 2 + 10)*(g**3 - g**3 - 2*g**3).\nAnswer: 28*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-2))\/((23660\/104)\/(-65)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1668\/9079?\nAnswer: 1668\/9079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16\/393 + 9601\/5502. Let q = z - 2\/7. Let -9\/2*u**3 + 4*u - 2 + q*u**2 = 0. Calculate u.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + p**2 - p. Let t(k) = -4*k**3 - 5*k**2 + 6*k - 1. Let o(x) = -t(x) - 5*y(x). Let a(g) = 14*g**3 + 21*g - 21. Calculate a(z) + 21*o(z).\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*r + 305, 0 = 2*o - 2*r - 181 - 425. What are the prime factors of o?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*o + 9424142 = 500*o. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 6) to base 14\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*b + 990052 + 232680. What are the prime factors of b?\nAnswer: 43669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -5177*z**6\/60 + 3863*z**5\/30 - 5*z**2 - 8*z - 1. What is the third derivative of j(o) wrt o?\nAnswer: -62124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215 and 109425841?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -267*a**2*w**4 + 4081*a**2*w**2 - 192*a**2 - 4713*w**4 wrt w?\nAnswer: -6408*a**2*w - 113112*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**5\/13 + 120*w**4\/13 + 1908*w**3\/13 + 232*w**2 - 5046*w\/13 = 0?\nAnswer: -29, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9230 in -1\/6, 2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 3\/1843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -26 + 10 + -13\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4\/7, -57, -0.04.\nAnswer: -57, -0.04, 0.4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80765 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 16 = 1, 0 = -2*v - 3*u + 19. Suppose 14*t - 16 = 10*t. Suppose t*x + x - 15 = 0. Solve -o = -v*s, x*s + 4 + 2 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s + 88 + s - 37 to the form a*s + t and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 164932189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188230313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 times 12814?\nAnswer: -4100.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvvyvvmfv. What is prob of picking 1 m, 1 h, and 1 y?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*y, -8*p - 113*y + 12 = -116*y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2 - 15680*y - 30732800 = 0.\nAnswer: -3920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (165\/(-11) - -12) + 222 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.3 + 7.1. Sort b, 2, -8, -0.1 in descending order.\nAnswer: 2, -0.1, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 0*p**2 - 5*p + 3*p + 2*p**2 + (2 - p - 2)*(32*p - 15*p + p).\nAnswer: -16*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g + 76. Let l be s(10). What is the third derivative of -45*j**2 - 41*j**2 - 12*j - 5*j**l - 10*j**3 + 80*j**2 wrt j?\nAnswer: -600*j**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 12*m + 4. Give c(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z = -128. Let m = z - 38. Solve 4*o + 2*k = -m, 4*k = -19 + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 f when four letters picked without replacement from {h: 4, f: 9, n: 4}.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvykykvkv. What is prob of sequence ky?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 324969 or 102?\nAnswer: 324969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2, -11, -40, -101, -206, -367, -596?\n\"Answer: -2*d**3 + 2*d**2 - d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -7 + 18\/(-9). Let g = 0 - 0.1. Which is the smallest value? (a) v (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1450 = -1435*m + 1493*m for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 135*j**2 + 760*j + 1200.\nAnswer: 5*(j + 3)*(j + 4)*(j + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -8*a + 70. Let o = -12 + a. Is o\/(-8) + (-116)\/(-16) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(70)*-2 + sqrt(70) + 1*5*sqrt(70))\/(6*(sqrt(60)\/sqrt(24) - sqrt(60)\/(sqrt(6) + sqrt(150) - sqrt(6)))).\nAnswer: 70*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/10 - 22531*h**2\/10 - 35080787*h\/10 + 1181715845167\/10.\nAnswer: -(h - 5863)*(h + 14197)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1268343.03 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2169, 8694, 19571, 34800, 54381, 78314?\n\"Answer: 2176*d**2 - 3*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*g**4*h - 205*g**3*h**2 - 121*h**2 - 22 wrt g?\nAnswer: 20*g**3*h - 615*g**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10153 (base 7) to base 14\nAnswer: -c9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5002022.9?\nAnswer: -5002022.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**5\/20 - k**4\/3 - k**3\/6 + 5*k**2\/2 - 49*k. Determine q(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**6\/120 - p**5\/12 + p**3\/2 - 5*p**2. What is w(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 369, 581, 793?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384 = 52*z - 240 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**3 + 3*g**2. Let s be u(-2). Let z = s + 2. What are the prime factors of (-4)\/(-18) + (-140)\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3514 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyyhhhccy. Give prob of picking 2 h and 2 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*w + 0*w - 11 = 0, 5*c + 5*w - 35 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpwpdyu. Give prob of picking 1 d, 1 b, and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -811.82 plus -1677207?\nAnswer: -1678018.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 71 + 17. Let p = 35 + -26. Suppose -p*h = h - 790. Calculate the remainder when h is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6566526*o. Let w(m) = 4*m. Calculate x(w(u)).\nAnswer: 26266104*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -36*w - 11. Let x(j) = -12*j - 4. Let z(u) = -3*a(u) + 8*x(u). Let s(g) = -g**2 + 10*g - 4. Let c be s(9). Suppose -4 - 1 = -c*l. Calculate z(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25559 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247840 a multiple of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m**4 + 35*m**3 + 3*m**2 - 20*m + 11. Let d(b) = -4*b**4 + 18*b**3 + 2*b**2 - 9*b + 5. Let c(i) = -3*a(i) + 5*d(i). Find r, given that c(r) = 0.\nAnswer: -1, 1, 8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x - 1. Let y(p) = -31*p + 6. Let q(w) = -33*b(w) - 6*y(w). What is the units digit of q(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/((-2)\/((-196)\/(-21)))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78147952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-12) + 10648\/6. Suppose -6*l + 1771 = -d. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9\/14, -0.1546, -17?\nAnswer: -0.1546","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/10 and -91\/2445.\nAnswer: 4890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 292\/20)\/(1\/(-15)). Let z = n - -31. List the prime factors of z.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 4, 27*a - 89*a + 35 = 29*m - 25*a - 34*a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.4859 rounded to zero decimal places?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + 0.15. Let k = w - -0.28. Let g = 13 - 18. Which is the second biggest value? (a) k (b) 3\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 21*z + 74. Calculate the remainder when 53 is divided by i(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*-3)**2 + -2 + sqrt(2448) - (-5*(sqrt(17) + 2 + sqrt(17)) - (sqrt(2448) + 0 + sqrt(17))).\nAnswer: 35*sqrt(17) + 22040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Let n(o) = -18*o**2 - 8 - 2*o - 2*o + 9*o**2 + 10*o**s. Let k be n(6). Solve 0 = c + 3*c + 3*b - 8, k*b + 1 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*v + 3 = 24, 5*i + 4*v - 26 = 0. Factor -12*l + 7*l**4 - i*l**3 + 7*l**4 - 17*l**4 + 21*l**2.\nAnswer: -3*l*(l - 1)**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 1. Suppose 5*n - 6 = -11. Let y(v) = -1. Calculate n*g(j) - y(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**4*c**2 - 2755366*b**4*c - 37*c**2 - 88936 wrt b.\nAnswer: 8*b**3*c**2 - 11021464*b**3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-1) - (-2 + 0). Let k(d) = -2*d + 12. Let j be k(14). Let n = j - -20. Solve 0 = -i*h + n*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 2:56 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 4*y - 42. Let f be r(-5). Suppose 3*d - 5*d + 2 = 0. Suppose -4*s = s + 5*c + 5, 0 = -5*s + 4*c + 22. Solve n = o - f, n = d - s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 259*j**2*k**2 - 19*j**2*k - 3*j**2 - 3*j + 1033 wrt k?\nAnswer: 518*j**2*k - 19*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 173 - 276. Let r = -2219.1 - -2314. Let c = r + s. Round c to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/(-420))\/(2\/(-25)*-3).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 3, u: 1, c: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r**3 + 4*r**2 + 5*r + 44. Let t(m) = -m**3 + m**2 + m + 11. Let o(b) = -2*q(b) + 9*t(b). Does 11 divide o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 17*d = 176. Suppose 0 = 3*i + 4*r - d, -r + 11 - 2 = 2*i. Solve 0 = -i*p - 2*j + 14, -5*p + 9 = -3*p - j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -6 - (-198)\/33. Solve h = 3*r - 5*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -26*t - 683. Let l(w) = 6*w + 170. Determine 9*l(x) + 2*z(x).\nAnswer: 2*x + 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25, -76, -213, -478, -913, -1560?\n\"Answer: -7*p**3 - p**2 + p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -x - 3*x. What are the prime factors of ((-4)\/x)\/((-6)\/207)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*i - 5*i + 16*i)*(3 - 3 + 2*i).\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.56 rounded to one dp?\nAnswer: 19.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 5:02 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + 2*o - 2. Let c(p) = -3*p**2 - 2*p + 2. Let v(j) = -c(j) - l(j). Let w(g) = 6*g**2. Calculate v(w(t)).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52903152 divided by 26451576?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)\/r**(-4))**(-2\/31))**(1\/22) assuming r is positive.\nAnswer: r**(-3\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - y - 15 + 3*y)*(-221*y - 335 - 343 + 679) to the form m*y**2 + r*y + a and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17905\/11 + 1631. Let p = -7191 + 5213481\/725. Let d = -47149\/2900 + p. Find the common denominator of d and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 363 + -36?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -106 - -95 - (-5 + -14). Let u(j) be the second derivative of -j**5\/20 + 2*j**4\/3 + j**3\/3 + 7*j**2\/2 + j. Determine u(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 35*u + 45. Let h be l(-4). Let w = h - -117. Solve 2*z - z - w = -5*b, 3*b - 12 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -571650 by -285825.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*d = -13, n + 5*d + 11 = -0*n. Let x = 92 - 62. Let w = 30 - x. Put n, w, 2 in descending order.\nAnswer: 2, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6415, 12838, 19259, 25678, 32095, 38510, 44923?\nAnswer: 51334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 248427 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.789518 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 15 = 7. Let n be (-5)\/(-10)*-2*r. Calculate the remainder when 23 is divided by (-18)\/36 - 54\/n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 * 31\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -64261, -64262, -64263, -64264, -64265, -64266?\n\"Answer: -u - 64260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102 + 202?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 146*i + 2776. Determine w(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11956?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**5 + 36792*l**4 + 84603200*l**3 - 36792*l**2 - 84603204*l = 0.\nAnswer: -4599, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p. Let s(q) = -q**2 + 144 + q - 298 + 6*q + 144. Let d be s(3). Calculate m(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(171) + -2*sqrt(171))\/sqrt(9) - (sqrt(19) - (sqrt(19) - -1*sqrt(475)))**2) - ((-2*sqrt(95)*4)\/(-6*sqrt(5)*-1) + -3).\nAnswer: -2372 - 11*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-2)*6503\/(-4645).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - 42. Let k be (-4)\/n*(-81)\/18. Solve 2\/3*p**k + 0*p**2 + 0*p + 0 + 2\/3*p**4 = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r - 2*r + 4*r**2 + r + 4*r. Let v be m(-1). Suppose -11 = -v*o + 2*s + 7, o + 5 = -3*s. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*r)*(2 - 3 + 3 + 0 + 0 - 1 + (-1 + 3 - 1)*(2 + 0 - 1) - 2 + 1 + 0 - 1 + 3 - 1 + 1 + 0 + 0 - 5 + 0 + 4 + 1 + 1 - 1).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6137 = 58*m - 54*m - 3*h, -4*m + 6147 = -h. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115329.\nAnswer: 3, 37, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011934761 rounded to 5 dps?\nAnswer: 0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -753531 times -1\nAnswer: 753531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*j - 148 = 2660 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 53*l**2 - 81*l + 382. Let p(c) = 705*c**2 - 1050*c + 4965. Let w(q) = 3*p(q) - 40*x(q). Determine z, given that w(z) = 0.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4753339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (-34 - 10) - -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s. Let j(h) = -7*h - 1. Let v be j(-1). Let o be z(v). Let u = o + 8. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 46\/90 + (-2)\/5. Let g(z) = -3*z**2 + z**2 - 8*z + 14 + 3*z**2 - 6*z. Let i be g(13). Is p at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-1\/4)\/i))\/i)\/(i\/i**(-5))*(i\/i**(-1\/4)*i)\/(i**(3\/2)*i) assuming i is positive.\nAnswer: i**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b + 4. Let q be (-1)\/((b\/17)\/2). Calculate the highest common divisor of q and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 5*m = 0, 17 - 34 = -2*m - 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2451*l - 2587. What is i(-1)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581*u + 23536 = 48519 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -15*r**2 - 9*r + 17. Let z be c(8). Let h = z + 3858. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/32286 and 19\/33.\nAnswer: 355146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i = -4*b + 40, 0 = -2*i + 2*b + 16. Calculate the smallest common multiple of 0 + 2 + (-72)\/(-4) and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(833) - (sqrt(833)*-2 + 5))*-6)**2 - 4*sqrt(833)*1*-4).\nAnswer: -1624752 + 44688*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -10*x. Let o(k) = -5*k + 7*k - k. What is c(o(s))?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/2 + (-36)\/(-20). What is the closest to 1\/2 in 0, p, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95043847.\nAnswer: 239, 397673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from zgttstz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -47, -104, -183, -284, -407?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 3:15 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -143*n**2 - 2*n. Let o(j) = -8*j + 75*j + j**2 - 67*j. Calculate x(o(z)).\nAnswer: -143*z**4 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*m**2 - 3*m**2 - 573*m + 570*m to the form s*m + q + b*m**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 - -131. Which is smaller: -47 or l?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n. Let u be 8 + (1 - 4) - 3. Let t(i) = i - 1. Let l(s) = -s - 1. Let p(j) = u*l(j) - 2*t(j). Give w(p(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 = 4*f - 133. Suppose -2*b - 3*b + f = 0. Let h = b + 12. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by -7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -46. Let y = i + -14.00089. Round y to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00092384027 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -47. Let n = 40 - p. Let q(o) = -o**3 - 10*o**2 - 9*o + 3. Let l be q(-9). Sort n, -1, l.\nAnswer: -1, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*k + 11 - 11 + (0 + 4 + 2)*(-k - 16 + 3*k + 24).\nAnswer: 26*k + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 56 - 38 + 7*b + 12*b - 58. Let n = 29 - 6. Is h(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(((-6)\/(-4))\/(5\/(-2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ascjz. Give prob of sequence sc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 + 0\/1)*-1. Let w(f) = 5*f**2 + f - 1. Let r(k) = -k**3 + 6*k**2 + 14*k - 7. Let s(v) = -r(v) + 4*w(v). Is s(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 20*w. Let c(l) = 33*l**2. Determine y(c(d)).\nAnswer: 660*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 2 (b) -0.3 (c) 2\/13 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/3, -65, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2)\/(10\/80). Suppose -z*l - 106 = -2*w, 0*w + w + l = 47. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c - 63. What is k(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22 and 178\/44 + (-6)\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/7*(15\/(-6) + (-5)\/5). What is the nearest to x in -0.4, 1\/23, -5, -2?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 10 + 30. Let p = f + -8. Find the common denominator of 107\/12 and p\/(-2) + 135\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 6. What is the second derivative of -13*k - 16*k**2 - u*k**2 - 8*k wrt k?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270 = 31*f - 9 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.43 + -0.13. Sort h, -6\/5, 4 in descending order.\nAnswer: 4, h, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 20*m**3\/3 - m**2\/2 - 12*m - 10. Is w(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/495 and 77\/40.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*f - 7. Suppose 3*n - 1 = f. Calculate the highest common factor of n and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 230.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*p + 25, -10 = p - 3*p + 3*x. Suppose p*f + 14 = h + 3*f, 5 = 5*f. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 3 + 3)*(-25 - 5 + 57) + a - 13 + 13 - 4 + 2 + 5 + 2*a.\nAnswer: 57*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a. Suppose 5 = -2*o + 1. Let n(j) = 2*j**2 + 4*j. Let h(x) = o*b(x) + n(x). Let h(t) = 0. Calculate t.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d = 9. Let j be 2 - (-24)\/(-3) - d. Let a = -1 - 1. Does a = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -12*y + 6. Let f(u) = 11*u - 4. Give -4*f(r) - 3*g(r).\nAnswer: -8*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101\/15 + 27\/5. Sort -2, 0.3, h.\nAnswer: -2, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60355 and 752373359?\nAnswer: 12071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 2. Let b = 99 + -102. Let c(m) = 3*m - 6. Let z = 15 - 13. Let h(n) = -4*n. Let y be h(z). Determine b*c(g) + y*d(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176181\/676940 + 18\/15385. Calculate the common denominator of q and 133\/66.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/9*(0 - -9). What is the remainder when c\/14 + (-1160)\/(-70) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 1, a: 1, b: 1, w: 1}. Give prob of picking 1 b, 1 e, and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 9 = 5*o, o = -o + u + 3. Suppose -n - o*n - 24 = 0. Let k(l) = -l**3 - 7*l**2 - 7*l - 5. Give k(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79086 and 2940?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l - 18. Let a be v(4). Let g(o) = 3*o**3 - 11*o**2 + 23*o - 23. Let m(s) = s**3 - 4*s**2 + 8*s - 8. Let c(y) = -6*g(y) + 17*m(y). Give c(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*j + 4*j - 4*l, -2*l = -j - 16 + 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**23\/g*g*g)*g)\/((g*g*g\/(g\/g**(3\/5)*g))\/g))\/((((g*g**19\/g*g)\/g)\/g*g)\/g**0) assuming g is positive.\nAnswer: g**(-213\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 820682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 56 = -6. Suppose -l + z = -4*x, -69 = -3*l - 2*x + x. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 = 38*s - 145 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/3 - 38*o**2\/3 - 58*o - 78 = 0 for o.\nAnswer: -13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 322*b**2 - 31 + 8 + 9 to the form u + q*b**2 + r*b and give q.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3*g + 2781 - 2778 = 0, -4*w + 2*g + 2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1056 + -1055.999997509. Round d to 7 decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2749 + -1409. What is the remainder when n is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c - 13*c + 32. Let y = c - 13. Calculate the highest common divisor of 51 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -11. Let u(c) = -c**2 + 12*c + 14. Calculate the lowest common multiple of u(p) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*t**2 + 130*t**2 - 525*t**2 + 137*t**2 + 134*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*-3*sqrt(153) + 4 + (sqrt(153) - (sqrt(153) + (sqrt(153)*-2 - sqrt(153)) + sqrt(153))) + (sqrt(153) - (0 + -1*sqrt(153))))**2.\nAnswer: -2064*sqrt(17) + 1131604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-1)\/17*-1). Let f(w) = -w**2 - 18*w - 20. Let k be f(-15). Let o = l + k. What is the greatest common factor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 309 + -311. Is y >= -1488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*d - 5. Suppose 3*h + 44 = d*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 5:44 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 18 + 15)*(-126 - b + 290 - 144) + (2*b - b - 3*b)*(4 - 1 - 4).\nAnswer: -51*b + 1060","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260 and 5277770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five quarters of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -191, 1, 3, -283 in decreasing order.\nAnswer: 3, 1, -2, -4, -191, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h + 5*q - 72947 = 21*h, 0 = -3*h + 3*q + 109347. Is 28 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjq when three letters picked without replacement from ojjoqojojqjoqojjj.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2\/(-9))*(-14)\/(-22)*3124\/213?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2576\/(-92)*(-1)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25\/44 + -3\/4. Which is the closest to k? (a) -2 (b) -0.8 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbbvylr. Give prob of sequence nrly.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1321\/8 + -167. Let h = 4095 + -4093. What is the second smallest value in n, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 5:15 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0101117 rounded to 5 decimal places?\nAnswer: 0.01011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/3417859 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2542 + -5?\nAnswer: 2533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/7 - 942*c\/7 + 2844\/7 = 0. Calculate c.\nAnswer: -474, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -8*x**3 - 4*x - 4. Let s be m(-4). Calculate the common denominator of 8\/5 and s\/24 - 1\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 36325.\nAnswer: 42\/36325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 + 446\/(-50) + (-13623)\/(-25). What is the highest common factor of 5232 and v?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7814 - 7938 + 15501)*(-1 + 2*q**2 + 1).\nAnswer: -502*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (3 - 1 - 8) - -2 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35569695 and 3927.\nAnswer: 391266645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zew when three letters picked without replacement from {f: 2, e: 1, u: 1, w: 4, m: 2, z: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 57*k - 59. Suppose -3*c - c = 0. Suppose -2*b + c = -8. Solve 0 = -0*j + k*j + t, b*t = 5*j + 17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726702047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427 at least 1474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/6 - 38193*v**2\/2 - 546813900*v + 11491515000 = 0. What is v?\nAnswer: -57300, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2 - 4. Solve -3*j - c*m - 13 = -m, -m - 4 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i*i*i**0\/i*i))\/i)**(-48)*i**(-2\/11)\/((i\/((i*i**(-1\/5))\/i))\/i) assuming i is positive.\nAnswer: i**(2619\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-26)*x\/(x\/x**(-3\/22)))\/(x*x\/(x*x**(-2\/5)\/x))**13 assuming x is positive.\nAnswer: x**(-6307\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 193502 and 44144.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -30, 8, 1, -72, 595 in descending order.\nAnswer: 595, 8, 1, -3, -30, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*((-4)\/12 + 0). Let m be d\/(7\/(-6) - -1). Suppose -4*v = -3*z + 49, -5*z - m = -3*v - 97. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 6 + n**2 - 9*n**2 + 6 - 8 to b*n**2 + t*n + p and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168\/13 - 193\/26. Which is the second smallest value? (a) -20 (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*o - 688 = -115*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.79 - -1.21. Let l = -0.4 - -3.4. Let w be (-6)\/(-7)*238\/(-102). Which is the third biggest value? (a) z (b) l (c) w (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -22*c - 2. Let k be a(-7). Let y(x) = -x**3 - 6*x**2 + x + 8. Let u be y(-6). Suppose -h - 1 = 0, 0*t - 4*h + k = u*t. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186\/(-2325) + (-384)\/825\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 5 + 26*q + 5 + 5 in the form m + f*q and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -1)\/(21\/(-84)). Let y(s) = -s**3 - 6*s**2 - s - 1. Let i be y(-6). Suppose -i*j - 15 = -8*j. Solve w = -0*x + l*x + 8, -2*x = j*w - 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*k + 525 = 1408 + 1367 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-21))\/((-12)\/(-42)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/1 + 9\/3. Suppose 0*h = u*h - 60. Let f = h - 29. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 2*i**2 - i - 1. Let d = 70 - 72. Let o be n(d). What is the units digit of o*6\/(-4)*(-3486)\/63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 - 19b8012?\nAnswer: -19b8026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105 + 133. Let l = 261 + -123. What is the remainder when l is divided by t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 10:54 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one twentieth of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -21 + 31 + -11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(176))*-4)**2 - (3 + sqrt(99)*-2).\nAnswer: 646*sqrt(11) + 3213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*y + 276 + 60. Let x be (-93)\/(-45) + y\/72. Factor -3\/5*g**3 - x*g**2 + 9\/5*g + 54\/5.\nAnswer: -3*(g - 2)*(g + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7005, -14222, -21439, -28656?\nAnswer: -35873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166294*-21.\nAnswer: 3492174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351474613?\nAnswer: 7, 50210659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1360\/56 + 2\/(-7). Suppose 1158 = -j*p + 30*p. What are the prime factors of p?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1278 and 6390?\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540555403?\nAnswer: 191, 2830133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1233 + 302322212?\nAnswer: 302320313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**19\/(t\/t**(-1\/4))*((t**20\/t)\/t)\/t*t**16 assuming t is positive.\nAnswer: t**(203\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*u - 5, 3*j - 52 = -5*u + 13. Let p be (17\/j - 0) + 4\/(-12). What is the closest to -1\/5 in -0.1, p, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = 25*x + 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/63 and -1\/396.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**5\/4 + 9*s**2\/2 - 8*s + 6. Let l(h) be the first derivative of o(h). What is the first derivative of l(u) wrt u?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.957 and 42.\nAnswer: -796.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/600)\/(48\/30)*15\/(-10).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1468809615.\nAnswer: 3, 5, 7, 13, 1076051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 2. Let u be s(4). Let l(v) = -v + 4. Let z be l(0). Let c be (1 - (1 + -3))*1. Solve -z*q - 4*m + c = -13, u*m = -5*q + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z - 4*r = -4, 2*z = -4*r + 12. Let x be (-3)\/z + 385\/20. Suppose -x = -4*y - 4. What is the nearest to 1\/2 in 2, -1\/3, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 279743 to the power of 1\/2, to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-30))\/((-4)\/8).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + (-2 - -8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/27 + 2\/27. Suppose 2*z + 0 + 4 = 0. Which is the biggest value? (a) 4 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 2*sqrt(637))*-6 - (0 + -1 + sqrt(637) - (-1 + sqrt(637) - sqrt(637))*-4))**2.\nAnswer: 3458*sqrt(13) + 108014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 29 = -43. Let s be (-3 - (k\/4 - -2))*2. Are s and -46 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - i + 5*z = 35, 2*i + 4*z = 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 932.5284ug to kilograms.\nAnswer: 0.0000009325284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-6)\/24*(-24)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161719.\nAnswer: 59, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 + 30*r + 6. Give o(-14).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 124*s - 397. Calculate b(-3).\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2 + -5 - sqrt(2))*5 - ((sqrt(2) + 1)*4)**2*3.\nAnswer: -169 - 91*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 221956\/(-39635)*((-2)\/4)\/(2\/1)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33157 + 3?\nAnswer: 33162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -573 and -165475?\nAnswer: 164902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -147*s**4\/2 + 5*s**3\/3 - 40*s - 152. What is the third derivative of o(d) wrt d?\nAnswer: -1764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*-3*sqrt(187))\/(sqrt(11) + sqrt(77)\/(sqrt(7) - (sqrt(7) - sqrt(112)) - sqrt(7)) + sqrt(11) - 6*sqrt(275)) + 3.\nAnswer: 3 + 81*sqrt(17)\/83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 157, 312, 463, 610, 753, 892, 1027?\n\"Answer: -2*n**2 + 161*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2617*b + 2545*b = -1152 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2462.991896+3\nAnswer: -2459.991896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**3 + z**3 + 3*z**3)*(6*z + 42 + 12*z - 19*z).\nAnswer: 2*z**4 - 84*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1580596 times -61\nAnswer: -9.6416356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 + 1. Let p(q) = q**2 + 1. Suppose 10 = 4*w - 2. Suppose -2*h + w = -h. Let a = -3 + 2. Give a*u(k) + h*p(k).\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 144979519 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -5, -7 in increasing order.\nAnswer: -7, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3366.26 - -3399. Let i = x + -32. Let t = i + -1.37. What is t rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2617.714123 and -38004.\nAnswer: -40621.714123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -616334 (base 7) to base 10\nAnswer: -105473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-36)\/16) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njw when three letters picked without replacement from {n: 3, w: 1, j: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2\/5 - 225242936*g\/5 + 6341797527237512\/5 = 0.\nAnswer: 56310734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.434 (b) -0.231 (c) -2\/5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 - -79. Suppose p - w = 4. Suppose p*o**3 + 5*o**3 + 22*o**2 + 5*o**4 - 17*o**2 = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 + 10 - (0 - -10))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -12*z + 9*z - 2, m = -2*z + 8. Let c be 48\/130 - (-6)\/15. Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -12*b - 1. Let k be j(-1). Suppose -3 = 2*z - k. Suppose 3*c = s, -14 = -z*c - 2. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + -66?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.7 + -3. Let b = 10.8 + -10. Let o = 1.3 - b. Put g, o, 5 in descending order.\nAnswer: 5, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*z - 15*z + 6*z + 10*z**2 + 3*z**4 wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 790321 divided by 8.\nAnswer: 790321\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 k, and 1 i when four letters picked without replacement from {a: 1, g: 2, i: 7, k: 2, l: 3, y: 5}.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25848 divided by -1.\nAnswer: 25848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6879 - 6879. Solve w = 13*k - 13 + 39 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252545, 1010079, 2272597, 4040099, 6312585, 9090055, 12372509?\nAnswer: 16159947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68973 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 * -287.7.\nAnswer: -10644.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-171)\/1539)\/(7\/54)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, m: 2, z: 1, k: 3, b: 5}. Give prob of picking 1 k, 1 l, and 2 m.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8 = 5*k, 2*k + 7*l = 4*l + 5. Differentiate -k + 5*w**4 - 4*w**4 + 0 wrt w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10369 + 22828. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.35003 decades in months?\nAnswer: 1962.0036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3782 + 3784. Suppose 4*r + 3*n - 28 = 0, r = 2*r - n. Solve -6 = i*s - 3*v, -2*s = -s + 2*v - r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -18 - 3*l - 16 + 5 - 7. Calculate n(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10406816 divided by -16.\nAnswer: -650426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*k + 13 = 0, -5*k = 5*d + 46 - 16. Let w be (4*-1)\/d - 2. Let y(i) = i**3 + i**2 - 2*i. Calculate y(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 50553880 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 3*s - 2*s)*(-s**4 - 4*s**4 + 2*s**4) + 3033*s**2 + 7*s**5 + 2*s**5 - 3030*s**2.\nAnswer: 18*s**5 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26194 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 328876.3ml?\nAnswer: 328.8763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from {e: 5, g: 8}?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (14 - 9) + ((-19110)\/(-15))\/(4\/18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*z - 70 = 0, 0 = -2*a - 3*a + 3*z + 90. Let t = 55 + -23. Let q = t + a. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 26, 81, 158, 257?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**8\/5040 + 4*u**5\/15 + u**3\/6 - u**2 + 2*u. Let i(x) be the third derivative of l(x). Let t(o) = -2*o. What is i(t(q))?\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-624)\/26*30\/(-45)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 54354612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/11 + 358380\/121 + -11. What is the highest common factor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*j**4 - 1\/5*j + 0 + 1\/5*j**3 + 1\/5*j**2.\nAnswer: -j*(j - 1)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 + 2 - 2)*(13 + 31 + 0) to m*n + c + v*n**2 and give v.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.132? (a) 5 (b) 0.2 (c) -15\/7 (d) -1\/4 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, p: 3, g: 3}. What is prob of sequence pzpg?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -10. Suppose r*p - 9 = 1. Factor 4*o**p + 23*o + 3*o**3 - o**3 - 23*o.\nAnswer: 2*o**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 72, -3\/2, -5, 0.77, -4\/9?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1517334 (base 8) to base 11.\nAnswer: 276a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 383450, 0, -4 in decreasing order.\nAnswer: 383450, 7, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 13694?\nAnswer: 68470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/14)\/((-3)\/24). Which is the second biggest value? (a) z (b) 0 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d - 57*d = 8. Is 4\/(-26) + 102392\/26 + d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 - 0 - (1 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -84.41, 2, -1\/9 in decreasing order.\nAnswer: 2, -1\/9, -84.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446788227.\nAnswer: 3, 67, 1009, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(612) + sqrt(612) + 0 + 2 - (-3*(0 + sqrt(612)) + 3*sqrt(612)*1))**2*4.\nAnswer: 288*sqrt(17) + 9828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 11660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-165 - -279) + (-9 - 9)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n*n\/n**(-6\/11))\/n)*n**4*(n\/(n*n\/(n\/(n*n\/n**(2\/5)))))\/(n**(-8)\/n))**(8\/5) assuming n is positive.\nAnswer: n**(4336\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162 + 4*i**2 + 646*i - 5*i**2 - 625*i + 2*i**2.\nAnswer: (i - 6)*(i + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071 a factor of 1349707571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*6\/9*30\/(-90))\/((-18696)\/738).\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -45*i + 226. Let q be f(7). Which is the third smallest value? (a) 2\/3 (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 17355030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -99672 divided by -4153\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4243831?\nAnswer: 29, 61, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32115856 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 66 + -16 + (3 - 27) + 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 - 2*n**2 + 2*n - 1. Let z be o(1). Let a be (-3 - (z + -5)) + -3. Let u = a + 3. Sort u, 4, 1 in descending order.\nAnswer: 4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5519, 21962, 49363, 87716, 137015, 197254, 268427?\nAnswer: 350528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 375 = -2*m + 7*m, 156 = -2*l - m. List the prime factors of (-2)\/(-11) + (-1603)\/l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -1.422.\nAnswer: 15.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**24*k)**(8\/9)\/(k**(-2\/43)\/(k*k**(1\/4))) assuming k is positive.\nAnswer: k**(36407\/1548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.48, 3\/5, 8.5422.\nAnswer: 0.48, 3\/5, 8.5422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.5 + 6.463. Let h = i + 0.03699416. Round h to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2276121*f**3*o**2 - 58*f**3 - 230*f**2 + f*o wrt o.\nAnswer: 4552242*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (((sqrt(448) + -4 - sqrt(448)) + sqrt(448))*-1 - (1 + sqrt(35)\/sqrt(405))))**2.\nAnswer: -146*sqrt(7)\/3 + 38032\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*u + 3*c = 142*u - 13, 10 = 5*u - c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226800 is divided by 437?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 14. Sort j, 6, -5 in descending order.\nAnswer: 6, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-6)*(s**(-1))**(3\/46))\/(s\/(s\/(s*s*(s*((s*s**(-6)*s)\/s*s)\/s)\/s))*s**(2\/5))**(-4\/7) assuming s is positive.\nAnswer: s**(-2497\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h = -1. Let f = h + 19. What is the least common multiple of 10\/(-35) + 86\/7 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44018 is divided by 138?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 30*q**2. Let b(d) = 4*d**2 - 6*d + 3. Let i(f) = -18*f**2 + 16*f - 8. Let g(r) = -8*b(r) - 3*i(r). Calculate g(m(a)).\nAnswer: 19800*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2703 and 54621.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1)**(-11) assuming p is positive.\nAnswer: p**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 7*y**2 + y + 8. List the prime factors of d(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from plqyfnylf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1159*n = 1765*n - 2648*n + 6126 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/57915 and -83\/210.\nAnswer: 810810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 15*h = 6, 3994 = 2*n + 2*h + 3990 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.11267 (b) -2\/11 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 343 divided by 31\nAnswer: 343\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (470 + 1)*1\/3?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324 (base 5) to base 2.\nAnswer: 1011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-159 + 249 - 185)*(-2 - 4 + 5)*((-3 - 1 + 5)*(0*i - i + 3*i) + i + 2*i - 4*i + 2*i - i + i).\nAnswer: 285*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5065955 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.008 + 120.008. Let j = -119 + d. Sort -0.4, j, 4\/11, -1\/2 in increasing order.\nAnswer: -1\/2, -0.4, 4\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*l + 46 = 38 - 545. Solve -4*d - 4 = -4*v, -l*d + 9*d = 5*v - 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*z + 179*z = 1830 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*o. Suppose o*k = k - 1. Is 9\/(4 - k) - 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -547, -4225, -14205, -33637, -65671, -113457?\n\"Answer: -525*s**3 - s**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1751627731 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14351676 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxl when three letters picked without replacement from zbxlwklkz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 5:58 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -416882*y**5 + 1017*y**4 - 152702253*y.\nAnswer: -8337640*y**3 + 12204*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Let f = o - -0.2. Let w = -91\/265 + -3\/53. Which is the nearest to w? (a) 1 (b) 3\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(2 + (1 - 5)). Let v(w) = w**3 + 3*w**2 - w. Let m be v(i). Let r = m + 2. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19719 and 405.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122825523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443973 = 96*g + 439941 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 423496*k*w**2 - 285039*w**2 wrt k?\nAnswer: 423496*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.05.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4121571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + (sqrt(320) + -1)*1)**2.\nAnswer: -112*sqrt(5) + 369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 10*n - 2*v - 1084, -5*n + 2*v = -2695. Suppose -263 = -10*q + n. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 - 6*j**2 + 5*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-86)\/4)\/(-1*(-2)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 429*o**2 - 448*o - 1353. Does 6 divide p(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295\/40 + (5 + 1 + 1)*-1.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5 + 177. Let n = -82 + j. Solve -2*g + 4*g = n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4042 = -4*j, -3*r - 3*j + 2433 = 2*j. Suppose l + 0*l = -5*d + r, -d + 2446 = 3*l. Is l a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -142, -164, -204, -268, -362, -492?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r - 10. Suppose -r*o + n = -4*n - 10, -o - 5*n - 28 = 0. Is (-108 + -9)\/(o\/2) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14123, -28246, -42369, -56492, -70615, -84738?\nAnswer: -98861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2738 a factor of 1182620587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 0 (c) 98408 (d) -2\/7 (e) 0.4 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eiieei.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5810 < 5810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 - -21. Let q = -28.983 - p. Let f = 0.427 - q. What is f rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 59. Is m smaller than 5\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -237 + 236.94. What is the nearest to -1\/4 in -3, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from bbbbebbbebbbbbbe?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*h + 14 = 0, -r + 3*r = -4*h + 20. Solve g + p + 7 = 0, -5*g + r - 1 = -4*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/224 and 1\/231.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (3 - (5 - 3)) + 9 + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4543874 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12728, 51004, 114824, 204188, 319096, 459548, 625544?\n\"Answer: 12772*b**2 - 40*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2339122315 less than -0.04?\nAnswer: -2339122315.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3) - (-13)\/33. Let k = -140 - -139.29. Let d = -0.91 - k. What is the biggest value in -4, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c**2 - 1. Let d be z(-1). Let k be ((-18)\/(-555))\/((-1)\/d). Let s = -449\/814 + k. What is the common denominator of 59\/12 and s?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 19. Determine i(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**4\/19 + 6*d**3\/19 - 282*d**2\/19 - 286*d\/19 = 0.\nAnswer: -13, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**7\/15120 - v**6\/4320 + v**4\/6 + 13*v**2. Let n(l) be the second derivative of z(l). Determine d, given that n(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {a: 1, z: 1, m: 3, c: 3, e: 2, v: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3762 - 1897. What is p rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19936140 and 9555?\nAnswer: 259169820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l = 3*s - 20*l - 6, -3*l = -2*s + 4. Suppose -3*f + 4*f = -4. Let z = -3 - f. Solve -5 = -s*y - z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/134, 0, -2\/7, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 46 and 63 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -485.589131 to two dps.\nAnswer: -485.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 - 5)*(-3*k**2 - k**2 + 2*k**2).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**2 + 498*c + 202. Let u(v) = 11*v**2 + 504*v + 201. Let p(t) = 5*d(t) - 4*u(t). Differentiate p(o) with respect to o.\nAnswer: 2*o + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:06 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 0)*((2*v - 4*v - v)*(4*v - v - 2*v) + 6*v**2 - 4*v**2 + 2*v**2) to the form z + c*v**2 + s*v and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 853888193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -2*l**3\/3 - 62. Let k(p) be the second derivative of -4\/3*p**3 + 0 - 2*p + 0*p**2. What is k(b(o))?\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-1\/2)\/g))**(10\/9)\/(g**0)**(4\/9)*((g**(-1))**(-4\/21))**13 assuming g is positive.\nAnswer: g**(29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27296936.\nAnswer: 2, 3412117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (105\/(-14) + 5)*-10. Let a be (690\/w)\/(-3) + 8. Suppose 0*d = d. Is d != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - j - 1. Let u(g) = -9*g**2 - 6*g - 6. Let i(z) = -u(z) + 6*y(z). Let h(d) = -63*d - 2. What is h(i(s))?\nAnswer: -189*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1581 + 1585. Suppose -16 = -6*x + 8. Solve -x*m = -d*f, -5*m - 14 = 4*f + 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-8))\/(1\/(-14)). Calculate the greatest common factor of m and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87b (base 14) to base 10.\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 3*n - 1. Let p be o(2). Suppose -4*k - 7 = 3*b, b - 8 = 4*b + 5*k. Let y = -17 + 20. Put y, b, p in decreasing order.\nAnswer: y, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 5*-5*-2. Suppose -h = 5*q + 4. Let s = q + 45. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, y: 3, n: 6}. Give prob of sequence ynqn.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**3 - 3*t**2 + t - 5. Let u be y(0). Let z be (u - -6*10\/15) + -77199. What is z rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y - 12. Let z be r(-4). Let d be (z - 2)\/(-8 - -4). Let v = 13 + -17. Which is the closest to -1? (a) d (b) v (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187512721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 619 + -619. Suppose y = -k + 3*m + 8, m - 8 = -11*k + 10*k. Solve 0 = 3*r - 5*r + k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1056\/56 - (172 - 154)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -611*o + 624*o - 39 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2197.47um?\nAnswer: 2197470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**2 + 76*n - 8*n**2 + 16*n**2 - 4*n**2 + 2*n**2 + n**2 + (2*n**2 - 3*n**2 + 3*n**2)*(-2 - 4 + 5) - 2 - n**2 + 2.\nAnswer: -3*n**2 + 76*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1208?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113347 or -113343?\nAnswer: -113347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/((-6)\/12). Is m < -8\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48379*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, q: 16}. Give prob of sequence qqbq.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2000 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, c: 7, m: 4, t: 2, e: 4}. Give prob of sequence pmtc.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 117*l + 33. Let t be f(-4). Let h = t + 7376. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o**4 + 909*o + 7309 wrt o?\nAnswer: -8*o**3 + 909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 3*u**2 + 3. Let j be i(-3). Let n(c) = c**3 - 4*c**2 + 4*c - 3. Let f be n(j). Suppose 4*y - 14 - 14 = f. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -56\/1515089 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2287 divide 71693218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*t + 436062 + 110644 + 17110 = 0. Does 56 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -869*a - 1 + 4 - 591*a.\nAnswer: -1460*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3670*u**2 + 7370*u**2 - 3463*u**2 - 2*u as p + t*u**2 + x*u and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -3*n - 65, -5*s - 2*n + 8*n + 798 = 748 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Let u be (-50)\/(-18) + 12\/54*1. Determine k so that -2\/3*k**t - 1\/3*k**5 + 1\/3*k + 0 + 2\/3*k**2 + 0*k**u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-48941070\nAnswer: -2447053.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -21, -31, -41?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585305.\nAnswer: 5, 7, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -0.3, 4\/7, 18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 + 73. Let d = 5 + s. Let a = 0 + 5. What is the closest to 2\/3 in 0.5, d, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 2926?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25 or -7991\/307?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(65) + (sqrt(65) - sqrt(65)*-2) + sqrt(65))*2)\/(2*sqrt(125) - sqrt(125))*-5)**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 21*j**3 - 12*j**2 + 5*j + 10. Let p(m) = 10*m**3 - 6*m**2 + 2*m + 4. Calculate -5*p(f) + 2*v(f).\nAnswer: -8*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -0*o + 6*o. Let w be (o - -14)\/(1\/2). Let q(f) = -3*f + 2. Is q(w) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**3 - 2*j**2 + j**2 - j**4 + 1 + 3*j**4 + j**4 to p*j**3 + f*j + m*j**4 + h*j**2 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/(m\/(m*m**(2\/7)*m*m)))\/m))\/((m**(-4\/3)*m)\/m)*((m**(2\/5)*m)\/m)**(-41)*(((m*m*m**(2\/9))\/m)\/m)**(-4\/11)*m**(-2\/21)\/m**8 assuming m is positive.\nAnswer: m**(-84991\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -120*k**3 + 5*k**2 - 6*k + 41. Let d(j) = -119*j**3 + 4*j**2 - 5*j + 40. Let o(t) = -4*c(t) + 5*d(t). Find the second derivative of o(l) wrt l.\nAnswer: -690*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9263.448 tonnes?\nAnswer: 9263448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*w + 18 + 0 = 0, -3 = a - w. Let y be 2 - (-362)\/(-203) - 58\/203. Is a greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23485?\nAnswer: 5, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143\/5 + 29. Let h(l) = -6 + l + 6 + 5. Let z be h(-3). What is the closest to o in 2\/3, 5, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 + -2 + 6 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(45) - (sqrt(6480) - (sqrt(6480) + -2*sqrt(6480))))\/((sqrt(45)\/sqrt(5) + sqrt(9))*6) + -4*sqrt(20)\/(sqrt(256)*3 - sqrt(256)).\nAnswer: -13*sqrt(5)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**5\/60 - a**2. Let c = 11 + -7. Let t(x) = c*x**2 + x**2 - 3*x**2. Give t(n(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6887.272 take away -2268?\nAnswer: -4619.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*h + 146. Suppose -7 = -4*w + 3*c - 3, 3*c = -3*w + h. Suppose -j + 90 = w*j. What is the least common multiple of j and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-56)\/98*((-16)\/4)\/4. Which is the closest to -3? (a) g (b) 2 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 123, 127, 131, 135, 139?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1275)\/(-135) + (40\/18)\/(-5) - 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 11:38 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_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: What is 7 + -2 - 9 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, n: 10, w: 2}. What is prob of picking 1 o and 1 w?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/900 and -17\/46398630.\nAnswer: 1391958900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - w = -2*w + 92, -k - w = -32. Let d be 4\/50*95\/k. Let m = d + 2\/25. Which is the smallest value? (a) -0.4 (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352988921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -179\/15 or -13?\nAnswer: -179\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -11.6?\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**4\/2 - 10*v**3 - 69*v**2\/2 = 0.\nAnswer: -3, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/7)\/v)\/(v*v*v\/((v*v**(-14))\/v)))**(-38)\/(v**(-12)\/(v\/(v\/v**(-1\/6)*v)))**(-50) assuming v is positive.\nAnswer: v**(3217\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6*o - 11 = -2*o, 1 = o. Let h = 3 - x. Is 4 a factor of (-9 + h + 0)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 1488 = -5*r + 1728 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 13*i**2 - 12*i - 11. Give y(10).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 208\/581 + -6\/83. Put 2\/5, -4\/7, s in descending order.\nAnswer: 2\/5, s, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d + 5. Let i(o) = 1 - 2071*o**2 - 2*o + o + 2072*o**2. Let s(r) = 4*i(r) - w(r). Calculate s(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4489421 - -2\nAnswer: 4489423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 v when four letters picked without replacement from {v: 3, e: 2, r: 4, x: 2, a: 1}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1209)\/(-217) - 12\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4*b + 16, -5*q = 3*b - 2 - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n**2 + 13*n + 9. Let j(s) = s**2 - s + 1. Let t(h) = -2*j(h) - k(h). Let c(x) = -x**2 + 2*x + 2. Suppose 0 = -7*w - w - 16. Give w*t(f) - 11*c(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 5*u - 6 - 1, 0 = -t - 2*u - 3. Suppose 5*x + 4*l + 32 = 113, 2 = -2*l. Suppose 16 + 35 = x*a. Sort -2, t, a, -5 in increasing order.\nAnswer: -5, -2, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u**3\/7 - 948*u**2\/7 - 1356*u\/7 + 200 = 0.\nAnswer: -2, 7\/10, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 2*g**2 - 5*g)*(g - g + 2*g**2) - 76 - 28*g**4 + 76 + g**2 - g**2 - g**4.\nAnswer: -33*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/(g\/(g**(-1\/4)*g))))**(-36)*((g\/(g*g**(-5\/3)*g*g))\/g)\/g**2 assuming g is positive.\nAnswer: g**(-145\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 879281 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15))**(-16) assuming c is positive.\nAnswer: c**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154537073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5141 rounded to the nearest one hundred?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**2 - 11*s - 3. Let x be w(8). Let y(d) = 29*d + 90. Let u be y(9). Suppose x + u = 4*a. What are the prime factors of a?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 7*i - 3*i - 17*i.\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 13 = 5*j, x - 27 = -232*j + 217*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 839435477?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2121112 (base 3) to base 15.\nAnswer: -86e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 2*i - 3. Suppose f - 70 = -6*o + o, -o + f = -14. What is the smallest common multiple of k(-5) and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**15*b**(2\/7))**26 assuming b is positive.\nAnswer: b**(2964\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -20*k**2 + 16. Let o(x) = -x**2 + 1. Let p(g) = -5*j(g) + 80*o(g). Let i(q) be the second derivative of 31*q + 0*q**2 + 1\/3*q**3 + 1. Give p(i(y)).\nAnswer: 80*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 11:49 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 310\/40 - 7\/4. Solve -5*i = -v*i - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71516 (base 16) to base 10\nAnswer: 464150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4056847ml in litres?\nAnswer: 0.0004056847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*n - 73, -5*s + n + 60 = -43. Let m be (s\/49)\/(2\/14). Let y(i) = -7*i - i**m + 10*i + 9 - 4*i. Give y(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -78. Suppose 0 = 6*l - 3*l - 18. What is the greatest common divisor of l and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0341698 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 997.822847 rounded to one dp?\nAnswer: 997.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3551, -6888, -10013, -12926, -15627, -18116, -20393?\n\"Answer: 106*t**2 - 3655*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -49*r**2. Let i(w) = -1576355*w**2. Give j(i(h)).\nAnswer: -121759859215225*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 564 + -349. What is the common denominator of f\/(-12) + 2\/(-6) and -2 + -1 - 590\/180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/7)\/p*p)\/p)**3*(p**(-6\/11)\/p)\/(p\/(p*p*p**(-6)\/p)))\/((p*p**2)**42\/(p\/p**(-6\/5)*p**8)) assuming p is positive.\nAnswer: p**(-48973\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 9*l + 21. Suppose 0 = -4*i - 2*u + 26, 0 = i - 0*i - 2*u - 9. Let q be d(i). What is the highest common divisor of 63 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 + 5*g - 5. Let q(s) = -5*s**2 - 6*s + 6. Let y(z) = 5*q(z) + 6*r(z). Let i(w) = 319*w**2 - 154*w**2 - 156*w**2. Determine y(i(d)).\nAnswer: -81*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 7:57 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 385 and 5775?\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11946*l - 18957*l + 4363*l - 670*l.\nAnswer: -27210*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4254cb (base 14) to base 8\nAnswer: 10434373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 39. Which is the fourth biggest value? (a) -0.1 (b) -0.2 (c) -2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 - 2*k**3 - 3*k**2 - 3*k**2 as w*k + o*k**3 + m*k**2 + l and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 14*j - 706 = -3*c, 0 = -2*c + 5*j + 499. Calculate the remainder when c is divided by 36.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -15*l + 4. Let b be z(-6). Let y(r) = r + 13*r**2 - 1 - 22*r**2 + b*r**2. Is y(1) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09 from -2496393.456.\nAnswer: -2496393.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1*8\/((-64)\/12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + 2115?\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.68704 decades to years.\nAnswer: 206.8704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(224)*1)\/(sqrt(18)\/sqrt(225)))**2.\nAnswer: 160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*y - 5*y + 1129, -3*y = -5*m + 2776. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**4\/7 + 1684*b**3\/7 + 1001470*b**2\/7 + 117596400*b\/7 = 0.\nAnswer: -215, 0, 1272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 30*n**2 + 63*n + 84. Let z(v) = -5*v**3 - 150*v**2 + 316*v + 419. Let j(h) = 11*d(h) - 2*z(h). What is the tens digit of j(-32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 1, w: 1}. Give prob of sequence we.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 292*t**3 + 7*t**2 + 43*t - 109. What is the thousands digit of q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/128 and -49\/9088.\nAnswer: 9088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*r = 129*r - 79170. What is the greatest common divisor of r and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c + 2*c)*(3 - 2 - 3) + (6 - 2 - 2)*(2*c + 0*c - 6*c) + 7*c + 8*c + 4*c + 3*c + 0*c - 5*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17747 - 17747. Solve -20*j - 100 - 60 = l for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*2\/(-36) - 20\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 119349346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11480 and 1680?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1980)*4*4*-1)\/((sqrt(5) + sqrt(20))*2 + sqrt(5) + (sqrt(55) - sqrt(55)*-5)\/sqrt(11)))**2.\nAnswer: 101376\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*u + 13*u + 4*u)*(3*u + u - 2*u) to the form p + c*u**2 + k*u and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 580\/100 + (1 - 4). Determine p, given that -f*p**2 + 2\/5*p**3 - 18\/5 + 6*p = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(20) - sqrt(5)) - sqrt(180)*2) + -3*(sqrt(320)*-1 + -4 + sqrt(320)).\nAnswer: -11*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + (sqrt(288) - (4 + sqrt(288) + sqrt(288) + 1 + sqrt(288)) - ((sqrt(288) + -2*sqrt(288) - sqrt(288)) + 0))))**2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, z: 6, f: 2, v: 1, q: 2}. Give prob of sequence fc.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-60)*-2)\/((-12)\/(-30)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -148.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3668 = 4*m, 3*x - x - 5*m = 1474. Suppose -252 = -2*k + x. Suppose q + 2*j - 16 - 76 = 0, 5*q - k = -2*j. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568 a factor of 166059912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 0.07, -77?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90) + 2*sqrt(90) + sqrt(90))*1)\/sqrt(5))\/(sqrt(36)*-6 + (sqrt(81)*-2 + sqrt(81))\/sqrt(9)).\nAnswer: -4*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*q**2 - q**2 + 4*q**2)*(2*q + q - 5*q) - 2*q**3 + 4*q**3 - q**3)*(-62 + 21 - 19).\nAnswer: -180*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/6))\/(c\/(c\/c**(-8\/5)))*(c**(-3)*c)\/c*(c\/c**(-2\/7))\/c assuming c is positive.\nAnswer: c**(11\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 18*n**2 - n + 4. Let t be p(2). Let j = 593\/8 - t. Calculate the common denominator of 87\/8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*y + 132*y + 48*y.\nAnswer: 249*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**3 + 204*g**2 + 585*g - 13. What is r(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p + 33. Let m be q(7). Let x = 1 + 1. Solve 5*j = 3*c - m*c + 19, j + c = x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1054, 1057, 1062, 1069, 1078, 1089?\n\"Answer: y**2 + 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 248.92485 months?\nAnswer: 0.0207437375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*(-20)\/2. Let k(a) = -26*a**2 - 51*a + 2. Let i be k(-2). Let q = 2 + 1. Solve -5 = -o + v*s + 23, -2*o + q*s + 21 = i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6774.047t in micrograms?\nAnswer: 6774047000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 9*q + 5. What is the remainder when 35 is divided by c(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1284*f + 37634. Give l(-28).\nAnswer: 1682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -64 - (-18 + 2 + (-181 - -173))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492393255 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 - o + 2. Let l be a(1). Solve -m - l*m + k - 15 = 0, -4*m - k = 21 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.49 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*a + 374918 + 386037 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 + k**2 + 0*k**2 + (3 - 3 - 2*k)*(-k + 2*k + 0*k) + (3*k - 13*k - 9*k)*(-3 + 3*k + 3) to d*k + g + s*k**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 7:45 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -13*h + 55, -k + 263*h + 7 = 268*h for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14432337 to the power of 1\/2, to the nearest integer?\nAnswer: 3799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 3:38 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/13 + 3032*s\/13 - 6056\/13.\nAnswer: -2*(s - 1514)*(s - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + r - r + (-3 + 3 - r)*(3 + 2 - 3) + 4*r + 2*r - 3*r - 2 - 119*r + 116*r - 3.\nAnswer: -r - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -729*h**2. Let k(x) = -78*x - 1. Give k(y(o)).\nAnswer: 56862*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 5, 98, 0.5, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 4082 - 58*r**3 + 8157 - 4073 - 2*r**2 to the form c*r + o*r**3 + n + g*r**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19491613\/260 + 74967. Let i = 1\/130 - p. Suppose 3*n - i*n**2 - 9\/4 = 0. What is n?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*25\/1650*-11.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/3 (b) -0.6 (c) -1\/3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8347 + 24852. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**2\/2 + x + 4. Let c(o) = 2*o - 4. Determine -3*c(h) - 8*l(h).\nAnswer: 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -244*v**2. Let w(l) = -2*l**2. Give w(i(x)).\nAnswer: -119072*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 789.1014 centuries in months?\nAnswer: 946921.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3471, -6062, -10375, -16410, -24167, -33646?\nAnswer: -44847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591930.1um in millimeters?\nAnswer: 591.9301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6823536 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**3 - 3*x - 2*x**3 - 4*x**3 as k*x**2 + u*x + a*x**3 + f and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3052*n**4 + n**2 + 7*n - 162277 wrt n.\nAnswer: 12208*n**3 + 2*n + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -11 - v - 3\/2*v**2. What is the units digit of a(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -1, 2\/11, -155, 0.4.\nAnswer: -155, -51, -1, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -211039, 3, 4 in increasing order.\nAnswer: -211039, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13992)\/(-360) - (17\/(-204))\/(20\/32).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2840296 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -95870439 divided by -3\nAnswer: 31956813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -5*b - 30. Solve b = h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 235*i**3 + 2 - 9*i**4 + 233*i**3 - 469*i**3 + 12*i**4 + i**2 - i as v*i**2 + r*i**3 + c + y*i**4 + j*i and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4051 is divided by 1350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**5\/(q\/q**1*q\/(q*q*q**(2\/9))) assuming q is positive.\nAnswer: q**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1209*m - 8154 = -2109 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1169328969 and -0.04448.\nAnswer: 1169328968.95552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1202001000 - -41?\nAnswer: 1202001041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45466, 45465, 45464, 45463?\n\"Answer: -t + 45467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 6 - 6. Is 4 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**7\/70 + i**5\/15 + 49*i**3\/6 - 2*i**2 + 31. Find the first derivative of f(a) wrt a.\nAnswer: -12*a**3 + 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4*q - 8, 5*n + 3*q - 11 = 3*n. Solve -n*p + a = -2, 0 = -a + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**2*k - 242660445*g**2 - 35151885*g*k + 2*k wrt k.\nAnswer: -3*g**2 - 35151885*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 - 12*o**2 - 12*o - 1. Let a be g(-1). Solve -5*s - a - 14 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(500)*5)**2.\nAnswer: 12500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 1222*a - 1222*a.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -916 or -988?\nAnswer: -916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/3631 - -243725\/406672. What is the common denominator of -97\/22 and a?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*d + 34*d + 146*d = 331. Suppose 22 = -5*r - 3. Sort 9, -3, r, d in ascending order.\nAnswer: r, -3, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-228)\/(-570))\/((-102)\/30 + 1\/(-5)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1029 + -4?\nAnswer: -102d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1611282.26021 less than -4?\nAnswer: 1611278.26021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 13*w + 191 = 31*w - 35*w + 538, -5*p = 2*w + 71 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1179\/5 - 235. Sort -5, 0.21, u in descending order.\nAnswer: u, 0.21, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 + 6*m - 5. Let w(d) = 3*d + 1. Let z(g) = 5*g + 1. Let u(x) = 3*w(x) - 2*z(x). Give -i(l) - 6*u(l).\nAnswer: 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 346 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -58 + 11 - (-2 + 6 - 17).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - g - 17. Let k be w(0). Let l = -14 - k. Suppose 2*r + l = -r. Put r, 4, -5 in descending order.\nAnswer: 4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (15 - 4) - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*p = 4*l - 80488, -4*l + p = -80503. Let y = -151096 + l. Let a = y - -260971. Round a to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5371830 and 23035?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 674631413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 116683*p. Let f(r) = -15*r. Determine a(f(h)).\nAnswer: -1750245*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6bc0c (base 14) to base 15.\nAnswer: -52e14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270 and 240?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 12:12 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.5752 rounded to one decimal place?\nAnswer: 254.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19\/5? (a) -6\/11 (b) 2 (c) 1210\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6 = -5*c. Let p be ((-1)\/12)\/(c\/(-9)). Determine a, given that 0 + p*a**3 + 0*a**2 - 1\/4*a = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 67447.\nAnswer: 337235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2757*w + 5346 + 3766 = 2825*w. Solve w = 29*m - 69 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61407*c**2*q + 4998*c*q - 9*q wrt c.\nAnswer: -122814*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**6\/120 + c**5\/60 + c**2 + 2*c. Let h(w) be the first derivative of y(w). Find the third derivative of h(d) wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-18))\/(11*(-6)\/(-132))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 8. Let z be a(-8). Solve z = 4*i - 20 + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - -9) + -15 + (-13)\/(-1). Solve 11 = -31*f + 29*f - 5*s, -3*f + 5*s + 21 = g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7009, 14352, 21697, 29044, 36393?\n\"Answer: j**2 + 7340*j - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66.4085 + -0.0085. Let c = 74 - t. Let n = 8 - c. Put n, -4\/3, 0.1 in increasing order.\nAnswer: -4\/3, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*n + n = 10, 5*n + 8 = -4*x. Let u be 10*((-9)\/6 - x). Suppose -r = -5*r, r = -u*b + 120. Calculate the remainder when 93 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 291, -10, 50\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/24721?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11836 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -3 (c) -4 (d) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -382, -7\/4, 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2. Let z = 45 - 36. Suppose -z*q = -14*q + 890. Let o(p) = 178 - q - 10*p**2. Determine o(r(s)).\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -13*l - 81. Let r be z(-6). Let m be (-3)\/(-15)*(16\/r + 2). Which is the second smallest value? (a) m (b) 1.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -433 + -32110?\nAnswer: -32543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8917 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*sqrt(7260))\/(sqrt(12) - (sqrt(12) - (sqrt(12) - sqrt(192)))*4))**2 + 2.\nAnswer: 436\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*v + 3*v**2 - 2*v**4 + 1 + 57*v + (4*v - 4*v + v)*(-3*v**3 + 0*v**3 + v**3) + 3*v**4 - 3*v**4 - 2*v**4.\nAnswer: -6*v**4 + 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-132)\/225 - 10\/(-625)*-5. What is the fourth smallest value in q, 0.2, -5, 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/82, 0, -0.1, 3\/8, -3\/7 in decreasing order.\nAnswer: 3\/8, 0, -3\/82, -0.1, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 3*o + 1. Let a be y(4). Let j(q) = -q**2 - 7*q - 7. Let m be j(-5). Let p be (m - -7)\/(2\/5). Solve -p = -0*r + a*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**22*a*a*a*a*a*a)\/a**(2\/25))\/(a*a\/(a**(-13)\/a))**(-9) assuming a is positive.\nAnswer: a**(3248\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9216 and 129224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517.8931 weeks to hours.\nAnswer: 87006.0408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -145?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.015 in 0.2, -2, -0.2, -4\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + r - 201874, p - 11*r - 67293 = -13*r. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 18. Give a(-14).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = 27*a - 10775. List the prime factors of a.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7061 = 142*f + 165*f for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30718415 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 5*f - 3. Suppose -4*p + 15 = p, -2*p + 16 = 5*z. Suppose 3*b - z = 10. What is the units digit of q(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -4 + 3\/14*w**2 - 5\/21*w**3 + 9\/7*w + 1\/28*w**4. Factor y(s).\nAnswer: (s - 3)**2*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**2 + 11*n - 3. Let v(g) = 2*g**2 - 5*g + 1. Let z(p) = p - 1. Let t be z(-3). Let i(q) = t*d(q) - 9*v(q). Determine i(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -629 greater than -634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/15)\/(10\/((-200)\/12))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3444201 is divided by 8181?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3036, -3040, -3046, -3054, -3064?\nAnswer: -3076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -v, 0 = -v + 6*v. Let x = h + 3. Suppose -3*m**2 + x*m + 0*m**3 + 2*m**3 - m**3 - 1 = 0. What is m?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1424, -11303, -38080, -90203, -176120, -304279?\n\"Answer: -1408*s**3 - s**2 - 20*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.3 (b) -2 (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1737*u**2 + 1189 wrt u?\nAnswer: -3474*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 greater than -0.058819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2915 + -78737\/27. Find the common denominator of x and 16\/39.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:42 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqq when three letters picked without replacement from ggggurguruqq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -5641562746?\nAnswer: 5641562751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7296 and 59736?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7996021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -841\/953 smaller than -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49.2 + 49. Let w = u - 1.8. Which is the second biggest value? (a) 1 (b) w (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/(4428\/(-3312))*3\/(-2).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-296)\/(-21) + 218\/(-2289)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14574887, 14574854, 14574821, 14574788, 14574755, 14574722?\n\"Answer: -33*c + 14574920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 - (4 - 11))*(0 + 0). Let u(r) = 9*r + 179. Is 27 a factor of u(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 15*t**2 - 16*t + 5. Let k be u(-16). Solve k*d - 4*l + 32 = 0, -5*l + 0*l = 2*d - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 23, -13, 0.2 in increasing order.\nAnswer: -13, -2\/15, 0.2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -586695815.999463 - -586694833. Let f = b + 983. What is f rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3260252 is divided by 1086745.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -521 + 387.5. Let p = -133 - x. What is the closest to -9 in -5, p, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3283702 and 20257?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25599 and 552000.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -774 + 2667. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - i - 3*i)*(-i + 16 + 15 - 34).\nAnswer: -i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -22 - (-12 + 3 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 50*c + 124. Is u(-52) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -169435*l. Let b(z) = 3*z**2. Give q(b(o)).\nAnswer: -508305*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - d**2 + d - 1. Let p be q(0). Let z = -7.6 - -8. Which is greater: z or p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*b - 4*q = -124*b + 864, b = -4*q + 408. What is the lowest common multiple of 40 and b?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -1.4, -5, -1.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52174429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 5 = -5*b. Let h be 6 + b - (1 - -3). Let y = 23763 + -23763. Put h, 1, 2, y in descending order.\nAnswer: 2, 1, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146971305 and 1287?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 7 - (-21 + 3 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1171175.1946 + 1076934.986. Let c = 94232 + p. Let h = c + 8.2. Round h to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**2 - 7*a. Let m(s) = s + 243880. Determine m(j(f)).\nAnswer: 6*f**2 - 7*f + 243880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-7)\/(b\/b**(-1\/22)*b)*b**(1\/4)*b**(-12))**(-6\/7))**(-2\/23) assuming b is positive.\nAnswer: b**(-2745\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 160.48 + -165.48. Let g = -8 + 11. What is the second smallest value in g, 0.4, l, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 - -54. Let y = -9 + 14. What is the biggest value in 0.5, y, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5460 and 127581909.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*i + 36*i + i**2 + 3 to the form b + w*i**2 + m*i and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0*o + o**2 - 5\/6*o**3 + 1\/120*o**6 - 1\/12*o**4 + 1\/12*o**5 + 0. Suppose -3*j + 0*j - 15 = 0. Determine t(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -462, -731, -1030, -1365, -1742, -2167?\nAnswer: -2646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/48)\/(3\/9). Let u = b + 7\/12. Factor -u*t**2 + 0*t + 0 - 1\/3*t**3.\nAnswer: -t**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-63)*2\/(-1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 2869*d**4\/4 + d**3 - 5*d**2 + 75*d + 10751. What is the third derivative of h(f) wrt f?\nAnswer: 17214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 4*a = -5*r - 188, -2*a + 46 = r. Suppose 61 = 2*k - 11. Calculate the highest common divisor of r and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - (59 - 23)) + 57.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -345.62 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/3 - (-20)\/(-6))*1. What is the units digit of (123 + 3)\/(q\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92353 is divided by 2368.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2435, 3090, 4171, 5672, 7587, 9910, 12635, 15756?\nAnswer: 19267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*m**2*z**3 - m**2*z**2 - m**2 + 14*m*z**2 - 2*z + 9 wrt z?\nAnswer: 42*m**2*z - 2*m**2 + 28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120122322231 (base 4) to base 3.\nAnswer: -110001020111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/12 and (-1740)\/50*(-15)\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4105*f + 4113*f + 48 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40362485, 80724969, 121087453, 161449937, 201812421?\n\"Answer: 40362484*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.688 to one decimal place.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -230058788 - 0.6.\nAnswer: -230058788.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15330 and 42486?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 6:44 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 27664715 = -5*t + 4*t, 3*w = 2*t - 20748540. Let x = w + 9716178. Round x to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2043, -4113, -6183, -8253, -10323?\nAnswer: -12393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 3.2. Let l be -3 + 0 - (-3 - (-3 - 0)). Let k be l\/36*-3 - (-14)\/(-24). Put g, -5, k in increasing order.\nAnswer: -5, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -35*m. Let y(k) = -252*k - 31. Let z(t) = 7*p(t) - y(t). Give z(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 3:22 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1054157 = -114*f - 55747 + 9920. What are the prime factors of f?\nAnswer: 5, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 + i**4 - 4*i**4)*(-i + 2*i - 4*i) + 2*i**4 + 5*i**5 + 6*i**4 - 12*i**4.\nAnswer: 11*i**5 - 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 + 50)*((-255)\/(-20) + -4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*c**4\/15 - 3806*c**3\/15 + 10396*c**2\/15 + 3008*c\/5 + 576\/5 = 0. Calculate c.\nAnswer: -18, -4\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398364.\nAnswer: 2, 3, 89, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21558285*w + 0*w**2 + 21558285*w + 0*w**2 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 163, 183, 217, 265?\n\"Answer: 7*n**2 - n + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0.1, 0.2, 115, -5.2, -0.2?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*x + 271 = 0, 0 = m - x + 4*x + 137. Let q = m + 135. Suppose -2*n + 3*n = 8. Is q > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 36*a - 2145. What is m(41)?\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 6*y + 21. Let a(c) be the first derivative of -3*c**4\/4 - 1. Let d(z) = -2*z**3. Let i(v) = y*a(v) + 4*d(v). Let i(t) = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 - 5*i**2 + 4*i - 2. Let d(o) be the second derivative of o**3\/6 + 15*o**2\/2 + o. Let z be d(-6). Is a(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 7 - 34) + 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**2 - 1338*r = 0.\nAnswer: -669, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157585*x - s + 212 = -157601*x, 3*x + 5*s + 19 = 0 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 17*y**2 - 17*y + 22. Let g be r(-18). Let h be (-100)\/4*g\/(-2)*-1. Let a = h + 83. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**4 - 13*i**3 + 29*i**2 - 35*i + 12. Let o(x) = -2*x**4 + 25*x**3 - 59*x**2 + 71*x - 25. Let s(h) = -10*k(h) - 6*o(h). Factor s(q).\nAnswer: 2*(q - 5)*(q - 3)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139743844 to the power of 1\/3, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 49, 138, 227, 268, 213?\n\"Answer: -8*q**3 + 48*q**2 + q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c - 3. Let b(v) = -24*v - 14. Let p(g) = 3*b(g) - 14*o(g). Let u(y) be the third derivative of y**4\/24 - y**2. What is u(p(t))?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 1. Let p(u) = 3*u - 16. Determine p(l) - 2*w(l).\nAnswer: l - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.6 - -1.1. Let f = -3 - j. Let w = 647\/5 + -130. What is the nearest to -1\/3 in f, -3, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 179 - 99. Suppose 0 = -x - 4, -x = -g + 5*g - n. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 986 and 348.\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhde. What is prob of sequence hd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*v. Let r(k) = k**3 + 5*k**2 - 1. Let h be r(-5). Let t = h - v. Sort 3, t, 2 in decreasing order.\nAnswer: 3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -29b?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 12. Let c be s(8). Suppose 0 = -0*b - c*b + 316. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 394*h**2 + 3 - 1 + 503*h**2.\nAnswer: 897*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/7, -0.1 in descending order.\nAnswer: 5, -0.1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + 1. Let n(o) = -o**3 + o**2 + o + 3. Let c be n(0). Suppose -3*l + 25 = 2*r + 3*r, c*l = 0. What is the tens digit of x(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/(-24))\/((-2)\/28). Let b(x) = 2*x - 40. Let n be b(h). What is the first derivative of -55*r**2 + 111*r**n - 61*r**2 - 23 wrt r?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - j - 4, 0 = -4*f - 2*j - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(44) + sqrt(704)*-2)\/sqrt(4) + -4 + 5 + 3)**2.\nAnswer: -168*sqrt(11) + 1665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -15*v + 201. Let l be k(13). Solve -19*c = l*c + 125 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18478009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m = 224. Let l = -123 - -87. Let t = m + l. Calculate the greatest common divisor of 30 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*b - 16. Suppose -b*v = -4*v - i + 11, 27 = 4*v + 3*i. Solve v*z - 12 = -0*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120313 (base 7) to base 11.\nAnswer: 15398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22674 divided by 6\nAnswer: 3779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/33 (b) 137 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 9*u - 6. Let p be f(6). Let v = -3527 + 3587. Calculate the greatest common divisor of v and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/372960 and -17\/2205.\nAnswer: 2610720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.88065 months to millennia.\nAnswer: 0.0053233875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*l**2 + 20864224*l - 283019369?\nAnswer: 8*l + 20864224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809287775?\nAnswer: 5, 23, 29, 48533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n + 4. Let l be f(-3). Let m(o) = -o**2 - 8*o**2 - 5*o - o**3 - 12 - 5*o. What is the units digit of m(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (4 - 6) - -3) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/12 and 69\/60028?\nAnswer: 180084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 96 = -2*i. What is the greatest common divisor of i and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1560786 is divided by 151.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791501899.\nAnswer: 191, 607, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from -0.18692.\nAnswer: -9.18692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-9)*(-12)\/(-1). Suppose -5*h - 5*p = -5, 9 = h + y*p - 1. Suppose 0 = 3*u + 3*m - 21, -4*m + 7 = 3*u - 18. Sort u, h, 2.\nAnswer: h, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 9*z - 10. Let w be q(-10). Suppose -2*l + 5*k = -w + 4, k = 2. Which is the nearest to -1\/4? (a) 1\/3 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1. Let i = 3 + -2. Let s(l) = -l - 6. Let v(y) = i*s(y) - 6*m(y). Let p(n) = -3*n**2 + 4*n**2 - 1 + 1. Give v(p(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 330.3277 microseconds?\nAnswer: 0.0003303277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - f. Let i(x) = 217 - 116 + 5*x - 9*x**3 - 101. Let s(t) = 2*t**3 + 2*t**2 + 2*t + 1. Let v be s(-1). Give v*i(z) - 5*g(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 4*n - 6. What is the tens digit of x(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*p + 2*z, 53 + 24 = -24*p + z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -3. Suppose -3*a = w - 1, 7*a - 4*a = 3*w + 21. Put 4, w, x in ascending order.\nAnswer: w, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 + 2*x + 187. What is v(0)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/((-8)\/(-3984)) - 9 is divided by (-2 + (-26)\/(-3))*225\/125.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7281198 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 431540400 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -10.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q - 6 + 0 + 1 - 1. Let j be c(5). Solve -5*v + 5*b - 45 = -0*v, 4*v - b = -j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-296)\/40)\/(6\/(-15)) and -18\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(30\/4)\/5. Let g = 2 + j. What is the units digit of ((-40)\/(-12))\/(g\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 12. Which is the third smallest value? (a) -7 (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60861.5 rounded to the nearest 1000?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from {v: 5, z: 8, f: 5}.\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77671*u + 1 - 1 + 77660*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423990 divided by 4711.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 3*u**3 + 2*u**3 + 6*u - 1 + 5*u**2. Let i(s) = s**3 + 5*s**2 + s - 3. Let l be i(-5). Let z be (-42)\/l - (-2)\/(-8). What is x(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y**2 + 8*y**2 - 23*y**2 - y**2 + 6 - 17 in the form l + i*y + r*y**2 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144669 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -32. Suppose -3*u = -s, -4*z + 12 + 9 = u. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720283755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**3)\/k)**(1\/2)\/((k*k**5*k)\/((k*k\/(k*k**9))\/k)))**4 assuming k is positive.\nAnswer: k**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*z + 0 - 5\/7*z**2 - 3\/7*z**3 + 1\/7*z**5 + 1\/7*z**4.\nAnswer: z*(z - 2)*(z + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + h + 0*h + (h + 4*h - 4*h)*(-3 - 3 + 2))*(-5 + 2 + 2) to k + x*h and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20868681 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1405734676?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001001010 (base 2) to base 5.\nAnswer: 4321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**(-1))\/c))**(-49)*c*c\/(c*c**7)*c*c**(1\/5)\/c*(c**(-5)*c\/c**1*c*c)\/((c\/(c*c**(-1\/5)))\/c)**(4\/27) assuming c is positive.\nAnswer: c**(-14402\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.5 from -1029.\nAnswer: -1030.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 466.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 94.9621um?\nAnswer: 0.0949621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 198 + -193. Suppose 4*z = -0*n + 2*n + 6, -2*z + b*n - 1 = 0. Let s = -0.1 - -0.1. What is the closest to z in -1\/6, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 506, 83, -4\/5?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*g - 159*g - 166*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -14*s + 76. Let y be ((-21970)\/(-3))\/s*(-6)\/(-4). What is the greatest common factor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 11}. What is prob of sequence sss?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -1, 7, -21.\nAnswer: -21, -1, 1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17370*q*u**5 + q*u**2 - 2*q - u**5 - 44584*u wrt u?\nAnswer: -347400*q*u**3 + 2*q - 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2. Let s(f) be the third derivative of 0*f + 0*f**3 + 120*f**2 + 0 - 7\/12*f**4. Give s(v(b)).\nAnswer: -56*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 9 + (1 - 16 - (-17 - -9) - 5)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**2 - 30416283*o + 557750973 wrt o?\nAnswer: 4*o - 30416283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/91 - 121\/546. What is the third biggest value in 3, 2\/9, g, -39?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*(sqrt(65) + sqrt(65) + sqrt(65)*2))\/((sqrt(5) - 5*sqrt(30)\/sqrt(6)) + sqrt(5)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1487, -2, 9 in increasing order.\nAnswer: -1487, -6, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j - j)*(-1106 + 774 + 2293)*(-3 + 6 + 1).\nAnswer: -15688*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152700 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1234630731?\nAnswer: 3, 23, 2251, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 1. Let s be f(6). Suppose 3*d - 2*w = -s, -2*w + 1 = -3. Sort d, 0.3, -4 in descending order.\nAnswer: 0.3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 0 - (2\/(-2) - -553). Let d = -4517\/8 - y. Find the common denominator of 3\/(-8)*(-10)\/(-6) and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(153) + 3)*-2 + sqrt(153) - sqrt(153)) + (sqrt(153) + 2 + sqrt(153)*3 - (sqrt(153) + sqrt(153) + -2 + 2)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1030279767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, -143, -2, 25, 3.\nAnswer: -143, -2, -1, 3, 9, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1434?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9a55809 - 0?\nAnswer: 9a55809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 - 22. What is the remainder when 324 is divided by a?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from kfxkx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*g - 7, g - 2*h + 7 = -5*h. Let u be (-36)\/(-16) - g\/8. Suppose 0 = -2*n + 4*n - 8. Solve n*a + 10 = -u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 - 4*c**2 - 5 - 14 as o*c + k*c**2 + g and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38391 and 17400168?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7586364 and 66176.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -4, -21, -2, -3130, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-6) - 187\/(-34). Let n(r) = r**2 + 2*r - 6. Determine n(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -4*g + 2. Suppose -4*s = -10*f + 14*f - 2480, 0 = 4*f - g. What are the prime factors of s?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0068551552 rounded to six decimal places?\nAnswer: 0.006855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*r = 18, 3*x - r = -6*r - 13. Suppose z = x*v + 20, -z - 5*v = -0*v - 2. What is the smallest common multiple of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/29, 0.93, -1\/6, 0, -0.6 in descending order.\nAnswer: 0.93, 1\/29, 0, -1\/6, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 77*s + 1296. Give l(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + (sqrt(150) - sqrt(150)*3) + sqrt(6) + sqrt(6))\/(sqrt(24)\/(sqrt(72)\/sqrt(6))).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 7 = 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 4*r + 14*r to t*r + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -28. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence momo when four letters picked without replacement from mooooomxmmmxmmommmm?\nAnswer: 275\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 142727 + -142727.3. Let k = -0.7 - -0.2. Let t = 0.3 + 0.7. Which is the nearest to t? (a) 0.01 (b) k (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/(-15) - ((-16)\/10 + 2). Solve 2*d = -j*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7771402, -7771399, -7771390, -7771369, -7771330?\n\"Answer: l**3 - 3*l**2 + 5*l - 7771405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 39718196842149 and -3?\nAnswer: 39718196842152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 214*r + 1700. Give s(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2461186*g**3*l + 9*g**3 + g**2*l - 9346*g**2 - 13*l + 2 wrt g.\nAnswer: 14767116*l + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((6\/(-10))\/(-3)). Suppose -5*f + 44 = i*m - 6, 46 = 5*f + 3*m. What is the lowest common multiple of 1 + -2 + 0 - -15 and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003566 to five decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-36)*(-12636)\/(-1872)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p. Let z(b) be the first derivative of b**2 + 6. Let g = 404 - 403. Let k(f) = -f. Let a(s) = g*z(s) + 3*k(s). Give a(m(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**3\/15 + 112*h**2\/15 - 14*h - 108\/5 = 0.\nAnswer: -1, 3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699147.\nAnswer: 3, 131, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -114*i + 190*i + 37*i - 3164 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 7, y: 2, x: 2, j: 7}. What is prob of picking 1 j and 1 x?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - z**2 + z. Let p be l(2). Let a be (p\/(-3))\/(2*(-2)\/(-6)). Let j(t) = 3*t + 2. Let g(b) = 4*b + 3. Give a*j(v) - 4*g(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2295916 and 1475946?\nAnswer: 20663244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 2*l - 12. Suppose 7*s + 25 = 2*s. What is the tens digit of a(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3)\/a**4*(a*(a*a**(-1)\/a)\/a*a)\/(a\/(a\/(a**0*a))))\/((a**1\/a*a**7)\/(a**5\/a**2)) assuming a is positive.\nAnswer: a**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -10*y + 20*y - 9*y. Let m(l) = -6*l**2. Determine m(s(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11*36*10\/4356\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 9 - 76 - 40*g**2 - 6*g**2 + 44.\nAnswer: -46*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 53605 times 51\nAnswer: 2733855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = z. Let f(m) = -40 + 22 + 20 + m. Give f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 9) to base 3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 12*a - 1. Determine g(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8999 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2762 + 12*t + 2764 + 4*t - 5526.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17978944 is divided by 9364?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/54 and -67\/270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-5 - -8) - 14\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 16) to base 5.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 755149*w**2 + 755037*w**2 - 5 + 8.\nAnswer: -112*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/3146346 and 49\/108.\nAnswer: 18878076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5 - 24*s**4 + 18*s**3 + 540*s**2 - 648*s - 3888 = 0. What is s?\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**2 + 18860*k - 44462450 = 0.\nAnswer: 4715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32534*i**3 - 32527*i**3 + 65047*i**3 + 4*i**2.\nAnswer: -14*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-1\/33)\/h*h\/((h*h\/(h\/((h*h*h**(5\/13)*h)\/h)*h)*h)\/h)*h**(2\/9)*h*h\/((h*h*h**21\/h)\/h) assuming h is positive.\nAnswer: h**(-25988\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 3*a + a)*(1 - 3 + 0) + 4*a - 4*a + 3*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.0216 * 17854.\nAnswer: -36093.6464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-9)\/(675\/(-15)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8138 and 401266?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-2 + -4 + (3 - -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 55828\/(-16) - 339\/452. Does c = -3493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 + 29 - 8) + 0 - 29.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10073 + 12308. Calculate the highest common divisor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9767.746l in millilitres?\nAnswer: 9767746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 + 7*d**3 - 96 + 0*d**3 - 98.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/1)\/((-10)\/(-230)). Let i = -64 + r. What is the remainder when 19 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2451\/9)\/19)\/((-12)\/(-72))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1794 - -2255. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1145 + 4523?\nAnswer: 10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(-4))\/(-9*4\/(-1812)) and 107\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1028*k**2*n*u + 8*k**2*u - 19*k*n - k*u + 3*k + 59*u wrt k?\nAnswer: -2056*n*u + 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*t - 66 = -0*t, -5*t = -h + 5. Suppose 2*f = -3*f + h. What is the second derivative of 174*u**f - 167*u**5 - 8*u - 6*u wrt u?\nAnswer: 140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -7*m**6\/30 + m**5\/60 + 13*m**3\/6 + 4*m**2. What is the derivative of h(p) wrt p?\nAnswer: -84*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 27 = a, 2*a + 4*u + 90 = 7*a. Suppose -y + a = -22. Suppose -8*q - y = -4. Sort q, -4, 5, 1 in decreasing order.\nAnswer: 5, 1, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1 = 3*u, 4*u + 4 = -4*x. Let t be (8\/6 - 2)*3. Let w = x - t. Solve 1 = -w*o - 3*r - 7, r = -o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 303 and -4.14342301.\nAnswer: 298.85657699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*a - 10 + 645 = 0, -m - a + 136 = 0. Is (1926\/(-4) - 0)\/(m\/(-262)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*t + 1 = -t, -r + 4*t - 17 = 0. Is 956 - r - (1 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -32, 0.12, 1867?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672)*1)\/(sqrt(6) + -2*-1*sqrt(6)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 9*o - 4*o = -636, -4*o = -a + 312. Calculate the highest common factor of 5412 and a.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/b*b*b**(2\/11)*b**3\/b**6)\/(b*b*b**3\/b*b*b**13)**(-14) assuming b is positive.\nAnswer: b**(2752\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3728 and 57600396.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2. Let q(l) = 3. Let s(d) = -13. Let m(o) = -9*q(o) - 2*s(o). Let k = -12 + 11. Let i(g) = g - 6. Let c(a) = k*i(a) + 6*m(a). Calculate j(c(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 - 15\/(-3) - (7 + -1) and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/20664 and 28\/5043?\nAnswer: 847224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 21*l**2. Let q = 385 + -258. Let u(f) = -q + 2*f + 127. What is w(u(b))?\nAnswer: 84*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45216654.\nAnswer: 2, 3, 7, 1076587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2362479 by -1337.\nAnswer: 1767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.7 - 10.3. Let o = -8 - m. Let l = 112 - 1902\/17. What is the nearest to -0.2 in 3, o, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 2:33 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 0)*(-2 + 2 - v + 0*v + 2*v - v + (-1 - 1 + 1)*(6*v - 4*v + 0*v))*(146 - 258 - 767 + 57).\nAnswer: -6576*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 16. Let q = t - -20. Suppose 35 + 7 = 21*z. Solve -5*a = -z - q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -93666 - -147697. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 6 = 3*j. Let h be 6\/j + -3 + -21. Let z = h - -51. Calculate the highest common factor of 75 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25908 and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210882?\nAnswer: 2, 193, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011111111101110101001 (base 2) in base 9?\nAnswer: 10768317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35f8 + 498?\nAnswer: -3160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 3551*a**3\/3 - 449*a**2 + 4*a + 4735. Find the second derivative of z(g) wrt g.\nAnswer: 7102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1424 by 765.\nAnswer: -1424\/765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*d + 270, 65*k = 60*k + 3*d + 484. Are k and 94 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*a**5 + 118*a**4 - 2*a**2 - 23843*a?\nAnswer: -600*a**3 + 1416*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 62.35667 nanograms?\nAnswer: 0.00000000006235667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7487 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3666 divided by 39.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2835 and 46340?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Find the second derivative of 5*i**5 - i**5 - i**5 + l*i wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*16\/(-252)*3*(-14)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2856)\/(-196) + (-15)\/(-35).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801712 a multiple of 1276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**5\/60 - i**4\/8 + 5*i**3\/6 + 13*i**2. Let p(x) = x - 1. Let r be p(-4). What is d(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xttbvxxxxxvxx. What is prob of picking 1 v and 1 b?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.51 (b) 5 (c) -1323 (d) 0.2 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/2541, -18, -84.9.\nAnswer: -84.9, -18, -2\/2541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2498, 4945, 7324, 9629, 11854, 13993?\n\"Answer: -a**3 - 28*a**2 + 2538*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*o + 756*o - 11 = m, 4*o + 5*m + 10 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 10. Let h be q(-7). Let f be h\/24 + 34\/12. Suppose f*v = -v + 132. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 0 + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*80\/2220?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 3)*(1 - 1 - c) + 9*c + 6*c - 4*c)*(4*c + 0*c - 6*c).\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5537 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/60*((-320)\/(-240) + (-103)\/66)?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.107 + 3.107. Let k = -16.9 - -16.9. Which is the smallest value? (a) o (b) k (c) 5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(1\/22)*a)**18\/(a**(14\/5)\/(a*a*a**(-17\/3))) assuming a is positive.\nAnswer: a**(7978\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 8\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, q: 4, a: 1, g: 2, b: 1}. Give prob of picking 3 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 102468647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 28*o + 1. Let f = -1117 + 1122. Let j(t) = -3*t**2 - 57*t - 3. Determine f*z(h) + 2*j(h).\nAnswer: -h**2 + 26*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (12 - (6 + (2 - 3))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332.1 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0*m*m)**(-36)\/(m**(-2\/9)*m**(-3\/7)))\/((m**1)**(3\/2)*(m*m\/m**(-1\/6))\/m*m**(-1\/5)) assuming m is positive.\nAnswer: m**(-34592\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 31, 120, 295, 586, 1023, 1636?\nAnswer: 2455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2854232.3 rounded to the nearest ten thousand?\nAnswer: 2850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 + 4 + 7)*(-6*b - 14*b + 11*b) - 2*b - 3*b + 3*b - 2*b + 6*b - 2*b)*(-b**2 - 2*b**3 + b**2).\nAnswer: 306*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khs when three letters picked without replacement from {w: 1, h: 1, i: 1, s: 2, v: 1, k: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -32. Calculate the remainder when (-19)\/((4 + -3)*-1) is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29784 is divided by 2480.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*b**3 + 57*b - 325*b + 218*b**3 + 218*b**3 - 347*b.\nAnswer: -8*b**3 - 615*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 3. Let h be 6\/(-10)*(-10)\/2. Let r(x) = -x**2 + 4*x. Let f be r(h). Let p = f + -3. Determine o(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = v - 3*u, 3*u + 144 - 158 = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 72*b - 74*b + 18)*(-1 + 0 + 2) in the form o*b + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, -5, -2, 15.\nAnswer: -5, -2, 15, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 19*h**2 - 2*h - 34. Let w be f(-19). Solve -2\/9*b**w + 4\/9*b**3 + 2\/3*b**2 - 8\/9*b - 8\/9 = 0 for b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 5*p - 5*u, -4*u - 6 = 2. Let v = p + 33. Let n = v + 24. Calculate the greatest common divisor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - (-9 - (6 - 20))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*z + 10 = 0, -24*k - 142*z + 140*z + 30 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 2*w - 26, 15 = 4*w + w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -62\/14079 < -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 2 - 2)*(2 + 2*c - 2) - 35*c**2 + 68 + 55*c**2 - 24*c**2 to the form j + u*c + r*c**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 20 - 24 + 66 + 12*d - 468*d to the form a*d + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 7) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.5 in 3, -0.3, -54?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/5)*q*(q**20*q)\/q*(q**(-13\/4)\/q)**(-2\/25) assuming q is positive.\nAnswer: q**(1037\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10997 is divided by 46.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1686*z**2 - 148020*z + 683021532 wrt z.\nAnswer: -3372*z - 148020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2455027 is divided by 306878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -20?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4572797*o + 3078409 wrt o.\nAnswer: -4572797","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 10*c**2 + 3 - 3 to i*c + m*c**2 + q and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15650 and 100.\nAnswer: 31300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7006?\nAnswer: 2, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44.794 + 0.046. Round c to zero decimal places.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 18431171?\nAnswer: 18431166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -20 - 19 - -6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.22 + 22. Let p = w - 0.28. Let z = -51 - -49. Which is the fourth biggest value? (a) 0.4 (b) -1\/10 (c) z (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44.94 + -45. Let l = 0.083 - 0.123. Let j = l + x. Which is the closest to -0.3? (a) -2\/3 (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 16471 + 32803 = -q + 17053 for q.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1918 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - -0.32. Let g = -0.5 + d. Let t = 144 + -1292\/9. What is the second smallest value in -2\/7, t, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -592589*u**2*x**3 - 3*u**2*x**2 - 59*u**2*x + 17*x**2 wrt x?\nAnswer: -3555534*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is e327 (base 15) in base 4?\nAnswer: 23231122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -1.3. Let q = s + -0.6. Let b = -1399 - -1398.99. Sort b, 0, q in increasing order.\nAnswer: b, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 0 - 6\/5*u**3 + 0*u + 0*u**2 + 3\/5*u**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -443580 - -443582. Find l such that 26\/3*l**2 + d + 10\/3*l**3 + 22\/3*l = 0.\nAnswer: -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 39*b**3 - 3*b**2 + 3*b + 1. Calculate u(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -96 in 1, -4\/3, 0?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2212 and 55300?\nAnswer: 55300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -99 (base 11) to base 9\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2. Let w(b) = 57*b + 6. Let h(j) = 57*j + 7. Let l(f) = -5*h(f) + 6*w(f). Give l(z(u)).\nAnswer: 114*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5\/6, 8, 5\/3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17 + -0.1065. What is m rounded to three dps?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 + h + 5. Let j = -9 + 11. Let b(f) = 8*f**2 + 0 - 1 - 9*f**j. Suppose 2*m = m + 1. What is m*r(p) + 5*b(p)?\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*u - 8 - 1 - 103 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 5*l**2\/2 - 45. Let o(u) be the first derivative of u**2\/2 + 1. Calculate a(o(v)).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 133 = -2*s. Find the second derivative of -s*y**3 + 2*y - 15*y**4 + 19*y**3 + 2*y wrt y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2156) - sqrt(2156)*3) + (sqrt(352)*1)\/sqrt(8) + sqrt(44))**2 - (-3 + sqrt(176)*-4*2))*4.\nAnswer: 128*sqrt(11) + 25356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -3 - u + 5\/2*u**2 - 1\/3*u**3. Calculate p(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 1. Let z(s) = 16*s - 6. Let u(a) = -22*d(a) + 2*z(a). Let o be u(14). Suppose -3302 = 8*b + o. Round b to the nearest 10.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.4. Let x = -349 + 348. Which is the third biggest value? (a) 3\/2 (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1156 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + i - 7*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b\/(b\/(b**(-2\/11)\/b)))*b))\/b*b**(1\/2)\/b*b**(-8)*b**(-3\/4) assuming b is positive.\nAnswer: b**(-591\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0 - (-343 + 334).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d81 (base 14) to base 8.\nAnswer: -5145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 19*m + 11. Give o(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r - 119. Let w be k(6). Let s = w - -72. Which is the closest to -0.3? (a) -2\/15 (b) s (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165900 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(-42)\/90 + (-4)\/(-6). Let m be (h\/3*6)\/(9\/12). Suppose -4*v + 28 + m = 0. Calculate the lowest common multiple of 36 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-2))\/(-5)*1*(-36)\/(-27)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16884 and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ummmmummuummum. Give prob of picking 4 m.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121\/423 - -3\/47. Which is the closest to g? (a) 1 (b) 0.6 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -838\/7 + 120. Solve -2\/7*z**4 - x*z**2 + 4\/7*z**3 + 0 + 0*z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1444.\nAnswer: 1\/1444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2194 or 509?\nAnswer: 2194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5346750 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(0 - 2) + 3. Suppose 3*i - 2*t = -a*t + 21, 0 = -5*i + 2*t. Find the second derivative of 7*b**2 - i*b - 5*b + 0*b wrt b.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h. Let o = 3 - 4. Let i be w(o). Let z(u) = 22*u**2 - 20. Let v(f) = 65*f**2 - 60. Let l(a) = i*v(a) - 8*z(a). Differentiate l(t) wrt t.\nAnswer: 38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 8 - 1)*(9 - 18 + 12)*(52*q**3 - 6*q**2 - 2*q**4 - 52*q**3).\nAnswer: 36*q**4 + 108*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**4\/4 - 8*f**3\/3 - 4*f**2 + 4*f - 1. What is the units digit of a(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhsf when four letters picked without replacement from {l: 2, s: 9, h: 2, f: 1, k: 3}.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**4\/3 + 1525*i. Let u(w) = -3*w**2 + 98*w. Calculate u(t(m)).\nAnswer: -48*m**4 + 392*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 18*i = -10*i + 39*i + 492 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5126570 divided by 1?\nAnswer: 5126570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13126, 13124, 13122?\nAnswer: 13120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -25 - 1. Suppose 0*z - k = -z. Solve j + 11 = 2*s, 3*j = 3*s - 11 - z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 6:24 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1589 = -3*c + 1387, -2*c + 1987 = 5*y. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1736 + 2534. Let o be j\/((-6)\/2) + 7 + -6. Let r be 1 - (o\/6 - 1\/(-6)). Calculate the greatest common divisor of r and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 444093, 444067, 444017, 443937, 443821, 443663, 443457?\nAnswer: 443197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31, -39, -47, -55?\n\"Answer: -8*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**2 + 2*w**2 - 6*w**2 - 3*w**2 to the form k*w**2 + l*w + c and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c - 3, -4*c - 14 = b. Calculate the common denominator of 9\/10 and b*(-148)\/128*1.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 minus 22455339919898?\nAnswer: -22455339919898.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129 - 96. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22197.\nAnswer: 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 68*g**2 - 2*g. Let l(w) = -w**2 - w. Determine -k(y) + 2*l(y).\nAnswer: -70*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 12*k - 293. Determine b(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 560c + 4?\nAnswer: 5613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -252. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/(735\/(-14)))\/(12\/(-42)). Let u = 7.8 - -1.2. Which is the biggest value? (a) n (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z - 1. Suppose -5*q = -4 - 6. Let v be c(q). Find the second derivative of 3*o**5 - o**5 - o - 3*o**v wrt o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 b, and 1 t when three letters picked without replacement from {u: 1, t: 2, m: 1, k: 6, b: 2, e: 7}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 41328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 53. Solve b = v + v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -5, -3, 42 in descending order.\nAnswer: 42, 1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(8\/7)\/(i*i**3)*(((i*i\/i**(-7)*i)\/i)\/i)**12)**18 assuming i is positive.\nAnswer: i**(11736\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 17629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -297\/1349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -7815 smaller than -39068\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 2.6. Let o = -4.4 - b. Let w = 0.1 - o. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 3:34 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1844580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, k: 4, s: 1}. Give prob of picking 3 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-1 + -1)*-10. Let n be (f\/(-5))\/(2\/5). Let o be (-4)\/(-12) - 16\/(-6). Solve -3*l + 2*z = -3*z + 26, 0 = o*z - n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bibbitibitbi. Give prob of picking 2 b and 1 t.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.67607mm in nanometers?\nAnswer: 52676070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/8 - ((-45)\/110)\/((-12)\/22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, 3\/2, 19?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -62850000 rounded to the nearest 1000000?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(-2*sqrt(6)))**2 - (-1*sqrt(5) + 4).\nAnswer: -11\/4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 16*w**3 - 6*w**2 + 6*w - 11. Let u(o) = 16*o**3 - 7*o**2 + 7*o - 11. Let a(f) = 6*u(f) - 7*z(f). Differentiate a(x) wrt x.\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 2*a + 5*x - 1024, 5*x + 1026 = 2*a. Is 30 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2700\/(-75))\/648 - (-3 + 2427\/54)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 46 - 1. Suppose 92*n + 462 = 10*n - 72*n. Let j be (2 + (-10)\/n)\/(u\/(-27)). Which is the third biggest value? (a) j (b) 4 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15 - -94) + 1\/((-2)\/4). Suppose -12 = -2*u + 9*j - 4*j, -3*j + 50 = 4*u. Calculate the highest common factor of x and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w - 4*w - 8*w - 6 - 3*w.\nAnswer: 4*w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-13*(-374)\/442)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -16\/3*h**4 - 35*h - 3\/20*h**5 + 131\/18*h**3 - 1 - 11\/3*h**2. Factor v(a).\nAnswer: -(a + 22)*(3*a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 10:48 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -51*q + 49*q. Let h = q + -53. Is -75*(0 + 1)*(-3)\/h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 2:15 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9852 + 9713 - x**2 - x**2)*(-x - x + x).\nAnswer: 2*x**3 + 139*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*h + 20 = -12, 5*h = 3*d + 10. What is the units digit of ((-84)\/d)\/(12\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 2*k = -56, -159 + 165 = 2*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 780\/7 not equal to 112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010210021 (base 3) to base 8.\nAnswer: -237125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, 4.\nAnswer: -2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3112 (base 4) to base 13\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97064 + -67066. Suppose 4*p + 24004 = 2*v + 2*v, -2*p + j = 5*v. What is v rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*b**2 + 8*b*p**2 + p**2 - 103*p wrt b?\nAnswer: -22*b + 8*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 2)*(-3)\/6. Suppose -2*l = 2, -3*l - 56 = -5*f - n*l. Let y = 13 - f. Solve -j = y*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 6, -5*o + 28 = -5*w - 4*o. Let t(s) = s**3 - s**2 + s - 1. Let c be t(2). Suppose n = -1 - 2. Sort c, w, n in increasing order.\nAnswer: w, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -15.9, -16\/7, 0.03, -0.5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 30 = -5*t, -t + 0*d + 10 = 2*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 13) to base 9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81\/154 + -2\/77. Is s less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 0*r**4 + 1 - 17*r - 6*r**2 - 16*r + 30*r - r**4 to g + x*r + a*r**4 + f*r**3 + v*r**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2621681+-0.6\nAnswer: 2621680.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -143880 and -63866.\nAnswer: -207746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25230616 and -23.\nAnswer: -25230639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/2*(0 - 2). Let p be 1\/b*(6 + 0). Suppose z**2 + 5*z**p - 4*z**2 - z**3 - z = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**3\/3 - 3*c**2 + 3*c. Suppose -110 = 4*r - 274. What is the remainder when r is divided by u(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 3192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(10\/5)*-2*1\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8454 is divided by 347?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -32, 4, 5, 1489, 2, -1 in descending order.\nAnswer: 1489, 5, 4, 3, 2, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 2, -1051 in descending order.\nAnswer: 26, 2, -1051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 3203208.\nAnswer: 3203208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 10 - l)*(69*l**2 - 69*l**2 - 52*l**3) in the form d*l**2 + i*l**3 + w + r*l + j*l**4 and give j.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 30 = -h. Let p = h - 9. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22365 divided by -191.\nAnswer: -22365\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7*(-4)\/42 + 296\/6. Let x = 17 + z. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 14, 4, 21 in increasing order.\nAnswer: 2, 3, 4, 14, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j = -27*j + 3*l - 1488, -l = 4*j - 1984. Let s = 524 - j. Solve s*c + 9 = 25*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/7 in -0.2, 121, -470?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13.52366 kilometers?\nAnswer: 13523660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*w + 5*r + 1, -4*w + 3*r + 8 = 0. Solve -w*i + b = 4*b + 4, 2*b = 4*i + 24 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -193, 199, -11, 1 in descending order.\nAnswer: 199, 1, -11, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -8.96475907551\nAnswer: 8.86475907551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 144327 (c) 5 (d) 3 (e) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 882*c - 1. Let v be i(-1). Let a = -494 - v. Let h = a + 748. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 41. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 18*w. Suppose w = -24*c + 21*c + 18. Calculate the remainder when 16 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - i = 0, -v - v - 3*i + 4 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-6) - (-3)\/9. Suppose -5*d - 4*m + 300 = 0, -d - h*m = d - 120. Round d to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 998140280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in two sevenths of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-60))\/((-5)\/535). Let h = d + 7\/12. Let v = -5 - -3. Is v > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 16*c + 122. Give o(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) - 152\/(-6). Let j = c + 9. Let g = 57 - j. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21895 or 0.2?\nAnswer: -21895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 6:25 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 83491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2 - 134*r - 3. Let d(p) = 9*p**2 + 265*p + 6. Give -6*d(g) - 11*v(g).\nAnswer: g**2 - 116*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 60 - (-1 - -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58800 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 9*z**2 - 9*z - 7. Let g be p(-8). Let x = 5 + g. What is the first derivative of -x + 15*r - 15*r - 7*r**4 wrt r?\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u = 27798 - 26466 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b8 - -674ed?\nAnswer: 67335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kee when three letters picked without replacement from kezez?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-2)*5\/4. Suppose 450 = 5*k + 2*m + 3*m, -4*k + o*m + 396 = 0. Suppose -41 - k = -5*b. What is the greatest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = g - 3*i, 2*g + 2*i - 5 = 3. Let c be 6\/g + 38\/6600*4423. Let n = -616\/25 + c. What is the common denominator of 67\/12 and n?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-23 + 18)*(-3)\/(-3) - -53. Differentiate 100*w + 41*w + x*w - 144 - 37*w + 55*w with respect to w.\nAnswer: 207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*b*i**2*s + 3*b*i**2 - 3*b*i*s**2 + 45*b*i*s + b*s**2 + 2*b - 11*i**2*s**2 - 19*i**2 + 2*s**2 + s wrt i?\nAnswer: -18*b*s + 6*b - 22*s**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 11 - 18. Let m = -10 + 7. What is the closest to k in m, 3\/8, -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -465 + 468. What is the smallest common multiple of f and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145322, 290635, 435934, 581213, 726466, 871687, 1016870, 1162009?\nAnswer: 1307098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -7*j**5 + 129527*j**4\/3 - 184946*j**3 + 221900*j**2 - 147928*j\/3 = 0.\nAnswer: 0, 2\/7, 2, 18491\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**3\/y)*y*y**(-4\/5)*y**(-2\/13)*y*y**(-3))**(4\/21) assuming y is positive.\nAnswer: y**(-256\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (0 - -3) + -38 + 23 + (22 - 49)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74361000*h - 74361232*h - 17632 = 0 for h.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000440931463 rounded to seven decimal places?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/8 - 423\/376?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001048 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.13 (b) 0 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 5:50 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -25267800 to the nearest 100000.\nAnswer: -25300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**3\/7 + 370*i**2\/7 + 746*i\/7 + 374\/7 = 0.\nAnswer: -1, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*h - 85371380 = -31497780. Round h to the nearest 10000.\nAnswer: -1220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-1 + -1 + 2) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 11:33 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/8*1\/6. Let r = 2507 - 2512. Which is the second smallest value? (a) k (b) r (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5731740853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/5, 9, 0.1, -34\/3 in ascending order.\nAnswer: -34\/3, -1\/5, 0.1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - 2*l**3 + l**3)*(1 - 1 + 8)*(2 - l - 2).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 4*k**2 + 4*k + 6. Let t(c) = -3*c**3 - 9*c**2 - 9*c - 13. Calculate -6*t(a) - 13*w(a).\nAnswer: 5*a**3 + 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - b**2 + 4 + (1599 - 2772 + 2017)*(2 - 2 + 2*b**2).\nAnswer: 1687*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 4*v**2 - 2*v + 16. Let u be n(-5). What is the third biggest value in 2\/7, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**4\/6 - 5*m**3\/6 - 2*m**2. Let d be f(-7). Suppose 2*h + d - 63 = 0. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 7:49 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**2\/7 + 12720*n\/7 + 738075 = 0?\nAnswer: -3785, -455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 9:25 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72348252 is divided by 4019346.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.02 and 2.4349715.\nAnswer: 2.4549715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124 less than -0.5?\nAnswer: -0.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**3\/3 - h. Let p(n) = -n**3 + 4*n**2 - n - 4. Let s be p(3). Let y(r) = 2*r - s + 2. Determine y(a(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33075407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2053\/3 + -59717\/87. Which is the closest to 2? (a) x (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28757 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -100968107 and 578.\nAnswer: -100967529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4784 = -4*r, 7*j = 2*j - 4*r + 5980. Calculate the greatest common factor of 52 and j.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + i)*((3 + 0 - 2)*(-4*i + 4*i - 2*i**2) + 41*i**2 + 216 - 216).\nAnswer: 39*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183264656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4814 - -2524. Let h be -1 + 1 + -3 + l. Let q = -13625\/6 - h. Find the common denominator of q and -15\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1864.\nAnswer: -1863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - -106. Suppose -2*a = -5*j - 70 - 88, -2*j - 215 = -3*a. Calculate the highest common divisor of a and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00372 rounded to 4 dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*(1 + (sqrt(147) - 4*(2 + sqrt(147))) + sqrt(147) + sqrt(147) - ((sqrt(147) - 5*(sqrt(147) - (2 + sqrt(147)))) + 2)))**2.\nAnswer: 13300*sqrt(3) + 23720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -10233082 <= -10233084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/15)\/f**6)**(42\/5)*f\/(f\/(f\/f**(-2)))*(((f\/(f\/((f**(-4)*f)\/f)))\/f*f)\/f)\/f*(f\/(f**(-1)*f))**(3\/28) assuming f is positive.\nAnswer: f**(-38089\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00185796 rounded to 4 dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -13. Suppose -13 = -2*q - y, q - 29 = f*y + 2*y. What is the remainder when 22 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1, 15104934?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -8. Let z(f) = -4*f**3 + 2*f**2 + 2*f + 3. Let p(r) = -1. Suppose 4*q = -3*n - 18, 0*n - n + 8 = -q. Let c(d) = o*z(d) + q*p(d). Factor c(i).\nAnswer: 4*i*(i - 1)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -734251, -734248, -734243, -734236, -734227?\nAnswer: -734216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 189360 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from cbccccbcbcccctt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158 - 158.127. Let i = -412 - -411.997. Let x = b + i. What is the second biggest value in 3\/5, 5, x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11364 divided by -947?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 7*s - 232. Let x(u) = s - 2*u - 99 - 5*u + 4*u. Give x(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 129486 and 576?\nAnswer: 12430656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2055\nAnswer: -4\/2055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1779, -1776, -1773?\nAnswer: -1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 + 5.07. What is the nearest to n in -1, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -848102 by 206.\nAnswer: -4117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00199746495 to 7 decimal places.\nAnswer: -0.0019975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 + 7*i**2 - 164*i + 604. Determine f(4).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22350\/2886875*(34 - 3).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 3\/5 (c) 0.35 (d) -156 (e) 2\/11 (f) -2\/5 (g) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2565)\/30*(48\/(-9))\/4 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 7*q**2 + q**3 - 2 + 0 + 6*q**2 + 5*q to the form m*q + a + p*q**2 + w*q**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*h - 46 = 2707*h - 1295 - 1285 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 n, 1 h, and 1 l when four letters picked without replacement from nlllllmhlnlnxqlx?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32, -76, -152, -260, -400, -572?\n\"Answer: -16*i**2 + 4*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3319 + -59603\/18. Find the common denominator of c and (693\/88)\/21*17*2\/(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1983160 and 198316?\nAnswer: 1983160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12043632 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -5, 38, 107, 208, 347, 530?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -612347, -1224683, -1837019, -2449355?\n\"Answer: -612336*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 3. Let m(p) = p + 4. Let x(d) = -3*m(d) + 2*n(d). Let c be x(-10). Solve 0 = 3*f - 11 - c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.0414 + 0.0414. Let y = 0.22 + 0.08. Which is the closest to -1\/6? (a) y (b) -1\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*q + 5. Let x = -176889\/143 - -1237. Let u = x + -320\/2431. What is the nearest to -2 in q, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 0 - (-2)\/(-2). Suppose -u - 2 = -b. Let x(s) = 2*s - 26. Let y be x(12). Is y > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/1088717 or 0?\nAnswer: 5\/1088717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -5, -10602, 37, -1 in descending order.\nAnswer: 37, 5, 0, -1, -5, -10602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + m**2 - 3*m + 1. Let p = -21 - -11. Let v = p + 22. What is the remainder when v is divided by c(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3*(-2 + 4). Let g(o) = o**2 - 7*o + 6. Let x be g(6). Let h be (1 + x)\/(14\/(-70)). Which is the nearest to h? (a) q (b) 3\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c - 5 + c**2 + c**2 - c**2. Let b be t(-4). Let l(x) be the third derivative of -x**4\/24 - x**3\/3 - 11*x**2. What is l(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 55 - 4*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14367800 and 2660.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180325575 divided by -135.\nAnswer: -1335745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r = 4*j + 273, 2*r + 5*j - 159 = 0. Suppose -2*d - d = -r. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -u. Suppose -3*g - 40 = -5*z - u*g, -5*g - 16 = -2*z. What is the smallest common multiple of 6 and (18\/z)\/((-6)\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 1:37 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/9 of a day in minutes?\nAnswer: 7360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1149)\/(-2 - (1 - (-86)\/(-29)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 + 2.36. Let s = -3.3 + 3. What is the third biggest value in s, 5, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*f + 1)*(-f**2 - f**2 + 0*f**2 + (-3 + 3 + 30*f)*(-2*f - 4*f + 3*f) + 2*f + 0*f**2 + 24*f**2 - 5*f**2).\nAnswer: 146*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*q**4 + 9*q + 36 - 3\/4*q**3 - 7*q**2 = 0. What is q?\nAnswer: -4, -2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -183 - -182. What is the nearest to 0 in 2, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8095 - -11980. Suppose 3*q - h = -4*x, -4*q - x + 274 + 4893 = 0. List the prime factors of q.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + 367\/5. Let y be -4 - -1 - (-6)\/2. Which is the third smallest value? (a) y (b) j (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -252217813*d*p - 181870402*p wrt d?\nAnswer: -252217813*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1730*c + 26. Let d be x(1). Suppose -9*r + d = 3*t - 14*r, 0 = -3*r - 6. What is the remainder when t is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 66?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, z: 1, x: 7, t: 2, c: 3}. What is prob of picking 1 c and 2 s?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -35 and 7065.\nAnswer: 7030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153860 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03719176427 + 2.\nAnswer: 2.03719176427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4164041 or 4164045?\nAnswer: 4164045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 14*g - 4 = 0. Let p(v) = -35*v - 8. Let x be p(g). Calculate the highest common factor of 44 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (3 - 3) - (-5 - -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*m = 5*r - 4, 2*m - 2*r + 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + (2*4\/(-8) - -2). Let n(j) be the third derivative of -j**5\/60 - 5*j**4\/24 + j**3\/6 + j**2. Determine n(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 7 - 1)*(-11 + 73 + 16)*(5*c + 3 - 3).\nAnswer: 5850*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**5\/12 - h**4\/6 + 3*h**2\/2 + 6. Let r(k) be the second derivative of s(k). Find the second derivative of r(l) wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -17, 1, 5831 in ascending order.\nAnswer: -17, 1, 3, 4, 5831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10320203 is divided by 1418?\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19511 + -19478. Let v(i) = -209*i**3. Let y(u) = -26*u**3. Calculate n*y(r) - 4*v(r).\nAnswer: -22*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 9) to base 6\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sys when three letters picked without replacement from {s: 1, y: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213031 (base 5) to base 6.\nAnswer: 53350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1310190 and 5872.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1799 + 2831. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 11:22 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 50*k - 498. Let z be j(-36). Solve b + 2*m = -2, 0 = z*b - 7*b - m - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1123 - -1123. Solve n = -s - 3*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 31*c - 241. Let r be g(15). Calculate the greatest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51607104.\nAnswer: 2, 3, 17, 97, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1145*j + 66*j + 914*j - 81*j)*(4*j + 0*j - j) to the form c*j + p + r*j**2 and give r.\nAnswer: 6132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281 = -3*p + 247. Suppose -12962 = 217*h - 14264. What is the smallest common multiple of h and p?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2935026430 to the power of 1\/2, to the nearest integer?\nAnswer: 54176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1361 + 0.0639. Is l at most as big as 38.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 - -181. Let g = f - 91.3. Which is the second biggest value? (a) 2\/19 (b) 6 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -20*p**4\/3 - 15*p**3\/2 + 57*p**2. Does 15 divide j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 5*l = -2*k, 3*l + 2*k = 4. Solve -4*o + l*g + 18 - 22 = 0, 0 = -3*o - g - 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4565.704 meters?\nAnswer: 4565704000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 19. Let x be (-2)\/6 + d\/(-6). Let r(n) = 7*n**2. Let p be r(x). Round p to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 h when four letters picked without replacement from {h: 5, k: 7}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/9)\/((-10)\/(-380)) and (-6)\/(-4)*(-29)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from ggguuucdug?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1, -1\/2, 1\/5, 0.06?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 264002 (base 11) to base 13\nAnswer: 117032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k**2 - 12*k - 11. Let u(o) = 28*o**2 - 36*o - 32. Let m(h) = 16*n(h) - 5*u(h). Factor m(f).\nAnswer: 4*(f - 4)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245\/2*m + 0 + 133*m**2 - 6*m**3 + 1\/2*m**5 - 5*m**4.\nAnswer: m*(m - 7)**2*(m - 1)*(m + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-26.509308\nAnswer: -23.8583772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15567642 is divided by 88?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10*j + 1. Let l(n) = n**2 - 3*n + 3. Suppose -5*o = -5*k + 5, -5*o = 2*k + 3*k - 15. Let x be l(k). Let f be 3 + -3 + -1*x. Calculate b(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d - 1. Let w(c) = c**2 + 1. Let v(o) = r(o) + 2*w(o). Let a be v(5). Let z = -11 + a. Solve z*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 - (1 - (-3 + 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 5:28 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -680 divided by -136.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 40.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 28*j**3\/3 + 2*j**2 + 24*j.\nAnswer: 2*j*(j - 3)**2*(3*j + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**3 - 116*g**2 - 329*g - 217. Let f(p) = p**3 - 29*p**2 - 82*p - 54. Let l(t) = -4*a(t) + 18*f(t). Factor l(y).\nAnswer: -2*(y + 1)*(y + 2)*(y + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/4851 and 101\/630.\nAnswer: 48510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*z + 40*z + 69*z.\nAnswer: 170*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 3*b - 2*b + 12 + 9 - 9 - 5*b + 2*b + b - 5*b + (b + b - 3*b)*(1 + 1 - 1) to the form f*b + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1288*v + 267870. Calculate h(-208).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 9:17 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g + 21*g - 2*g - 9*g to the form m*g + p and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13826.567 and 0.017?\nAnswer: 13826.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26.9 + -25. Let n = 2.9 - x. Let k = -0.9 + n. Which is the nearest to k? (a) 5 (b) -2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.89 - 0.95. Which is the closest to x? (a) -1 (b) -3 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 753, 831, 909, 987, 1065?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2139 divided by -10.\nAnswer: 2139\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 665, 1401, 2205, 3077, 4017, 5025?\nAnswer: 6101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -17*i + 10. List the prime factors of r(-18).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*h + 7*h. What are the prime factors of (h\/(-12))\/((-9)\/10638)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -509652.\nAnswer: 1\/254826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + 2)\/((-2)\/4 + 1). Suppose -2*g + 3*g + 3*a - l = 0, g = 4*a + 44. Calculate the smallest common multiple of g and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 65*s + 12. Let v(h) = 61*h + 11. Let z(c) = 13*v(c) - 12*x(c). Suppose -4*f + 22 + 2 = 0. Is z(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 44\/21*j**3 - 9\/14*j**4 + 87 + 2\/35*j**5 - 64\/7*j + 0*j**2. Solve n(p) = 0 for p.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*d = 1295 + 1057 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.03, -23099?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 4*f + 1. Determine g(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2397374*l**5 + 10*l**3 - 555*l - 425 wrt l.\nAnswer: -47947480*l**3 + 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60*(-25)\/(-900)*((-5)\/25)\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12001 - 112002?\nAnswer: -100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 6:14 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94915?\nAnswer: 5, 41, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3334 + -36223746718\nAnswer: -36223743384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*h - 502. Let c = h - 481\/3. What is the nearest to c in 1\/3, 4\/7, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11494281217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - v + 3. Let m be f(0). Let n = m - -151. List the prime factors of n.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1004, -35, -54\/11?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sijggfej. Give prob of sequence gfes.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -10714?\nAnswer: 10724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*w - 2. Solve -j = u - w*u + 5, u = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1502218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/7 - 810224*j\/7 + 2430654\/7 = 0.\nAnswer: 3, 405109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukw when three letters picked without replacement from {u: 3, k: 3, w: 1, t: 3, p: 1, e: 2}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044138567 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 9240?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1020306.3 - 0.2.\nAnswer: -1020306.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 = 8. Suppose 3*u + s = 3*s + 11, -4 = -2*u + 2*s. Let h = u - 8. Which is the nearest to -0.2? (a) -2\/7 (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15909893 + 0*b**2 - 3*b + 5*b + b**2 - 1349057.\nAnswer: b**2 + 2*b - 17258950","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 421695, 421711, 421737, 421773?\nAnswer: 421819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8731*r - 426*r - 740*r to i*r + p and give i.\nAnswer: -9897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 3*q + 7 - 27, 4 = -4*q + y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*p**2 + 70*p**3 - 39*p**3 - 26*p**3 + 2*p**2 - 3 to the form y*p + x*p**2 + a*p**3 + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 - 99*s**3 + 2594*s**2 - 7104*s + 4608.\nAnswer: (s - 48)**2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 8*u**2 + 12*u - 27. Let a be p(9). Let f be (-8 - a)*((-10)\/4 + -1). Suppose 0 = w - f - 93. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -22*y**3 - 5*y**2 - 6*y - 5. Let t(v) = 109*v**3 + 26*v**2 + 29*v + 25. Let z(s) = 11*g(s) + 2*t(s). Is z(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -66.5. Let k = x + -6.4. What is k rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716 a factor of 286626801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 0.3 (b) -20 (c) -0.01 (d) -24 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9 - 25.8.\nAnswer: -27.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -3*f**3\/2 - 3*f + 12. Let z(x) = -x**2 - 5*x + 3. Let y be z(-3). Let u = 8 - y. Determine d(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*10*(-4)\/24?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2142256 (base 8) to base 5.\nAnswer: 121342023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 5*j = 5037 - 5025, 0 = -26*o + 8*j + 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23691 is divided by 67?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 1 = 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*r + 4*j, 0 = -1388*r + 1386*r - 3*j + 10. Sort r, 4, -3, 0, -6 in ascending order.\nAnswer: -6, -3, 0, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4245*m = -4240*m - 16560. What is the greatest common divisor of 621 and m?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*i = 2*u + 88, -458 = -5*u - 3*i. Suppose 163*x - 49626 = -172*x + 72314. What is the highest common factor of x and u?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 5) + (-2 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 80. Suppose -3*c + 0*c = -s + 6, -2*s + 4 = p*c. Suppose -s*q - 7 = 4*u + 4, -5 = -5*u. Let z(f) = -f**2 - 4*f + 7. Calculate z(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, t: 10, e: 2, o: 1, q: 3}. Give prob of picking 1 t, 1 o, and 2 e.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w - 256 = 0. Let o be 3 + 0 - w\/(-20). Let i(j) = j**3 + 2*j**2 - 2*j. Let q be i(-2). What is the biggest value in q, -2, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-10))\/(11\/165). Let i(z) = z**3 - 9*z**2 + z - 13. Let y be i(c). Let m be y\/3*5\/((-420)\/6). Is 0 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2\/9 (c) -0.27 (d) -0.1 (e) 1.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2 + sqrt(175) + 1 + 4)**2 - (2*sqrt(175)*5 + sqrt(175) + -3)**2) + 5.\nAnswer: -20955 + 400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 416?\nAnswer: 2912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/8*(-4 + 36). What is the units digit of (-2)\/(-3) - 104\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o - 110 = -4*a, 0 = 3*o + 6. Suppose 10 + a = -4*z. Let f = z - -19. Solve w = -w - f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -9. Let k be 0\/(2\/z + 4). Suppose -m - 3*i - 10 + 39 = 0, 5*i - 10 = k. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(sqrt(19)*1)**2.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 144719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 92446157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000715030047 to six decimal places.\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4424380*o + 2023943.\nAnswer: 4424380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000032852 rounded to seven decimal places?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/2 - 3726877*x**3\/2 - 33541947*x**2\/2 - 100625895*x\/2 - 50312961 = 0. What is x?\nAnswer: -3, 3726886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 7*h**2 - 5*h - 5. Let f be c(6). Let k be (2*(226 + f))\/(-2). Let n = 324 + k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 5:38 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 16*v**5 + 17018796*v**4 - 310596988*v**3 + 1455131700*v**2 - 344636532*v = 0.\nAnswer: -1063693, 0, 1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -578*y**3\/3 - 54196*y**2 + 1155840*y + 858009600 = 0. What is y?\nAnswer: -3360\/17, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6132909 divided by 1.\nAnswer: -6132909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 0.2, 1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2280, -3409, -6472, -12435, -22264?\nAnswer: -36925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(55\/(-12)))\/(20*(-42)\/9240)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - 4*f**2 + 10*f**2 + (-f + 0*f - f)*(-4*f + f - 2*f).\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(5040) - sqrt(5040))*-5 + 2*sqrt(5040)*5)\/(-3*(sqrt(343) + 2*sqrt(343) - sqrt(112)*-5)))**2.\nAnswer: 2000\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 212, 420, 628?\n\"Answer: 208*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6762 - -6764. Let z be 0 - (2 + (-24)\/11). Which is the second smallest value? (a) -0.3 (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 936201422?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 13, a: 1, j: 1, d: 2}. Give prob of sequence dal.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -3*i**4\/4 + 26*i**3\/3 + 6*i**2 + 97*i - 124. Let p(f) be the first derivative of n(f). Determine b, given that p(b) = 0.\nAnswer: -2\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 414 = 4*i, 3*i = -2*x + 4*i - 271. Let h = x - -136. Solve 2*q - 1 = -3*u, 5 = h*u - 2*q - q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + 0.01. Let c be (45\/(-40))\/((-29)\/4). Let q = -109\/1450 + c. Put -0.1, g, q in ascending order.\nAnswer: -0.1, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/75 - 1\/3. Let v = -1\/100 + r. Let d be ((-7)\/2 + 4)*2. Which is the biggest value? (a) -2\/7 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71\/(-497))\/((-3)\/9 + 0).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 201 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b4aa9 - 53?\nAnswer: -1b4afc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5279 less than 7201?\nAnswer: 7200.4721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -34. Suppose 0 = -u + 4, -4*j = -4*u + u - 60. Calculate the greatest common factor of j and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2147 + 2147.04785. Round n to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 a factor of 1938880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 19*y - 68*y + 21*y + 25*y + 3. Let c(u) = -5*u + 5. Give 5*c(r) - 8*p(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -3\/8*m**4 + 2*m**2 + 0*m + 0*m**3 + 0 + 1\/60*m**5. What is the units digit of q(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/((-9)\/81*30)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(4\/5)))\/i)**(1\/74)*(i**10)**(-26) assuming i is positive.\nAnswer: i**(-96209\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -4 (c) 3 (d) -3 (e) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -923.59 and 23734975?\nAnswer: 23735898.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -3562.58?\nAnswer: -14250.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d**4 + 28*d**3 - 21*d**2 - 96*d - 88. Let l(n) = 6*n**4 - 25*n**3 + 21*n**2 + 97*n + 87. Let i(b) = -8*l(b) - 7*t(b). Factor i(s).\nAnswer: (s - 5)*(s + 1)*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, w: 3}. What is prob of sequence wwww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 59 - 2\/4*-2. Let f(t) = 7*t**3 - 25*t**2 - 2*t - 20. Let a be f(4). What is the greatest common factor of a and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(1584) + -4 + 5*-2*sqrt(1584)) + 0)**2.\nAnswer: 3456*sqrt(11) + 513280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:04 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 11*b - 9. What is y(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 17. Let i be a(-8). Let v = 14 - i. Solve 4*x = -v*h + 33, 4*x - 2*h + 0 = -2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 + 0.46. What is the smallest value in 12, 5\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = i. Suppose 3 - 2 = 5*m + r, -m - 5*r = 19. What is the greatest common divisor of i and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*r + 1. Suppose r*d = d. Suppose d = -b + 6*b + 76500000. Round b to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1102*c - 927. Is q(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. Suppose r*h - 4*h = 0. Suppose 14 - 2 = 3*b. Solve c + 4*l + 2 = l, h = b*c + 5*l + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78 - 77) + 93 - -15?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -141\/7. Suppose -c + 4*a + a = -19, 5*c - 2*a = 3. Is n smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64*0.05.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 26?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*w - 8 = 0, -2*w + 3 = 1. Suppose 0*h - 14 = -j + a*h, 5*h = -2*j + 10. Let f = 39 - j. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eek when three letters picked without replacement from ekkkkwewkwwwwkwwkkk?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 72 = 68. Let y(v) = v**2 - 53*v + 269. Let n be y(5). Let k = n - w. Solve -2*h - 1 = k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -12*x - 9. Does 18 divide z(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3804 times -6223.6?\nAnswer: -23674574.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 3*n + 3. Let f(h) = -5*h**2 - 8*h + 8. Let u(p) = 3*f(p) - 8*r(p). Let v(s) = -20*s**2 + 3*s. What is u(v(a))?\nAnswer: 400*a**4 - 120*a**3 + 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -45 - 3?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 53324+-82\nAnswer: 53242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 470, 487, 504?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9143 and 1066?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8800 and 250.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 + 126 = -l. Suppose 3 = -2*f + 3*f. What is the third derivative of 7*k**l - 4*k**3 + 14*k**2 - 5*k**f wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 + 0*j**2 + 41*j**2 to the form m + d*j**2 + l*j and give d.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/81 and 43\/288.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -46\/9, -5, -0.2, 66?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 5*c**3 + 0*c + 4*c**3 as q*c**3 + s + o*c + i*c**2 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-8)*s)\/(s\/s**3))**(-2\/63)\/(s**(1\/3)\/(s\/(s*s**(-7)*s)))**(2\/51) assuming s is positive.\nAnswer: s**(-10\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219873519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3179 to two decimal places.\nAnswer: 2.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 - (0 + -2 + 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1545 and 19610.\nAnswer: 6059490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -4. Suppose -4*b + a*f - 4 = 0, -4*b + 8*b = 2*f + 4. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1627\/134 - -24\/67. Let h = 12 - f. What is the closest to 0 in -4, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -2 in decreasing order.\nAnswer: -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {l: 2, n: 2, p: 1, m: 8, k: 5}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p**2 + 8*p + 62. What is r(-5)?\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -3*z - 3, -3*n - 9 = -641*z + 638*z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 220066 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**4 - 335*r**3 + 5715*r**2 - 1485*r - 65340 = 0. What is r?\nAnswer: -3, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-423)\/63 + 7 + (-33)\/42. What is the nearest to -0.1 in 3, c, -0.2, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*g*m**3 + 479*f*g*m**2 + f*m**3 + 2*f*m**2 - f + 17*g*m**3 - 3*g*m**2 - g*m - 97*m**3 wrt m?\nAnswer: -6*f*g + 6*f + 102*g - 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 183959507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74*p**2*x**3 + 2*p**2*x**2 - 2*p**2 + 53*p wrt x?\nAnswer: -444*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/10044 and 137\/3348.\nAnswer: 10044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooeeee. What is prob of sequence eoe?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**9)**(-4) assuming a is positive.\nAnswer: a**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 21. Let l = h + -22. Let u = l - -24. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38455, -76925, -115395, -153865, -192335, -230805?\n\"Answer: -38470*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - d**2 + 1. Let h(n) = -5*n**3 + 21*n**2 - 14*n - 7. Let b(a) = h(a) + 4*r(a). What are the prime factors of b(15)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, -0.077, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 590 times -5\nAnswer: -2950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(1\/4))*f*(f\/(f\/(f*(f\/(f**0*f))\/f)))\/f)\/(f*(f**(-4)*f)\/f)**3 assuming f is positive.\nAnswer: f**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 141, 149, 147, 129, 89, 21?\n\"Answer: -w**3 + w**2 + 12*w + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 7*d**2 - 8*d - 4. Let o be t(8). What is the third biggest value in o, -3\/4, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -53) + -2 - 30?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-5)*15\/(-45)*-5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565151 is divided by 4969.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + u. Let k be (13\/4 - 3)*4. Let m(z) = z**2 + 9*z - 60. Let o(g) = k*m(g) - 4*y(g). Let o(f) = 0. What is f?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9552, 9551, 9550, 9549, 9548, 9547?\nAnswer: 9546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 91*l**4 - 955*l**3\/2 + 223*l**2\/2 + 5*l = 0.\nAnswer: -1\/26, 0, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-78)*(-96)\/(-64).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-116)\/174*((-1)\/2 + 2). Suppose b + 2 = 4. Let a(j) = -j**3 - 3*j**2 + 3*j - 1. Let k be a(-3). Put i, b, k in decreasing order.\nAnswer: b, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -10 - (-15 + -14 + 16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.11 and 105390772.17442.\nAnswer: 105390772.28442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raan when four letters picked without replacement from {r: 3, a: 8, s: 2, f: 2, y: 2, n: 2}?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 725, 2562, 5597, 9812, 15189?\nAnswer: 21710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-6)*(-28)\/(-6). Suppose 3*j - j = 4. Let c be j\/q + 570\/35. What is the greatest common divisor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894576405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 7:38 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19548834?\nAnswer: 2, 3, 19, 171481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2 + 87*s - 2 + 4. Let w(m) = -m + 1. Let j(t) = 2*l(t) + 4*w(t). What is the tens digit of j(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -527638 or -527639?\nAnswer: -527639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2648907 to the power of 1\/2, to the nearest integer?\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6359 minus 1828?\nAnswer: -1829.6359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 328 - 304 = 0. Sort n, 1654, -4 in decreasing order.\nAnswer: 1654, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5535209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2. Let o be -1 - -5 - (-6 - 4). Suppose -4*n - s = o, 0 = -3*n - 3*s + s - 13. Determine x(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, 2, -107, 9 in increasing order.\nAnswer: -107, 1, 2, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*a = 8, -2278*a + 7 = -q - 2277*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 2*w - 2*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 218\/20 - 15*(-6)\/(-45) and -119\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021733 to 7 decimal places.\nAnswer: 0.0000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25300)\/(-1403) + ((-260)\/610)\/13.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -29. Factor 2\/3*y**5 + 0 + 2\/3*y**4 + 0*y - 2\/3*y**u - 2\/3*y**3.\nAnswer: 2*y**2*(y - 1)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + -5 + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**8\/56 - g**7\/21 + 103*g**6\/6 + g**4\/4 - g**3\/2 - 43*g**2\/2 - 21*g - 51. Find the third derivative of n(l) wrt l.\nAnswer: -120*l**3 - 120*l**2 + 12360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4016, -4018, -4020, -4022?\n\"Answer: -2*o - 4014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8357476*l**3*r**3 - 2*l**3 - 4*l**2*r + 271172910 wrt r?\nAnswer: -25072428*l**3*r**2 - 4*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 10. Suppose -6 = 146*q - 143*q. Let v be ((-28)\/(-21))\/(1\/(-3)). Sort v, 0, q, d in decreasing order.\nAnswer: d, 0, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -138 (b) -6 (c) -15\/4 (d) 4 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318 - 156 - 164 - 10*k.\nAnswer: -10*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 252, 258, 276, 312, 372?\n\"Answer: d**3 - d + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -506, -1596, -3270, -5528, -8370?\n\"Answer: -292*k**2 - 214*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - -407. Suppose -87*o = -92*o + n. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/414 and 95\/858.\nAnswer: 59202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -3*h + 4\/3*h**3 + 0*h**2 + 0. Let i(a) = 2*a**2. Calculate i(d(m)).\nAnswer: 128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/6)\/(2\/6). Let x = h - 7. Let q = 10 + x. Solve -5*b + 5*d + 5 + q = 0, 3*d = b - 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = -5*r. Suppose -12 = -3*g - k - 1, 5*g = -r*k + 13. Suppose 4*l - 84 = 4*c - 0*c, 0 = g*c + 10. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 861*y - 2. Let g(p) = 179288*p. Determine g(o(c)).\nAnswer: 154366968*c - 358576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -220?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*k + 90*k + 86*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s - 5. Let b(k) = 2*k - 3. Let q be (-12)\/(-6) + (-1 - -255). Let n be q\/(-10) - (36\/15 + -2). Let f = n + 30. Calculate f*z(v) - 7*b(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 6 - (42 - (26 + 13)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/13)\/(o*o**2)*o**8*o\/o**(4\/7))**(-20) assuming o is positive.\nAnswer: o**(-10020\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z + 120 = 0. Suppose t - z = -7. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -113440, -113211, -112982, -112753, -112524, -112295?\n\"Answer: 229*m - 113669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 162*q + 325.\nAnswer: -(q - 2)*(q + 650)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -523*o**3 - 1121*o**3 - 51*o**3 - 1257*o**3 - 216*o**3.\nAnswer: -3168*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -29*l. Let x(m) = -m**2. Give x(p(o)).\nAnswer: -841*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 + 0.1. Let t = j - 9. Let x = t - -9. What is the closest to 0 in x, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31013888.\nAnswer: 2, 31, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, r: 11}. Give prob of sequence ggg.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 r, 1 k, and 1 c when four letters picked without replacement from kcyryyiokccccikokc.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2126 + -4109. Let h = -1983.2522 - m. Let z = 0.25218963 + h. Round z to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59423 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/15)\/8*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10294 + 10442. Solve 18 = -f*q + 139*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66895.4 to the nearest 100.\nAnswer: -66900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 186450 and 22600.\nAnswer: 745800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a day in minutes?\nAnswer: 29520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 814 - 816. Let x = 0.2 - -0.8. Let h = 155 + -153. What is the nearest to x in r, h, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6)*3\/25*5. Let a(n) = n + 5. Let g be a(-5). Factor u*l + g + 2\/5*l**2.\nAnswer: 2*l*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/7, -15\/244, -5\/4, -525?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 24. Suppose 4956 = s*l - 2*l. What are the prime factors of l?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/14 of a week?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n*n\/((n\/((n*n\/(n\/((n**(5\/3)*n)\/n))*n)\/n))\/n)))\/(n*n**14))**(-17)\/((((n*n**(7\/5)*n)\/n)\/n)\/n**2*(n*n**(-1))**(-2\/7)) assuming n is positive.\nAnswer: n**(4769\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -56*d**2 + 5*d + 1. Let b(z) = -57*z**2 + 6*z + 1. Let p(w) = 3*b(w) - 4*v(w). Does 19 divide p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/39)*t)\/(t**(-7\/5)*t)*t**(-32)*t**4)**(-12\/17) assuming t is positive.\nAnswer: t**(20708\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 258.2 - 39.2. Let i = 219.00749 - h. Let g = 0.008 - i. What is g rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 1 - 16*s + 0 + 8 + 3. Let n(b) = 3*b + 3. Let h be n(-4). List the prime factors of y(h).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 5*m**3 + 26132*m - 25803*m + 2*m**3 + 74.\nAnswer: -3*m**3 + 329*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.767 * 4.\nAnswer: -27.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/41 + -5\/246. Let p(i) = i**3 - i**2 - i + 3. Let d be p(0). Which is the second smallest value? (a) -1 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {k: 2, n: 1, u: 1, m: 1, h: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 1. Suppose 113 + 100 = -64*g - 107. Let q(x) = 23*x**2 + 23. Let c(m) = -8*m**2 - 8. Let v(l) = 17*c(l) + 6*q(l). Determine g*j(d) + 2*v(d).\nAnswer: -d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17439\/7150 - -138\/325. Let t = 48\/11 - u. Factor 3 + t*i - 3\/2*i**2.\nAnswer: -3*(i - 2)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378588363 a multiple of 6512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 237871020 to the nearest 1000000.\nAnswer: 238000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3459*f - 34641. Calculate s(-10).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 70*n = 62*n - 22, 0 = 2*z - 2*n - 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2963733 from 0.1.\nAnswer: -2963732.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(5) - ((sqrt(5) + sqrt(35)\/(sqrt(35)\/sqrt(5)))**2 - sqrt(5))) - (-2 + 1 + sqrt(5)).\nAnswer: -19 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324 divided by -5?\nAnswer: -1324\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (7 - 12 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -15*f**2\/2 + 72*f + 57. Find the first derivative of r(y) wrt y.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 1 + 4*v - 3*v + 8*v. What is the units digit of i(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.43296 to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 67 + 9*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, j: 4}. Give prob of sequence pj.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/17005?\nAnswer: -3\/17005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 - -523\/6. Let v = 16.83 - 17. Let d = 0.03 - v. Which is the smallest value? (a) o (b) -1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236420299 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 2. Suppose -n = -1 - 1. Let g be 665\/(-42) - n\/12. Let a be ((-3)\/(-4))\/((-4)\/g). Calculate t(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*a + 6. Let d be -3 + 2\/a - -1. Let j(w) = 0 + w + d + 0*w. Let t(g) = -2*g. Give j(t(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49355400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22423248, 22423247, 22423244, 22423239, 22423232?\nAnswer: 22423223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*z + 0*z = 21, 0 = 4*z - 20. Let r = h - -8. Let g(m) be the third derivative of m**6\/120 - m**5\/15 + m**4\/24 - 5*m**3\/6 + m**2. Determine g(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*m + 434*m - 862*m + 4*t = 47, -14*t + 211 = -5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3186461 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 3824, 13332, 31964, 62762, 108768?\nAnswer: 173024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + 24 + -88 + -11.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 0.5, -6, -12.138.\nAnswer: -12.138, -6, -2\/21, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and -8.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-39)*-2*6\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/15)\/(22208\/(-694))?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 6 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -41841.\nAnswer: 12552.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1586999245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 127105, 127200, 127483, 128056, 129021, 130480?\n\"Answer: 17*p**3 - 8*p**2 + 127096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 68 = h, 247 + 29 = 4*h + 2*j. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -107, 3045, 8257, 15535, 24885, 36313, 49825, 65427?\n\"Answer: c**3 + 1024*c**2 + 73*c - 1205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttktmmtkmt. What is prob of picking 2 t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 697 = 589 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u - 80. Let n be f(-10). Let d = 15 - n. Let m be 13\/(-2) - (-5)\/(-10). Is d smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -50*i**2 - 4*i - 3. Let x be y(-2). Let v = -138 - x. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 2079719996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 13, -2 in ascending order.\nAnswer: -2, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 + 82. Let z = 28 - t. Sort -1, 2, -4, z.\nAnswer: -4, z, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.01 - -0.01. Let p = -1292.32 - -1293.4. Sort -1\/5, g, -4, p in ascending order.\nAnswer: -4, g, -1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48676201.\nAnswer: 7, 37, 163, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - z. Suppose -108 = 38*t + 79*t - 810. Let u(k) = 3*k**2 + 2*k. Determine t*o(c) + u(c).\nAnswer: -3*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -222, -403, -584, -765, -946?\nAnswer: -1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 2) + (-48 - (-16 + 33))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3 + 3. Let q(x) be the first derivative of 2 + n*x - 1\/3*x**3 + 1\/2*x**2. Find the second derivative of q(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Which is the smallest value? (a) 0.2 (b) -4.315 (c) 2\/7 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -154, -355, -556?\n\"Answer: -201*v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**5\/9 - 22*d**4\/9 + 1826*d**3\/9 - 3578*d**2\/9 + 592*d\/3 = 0.\nAnswer: -37, 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 8 - 17, 3*i = -3*l - 30. Suppose -3*g - 5*a - 12 = 0, -6*g - 4*a - 17 = -11*g. Put l, -2, -4, g in decreasing order.\nAnswer: g, -2, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -d + 5*c, 10*d = 6*d - 4*c - 8. What is the nearest to -12 in d, 4, -18, -0.3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44.7 + 48. Let l = -0.3 + w. Let i be 2 + -2 - 4\/(-6). Which is the nearest to 0.1? (a) 0.5 (b) i (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 1 - -6) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 518c00 - -a?\nAnswer: 518c0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101493 = 2164*p - 43495 for p.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -909*d + 1766*d**3 + 909*d.\nAnswer: 1766*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 28. Let s be c(-32). Which is greater: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 8:36 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -4)*1*-1. Let i be 2\/(-5) - 24\/15. Let x be 1*(i + (6 - -1)). Solve 5*t + 8 = -p*h, -3*h - x*t = 1 + 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5436723 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 67\nAnswer: -13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*c - 400, 11*c + 558 = 3*f + 15*c. What is the remainder when 371 is divided by f?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjmm when four letters picked without replacement from jjbmjmbbjmb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let z(j) = j**3 - 5*j**2 - 5*j + 1. Let a be z(6). Suppose -a*n + 5*n + 4 = 0. Is v not equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105241 + -169598. Let b = 578528\/9 + d. Let m = 76 + b. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-3))\/(6\/27). Let b = c - 2. Suppose 55 = 2*a + 3*q + 2, -71 = -b*a + q. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 16770*o + 783. What is w(0)?\nAnswer: 783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -358495\/127 >= -2822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -9*h**3 + 5*h**2 - 10*h - 23. Is q(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -191*f - 71. Let m be d(-4). Let y = 695 - m. Solve -4*q + 26 = y*b, 6*q - 4*q - 16 = -2*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*l = 40 - 10, 0 = 5*a + 2*l + 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*b**3*i**3 + 3*b**3 + 12*b**2*i**3 - 55*b*i**3 - 13*b*i**2 + 14*i wrt b.\nAnswer: 252*b*i**3 + 18*b + 24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 535 = -185. Let t = -13027\/1042 - -1\/521. What is the common denominator of t and ((-833)\/o - 4) + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -433*d + 5464. Let q(w) = 868*w - 10952. Let n(b) = -5*l(b) - 3*q(b). Differentiate n(v) with respect to v.\nAnswer: -439","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 l when three letters picked without replacement from lgldldclbgcdgclccd?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8 = 3*u, -u = 6*b - 10*b + 87. Let y = 163 - 60. What is the remainder when y is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 949*m - 2479. Let a be r(5). Calculate the greatest common factor of a and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1390 divided by -278\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296 and 15646856.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**9\/756 + g**5\/24 - g**3\/3 - 3. Let u(b) be the third derivative of p(b). What is the second derivative of u(i) wrt i?\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*f = 92*f - 24. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + d = 0, 0 = 3*i + 5*d + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.94 + -1.24. Let d be (4\/(-10))\/((-16)\/20). Which is the closest to d? (a) -5 (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/7, -1\/3, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 4*v**2 - 8*v**2. Let k(t) = 113*t + 114*t - 337*t + 111*t. Calculate o(k(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155 less than 1156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - y**2 - y - 2. Suppose 5*u = -0*u - 3*g - 1, -2*u + 6 = -2*g. Let s(w) = w + 1. Determine u*c(z) + 2*s(z).\nAnswer: -z**3 - z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-22 + 25)*(0 + 213) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03719 + -1238.81281. Round z to the nearest ten.\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6744248483 to the power of 1\/2, to the nearest integer?\nAnswer: 82123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 24*p - 452. Calculate j(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 10 (b) -4 (c) 5 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 5 + 7*t + 2 - 5*t**3 - 3*t**3 - 1 + 0*t**3. Let h be u(-1). Solve -6*y - h = 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**5 - 7*n**2 - 3*n**2 + 0*n**5 + 14*n**5 wrt n?\nAnswer: 780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4170, -8042, -11912, -15780, -19646, -23510?\n\"Answer: b**2 - 3875*b - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1525382647 to the nearest integer?\nAnswer: 39056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/12 (b) -4 (c) 0.05 (d) 2\/227 (e) 10 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 14*m**2 - 3315*m + 52536. What is l(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 28. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/8116 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 261*l**2 - 1416*l + 677. Give y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - i**2 - 43*i - 73. Calculate d(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 34 + 58 = 0. Solve k*x + 28 = 24 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -874 - -1459?\nAnswer: 7a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31 - 66627?\nAnswer: -66596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2535 by -4.\nAnswer: 2535\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**5 + 2*a**5 + 3*a**5 + (3*a**2 + a**2 - 2*a**2)*(-a + a - 2*a**3) + 5*a**5 + 3*a**5 + 5*a**5 + (4*a - a - a)*(-5*a**4 + 3*a**4 + 3*a**4).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.0459466\nAnswer: 0.0229733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(102) + (sqrt(102) - (sqrt(102)*-2*5 - sqrt(102))) - sqrt(102)) + 6*sqrt(102)*2)\/(sqrt(600) - sqrt(600)*2 - sqrt(12)\/sqrt(2)*5) + -4.\nAnswer: -8*sqrt(17)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2052, -4866, -8482, -12900?\nAnswer: -18120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.053 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -101, -256, -515, -902, -1441, -2156, -3071?\nAnswer: -4210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05 and -3410.8.\nAnswer: -3410.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -322803\/35 + 69042\/7. Let i = -640 + b. Suppose i*s**4 + 4\/5 - s**2 + 3\/5*s - 3\/5*s**3 = 0. What is s?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 9964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlq when three letters picked without replacement from {d: 4, q: 5, l: 1, b: 8}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 131*t**2 - 65*t - 242. What is l(-3)?\nAnswer: 1132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1583118 is divided by 791535.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13374 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27, -111, -277, -567, -1023?\n\"Answer: -7*s**3 + s**2 - 38*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 173*h - 15142. Determine q(88).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*t - 11 + 95 - 43 - 41.\nAnswer: 67*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*o = -175*o - 320. Let m be (80\/o)\/(5\/(-8)). Solve -2*z + m*f - 16 = 0, 1 = -5*z - 4*f + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13337.\nAnswer: 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.6 + 6.8. Which is the third biggest value? (a) w (b) 0.04 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 40 = -5*h, -2*l = 4*h - 11 - 23. Suppose -f + l = n, -5*n + 50 = -2*n + 4*f. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46723 or -0.2?\nAnswer: -46723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 680*h**3 + 18*h**2 - 81*h - 39. Let t(m) = -m**3 - 6*m**2 - m - 3. Let j(x) = -o(x) - 2*t(x). Find the second derivative of j(r) wrt r.\nAnswer: -4068*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 2)*(-3 + 1 + 1)*(2*s - 2*s + 2*s)*(168 - 439 + 72).\nAnswer: -1592*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 6*o**2 - 5*o + 1. Suppose 5*l = 3*c + 11, 0*c - 3*c - 27 = 3*l. What is f(c)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 1\/((-1)\/9). Suppose b = 3*b - t. Find the third derivative of 8*w**5 + 3*w**5 + 4*w**2 + 5*w**b + 0*w**2 wrt w.\nAnswer: 960*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -133537\/10 - -13366. Find the common denominator of 23\/10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(168\/(-35))*(-2)\/(-5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - v - 2*v + 8*v. Suppose 214120 = 38*m + 214044. What is n(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*q - 144*q - 496 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.9*-0.02.\nAnswer: -0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = 30. Suppose 6*m + 4*x = 5*m - 84, -271 = 4*m + 3*x. Let f = m - -67. Solve -3*o = 4*n - j + f, -2*n + 3*o + 6 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415288 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 23*s - 153. Let a be i(-13). Is -23 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6536 - -7083. What is the remainder when b is divided by 121?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 5*w**2 - 2*w - 4. What is m(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/(3\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217396 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-1 - ((9 - 6) + 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30 - (1 - 1))*99\/(-22). Let t be ((-1)\/((-3)\/2))\/((-18)\/j). Suppose -t*i + 120 = i. Calculate the highest common factor of i and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.021 + 156.979. Let t = n + -200. Which is smaller: -2\/9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-30))\/((3\/(-1))\/(-27))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -11*t**3 - 5*t**2 - 4. Let u(f) be the third derivative of -f**6\/24 - f**5\/30 - f**3\/3 + 273*f**2. Give 5*u(p) - 2*y(p).\nAnswer: -3*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3055982\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 6. Let h be u(3). Suppose 3*v - 26 = 5*m - 0*v, 22 = -4*m + h*v. Which is the fourth biggest value? (a) m (b) 1 (c) 3\/5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44888 is divided by 644?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222122112 (base 6) to base 2.\nAnswer: 1111010110001111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/112 and -3\/7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 2*s**2 + 3*s + 1. Let v be o(-3). Let d be v + 3 - (1 - -1). Let w be (d\/(-1))\/(-2)*5. Solve 3*h + 3 = 2*p, 6 = -w*h + 4*h - p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12209 + 14738. Calculate the highest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**4\/2 + 76*y**3 - 4332*y**2 + 109744*y - 10. Determine f, given that q(f) = 0.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.1 (b) 2\/7 (c) 0 (d) -2\/85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 14898?\nAnswer: 14895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37 + -1357946?\nAnswer: -1357981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**3 - 7*v**2 + 7. Let p(q) = -q**2 + 2*q - 3. Let i(u) = -2*u**2 + 3*u - 4. Let f(s) = -2*i(s) + 3*p(s). Let n(x) = 6*f(x) + h(x). Give n(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-1)*c**3*c**2*c*c*c**(1\/3) assuming c is positive.\nAnswer: c**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 19 = -3*d, -7*d = -2*d + 3*k. Is (-422)\/d*30\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/2*(-8)\/10. Suppose -c*d + 2 = -14. Let q be (d\/10)\/(2\/(-5)). Are q and -2 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11021210 - -10?\nAnswer: -11021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*c + 51*u - 54*u, 4*c + 8 = -4*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -850 and 891.\nAnswer: -757350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + g + 4, -2211*g = -3*m - 2214*g + 42 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 196 - 4879360*z**2 + 4879370*z**2 + 0*z - 2*z to the form r*z**2 + t + w*z and give t.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*-2*(sqrt(70)\/sqrt(10) + -5).\nAnswer: -16*sqrt(7) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2740192.\nAnswer: 2, 7, 13, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 4. Let k(r) = r**2 + 2*r - 5. Let m be k(2). Let v be f(m). Which is bigger: 4\/53 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10206, -20429, -30654, -40881, -51110, -61341, -71574?\n\"Answer: -f**2 - 10220*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.12, 3090, -5, -9, -18, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000121873816 to 6 decimal places.\nAnswer: 0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6939 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 6) + -33 + (-23 - (2 + -4 + -8)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjjbjj. What is prob of picking 2 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**6\/60 - d**4\/12 - d**3\/3 + d**2. Let q(j) = -4*j**3 - 5*j - 5. Suppose 12 = x + 7. Give x*n(f) - 2*q(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -33*n**2 - 5*n - 5. Let s(d) = -34*d**2 - 4*d - 4. Calculate 3*c(h) - 4*s(h).\nAnswer: 37*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/4, -2\/11, -13, -0.3.\nAnswer: -13, -19\/4, -0.3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 636073.5 years?\nAnswer: 6360.735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 33 = -4*t, u - 1 = 5*t - 2*t. Let q = 0 - u. Suppose -2*o = -q*o + 12. Solve -o = -3*n + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 49*v**4\/24 - 2*v**3\/3 + 3*v**2 - v. Differentiate g(o) wrt o.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + sqrt(684)*2)**2*1.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 24. What is the remainder when k(14) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 10.\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 120431520 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114 + 15?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139314, 141531, 143748, 145965, 148182, 150399?\nAnswer: 152616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + -4)**2 + 4*(sqrt(3) - (sqrt(3) - 2*sqrt(3))).\nAnswer: -8*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9921, 9895, 9869, 9843, 9817?\n\"Answer: -26*t + 9947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -671 + 663. Let z be 366\/427*(-1 - m). Solve 5*l + 10 = 4*n, 0 = z*n - 2*n - 2*l - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -41, 5, -73 in decreasing order.\nAnswer: 5, 0, -2, -41, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**4\/6 - a**3\/6 - 2*a**2. Let m(n) = -32*n - 36 + 7*n**3 - 6*n**3 - 10*n + 18*n**2. Let f be m(-20). Determine o(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-99)\/42 + 6\/4 and (5\/(-24))\/((-2)\/(-30)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 132 = 3*z, 4*z - 163 = 5*z - 51*p + 45*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-11902)\/5412 + (0 + 2)\/1 and 95\/48.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.149 - -0.832. Let u = -0.019 - w. Let t = 4 - 4.4. Which is the nearest to u? (a) 4 (b) -0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 2853 - 2853.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 63 - 25 - 11. Let i be u(0). What is the greatest common factor of i and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/3 less than -1.45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246394 and 1472716.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - f**2 + f + 1. Let n(j) = -58*j**3 + 5*j**2 - 5*j - 4. Let t = -7127 + 7128. What is t*n(m) + 5*y(m)?\nAnswer: -53*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 8880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -11. Let p(b) = -3*b + b**2 - 2*b**2 - 128 + 132. Calculate p(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -586aa53?\nAnswer: 586aa58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i*i\/((i**(3\/4)*i)\/i))))\/i**7*(i**1*i*i)**(-46) assuming i is positive.\nAnswer: i**(-579\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9302492 and 8?\nAnswer: 18604984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u - 3*x = -1311, 2*x + 6 = 0. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + f**2 - 2*f**2 + 2*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2110*q - 2133*q + 276 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -1, -64, -205, -454, -841?\nAnswer: -1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 + 219.4935295?\nAnswer: 473.4935295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 23*y + 344. Determine t(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 47*b**3 + 46*b**2.\nAnswer: b**2*(b + 1)*(b + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 132.2960952 and 0.2?\nAnswer: 132.0960952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - s)*(s - 5*s + 5*s) + (17*s + 35*s - 12*s)*(s - 12*s + s) as q*s + o + k*s**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*y + 4*y, -5*s + 81152 = -y. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**5 - 11784*f**4 - 35224*f**3 + 647796*f**2 + 35226*f - 636012 = 0?\nAnswer: -5889, -9, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:42 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.1 - -3.2. Let j = 8.9 + z. Put j, 1, 4 in descending order.\nAnswer: j, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*-5516030.\nAnswer: 137900750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -2\/3*q**3 + 4*q - 2*q**2 - 1\/12*q**4 + 0. Factor b(p).\nAnswer: -(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + 3. Let y(l) = -4*l + 3. Let h(x) = -27*x + 293. Let f be h(11). Calculate f*y(j) + 5*k(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000014118 to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411921?\nAnswer: 3, 37, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.1 and -2\/341 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 102. What is the highest common divisor of a and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 78?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/3 (b) -1163 (c) -1789 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(448)*1*5)**2 - (sqrt(245)\/(sqrt(7) + sqrt(7) + sqrt(28) + sqrt(7)))\/(5*(sqrt(80) + sqrt(5) + sqrt(5))).\nAnswer: 47999*sqrt(7)\/150 + 11216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 v, and 1 t when four letters picked without replacement from {e: 2, v: 1, n: 1, t: 1, z: 4}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21780 and 4458?\nAnswer: 16182540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 43 = 7. Suppose -14 + g = -m. Suppose -z - 6 = -m*t + 4, 4 = -5*z - 3*t. Let d(i) = -4*i - 1. Let r(j) = j. Determine z*d(f) - 7*r(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpxppjxpp. What is prob of sequence jxx?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g**2*g)\/g))\/(g\/(g*g**(-2\/13)*g))*((g**(2\/17)\/g)\/g*g)\/(g*g*g*g\/(g*g*(g\/g**(-2))\/g)))**(-3\/37))**5 assuming g is positive.\nAnswer: g**(3435\/8177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*4\/5*-1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 250 + 160. What is u rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011212 - 212110?\nAnswer: 1022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2594574?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, f: 10, d: 2, y: 5}. Give prob of sequence ytty.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -78.3678, 2\/9, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3018 - 1255 - 3142*s**3 + 1455 wrt s.\nAnswer: -9426*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7897222 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = -3. Suppose v*s - 14 = -6. Suppose -3*a - r + 16 = a, 3*a = s*r + 31. Sort 0, a, -2 in descending order.\nAnswer: a, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1269126*t + 6083*t**2 - 1269126*t)*(-2 - t + 2).\nAnswer: -6083*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/12 + (-11)\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*d + 161 = 0, -2*o + 4*d - 136 = 2*o. Let n = 50 + o. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48776\/4020 + (-2)\/15 - 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5 = -b, -2*b = -4*h - 1446 + 1432 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*n + 1. Let t = n + 0. Let i(b) = -b**3 + 5. Let w be i(0). Put w, t, -2 in descending order.\nAnswer: w, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + z. Let h(t) = -3*t**2 + 10*t - 1. Let q(d) = -h(d) + 4*p(d). What are the prime factors of q(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3414, 13635, 30668, 54513, 85170?\nAnswer: 122639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 81*x**2 - 637*x - 71. Determine v(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8681709 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27763682 and 482?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 482, 480, 476, 470?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 705634471 to the power of 1\/3, to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from {d: 1, r: 6, o: 2, w: 9}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -18, -47, -94, -165?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-63))\/((4\/(-16))\/1)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 654, 680, 706?\nAnswer: 732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.1 - 2.5. Let d = -1.5 + h. Which is smaller: 1\/14 or d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/193418 and -71\/7166436.\nAnswer: 695144292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 12 - 3 + 31*v**2 - 24*v**2 - 7*v + 0*v**3 - v**3. What is u(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -11*k**3 - 9*k**2 - 2. Let y(t) = 6*t**3 + 3*t**2 + 2*t**2 - 294 + 295. Let v(w) = -w - 2. Let p be v(2). Calculate p*z(i) - 7*y(i).\nAnswer: 2*i**3 + i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/8 + (-21)\/56 + 4. Solve r = i*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 - -38011.\nAnswer: 37995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) + (-96)\/(-7). Solve -4*g + z = 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuauauuauuuuuuuuu. Give prob of sequence ua.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18324 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: Calculate the remainder when 153829 is divided by 153784.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*s - 13 = 0, -n + 3*s - 6 - 5 = 0. What is the second smallest value in -1, n, -0.029?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 q, and 2 n when four letters picked without replacement from {o: 1, q: 2, c: 1, l: 1, n: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/28*2\/6*8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*-5*28\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240.9271 micrometers in millimeters?\nAnswer: 0.2409271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 44644 = -111*t + 110*t, 0 = c - 2*t - 22310. Is 183 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 129 + 119 = 0. List the prime factors of (-31)\/w*(-1 - -1695).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 26*k + 96.\nAnswer: -2*(k - 16)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*g + 35*g - 41*g + 41*g.\nAnswer: 90*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 5*m + m)*(-3*m + 9*m + 3*m) + 4*m**2 + 7 - 7.\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 8*u - 34. Let d be i(-3). Calculate the remainder when 138 is divided by (0 - 0 - d)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 9?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a + 13. Determine k(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.63549 millilitres to litres.\nAnswer: 0.09363549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1761 is divided by 762?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8284 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 381 and 349 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, p: 7, l: 6, g: 1, u: 1}. Give prob of picking 1 k, 1 l, and 1 g.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2655*n + 36857. Determine f(14).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 6*v - 1. Let z be j(-5). Let b(d) = z*d + d - d - 640 - 5*d. Let f be b(0). Round f to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61584?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -13431*o**2 - 5224650*o + 3501 = 0.\nAnswer: -389, 3\/4477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(448))*4 - (sqrt(448) + 1)*4)**2 + ((0 + sqrt(847))*3)**2*-1.\nAnswer: -7479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**3)\/q)**4)**39\/((q*q**(-3)*(q*q*q**(2\/3)\/q)\/q)\/(q**(1\/3)*q**(-1\/2))) assuming q is positive.\nAnswer: q**(3751\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:06 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 0 + 1 + 5 - ((sqrt(68) + sqrt(68)*-1)*-3 - (3 + 0 + sqrt(68))))**2.\nAnswer: 72*sqrt(17) + 353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 2051*r**3\/6 - 913*r**2 + 537*r - 1. Find the first derivative of k(v) wrt v.\nAnswer: 2051","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -81, -146?\n\"Answer: -65*j + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/4440 and -44\/10323?\nAnswer: 412920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/2 + 2891*p**2\/2 + 1371427*p\/2 + 179315673\/2 = 0. What is p?\nAnswer: -2337, -277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.49 + 6.29. Which is the second biggest value? (a) -1\/2 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w - 235 = 52*w. Let f = -47 - w. Suppose 2*c - 4*i = 98, -3*c + 2*i = -f*c - 127. What is c rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3412*x**2 - 3321*x**2 + 3 - 24 + 19.\nAnswer: 91*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 1 - (-2)\/1. Let z = -1 + v. Suppose -28 = 3*d - 4*h, 3*h + 2 = 14. Put d, z, -5 in descending order.\nAnswer: z, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (44\/55 + 26\/(-20))\/(-18 - 2). Let l(k) be the third derivative of 0*k - v*k**5 - 5\/4*k**4 + 0 - 18*k**2 - 25*k**3. Find n such that l(n) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*n - 2*n + 24 = 0, 0 = n - 4. Let g(c) = -c**3 + 3*c**2 + c - 2. What is the least common multiple of j and g(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 58 - 21. Suppose 136 + 68 = 34*k. Suppose 451 = k*p + q. What are the prime factors of p?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w**4 + 302492*w**3 - 3289365?\nAnswer: 8*w**3 + 907476*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-12)\/45)*-56. Suppose -5*u + t = -u. Let d = -37 - -52. What is the highest common factor of u and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2 + 2*n. Let r be 1022\/210 - 4\/(-30). Let y(w) = w - w + r*w + w - w. Determine y(o(v)).\nAnswer: 25*v**2 + 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4179 and 1?\nAnswer: 4179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9*p + 9*p**2 + 4*p - 11 - 2*p**2 + p**3. Let j be b(-6). Let c = 62 - j. What is the highest common divisor of c and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 1 - 6 + 1370*w**2 + 1 in the form s*w**2 + j*w + n and give s.\nAnswer: 1370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.17 in -0.3, 5, 0.5, -0.05, 3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s = -5*d + 16*s - 169, 5*d - 587 = -2*s - 755 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70375083?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-54)\/4)*162\/(-27)*(-20)\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 120*b + 689. Let j(u) = -u. Let d(t) = 4*j(t) - y(t). What is the derivative of d(r) wrt r?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -2076, 0 in decreasing order.\nAnswer: 2, 0, -4, -2076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 3*u - 14, -13*q - 2*u + 16 = -8*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z. Let g(d) = 3*d + 11. Calculate p(g(f)).\nAnswer: 24*f + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.11143 millimeters?\nAnswer: 0.00511143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - -0.3. Let w(y) = 8*y - 29. Let f be 9\/(18\/16) - 5. Let z be w(f). Which is the third biggest value? (a) z (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*o**2 - 2 + 254*o - 3 + 60*o**2 + 258*o - 763*o + 256*o.\nAnswer: 4*o**2 + 5*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22845 divided by 1523?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t, 4*t + 5 = -5*r + 30. Let h(d) = d**2 - 4*d - 3. Calculate h(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*(1 + -3 - -196). Suppose -3*c - 13 = -d. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*4 + sqrt(13) + -3 - ((-3*sqrt(13))**2 + 2)) + 2.\nAnswer: -120 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0529, 2\/5, -175.64, -2\/21?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 17, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 777 + 2*y**3 - 876 - 628 - 1590 - 3*y**3 to f*y + w*y**2 + r + d*y**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**4 + 1001*z**2 + 14520*z?\nAnswer: -24*z**2 + 2002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 + -2300?\nAnswer: -2413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 2\/5, 44, 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 16*w - 23. Sort 2, w, -2, -3 in increasing order.\nAnswer: -3, -2, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 5*c - 9. What is a(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38265 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/7, 168, 3, -2\/7, 2, -0.438, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 814 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11134525.\nAnswer: 5, 257, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 647 + -354. Let i = u + -293.00486. Round i to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 - 1.99. Suppose -238*k + 233*k - 873 = -3*u, 4*k + 586 = 2*u. Is u < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1300505 divided by 5.\nAnswer: 260101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 1065, 2391, 4237, 6597, 9465?\nAnswer: 12835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-2) + 6\/12. Is (-1)\/n + 1406\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571357, 571479, 571607, 571741, 571881, 572027, 572179?\nAnswer: 572337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7837428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-15) - (-3496)\/(-4560))*2\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2524444608 to the nearest integer?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - f + 2)*(6 - 2 - 7)*(-2*f + 2*f - 2*f) to the form j*f**2 + s*f + k and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1231 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 564096 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1196, -2401, -3606, -4811?\n\"Answer: -1205*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -116*g**2 - 6*g + 3. Let h(s) = -s**2 - 2*s. Determine 3*h(w) - t(w).\nAnswer: 113*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -63637.3546 to the nearest one thousand.\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*u + 4 = -u, -4*y + 13 = -u. Let b be 0 + -1 - (-2)\/y. Let k = 34.3 - 34. What is the third smallest value in b, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*z - 150 = -0*z, -5*d + 2*z + 394 = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aabababaabba. What is prob of sequence aa?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -25, -90, -223, -448, -789?\nAnswer: -1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1213783 + 493892. Let d = 1019891 + v. Round d to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + (0\/(-2) - -1). Let y(d) = -d**3 - 6*d**2 - 4*d - 8. What is the tens digit of y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/30*(-64)\/((-40)\/(-5))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2 + 64364*p + 64362 = 0. What is p?\nAnswer: -32181, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3796.461mg?\nAnswer: 3796461000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1102, 2313, 3524?\n\"Answer: 1211*d - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 2 - 4705*h + 4707*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123704, 123477, 123254, 123035, 122820?\nAnswer: 122609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/(sqrt(8)\/sqrt(2)))**2 - sqrt(19)) + 3*-1*sqrt(19) - (sqrt(1539) - (-5 + (sqrt(1539)*3 - sqrt(1539))))**2.\nAnswer: -1545 + 86*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19744 - 8165. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 202 or 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 - 52*c\/9.\nAnswer: 2*c*(c - 26)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -67\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.393339 to 2 dps.\nAnswer: 28.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1053) + 2))**2.\nAnswer: 144*sqrt(13) + 4228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-99) + 2\/(-3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -9*w + 111, -14*s - w - 3 = -9*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6728 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from iyihh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x**4 + 19*x**3 + 59*x - 2. Let j(r) = 5*r**4 + 19*r**3 + 58*r - 1. Let b(p) = 4*j(p) - 3*v(p). Find the second derivative of b(i) wrt i.\nAnswer: 24*i**2 + 114*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7*x = 0, -8 = -2*k - 3*x. Let a(j) = -j + 4. Let r be a(0). Find the second derivative of -8*o**k + 3*o + r*o**4 + 3*o**4 wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -8\/13, 5633?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 50 = -15. Suppose -2*m + x = -5*c, -2*m + 3*c = -6 - 3. Suppose m*a - 3*d - 18 = 3*a, -d - 2 = 0. Solve 4*n = -3*w - w + 16, w - a = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**4)*(o**(7\/2)\/o)\/o*(o*o**4\/o)\/(o*o*o**(1\/13)) assuming o is positive.\nAnswer: o**(193\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5236 and 8228.\nAnswer: 57596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*h - 1, z - 4*z + 11 = 4*h. Let p(n) = 3 + 3*n - h + n**2 + 4. Let i be p(-3). Solve i*b + 11 = y + 2*y, b = -y + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5077, -10431, -15785, -21139, -26493?\nAnswer: -31847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2613020681533?\nAnswer: 2613020681531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 2*h**2 + 5*h + 2. Let g be t(-4). What is the highest common factor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245 = -42*w + 5*w - 199 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhz when three letters picked without replacement from hhgzmebb?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008074 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + 1 + (1 - 3 - 17) - 4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (71 - 190\/(-10))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1710814?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8968, 8970, 8974, 8980, 8988?\nAnswer: 8998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -129*l. Let v(d) = -32*d**2. What is v(p(h))?\nAnswer: -532512*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -572115 or -572016?\nAnswer: -572115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 238447?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14456*m**2 + 50991*m?\nAnswer: -28912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (4\/(-4) - -8). Let d be (-106)\/x + (-3)\/(-5). List the prime factors of 6\/(-15) + (-134)\/d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -2 + 3 + 0 + 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8567 + 15155. Suppose -4*j + o = -4*m, 0*j + 4*j + 2*m = 6612. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 288?\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -14288?\nAnswer: -14300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3)*i)\/i)\/i*(i\/i**(-4))\/i*i**12\/(i*i**(-4)) assuming i is positive.\nAnswer: i**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 98.62243 millilitres?\nAnswer: 0.09862243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4980 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 10*t**2 - 8*t - 6. Let g be b(9). Suppose -4*y = 5*w - 886, -g*w - 27 + 559 = 2*y. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y - 6. Let l be 1\/10 + (-378)\/180. Let b(p) = -p - 1. Calculate l*b(n) + a(n).\nAnswer: -n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -150, -169, -196, -231, -274?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1 + sqrt(1088))**2 - sqrt(1088)).\nAnswer: -24*sqrt(17) + 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2136 - -2134. Which is the closest to -9? (a) 5 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b + 0*b**3 + 0 + 0*b**2 + 1\/6*b**6 + 0*b**5 - 3\/4*b**4. Find the third derivative of g(l) wrt l.\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3 = 3*u, -4*u - 329*r - 4 = -332*r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4713.628kg in micrograms?\nAnswer: 4713628000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - (-20 + 24) - -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34682807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, 2\/9, -572, 3\/2?\nAnswer: -572","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 761.9 - 762. Which is the nearest to -2.8? (a) u (b) -3\/5 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/936 and -101\/21787974.\nAnswer: 87151896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 119 (b) -507 (c) -0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -859940 (base 10) in base 11?\nAnswer: -5380a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 814 (b) 2\/4587 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.351 and 183.\nAnswer: 184.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0369 and -24.\nAnswer: 0.8856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 + 2*r**2 + r. Let c be d(-4). Let w = c - -553. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/604 and 137\/2856?\nAnswer: 431256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64774*u**4 + 28579?\nAnswer: 259096*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 136\/32 + (-10)\/8. Suppose 3*u + 11 = 4*u. Is u\/33*2543*r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 299917524*i**2. Let p(y) = -2*y. Determine p(u(v)).\nAnswer: -599835048*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 26 - 6 = 0. Let c(q) = q - 11. Let k be c(9). Let m be -1 + 2\/1 - k. Solve -4*f + 11 = h, -m*f = -b*h - 0*f + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**7*c*c)\/(c*c**(-11\/5)*c))\/(c**(-40)\/c*c)**(1\/16) assuming c is positive.\nAnswer: c**(137\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -640.4777939 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c**2 - c**2 + 0*c**2)*(36284 - 403*c - 36289 - 220*c) + 2*c**3 + 0*c**3 - c**3 in the form p*c**3 + a*c + x*c**2 + k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 110100001?\nAnswer: 110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 3 (c) 1058 (d) -0.038 (e) -0.4 (f) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 3*k. Let l(c) = 2*c - 3*c**2 - c + 5*c**2 - c**2. What is -i(x) + 2*l(x)?\nAnswer: 3*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 37 - 37)*(973*n + 9637 - 9637) to the form o*n**2 + t + a*n and give o.\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -353, 0.\nAnswer: -353, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d (base 16) to base 12.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*d**4*k*x + 3*d**4*x - d**3*k**3 + d**2*x + 93*d*x - 2*k**3 wrt d.\nAnswer: 168*d*k*x + 72*d*x - 6*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451.246074 rounded to the nearest ten?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 + 4*y**4 - 4*y**4 + (-y**2 + 2*y**2 + y**2)*(-2*y**2 - 21*y**2 + 5*y**2) + (33*y**2 - 7*y**2 + 19*y**2)*(3*y**2 - 2*y**2 - 2*y**2).\nAnswer: -80*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 16) to base 14.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/24 + (-12558)\/(-112). Let a = 113 - t. Let k = 11 + -15. What is the nearest to a in -2\/15, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2760*o - 2746*o = 0. Put 4, o, 1, -2, -3 in increasing order.\nAnswer: -3, -2, o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.453 * 2\nAnswer: -38.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(1 - 1\/3). Let r(t) = t - 1. Suppose 5 = -5*g + 2*k, 2*g + 2 = -0*g - 2*k. Let a(x) = 4 - x**2 - 3*x - x + 0*x. Calculate g*a(z) + l*r(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3764, 3925, 4078, 4223?\nAnswer: 4360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + h + 0*h + (1 + 3 - 1)*(0*h + 0*h - h) + (4 + 1 - 6)*(-3 + 3 - 9*h) to w*h + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -47*w**3 + w**2 + w - 2. Determine n(2).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8284, 12670, 17046, 21406, 25744, 30054, 34330, 38566?\n\"Answer: -d**3 + d**2 + 4390*d + 3894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b - 9. Let r = 10 - 7. What is the remainder when 41 is divided by m(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k - 2 - k + 1. What are the prime factors of f(5)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 23*n**2 + 58*n - 73. Calculate t(5).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -330274, -330257, -330220, -330157, -330062, -329929?\nAnswer: -329752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.06 (b) 0.5 (c) -3\/8 (d) -1\/9 (e) 4\/3 (f) 101\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/10 + (-73395)\/(-525) + -86\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*h = 0, 0*h + 5*h + 12 = 4*g. What are the prime factors of (g\/2)\/(1\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -0.8. Let o = -5 - a. Let f = 9.8 + o. Round f to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and -14076.\nAnswer: 197064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*f + f. Let i be (-3)\/(f - -19)*-7. Let r be ((-94)\/90 + i)*5. Which is smaller: -0.7 or r?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 23*n**2 + n - 13. What are the prime factors of a(3)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1337 or 1342?\nAnswer: 1342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*z + 20, 7*z = 3*z - 2*a + 24. Suppose -510 = -4*t + 2*m, 3*t - 442 = -5*m - 53. Let r = 124 - t. Sort z, -5, r, 0 in descending order.\nAnswer: z, 0, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2388 is divided by 334.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4)*(-3 + -1). Suppose n - 3 = y - 0, 0 = 2*y + n + 3. Do y and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r. Let d(a) = 286*a**2. Determine d(i(y)).\nAnswer: 2574*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 2*l**5\/5 + 2*l**3\/3 - l**2 - 2*l + 3. Let c(h) = h**2 - h + 1. Let x(k) = -4*c(k) + 2*t(k). Differentiate x(n) wrt n.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -6\/3223 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -189, 1, -4 in descending order.\nAnswer: 1, -4, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 72\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 34*z**2\/3 - 142*z\/3 + 8 = 0?\nAnswer: 3\/17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -94953, -379738, -854379, -1518876, -2373229, -3417438, -4651503?\n\"Answer: -94928*m**2 - m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -1\/280*b**7 + 3\/2*b**5 - 8*b**4 + 22*b**3 + 0 + 232*b**2 - 1\/10*b**6 + 0*b. Find y, given that c(y) = 0.\nAnswer: -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 - 3*s**5 - s**5 - 22 - 5*s**5 + 22 + (-4*s**2 - s**3 + 4*s**2)*(2 + s**2 - 2).\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4950367 divided by -7\nAnswer: -4950367\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvlvlssdvsd. What is prob of picking 1 l and 1 d?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 15*m. Let b(z) = -19 + 38 - 19 + 2*z**2. Determine b(n(y)).\nAnswer: 2*y**4 + 60*y**3 + 450*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-78 - -80)\/((-2)\/(-8)). Suppose -70 = -z - 67. Solve q + 5*w = -p, 7*q - 12 = z*q + 2*w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 484 in 0.4, -3, 4, -1\/9, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 2*o. Let f be m(1). Let l be 0\/((3 - 2)*f). What is q in 4*q**3 - q**3 - 4*q + 18*q**4 + q**3 - 18*q**2 + l*q**2 = 0?\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0 + 0)*(-56 + 47 - 55)*(5*h + 0*h - 4*h).\nAnswer: 128*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -5*m + 2300 - 2321, 4*a + 39 = -5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1050, -2102, -3154, -4206?\nAnswer: -5258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 33. Find the second derivative of 7*h**2 - 9*h + 4*h + q*h**2 wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 330263 - 330051 = 0 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1\/3*x**4 - 2*x**3 - 11\/3*x**2 + 0 = 0. Calculate x.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1\/n)**(-4) assuming n is positive.\nAnswer: n**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -245 - (-332 + 458)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*h + 71 + 96*h - 71 to the form n*h + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*v - 1104555, -117*v = -112*v - 35. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**4 + 9*d**3 + 13*d**2.\nAnswer: 72*d + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 462294 and 1155735.\nAnswer: 2311470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21227 or 16011?\nAnswer: 21227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 9. Suppose -p*x + 6*x = 2*j + 26, -9 = -x + j. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 6526?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 12\/5, 3\/10, 121, -1, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 + 67 = 13*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -601*n + 1547*n - 582*n - 510*n. Let u(k) = 15*k. Calculate x(u(d)).\nAnswer: -2190*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -49*r + 48. Let c be w(-36). Let v = c + -965. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*k + 116 - 116)*(-10*k + k - k) + (4*k + 3*k - 5*k)*(2*k - k - 2*k) - k**2 - k + k as i + h*k + n*k**2 and give n.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342 (base 5) in base 9?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/95 - -509\/1615. Let d be ((-4)\/(-8))\/1*0. Which is smaller: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 17106 = -925. What are the prime factors of y?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = 4. What is the least common multiple of 18 and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 17.4, 3, 4, 12.11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4948431*n**3 - 4948390*n**3 + 9896809*n**3.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6856.4 days in microseconds?\nAnswer: 592392960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 131*m**3\/3 + 4. Let w(r) = -32336*r + 2*r**2 + 32336*r - 4*r**2. Calculate n(w(c)).\nAnswer: 524*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -59*w**4\/24 + 263*w**3\/6 - 24*w**2 - w. Let j be s(5). Sort 1, j, -2.\nAnswer: j, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**5 - 7*p**3 + 3215*p - 838. Differentiate j(u) wrt u.\nAnswer: 20*u**3 - 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 92391346 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68693677 less than -1286.5?\nAnswer: -1285.81306323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 - 3*x - 1. Let t be o(-2). Let n be 1\/t - 75\/(-9). Calculate the highest common factor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*w**2 - 51*w**2 - 85*w**2.\nAnswer: 50*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*l - 28 = 0, -2*q = -3*l - 0*l + 4. What are the prime factors of 7 - (-1)\/(-4)*q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -61*o**2 - 5*o - 6. Let s(g) = -121*g**2 - 8*g - 11. What is -5*m(q) + 3*s(q)?\nAnswer: -58*q**2 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - s - 62 - 42 = 0, 3*c + 3*s - 306 = 0. Suppose c = 2*r - 177. Suppose r = 5*p - 25. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1056*j - 2114*j + 3*j**2 + 1058*j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbgggfgbgfbbbbb. Give prob of sequence gbb.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 - (-1)\/12. What is the smallest value in z, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -330, -333?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 2. Let r(o) = o + 2. Suppose 0 = n - 6*n + 175. Suppose -16 = n*b - 31*b. Determine b*r(j) + 6*t(j).\nAnswer: 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2. Let q(v) = 12086758*v**2. Give q(o(a)).\nAnswer: 48347032*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.06154969?\nAnswer: 0.24619876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 2)\/((-5)\/((-5050)\/(-3))). Suppose 0 = -3*v - 2*b + d, -4*b + 201 = 2*v - 1143. List the prime factors of v.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1364\/16 + (14\/8 - 2). Suppose -x + 9 = -0. Let j = x + q. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*u + u. Let j be u + 0 - (-3)\/(-3). Suppose 0*z + 2*z = j. Solve z = s + 3 + 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffqoqooooqofffooooq. What is prob of sequence foq?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 7*a - 232. What is the highest common factor of 297 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 491, 980, 1469, 1958, 2447?\n\"Answer: 489*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71152 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2\/89 (c) 0.049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11179 divided by -2?\nAnswer: -11179\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 6*f**2 - 920*f + 7494. Let t be w(8). Factor t*u + 3\/2*u**2 - 15\/2.\nAnswer: 3*(u - 1)*(u + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-15))\/(((-640)\/24)\/(-8))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from -0.222.\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9*(-6)\/(-9))\/(609\/440134450). What is s rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 266, 398, 530?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -37305828 divided by -36?\nAnswer: 1036273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 14*z**2 - 4*z. Let o(c) = -28*c**2 + 7*c. Let i(u) = 4*o(u) + 7*x(u). Let f(r) = -213*r**2 + 419*r**2 - 205*r**2. Determine i(f(t)).\nAnswer: -14*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/5 (b) 21 (c) 6\/13 (d) -5 (e) 3\/7 (f) -238\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90.1 - 94. Let q = 0.9 + b. What is the closest to q in -3\/2, 2\/3, 1\/6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1745*j - 1767*j + 22 = 0. Sort -5, 1.01, j, 0 in descending order.\nAnswer: 1.01, j, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-100)*-6 + (-64)\/(1074560\/(-5767))\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - ((10 - 21) + -13).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0513601597 and -0.07.\nAnswer: -0.1213601597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -86746 take away 160936?\nAnswer: -247682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - f**2 - 1 + (-3 - 2 + 4)*(4*f + 0*f + 3*f)*(2*f + 2*f - 2*f).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 1\/3 (b) -0.6 (c) -4 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*(13 + 0 - -17).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 9 + -4 - 90\/25.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/1 - -1)*(4 + -2). Let o(y) = y**2 + 4*y - 5. Let p be o(-5). Let c = 5 - p. Which is bigger: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5*f*f)\/(f\/(f\/(f\/(f*f**(-4\/5))))) assuming f is positive.\nAnswer: f**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = -7*f - 6, -4*h - 3*f = -7*f + 36 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 + 4*i**4 - 2*i**4 + (6*i**3 + 13*i**2 - 13*i**2)*(2*i + 2*i - 2*i) + 4 - 4 + 2*i**4 - 10*i**2 + 10*i**2 + i**4.\nAnswer: 17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 13419583.78 to the nearest one hundred thousand.\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 417.136 + 0.864. Let f = o - 418.2. What is the biggest value in f, 2\/21, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 - 11*d - 10. Calculate k(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, 0.2, -0.1, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108047\/3 + -36016. Which is the second biggest value? (a) q (b) 9\/11 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = 4*u + 17. Let h = 59 + -108. Let o = h - u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.306879 centuries to decades.\nAnswer: 53.06879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1192062611 to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - 3*k + 13*k + 2*k - 7*k + 3*k + (-17*k + 63*k + 10*k)*(-9 + 3 + 0) to the form c + j*k and give j.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-101)\/606)\/(10\/12).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4 = 3*u, o + 7 = -2*u - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8\/327 + -101\/327. What is the closest to 0.6 in 0, x, 4, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-2)*(-1 + 11). Let g be (4\/n)\/(18\/81). Which is the nearest to -6? (a) 1\/5 (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*g - 310*g - 5*a - 17 = 0, -3*g - 7 = a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44876, -44894, -44918, -44948?\n\"Answer: -3*h**2 - 9*h - 44864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 + -2)\/(-1 + 2). Let a(i) = 4*i - 8. Let t be a(9). Suppose 12 + t = x*s. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17738, 35476, 53214, 70952, 88690?\n\"Answer: 17738*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -125 bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 3*g**2 + 9*g - 8. Let l be v(1). Solve l = -37*o - 7*o + 264 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*p**3 + 20679*p**2 - 12*p**4 - 9386*p**2 - 7929*p**2 wrt p?\nAnswer: -288*p + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 3977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451566869*u + 3*u**3 + 451566869*u.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1070*g**2 - 1262 wrt g?\nAnswer: 2140*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6971601, 13943216, 20914831, 27886446?\n\"Answer: 6971615*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - x)*(2*x**3 + 2*x - 2*x) - x**4 + 0*x**4 - 5*x**4 + 0*x**4 + 8*x**4 - 3*x**4 in the form c*x**3 + v*x**2 + u + h*x**4 + m*x and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 226.9898 to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-171)\/(-190))\/(((-12)\/10)\/(-2)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -22037750 >= -22037753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 16) in base 6?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9357, 9349, 9341, 9333, 9325, 9317?\n\"Answer: -8*q + 9365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nryryryrryrrrn. What is prob of sequence nrr?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7))**(-30))**(-9\/8) assuming j is positive.\nAnswer: j**(135\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 - ((-378)\/(-4))\/9. Suppose 33 = 16*p - 5*p. Let z be ((-13)\/(-2))\/(7\/(-2) + p). Which is smaller: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -195\/4 - -29. Let u be (-6)\/33 + (-4338)\/(-132). Let k = u + -46\/11. Calculate the common denominator of k and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -5\/6*t**3 - 5\/2*t**2 - t - 1\/3*t**4 + 0. Let f(q) = -1 - 6*q - 5*q**2 - 5 + 0. Calculate -5*f(g) + 6*p(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131 + 78. Let c = -114 + l. Suppose -5*j - 5*m = -110, -5*j = 4*m + 29 - 136. Calculate the greatest common divisor of j and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 762432.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.981 + -81?\nAnswer: -81.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -53. Let v = -1 - r. Let p = 16.999945 + v. What is p rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 804\/28006*76\/6.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60 + -24 - 20) + -23?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/5)\/(117\/30 - 4). Suppose 4 = -k - 0, -20 = -q*h + k. Find the common denominator of -37*(4 + (-18)\/h) and -149\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2. Suppose 5*l + 34 = 94. Let r(b) = -l*b - b**2 + 12*b. Determine q(r(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 64\/28 + (-4)\/14. Let g(s) = 2*s + i*s - 5 - 3*s. What is the remainder when 1 is divided by g(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 37*i**2 - i - 37. Let u be q(-37). Let p(l) = -4*l + 145. Is 29 a factor of p(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368623243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 12) in base 7?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8441002 to the power of 1\/2, to the nearest integer?\nAnswer: 2905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 21, 273, -69, -5 in decreasing order.\nAnswer: 273, 21, 2, -2, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 61 = -l. Suppose -4*s + l = 29. What is the second derivative of -s*d**2 + 2*d**3 + 17*d**2 - 3*d wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*j + 4*p - 12, -3*j - 3*p = -12. Let u be j\/(2\/(-1 - 1)). Suppose 3*s + 17 = -4*w, u = 4*s + 5 + 7. Let d(n) = -n**2 + n + 1. Determine d(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38998 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/9 and -43\/190521.\nAnswer: 190521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 112.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 162\/7. What is the nearest to -2\/5 in -3, -3\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2174694 is divided by 23637?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 2 + 5\/18*g**3 + 1\/36*g**5 + 5\/36*g**4 + 11\/2*g**2 + 0*g. Let l(o) be the second derivative of h(o). Factor l(d).\nAnswer: 5*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, -0.2, 0.06, 1, 4\/7 in increasing order.\nAnswer: -0.2, 0.06, 1\/13, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Suppose 8*f + i*w - 480 = 3*f, 2*f + 5*w - 211 = 0. Suppose 0 = -149739*c + 149775*c - 684. Calculate the remainder when f is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 23, 0, -1.\nAnswer: -3, -1, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0 + (0 - 3 + 1)*(-2 - 1 + 4) + 2 + 1 - 1 - 4 + 7 + 4 + 1 + 0 + 1 + 4 - 1 - 2 + (0 + 0 - 3)*(1 - 3 + 7))*(0*p - 3*p + p).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34554?\nAnswer: 2, 3, 13, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 552 - 158. Suppose v*t = 389*t. Solve t*y + 45 = -9*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n*p - 452*n - p - 58 wrt n?\nAnswer: -p - 452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 18 = -r. Let m = 1 + r. Let q be (0 + m\/(-3))*3. Solve 4 = 3*v + g + q, 3 = 4*v - 3*g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.074 * 5.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4225*y - r = -4223*y + 21, -4*y = 5*r + 57 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**5\/60 + g**4\/24 - g**3\/6 + 8*g**2. Let y be q(0). Sort y, 8, -4 in descending order.\nAnswer: 8, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*(1 + sqrt(1872)))**2*2.\nAnswer: 3600*sqrt(13) + 280950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/864*30*32\/(-20) - -3.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -33 + 54 + -1\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 55 = -2*a, 4*a - 2*g = 3*a + 20. What is the smallest common multiple of 2 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1\/9, -0.4, 4, -2, 5 in increasing order.\nAnswer: -2, -0.4, -1\/9, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yicicbccccccsbcccc. Give prob of picking 3 c and 1 i.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 313420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114434563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -582234, -2328985, -5240236, -9315987, -14556238?\nAnswer: -20960989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from {z: 2, d: 7, y: 1, j: 3, k: 4}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1349895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 612, 1253, 1926, 2631, 3368?\n\"Answer: 16*y**2 + 593*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-32))\/((-1)\/(836\/(-66))).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2786 - -2786.4. Let s = 17 - 15. Let b = s + 3. What is the nearest to 1 in b, -3\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 23. Suppose n*k + k + t = 69, -3*k + 5*t + 69 = 0. Let i(j) = 7*j - 2. Let x be i(3). Which is greater: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -7*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oygkhhmk. What is prob of picking 1 m, 1 k, and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102 (base 3) in base 6?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -175*i + 49. Let d(c) = 11*c - 3. Give 98*d(r) + 6*g(r).\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*q - 52 = -270*q. Suppose -z = 3*z - 2*c + 18, -4*c = 3*z + 19. What is the units digit of q\/z - 1100\/(-125)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 6. Let q be p(7). Find the third derivative of -1 - 18*t**3 + 8*t**3 + 8*t**2 + q wrt t.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 497 + -501. Let x = -11 + 15. Which is the second biggest value? (a) x (b) y (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39814171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3836 and 5206.\nAnswer: 72884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (20*10\/(-90))\/(6\/(-13257)).\nAnswer: 2, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -51*g. Let i(c) = 114*c - 58*c - 25*c + 5*c**2 - 31*c. Give y(i(s)).\nAnswer: -255*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000572176676 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 2747330400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2386037*z**2. Let m(h) = -11*h**2. What is m(r(j))?\nAnswer: -62624898219059*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*r = -26, 2*x + 2*x + 3*r = 8. Sort x, -0.5, 1\/8, 0.23 in decreasing order.\nAnswer: x, 0.23, 1\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*w**6 - 407*w**5 - 609898*w**2.\nAnswer: 1680*w**3 - 24420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 = 3*l. Suppose u + 269 - 105 = 5*v, 5*v - l*u - 168 = 0. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 16a34?\nAnswer: -16a2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t - 2*t - 4 - 4*t. Let c(y) = 14*y - 172. Let k be c(10). Let j be ((-304)\/26)\/(-2) + k\/(-208). What is o(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-3) - 0 - 1. Suppose 0 = 2*u + 2, 0 = 3*a - g*a + u - 20. Suppose i - a - 6 = 0. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 less than or equal to -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2968349 = -84*o + 3663703. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4913 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 3*b**2. Let z be c(3). Suppose z = 3*y + 5*t + 25, -5*y - 8*t = -3*t + 35. What is the second biggest value in y, 2\/11, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.2083 + 3.2. Round p to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.96 times 0.5\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (31\/23188*-17)\/(4\/(-22))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2331 + -2325. What is the closest to -2 in c, 1.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:20 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 4:02 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -481\/6 - -80. What is the fourth biggest value in -5\/6, 0.1, 0.4, x?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 3*f**2 - 2*f - 1. Let t(v) = 3*v**3 + 6*v**2 + 5*v + 1. Let i(w) = 5*r(w) + 3*t(w). Calculate the remainder when 23 is divided by i(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -358 and 1.8.\nAnswer: -356.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*((sqrt(99) - (sqrt(99) - (sqrt(99)*-2 + sqrt(99)))) + sqrt(99)) - sqrt(99))\/(sqrt(144)*-4) - (1 + ((-1*sqrt(132)*-2)\/(sqrt(24)\/sqrt(2)*-2))**2).\nAnswer: -12 + sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 15992*y + 79868. Calculate v(-5).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-33)*((-68)\/(136000\/125))\/(2\/72)\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 387835778.3 from -1378.\nAnswer: -387837156.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5781 is divided by 5650?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-5))\/(4 - (-162)\/(-45)). Let f(y) = 5*y**2 - 3*y - 2. Let w be f(-2). Solve -z*s + 27 = w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1360 - -1920. Let b = 9096 + -9076. Calculate the highest common factor of f and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 9:39 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - ((2 - -21) + -11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 23 = 5*j, 3*s + 2*j + 0*j = 18. Let q = -2 + s. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -3*d**8\/112 + 17*d**7\/35 + 71*d**6\/120 + d**5\/5 + 47*d**2 + 2*d. What is z in x(z) = 0?\nAnswer: -1\/3, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/4)\/(2\/(-4)). Suppose 2*z - a*u - 24 = -0*z, -5*u = -z + 22. Solve z - 22 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.044 + 0.056. Let q = 4.06 + -0.06. Which is the closest to -1\/3? (a) s (b) q (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 250 + 271 = 5*d, 2*a = -3*d + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**3 - 5 - 1 - 2 wrt g?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/9 and -107\/126678.\nAnswer: 380034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**4\/9 - 148*u**3\/9 + 73*u**2 - 548*u\/9 + 128\/9 = 0.\nAnswer: 1\/2, 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -7*r + 3*r + 2, -5*b + 3*r + 16 = 0. Let p be (-3 + 1)\/((-6)\/9). Suppose -17 = -0*v - p*v - b*z, 5*z - 10 = -v. Solve -v*n - 26 = -6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j - 164 + 164 - 3*j.\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 189\/48)\/((-110)\/(-20)*96\/352)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*v**2 + 246 - 8*v + 10*v**2 + 4*v - 40*v**2 + 8*v**2 as j*v + q + a*v**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -48. Let h be (-262160)\/35 - ((-48)\/i - 2). What is h rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 7 + 11 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x**3 - 4*x**2 - 92*x + 88. Let k(o) = o**2 + 23*o + 1. Calculate -g(f) - 4*k(f).\nAnswer: -8*f**3 - 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.889889 millennia?\nAnswer: 46678.668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3823644257 to the nearest integer?\nAnswer: 61836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -12*u + 63*u + 35 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -16239, 1\/4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + q + 11 = -0*x, -15*q - 273 + 333 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 n when four letters picked without replacement from {n: 5, e: 3, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1525 (b) -0.15 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ygrxtxhhgrrhgtthyt. Give prob of sequence rry.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + s + 1. Let y(b) be the first derivative of -3*b**4\/4 - 8*b**3\/3 + 5*b**2 - 14*b - 29. Let k(g) = 5*c(g) + y(g). Let k(j) = 0. What is j?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/13 (b) -2\/15 (c) -5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 17*t**6\/60 + 11*t**3\/2 + 8*t**2. What is the first derivative of n(o) wrt o?\nAnswer: 102*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -20 (b) 2\/13 (c) -2\/3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74531 is divided by 3952.\nAnswer: 3395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150 + 320. Calculate the common denominator of (f\/(-120))\/(6\/(-4)) and -58\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 116*m**2 + 3*m + 113*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3320 - 480. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.29256, -3, -0.004, 3, 0.2?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**3 + 3*x**2 - 6*x - 7. Let r(i) be the first derivative of i**4\/4 + i**3\/3 - i**2 - 2*i + 9. Calculate -2*k(s) + 7*r(s).\nAnswer: s**3 + s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 734 * -0.06\nAnswer: -44.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 13*a + 20 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -14*l - 14. Let j be a(-6). Calculate the greatest common factor of 20 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(20\/(-40))\/((-3)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f + 4. What is the second smallest value in -1\/3, f, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1639 - 0.162?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 5*j + 2 = 0. Let p be 26\/10 - (-8)\/20. Sort j, p, 1 in decreasing order.\nAnswer: p, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57295827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 20 + 84 = 0. What is the greatest common factor of 288 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -3.5. What is the biggest value in 0.3, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.236051 to 3 decimal places.\nAnswer: -0.236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31597 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*n + 21800*h - 21801*h, -3*n + 4*h - 124 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*n - 25, 2*r + 5*n - 205 = 7*r. Let g = -38 - r. Solve -4*i + 3 - g = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 454 - -1?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 - (10 + (5 - 11 - 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 377 + -336180340\nAnswer: -336179963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23, 13, 3, -7, -17, -27?\n\"Answer: -10*m + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**4\/2 + 11*i**3\/3 + 3*i**2\/2 + 14*i - 1594. Let f(o) = 2*o - 4. Let j be f(5). Let s be b(j). Sort 0, s, -7, -2.\nAnswer: -7, s, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 + -255. Let s = t - -196. Let f = s - 36. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002722197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115075 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -31. Let r be (-5)\/2*16\/f. Let z = 4 - 4.4. Which is the closest to r? (a) 1\/4 (b) z (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133313 + 0?\nAnswer: 133313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.536 to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -32500, -64997, -97494, -129991, -162488, -194985?\n\"Answer: -32497*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*j - 2*j - 5 - 12*j - 10*j to f*j + g and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 38.5. What is the nearest to -1 in -1, w, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4014*m**2 - 8027*m**2 + 4015*m**2. Let k(l) = 5*l**2 - 4. Let j(s) = 36*s**2 - 27. Let d(f) = -4*j(f) + 27*k(f). What is d(a(n))?\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 26*v + 3. Let d(r) = 50*r + 4. What is 5*b(z) - 3*d(z)?\nAnswer: -20*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4978, -5256, -5534?\n\"Answer: -278*a - 4700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289183 is divided by 618.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from aoqqhymy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2.95. Let r be (4\/14)\/(2\/(-2)). Let k = -6\/6101 + 12280\/79313. What is the nearest to r in p, k, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, z: 2, p: 3, a: 2, v: 10, n: 1}. What is prob of picking 1 a and 1 n?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-3\/7))**(-9))**(7\/3))**(1\/6) assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + s - 12 - 13 = 0, -p + 24 = 4*s. Let o be ((-10)\/p)\/((-1)\/2). Solve 0*b + 4*b + 20 = -o*q, 5*q = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s**2 - s + 1. Let z(r) be the first derivative of r**3 + r**2\/2 - 2*r + 418. Determine -2*d(m) - z(m).\nAnswer: 2*m**3 - m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.86 - 0.14. Let h = k + 5. Let i = -2173\/7 + 311. What is the closest to 0 in i, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -122*k - 362. Let n(s) = 11*s. What is 22*n(g) + 2*x(g)?\nAnswer: -2*g - 724","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - b**2 - 3*b**2 + 2*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(10\/9)))\/l**(-3\/4))\/(l*l**12\/l)**41 assuming l is positive.\nAnswer: l**(-17645\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 7*p + 11. Give i(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 540.0371cm?\nAnswer: 0.005400371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 564 and 799.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -202 + 836. Let y be b - -2 - (9 - 7). Suppose -t**2 - 5*t**2 - 632*t**3 + y*t**3 = 0. Calculate t.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 (base 11) in base 6?\nAnswer: -543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -332 and 4.\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m + 3*m)*(3 - 1 - 1) + 0 + 0 + m + 0*m - m + 0*m + (8*m + 2270 - 2171 - 4*m)*(3 - 4 + 4).\nAnswer: 14*m + 297","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172 and 87814127?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-5)\/(-3) + -1). Which is the smallest value? (a) 0 (b) z (c) 4\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26506973 is divided by 1028?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/((-25)\/6))\/(-16)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y - 73. Let z(n) = -3*n + 75. Give 5*u(j) + 6*z(j).\nAnswer: 2*j + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/(-34) - (-2)\/4. Solve 0*k + v = 2*k - 2, 4*k + 3*v + 16 = i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2413 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.88734 + 21.9873391. Let b = -0.1 + n. What is b rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10657, -8665, -5353, -727, 5207, 12443, 20975, 30797?\nAnswer: 41903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -3*w + 5*w + 1, 0 = 4*w + 5*d + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (-3*sqrt(102)*6 - sqrt(102)))\/(sqrt(726)*1).\nAnswer: 20*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 5*s**2 + 6*s - 5. Let z be c(5). Let v = 202 + -162. Let m be 300\/9*30\/v. What is the greatest common factor of z and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27709 and 229.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02373? (a) -8\/7 (b) -1 (c) 20\/3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -247? (a) -0.5 (b) -0.1 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 not equal to -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 3, -3, -2\/3, -0.6, -13008\/29?\nAnswer: -13008\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*g = 180*g - 99*g. Let v(s) be the third derivative of -3\/20*s**5 + g*s - 18*s**2 + 0*s**4 + 0*s**3 + 0. Let o(x) = 2*x**2. Calculate v(o(j)).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7512 - -8968. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95824.25 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52878 + -52884. Let p(f) = -f + 5 - 1 + 2*f + 1. Calculate p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 134503000 + 32?\nAnswer: 134503032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*b + 79 - 79 to the form c*b + i and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 - 162 = 2*c, 6*o = -c + 54. Factor -128*n - 48*n**2 - o*n**3 - 1\/2*n**4 - 128.\nAnswer: -(n + 4)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100230 and 70423140.\nAnswer: 7710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(-4)\/6*1. Suppose -n - 25 = p + a*n, -4*p - 15 = 3*n. Suppose 9*k - 4*k - 30 = p. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 1:48 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 20, i = -6*z + z + 2498. Let r = i + -1469. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + ((-45)\/(-27))\/(4\/(-12)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -323*z**2 - 168*z?\nAnswer: -646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.187 + -0.013. Let t = -0.3 + 0.8. Let u = -23\/84 + 1\/42. Which is the closest to u? (a) t (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 477386*d**3 - 38*d**2 + 120?\nAnswer: 2864316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -123, -139, -189, -291, -463, -723?\n\"Answer: -3*n**3 + n**2 + 2*n - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 500.24 and 10950.\nAnswer: 5477628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/(-10)*(-4)\/(-5) + 4. Solve 7 = h*o - 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 6*m = 20, -3*x - 2*m = -8 + 27 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 - 57*z + 195. What is n(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-10*(-6)\/(-4). Let g be ((-10)\/(-15)*u)\/2. Which is smaller: g or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 7368\nAnswer: 1\/2456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 515686776 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2. Let x(j) be the third derivative of j**6\/360 - 2*j**3\/3 + 8*j**2. Let l(s) be the first derivative of x(s). What is l(u(r))?\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13 + -17 - (-114 + 0). Let f = j + -106. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*((sqrt(847) - 1*sqrt(847)) + sqrt(847)) + -2 + sqrt(847) + 1) + -4)*4.\nAnswer: -12 + 220*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, m: 1}. What is prob of picking 1 s and 1 m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 1.635 in decreasing order.\nAnswer: 4, 1.635, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -231 - -362. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426.9525 litres to millilitres.\nAnswer: 426952.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wabb when four letters picked without replacement from wabaabb?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-20))\/(3\/(-3))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8553, 8515, 8477, 8439, 8401?\n\"Answer: -38*j + 8591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:03 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 172*s - 3343. What is the hundreds digit of p(65)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.123 and 2.03.\nAnswer: -0.24969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**8\/1120 + i**7\/36 - 2*i**6\/45 - 89*i**5\/60 - 103*i**2. Let y(q) be the third derivative of f(q). Solve y(s) = 0.\nAnswer: -8, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkzzkkzkk. Give prob of picking 3 k.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 14*a - 15*a - 3)*(-2*a**3 + 6*a**3 - 2*a**3).\nAnswer: -58*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 12*g - 5. Let h(w) = -w. Let d(m) = -c(m) + 2*h(m). Is d(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 times -0.1\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*y + 3561879 - 3561855, 5*v - 11 = 3*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.160416 and 11.\nAnswer: 1.764576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 222*k**2. Let z(s) = -s. Determine z(y(h)).\nAnswer: -222*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 314724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/20 and (-16)\/24 + 482\/120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -85*m + 15. Let t(y) = -42*y + 6. Let s(d) = 5*t(d) - 2*z(d). Let q(o) = 15*o**2. Calculate s(q(r)).\nAnswer: -600*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 4:09 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760943805 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 8)*(0*g**2 + 0*g**2 - g**2) + (1231 - 1231 - 14*g)*(3 + 9 + 19)*(-4 + 4 + 2*g) to the form j + o*g**2 + m*g and give o.\nAnswer: -873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1763 - 412 = 49*l + 569 for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 95*o**3\/3 - o**2 + o - 33. Does 11 divide y(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7933941.\nAnswer: 3, 53, 16633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*b - 28*b + 18690. Let v = 626 + b. Solve -3*c + 2*y + 2 = 0, c - v*y = -3*c + 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/4*-1*1*182\/(-21)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 255*o + 9454. Give l(45).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -27. Suppose -215 = 17*q + 159. Let d = q - m. Calculate the smallest common multiple of 14 and d.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 941 * -100045\nAnswer: -94142345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1737.1897+21\nAnswer: 1758.1897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24484\/1860 - ((-14)\/(-4))\/7. Let o = g - -1\/310. Let h be 80\/6 + 6\/(-18). Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 434 - 397. Calculate the highest common divisor of z and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37.1 + -33.1. What is the fourth smallest value in l, 3, 3\/5, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -9*o + 7*o - 0*o + 16, 2*o + 4 = 3*o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is c4c (base 15) in base 3?\nAnswer: 10210200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0687 and -0.02.\nAnswer: 0.0487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.765 + 6.665. Sort v, -0.65, -0.5 in descending order.\nAnswer: v, -0.5, -0.65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7748 - -7794. What is the highest common divisor of 667 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*b**4 - 1728*b**3 - 2492*b**2 - 540*b - 32 = 0.\nAnswer: -1, -1\/8, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*q**3 - 2*q + 230*q**3 - 120*q**3.\nAnswer: -7*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -0.311, 0.12, -412, 2 in ascending order.\nAnswer: -412, -5, -0.311, 0.12, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*w**5 - 5*w**4 - 1165*w**3 - 1780*w**2 + 1500*w + 2160 = 0. Calculate w.\nAnswer: -4, -2, -1, 9\/8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**4\/12 + 26*x**2. Let m(b) = -10*b + 14. Let w(n) = -2*n + 3. Let t(o) = 3*m(o) - 14*w(o). What is t(l(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d**3 - d. Let w be j(1). Suppose 0 = 3*r + 3, 342*z - 19 = 340*z - 5*r. Let t = z + w. Calculate the greatest common factor of 63 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = v - 12, 1 = 2*v + 3*m + 13. Suppose v = -5*k + 3*g + 1039, g = -4*k + 1032 - 194. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*t**4\/11 + 1782716*t**3\/11 - 4112610*t**2\/11 + 2372400*t\/11 = 0 for t.\nAnswer: 0, 15\/13, 5272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -424 + 423.8. Let q = 0.01 - 5.01. Let r = q + 4.5. Which is the third smallest value? (a) r (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 2*h**2 + 2*h - 3. Let v be ((-3)\/(-2))\/((-2)\/4). Let d be a(v). Let o be 3 + -2 + (d - -1). Calculate the highest common divisor of 18 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17107124?\nAnswer: 2, 23, 185947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 15, q: 3}. What is prob of picking 2 q?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miimiiimmmfmmimiif. Give prob of picking 2 f.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1356.\nAnswer: 4068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15411 (base 6) to base 15\nAnswer: -b37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3301 - 561. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + y, 37*m + 3*y = 32*m + 2. What is the nearest to m in 6, 2\/3, -5, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - x + 1 = 0, 2 = 3*j - 2*x - 7. What is the first derivative of 3*t**4 - t**4 - 1 - j wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - t + 18. Let o be f(0). Suppose -5*g + 5*k = 0, g + 14 = 6*g + 2*k. Suppose 5*z = g*q + 2*q + 75, 3*z - o = -3*q. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -819*y**5\/20 - 1332*y**2. Let r(k) = 2*k**2. Determine x(r(z)).\nAnswer: -9828*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14616 and 232.\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.048259 grams to milligrams.\nAnswer: 3048.259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 4\/52960089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 792*d**3 + 7186*d**2 + 516*d - 30. Calculate q(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in -0.4, -297, -6, 4\/3, -4\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1112*u + 1044 = 996*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2066000 and 58250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/v**(-2\/11)*v**(-1\/9)\/v*v*v**(2\/7))**(-1\/3) assuming v is positive.\nAnswer: v**(2525\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668179?\nAnswer: 668179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/8, 1\/17, 0.138, 4.\nAnswer: -2, 1\/17, 0.138, 3\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -1 - 7*w**2 - 974*w**3 + 973*w**3 + 5 - w**2 - 6*w. What is n(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 7*h**4 + 5*h**3 - 2*h**2 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 - ((-10 - -2) + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7057, 2, -9198 in descending order.\nAnswer: 2, -7057, -9198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.249 - 0.049. Let s = 7.4 - 7.2. Let r = g - s. Which is the biggest value? (a) -2\/15 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -211\/10 - -21. Is q not equal to 1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-30) - 20553\/(-765). What is the greatest common divisor of o and 432?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-2)\/(-4)*5\/(-5). Sort -2, 4, j in decreasing order.\nAnswer: 4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 3:56 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - (1 - -2)) - 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/7 - -1)*(1 - 231). Let d = z - 24. List the prime factors of d.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/4)*s**(1\/16))\/((s*s*s**(2\/7))\/((s*s*s*(s**(3\/2)*s)\/s)\/s)))**(-1\/9) assuming s is positive.\nAnswer: s**(-283\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q = 3*q - 120 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.052 + -0.052. Which is the nearest to u? (a) 0.4 (b) -5\/4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-348549)\/11983 - 29*-1.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3668025cm?\nAnswer: 3.668025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75252, -150504, -225758, -301014?\n\"Answer: -d**2 - 75249*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 12. Let s be l(-8). Let p = 29 + s. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10388, 43139, 97724, 174143, 272396?\nAnswer: 392483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 752589.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 663 - 663 - 10*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3120 (base 5) to base 6.\nAnswer: -1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272544525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -71.44\nAnswer: 6.4296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.68 + -14. Let c = 13.68 - r. Let f = -16 + c. Put f, 1\/2, -0.1 in descending order.\nAnswer: 1\/2, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -22, -144, -3871, -5 in ascending order.\nAnswer: -3871, -144, -22, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (204 + -201)\/((-2)\/(-19364))?\nAnswer: 2, 3, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10329 divided by -3.\nAnswer: 3443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x + 404998 = 405159. Solve 5*t - 13 = -209*j + 211*j, -2*j + 3*t - x = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1599188.2 and -2386.104?\nAnswer: 1601574.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 50*k = -34 + 103, -3*q - 2*k = 3*k - 62 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8*(5\/(-50)*4)\/(4\/5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 222861433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(4\/15)))\/l)\/l)\/(((l\/((l*l**19)\/l))\/l*l)\/l) assuming l is positive.\nAnswer: l**(251\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 711061 (base 8) to base 12.\nAnswer: b3529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*c + 5*s + 6, s - 14 = -2*c. Which is smaller: c or 8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1514344, 1513908, 1513472, 1513036, 1512600?\n\"Answer: -436*q + 1514780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.32 and -0.0679.\nAnswer: -0.021728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**2\/2 - 5*j - 41. Let q = -55 + 63. Give b(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 225, 504, 895?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-78)\/10*(-28)\/(-21). Let a = v + 213\/20. Factor 0*t + 1\/4*t**2 - a.\nAnswer: (t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 11*a + 2. Suppose 0*y - 3*v - 141 = -4*y, -3*v + 24 = y. Suppose -y = w - 4*w. Let r be g(w). Solve 5*o = -5*t - 10, 10 = 3*t + r*t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7749 - 441.\nAnswer: -8190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 6) to base 14\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1433367, 5733446, 12900233, 22933722, 35833907, 51600782, 70234341?\n\"Answer: -q**3 + 1433360*q**2 + 6*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/u**(-2)))\/(u**(-1\/6)\/u))\/(u**0)**17)**33 assuming u is positive.\nAnswer: u**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**3 + 4*l**2 + 2*l - 3. Let n(t) = 17*t**3 - 17*t**2 - 9*t + 12. What is -9*a(d) - 2*n(d)?\nAnswer: 2*d**3 - 2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/13)*t**9)\/((t*t*t*t**2*t*t)\/t)**(4\/7) assuming t is positive.\nAnswer: t**(521\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) -0.9 (b) -2 (c) -1.456 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1 (b) 3 (c) 16 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 119\/2*((-1092)\/49)\/(-13). Let v be g\/(-4)*34\/(-119). What is the second smallest value in 0.3, 3, -5, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + k = -k + 42, 60 = -5*h - 4*k. What are the prime factors of ((-18)\/(-4))\/((-3)\/h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -761 + 414. Let m = 1389\/4 + z. Which is the nearest to 2? (a) m (b) 47 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 867*s**4 - 3157*s**2 - 40933*s - 6 wrt s?\nAnswer: 10404*s**2 - 6314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a + 3310. Let u = a - -2042\/3. Solve -50\/3*l**5 + 140\/3*l**4 + u*l**2 + 0 - 46*l**3 - 8\/3*l = 0 for l.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b + 7. Let i(v) = 4*v + 6. Calculate -2*h(l) + 3*i(l).\nAnswer: 6*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/10)\/p*p**(-2\/27))\/(p**(-2\/17))**(-10) assuming p is positive.\nAnswer: p**(-9871\/4590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 9:23 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d + 3. Let g = 14 - -10. Suppose 0 = -q + 4*m - 15, 0 = -q - 0*q + m - 3. Let v(b) = -1 + g*b - q - 29*b. Determine -3*o(s) - 5*v(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 6*y**2 - 3*y - 5. Let d be q(5). Suppose 13 - 1 = -5*i + 3*s, -20 = -d*i - 5*s. Solve i = -4*o - 4*u - 4, -19 = 4*o - 3*u + 2*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175 + -171. Suppose -6*k = -k - 15. Solve -o*f - 1 = -k*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 266.2 and -105?\nAnswer: 371.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/((2*-1)\/((-1098)\/549))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 64 = -2*z + 79, -9*x + 4*z = 427 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(425)*-2 - sqrt(425))*-1 + (1*(-4 + sqrt(425) + 1 + sqrt(425) - sqrt(425)))**2)*2.\nAnswer: -30*sqrt(17) + 870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50350.67 hours to minutes.\nAnswer: 3021040.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) + 24\/10. Solve -4 = -g - g - 4*a, 4*g = -3*a - b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7803859\/35212 - -1\/70424. Let u = 222 - i. Is u < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -13*b + 5. Is 50 + (-3 - b\/(-1)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1 - -5) + (5 - 3) - -7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 5*q + 1. Let j be a(4). Suppose 0 = y - 3 + 6. Let x = y - -5. Solve 0 = x*k + j + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -112*v - 2416. Let t be r(-26). What is the greatest common divisor of 217 and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*d - 5 + 5 + 91*d.\nAnswer: 153*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-24)*1\/(12\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 0*t - 3 - 3*t + 2*t. Let u be v(-6). Solve 0 = -3*o + 6 + u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**2 - 1\/8*d**4 + 32 - 3*d + 1\/2*d**3 + 1\/80*d**5. Factor r(g).\nAnswer: (g - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.1. Let i(r) = 11*r**2 + 4*r + 2. Let f be i(-1). Let d(q) = -q**2 + 9*q + 6. Let a be d(f). What is the second biggest value in x, -2\/5, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*z**4 + 21*z**4 + 31*z**4)*(0 + 1 + 0) - 8*z**4 + 0*z**4 + z**4.\nAnswer: 34*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20 - -7)*-1*1. What is the remainder when 36 is divided by c*1 - (42\/(-7) + 6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2. Let q(d) be the third derivative of d**7\/2520 + d**4\/24 - d**2. Let n(z) be the second derivative of q(z). What is b(n(j))?\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**3 + 3*i + 2. Let l(b) = -3*b**2 - b**3 + b**2 + b - 189 + 190 + b**2. Give -2*l(m) + y(m).\nAnswer: -2*m**3 + 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 537\/99 - (5 + (-2 - -1)) and -74\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*c - 50 = -8*y, -2*y = -c - 5. Let s(u) = -2*u + y - 1 - 4*u**2 + u**3 + 4*u. What is the smallest common multiple of 8 and s(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -8*v. Let q(r) = 7*r + 89. Let a be q(-11). Suppose v = -a*d + 18*d - 486. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3242401 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 1053748323.753859?\nAnswer: 1053748323.753859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/3, -0.2, -26, -14.22 in increasing order.\nAnswer: -26, -14.22, -1\/3, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**4\/4 + 25*w**3\/3 + 23*w**2 + 2*w + 42. Let j be v(-23). Solve 0 = s + 5*x + 6, 2*x + 4 = -j*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 10*r. Let j(h) = -10*h + 9*h**2 - h**2 - 7*h**2 + 3*h + 1. Let z be j(7). Let g(w) = 2*w + 0*w - 3*w - 3*w + 3*w. Determine z*a(y) + 6*g(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600*l + 576*l + 470*l - 1580*l.\nAnswer: 66*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03272 + 0.16728. What is the fourth biggest value in 0.1, -164\/29, v, -1?\nAnswer: -164\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62480977 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 1 + sqrt(1573))*-6)**2.\nAnswer: -3168*sqrt(13) + 57204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 + -18632?\nAnswer: -18632.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00020517855 to six decimal places.\nAnswer: 0.000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 (base 6) in base 7?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 3*v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 22*y + 1 - 2 + (0 - 3 + 2)*(0 + 0 + 2*y) + 1643 - 1643 + 211*y.\nAnswer: 187*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(42\/46) - 10\/(-30) and 79\/10 + (2 - 2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 11069108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.20496 years in months?\nAnswer: 1010.45952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umm when three letters picked without replacement from {m: 2, u: 5, d: 3}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64008283*m**2 - 25827232*m wrt m.\nAnswer: 128016566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.48 + 0.22. Let g = 399 + -383. Let t = f - g. Put 4, t, 6\/5 in decreasing order.\nAnswer: 4, 6\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + (sqrt(5) + -4 + 5 + sqrt(405)*4)*3*-4))**2.\nAnswer: 119880*sqrt(5) + 8873145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Let c(f) = 2*f**3 - 2*f**2 - 1. Let q = 0 + -2. Let k be (-3)\/q*8\/(-12). Let m(l) = -l**2 - 1. Calculate g*m(n) + k*c(n).\nAnswer: -2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 43*r**8\/28 - r**4\/6 + 5*r**3\/3 + 16*r. Find the third derivative of f(m) wrt m.\nAnswer: 10320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.036 + -58.036. Let g = o + 58.5. What is the second biggest value in -1, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 380 - 380. Solve 2*x - 2*g = -0*x - 2, 5*g + 10 = w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/407445 and 63\/29900.\nAnswer: 105935700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 14*b - 9. What is k(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4214373719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*w**2 - 2*w**3 + w + 849 + 4*w**3 + 29*w**2 - w**4 - 851 as v + r*w**2 + i*w**3 + m*w + y*w**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 5, 0.126 in increasing order.\nAnswer: 0.126, 5, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w**2 - 4*w. Let k(y) = y**2 - 5 + 5 + 0. Suppose 14*i + 1261 - 141 = 0. Let b(t) = i*k(t) - 5*v(t). Find the second derivative of b(o) wrt o.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 741, 1, 14, -11.\nAnswer: -11, 1, 2, 14, 741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -79 + 65\/3*x**3 + 0*x + 65\/2*x**2. What is the second derivative of m(i) wrt i?\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4 + (6 + 5 - -130)\/(-3 - 12)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24\/505 + 2237\/6060. Let i(s) be the third derivative of -8\/3*s**3 + p*s**4 + 8*s**2 + 0 + 0*s. What is the derivative of i(k) wrt k?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1058*o**3 + 1554938*o**2 - 567414222*o - 2876076810.\nAnswer: -2*(o + 5)*(23*o - 16959)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2685\/1611)\/(10\/(-48))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24920 divided by -356\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.781764 + -246.191336. Let z = k + 250. Let h = 0.021 - z. What is h rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3826872 and 3826857 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.242 - 18.212. Let r = m - 0.03. Let w = 18.0014 + r. Round w to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d = 120*d - 2136. Let x = -2 + 2. Suppose n + 3*n + 32 = 2*q, x = -2*q - 2*n + 32. What is the highest common divisor of q and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6, 2*b + 2*y = -0*b - 756. Let t = b + 1233. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/1177? (a) -2 (b) -2\/19 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1729 and 39.\nAnswer: 5187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 24*f - 6. Let q(u) = -5*u + 1. Let z(a) = 22*q(a) + 4*y(a). Let s be z(-3). Suppose 4*j = 3*i + s, -5*i - 2 - 18 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnff when four letters picked without replacement from {n: 8, f: 3, h: 7}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1315 in -0.7, -4, 2\/5, -0.052, -3\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:39 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10777 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 0*u + u = 2*w - 10, -16 = -2*w + 4*u. Suppose 4*c - 26 = 2*i, -7 = -w*i - 27. Solve c = -5*z + 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/6 + q**3\/6 - q. Let p be (10 - (1 + 3)) + -4. What is o(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2. Let z(a) = -3*a**2 + 5*a - 5. Let o(r) = -r**2 + 2*r - 2. Let d(g) = -10*o(g) + 4*z(g). What is d(c(u))?\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojllotjlallmj. Give prob of sequence jl.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19189 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtgggtcmogmmcoccctg. Give prob of sequence oc.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(40)\/sqrt(2) + 4 + 2*sqrt(2420) - ((6*sqrt(90)\/sqrt(2))**2 - ((1*sqrt(605))**2 + 5 + sqrt(15)\/sqrt(3))).\nAnswer: -1005 + 47*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -53743167 (base 8) to base 14\nAnswer: -175c171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29.0133 + 125.9037. Let j = 155 - i. Round j to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - r - 4 + 2 + 18 - 11*r. Let j be v(11). Sort 0.4, 1, -6, j.\nAnswer: -6, 0.4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 197.133 - 197. Let h = 5.167 + m. Let j = 5 - h. What is the nearest to 0.1 in 0.3, j, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 103*i + 2677. Let m be w(-26). Which is the third smallest value? (a) m (b) 3\/5 (c) -93\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 455 in ascending order.\nAnswer: -3, 5, 455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 + 6*n**2 + 13*n**3 + 3221947*n - 3221947*n.\nAnswer: 13*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 191903, 191932, 191981, 192050?\n\"Answer: 10*p**2 - p + 191894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1347 is divided by 141?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 14*u - 8. Let p = -245 + 266. Let q be -35 + p - (-14)\/2. Calculate s(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*x**4 - 364*x**3 - 22*x**2 - 8*x wrt x?\nAnswer: 120*x - 2184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 16. Calculate the lowest common multiple of a and (0 - 2) + 15 + 1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837902047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*r, 4*d + 2*r = d - 7. Let i(m) = m**3 + 5*m**2 + 2. Let n be i(d). What is the second derivative of 12*v**n - 4*v - 26*v**2 + 11*v wrt v?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(13) + sqrt(208)) + 1 + sqrt(1872) - (sqrt(1300)*2)**2*3.\nAnswer: -15599 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -127099*r - 1737461*r - 1112431*r + 1015825*r - 2356810*r + 120. Let l be i(-5). Round l to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2 (b) -8 (c) 4\/123 (d) 1\/8 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -4 - (-147)\/(-24))*-10.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -48\/5, -3, -4, 0.1, 1\/4, 1274?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 + 9*u**2 - 4*u. Let p(j) = 5*j**3 - 17*j**2 + 8*j + 1. Let v(q) = -11*n(q) - 6*p(q). Is v(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*f**4 - 2*f**3 - 50*f**4 - 1 + 20*f**4 + f in the form i*f + c + w*f**2 + b*f**4 + n*f**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*b*q**3 - 2*b*q**2*u + 24*b*q**2 + 3*b*q*u**4 + b*q*u**2 - 322722*q**3*u**4 + 4*u wrt u.\nAnswer: 72*b*q*u - 7745328*q**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -422 (base 13) to base 11.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117378502?\nAnswer: 2, 58689251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747536 is divided by 62287.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10233302 - -10?\nAnswer: 10233312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14101 divided by -576\nAnswer: 14101\/576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51506941069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v = 63*v - 126*v + 357 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 33*x - 88. Let t be b(3). Does t = 239\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o = -2*j - 24, 4*j = -3*o - 44. Let v = -8 - j. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8783 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240 = -222*v + 214*v for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9534202 is divided by 155?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*-2 + sqrt(1053) + -4 - sqrt(1053) - (sqrt(1573)*1 + sqrt(1573))*-5)**2.\nAnswer: -736*sqrt(13) + 110048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*w**2 - 20098151 + 20098151 + 3*w**3.\nAnswer: 3*w**3 + 461*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33379437\/316 + 105631. Calculate the common denominator of 3\/7 and h.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 17*p - 5. Suppose 0*w + 2*w = 4*j + 2, 0 = j - 2*w + 8. Let a(t) = 4*t - 1. Let c(g) = -g**2 + 3*g + 1. Let y be c(5). Determine j*f(h) + y*a(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -2.51 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/4))**(2\/51)*(u*u**0)**(-15\/11) assuming u is positive.\nAnswer: u**(-1475\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 124 + -103 - (1 + 7). Solve -y*c = -21*c + 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*d + 146 = -406 - 276 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7716843526 - -1.\nAnswer: -7716843525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/11, 2.29, 2, 0.6 in ascending order.\nAnswer: 2\/11, 0.6, 1, 2, 2.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -97206 from 1.1.\nAnswer: 97207.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u**3 + u**2 - 1. Suppose s - 65 = -h + 269, 0 = 4*h + 3*s - 1333. Let z = 332 - h. What is c(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 644535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = -2*a + 3*u, -3*u - 585 = -5*a + 2*u. Suppose a*d - 114*d - 970 = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 5*v + 4*t + 30, -3*t - 13 = v. List the prime factors of (-1)\/v - (-6)\/(-4) - -420.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6690892 to 4 dps.\nAnswer: -0.6691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -45. Let x be 0\/(s\/(-5)) + -2. Calculate the least common multiple of 61 and x\/(3*4\/(-24)).\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31234534 (base 6) to base 11\nAnswer: 56a469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -509 - 623 = -4*h. Suppose -u - 785 = -3*m, 0*m - 5*u = m - h. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2561245 (base 11) to base 10\nAnswer: -4437845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 155 - 159. What is the closest to x in -0.1, -3, 0.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1593, -1602, -1623, -1662, -1725?\n\"Answer: -l**3 - 2*l - 1590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 35 = 62 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vee when three letters picked without replacement from {v: 16, b: 1, e: 3}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 4.03. Let i(t) = -t**2 + 5*t - 3. Let k be i(5). Which is the third smallest value? (a) d (b) k (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/1137, -3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**2 - 8*q - 82. Give w(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {k: 4, b: 14}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -203690124 divided by 1738?\nAnswer: -117198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 5*x = -23*j + 210, -3*j - x + 34 = 0 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 94 = -86. Let w(n) be the first derivative of 32 + l*n + 5\/2*n**2. What is w(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 5*m - 1867 = x - 1921, -470 = 3*x + 92*m for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1244550264, -1244550266, -1244550268?\n\"Answer: -2*p - 1244550262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25663885 and 2015?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 453.42 - 446.42. Which is the closest to -1? (a) -2\/3 (b) 70 (c) z (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 108. Let d = 51 - a. Let f be (-1 + 3)\/((-56)\/d - 6). Calculate the highest common factor of f and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -238.6759294 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020 (base 4) to base 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.388155 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, -228, -223, -218, -213, -208?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1568921234 to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.091 + -31.909. Let q = 31 + u. What is the closest to q in 2, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1711110, -1711066, -1710988, -1710870, -1710706, -1710490, -1710216, -1709878?\n\"Answer: u**3 + 11*u**2 + 4*u - 1711126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 9*o = 17*l + 8*o - 4, -26*l + 30*l + 3*o = 98 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*q + 0)*(-3 + 3 + 11*q) + (-q + 0*q + 5*q)*(4*q - 3*q - 3*q).\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 532, 807, 1098, 1411, 1752?\nAnswer: 2127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/16*((-26)\/(-6) + -3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.5 + 2.5. Put 3, k, -2 in increasing order.\nAnswer: k, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -354*h**4 - 12405*h**3 - 525*h**2.\nAnswer: -3*h**2*(h + 35)*(118*h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119733315 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1051.8 (b) 0.3 (c) 601\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -0*f + 3*f + 16, 0 = p + 2*f + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2923748, 5847494, 8771240, 11694986, 14618732?\nAnswer: 17542478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 251183891 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((21\/42)\/(1\/4))\/((-41)\/((-369)\/162)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 + (-13 - -17) - -17\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 16. Let a(q) = -4*q**2 + q + 0 + 47*q**3 - 50*q**3 + j*q + 3. Is 15 a factor of a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 3aa40?\nAnswer: -3aa44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w - 648 = -36*w. What is the remainder when 192 is divided by w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-2) - 3)*6. Let s = p + 21. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 17 = -8*c. Determine z so that 3*z**2 - 2*z**3 + 2*z**3 - 4*z**3 + c*z**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168554 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -36417 (base 12) in base 13?\nAnswer: -273c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2449 + 2444.074. Let n = -0.396 - k. What is n rounded to one dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 5*s + 40 = -2*j, -3*j + 31 = 4*s. Suppose -j*m + 166 + 332 = 4*u, -u = -2*m + 194. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -47, -56, -55, -44, -23, 8?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 0*b + 2*b + 22.\nAnswer: 2*b + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 7*l - 13. Let v be x(-3). Is 25 a factor of v + 1 - (-1 - 894\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 42 = a. What is the tens digit of a + (-4 + 3)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48997869.\nAnswer: 3, 16332623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 - 444. Let c = y - -6015\/11. What is the common denominator of c and 28\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -492, -1975, -4448, -7917, -12388, -17867, -24360?\n\"Answer: -k**3 - 489*k**2 - 9*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, m: 1, z: 1, e: 2, y: 2}. Give prob of sequence lyme.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 4, j: 7}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6621*o*q**3 + 2600*q**3 wrt o?\nAnswer: 6621*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18 + 31 + -10)*(-1838228)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-225)\/(-6)*(1 + 2\/(-6)). Let k = t + 46. List the prime factors of k.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*3\/50)\/((-15)\/(-10) - (-246)\/(-165)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j + 15. Let p be g(3). Let o = -53\/113 + 5587\/2034. Calculate the common denominator of o and 1*-50*(p\/16)\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l*l**31)*l))\/(l**13*l))\/(l**(5\/11)*l**(-18\/5)))**(-1\/7) assuming l is positive.\nAnswer: l**(-1108\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 1, f: 1, c: 2}. What is prob of picking 1 a and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304*k + 281*k = -874. Solve -10*d - k = -8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = 4*r - 9*r. Let g be r\/10*56\/5. Let y = -155 - -162. Calculate the greatest common factor of g and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46172076601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110387?\nAnswer: 3, 359, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.1, 45\/2137, 5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26057, -52110, -78163, -104216, -130269, -156322?\nAnswer: -182375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Let t(a) = -a**3 - 9*a**2 - 7*a + 8. Let m be t(-8). Let f = m + h. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-1)\/2 - (-21)\/6. Let t(k) = -k - 1. Let g(d) = -d - 1. Suppose -m + q = 5, -4*m + 2*q = -0*q + 14. Give m*g(c) + x*t(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 4, -11\/6, -4 in ascending order.\nAnswer: -48, -4, -11\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)*-2)\/sqrt(5).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 194308128.\nAnswer: 194308128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36*((-285)\/(-266) - (-21)\/(-294))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/22, -19.8, 0.0137, -40 in ascending order.\nAnswer: -40, -19.8, 0.0137, 3\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2295, 4229, 6231, 8307, 10463, 12705?\nAnswer: 15039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1568 divided by 4.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4711 - 4711. Let u(r) be the third derivative of 0*r**6 + 0*r - 7\/3*r**3 + g*r**5 + 0 - 17*r**2 + 0*r**4 - 1\/15*r**7. Differentiate u(q) wrt q.\nAnswer: -56*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f - 271. Let n(h) = 2. What is 3*n(c) + p(c)?\nAnswer: -3*c - 265","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2. Let p(g) = g**2 - g. Let i be p(1). Let r be l(i). Suppose 0 = -5*b - r*b + 15. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53 - -38 - -45) + -34.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 413 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 5*b**2 + 5*b - 1. What is l(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -13 - 1) + -1. Let x = 16 + i. Suppose -b**3 + 2*b**5 + x*b**4 - 4*b**4 + 3*b**3 = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from qeqqcoeeecei?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12124 (base 9) to base 5\nAnswer: -224442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -86. Let x(v) = -v**3 - 9*v**2 + 26*v + 41. Let j be x(h). Let m = 6 - 5. Which is the second smallest value? (a) m (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(48))\/sqrt(4) - ((sqrt(24)*-1)\/sqrt(8) - (sqrt(48)*-2 - sqrt(48))**2).\nAnswer: 3*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*p + 5*d + 6, -4 = -p - 2*d. Let y(l) be the second derivative of 0*l**4 + 0*l**p - 1\/50*l**5 + 2*l + 0 + 1\/15*l**3. Factor y(k).\nAnswer: -2*k*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/795360 and 26\/171.\nAnswer: 45335520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*q - 0*m - 11, -17 = -3*q + m. Let n(h) = -6*h - 3 + 7*h - 2*h**3 - q*h**2 + 5*h + 3*h**3. What is n(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j*u**2 - 2*j + 8*u**4 + 6*u wrt u?\nAnswer: 2*j + 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 186886?\nAnswer: -186885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n = -12. Suppose -n = t + 1. Let b(l) = -5*l - 5. Let s(w) = w + 1. Let z(i) = b(i) + 6*s(i). Give z(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*i**2 - 377*i**2 - 12*i**2)*(-3*i**3 + 3*i**3 - i**3 + (3 - 2*i**2 - 3)*(-4*i + 3*i + 2*i)).\nAnswer: 1470*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9854156 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5 + 23\/10*j - 1\/10*j**2.\nAnswer: -(j - 24)*(j + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -815340, -1630691, -2446056, -3261441, -4076852, -4892295, -5707776?\nAnswer: -6523301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, 2, -4, 0.5 in decreasing order.\nAnswer: 8, 2, 1, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1998334 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9908334.\nAnswer: 2, 3, 71, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 911*c**3*n - 3115*c*n - 15*n + 12918 wrt c?\nAnswer: 2733*c**2*n - 3115*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (3 - 0))*0\/8. What is the biggest value in 1\/5, r, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -311022322 (base 4) in base 12?\nAnswer: -a604a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 4*b**2 + 2*b - 3. Let j be a(-5). Let n = 15 - j. Suppose n*v + 76 = 4*r - 0*v, r + 5*v = 19. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 61\/7 + 6\/21. Suppose -3*w = -p - 3. Let f = -15 + 21. What is the least common multiple of w and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111011100011100000 (base 2) to base 11.\nAnswer: 1030a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*h - 1386 + 72 = 0. Calculate the lowest common multiple of 2163 and h.\nAnswer: 12978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278984318, 278984311, 278984300, 278984285, 278984266, 278984243?\nAnswer: 278984216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/(t**8\/t))\/(t**(1\/13)*t*t*t**4*t) assuming t is positive.\nAnswer: t**(-209\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 2*j**2 - 2*j - 5. Determine k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1717457 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (6 - 8) + (-13)\/((-91)\/(-6))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15.7*0.011\nAnswer: -0.1727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1946\/556 - 198\/52.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*(-20)\/16*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, -246, -256, -266, -276?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30474*m**2 - 26154*m**2 - 118217*m**2.\nAnswer: -174845*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-13)*i)\/i)\/i**(-3\/11))**28\/(((i\/i**(-2))\/i*i)**(-23)\/(i**(-5)*i\/(i**(-1\/2)*i))) assuming i is positive.\nAnswer: i**(-6421\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(72) - sqrt(18))\/sqrt(6) - (-3*(0 + sqrt(27)) + sqrt(27)).\nAnswer: -3 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*r = -0*h - 80, 5*r + 105 = 5*h. What is the common denominator of h and 81\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from hbrhaeh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 5:57 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + -38 - -32 - -73?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2155 (b) -5 (c) -0.244\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 856631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1226775 and -29\/557625.\nAnswer: 6133875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 283*q**2 - 6381*q - 905. Give f(304).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r**4 + 10708*r**3 + 2443180*r**2 + 24150924*r + 7779240 = 0 for r.\nAnswer: -441, -10, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 654 = -4*i - 5*b, 4*b - 503 = 3*i. Is 3\/12 + i\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2755 (base 11) to base 8\nAnswer: 6761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7056 - 6456. Factor -580\/3*q**3 - 720*q - d*q**2 - 288 - 4\/3*q**5 - 80\/3*q**4.\nAnswer: -4*(q + 1)**2*(q + 6)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364*q**3 - 13*q - 834*q**3 + 12*q - 178*q**3 + 204*q**3.\nAnswer: -1172*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -20\/9, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1674 + -3?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 1418*v**4 - 1429*v**4 + 2*v**3 - v**3 - 3*v + 15 - v - v**2 to t*v**4 + a*v + p + o*v**3 + c*v**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.87 - 0.97. Let a(p) = -p**2 - 9*p + 11. Let i be a(-11). Let m be (-8)\/(-10)*i\/22. Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15991150 is divided by 1922?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134510*z**3 + 86045*z?\nAnswer: 807060*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*o - 1 = 13, -4*y = -5*o + 7. Suppose w + y*t = 3*t + 37, -5*t = -w + 33. Solve -5*q = 13 - w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3703263*c + 37032638. What is n(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -14 + 7*p + 5 + 13 + 17*p**2 - p**3. Is v(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1108909225 to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 64 = 3*w. Let j(k) = -k**3 + 20*k**2 + k - 19. Determine j(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 304 and 16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -973*p + 981*p + 146, -5*p - 2*q = 86 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -636*a**2 - 544*a**2 + 1 + 1063*a**2 - 376*a**2 in the form v*a**2 + q + d*a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/25 or 26?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (27 + -12 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 1. Let v(f) = -f - 4. Let z(b) = -t(b) - v(b). Let u be z(-3). Let k(q) be the second derivative of q**5\/20 - 13*q**2\/2 + 6*q + 568. What is k(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162)\/(-540)*9\/(-27).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1918\/69 + 686189\/24564. Calculate the common denominator of 61\/8 and u.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {w: 5, p: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**5\/20 + 5*v**4\/4 - v**3\/6 - 19*v**2\/2 + v. Suppose 5*c + 5*m = 85, 0 = -11*m + 9*m + 6. Is q(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -8*o**2 + 15*o**2 - 7 - 8*o**2 - 5*o. Calculate f(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-23 - 5*i + 23)*(1 - 1 - i**2) - 3 + 3 - 2*i**3)*(-4761*i + 1656*i + 1143*i).\nAnswer: -5886*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 4, 27, -20 in decreasing order.\nAnswer: 41, 27, 4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 7*i - 6. Let z be o(-5). Let b(x) = 16*x. Let s be b(z). Find the third derivative of a**3 + 5*a**4 - a**3 + 69*a**2 - s*a**2 wrt a.\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 70 = 6*b. Let r(l) = b*l + 6 - 6 - l. Let z(f) be the first derivative of -f**2 - 2. What is z(r(o))?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 7203 = -5*n - 59625, -3*y - 5*n = -78683. What is the ten thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i**3 - 9*i**3 + 40*i**4 - 8*i**3 - 11*i**3 - i**2 - 1 + 32*i**3 as p*i + t + r*i**4 + g*i**2 + v*i**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/372 and 157\/1302.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.11 + 10.89. What is the fourth smallest value in -0.03, n, 1\/9, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**5*z + 48*b**4 - b**3*z + 24*b**2*z + 6*b*z - 3*z wrt b.\nAnswer: 120*b**2*z + 1152*b - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - 6*d**2 + 5*d**2. Let z be (-1)\/(-3) - 10\/(-6) - -12. Let f(x) = -9*x + x + 10*x + z*x. Calculate f(i(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 10) to base 3\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.05 + -43.95. Let x = c + 50. Let g = -0.05 - 0.35. What is the third smallest value in -5, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - (-124 - -73) - -90?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68.8 - 69. Let j = 33 + -33.71. Let z = j - -0.21. Which is the smallest value? (a) -1\/6 (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*f = 359857 - 950421, -787403 = -4*o + 9*f. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15613 = u - 4*u - 4*t, 9*u - 2*t - 46783 = 0. List the prime factors of u.\nAnswer: 3, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1696 divided by -4\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9036*v + 458*v**3 - 2*v**2 - 498*v**3 - 9036*v.\nAnswer: -40*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9243 divided by -39.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-2 - 9) - (-1 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*t**3 - 9*t**3 - 12*t**3 - 17*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54303?\nAnswer: 3, 23, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 2*c**5\/15 + 7*c**4\/24 + 11*c**3\/3 + 6. Let x(p) be the third derivative of u(p). Is x(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6.65 or 2\/5?\nAnswer: 6.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21382902*t + 25726791?\nAnswer: 21382902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 578*b + 564. Let x(l) = l**2 + l - 6. Let r(q) = -p(q) + 3*x(q). Let r(z) = 0. What is z?\nAnswer: -582, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2421010 (base 5) to base 15.\nAnswer: d58a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250504.\nAnswer: 2, 173, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.95 and 11.46.\nAnswer: 12.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y - 2*y + 3*y + (-3*y + 5*y - y)*(2 + 2 - 2))*(7 + 7*y - 7).\nAnswer: 77*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 165*d - 1656209 - 873076. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1733596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24321961817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 12*m**2 - 410*m + 127. What is s(27)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 7*l**2 + 11*l + 8. Let f be t(-8). Let n be (30\/7)\/(f\/(-112)). Let h be (-1619995)\/n + 1\/(-6). What is h rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4404651941?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691970202*r**2 + 97416*r + 24\/7 = 0.\nAnswer: -2\/28413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -3\/7, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:01 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -901*u + 6207. Give b(7).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 8 + 9 + 6*x**3 in the form s + f*x**2 + q*x + j*x**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4 - 88*y**3 + 1464*y**2 + 53504*y - 739328 = 0.\nAnswer: -38, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1631, -2383, -3137, -3893, -4651, -5411, -6173?\nAnswer: -6937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 39*p + 36.\nAnswer: 3*(p - 3)*(p - 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/20)\/((-1)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -224364\/473 + 20400\/43. Let k = -521 - -2061\/4. What is the common denominator of y and k?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5)\/(16\/440)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001221 - -10?\nAnswer: 2002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 0)*-6 + 5*((-1*sqrt(121))\/sqrt(11) + sqrt(11)) - -2*(0 + sqrt(704) + (1 + sqrt(704))*-4)**2.\nAnswer: 312*sqrt(11) + 12704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 60 = -11*y. Solve 4*v - 3*s - 7 = 0, 0 = 5*v - s + 5*s + y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1364 or -1826?\nAnswer: -1364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**3 - 6*j - 5. Let k(w) = -9*w**3 + w**2 + 11*w + 11. Let a(g) = -3*k(g) - 5*x(g). Is 20 a factor of a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -270a (base 11) to base 6\nAnswer: -24143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 y when four letters picked without replacement from ynbybybnynbbbbby?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 975 divided by 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*q = -418*q - 5*w - 25, 4*q + 3*w = -15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y**2 - 3*y + 18. Let q(a) = -9*a**2 - 2*a + 18. Let p(b) = -5*o(b) + 4*q(b). Let g be p(4). Which is bigger: g or -16\/3?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 321\/107 - 1*4 - 10\/(-6). Sort 1\/11, 0, -2, n, -2\/5 in descending order.\nAnswer: n, 1\/11, 0, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-22) + (-1224)\/(-198). What is the highest common divisor of 16 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148.6*-0.5\nAnswer: -74.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -485 - -484. Let q be (-8)\/2*t - 4. What is s in -4\/5*s**2 - 2\/5*s**3 - 2\/5*s + q = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suxdlux. What is prob of sequence sd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/9 (b) 164481 (c) -99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -0.6, -1\/6, -9\/10, -31?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:37 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 352 by 8.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 1288287.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*y = -215*y + 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**4 - 2970*u**3 + 980100*u**2 - 107811000*u = 0?\nAnswer: 0, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/32 + 4\/(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - -7.8. Let w = 7.99999952 - v. What is w rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 864599*g**2 - 24*g + 4768 wrt g?\nAnswer: 1729198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -126\/5*c**5 + 154 + 0*c + 25*c**3 + 0*c**2 + 0*c**4. Find the third derivative of k(d) wrt d.\nAnswer: -3024*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20234 + -31984. Is h at most -23499\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 14 - 326*c - 973*c to the form q + n*c and give n.\nAnswer: -1299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 18*h - 51. Let j be i(5). Let o be (1 + -1)*j\/390. Find x such that o*x + 0 + 2*x**3 + 2\/3*x**2 = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 16 = 3*v, 3*v + 2009 = c + 2017 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152320 and 193070.\nAnswer: 2940842240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-12 - -3)) + (-5 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 946 + -1665. Let g = m - -719.000001143. Round g to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4) - 28\/(-8). Suppose -p*d + 6*d = 3. Sort 2, -1, -4, d in ascending order.\nAnswer: -4, -1, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 0*o - 54. Let q(y) = -y - y**3 - 6*y**3 + o*y**3 + 0*y**3 - 3*y**2. Calculate q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66 - -2.02.\nAnswer: 68.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.52. Let a = 3.72 - z. Let d = 3.50239 - a. What is d rounded to four decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1024393*i**2 - 4*i**3 - 1024393*i**2 + 11*i)*(2 - 2 - 7) to the form t*i**3 + p + o*i + z*i**2 and give o.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 + 112. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -953.579538139?\nAnswer: -957.579538139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218, -218, -220, -224, -230, -238, -248?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 18*p**2 - 4*p. Let o(f) = -f**3 + 2*f**2 - 63*f - 267. Let l be o(-4). Let r(x) = 360*x**2 - 81*x. What is l*v(d) - 4*r(d)?\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**6\/120 + s**5\/10 + s**4\/4 + s**3\/2 - 18*s**2. Calculate w(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2 + d**3 - 2*d**2 + 0*d**2 - d**2 - 2*d**2 + d. Let v be x(5). Suppose -v*w - 2*w = 2*s - 282, -s = w - 54. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-11))**(-7) assuming a is positive.\nAnswer: a**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i - 14. Let o be v(-4). Solve -o*k = -5*k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + 0.8. Let b = -0.3 - -8.3. Let d = -5 + b. Put m, 4, d in decreasing order.\nAnswer: 4, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**4\/4 - 10*a**3\/3 + a**2\/2 - 5551*a - 2309. Differentiate k(t) wrt t.\nAnswer: 3*t**2 - 20*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - h + 2*h**4 + 3*h + (-h + 0*h + 0*h)*(0*h**2 - 4*h**3 + 0*h**2).\nAnswer: 6*h**4 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*k - 4*y + 1, -5*k - 5*y = -35. Suppose 0*j = -2*j + 2. Let l be 13 + -3 - (j - -2). Calculate the greatest common factor of k and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/((-8)\/(-1)))\/(-4 - (-318)\/78).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*i + 6. Let u = i - 5. Solve u = s - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4636\/5 + 934. Calculate the common denominator of f and -1 + -1 + (-98)\/24.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.874604 rounded to one decimal place?\nAnswer: 30.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 11*m + 2. Let r(y) = y**2 + y + 4. What is the remainder when r(0) is divided by b(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1082 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymvq when four letters picked without replacement from ppvmmyyhpmqyqvhy.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000028462587 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = c, 188*o - 191*o - 16 = 4*c. Solve -5*n + 35 = 2*a, n + o = 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 0*k - 2*k - 151*k**2 + 2*k + 152*k**2. Let f(l) = -7*l - 17*l - 11*l - 3*l. What is f(c(w))?\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*m**3 + 7*m**4 - 10*m**4 + 5*m**4 + (5 + m**3 - 5)*(-141*m + 390*m + 126*m) as x*m**3 + q + z*m**2 + w*m**4 + d*m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037389 - -998?\nAnswer: 1038387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 360580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 5:39 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10151316 rounded to the nearest one hundred thousand?\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -50.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r = 4. Suppose 4*w - 2*u + 7*u - 45 = 0, -5*u + 25 = 0. Suppose 0 = r*g + 2*h - 78, 4 = -3*h - w. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.3 (c) -1\/6 (d) -0.0519 (e) -5 (f) 0.01 (g) 1\/8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 708 and 956952?\nAnswer: 56460168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(42)\/sqrt(7)) + sqrt(132)\/sqrt(3)*-3)\/((-2*sqrt(968))\/(sqrt(2)*-2*6))*-4.\nAnswer: 48*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 44 + 2*m**4 - 2*m**2 - 223*m + 25 to d + y*m + o*m**3 + a*m**2 + g*m**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 - 11*i + 5. Let l(g) = -7*g**2 + 11*g**2 + 25*g - 3*g**2 - 29*g - 1. Let x(w) = 4*l(w) - u(w). Give x(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/36 - ((-124)\/48 - -3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 560 and 88?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - (-5 - (1 + -16 - (-298 + 297)))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(6)\/sqrt(3)))\/((sqrt(32)*1)\/sqrt(8)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2122*z + 27946 = -3884 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2*p - 12, -p + 9 = 4*c - 2*c. Suppose -n + 5 = -c*h, -n = -h + 3*h - 5. Suppose -4*b = -n*z - 85, -b + 65 = 2*b - 4*z. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2607)\/79 + 23)\/(-2 + 237)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + -58 + 44.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2562 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*j**4 - 15*j**3 - 25*j**2 + 15*j.\nAnswer: 5*j*(j - 1)*(j + 1)*(5*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0 + 0 + 2*f + (-f + 0*f - f)*(3 - 4 + 3).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x + 3*m = 34*x + 1469, m = 4*x - 2931. Calculate the remainder when x is divided by 2\/3*(-60)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 350285?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 24 = 3*j. Suppose -2*z = 0, -j*n - 3*z - 49 = -244. Calculate the greatest common factor of 39 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2653, -5, -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g = -26*g + 8. Suppose -2*f - 3*t - 22 = 0, 0 = 3*f - 2*f + t + 9. Sort -1, f, g in increasing order.\nAnswer: f, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*12\/(-200))\/((-135)\/(-50)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18538 and -1.\nAnswer: -18538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**2 - 8*h - 5. Let j(z) = -z**2 + z + 1. Determine 6*j(q) + u(q).\nAnswer: q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h*k**2*s + 15706*h*k**2 + 2*h*k*s + 233*h*k + h*s - k**2 + 19*k*s - 4 wrt k?\nAnswer: -6*h*s + 31412*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -997*r**2 + 4*r - 849. Let g(d) = 997*d**2 - 7*d + 848. Let w(t) = 2*g(t) + 3*u(t). Differentiate w(y) wrt y.\nAnswer: -1994*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -11*v + 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 (base 7) in base 14?\nAnswer: 20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6626136 millimeters to micrometers.\nAnswer: 662.6136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2983 = 31*f + 101*f + 475. Let d(v) = v**2 + 4*v - 2. Let j be d(-5). Solve -5*k = 4*y + f, 5*y + 2 = j*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*b - 35 = -7, b = -4*i + 156. Calculate the greatest common factor of 360 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.538580761 to three dps.\nAnswer: -0.539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 10, x + 2160 = -2*v + 2174. Solve -2*t - 5*r = 10, x*t - 5*r - 19 = -39 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1044\/(-3190)*(-5)\/(-3)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 3*q - 9*l - 60, -5*q + l = -108. Solve v + q*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7 + -87.\nAnswer: -85.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*l + 6*l = -20, 2*c - 3*l + 5 = 0. Put -0.4, -0.3, c, 0.2 in decreasing order.\nAnswer: c, 0.2, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -31 = -4748\/149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.64 + 0.15. Let h = p - 0.01. Put -4, -1\/3, h in descending order.\nAnswer: -1\/3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -61 - 63) + 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -140 - 11?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-1) - 19\/((-513)\/103221).\nAnswer: 2, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -373*t**2. Let s(l) = 23*l. Give i(s(c)).\nAnswer: -197317*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 14*p**2 + 11*p - 56. Calculate l(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3) + 4 - sqrt(14)\/sqrt(2)*-4 - (sqrt(7) + -2 + 0 + (sqrt(7) - (1*sqrt(7) + -5)**2)).\nAnswer: -7*sqrt(7) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -920.8 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - a = -2*y - 29, -3*y - 13 = a. Let s = -2 - y. Suppose -3*h = 4*r + 5, -h - r = -0*r. Which is smaller: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, o: 2, m: 1, p: 1, x: 11}. What is prob of sequence omeo?\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -7*k**6\/72 + k**3 - 9*k. Let y(w) be the second derivative of n(w). Let c(p) = 2*p**2. Determine c(y(v)).\nAnswer: 2450*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 139644730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85209788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 2\/55 (b) 2\/17 (c) -0.1 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.45823 rounded to 3 decimal places?\nAnswer: -1.458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5332 + 2*b + 24*b - 5331 - 5335 + 15998.\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, -548, -1508, -2852, -4580, -6692, -9188?\nAnswer: -12068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/2)*c**(-3))**(-1\/85) assuming c is positive.\nAnswer: c**(3\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1142*v + 132484 - 21710 = 0 for v.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 180 = 15. Which is the fifth smallest value? (a) 2 (b) -0.4 (c) -2 (d) m (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**6\/720 - 7*f**4\/144 - f**3\/6 + 3*f**2 + 6*f. Factor j(q).\nAnswer: (q - 3)*(q + 1)*(q + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s + 63. Let b be n(-24). Suppose -9*a = b*a - 96. Solve f = -3, 3*u + 29 - 8 = -a*f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11152\/4 - 4\/1) + 0. Suppose 11*c = 23*c - u. Is 29 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8162291 to the power of 1\/2, to the nearest integer?\nAnswer: 2857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2 - 27\/(-12)). Suppose 5*a - 70 = -5*q, 4*q + a - 62 = -6. Let t be -4 + (-1)\/d*q. What is the fourth biggest value in 1, 5, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8385 (base 9) to base 3.\nAnswer: 22102212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(2\/(-3) + 0). Suppose 5*h + 32 = 4*i, -5*h = -b*h - 3*i + 17. What are the prime factors of ((-6)\/h)\/(15\/160)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, y: 5}. What is prob of sequence yyyy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 - 6*o - 521. Let n(u) = -u**2 - 2*u - 175. Let j(d) = -2*h(d) + 7*n(d). Let a be j(-13). Calculate the highest common factor of a and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 5:17 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1339938 to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -111384 divided by -819?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) -2\/7 (b) -9\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 2\/3, -5, 1\/5, 257 in decreasing order.\nAnswer: 257, 2\/3, 1\/5, -0.03, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 940349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-19 - -26) - (-3 + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 21, 65, 139, 249, 401, 601, 855?\n\"Answer: w**3 + 6*w**2 - 5*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**7\/189 + 44*t**6\/135 - 73*t**5\/15 - 506*t**4\/27 - 529*t**3\/27 + 101*t - 6. Factor z(g).\nAnswer: -2*g*(g - 23)**2*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 + 11.8. Let y = q + -8. Let o(s) = -s + 18. Let v be o(17). Which is the nearest to 2\/5? (a) v (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -4*j + 45, -302 = -5*n - 307 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -600 - -6117\/10. Find the common denominator of 41\/14 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 54. Let f be ((-4)\/6)\/(8\/(-36)). Solve 4*a**3 + 0*a**3 - 2*a**2 - 2*a**o - 6*a**f = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b**3 - 48 + 48.\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 337458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 10\/9*w**2 - 4\/3*w + 0 - 2\/9*w**3 = 0. Calculate w.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 122 = -5*l + 63, 0 = l + 2*h - 41. Suppose -l - 19 = -4*t. What is the remainder when 36 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91332065 by 18266413.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001669086 rounded to 5 dps?\nAnswer: 0.00167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3932 (base 14) to base 4\nAnswer: -2130320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 506182520?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.45077 hours in seconds?\nAnswer: 8822.772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174700057*g**2 + 174700057*g**2 - 7*g**3.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, d: 2, j: 1, s: 2}. Give prob of picking 2 h and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 102352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 times 1015786?\nAnswer: 700892340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, q: 1, j: 1, o: 1, b: 2, h: 2}. Give prob of sequence bjob.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 67\/5 of a minute?\nAnswer: 804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.128 - 0.004. Let b = 0.068 - y. What is the nearest to 0 in -3, b, -5\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 177, 5 in decreasing order.\nAnswer: 177, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/2 - 318*g**3 + 1254*g**2 - 1248*g.\nAnswer: 3*g*(g - 208)*(g - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 962287602 to the power of 1\/2, to the nearest integer?\nAnswer: 31021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 6:57 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -341 by 367633.\nAnswer: -341\/367633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from {d: 11, m: 2}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000046941 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c = 14914 + 11486. What are the prime factors of c?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166208722 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/5)\/((-1)\/5). Suppose -r + 5*f + 15 = 0, 0 = 2*f + h. Suppose -r = -z + 11. Calculate the remainder when 30 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 113.1, 1\/2, 5, -210\/11?\nAnswer: -210\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*g - 6 - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 500095 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 247 and 2231864.\nAnswer: 551270408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 5*n + 30, -16*g = 166*n - 167*n - 85 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 170184958\/3 not equal to 56728320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n. Let o(v) = -9821*v. Calculate o(y(k)).\nAnswer: -19642*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 1980.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (56\/6)\/(2\/132). Let g = -325 + t. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 - (-68 + 47 - 93).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 77*u**3 - 15*u**2 - 505*u - 347. Let v(y) = -26*y**3 + 2*y**2 + 168*y + 116. Let o(a) = 11*v(a) + 4*w(a). Find n, given that o(n) = 0.\nAnswer: -14\/11, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 + 9*c + 4. Let h be z(-6). Suppose 2*n - 2 = 0, -3*n + n = 2*f - h. Calculate the remainder when f is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 24. Let h = z - 8. Let l(n) = 7*n + n**3 + 4*n**2 + h - 13*n**2 + 2*n**2. Give l(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 361253.39106.\nAnswer: 361242.39106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 9 = 1. Let h(n) = 4*n + 1. Let u(m) = -1 - 2 - 17*m + 7*m + 1. Let p(b) = q*u(b) + 12*h(b). Differentiate p(k) with respect to k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -w. Suppose -3*f = -w*f + 12. What is the third derivative of 3*q**5 - f*q**5 + 2*q**2 - 4*q**2 wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 90, 2.095, 1.4 in descending order.\nAnswer: 90, 2.095, 2, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) + 0 + 0))*3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 8*g**2 - 5*g - 7. Calculate u(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25387819 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - a - 2. Let n be -2*((-63)\/(-6))\/(-3). Let d(t) = 16*t + 1. Let s be d(1). Suppose 5*f - s = 2*w + n, 4*w - 4*f = -24. Give o(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1880883 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/15)*c\/c**(-1\/15))**(-36))**(-23\/5) assuming c is positive.\nAnswer: c**(8004\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.6 (b) -393\/17 (c) -3\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.036 + -0.0355. Round z to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6150 is divided by 2045?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1011011101001110 (base 2) to base 3\nAnswer: -2101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1798471536 or 1798471535?\nAnswer: 1798471535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5304 and 5494638.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = 5*f - g, f - 42 - 24 = 2*g. Let s = f + -35. Suppose 121 = 2*m + s. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*g + 288. Let r be 90\/72 - 21\/(-12). Suppose 0 = -4*c - 0*m + 2*m + 192, 3*c = -r*m + g. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 240\/(-42)*(-46)\/(-4). Let f = -2692\/35 - d. Find the common denominator of f and (4\/(-5))\/((-12)\/(-190)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 13343?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6414)\/(-561225))\/((-4)\/25)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (5 + 13 - 16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -433044 - -5\nAnswer: -433039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -44545 = -44342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 9 = -x. Let s(u) = -u**3 - 10*u**2 - 13*u - 13. Let j be s(x). Suppose 3*y - j = 2*t, -2*y + 31 = 3*y + 4*t. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -204*q + 6636. Calculate the remainder when 739 is divided by u(32).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75*2\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 151+0.0764372\nAnswer: 151.0764372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 4 - 15*j + 4)*(11 + 57 - 342)*(2 - 2 - j).\nAnswer: -3562*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 10184321 and 10184319 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -658, -652, -646, -640, -634?\n\"Answer: 6*q - 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7252*g**2 + 43509*g + 13. Determine l(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbkbkxkxzkb. Give prob of sequence bxbk.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (102\/(-459))\/((-20)\/45). Find p, given that 1 + i*p**2 + 3\/2*p = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**0)**18\/(x*x**(-1)\/x*(x*x*x\/(x*x**(-4))*x)\/x))**(-2\/35) assuming x is positive.\nAnswer: x**(-26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*g + 33*g - 376. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11452209.\nAnswer: 3, 1783, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -894 - -1578. What are the prime factors of p?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 31 = -g - 49, 0 = 4*g + 16. Let s be 3 + 5\/((-140)\/n). Let i = -341.2 - -341. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/(1\/(-2)). Suppose 5*n = -z*k + 27, 19 = 4*n + 2*k + 3*k. Let v be 10\/(-45)*n\/(-16). Which is smaller: v or 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2305 + 6942. Let b be 6 - 8 - ((-1886133)\/24)\/(-17). Let l = h + b. Calculate the common denominator of -17\/2 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -232\/7 - -33. What is the closest to -0.1 in i, -4, 0.02?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3031 + 3041. Sort 2, k, 4 in descending order.\nAnswer: k, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, t: 2, o: 5, x: 1, f: 3}. Give prob of sequence xux.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2740)\/(-4795))\/(55\/(-35)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(4*117\/208)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 + 131494150*n**3 - 788964780*n**2 + 1577929480*n - 1051952960.\nAnswer: -5*(n - 26298824)*(n - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = 1548*o - 1549*o + 7 - 23, -4*o - 64 = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -653, 519, 3705, 9913, 20151, 35427, 56749?\n\"Answer: 168*t**3 - t**2 - t - 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k + 5*b + 56 = 0, -22 = -2*k + 4*b. Suppose o - 27 = 11. What is the highest common divisor of o and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 15*w**2 - 15*w - 8. Determine r(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-160)*16*24\/(12\/3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -332198 to the nearest 1000.\nAnswer: -332000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3. Let g be (u\/6)\/((-2)\/24). Suppose 3*a - g = -0*a. Solve -10 = -5*n, -5*c - a*n + 35 = 3*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.319 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2612 + 68*d + 2611 + 44*d - 8*d + 0*d + 5*d + (-1 + 5 - 3)*(-2 + 2 + 3)*(-d - d - d) as q*d + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 divided by -61?\nAnswer: -159\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -15002*r. Let c(g) = 105015*g. Let p(v) = 4*c(v) + 30*x(v). Let k be p(-5). What is k rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3812 divided by 4.\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 28 = 3*z - 2*l, 3*z + 3*l + 12 = 0. Let x = 2 - 1. What is the units digit of x\/(2 - (-11)\/z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/282862 and -13\/4.\nAnswer: 565724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 302846647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006967 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(55)\/(sqrt(405)*4).\nAnswer: sqrt(11)\/36 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 23 = -17. Let z be (-12)\/(-54) - (-16)\/9. What is the smallest common multiple of 4\/z + (2 - -10) and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -19. Suppose -2*o + k = -0. Solve 3*i - o*i + 12 = 3*l, -4*l + 4*i + 16 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15314 divided by -62?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ssqsssskkssksssqs?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + j. Suppose 2*l + 2*l - 128 = j. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 201650 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 77691*x + 543849. What is f(-7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 + 8.06. Let l = h - 13. Which is the third smallest value? (a) l (b) 3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -37. Let t(f) = -2*f - 13 + 2*f**2 - 15 - f**2 + a. Calculate t(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -1\/2*w**2 + 0 - 1\/3*w**3 - 3*w. What is b(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 2284 = 2084. Let q = t - -813. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**2 + 3 + 0 - 3 + 4.\nAnswer: 12*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*26\/11739*((-1323)\/14)\/(-27)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1016 - 2574 = -23*g + 1294. Solve -123*l = -g*l + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -14 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*j + 63, a - 5*j = -8*j - 1. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)\/c**7)\/(((c*(c*c**(-1))\/c*c)\/c)\/(c**(1\/13)\/c*c)))\/((((c*c\/(c*c**0\/c))\/c)\/(c*c**(-3\/2)*c*c))\/(c*c**(-5)*c\/c**(-3\/4))) assuming c is positive.\nAnswer: c**(-555\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 6 + -7 + (3 + 56 - 5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 13 - 1 = 0. Find the second derivative of 12*y**3 + 9*y - 4*y**i - 39*y**3 wrt y.\nAnswer: -186*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 34 = 3*c - 0*n, -n - 5 = 0. Let k = -17 + 18. Is c\/(4 - k) - -30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t**2 + 10022*t - 2864 = 0 for t.\nAnswer: -1432, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 8431.5033 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 12*o. Let w(u) be the first derivative of -u**2\/2 - 23*u + 392. Give x(w(m)).\nAnswer: -12*m - 276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 155 = 1589. Suppose -5*n = c - 254. Solve 0 = -u - 3*o + 1 + n, -5*o + 4 = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -11409.\nAnswer: -5704.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o. Let b(k) = -k**3 + 3*k**2 + 5*k + 3. Suppose r = -3*i + 6 + 10, -i + 24 = 5*r. Let q be b(r). What is the units digit of p(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -4\/9 (c) -0.3 (d) -1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -544.730698 to 2 dps.\nAnswer: -544.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*n = 3*s + 4, 0 = -s - 3*n - 9. Suppose -5*r - 566 = -4*k, s = 2*r - 1. Is 32 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (65 - -2) + 1*-1 is divided by (-4)\/((-235 - -233)\/(1 - (-30)\/2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2152\/5 + 6239\/10. Let v = c + -194. Let z = -68\/3 + 23. What is the biggest value in z, -1\/26, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 + 133 - l + 0*l - 2*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 3*m - 141 = -2*u, 3*m = 15. Suppose -5*v - u + 263 = 0. Calculate the remainder when v is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 2 + -1 - -4) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*1\/4*1. Let h = -349 + 384. Let r be (-10)\/8*(h + -31). What is the second biggest value in c, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*k = 22, -9*d + 4*k + 36 = -11*d. Let i = -35483 - -58899. Is 1\/5 - i\/d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224282, 224286, 224290, 224294?\nAnswer: 224298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*m + 453*m - 86809 = -1047*m - 531*m for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13811 - -13811. Which is the fourth smallest value? (a) l (b) -2\/19 (c) -0.3 (d) -12 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1057335 divided by -352445?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.1404+1.4\nAnswer: 3.5404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731*u - 775*u + 2228*u + u**3 - 766*u + 0*u**3.\nAnswer: u**3 - 44*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -5\/24*n**6 + 0 - 1\/42*n**7 + 50\/3*n**4 + n**5 + 0*n + 160\/3*n**3 - 147*n**2. Factor k(m).\nAnswer: -5*(m - 4)*(m + 1)*(m + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 6:04 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three halves of a milligram?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -41044*a - 1674. Let c be k(14). What is c rounded to the nearest 10000?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 48, 60, 86, 132, 204, 308, 450, 636?\n\"Answer: d**3 + d**2 + 2*d + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43739 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - 55*c**2 - 362*c + 255. Calculate u(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 517, 3, 1, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -0.14 (b) -0.06 (c) -66\/5 (d) -4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2381968*m**2 - 12613131.\nAnswer: 4763936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16169*x**2 + 216*x**2 - 28 + 25325*x**2.\nAnswer: 41710*x**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -136*y**3 + 15*y**2 - 7*y + 2. Let w(k) = 204*k**3 - 21*k**2 + 10*k - 3. Let l(p) = 7*i(p) + 5*w(p). Calculate l(1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2547.727 millennia to decades.\nAnswer: 254772.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**2 - 3*i + 5. Let v(d) = -7*d**2 + 3*d - 5. Give 3*j(g) + 2*v(g).\nAnswer: g**2 - 3*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (-3 - (-16 - 2))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.32 - 0.28. Let c = -44 - -42. Let v = o - c. What is the nearest to -1 in 0, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ca3 (base 14) to base 6\nAnswer: -15315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/7559 and 17\/2.\nAnswer: 15118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*(3 - (-18)\/4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001652335 rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h + 15*h**2 + 0 - 21*h**2 - 6 - h**3. Let d be 5\/2*(0 + -2). Is c(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (113 - -1)*7\/(-70)*5. Let s = x + 62. Let n = 49.09 + -0.09. What is the nearest to n in s, 2, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 - ((15924\/8)\/3)\/((-41)\/1230)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 11 - ((-1 - -3) + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 115*u - 111*u. Let q(k) = 3*k + 30. Let m be q(u). Solve -2*l = -0*l + m*a + 9, 4*l + 13 = -5*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 6680.\nAnswer: 26720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 2*n + 8. Let t be i(4). Let k = -2\/45 + -28\/45. What is the nearest to k in t, -5, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(2) - (sqrt(2) + sqrt(18)\/sqrt(9))*4)**2 + (sqrt(50)*5)**2).\nAnswer: 5392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/65159611 and -73\/17770803?\nAnswer: 195478833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 16447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1120\/2520)\/(14\/9))\/((-2)\/(-35))*-2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**5\/60 + 26*p**3\/3 - 10. Let z(m) be the third derivative of j(m). Let l(y) = 6*y. Give l(z(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 1\/60*b**5 + 0*b - 1\/24*b**4 + 0 - b**2 + 0*b**3 - 1\/480*b**6. Factor g(a).\nAnswer: -a*(a - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, -69884, -2, 5 in increasing order.\nAnswer: -69884, -2, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 + -224. Let r be ((-10)\/(-15))\/(4\/a). List the prime factors of (10\/7)\/((-4)\/r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*((a**(-2\/3)\/a)\/a*a)\/a*a)**(-1\/35) assuming a is positive.\nAnswer: a**(2\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 9:22 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 4\/31 (c) -7\/866\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -324985922*a**2 + 669742213*a?\nAnswer: -649971844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-57999)\/18 - 1\/((-12)\/(-10)). Is 15 a factor of c\/(-5) - 20\/(-50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 1 (c) -8 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 5*z - 1. Let i be p(-6). Solve -2 - 9 - 20*t**2 + i*t**3 + 11 = 0 for t.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 4\/9, 3, -12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*t + 637*t = 730 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/24 + 2*(-2)\/8. Let u(r) be the second derivative of 1\/12*r**3 + v*r**4 + 2*r + 0 + 9\/40*r**5 + 1\/15*r**6 + 0*r**2. Factor u(x).\nAnswer: x*(x + 1)**2*(4*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - ((-102)\/(-9) - 1\/3). Let u(p) = 3*p**2 + 6*p + 23. What is the tens digit of u(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2. Let d(n) = 8*n**2 - 2*n - 10. Let j(r) = d(r) - 5*z(r). Let w be (808\/505 + 22\/(-20))*(23 - 1). Is j(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/4*25\/((-1400)\/(-128))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218196?\nAnswer: 2, 3, 11, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/14*((-20)\/6)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 2*t + 12. What is h(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = 2*n - 5*f, -264 = -n + 5*f - 64. Let a = -36 - -164. Let l = n - a. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 225\/30*4\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u - 34. Let h be i(6). Suppose c - 24 = x - 5*x, 3*c = -h*x + 12. Calculate the remainder when x is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 0*d - d)*(1 + 2 - 5) + 0 + 0 + d - 3*d + 5*d - d + 28 - 19*d - 32 + 5 to the form s + r*d and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**7\/735 - c**6\/420 - c**5\/70 + c**4\/84 + 2*c**3\/21 + 11*c**2. Factor v(y).\nAnswer: 2*(y - 2)*(y - 1)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.992648332 and 335.\nAnswer: 335.992648332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -977 + 978. Let c = 4.37 + -0.37. What is the third biggest value in z, 2, c, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-2)*(8\/(-10))\/((-9)\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/(12\/192). Let o be 3\/12*v\/7. Factor o + 4\/7*y**2 + 6\/7*y.\nAnswer: 2*(y + 1)*(2*y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 4*o + 4*o**3 - o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 26 = -22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45521618 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c66c1 - 25?\nAnswer: 6c6699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 0 - (-7)\/1. Suppose 0 = -2*d + 4, 80 = -4*q - 0*q - 2*d. Let f = 33 + q. Calculate the greatest common divisor of f and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.427619 rounded to two dps?\nAnswer: 19.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 806 and 22858.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1357390*j**5 - 185283*j**2 - 3*j wrt j.\nAnswer: 81443400*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/(-45))\/2)\/(7*22\/231).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-5)*q**(-2\/9)*((q*q**(1\/3))\/q*q)**1*((q*q\/(q**(-1\/2)\/q))\/q*q*q\/(q*q**(2\/13)))**(10\/13) assuming q is positive.\nAnswer: q**(14731\/1521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 14*z**2 - z. Let a be i(1). Let x = a - 11. Let h(g) = g + 14. Let r be h(0). Calculate the highest common divisor of r and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x + 276. Does 24 divide k(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-30)*(-5)\/(-15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**7\/21 - 4*t**6\/3 - t**5\/10 + 10*t**4\/3 - 141*t. Determine j so that s(j) = 0.\nAnswer: -1, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + z**2 + z - 1. Calculate p(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -7.01. Let h = -0.19 + p. Let k = 3.1 + -3. Which is the closest to k? (a) 4 (b) h (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2331243 + 241?\nAnswer: -2331002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -837*x**4 - 1362*x**3 - 2*x**2 - x - 265039?\nAnswer: -20088*x - 8172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 + -1.4999894. What is x rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -1976, -6784, -16182, -31706, -54892, -87276, -130394?\nAnswer: -185782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 15*j**2 + 21*j + 3. Let h(g) = 23*g**2 + 32*g + 5. Give -8*d(s) + 5*h(s).\nAnswer: -5*s**2 - 8*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/1)\/((-22)\/22). Let m be 22 + (0 - 5) + -3. What is the second biggest value in -1\/6, m, v?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -6*z + 156152 - 26057. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**5 + z**4 - z**3 + z**2 - z. Let m(c) = -6*c**5 - 34*c**4 - 6*c**3 + 6*c**2 + 14*c. Let u(f) = -6*d(f) - m(f). Factor u(k).\nAnswer: 4*k*(k + 1)**3*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5 + 6 + 6 + 1 - f. Let z be m(14). What is the closest to 1 in 1\/5, z, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -0.0199171.\nAnswer: 3.9800829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -14434759.17?\nAnswer: -14434760.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 14*f**2 - 13*f + 4. Let l be z(-13). Find the third derivative of 0*m**2 - 3*m**4 + 2*m**l - m**2 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from uccvvcunqou.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, x: 1, j: 2, e: 3, s: 1}. What is prob of picking 1 s and 2 p?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 2)\/(6\/4). Find the second derivative of 2 + 0*r**3 - 2*r - 2*r**3 - h wrt r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8 and -67\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 2*l - 6. Suppose 4*r = -3*c - 72, -c + 35 = -4*r - 53. What is the remainder when d(4) is divided by (r + 1)*18\/(-72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14078195867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -1\/48*y**4 - 9\/8*y**2 + 0 - 1\/4*y**3 - 3*y. Let w(z) = 0. Calculate z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 88989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - (sqrt(44) + 2)**2 - sqrt(44)) + sqrt(11) + sqrt(176) + 1 + ((-2 + 1*sqrt(33)\/sqrt(3))*4)**2.\nAnswer: -67*sqrt(11) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 11*s - 1. Let w be f(-6). Let p = -5 + 4.9. Which is the nearest to 3? (a) p (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 - (-43 + 16 + -7 + 3 + -6).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 585074 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + 25. Let h = -27 + b. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - x - 3 - 1 = 0, -4*x = -3*i + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**2 - 4*a + 37. Let g be f(0). Let l(m) = m**2 - 34*m - 89. Does 3 divide l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -2 - (-31 - -37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 112400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5057, -2, 0, -65 in ascending order.\nAnswer: -65, -2, 0, 5057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82962717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 621*r**2 - 45334*r + 71. Determine a(73).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - 30 - (-3 + 1 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -937\/11 - -2789\/33. Sort z, 1\/2, -430 in decreasing order.\nAnswer: 1\/2, z, -430","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27376 + -27376.330335. Let f = 0.33 + w. Round f to five decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -80*i**3 + 5*i**2 - 5*i. Let b(o) = 119*o**3 - 7*o**2 + 7*o. What is 5*b(r) + 7*v(r)?\nAnswer: 35*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n**3 + 4*n**3 - 4*n**3.\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -7529.\nAnswer: -7529.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**4*y + 3948278*b**4 - 230944*b*y + 11*y wrt b.\nAnswer: 24*b**2*y + 47379336*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -72\/16625 and 103\/2990?\nAnswer: 9941750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6233701250 rounded to the nearest one hundred thousand?\nAnswer: -6233700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 627\/76 + 3\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0279 and -1265829.\nAnswer: 35316.6291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**4 - 4099*s**3 + 576377*s**2 + 1765995*s = 0.\nAnswer: -4235, -3, 0, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1764713928 to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-1 - ((4 - 4) + -8)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/546476 and 1\/24228.\nAnswer: 4918284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 3\/7, -2, 3\/5, 8157, 0.1 in decreasing order.\nAnswer: 8157, 3\/5, 3\/7, 0.1, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**1*d)))\/d)**(-6\/23)*(((d\/(d*d**(-2\/7)*d))\/d)\/d)\/(d\/(d\/(d*d**(-6))))*(d**(1\/4)*d**5)\/(d**(-1\/3)\/d)**(-3\/16) assuming d is positive.\nAnswer: d**(1131\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 110?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/14))\/x*x**(-9)*x*x*(x*x**(1\/2))**6*((x\/(x*x*x\/(x*x\/(x**3*x))*x))\/x*x*x*x*x*x**(-3))**(-5\/2) assuming x is positive.\nAnswer: x**(102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25166\/30 + (-2)\/135*-9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 5*h**2 - 3*h - 1. Is o(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 0.634 (c) -0.5 (d) -4 (e) -5 (f) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 377 - 1882\/5. Let o = 0.07 + -17.07. Let m = o + 17.5. Which is the third smallest value? (a) 2\/9 (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000073964104 to 7 decimal places.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18858421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = l + 35, -4*t = -3*l - 34 - 16 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = q + 2*l - 30, -l - 5 = -2*q. Calculate the highest common divisor of q and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -81*m - 12061. What is w(-149)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 28. Let f = -10.052 + d. Round f to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) -10.4 (c) -5 (d) 72224\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5834634 and 2356.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (64 - (-64 + (73 - 28))) + 36\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34970077*0.4.\nAnswer: 13988030.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -213, 2 in descending order.\nAnswer: 2, 1\/3, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -19?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8217 + -8222. Put i, 30\/23, -0.5 in descending order.\nAnswer: 30\/23, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((5*(sqrt(68) - -1*sqrt(68)))\/sqrt(4) - (3*sqrt(68) + 5))**2.\nAnswer: -297 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + 72 + -3 + 7 - (-2 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1012, -2022, -3032, -4042, -5052, -6062?\nAnswer: -7072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/3*(0 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1192*(0 - 66\/(-176)). Solve -6*j - 477 = -s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 319577 - 306153.45. Let l = y + -13410.54954. Let q = l + -13. Round q to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 + 6*z - 10. Give o(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + v**2 + v. Let i(k) = -10*k**3 - 8*k**2 - 8*k. Let p be (-1 + (-3)\/(-2))\/((-2)\/(-4)). Determine p*i(d) + 8*b(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 866674*x - 14. Let n(u) = 866673*u - 13. Let g(h) = -6*n(h) + 5*z(h). Suppose 5*b - 36 = -b. Let w be g(b). What is w rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 94ab65 - 2?\nAnswer: 94ab63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 634 + -627 + (-11 + 0 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h + 65 = -i, -2*i - 94 = -5*h. Let w = -58 - i. List the prime factors of (4\/12)\/((3 + w)\/276).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = t + 5*t. What is the remainder when 46 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131026.68 nanoseconds in days?\nAnswer: 0.0000000015165125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 589900033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-24) - (-35)\/(-360). Let v = -0.01 - -0.11. Which is the closest to 3? (a) f (b) v (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -746 less than -971?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2791.10704 to the nearest ten.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 5*n**3 + 11 - 2*n**3 - 6*n**2 - 9*n. Suppose -5*p + 15 = 5*l, 13*p - 4*l = 16*p - 7. What is the units digit of q(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13477376 divided by -2.\nAnswer: 6738688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.72505 + 9126.\nAnswer: 9095.27495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12010 (base 3) in base 12?\nAnswer: -b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000083597 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 455324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*n + 2*o - 7, -5*n = 4*o + 1. Let q be 18\/(-6) - (-10 + n). What is the highest common factor of 16 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (9 - 94\/(-16)) + -8 and 41\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1397647 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -5, -1373, 4, -1 in increasing order.\nAnswer: -1373, -5, -4, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*h - 3*s, h - 2*s = 2 + 3. Suppose 0*k + h*r + 450 = 5*k, 440 = 5*k - 3*r. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24494 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77595.\nAnswer: 3, 5, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.35 + 172.35. Let p = y - 170.00000403. What is p rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71211489*y**2 - 32095325 wrt y.\nAnswer: 142422978*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7205686 rounded to the nearest 1000?\nAnswer: -7206000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 69\/(-207)*30\/(-2). Which is the closest to 2? (a) 0.1 (b) x (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 11*p - 14. What is the tens digit of q(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.329*12.8.\nAnswer: -17.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 516*p + 5 - 515*p)*(4*p + 7*p + 65*p)*(5 + 3 - 4).\nAnswer: 304*p**2 + 1216*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(8\/3))**17\/(a**(-1\/5))**(5\/13) assuming a is positive.\nAnswer: a**(1771\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (8 + 0 - 1). Which is the third smallest value? (a) -1\/6 (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/263703 and -55\/3.\nAnswer: 263703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - h + 2. Let s be p(0). Suppose d + 3 = -s, 3*a = 2*d + 10. What is the second derivative of 7*w + a*w**5 + 6*w**5 + 2*w**5 wrt w?\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/90)\/((-44)\/33))\/((-24)\/(-432)).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l + 2*h - 10 = 0, 5*l - 2*h = 4. Differentiate -l*a + 0 - 1 - a + 2 with respect to a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -92, -76, -78, -116, -208, -372?\n\"Answer: -3*u**3 + 9*u**2 + 10*u - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2276991*x**2. Let b(y) = -y. What is t(b(d))?\nAnswer: 2276991*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 134260587 and 0.3?\nAnswer: 40278176.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/6 - 39988*a\/3 - 799520072\/3 = 0. Calculate a.\nAnswer: -39988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1980012487?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iocoxc. What is prob of sequence ooi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -184*a - 27999. Give q(-152).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5992 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49461 is divided by 4081.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -86300 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301201331003 - -3?\nAnswer: 301201331012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 650*n - 5 - 434*n + 559*n + 6 in the form q*n + i and give q.\nAnswer: 775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 3*d - 3*s, -51 = 3*d + 3*s - 0*s. Let y be (-388)\/(-10) - 3\/d. Is 14*(y\/6)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((220\/(-60) + 4)*(-6)\/(-114))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -3\/79 (c) 5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 345407256.\nAnswer: 345407256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2666 and 70620852.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3698, -7433, -11210, -15035, -18914, -22853, -26858?\nAnswer: -30935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*k + 87 = -1385. What is the remainder when -1*176\/(-2 - 0) is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 1:39 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 50438831.87 to the nearest one hundred thousand.\nAnswer: 50400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -984 times -0.5\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 13. Let z = 3 + c. Let y = 2.1 + z. What is the second smallest value in 1\/3, y, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/1925 and 139\/3150.\nAnswer: 34650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 74359782 divided by -24786594\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 6:26 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 355*t**2 + 2*t - 9 - 14 + 15 - 411*t**2. Let o(w) = -37*w**2 + w - 5. Determine -5*n(k) + 8*o(k).\nAnswer: -16*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7 - 12*u - u**2 + 3 - 2*u**2 + 2*u**2. Let q be c(-11). What is the units digit of (-1686)\/(-54) + -1 + q\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45987900.\nAnswer: 2, 3, 5, 7, 61, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.81 + 3.68. Let j = 0.07 - f. Sort j, -4\/7, 2.\nAnswer: j, -4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40960880 to the power of 1\/2, to the nearest integer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 76. Let h = p - 9. What is the lowest common multiple of h and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/61 in 3\/5, -3, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -48. Suppose -3*w - g = 18 - 2, 0 = -p*w + 5*g - 53. Let v(n) = n**3 + 6*n**2 - 6*n + 3. Calculate v(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8 - 147*f - 52 + 5 + 148*f. Give g(26).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13151 - -13151. Put g, 1\/25, -34, -5 in ascending order.\nAnswer: -34, -5, g, 1\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*x = -w + 7488, -3*x = 2*w - 3736. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-12))\/5*(-30)\/15*1.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 0. Suppose -y*v = -v - 56. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -12*n + 381. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j + 0*j + j - 9*j to i + l*j and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**3*s**3 - 138941*p**3*s**2 + 7*p**3 + 144681*p**2*s**3 + 16*p**2*s - p*s**3 + 2*p*s wrt p.\nAnswer: 6*s**3 - 833646*s**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*o + 42 + 14 = 0, 0 = -3*v + 2*o - 36 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(5 + -38 - -4). Let j(q) = -q**3 - 30*q**2 - 39*q - 50. Let a be j(y). Calculate the greatest common factor of 96 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-15)\/(p\/(p*p**(-2\/7)*p)))**(-1\/7)\/((p*p*p*p\/(p*p**7)*p)\/(p**(-1\/6)\/p)*(p*p\/p**(-2))\/p**(-9)) assuming p is positive.\nAnswer: p**(-2683\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 68\/7. Let u be 0 + 0 - (-6 + 4). Factor -2\/7*c**u + m*c**4 + 0 + 0*c + 0*c**3.\nAnswer: 2*c**2*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 + 8*g**3 + 0*g**3 + (-g + 5*g - 2*g)*(2*g**2 - 3*g**2 + 2*g**2) - 3*g + 2*g**3 + 3*g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164479 is divided by 194076.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*m**3 + m + m - 2*m - 2*m as w*m**3 + o + f*m + p*m**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55692?\nAnswer: 2, 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2525941529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196*p**3 - 3553138848*p**2 - 2030365104*p - 290052160.\nAnswer: 4*(p - 18128260)*(7*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 1\/90*g**5 + 1\/9*g**3 - 1\/9*g**2 + 0 - 1\/18*g**4 + 11*g. Factor t(l).\nAnswer: 2*(l - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**5\/120 - 11*k**4\/24 + 121*k**3\/12 + 32*k**2. Factor z(w).\nAnswer: (w - 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a week in minutes?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 653 = 5*z, -2*z + 18 + 248 = 2*b. What is the remainder when z is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405267 take away 2522280?\nAnswer: -2117013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 244.7 - 245. Sort k, 5, 58\/3, 2.\nAnswer: k, 2, 5, 58\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 2:27 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + 9*u**2 - 6*u - 5. What is z(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65626256 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 3*z + 2*z. Let o(j) be the third derivative of 0*j - j**2 + 0*j**3 + 0 + 1\/24*j**4. What is n(o(v))?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*(4 + sqrt(50) - sqrt(2)))**2 + -1 - ((4*-2*sqrt(14))\/(sqrt(189)\/sqrt(3)) + 5).\nAnswer: 1544*sqrt(2)\/3 + 761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 12 = -3*o, -2*a = -6*o + 7*o - 4. Suppose 6*h = o*h + 20. Solve 6*l - h = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + 3. Suppose v + 26 = 3*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -6. What is the remainder when 6\/((-678)\/174 - -4) is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 - 16*k + 7. Let u be h(5). What is the second derivative of -3 - 894*r + u + 887*r - 237*r**5 + 30*r**5 wrt r?\nAnswer: -4140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2445040 (base 6) to base 9.\nAnswer: 218256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2. Let x(q) be the third derivative of 7*q**4\/4 + 5*q**2 - 3. What is m(x(r))?\nAnswer: -1764*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5\/8 - 6573*n**4\/8 + 91581*n**3\/8 - 320019*n**2\/8.\nAnswer: 3*n**2*(n - 2177)*(n - 7)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = 4*b. Let m = 3 + b. Solve m*o = -o + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9027490?\nAnswer: 2, 5, 53, 17033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32577 - -32219.94. Let q = 357 + m. What is the closest to 0.2 in 2, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*5*sqrt(14)*-3)\/(-2*sqrt(175) - (sqrt(7) + sqrt(28)\/sqrt(4)*-3)) + 4)*1.\nAnswer: -15*sqrt(2)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(363\/55)*(-210)\/(-1400)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from {n: 1, c: 1, b: 1, m: 2, l: 1, u: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 140012 (base 5) in base 9?\nAnswer: 7647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 96 + (72\/(-4))\/(-2). Solve -5*o - 30*o = x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1024393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*j - 12. Suppose -2*y = 3*p - 16, 0 = y - 0*y - j. Let i = 2 - 0. Solve -c + i*c = -p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + s + s)*(0*s**2 + 0*s**2 - s**2)*(7 - 1 - 2).\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10\/9 (b) -4.4335 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1035807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -152, -138, -110, -62, 12, 118, 262, 450?\n\"Answer: j**3 + j**2 + 4*j - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39211853?\nAnswer: 39211853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -1\/59408?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(-2 + (sqrt(1088) + -2*sqrt(1088) + 5)**2 + -1) + 3.\nAnswer: -480*sqrt(17) + 6663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 11:22 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7466.658 tonnes to milligrams.\nAnswer: 7466658000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653556487.\nAnswer: 163, 4009549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5336, 5698, 6060, 6422, 6784, 7146?\nAnswer: 7508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, q: 6}. Give prob of sequence qu.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, -5, -65032, -24 in increasing order.\nAnswer: -65032, -24, -14, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.7 + -672.\nAnswer: -688.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111707 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 640356137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.051 + -0.05099954. Round q to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 0 - 1 + c**2 + 2*c - 3*c. Let w be y(-1). Suppose g + 1 - 2 = 0. What is the highest common factor of g and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/2)*p\/(p**8\/p)*p**(-7\/2)*(p\/((p**6\/p)\/p))\/p assuming p is positive.\nAnswer: p**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 38 = 8. Let n(v) = 8*v - 3. Let c be n(2). Let u = 23 - c. Calculate the greatest common divisor of u and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m + 11. Let x be t(-12). Let o be (-52)\/x*1\/(-26). Sort -2, o, -0.09.\nAnswer: -2, o, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmzmm. What is prob of sequence zz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2017 = 4*t + 453. Does t = 1175\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 650*k**2 - 11699*k - 21. Calculate r(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1947 or 1945?\nAnswer: 1945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1638 and 10764.\nAnswer: 75348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1390, 4, -1, -2, 5.\nAnswer: -1390, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/7 + 11\/42. Which is the second biggest value? (a) 2 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 385*n**3 + 14.\nAnswer: 1155*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -1.540827?\nAnswer: -1.0785789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12003 - 36692\/3. Let o = -226 - t. Let l be (-8)\/4*(-2)\/3. Which is the nearest to l? (a) -5 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.61 + -32.39. Let l = 34.4442 - 1.7242. Let a = l + y. What is a rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 13. Suppose 5*l - 27 = -2, 5*g + 65 = 4*l. Let q be n(g). Let w be -2*(-1 + (-36)\/(-8) + -4). What is the highest common factor of q and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2070, 4816, 7562?\n\"Answer: 2746*t - 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099195897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.49, 0.8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 9*j**2 + 6*j - 1. Does 13 divide m(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i**3 + i**2 + 6*i - 7. Let t(n) = -n**3 - 3*n**2 + n + 2. Let r(a) = 2*a**3 + 5*a**2 - 2*a - 3. Let x(j) = -3*r(j) - 5*t(j). Give -u(o) + 6*x(o).\nAnswer: 2*o**3 - o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -24*j**2 - 1. Let m(r) = 2429*r**2 - 6. Give -m(x) + 6*v(x).\nAnswer: -2573*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/((-110)\/(-15))*(-4 - -10). Let g be 8*(k\/(-18) - (1 - -1)). Does -38\/3 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 8820819.2.\nAnswer: 8820819.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (29 - 12) + 1 + 14\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11478055, -1, -4 in ascending order.\nAnswer: -11478055, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 496074?\nAnswer: 496079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 98\/700*-15 - (-3)\/10?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**3 - b**2 - 3*b + 3. Let v be s(1). Let w(f) = 23*f**2 - f**2 + 20*f**v - 10*f**2. Let k(r) = -2*r. What is k(w(j))?\nAnswer: -64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41040 and 2850.\nAnswer: 205200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j*l**2 - 95*j*l + 5955064*j - 202*l**2 + 3*l wrt l.\nAnswer: -2*j*l - 95*j - 404*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-801947)\/(-10)*(25 + 175)\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32379126?\nAnswer: 2, 3, 13, 571, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**4 - q**4 + q**4 + (-q - q + 0*q)*(4*q + q**3 - 4*q) + 5*q**4 - 5*q**4 + q**4 in the form h*q**3 + j*q**4 + m*q + t*q**2 + z and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39088*w + 39144*w + 1188 + 156 = 0 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -18. Let a(h) = 8*h**3 - h**2 + h. Let u be a(1). Let m = u - k. What is the smallest value in m, -3, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 3. Let x = 2 - m. Let b(a) = a**2 - 2*a + 4. Is b(x) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3092840202?\nAnswer: 2, 3, 73, 7061279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -759, -795, -853, -933, -1035, -1159?\n\"Answer: -11*u**2 - 3*u - 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 36*n - 244. Let m be f(6). Solve -2*d = 3*z - 4, -3*d - d = -3*z - m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**11)\/s**10)**(-39) assuming s is positive.\nAnswer: s**780","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen sixths of a day?\nAnswer: 4560","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -185 = -o + n - 187, 0 = -11*o + 5*n - 34 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-3))\/((-17)\/(-153))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (62\/18 - 2*1\/(-9)) + -3. Which is the nearest to 2? (a) 2\/5 (b) u (c) -14 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157406012.\nAnswer: 2, 4447, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3053 + -0.4\nAnswer: -3053.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 3*j**2 - 6*j - 24. Calculate the remainder when 670 is divided by q(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 2. Let d(o) be the first derivative of o**2 + 3*o + 115. What is -4*d(y) + 6*x(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, b: 8, s: 3, h: 1}. Give prob of picking 1 b and 2 g.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 2220169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 6*o = 7*o + 3, 10 = 4*y - 3*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((20\/(-2))\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2108529)\/(-27) - 1\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5688, -5686, -5686, -5688, -5692, -5698, -5706?\nAnswer: -5716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**4\/8 + 153*g**3\/8 - 249*g**2\/4 - 81*g = 0?\nAnswer: -54, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -692, -1\/4, 19, 1\/17.\nAnswer: -692, -1\/4, 1\/17, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s - 6. Let k = -1 - 4. Let f be z(k). Let a(q) = q**3 - 5*q**2 + 3*q + 2. Give a(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-8)\/14))\/(9\/18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 255890109 divided by -85296703\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 5*c**2 + 4*c + 1. Let l be d(4). Suppose n + 3*h = 19, 0 = 2*n - 2*h - 2 + 4. Let w = n + 1. Put w, -2, l in increasing order.\nAnswer: -2, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 1104 = 3*n. Let k be ((5 - 9) + -65)\/(1 - 48\/30). Calculate the highest common divisor of k and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 4720.\nAnswer: -4703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10169, -10174, -10187, -10214, -10261, -10334, -10439, -10582?\nAnswer: -10769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 - 11*y**4 + 2*y**3 + (4*y - 2*y + 0*y)*(-3*y**3 + 5*y**3 + 0*y**3) + (2 + 2 - 2)*(-2*y**4 + 3*y**4 - 2*y**4) + 3*y**4 + 3*y**4 - 5*y**4.\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3941.871 centuries in decades?\nAnswer: 39418.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8891 - -12991. Suppose 0 = -6*p + 2*p + r. Suppose -5*y = -10*y + p. List the prime factors of y.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-21)\/(-12) - -3 - (-14)\/56. Sort p, -4, -24, 5 in descending order.\nAnswer: 5, p, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 = -r, 5*r - 21*t + 7 = -17*t. Which is the fourth biggest value? (a) 1 (b) 0.3 (c) -1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 6 - (8 + (9 + -4 - 10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/9 - (-2)\/(-2). Let i = 1 - -9. Let v(k) = -k**2 + 10*k. Let n be v(i). Which is the nearest to -0.1? (a) o (b) -5\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, c: 10}. What is prob of picking 2 l and 2 c?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.62951550658045 - 0.5.\nAnswer: 1.12951550658045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**5\/25 + 3*z**4\/10 + 8*z**3\/15 - 3*z**2\/5 - 7*z\/5 + 15. Factor p(l).\nAnswer: -(l - 7)*(l - 1)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1009, 1007, 1005, 1003, 1001, 999?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 - 37*b + 5 - 22 + 48*b. Is f(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-20)*(3 + -28). Let l = 2 + 3. Suppose 2*c + 6 = 2*s, -5 = -s + 2*c + c. Solve 0 = -s*z - l + i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 714313651 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2 + 785*p + 16500 = 0. Calculate p.\nAnswer: -132, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 1. Let r be d(-1). Let q = -327\/3400 + 9\/425. Is q greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003969 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 177 divided by 1\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4 - 1727*b**3 + 10317*b**2 + 15503*b - 24094 = 0. Calculate b.\nAnswer: -2, 1, 7, 1721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324 divided by -18.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - l - 11 = 0, 3*k - 10*l - 36 = -6*l. Which is smaller: 10 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8768 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: 1446 (base 9) to base 6\nAnswer: 5023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1338116*v - 1438019?\nAnswer: 1338116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by -1?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4321.\nAnswer: 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (-26 - -18 - -12)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 6. Let t(a) = -a**2 - 5. Let h(g) = -6*t(g) + 5*x(g). Let w(r) be the first derivative of -8 - 1\/2*r**2 + 0*r. Determine h(w(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 1)\/(1\/(-16)). Let u be 4\/18 - t\/(-18). What is the first derivative of 0 + 2*g**2 - 1 - u wrt g?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*i**2 - 27*i**3 + 134*i**3 - 6*i**2 - 31*i**2 + 13 as h*i**3 + b*i + g*i**2 + u and give h.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**5\/120 - 3*s**4\/8 + 2*s**3\/3 + 1. Let z(v) be the third derivative of k(v). Let l be z(-7). Sort -4\/3, 0.3, l.\nAnswer: l, -4\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) 2\/7 (b) -2\/5 (c) 0.2 (d) 238 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4.1 (b) 0.5 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5))**(-2\/185))**19 assuming z is positive.\nAnswer: z**(38\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*x + 61 = -0*m, -3*m + 2*x = -44. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30428*q + 30441*q + 37505 = 0. Is q less than -2882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpqek. Give prob of picking 1 e and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 take away -44?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*o = 30. Let l(r) = 6*r - 7. List the prime factors of l(o).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 82?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. Let v(d) = 5*d**2 + 2*d + 3. Calculate the remainder when v(g) is divided by -7 + 25 - (847\/(-7))\/11.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*n - 130 = n, 3*m + 78 = -4*n. Let f = m - -36. Suppose -2*z + 18 = 4*k, 2*z = -2*k + f + 4. Solve k*i + 5 = 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45*n**2*u - 6*n**2 - n*u**2 + 218*u**2 - 2*u wrt n.\nAnswer: -90*n*u - 12*n - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -11*q**3 - 73*q**2 + 204*q - 48. Let v(m) = 35*m**3 + 218*m**2 - 612*m + 142. Let z(b) = 7*k(b) + 2*v(b). Factor z(t).\nAnswer: -(t - 2)*(t + 13)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -370 + 306. What is b rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 123 - i**2 + i**2.\nAnswer: -i**2 - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*1\/((-4)\/(-9)). Suppose 2*r - 16 = -4. Does 18 divide (u\/r)\/(2\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.4 - -2.6. Let s = -12 + 1. Let v = s + i. Which is the nearest to 0.1? (a) 3 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -142*m + 27. Let d(s) = 95*s - 18. Let c(u) = -8*d(u) - 5*y(u). Is c(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-244467970)\/(-2900) - 1\/8*(-12)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-15 + 17 + 11 + 12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 327289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8299 - 10*(-24)\/(-80).\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 34 + 28 = 0. Let i(b) = -14*b + 12*b + 3*b - u. What is i(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.08 - 0.08. Let d = 0 - a. Let f = -1 - -1.3. What is the second smallest value in -1\/8, f, d?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - -6*sqrt(76)*-4 - sqrt(76) - sqrt(76)) + sqrt(76) + 4*(sqrt(76) - -1*sqrt(76)))\/(-3*(sqrt(4) - sqrt(8)\/(sqrt(50) - sqrt(2)))*-6))**2.\nAnswer: 19456\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-16))\/(92\/(-1472)). Solve 2\/5 + 0*c - 2\/5*c**j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + 122*j - 81*j.\nAnswer: 47*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 259.77364 rounded to two decimal places?\nAnswer: 259.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3)*(5 - -1). Let r be 3 + (10 - (3 + h)). Solve r - 2 = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 443 + -498 + (1 - -17)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 219012265 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 + o - 2. Let w(q) = -6*q**2 - 3*q + 4. Let z(b) = 5*i(b) + 2*w(b). Let u(y) = -2*y**2 + 2. Let j(x) = 5*u(x) + 4*z(x). Factor j(a).\nAnswer: 2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -15*s + 14*s - 17*s. Let a(u) be the first derivative of 0*u**2 + 8\/3*u**3 + 14 + s*u. What is the first derivative of a(j) wrt j?\nAnswer: 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 x, and 1 g when three letters picked without replacement from wwgwwfaxfw?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23661.5t to micrograms.\nAnswer: 23661500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*t + 829, -2*q = -0*t - 2*t - 1658. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.079 (b) 5 (c) -124 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 264*d*y**2*z**2 - d*y**2 - d*y - 2*d*z**2 - 623*d*z - 3*y*z**2 wrt z.\nAnswer: 528*d*y**2 - 4*d - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -250 at least -5402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99640 (base 10) to base 9.\nAnswer: -161611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, y: 3, i: 2, h: 11}. Give prob of picking 1 y and 1 h.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 18*f**2 - 38*f - 37. Determine o(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 5*d - 23 = -2*w, 9 = w + 2*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m - 2. Let t(g) = -9*g + g**2 - 19*g + 1 + 44*g - 12*g - 5*g. Let s = -5 + -13. Let b = s - -19. Determine b*h(d) + 2*t(d).\nAnswer: 2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 3*m + 1. Let l be s(-3). Suppose -l = -2*z + 46. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.38, -1\/5, 93, -2\/5, -2\/9 in decreasing order.\nAnswer: 93, -1\/5, -2\/9, -0.38, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let a(j) = -5269*j**2 + 78857*j + 2. Calculate g(a(d)).\nAnswer: -5269*d**2 + 78857*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 29. Calculate the remainder when 0 + (24 - (-1 + -1)) is divided by (c - (-200)\/(-32))\/((-1)\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -2 - -11 - (15 - -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 6*z - 388. Give y(16).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 32, -143 in decreasing order.\nAnswer: 32, -58, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l - 1. Let a be d(3). What is the highest common factor of a and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51507 = -5*k - 32*k + 9913. What is the remainder when k is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 k, and 1 o when four letters picked without replacement from wwkzzooowwowwkwkww?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-184) - 103\/412) + (-324)\/(-23).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-3))\/(-4) + (-424)\/(-318). Let q(m) = -2*m**3 - 2*m**2 + m. Let g be q(-2). Solve -l + 19 = -3*u, -2*l = -3*u - g*l + t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*x**5 + 30*x**5 + 27*x**5 - x**5 + 0*x**5 + 2*x**5 + (-3*x + 5*x - x)*(4*x**3 + 2*x**4 - 4*x**3) + 3*x**5 + x**4 - x**4.\nAnswer: 119*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 2*l + 5. Let p be v(3). Solve 17*g**2 - p*g**2 + g + 2*g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h*h\/h**(-10)*h**(2\/7)*h**(-4)*h)**(-10))**(-2\/3) assuming h is positive.\nAnswer: h**(1160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25699 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -17224.39 and 1.\nAnswer: -17223.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, 334, 1266, 2704?\nAnswer: 4648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 1c507?\nAnswer: -1c505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*p**3 + 6*p**2 - 41*p - 106356 wrt p.\nAnswer: -21*p**2 + 12*p - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -151, -342, -607?\nAnswer: -946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142688 - 0.3.\nAnswer: -142688.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011811 rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2531? (a) -2199 (b) 1\/7 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 112, -0.652, 5, -23, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 21 + 17 - 39 + s**2. Let d be k(-2). Suppose z + 5*h = d*z + 9435, -9439 = 2*z - h. Round z to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-2) + (-5016)\/(-608)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(15)\/sqrt(3) + sqrt(495)\/sqrt(11))**2 - (sqrt(45)*-2*3 - sqrt(45))\/(sqrt(1089) + sqrt(1089)*1).\nAnswer: -169*sqrt(5)\/22 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-3 + 13 - 4) + 20\/2 and (4 - 5 - -34)*(-8)\/(-6)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) 1 (c) -2\/17 (d) 0.2 (e) 50 (f) 4\/243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335 = 4*g + 277. Calculate the common denominator of ((-3950)\/816 - -3) + 18\/g and -137\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + -2.08. What is the nearest to f in -1, 5, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*c**2 + 25*c**2 + 21*c**2 - 7.\nAnswer: -6*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4563*b = -4440*b - 13880 - 4862 + 3244 for b.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.298517 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -x + 3 - 7, 2*x = 2*t - 20. Sort 25, 4, -5, x, -3 in descending order.\nAnswer: 25, 4, -3, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjnjjjjjjjjnjjjjjj. What is prob of sequence jnj?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2236.565*0.2\nAnswer: -447.313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -121.2? (a) 0 (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30694\/6 + (-580)\/(-174).\nAnswer: 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 36*u. Let l(i) = 1116*i**2. Determine a(l(b)).\nAnswer: 40176*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d = -392*d + 75088 - 26474 for d.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + u + 15. Calculate z(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-6))**(-1\/12)\/(((b**(6\/5)\/b)\/b*b)\/b**(-4\/19)) assuming b is positive.\nAnswer: b**(7\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 628588 by -3.\nAnswer: -628588\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzhchhhhhzhhchzchzhh. What is prob of sequence ch?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2044)\/(-1095)*216\/1680*(-15)\/(-33).\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 93384 = 5*q - 2*q. List the prime factors of q.\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-164)\/24 - -7)*3. Let n = -8.1 + 5.9. Let w = 439\/24 + -56\/3. What is the closest to 0 in n, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l + 30. Let n(d) = -7*d + 29. Let z(g) = -5*n(g) + 4*s(g). Calculate z(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -26*i + 14*i + 11*i + 7 - 6 + 22. Calculate m(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {u: 2, x: 6}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w - 42. Calculate j(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331 + 103?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y - 16*y + 48*y - 8*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**3)**(2\/5)*(z**1\/z)**49 assuming z is positive.\nAnswer: z**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 167, 388, 707, 1130?\nAnswer: 1663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 6*j - 5. Let d = 23 + -25. Let n be o(d). Solve -y = 3*u + n, 0 = y - 2*y + 3*u - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 5*a - 3. Let k be r(-4). Let z = k + 73. Suppose 2*h - z = 26. Calculate the remainder when h is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*f - 17, 0 = 8*f - 4*f + 4*z - 28. Suppose 0 = -14*d + 18*d. Solve d*n**2 - 2 + 3*n - f*n**2 + n = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1192637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-150) - 427\/(-25)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(-2 + sqrt(5) + -4 - sqrt(720)))**2.\nAnswer: 52800*sqrt(5) + 256400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g\/(g*g*(g**8*g*g)\/g*g))))**(-1\/24) assuming g is positive.\nAnswer: g**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 34*d - 29*d + 2*i, 0 = -10*d + 4*i - 46 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 947000 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1786995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 5*a - 38, 0 = 193774*s - 193771*s + 2*a - 10 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**2 - 6*j + 39. Let s(a) = -6*a + 17. Calculate 11*c(b) + 4*s(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6 + 221\/39)*(49 + 1097). What is the highest common divisor of 36 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6447504 is divided by 559?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 9*x - 7. Let v be w(-10). Suppose t + 4*n = -5, -v*n - 8 = -3*t + 7. Solve b - q - 1 = -0*b, 2*q + 2 = -t*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40163700*i**3*u - i**2*u - 3*i**2 + i*u - i + 60289*u - 1661 wrt i?\nAnswer: -240982200*i*u - 2*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*s = 3*s - 29, 0 = -t - 4*s + 32. Suppose -24 = -3*k + t. Find the common denominator of -4\/7 and 1 + 0 - 26\/k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -1\/2770 (c) 0.4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 24 = -z. Suppose 131 = -z*s + 191. What is the common denominator of s\/56*14*3\/72 and -71\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from {f: 1, k: 3, l: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71352 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (453\/(-1510))\/(4\/5)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2612.2 + 2612.4. What is the nearest to -2 in 3, 0.103, -2\/3, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8429664 by 15216.\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**3 - 11*v**3 + 18*v**3 + v**3.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -2\/11 (c) -1 (d) 1\/4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110000000010100010100110 - -100?\nAnswer: -1100110000000010100010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + k**2 + 3475 - 3475.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1270 - -487. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -797588400 to the nearest 100000.\nAnswer: -797600000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 12.93. What is the second smallest value in -1, -2, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -20*k**3 + 28180*k**2 - 210505*k + 392420 = 0.\nAnswer: 7\/2, 4, 2803\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 l, and 1 r when four letters picked without replacement from {l: 2, r: 2, t: 10, v: 6}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*s - 171, -3*u - 4*s = -u - 336. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/6 bigger than 225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 14*q - 34. Let o be p(10). Solve -c + 0*c + o = 2*z, -4*z - 5*c = -6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -349\/2050 - 9\/82. Let h = i + 86\/575. Are h and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41483 - 41483 + j + 4*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/79 and -77\/8.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -111765 divided by -15\nAnswer: 7451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 62770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 9 + 2*x - 5 + 4. Let y be s(-14). Solve -y*f - 3*c - 3 = f, -4*f - 2*c = 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 108123 and -13?\nAnswer: -1405599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00086 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/56*7\/10. Sort 2\/9, -3, -0.4, p.\nAnswer: -3, -0.4, p, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157500584 divided by 227602.\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.958181 millilitres in litres?\nAnswer: 0.008958181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbzbbzbb. What is prob of sequence bbzb?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 86578 <= 86577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 74*m**7\/105 + m**6\/60 - 7*m**5\/60 - 33*m**4\/4 - 5*m**3\/6 + 2*m**2 - 814*m. What is the second derivative of k(j) wrt j?\nAnswer: 1776*j**2 + 12*j - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 10*y + 4. Let s be t(-5). Suppose -352 = -90*i + 98*i. Let z = i - s. Solve -3*a + z*a = -4*p + 7, -4*a - 17 = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -138209, 4, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6570? (a) 0.4 (b) -2\/5 (c) 2 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2030510 (base 8) to base 9.\nAnswer: 1007440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -0.7. Let n = 11 + -5. Let i = n - 4. Which is the second smallest value? (a) i (b) 3\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2954773*w**4 + 2698134.\nAnswer: 11819092*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23932.6 and 0.2.\nAnswer: -4786.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 14302.52 to the nearest ten.\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -27*g + 22*g + 40, -3*m = -3*g + 24. Solve 111 = g*l + 103 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.66691 - 39\nAnswer: -46.66691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 167, 584, 1397, 2738, 4739, 7532, 11249?\nAnswer: 16022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**20*v)\/v*v**(-6\/17))**42 assuming v is positive.\nAnswer: v**(14742\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 48*r - 3811 - 2002 = -1393 for r.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 95?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {e: 7, q: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -17. Suppose 4*i + 0*i - 3*a = 14, -i + l*a + 12 = 0. What is the second derivative of 9*x**i + 71*x - 62*x + 0*x**2 wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(4\/((-156)\/(-3))). Suppose 3*p = k + p - v, 0 = -4*k + p + 451. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(12)\/(sqrt(16)\/sqrt(4)) + 3 - ((sqrt(243) - (1*sqrt(243) - sqrt(243)))*-6)**2.\nAnswer: -8745 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3779, 7559, 11341, 15125?\n\"Answer: h**2 + 3777*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(500)*2)\/(sqrt(90)\/(2*sqrt(9))).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5928 - -5928.28. What is the fifth smallest value in -4, 2\/3, -0.02, 0, n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3313 and 158.7119.\nAnswer: 3471.7119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-10))\/((-9)\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 11*m**2 + 18*m - 103. Calculate n(4).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9986 < 9987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9289, 36349, 81209, 143875, 224353, 322649, 438769, 572719?\n\"Answer: w**3 + 8894*w**2 + 371*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + d. Suppose 4*m = p + 12, 2*p + 2*p = 3*m - 22. Let b(l) = 5*l**2 - 19*l + 23. Let r(f) = m*b(f) - 6*w(f). Factor r(i).\nAnswer: -2*(i - 1)*(i + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 7974 = -5*c - 2*c. Which is bigger: c or 1330?\nAnswer: 1330","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 0) + -32 + -2. Let w = 7338.8 + -7339. Put w, 4, m, 3 in increasing order.\nAnswer: m, w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 12:52 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233031925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-54) + 1\/(18\/50). Let d be (z - 4) + 10\/8. Sort -4\/11, d, -0.4 in descending order.\nAnswer: d, -4\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -11. Is 16 a factor of (-2 + (-4)\/x)*-12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(72) + ((sqrt(72) + -2)*-1 - sqrt(72)))*-6.\nAnswer: -36 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffbkkaamfaarfrrkf. What is prob of sequence bk?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3038 - 1.22\nAnswer: 3036.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-2)\/(-2) + -5). Let m = 14 - 17. Let y = -2 + 1.5. Put m, n, y in increasing order.\nAnswer: m, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20852 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 = -6. Let q be (-10)\/(-2) - z\/(-2). Suppose q = 2*u + 3. Solve 0 = 6*y - y + 2*f, -16 = u*y + 4*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150967163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5937.05449 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2269373 is divided by 13424.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3971, 3973, 3977, 3983?\n\"Answer: t**2 - t + 3971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + j = 37, 2*y - 2*j - 2*j + 4 = 0. Let m(x) = -3*x - 19. Let f(k) = 2*k + 20. Let o(d) = 4*f(d) + 3*m(d). Does 7 divide o(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53250 + -264?\nAnswer: 52653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/12 + 4441*g**2. Let t(l) = 70*l + 2. What is a(t(q))?\nAnswer: 24500*q**2 + 1400*q + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 21*t - 11*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 - 14 - z**3 - 4*z**3 - 10.\nAnswer: -z**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 11*j - 43. Let o be x(-14). Let m be 2*(15 + -3 + (-4)\/o). Suppose -7*d + 59 = -m. Calculate the remainder when 76 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 5:35 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 4*g**2 - 6*g + 7. Determine s(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 0*s + s**3 + 1 + 7*s + 11*s + s - 20*s. Let n(w) = 8*w**3 - 7*w + 7. Let c(h) = h**2 - 17*h - 13. Let a be c(18). Calculate a*n(o) - 35*u(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwwq. Give prob of picking 1 q and 2 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18500\/9 - -2060. Let z = -445\/2 - -215. Calculate the common denominator of h and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfvv when four letters picked without replacement from {f: 1, v: 3, t: 1, a: 2, e: 4, u: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*c**2 + 92*c**2 - 2 + 52*c**2 - c**3 - 5*c as f*c**3 + b + g*c**2 + r*c and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 + 36 - 291*x**3 + 68 + 33 - 483*x**3.\nAnswer: -774*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (281 - 7 - 8) + -5. Let n = -99 - -128. What is the greatest common factor of n and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 241641 - 4?\nAnswer: 241635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -51 (b) -0.2 (c) 0 (d) -3 (e) -8 (f) -4 (g) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-4 - 1) + 1. Let l be (x + -1)*(-1 - 0). Suppose l*u + 9 = 8*u. Solve -u*o - 2*o = -15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 1329 (c) -241\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 940328151 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 26. Let s(y) = 0 - 2*y**2 + y**3 - 5*y + n*y**2 + 1. Is s(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1333390 to the nearest 1000.\nAnswer: 1333000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/114098 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1201 - 12. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6966, -7395, -8132, -9183, -10554, -12251, -14280?\n\"Answer: -t**3 - 148*t**2 + 22*t - 6839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/3*(-30)\/4. Let a(f) be the third derivative of f**6\/120 + f**5\/60 - f**3\/6 + 246*f**2. Let c(b) = -6*b**3 - 10*b**2 + 10. Give p*a(i) + c(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 971601936?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5205787619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + -4 + 4 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -17*(3 + (-6 - 1)). Solve -f*i - 3 = -71*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l*l\/(l*l*l**(-1\/2)*l*l))\/l)**(3\/20)*l**(-1)*l**(-4) assuming l is positive.\nAnswer: l**(-203\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22737.\nAnswer: 3, 11, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/4 of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 36*f + 6240.\nAnswer: -3*(f - 52)*(f + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*z = -39*z - 186608. Are z and -1745 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39388\/9 in 2, 1, -0.1, 0, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54430401 is divided by 131?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 326376.7055048 - 326378. Let r = -121.2957252 - v. Let b = r + 120. What is b rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 651 and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 513 and 101078727.\nAnswer: 909708543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k = 21*k + 30. Let c be 43\/15 - (-4)\/k. What is the first derivative of 28*y**2 - 28*y**2 - 10 + 10*y**c wrt y?\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7787 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, a: 3, p: 6}. Give prob of sequence app.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -2 + (-1 - 2) + 5. Solve -5 = -o*g - 2*r, r = g - 0*r - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2309\/(-1))\/((-26)\/26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8628 + 8790. Is d less than -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w**2 + w - 8. Let c be o(4). Calculate the greatest common divisor of 20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-26)\/(-3)) + (-16)\/(-24). Let j(g) = -2*g - 2. Give j(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbbpblponqlq. Give prob of picking 1 l, 1 p, 1 b, and 1 o.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 6, -l = -w - 1926 - 1508. Let n = 355 - w. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.7 and -1839.\nAnswer: -1843.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9962842l to millilitres.\nAnswer: 996.2842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -528, -974, -1432, -1908, -2408, -2938?\nAnswer: -3504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -1\/43, 8, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16077 and 2875?\nAnswer: 2009625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x - 42*x = 1204. Let k = 301 + x. Find j such that j**4 - 1\/3*j**3 - 2\/3*j**2 + k + 0*j = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -237461333 - 16305.\nAnswer: -237477638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 95713380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1713*u - 569. Let b(q) = -214*q + 67. Determine -51*b(a) - 6*g(a).\nAnswer: 636*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*(sqrt(180) - (3 + (sqrt(180) - 3*sqrt(180))))*2 + 5 + -5 + -3)**2.\nAnswer: -288*sqrt(5) + 6496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1700)*-3 + 2*sqrt(153) + ((sqrt(561)\/(sqrt(66)\/sqrt(6)))\/sqrt(3))**2*1).\nAnswer: -72*sqrt(17) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1398, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 0. Let t be 6\/39 - 74\/(-26). Let p(x) = -b*x**3 + 2*x**2 - 3*x + 3*x**2 + 3*x**t - x**3. Calculate p(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -695900904*h**3 - 4*h**2 + 4*h + 8466063 wrt h.\nAnswer: -4175405424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from fqkfi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14719.482us in hours?\nAnswer: 0.000004088745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(5\/3))\/(s*s*s**18\/s*s*s) assuming s is positive.\nAnswer: s**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (6 - (-3 + 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -446, -1040, -1884, -2978?\nAnswer: -4322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1071158 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (-24)\/(0 + 3). Let c = -71 + 214. What is the highest common factor of c and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7509300?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 2\/3, 0, 190 in increasing order.\nAnswer: -30, 0, 2\/3, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {j: 2, q: 1, x: 2, n: 2, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2 - 9778*i - 1127688 = 0.\nAnswer: -114, 9892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 2*t - 9*t - 4 + 8*t. Let j(z) = -3*z + 3. Let y(n) = 2*n - 3. Let q(f) = 4*j(f) + 5*y(f). Calculate 5*m(c) - 6*q(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4024, 1876, -1720, -6764?\nAnswer: -13256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**2 + 64117*i + 64118 = 0?\nAnswer: -1, 64118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 293?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 511680 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 + 57. Suppose 8*z - 3*z = -f + 45, 0 = 4*z - 8. Let u = f + q. What is the remainder when 34 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3428 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5405 - 6469 = -2*r - 3*y, -2*r + 11884 = -2*y. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a - 32 = -42*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -52*o**3 - 5*o**2 + 5*o + 5. Let u(m) = 651*m**3 + 62*m**2 - 62*m - 62. Calculate -62*q(t) - 5*u(t).\nAnswer: -31*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -1.1. Let o be -6*(9\/(-3) + 2). Let f be (o\/24)\/((-14)\/16). Sort -3, a, f in descending order.\nAnswer: f, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3\/5, -1\/4, -7.56619?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q + 15 = 0. Let i = q - -20. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 52?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*j - 5*p + 2, 0 = -2*j + 3*p - 5. What are the prime factors of 769 - ((0 - 0) + 8)\/j?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 1)*(1 + 2 - 1) - 9 + 2 + 4)*(3*d**4 - 5*d**4 - 2*d**4).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-678)\/(-84) - 8)*4*13909?\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 20 = -2*t. Let y = 5 - t. Suppose -3*b + 158 = 5*m, -4*b = 2*m + y - 76. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbab when four letters picked without replacement from {b: 7, a: 9}.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by 25\nAnswer: -27\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32513 divided by -55.\nAnswer: 32513\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4117*d - 6*d**2 + 4117*d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8919\/(-991)*((-4)\/(-2))\/(-30)*2.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 4 (c) 1 (d) 0.4 (e) 2\/9 (f) -2008\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 346\/9 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bupot. Give prob of sequence ptou.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*d - 606, 4*d - 3*f - f + 1204 = 0. Let t = -9 - d. What is the highest common divisor of t and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -200718 - -538?\nAnswer: -200180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -674 + -377260?\nAnswer: -400154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z - 10. Let h be a(-3). Let k(g) = -g**2 + 4*g. List the prime factors of k(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 2*c - c**2 + (-3*c - c + 3*c)*(278 - 341 - 611)*(-c - c + 0*c) to the form y*c**2 + o*c + a and give y.\nAnswer: -1349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -301, -257, -195, -115, -17?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o - 90 - 14 = 2*v + 8, 0 = -v + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 166, -3, -4, 6.\nAnswer: -4, -3, 3, 6, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1875\/8 smaller than -233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-617*d**2 + 125*d**2 - 1223*d**2)*(3 + 2 - 1)*(2*d + d - 5*d).\nAnswer: 13720*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209597*j - 14 + 14 - 419198*j + 209601*j - 573*j**2.\nAnswer: -573*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 9195*m**3 - 4*m. Let n(o) = 18389*o**3 - 9*o. Calculate 9*k(w) - 4*n(w).\nAnswer: 9199*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (6 - (5 + 8)) + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 102 = -0*d. Calculate the remainder when d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 2*b - 2*w, -11*b = -12*b - w + 113. What is the lowest common multiple of b and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2113699 + -3681521. Let i = -3137822 - j. What is i rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (5*(1 + sqrt(325)) + sqrt(325))) + 2 - (0 + ((sqrt(832) + 1)*-2)**2)) + 3.\nAnswer: -3332 - 89*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -846*q + 30536. Calculate g(36).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 20353950 to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4620, 18430, 41438, 73644?\nAnswer: 115048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 22*p**2 - 72*p + 22. Let h be y(3). Solve 12 = h*i + 4*t, -i + 4*t + 7 = 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11241 and 11799.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 5, a: 6, z: 4, i: 4}. What is prob of picking 1 b, 1 l, and 1 a?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*m + 6. Let q = m - -5. Solve q = -5*l + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-840)\/(-336)*(4\/50)\/(2\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.663741 days in minutes?\nAnswer: 11035.78704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/17474 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10838\/7 - 1548. Determine z so that p*z**2 + 0 + 0*z + 6\/7*z**3 = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98175463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*v**2 + 46*v**2 - 187*v**2 + 42*v**2.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 3*x - 4. Calculate the remainder when t(9) is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25022\/7 - 3574. Factor -x*j**2 + 12\/7 - 8\/7*j.\nAnswer: -4*(j - 1)*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622*j - 25547 = 13017 for j.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 5067 and -57839.\nAnswer: -52772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2980*n + 256286. Determine k(86).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a + 4*a - 3*a**2 + (-2 + a + 2)*(0 - 2*a + 0) as m*a**2 + u + g*a and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 856848337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 174080279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6621.\nAnswer: 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 11. Let l be q(-9). Suppose -5*g + 5*m + 12 = -8, 0 = -l*g - 3*m + 8. Suppose 34 = -g*o + 5*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, s: 1}. What is prob of sequence ys?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3050*i**3 + 3048*i**3 - 6093*i**3 + 281*i**2 as y*i + p*i**3 + q + t*i**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-7))\/(9\/70*(-2230)\/(-5352)). What is the greatest common divisor of n and 904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 3*o + 2. Suppose -3*x - i = -24, 5*i = x + 5 + 3. Let u be p(x). Let k = -21 - u. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 765*p**3 - 696*p**2 + 10. Let s(y) = 3061*y**3 - 2785*y**2 + 45. Let w(a) = 9*k(a) - 2*s(a). Find the third derivative of w(g) wrt g.\nAnswer: 4578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -90366266, -180732529, -271098792?\n\"Answer: -90366263*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1436\/35 + -208\/5. Let y = 0.4 + 8.6. Let d be (2\/(-8))\/(((-100)\/(-10))\/(-10)). Put o, y, d, -0.2 in decreasing order.\nAnswer: y, d, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 15 = 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 10. Let s be (-24)\/b - 2\/(-1). Is 86\/4 - 4\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*r = -5*q + 169*r + 32521, -2*q = -3*r - 12997. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-700)\/200)\/((-2)\/2 - 3) - 1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 684 by -171.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -2*m**3\/3 - 3*m**2 + 3*m. Let y(z) = -9*z - 11. Let i = -599 - -604. Give i*j(u) - 2*y(u).\nAnswer: -2*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -860*r - 14139 = 2201 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - 20*d - d**3 - 15*d - 3*d in the form y + u*d**3 + q*d**2 + v*d and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1111091 less than -1110982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324885 and 2125365?\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 674, 684, 702, 734, 786, 864?\nAnswer: 974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 556679510 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.56304249 to 1 dp.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 626 - 926. What is a rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*j**3 + 11*j**3 - 79*j**2 - 5*j**2 + 2*j**3 + j**2 - j**2 + (j - j - j**2)*(-4 + 4 - j) to the form u + n*j + h*j**3 + g*j**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12538*z**2 - 2*z - 12118 wrt z?\nAnswer: 25076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 52? (a) 1 (b) -23\/16 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4407941.\nAnswer: 347, 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184 and 92.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12291935 or 2?\nAnswer: -12291935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8898*g**3 - g - 8899*g**3 + g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11895247 is divided by 10290.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 - 99*f + 2. Let h be p(-25). Put -3, 3, h in decreasing order.\nAnswer: 3, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -37. Let d = w + 32. Suppose -n + d = -15. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10\/51 + 8\/17. Let k = -133\/172 + 1\/43. Put k, j, -1\/8 in ascending order.\nAnswer: k, -1\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y = -41. Suppose 4*r - r - m - 112 = 0, r - 4*m - y = 0. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 254 + 231*w**2 + 4329*w - 4309 + w**3.\nAnswer: 3*(w - 1)*(w + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**4 + y**3 + 1. Let s(h) = 28*h**4 + 3*h**3 - 4*h**2 + 3. Let i(x) = -s(x) + 3*t(x). Find the third derivative of i(c) wrt c.\nAnswer: -744*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/2 - 195*j\/2 + 99.\nAnswer: -3*(j - 1)*(j + 66)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Suppose 291 = 4*s + 107. Suppose -4*d = -u - 44, 3*u + s = 3*d - u. Solve -5*x = -10*x + d, -10 = -2*n - i*x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 21. Let z(p) = -4. Determine -2*v(j) + 11*z(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4409267 - -4409269. Let v = -1 - -4. Factor -1\/2*n**r - 4\/5*n - 2\/5 - 1\/10*n**v.\nAnswer: -(n + 1)*(n + 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 9*f**2 - 20*f + 22. Let c be t(-11). Suppose -3*v - 2*w + 3173 = c, 5*v - 6662 = w - 1352. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 13*o. Let h(v) = 28*v. Let g(k) = -6*h(k) + 13*i(k). Let n(d) = d - 5. Determine g(n(a)).\nAnswer: a - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 37*n**2 + 36*n - 71. Let p be j(-38). Put -615, p, 2, 1 in increasing order.\nAnswer: -615, 1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 - 804273244648.\nAnswer: -804273244746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -358, -558, -756, -952, -1146?\nAnswer: -1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 0, 0.5, -0.270555, -3?\nAnswer: -0.270555","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*c, -5*f + 54 = -4*c - 0*c. Let d(t) = 9*t - 5. Let x(o) be the third derivative of o**4\/6 - o**3\/3 + 668*o**2 + 3. Give f*x(u) - 4*d(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 37*j - 15. What is m(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12*g**3 - 4*g**2 + 4*g + 4. Let q(b) = -13*b**3 + 5*b**2 - 5*b - 5. Suppose 2*z - 3*y + 22 = 7*z, 4*z - 5*y = 25. What is z*p(j) + 4*q(j)?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 smaller than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1859 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*x - 4*c, -3*c + 7*c - 36 = -4*x. Let b be x\/30*(0 + 5). Factor t**b - 2*t + 0*t + t.\nAnswer: t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 8338*i.\nAnswer: -2*i*(i - 4169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001100001 (base 2) in base 12?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a. Let w(h) = 3*h + 2. Let t(z) = -80*z - 55. Let y(i) = 4*t(i) + 110*w(i). Let g be (5*-1 + 2)*3. Let b be (42\/g)\/(1\/3). Give b*f(s) - 4*y(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 + 16*r**2 + 14*r**2 + 23*r**2.\nAnswer: 3*r**3 + 53*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93 and 47907.\nAnswer: 1485117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77, 81, 85?\n\"Answer: 4*b + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 20 = 5*k, 0 = -2*k - 4*b + 359 - 351. Solve -3*c - 3*f = -0*c, -k*c = -5*f - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 51*b**2 + 9*b - 14. Let u(g) = 103*g**2 + 20*g - 29. Let a(v) = -13*f(v) + 6*u(v). Find the second derivative of a(n) wrt n.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k - k)*(2*k - 1 + 1) + 27*k**2 - 73*k**2 - 32*k**2 - 3*k**2 + 0*k**2 - 4*k**2 + (-k - 3*k + k)*(-6*k + 0*k + 3*k).\nAnswer: -80*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/5 - 6739176*r + 33695878\/5.\nAnswer: 2*(r - 16847939)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2. Let u(k) = 156*k**2 + 4. Let m(g) = 328*g**2 + 9. Let c(y) = -4*m(y) + 9*u(y). Determine z(c(i)).\nAnswer: -8464*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from {b: 2, f: 5, z: 4, a: 2, j: 4}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.5 - -15. Is k < 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x**2 - 4*x**3 + 9*x**2)*(-2 - 2 + 3)*(4*x + 2*x - 2*x).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 4:01 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a**(1\/13)\/a)\/a)\/a))\/(((a**12*a*a)\/a)\/a)*a**(-9)\/(a*(a\/(((a**(-3\/10)*a)\/a)\/a))\/a) assuming a is positive.\nAnswer: a**(-2519\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8513474?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 8\/9, 0.1, -376?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.98 - 5. Let n = 0.02 + g. Let b = -1 + n. Are -1\/2 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/((-5)\/30). Suppose -5*y - 4 = 5*s - 3*y, -q*y - 8 = -5*s. Suppose 4*w + 15 = 9*w. Solve -4*c - w*g - 1 + 22 = s, -5*g = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 5312.\nAnswer: -10624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m**2 + 9*m**3 - 16*m**2 - 11*m**2 + 39*m**2.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + sqrt(171) - ((-1 + sqrt(171))**2 + 5) - -1*(sqrt(171) + -1 + (sqrt(171) - (1 + sqrt(171)))).\nAnswer: -180 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -105*j + 1029. Is 111 a factor of y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454668.4 days to microseconds.\nAnswer: 39283349760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 484123949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 5*x = -h + 20, -4*h + 23 = 3*x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20771*-6\nAnswer: -124626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/6 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 227.245mm in micrometers?\nAnswer: 227245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -75 + (3 - (-9)\/(-3)). Let w be 1\/((-3)\/b) + 3. Let j = -12 + w. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**3\/3 + 5*m**2\/2 - 4*m + 2. Let p be u(4). Solve -5*n = d - 0*d - 6, p = -3*d + n - 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3795 - -3804. Let d(q) = -q**3 - 3*q**2 + 4*q - 1. Let p be d(-4). Let g(s) = 6*s**2 + s. Let n be g(p). Solve -n*c = b + 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 23398446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5.9058, -2\/5, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6 - 4 + 6 + 0*k + k. Is 13 a factor of t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -2. Let d = 9 - w. Solve d*q - b = 3, 4*q - 2 = 2*q + 5*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11201 - 1612?\nAnswer: 7367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9596?\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + (-8 + 6 - -3) + -20.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 949256 less than 13715?\nAnswer: -935541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14*(5 + -12). Suppose u*l + 10 = 52. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7521838739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 627982 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -29.4. Let y = -1\/5 - 1\/20. What is the second smallest value in x, 6, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + g - 1. Let y(l) = 363*l**2 - 484*l + 484. Give -484*d(f) - y(f).\nAnswer: 121*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 42 - 17. Is (-2)\/l - 615\/(-25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/3*10\/30?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-2 + 2*y + 2)*(-3*y + y + y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24375 and 2496?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134397, -268795, -403193?\nAnswer: -537591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = -13*w + 228. What is the remainder when w is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436665 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: Which is the smallest value? (a) 0.4 (b) -3 (c) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*p - 443 - 255, -4*p = -3*d - 556. Calculate the greatest common divisor of p and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 117214, -0.2 in decreasing order.\nAnswer: 117214, 3, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r + 896 = -32*r. Suppose -2*b + r = 4*s, 0 = 5*b - s + 2*s - 244. What is the greatest common divisor of b and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6 - 9*n + 10*n + 19 + 24*n**4 wrt n.\nAnswer: 288*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5\/4 - 7725*m**4\/4 - 4402011*m**3\/2 + 12435967461*m**2\/2 - 99302053389*m\/4 - 124182784605\/4 = 0. Calculate m.\nAnswer: -1763, -1, 5, 2167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1\/(587\/(-147) + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 248, 1, -1, -4, -11, 39 in decreasing order.\nAnswer: 248, 39, 1, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 17*a + 51. Let g be t(-20). What is the hundreds digit of -60*(g - (-8)\/(-16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -2. Let w = f - -4. Let j(d) = -d**3 + d**2 + 7*d - 3. Let z be j(3). Which is the third biggest value? (a) w (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 26 - 33 + 8*s**2 + 84.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < 2\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 0 + 0*w + 1\/30*w**5 + 0*w**4 + 0*w**3 - 29*w**2. Let y(d) = -28*d**2. Calculate v(y(u)).\nAnswer: 1568*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 10*c - 6*u + 452, -4*u + 111 = -3*c for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d**3 + 6*d**2 - 16*d - 3. Let s(p) = -8*p**3 + 4*p**2 - 15*p - 4. Calculate 5*o(b) - 4*s(b).\nAnswer: -3*b**3 + 14*b**2 - 20*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -28*o + 27. What are the prime factors of b(-5)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -457, -314, 45, 728, 1843, 3498, 5801, 8860?\nAnswer: 12783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x*x*x\/(x**(-1)*x)*x)))**(2\/27))**(-7\/9) assuming x is positive.\nAnswer: x**(-70\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/149 + 238\/2235. Let s = -4.3 + 0.3. Let c(j) = 4*j**2. Let g be c(1). What is the nearest to 1 in x, g, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9537 + 9539.3. What is the smallest value in 0.11, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, d: 2, t: 6, f: 4}. Give prob of picking 1 d, 1 t, and 1 o.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 13212*q**2 + 494176*q - 480960.\nAnswer: -4*(q - 36)*(q - 1)*(q + 3340)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.2 - -1.2. Let f = 12 + -8. Let u = h + f. Which is smaller: u or 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 0*(-1)\/(-3). Suppose 5*i - g*i = 0. Let r be 5\/(-4) + (i - -1). What is the biggest value in 1, r, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.1 (c) 0.09 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {v: 2, u: 17}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387112.\nAnswer: 2, 11, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/4 - 1131\/(-234).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -31*c + 35. Let d be g(-20). Is (-4)\/1 + (d\/5 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 6*m + 40)*(-2*m**4 - 47 - 6*m**3 + 47).\nAnswer: -12*m**5 - 36*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5776 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + 11 - 1\/(-1). Let l = b - 0. Solve -4*g + g + 5 = l*k, k - 3 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 8, c: 1, s: 2, z: 4, d: 2}. Give prob of picking 1 s and 1 z.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 12*c = -3*m - 15, -m = -4*c + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2165 - 821. Let h be ((-27)\/d)\/(300\/(-175)). Is h greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 15. Let c be m(-15). Let p(k) = 3*k**2 - 4. Let h be p(2). Find the second derivative of -o + c*o**4 + o - h*o**4 - 9*o wrt o.\nAnswer: -96*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282403?\nAnswer: 11, 25673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*k = 19, -12 + 16 = -2*o + 2*k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 5*r - 12, 1 = -3*r + 5*h + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 2 = -13*c + 156 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60345.87km in millimeters?\nAnswer: 60345870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-28)*16\/100\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-14) - (-2)\/1. Let i = -963 + 963. What is the smallest value in f, 1\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3 + 22. Let v(f) = -f**3 + 2*f**2 + 17*f - 11. Let r be v(c). What is the remainder when 73 is divided by (r + 4)\/(6\/((-324)\/(-6)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q + 3. Let k = -441 + 390. Suppose 37 = -u - 11. Let f = k - u. Determine y(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 3*v - 88.\nAnswer: (v - 8)*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(3) + sqrt(18)\/sqrt(6)*6)**2 + 1) + ((sqrt(3) + -1)*-6*1*5)**2.\nAnswer: -1800*sqrt(3) + 3304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 8. Let a be o(6). Suppose 3*h - 2*b + 0*b = 26, 4 = 2*b. Calculate the highest common factor of h and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**3 + 295*v**2 - 4095*v + 16605 = 0 for v.\nAnswer: 9, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 485731496?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(114) + sqrt(114)*-1)*4 + sqrt(114) - (sqrt(114) + -1*sqrt(114)*-2)))\/(-1*sqrt(6)*5 - 6*sqrt(48)\/sqrt(8)).\nAnswer: 12*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 + 55 = -3*o. Let n = -131 + 137. Calculate the greatest common divisor of n and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 1\/5*a**4 - 2\/5*a**2 - 1\/2*a**3 - 1\/50*a**5 + 8\/5*a - 21. Factor d(f).\nAnswer: -(f - 4)**2*(f - 1)*(f + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -1*2\/2. Let w be -1 - (-45 + -3) - -1. Suppose 2*o - 5*x = w, d*o + 3*x = -3*o + 120. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 185*d**3 + 45*d + 7. Let n(t) = 92*t**3 + 18*t + 3. Calculate -5*n(u) + 2*q(u).\nAnswer: -90*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7085076.98 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.465 + -1.965. Which is the third biggest value? (a) -0.2 (b) 0 (c) 138 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-15 - (-765)\/18).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 - 16*h\/7 + 30\/7.\nAnswer: 2*(h - 5)*(h - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 136 (c) 0.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/((-210)\/195) + -2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/12 - (-25)\/2. Let n = 38 - w. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 23*o**2 + 19*o - 67. Let y be g(-22). Let a be 146\/8 + 60\/(y + 13). Is 22 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -502997 less than 79.4896?\nAnswer: 503076.4896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*q = 532*q + 4 - 48 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -4669\/1224, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uda when three letters picked without replacement from adduaaua?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-214)\/(-4)*-4 - 2. Let g = 220 + f. Let a(m) = m**3 + m**2 - 3*m + 2. Let n be a(2). Solve -g*l + 13 = -3, 4*r + n = l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g + 6. Let l = -23 - -22. Let w be (-15)\/(-5) + (0 - l). Let v(f) = 2*f + 5. What is w*a(p) - 5*v(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*d**2 + 217*d**2 - 509*d**2.\nAnswer: -544*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/4314?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-377)\/(-117) - (-3 + 1). What is the second smallest value in 1\/7, -3\/10, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 116. Let u be r(-19). Solve -129*x + 12 = -u*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 1. Let v(u) = 6*u - 1. Give -3*f(p) + v(p).\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 51?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1\/77, -3150\/17?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*d + 11*d + 552 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31746?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 132383.957 rounded to the nearest ten?\nAnswer: 132380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/3912 and -133\/6684?\nAnswer: 2178984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -2\/3 (b) 0.2 (c) -2\/7 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 7514562*v - 263007220.\nAnswer: -2*(v + 35)*(v + 3757246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/222599 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 44*q. Let b(j) be the second derivative of -j**7\/1260 + j**4\/4 + 7*j**2\/2 - 89*j + 2. Let c(x) be the third derivative of b(x). Give c(t(a)).\nAnswer: -2*a**4 - 176*a**3 - 3872*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 4*i + 2. Let f be w(5). Let n = f - -80. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*u + 38, 4*u = y - 0*y - 22. Suppose 0 = -f - f - 4*o - 22, 3*o + y = -3*f. Sort f, 2, -4 in increasing order.\nAnswer: -4, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 6. Let b be 2\/8 - 248\/(-32). Let d = b - 9. Sort d, g, 5 in descending order.\nAnswer: 5, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 0*y - 5*y)*(-1 + 1 + 1) - 561*y - 1165 + 274*y + 288*y as s*y + w and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85689148?\nAnswer: 2, 239, 89633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, -13, -33, -63, -103, -153, -213?\n\"Answer: -5*x**2 + 5*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1671, -1455, -1111, -639?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 14*c - 4. Let z be (c - 1) + (-16)\/40. Let q = -4.3 + 0.3. What is the smallest value in z, q, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 45. Find the first derivative of -m**2 - x*m + 32 + 33 + 12*m wrt m.\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*r + 4*g, -3*r + 2*g + 73 = -3*g. Suppose -127*i - 1644 = -7359. Let z = r + i. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 190483530 to the nearest one hundred thousand.\nAnswer: 190500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 + 5*n**2 + 5*n - 2*n**2 - 3. Let c be k(4). Suppose -3*o + c + 17 = 0. Solve -o*m - 4 = -2*m - 2*i, -3*m - 4*i + 8 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + w - 12. Let l be ((-2)\/(-4))\/(w\/192). Suppose 2*x = -y + l, -6*y + y = -3*x + 49. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001573811242 rounded to 7 decimal places?\nAnswer: -0.0000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**14*g)**(-30) assuming g is positive.\nAnswer: g**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15329.\nAnswer: 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u + 9. Let d = -124 - -128. What is t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 33\/(-12)*(-16 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 2*a**2 - a - 2. Let j be l(3). Factor 3*q**3 - 5*q**2 - 3*q + 2*q**4 + q**2 + q**2 + q**j.\nAnswer: 3*q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from {l: 3, h: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 2\/3, -2\/5, -0.086?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/140 + (-12)\/28.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(0 - 1) + 0. Let j(y) = -23*y - 2. Let k(l) = 45*l + 3. Let u(b) = -5*j(b) - 3*k(b). Is u(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**2 + 38*a - 39. List the prime factors of r(-21).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10))**(9\/8)*g**(-5)\/g*g*g\/(g*g**(2\/5)\/g)*g*g*g assuming g is positive.\nAnswer: g**(-253\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:59 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 6:35 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(2560)*-3)\/(sqrt(40)\/(1*sqrt(5)) - -3*sqrt(8)*-2) + 1)**2.\nAnswer: -144*sqrt(5)\/5 + 5189\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5271063 times -1.2\nAnswer: 6325275.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1030 = 3*a + 8*d - 4*d, -3*a + 2*d + 1060 = 0. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646776 to the power of 1\/2, to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -3832?\nAnswer: 2\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 793\/23 in 0.3, 0.2, -0.1, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**3))\/((t\/(t**3*t)*t)\/t)*(t\/(t**0*t))**(3\/11)*(t\/(t*t**(-5\/6))*t**(-3))**9 assuming t is positive.\nAnswer: t**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274 + 284 - 4*l**3 - 558 + 0*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 72 = 7*z + 2*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**2 + 5*g. Let w(z) = -3865 - 5*z**2 + 6*z + 3865. Determine 5*w(a) - 6*x(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2796*l**6 - 49*l**4 + 12320290*l**2?\nAnswer: -335520*l**3 - 1176*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*j - 31 + 8, 4*j = 4. Calculate the smallest common multiple of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(2103 + 68*s - 2103)*(-2*s**3 - s**3 + s**3).\nAnswer: -136*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4 - 1563*b**3 - 182289*b**2 + 950895*b = 0. Calculate b.\nAnswer: -339, -187, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 - 9*h**2 - 5*h - 2. Let x be v(-4). Suppose -4*d + x = 2. Let o = 15 - 2. Solve s - o = -4*z, d*z + 3*s + 13 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 41. Let l(q) = q - 26. Let y be l(6). Let s = y + 24. What is the greatest common divisor of w and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 + 618*n**3 - 6705*n**2 - 48600*n.\nAnswer: 3*n*(n - 15)*(n + 5)*(n + 216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14815, 18240, 21665, 25090?\nAnswer: 28515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-12))\/(2\/15). Let q(c) = c**2 + 3*c + 2. Let w be q(k). Calculate the highest common divisor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 21*w + 184*w + 601*w + 3 in the form d + a*w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 19*o**2 - 205*o + 549. Let x be w(5). Let s = 24.4 - 27. Let k = s + -0.4. Which is the third smallest value? (a) x (b) k (c) -0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616*w + 956 = 710*w - 1112 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063764382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2826 = a, -7*a - 6*s = -9*s - 19772. What is the highest common factor of a and 1356?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-231))\/(5019\/(-2629)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.16 - 2.96. Let s = 11805.04 + -11805. Which is the second smallest value? (a) l (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21\/2, 25, -228, 0.5 in descending order.\nAnswer: 25, 0.5, -21\/2, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0. Let h = -194.4 - -233. Let f = h + -39. What is the third biggest value in -2\/15, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 8 = -o, 7*f = 3*o + 42*f + 100 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63123*a**3 + 43*a**2 - 317*a - 1 wrt a?\nAnswer: 378738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 168133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 25\/4 of a millisecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30710, -122851, -276420, -491417, -767842, -1105695, -1504976?\n\"Answer: -30714*f**2 + f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5.7, 2\/15, 16\/15 in ascending order.\nAnswer: 2\/15, 1, 16\/15, 5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*b**2 + 22*b**2 + 28*b**2 to the form c*b + l + p*b**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 3\/7, -2, 0.1, -40, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1752457 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6\/29)\/(h\/h**(-19))*(h*(h**(4\/5)*h)\/h*h*h*h)**35)**(1\/5) assuming h is positive.\nAnswer: h**(4286\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8489?\nAnswer: 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjvppvpj. What is prob of picking 2 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**4 + 69*m**3\/5 - 15*m**2 + 3*m\/5 + 18\/5 = 0?\nAnswer: -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 297*x**2 - 21*x + 172. What is the thousands digit of i(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1240 (base 6) in base 2?\nAnswer: -100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 times -2158?\nAnswer: 7553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/5 - 619*f**2\/5 - 436172*f\/5 - 346944 = 0. Calculate f.\nAnswer: -417, -4, 1040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (860 + -864)*((-2)\/(-4) + (-38)\/(-8)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4706920159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.1 - 4.1. What is the nearest to -1\/2 in y, -0.2, 36?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 34864960.\nAnswer: -7\/17432480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2 - 4 - -10) + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 1056525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*a + 152 = 0, 0*f - 2*f + 3*a = -73. What is the remainder when 73 + (-4)\/(-2) + (-1 - -5) is divided by f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 1. Let w(m) = m**3 - m**2 - 4*m + 8. Let u(o) = 2*c(o) + w(o). Determine u(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.758093 litres to millilitres.\nAnswer: 8758.093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -542 + u + 541 - 2*u**2 - 4*u**3 + 7*u**2 + (2 - u - 2)*(2*u - 2*u + 3*u**2).\nAnswer: -7*u**3 + 5*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*a + 21009 = 89364. Calculate the lowest common multiple of a and 280.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2\/5 - 572*x\/5 + 40898\/5 = 0.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133 + 120. Let x = 13 + d. What is the biggest value in x, -0.9, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11714 times -19?\nAnswer: 222566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 6.9.\nAnswer: -1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g - 8. Let w be (-8)\/14 - 660\/(-28). Suppose -g*s - w = -3*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16821812 is divided by 764627?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b - 5*b = -50 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95264 by -29.\nAnswer: -95264\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 4*p**2 + 5 + 11.\nAnswer: -4*p**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 13990 + 30822 = 4*l, 0 = -3*l - 2*p + 33602. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28024555 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -154149268\/9 greater than or equal to -17127696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4\/6 - 29*f**3\/6 + 9*f**2\/2 + 29*f\/6 - 14\/3 = 0 for f.\nAnswer: -1, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350048 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2127521 - 2127521 - 13*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*b + 6*b + 839 - 27*b - 39*b - 44*b wrt b?\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -199*w + 13. Is h(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 25. Let s be w(-9). Suppose 2*m + 1 = 3*p, 19 = -4*p + p - s*m. Let j(u) = u**2 + 5*u + 2. Give j(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 3*a**2 - 2*a - 29. Let w be t(17). Let r = w - -32945\/8. Find the common denominator of r and -57\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 2021121?\nAnswer: 2021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -39*t - 404. Let q be k(-10). Let z(y) = y**3 + 13*y**2 - 13*y - 7. Calculate z(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9581, -38249, -86029, -152921, -238925?\n\"Answer: -9556*s**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12561395.\nAnswer: 5, 7, 11, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1539511, -1539510, -1539509, -1539508, -1539507, -1539506?\n\"Answer: g - 1539512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -30. Let m(w) = -103*w**2 + 3*w - 4*w**3 + 2 + w + 102*w**h. What are the prime factors of m(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 770*y**2 - 2*y. Let a(t) = 3083*t**2 - 9*t. What is -2*a(m) + 9*k(m)?\nAnswer: 764*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29382207 minus -1065?\nAnswer: 29383272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -26. What is the remainder when 99 is divided by -6 + y + 1*-2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1361, -5476, -12363, -22046, -34549, -49896?\n\"Answer: -4*m**3 - 1362*m**2 - m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 - 13 + 13 - 16*k + (-4*k - k - k)*(8*k**4 + 6*k**4 - 7*k**4) - 2*k**5 + k**4 - k**4.\nAnswer: -42*k**5 - 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70277.\nAnswer: 31, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181.1 + 181. Suppose -6*h + 7*h = 3, -5*h + 140 = -5*f. What is the nearest to -2\/3 in -2\/9, f, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -10. Let p(w) = w**3 + 7*w**2 - 2*w + 7. Let j be p(-7). What is the units digit of (n*6)\/(j\/56)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 119703844?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15d554a + 3?\nAnswer: -15d5547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 0 - 3*m**2 + 7\/2*m**3 + 35\/2*m**4 - 3*m**5 = 0. Calculate m.\nAnswer: -1\/2, 0, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4639 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3299*m*t**2 - 2*m*t + 9*m - 14*t**2 + 221 wrt t.\nAnswer: -6598*m*t - 2*m - 28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 + 8*u**2 + 2*u**2 + u**3 + (u**2 + 0*u**2 + u**2)*(0*u + 0*u - 2*u) - 2 + u**3 + 2 + 4*u - u**3 - 4*u.\nAnswer: -3*u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2. Let h(j) = 3*j - 6*j + 7*j. Determine h(v(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 132.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165522395 to the nearest integer?\nAnswer: 12866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from lgqleeeqqqe?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13619976 divided by 4?\nAnswer: -3404994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 9*b**2 + 7*b - 14. Let l = -51 + 40. What is the tens digit of u(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 8*b**2 + 5*b - 11. Let c be g(-7). Suppose 0 = l - u - 3, -2*l - u - u + 2 = 0. Solve c = -h + l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2. Let n(v) be the first derivative of 3*v**4\/4 - 4*v**3\/3 - v**2 + 2*v - 71. Calculate 4*l(g) + n(g).\nAnswer: 3*g**3 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 198834326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**2 + h**2 - 5*h**2 + (0*h + 4*h - h)*(0 + h + 0))*(h + h - 4*h)*(0*h + 0*h + 2*h) to n + d*h**2 + s*h**4 + j*h**3 + w*h and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-25 + 10 + 1) - 42.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(50) + 0 + -1 - (1*(sqrt(6)\/(2*sqrt(3)) + sqrt(2)) + -2).\nAnswer: 7*sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8182 + -8185.1. What is the nearest to n in 3, -5, 2\/39?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.194 + 6.194. Let w = 3 - 2.5. What is the nearest to -1 in w, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14030883.\nAnswer: 3, 149, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 11. Let b be k(7). Suppose 12 - 24 = -b*f. Let z(j) = 8*j + 7. Let c(n) = 4*n + 3. Calculate f*z(w) - 7*c(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*w + 17 = 14, -3*d + 8*w + 36 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 667021 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153 (base 14) to base 10.\nAnswer: -269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 14*h**2 - 16*h + 3. Is 11 a factor of s(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwkkvskkskswkkvkv. Give prob of sequence vww.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.06, -425, 0.3, 6\/11, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 11. Let w = h - -14. Suppose s + 1 = -2*b - 2*s, -3*s - 5 = 4*b. Sort -3, b, w in ascending order.\nAnswer: -3, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**3 - 14423*d**2\/5 + 1054496*d\/5 + 84452\/5 = 0. What is d?\nAnswer: -2\/25, 86, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 8*k - 6. Let y be n(-6). Suppose 0 = -4*g + y*g - 12. Calculate the smallest common multiple of 7 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 81, -3.\nAnswer: -5, -3, -2, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 412.4292924675.\nAnswer: 412.7292924675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 2*o + 5*i, 4*i - i + 6 = 0. Let y = o + -15. Suppose 5*d + 16 = 2*j + d, -4*d - y = -4*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 903305.967 rounded to the nearest 1000?\nAnswer: 903000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -11*j**3 + 3*j**2 + 3*j + 5. Let m be x(-2). Let a = 7 + -2. Suppose 2*w + 5*f = 13, 4 = f + a. Calculate the greatest common divisor of w and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1325*d - 55825 = 1248*d. What is the least common multiple of 6090 and d?\nAnswer: 30450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124865 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17980 and 16182.\nAnswer: 161820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.3 (b) -1\/2 (c) -35.33 (d) 59 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2037 and 253267?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/84 and -13\/108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 346341695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17360*q**2 + 390*q - 40?\nAnswer: -34720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 715*w + 715*w + 14*w**2.\nAnswer: -2*w**3 + 14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5, -15300, -1, 0.4 in decreasing order.\nAnswer: 5, 0.4, -0.5, -1, -15300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 7*a**3 - 7*a**3)*(2*a**2 + 3*a**2 - a**2).\nAnswer: -56*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s - 5*b = 102, 0 = 3*s + 2*b - 81. Suppose -4*m - s = -161. Round m to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212751 to the power of 1\/2, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -596 - -598. Suppose 0 = -2*n + 11 - 7. Solve -c*d = n*r - 12, r + 7 + 2 = 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(5 + 0 + (-28)\/6). Factor -24*h - 114 + 4 + 10*h**y - 191*h - 100*h**2 - 5*h**3.\nAnswer: 5*(h - 22)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/9)\/a*a)**(-20\/11))**(2\/51) assuming a is positive.\nAnswer: a**(-80\/5049)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(176) + 3 + -2 + sqrt(176))**2 + (sqrt(11) - ((sqrt(1584) - (sqrt(1584) + -2 + sqrt(1584))) + sqrt(11))) + 6*sqrt(11)*1).\nAnswer: -1406 - 68*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 205*c + 5355. Determine m(-43).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*v + 34. What is the remainder when 20 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4539.\nAnswer: 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, s: 1, n: 13, c: 3}. Give prob of picking 2 v, 1 n, and 1 c.\nAnswer: 13\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 5. Let s(o) = o - 15. Let m(f) be the second derivative of -f**3\/2 + 31*f**2\/2 + 3*f. Let j(b) = 6*m(b) + 13*s(b). Determine 7*h(p) - 4*j(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*d - 78*d - 135*d)*(-33 - 9 + 16).\nAnswer: 5850*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 928 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 - 29 - -21 - 5 - -4.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5555336047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 3*u + 4. Let n be l(4). Suppose -4*f + 68 = -n*f. Calculate the remainder when ((-100)\/6)\/((-1)\/3) is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-17 - (0 + -6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**3 + 2*w**2 - 5*w - 5. Let f(a) = a + 2. Let n be f(-7). Let k(i) be the second derivative of -i**5\/20 + i**2\/2 + 1550*i. Give n*k(r) - z(r).\nAnswer: r**3 - 2*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404 + 416 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339548 is divided by 56564?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*a**3 + 32 - 32.\nAnswer: 44*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d - 270 = 0. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -5a5074?\nAnswer: -5a5070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -12247 + 21454. Is f a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 36*p + 1. Let n be 6\/27 - 14\/(-18). Is v(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18853 > 94272\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 10) + 8 - (5 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from hghghhh?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/20 + (-4634)\/200 + 38\/(-475). Let m(p) = p**2 + 24*p + 41. Calculate m(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624 = -9*k + k. Find the common denominator of -23\/8 and (k\/(-100))\/(12\/(-70)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 9*a + 24 = 0. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12828 and 9.\nAnswer: 38484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022012 (base 3) to base 12.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1382 + 755. Let h = j - -627.1. Which is the second smallest value? (a) h (b) -3 (c) 3\/2 (d) 101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/6 + 7\/18. Put -4, w, 3\/8 in descending order.\nAnswer: 3\/8, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 794, 728, 660, 590?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93*14\/35)\/(30\/50*80\/(-120)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13479022*u**4 + 211*u**2 + 4*u - 4?\nAnswer: -323496528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.4, 2, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 11*b + 6*b**2 - 4*b - 3*b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40311, -80659, -121007, -161355, -201703?\nAnswer: -242051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 148357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 590260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 17*z - 94. Let o be k(-8). What is the fifth biggest value in -8, 0.2, -2\/7, -1\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**3 - 5*t**3 + 2*t**3)*(0*t + 0*t - 2*t) + 11*t**3 - 235*t**4 + 16*t**4 - 11*t**3 in the form n + w*t**2 + i*t**4 + h*t**3 + u*t and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 6. Let x = 6 - m. Let r = 49 + x. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g - 2*g - 6 + g**2 + 5*g. Let f be t(5). Suppose u - f*o = 427, 2*o - 2581 + 963 = -4*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03471 + 23.03471. Which is the smallest value? (a) -14 (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -430 - -1042. What is the first derivative of 8 + 605*h**2 - 1 - q*h**2 wrt h?\nAnswer: -14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414631 divided by -1?\nAnswer: -1414631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b*p**3 - b + p**6 + 6*p**4 + 6*p**2 + 3*p wrt p?\nAnswer: 12*b + 120*p**3 + 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2194*s + 6400. Give l(4).\nAnswer: -2376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11605, -45586, -102223, -181516?\nAnswer: -283465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + -419901?\nAnswer: -4198a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2 + 4*m + 0 - m**2 - m**3 + 1. Let o be v(-3). Calculate the highest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 23*x - 19*x + 68 = 0, -v - 3*x - 31 = 0. Let n = -1 - -3. Suppose 3*p - 2*s - 6 = 0, 5*p = 4*s - 3*s + 3. Put n, v, p in ascending order.\nAnswer: v, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m. Let p(n) = 2*n**3 + 6*n**2 + n + 5. Let b be p(-3). Let y(v) = 7*v + 1. Determine b*a(j) + 3*y(j).\nAnswer: 5*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 - 108*u + 4. Let j(b) = 3*b**2 + 110*b - 5. What is 4*j(k) + 5*r(k)?\nAnswer: 2*k**2 - 100*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*y = 62*y + 129*y + 6*y + 4770 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13527 and 717933?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6913 + 6913. Solve 5*n - 32 + 14 = i, w = -2*i + 2*n - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -39017.0992716?\nAnswer: -39017.1992716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15507.3811 + 15506. What is t rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 4. What is the remainder when (-14)\/y*(5 + -2) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537 + 565 = -5*t + 2*w, 3*w = 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*u - 8, -3*y - 2 + 0 = 4*u. Let v be 24\/(-9)*y\/4. What is the smallest value in v, 3\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.3 - -0.7. Let t = -6 + p. Let l = -289.1 + 289. Which is the smallest value? (a) t (b) -2\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 530\/2547 - -4\/283. Let r = -11 - -11. Let l = -4 - r. What is the biggest value in -1\/7, u, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 12*r - 2. Let z(q) = 11*q - 3. Let y(g) = 5*d(g) - 4*z(g). Let p(s) be the second derivative of -s**3\/6 - 15*s. Give 12*p(x) + y(x).\nAnswer: 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2*u + 60, 302817*f - 302821*f - 3*u = -85 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -795.4441681 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15418 and 1105?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4005041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100643*m + 75783.\nAnswer: 100643","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243533582 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/2867129 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 0*o + 2*o = 0, 3*o = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-20))\/((-110)\/(-32)*122\/915).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 26. Is c(13) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -436*y**2 + 187*y**2 + 3 - 2*y + 202*y**2 + (y - 7*y + 4*y)*(-y + 3*y + 0*y) as o*y**2 + u + a*y and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/39)\/3 + (-2241)\/(-117). Let c(j) = j + 12. Let w be c(-8). Solve w*z - 3 = -g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 53226 and 159682\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/6461460 and -19\/30.\nAnswer: 6461460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018510036 to 7 decimal places.\nAnswer: 0.001851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4 - 10*m**3 + 128*m**2 + 568*m + 576 = 0?\nAnswer: -9, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 140, 4\/3, 2\/13?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7 - 15. Let l(p) = -p**3 - 5*p**2 - 5*p + 4. What is l(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13143*j + 3672*j + 9463*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2311 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(8\/5)\/l**(-11))\/(l**4\/(l*l**(-2)\/l)) assuming l is positive.\nAnswer: l**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 827 less than -0.5?\nAnswer: -827.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10139908?\nAnswer: 2, 29, 61, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/275499 and -37\/550998.\nAnswer: 550998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -322735185 divided by 64547037.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28932125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3963400 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 155*q**2 + 534*q + 288.\nAnswer: (q + 3)*(q + 48)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -57996+-443\nAnswer: -58439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60369, 120739, 181111, 241485, 301861?\nAnswer: 362239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.33*-0.9.\nAnswer: -0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48\/7 - -542\/77. Which is the third smallest value? (a) -2 (b) 9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 3*u - 2. Let m be i(2). Let w = -14 + 14. Let o be 17\/17 - (0 + w). Solve 2*z - z + o = m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 7. Let c(h) = 12*h - 8 + 20*h + 13*h - 46*h. Calculate -3*c(b) - 4*x(b).\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1358556 is divided by 59063?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*s - 84383*c**3 - 71*c*s + 7512*s - 36 with respect to s.\nAnswer: c**3 - 71*c + 7512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38302043 to the power of 1\/2, to the nearest integer?\nAnswer: 6189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.3, 4, 0.04111, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 5 = 4*o - 3*t, 0 = 5*t - 5. Let b(i) = -3*i**2 - 1215 - 1216 - 1214 - 2*i + 5*i**2 + 3647. Let z(w) = 4*w**2 - 5*w + 5. Give o*z(k) + 5*b(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.11 + 0.25. Let c = x + 0.38. What is c rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765098717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*z + 2 = z, -3*g - z = -1. Let p = 1.99 - -0.01. Which is the second biggest value? (a) 0.06 (b) g (c) p (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 7*o**2 + 6*o + 3. Let z(x) = 2*x + 2. Let g be z(2). Let l be p(g). Suppose h - l*f = 38, 2*f - 7*f = -3*h + 94. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 0*j + 4*j)*(3*j**2 + 9 - 11*j**2 - 8).\nAnswer: -8*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44.2 - -30.69.\nAnswer: -13.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-7 - 24))*-1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1484)\/(-12)*(-1)\/(168\/72)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0+4939619.3258467\nAnswer: 4939619.3258467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 627, 1332, 2419, 3816, 5451, 7252?\nAnswer: 9147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5124 + 18904. What are the prime factors of v?\nAnswer: 2, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 10*r - 30 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**5 + 0*a**5 - 185*a - 13*a**5 + 183*a wrt a?\nAnswer: -300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + s + 1. Let z(b) = 3*b**4 - 5*b**2 - 2*b - 2. Let k(o) = -2*m(o) - z(o). Find the third derivative of k(c) wrt c.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*q - 731 + 171. Calculate the lowest common multiple of q and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/((-275)\/10)*805. Let a = q - 190. Let s = -125 + a. What is the remainder when 40 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3362 = -10*j + 37452. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*7\/(-21) + (-94)\/18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29061 at most -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 6*s + 1. Let n be q(6). Let v(h) = -h**3 + 14*h**2 - 2*h + 18. Let a be v(14). Is (9\/15 + n\/a)*634 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, c: 15}. Give prob of sequence kkc.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 991327293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/3)*d)\/d**(-1\/6)*d**(2\/5)\/d*d\/d**(-1))**(-30\/11))**(-1\/11) assuming d is positive.\nAnswer: d**(67\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 e when four letters picked without replacement from eqqgaweqqgwqqeeeee?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, -328 in descending order.\nAnswer: -5, -8, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50.47*41.\nAnswer: -2069.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + 2043051101?\nAnswer: 2043051045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4265494342 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1291 + -1287. Sort 24, x, -2.\nAnswer: -2, x, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.077.\nAnswer: -0.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 89 + 20340\/(-195)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 - 36 - 5*s - 6*s**2 + 39. List the prime factors of y(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130895547?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -10. Let i(l) = -2*l**2 - l - 3. Let q be i(3). Let x be (-1)\/(o - 22\/q). Calculate the highest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 9) in base 3?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -9 - 8) + 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**4\/2 - c**3\/2 - 3*c**2 + 2*c + 16. Let j(n) = 5*n**2 + 2*n + 5. Calculate 4*j(d) + 3*p(d).\nAnswer: 2*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/32 + (-70)\/8. What is the tens digit of (-4 + 32\/12)*d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(-28)\/(z**10*z**(10\/3)) assuming z is positive.\nAnswer: z**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 90 + -77 + 82\/(-6). Which is the second biggest value? (a) -3 (b) h (c) -0.2 (d) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1616*d - 2741*d + 22423*d in the form t + u*d and give u.\nAnswer: 18066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-78 - -53) + -3 + 16\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60*(2 - 3\/2). Let s = d + -19. Calculate the greatest common divisor of 33 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 i when three letters picked without replacement from {g: 6, i: 12}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*p + 420 + 903 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 times 0.24?\nAnswer: 0.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*f + 83, -2*f = -1 - 9. Let p be x\/288 + (-5)\/8. Let m be 0 - 2\/(6 - 0). Is m <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 + 0 + 0 + (-3*m**2 + m**2 + 4*m**2)*(-2*m + 0*m + 0*m) + (m + 6*m - 2*m)*(6*m**2 - 2*m**2 - 2*m**2).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*k - 9800, -a + 4*a - 7339 = -5*k. Let s = a + -1509. Suppose -s + 242 = -9*f. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9168482 minus -1058328?\nAnswer: 10226810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(-260*(-3)\/240)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.52623 and 0.\nAnswer: 4.52623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*c**2 + 175*c**2 - 40*c**2 - 10*c**2 + 79*c**2.\nAnswer: 495*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 - 120*r**3 + 304*r**2 + 2784*r + 3328.\nAnswer: 4*(r - 26)*(r - 8)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 678*r + 784871 - 784871.\nAnswer: 678*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 69, 5, -1, -2 in descending order.\nAnswer: 69, 5, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 - 20 = 3*x. Put x, 2, 0 in ascending order.\nAnswer: 0, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111222 (base 3) to base 11\nAnswer: -916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 12026*c = 12027*c - 35, 0 = -5*m - 4*c - 31 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 0 = -22, 17 = -108*a + 107*a - 2*p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40\/700 - (0 - 1748\/35) is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(11) + sqrt(176))**2 - sqrt(44)\/sqrt(4)*-5) + -5 + sqrt(11) + sqrt(11) + sqrt(11) + (sqrt(11) + -1)*-1 + -4.\nAnswer: 7*sqrt(11) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 35. Give s(-17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*b**2 + 10860*b + 1373768.\nAnswer: -4*(b - 1474)*(2*b + 233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 + 10*h**3 - 10*h**3 - 1 + (-87*h**2 + 171*h**2 + 31*h**2)*(1 - 1 - 3*h**2).\nAnswer: -343*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 0 + 11\/24*v**4 + 1\/6*v**3 + 0*v - v**2. Is i(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 6)*(-912)\/(-72). Let x be (f\/8 - -8)\/(-1 - 5). Which is greater: 23 or x?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, -1\/20, 0.4, -33, -143, -0.09, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utttpquhqaut. Give prob of picking 1 u and 1 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -27030*g - 20 - 3*g**2 + 27028*g + 5*g**2 in the form m*g + a*g**2 + h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x - 128691 = 31889. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3099893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/83533 and -65\/51904?\nAnswer: 5346112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p = -36*p + 3192. Is 59 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**5\/9 + 52*n**4\/9 + 704*n**3\/9 - 2572*n**2\/9 - 78*n + 280 = 0.\nAnswer: -12, -1, 1, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/63 - 4\/(-14). What is the third biggest value in -3, -6, b?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2534*j + 690 = 2603*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Suppose 2*y - 81 = -g*h, 0*y + 134 = 5*h + 3*y. Let j(m) = m**2 + m + 5. Let v be j(0). Solve -4*x + 5 = r - 3*x, v*x - h = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026654516 to three dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -30*l**2 + 442*l + 38. Let n(h) = 20*h**2 - 316*h - 25. Give 5*f(a) + 7*n(a).\nAnswer: -10*a**2 - 2*a + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-6\/7)*p**1*p*p)**20\/(p\/(p*p**1)*p*p**0*p**(-6)*p*p*p**7) assuming p is positive.\nAnswer: p**(419\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 112200155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 469.76?\nAnswer: -469.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -61*j - 1914. What is the remainder when f(-32) is divided by (-8 + -1)*20\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 - 3*d - 7.\nAnswer: (d - 14)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 3*p**5\/10 + 2*p**4\/3 + 5*p + 4. Let w(n) be the first derivative of j(n). What is the third derivative of w(y) wrt y?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2. Let n(h) = -h - 2*h - 4*h. Calculate n(b(i)).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41483 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/42 - 5\/14. Let w = -0.99 + 1. Let r = -1.99 - w. What is the closest to j in 0, r, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2636197775 to the nearest integer?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, r: 8, v: 2, k: 3}. Give prob of sequence vzv.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*q**2 + 23*q**2 - 104*q**2 + 6*q**2 - 4*q**2 - 3*q**2 + 0 + 0 - 2*q**2 + (-2 + 0 + 1)*(2*q**2 + q - q) - 5 - 4*q**2 + 5.\nAnswer: -41*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from vpqppombvbvp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 6*j + 14. Let p be i(-7). Let d(o) = o**2 - 5*o + 8. Let v be d(6). Calculate the highest common divisor of v and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*r - 14. Let v be 0 + (r - 3 - 1). Let u be (1 - 18\/15)*v. Is 1 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -15, -36, -65?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6436 by 7.\nAnswer: 6436\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/10 + 20926*t**3\/5 - 188469*t**2 + 2827710*t - 28280475\/2 = 0. What is t?\nAnswer: -41897, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16240 and 3654.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -221021120011022 (base 3) in base 8?\nAnswer: -63177751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37111 is divided by 6990.\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25730 + d?\nAnswer: 2573d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2151.3 * 4\nAnswer: 8605.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 24. What is the remainder when 36 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -22*b**3 - 20*b + 40*b**2 - 16*b**3 - 4*b**5 + 20*b**4 - 2*b**3 + 4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*w - 291*w = -1333. Which is greater: -41 or w?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 190 = 5*h, -5*h + 112 = -4*l - 78. What is the least common multiple of h and 164?\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 - 3.2. Let y = -29\/84 + 2\/21. Suppose 3*d - 34 = 5*j, 6*j - 7*j - 2 = 0. Which is the nearest to y? (a) z (b) -2\/15 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**3\/3 + 1. Let r be (-2)\/(-6)*2 + (-8172)\/(-54). Let m(w) = 88*w - r*w + 80*w. What is n(m(v))?\nAnswer: 256*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 9.95\nAnswer: 4.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.6 times 3.94?\nAnswer: -502.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 0*p**3 - p**3 + 0*p + 44.\nAnswer: -p**3 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -64, -17.\nAnswer: -64, -17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*g - 27*g + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 14859729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32226, 32194, 32166, 32142, 32122, 32106?\n\"Answer: 2*z**2 - 38*z + 32262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1100) + sqrt(1100) + -1 - sqrt(1100)) + 0 + -3*sqrt(1100)*-5)*-5)**2 + 1.\nAnswer: -8000*sqrt(11) + 7040026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (597\/(-18))\/((-2)\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**3 - 10*f**2 - f - 1. Let z(n) = 9*n**3 + 19*n**2 + 2*n + 1. Let x(h) = -11*r(h) - 6*z(h). Suppose m - 1 = 3*j - 9, 2*j - 5*m = -12. Give x(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 124779080, 124779073, 124779062, 124779047, 124779028, 124779005, 124778978?\n\"Answer: -2*q**2 - q + 124779083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -a + 133, 4*a + 5*k = 2*k + 506. Let q = a - 66. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 61487*g - 61487*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*j + 47 = -6*j + 473 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(612) + ((sqrt(612) + -1*sqrt(612))*6 - sqrt(612)) + sqrt(612) + sqrt(612) - sqrt(612)))*2 + 3 + -5)**2*-2.\nAnswer: -4904 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y + 42 = -58*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 3, 48?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -415652 (base 8) to base 16.\nAnswer: -21baa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-460)\/(-1725)*((-12)\/24)\/(2*2\/(-24)). What is n in -l*n**2 - 28\/5*n - 48\/5 = 0?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357a (base 11) in base 14?\nAnswer: 19c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5, -1\/6, 3.07, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 3. Suppose 0 = y*r - 3*r - 4. What is the greatest common divisor of 8 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**3 + 6*g**2 + 5*g + 1. Let p(c) = c**3 - 1. Let h(o) = -k(o) + 4*p(o). Is h(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*m + 260 = 0, 390 = 3*t - 4*m + 5*m. Let c = 2081\/124 - -29\/62. Find the common denominator of (t\/(-12) - -1)*-1 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5627*h - 2510*h + 749*h + 6814*h as i + o*h and give o.\nAnswer: 10680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -440?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -328.\nAnswer: -1\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -69. Is 1\/(x\/16*(-8)\/2082) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538356 divided by 2?\nAnswer: 269178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 10. Let d be h(-5). Sort -4, 1, d in decreasing order.\nAnswer: 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/10)\/((-12)\/(-100)). Let c be (11 - (-341)\/(-33))*v\/2. Solve -2*f = -4*n + 5*n + 14, 4*f + c*n = -40 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**5\/15 - 5*d**4\/24 - d**3\/6 + 3*d**2. Let x(j) = -3*j**2 - 4*j - 1. Let g(l) = 2*u(l) - 3*x(l). Factor g(z).\nAnswer: (z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*v + 6 = 0, -2*y - 2*v - 4 = -v. Suppose 5*j + 56 = -2*j. Sort y, -1, j in descending order.\nAnswer: -1, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/(-8)*1\/(-4)*-8*1\/3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35537 times -0.07?\nAnswer: 0.0248759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzvt when four letters picked without replacement from vvzvvvtvzvvvvvzvvt?\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2)*(-11*w**2 + 7 - 7) in the form b*w**2 + g + o*w and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -13*u**2 - 5*u - 5. Let r(q) = -7*q**2 - 3*q - 3. Let f(x) = 2*x**2 + 8*x + 3. Let n be f(0). Calculate n*w(c) - 5*r(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13*t**2 - 4. Let w be 4\/(-2) + -9 + 8. Is o(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4390, -8095, -11788, -15469, -19138, -22795, -26440?\n\"Answer: 6*o**2 - 3723*o - 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 20*r - 24. Let u(j) = -4*j**3 + 2*j**2 + 2. Let i(b) = -16*b**3 + 9*b**2 - b + 9. What is r*i(g) - 9*u(g)?\nAnswer: 4*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3682 - 3688 = 3*t, 60*k + 293 = t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131 + 0?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -323, -1372, -3149, -5678, -8983, -13088?\n\"Answer: -4*g**3 - 340*g**2 - g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100111110010110101000 - -10101?\nAnswer: -111100111110010110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -108*c**3 - 54*c**2 - 54*c. Let o(p) = -p**3 - p**2 - p. Give 54*o(a) - x(a).\nAnswer: 54*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*y**4 - 2*y + 55*y**4 + y**2 + 2 + y**3 - 54*y**4 in the form r + i*y**2 + u*y**4 + l*y + z*y**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6 - 35*t - 74*t - 189*t + 43*t. Let h(f) = -f. Let y(i) = -a(i) + 2*h(i). Is y(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -164.767526.\nAnswer: -82.383763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7208321 is divided by 68.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-4)*0)\/(-1 + 5). Suppose s = -3*t - 1 + 4. Which is greater: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 29 = 2*u + 22, 4*u + 4 = 4*b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -6*j - 4*y - 262, -756 = -3*j + 2*y. Let i = -247 + j. What is the nearest to 10\/3 in 2, i, 2\/17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/10 - (-4)\/10)\/(-1). Let r(u) = u - 5. What is r(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6663 - -6703. What is the remainder when t is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/14)\/((-15)\/(-60)))\/((-24)\/21)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 12 - 16 + 2*t**2 - t**2.\nAnswer: t**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20\/21 - -2\/7. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4438594225 divided by -5\nAnswer: 887718845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64510305?\nAnswer: 3, 5, 59, 72893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1573) + 1 + sqrt(1573))**2 + 3 + 4.\nAnswer: 44*sqrt(13) + 6302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38843.8 + -38844. Sort r, -2, -1, 3\/8, -19 in increasing order.\nAnswer: -19, -2, -1, r, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 18*q**4 + 4*q**5 + 2*q**4 + 6*q - 6*q - 3*q**5 - 3*q**5 + 3*q**5 + q**5 + (q + 2 - 2)*(4*q - 4*q - 2*q**4).\nAnswer: -2*q**5 + 20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3304 + -4429. Is -1123 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/3 (b) 9 (c) 16 (d) 17\/2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2067277*n**3 + 4*n**2 + 23*n - 882?\nAnswer: 12403662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 182*i**2 + 6. Let l(n) = -4368*n**2 - 143. Determine -6*l(g) - 143*t(g).\nAnswer: 182*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + (-25 - (-48 - 2)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*a**2 - 175*a**2 - 2 + 38*a**3.\nAnswer: 38*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 - (-6 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1957*i**2 + 4212*i**2 - 33465*i**2.\nAnswer: -31210*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -702 - -695. Let s be d + 1 - -2*5\/2. Is 3\/320 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, b: 5, l: 5, m: 7}. What is prob of sequence lhml?\nAnswer: 7\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 20 = 3*d, -4*r - 6*d + d = -28. Suppose r*b + 29 - 138 = -3*a, -5*a + 161 = 3*b. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**7\/35 + 7*t**4\/24 + t**2 - 5*t. Let v(h) be the first derivative of l(h). Find the second derivative of v(f) wrt f.\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i = -10*i + 12420. Calculate the highest common divisor of 20 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*h + 6*h. Suppose -2*o + u - 32 = -4*o, h*o - 12 = 4*u. Let j be (-4)\/(-10) - (-2 - (-232)\/(-20)). Calculate the highest common factor of j and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 327, 328, 329, 330, 331?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -0.2. Let o = k - 0.1. Which is the nearest to -1? (a) o (b) 0.5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2*b - 2 = 0, 127*d - 3*b + 2 = 131*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 20 (b) 3 (c) 2\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*z + 3 + 38*z + 15*z + 43*z - 145*z.\nAnswer: -2*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2264240507 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3229115 is divided by 1107.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**4\/4 - 8*n**3\/3 - 2*n**2 - 15*n + 109. Let q(y) = -8*y**2. Let t be q(1). Does 12 divide v(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 22. Let t be g(18). Let -225*z**3 + t*z - 3 - 287*z**3 + 2 - 28*z - 192*z**2 = 0. Calculate z.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j + 27*j - 1700139 - 607961 = 0. What are the prime factors of j?\nAnswer: 2, 23081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -45*(-3)\/(3 - 0). Calculate the remainder when (s\/2)\/(102\/680) is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-24))\/(3870\/(-103200))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 6*z - 4*z. Let c be (14\/21)\/(1\/(-18)). Let d be (-18)\/((c\/(-4))\/3). Is d smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.22 + 5.22. Let v = h + -81. Let b = v + 75.999756. Round b to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 1.33?\nAnswer: 5.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2571 is divided by 333.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -117 and 2958 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 2*q - q)*(2 + 2*q - 2) - q**2 + 0*q**2 + 0*q**2 + q**2 + q**2 + q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/73725 and -68\/45.\nAnswer: 221175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5742*j*l**2 + 5*j*l - j - 12*l**2 + l - 979 wrt l?\nAnswer: -11484*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -364, -13, 4 in increasing order.\nAnswer: -364, -13, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u*(u\/u**(-28))\/u)\/u)\/(u*u*u\/((u**22\/u*u)\/u))*(u\/(((u*u**(4\/11)*u)\/u)\/u))\/(u**(1\/3)\/u) assuming u is positive.\nAnswer: u**(1627\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13642\/718*(-4)\/(-76)*(-6)\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -803*n = -790*n + 286 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -11*g**3 - 11*g**2 - 11*g + 163. Let i(u) = -7*u**3 - 7*u**2 - 7*u + 109. Let y(b) = 8*i(b) - 5*m(b). Is y(-8) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5065 + -3160. Suppose -23*n + a = -7824. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, r: 1, e: 1}. What is prob of sequence trt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 j, and 1 k when four letters picked without replacement from {v: 1, u: 3, h: 1, k: 1, j: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/6435 and -73\/2351470.\nAnswer: 275121990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (7\/105*2 + 47\/(-15)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4111*r + 53409. Determine k(13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7899071 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 units digit of 1124040429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267697, 267698, 267701, 267706, 267713, 267722, 267733?\nAnswer: 267746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/5 + 18 + -2. Suppose -o - 3*x + 0 = -3, 0 = -4*x. Solve -8*m + o*m = -g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 4\/11, 5\/4, -19?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*n*q**2 + 3*n - 11*q**2 - 1446*q + 386581 wrt q?\nAnswer: -20*n*q - 22*q - 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(2 + (-471)\/237). Let h = 93 + n. What is the third derivative of h*o**5 - 22*o**5 - 24*o**5 - 25*o**2 wrt o?\nAnswer: -1920*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4440 by -30.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 394741 or 394742?\nAnswer: 394742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2. Let n(l) be the first derivative of -7*l**3 - 21. Give q(n(w)).\nAnswer: 1323*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1186 + -1176. What is the least common multiple of 242 and q?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 105*j + 13. Let i(w) = 34*w - 5. Calculate 8*i(l) + 3*v(l).\nAnswer: -3*l**2 - 43*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601231 is divided by 1601228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-286)\/(-6))\/(34\/1530)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111211202 + -12?\nAnswer: -111211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -891720 < -891723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -42*r - 1. Let w(z) = 40*z. Let g(s) = 7*s. Let l(n) = -34*g(n) + 6*w(n). Give f(l(m)).\nAnswer: -84*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 + 94*n - 94*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 3340795?\nAnswer: 33407950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/4)\/((-24)\/192). Calculate the highest common factor of 80 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 at most as big as 735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + j**2 + 35*j - 29. Let c = -9773 + 9779. Give f(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267904464697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**4\/4 - 20*p. Let i(n) = 2*n**2. Calculate k(i(v)).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 16. Suppose 3*l - 23 = -4*k, y*k - 2*k - 3*l = -5. Suppose x = -k*x. Which is smaller: -8 or x?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + -13. Calculate the common denominator of 318\/t - 8\/(-20) and ((-61)\/(-4) - 2) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g - 8*g**3 - 2*g**2 + 1357 - 1357 + 4*g**4 in the form f*g**2 + k + w*g**4 + i*g**3 + b*g and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -18 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 5) to base 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 3:12 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -261230810\nAnswer: -261230805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - t**2 - 1. Let k(d) = -15*d**3 + 7*d**2 + 7. What is 2*k(w) + 14*v(w)?\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -8, -3*l + 67241 = -4*w - 37844. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and 37448185 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1396 - 1377. Solve w - 5*z = 26, -w - y - 5 = 5*z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5 = 21. Solve -l*c + 25*i = 23*i + 24, 4*c - i = -22 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71110 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3362443\/172791 - 1422\/73. Calculate the common denominator of h and -67\/15.\nAnswer: 11835","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ssastsatsatasatassss?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j = -3*m - 76, -38 = -2*j - 3*m. What is the greatest common factor of j and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*j**2 + 16*j**2 - 20*j**2 + 22*j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prjrprgwjwpgwwwgw. Give prob of sequence pg.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20860 + 20859.82722. Round j to 3 dps.\nAnswer: -0.173","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2)*(0 + 1 + 1)*(-58*o + 109*o + 100*o) to p + i*o and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297762146 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.16 + 0.1. Suppose 0 = -4*l - 8 - 12. Let j = -1996 - -1992. Which is the closest to 1? (a) s (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -47 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -339976*l - 38. Give z(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c - 5 + 6*c - 8*c. Suppose 0 = 2*b + 4*i - 9 - 9, -5*b = 3*i - 10. Calculate g(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4824 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) - (sqrt(240) - 1*sqrt(240))*5)\/(sqrt(90)*3))\/((sqrt(96) - (1*sqrt(96) - sqrt(96))*-4)\/(1*sqrt(200))).\nAnswer: 5*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**2 - 11835*b = 0. Calculate b.\nAnswer: 0, 2367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -16*b**4 + 11*b**3 + 2*b**2 - 11*b + 7. Let u(h) = 11*h**4 - 7*h**3 - h**2 + 7*h - 5. Let t(i) = -5*g(i) - 7*u(i). Factor t(q).\nAnswer: 3*q*(q - 2)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5943902 to the nearest integer?\nAnswer: 2438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4}. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 77\/(-3) + 2\/(-6). Let s = 53\/2 + c. Factor -s*t**4 + 0*t**2 - t + t**3 + 1\/2.\nAnswer: -(t - 1)**3*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 7) to base 12\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -78. What is the closest to -1\/4 in h, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjtjjjfmjt. Give prob of picking 1 g, 2 j, and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/64 and -111\/80.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 676, 456, 236, 16?\n\"Answer: -220*c + 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -473036 = -473035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, -5, -9.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**5 - 41480*f**4 + 206595*f**3 + 5638580*f**2 - 5803700*f = 0.\nAnswer: -10, 0, 1, 14, 8291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/w**0)**(-5\/8)*(w*w**6*w**(-2)\/w*w)**(6\/13) assuming w is positive.\nAnswer: w**(-75\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + 4*l - 2. Let x(p) = -p**2 + 1. Determine c(j) + 2*x(j).\nAnswer: 2*j**3 - 2*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -265 - -382. Suppose 424 + h = z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*p = -48, -2*x + 2*p = 2*x - 34. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 785 and 785.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) - (3*(2*sqrt(24) - sqrt(24)) + sqrt(24))) + sqrt(24))\/(sqrt(48)\/sqrt(4)*-4))**2 - (sqrt(2) - (-1 + 2 + sqrt(2)) - (sqrt(24)\/sqrt(192))**2).\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 14. Put 2, 1, t in descending order.\nAnswer: t, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 30. Let b = -36 + 36. Let p be z(b). Let j = -15 - p. What is the highest common factor of 6 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghg when three letters picked without replacement from {x: 3, g: 2, e: 2, h: 4}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 31 = -f, -f = -5*v + 2*f + 49. Let c be (1 - -1)\/((-1)\/(-2)). What is j in -v*j**2 - 5*j + j**2 + 9*j**4 + j + j**c + 4*j**3 = 0?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -4\/969, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*w**4 - 184*w**3 + 5*w*x**2 - 2*x**2 - x + 5145 wrt w?\nAnswer: -24*w**3 - 552*w**2 + 5*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8494, 18105, 27714, 37321, 46926?\nAnswer: 56529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**8\/168 + 2*b**7\/21 - 12*b**6\/5 + 81*b**5\/5 - 171*b**4\/4 - 2*b**2 - 2*b - 290. Factor c(n).\nAnswer: 2*n*(n - 3)**3*(n + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.36644 * 3224.\nAnswer: 1181.40256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-21)*(-669)\/223*1\/(-11)?\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 j, and 1 n when four letters picked without replacement from gojyyyjgooooxognygjx.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 6*p - 5*p)*((-p + 2*p + 0*p)*(-3 + 1 + 0) + (-p - 2*p + 0*p)*(-3 + 2 + 3)) as f + r*p + u*p**2 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100001100011010111100 + -11?\nAnswer: 1100100001100011010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 527 divided by 160352?\nAnswer: 527\/160352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -43.046. Let o = -0.046 + r. Let q = o + 0. Which is the closest to -2\/3? (a) -0.06 (b) q (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, -0.427, -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from vyyyyyyvyyyyvy.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7915375747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 6:57 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7766969 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5500) + sqrt(5500)*-3*5 - sqrt(5500))\/(sqrt(77)\/(sqrt(63)*-1)).\nAnswer: 450*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4*v = 14, 9*x - 8*x = -2*v + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 32.824343 * 0.2\nAnswer: 6.5648686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-6) - 2)*12\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (4 + -3 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 2. Let b(h) = 5*h**2 + 18*h + 314. Let a(m) = -b(m) - 4*w(m). What is the derivative of a(d) wrt d?\nAnswer: -10*d - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from {b: 10, t: 4}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9b0aaa (base 12) to base 6\nAnswer: 124531134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -906 - -2714\/3. Let q = 8 + -13. Which is the nearest to q? (a) 4 (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1565 divided by -1?\nAnswer: -1565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 6:24 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/(2\/10*1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -293 (base 13) to base 10\nAnswer: -458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + -60 - (6 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 15 = -5*r. Suppose -r*p = 4*x - 2*x - 51, p = 5. Solve -4*o + 0*b = -b - x, 3*o - b = 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 10*y**2 - 57*y - 2. What is l(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 5*o**2 - 6*o + 3. Calculate u(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9766*l - 45195.\nAnswer: 9766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + -2 - (7 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -63, -103, -159, -237, -343?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4\/3 - 13\/2*c**3 + 3\/2*c**5 + 37\/6*c**2 + 5*c - 29\/6*c**4 = 0.\nAnswer: -1, 2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2675\/11 - -243. Let x = 3.4 - 8.4. Let v = x + 4.9. Which is the nearest to -1\/2? (a) 3 (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/2149488 and 49\/82836.\nAnswer: 83830032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*f + 683 = 0, 3*j - 34*f + 30*f - 401 = 0. Suppose -6*c = j - 469. What is the lowest common multiple of 10 and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 7*m**2 + 5. Let w(j) be the third derivative of -j**6\/40 - 2*j**5\/15 + j**3 - 87*j**2. Determine -6*n(l) + 5*w(l).\nAnswer: -3*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314430417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**3\/2 - 1321*r. Let a(k) be the second derivative of 0 - 1\/6*k**4 + 2*k + 0*k**2 + 0*k**3. Calculate s(a(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**7\/360 - g**4\/24 - 2*g**2. Let h(w) be the second derivative of x(w). Let p(z) = 2*z**2. Determine h(p(k)).\nAnswer: 28*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((5*(sqrt(216) + (1*sqrt(216) + sqrt(216) - sqrt(216)) - sqrt(216)))\/(sqrt(16)\/(sqrt(8)\/sqrt(4))))\/(sqrt(225)*2 + (sqrt(81)*1)\/sqrt(9)))**2.\nAnswer: 50*sqrt(3)\/11 + 3100\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24312 + 24291 = -n for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 540695155*m**3 - 78948*m**2 - 2432*m.\nAnswer: 3244170930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 1:29 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 1 - 3. Put 1, f, -3 in decreasing order.\nAnswer: 1, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -377525943 divided by 2374377\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1848 - 2*d + 1847 - d. Suppose 0*m - 6 = -2*m. What is b(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 2*o**2 + 7*o + 4. Let s be z(-4). Let w = -101 - s. Let r = w - -48. Solve -r*t + 3 = -6*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - f + 1. Let g be y(1). Let m(k) = -k**3 - 10*k**2 - 17*k + 26. Let w be m(-7). Suppose 7*l = 6 + 15. Sort g, l, w, 4 in decreasing order.\nAnswer: 4, l, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 - 130 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 31?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -18 (b) -4 (c) -9\/94 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -1324\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 338 - 339. Put -2, 2, m, 39 in descending order.\nAnswer: 39, 2, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/26)\/((7\/(-72))\/((-42)\/8)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -34026?\nAnswer: 5\/34026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -0*p - p. Let r(g) be the first derivative of -14*g**2 + 3 + p*g**2 + 3. Let k(i) = i**2. Determine r(k(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368401 + 17*g + 368401 + 26*g.\nAnswer: 43*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 835 - 494. What is the highest common factor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031872 a multiple of 1513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2899.977611 rounded to 0 decimal places?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1452\/120) + 13.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + s + 3. Let h(m) = m**2 - 2*m - 2. Suppose 4*c + 3*f = 31, 4 = -23*c + 19*c + 4*f. Determine c*u(o) + 3*h(o).\nAnswer: -o**2 - 2*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + 4*v + 0*v + 17*v + 10*v + (1 + 0 - 3)*(3*v + 0*v - v) - 2*v - 2*v + 2*v)*(-2*v**2 - 10*v**2 - 6*v**2).\nAnswer: -414*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*n + 5*r + 3678 = 0, -3*n - 4*r + 11053 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -363*j + 1139. Let k be i(3). What is the greatest common divisor of k and 400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.646 + -11.646. What is the fourth biggest value in -0.5, i, 22.5, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 5*l, -4*x + 0*x + 2*l = 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -170, 49, 2, 1, -5 in increasing order.\nAnswer: -170, -5, 1, 2, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.16 and -2.3.\nAnswer: 4.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 486297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 1. Let v(r) = -r**3 - 13*r**2 - 6*r - 20. Let i(a) = 4*b(a) + v(a). Let c be i(-13). Solve 5*f + 5*q = 0, 2*f = -q + 1 + c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + d - 2. Let o be a(-2). Suppose o = z - 0*z. Let p(c) = -c**3 - c - 5. Give p(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 0.3, 3, 13013 in descending order.\nAnswer: 13013, 5, 3, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, 1, -4, -12\/37?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - r**2 + 2*r - 1. Let l be p(2). Suppose -i + 145 = 4*k, -2*i + l*i + 3*k = 810. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2459 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -410245 or -0.1?\nAnswer: -410245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + -6 + 5 + 0. Let i(g) be the first derivative of -g + 1\/3*g**p + 0*g**2 + 1. Solve i(j) = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 - -37. Let j be t\/7*(-2)\/4. Suppose x - 4*k = -j*x + 16, -5*x + 14 = -2*k. Is 1 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**3 - 56*x**2 - 240*x - 189. Let a(y) = -y**3 + y + 3. Let z(c) = 15*a(c) + 5*m(c). Solve z(p) = 0.\nAnswer: -3, -1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + 10*d - 20*d - 3*d**4 + 9*d + 4 to the form n*d**3 + y*d**2 + q + p*d + f*d**4 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 34*m.\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, i: 2}. Give prob of picking 1 e and 1 i.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1370270465 to the nearest integer?\nAnswer: 37017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462, 495, 518, 525, 510, 467?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -23*r**3 + 4*r**2 - 3*r + 17. Let f be o(-6). Suppose 3*y = 21686 - f. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 = -f. Let c(w) = 12*w**2 - 2*w**3 - f*w + 0*w**3 - 7*w - 1 + w**3. Let x be c(11). Is x at most as big as 2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + -6*sqrt(48))**2.\nAnswer: -96*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14521.\nAnswer: 13, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**3\/3 + r**2\/2 - 7. Determine d(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 20 = -11*l. Let z be (l*1329)\/(-6) - (1 - 0). What is the greatest common divisor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, 0, 3, -4 in descending order.\nAnswer: 10, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48)\/(-16) + (0 - -2). Suppose -u*k = 23 - 243. What is the highest common factor of 110 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 24 = 6. Let r be 14\/8 - l\/72. Solve a = 2*y + r + 7, a = -y - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31, -67, -107, -151, -199, -251, -307?\n\"Answer: -2*m**2 - 30*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342082?\nAnswer: 2, 13, 59, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - r + 2*r = 0, 24*r = 22*r + 4. Solve -y*s = -14*v + 16*v - 14, v + 5*s - 27 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -31, -3, 2\/13, -108, 110, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10344.5583 + -9878.538. Let r = 466 - s. What is r rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -621a (base 16) to base 7\nAnswer: -133135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -913256 > -1826511\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**2 + h - 1. Let w be b(2). Let j = w - 61. Is 4\/(-10) - j\/10 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*c - 137 = 2*c, 5*m = 4*c + 310. Is 33 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:38 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-7)\/h)\/h**(-1\/4))**(-29)\/((h**3\/(h\/(h**0\/h)))\/(h**(1\/2))**(3\/17)) assuming h is positive.\nAnswer: h**(15221\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 1519*f + 28*f**3 + f**2 + 1519*f + (0 - 2 + 3)*(-9*f**3 + 42*f**2 - 42*f**2).\nAnswer: 19*f**3 + f**2 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 4. Determine c(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22115 or -22114?\nAnswer: -22114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 16*f**3 + f**2 - 68*f + 454. What are the prime factors of u(8)?\nAnswer: 2, 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*h**3*o**2 + h**2*o**2 - 3*h*o**2 + 103*o**2 wrt h?\nAnswer: 78*h*o**2 + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3087311 and 405362.\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(11) + sqrt(11) + 3 + -2 - 1*(sqrt(1584) + -4))**2*6 + 0.\nAnswer: -240*sqrt(11) + 6624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 9*t**2 - t - 10. Let j be x(-9). Suppose 0 = 3*z - 12, -4*y + 3*z = 3 + 5. What is the lowest common multiple of y and (j + 0)\/((-10)\/40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3*l**2 - 46*h**3*l + h**2*l + 60*l**3 - 1 wrt l?\nAnswer: -2*h**3 + 360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/25, -1\/3, 1\/4, 2, 0.7 in decreasing order.\nAnswer: 2, 0.7, 1\/4, -6\/25, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.67 and 11.\nAnswer: 7.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 34527*y**2 - 1530*y. Let u(d) = 566*d**2 - 25*d. What is -5*m(w) + 306*u(w)?\nAnswer: 561*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 5*v**2 - 6*v + 5. Let q be o(-6). Suppose 2 = -p + 4*g, 3*p + g = q*g + 26. Let c(k) = -k**2 + 14*k - 2. Let j be c(p). Is -4 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2328533445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 6, u: 1, j: 1, c: 3}. What is prob of sequence rj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 101111 (base 2) to base 4\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l = -5*d + 15, 4*d + l - 12 = 0. Suppose -d*t + 3 = -6. Let a be 2 - (t - (-10)\/(-8)). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 4:02 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i*i**(-1\/6))))**(2\/19)*i**(-8)*i\/i**(-2\/5) assuming i is positive.\nAnswer: i**(-1826\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b22 + e?\nAnswer: -b13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 3, -5\/3, 5, 0 in descending order.\nAnswer: 5, 3, 1\/3, 0, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -54. Let i = -10 + v. Let l(u) = -i + u + 14 + 0*u. Let f(j) = -3*j. What is l(f(d))?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612369 is divided by 612354?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3453093.00026 + 3453122. Let k = -0.06 + -28.94. Let l = i + k. What is l rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 208*c + 6854. Give k(-41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6629\/3 = 2211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3*((sqrt(5) + 0)*6 - (sqrt(5) + 3)*-4) + 3)**2 + 4).\nAnswer: 5940*sqrt(5) + 16779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1)*(554\/18 + (-27)\/(1215\/(-10))).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1218273 (base 10) to base 2\nAnswer: -100101001011011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Let l(p) = p**2 + p**2 + 5 + a*p - p**2. Let k be -6*12\/4*(-2)\/(-9). Calculate l(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2 and -3614\/35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 47, 98, 161, 242, 347, 482, 653?\n\"Answer: p**3 + 44*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.772819l?\nAnswer: 3772.819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 30969720.\nAnswer: 30969720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**6\/90 + 8*w**5\/15 + 32*w**4\/3 - 7*w**3\/3 - 6*w**2. Let m(l) be the first derivative of o(l). Factor m(f).\nAnswer: 4*(f + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101\/290 - 3\/58. What is the closest to f in 36, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14775659 a multiple of 570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -3. Suppose v*r - 166 = -26. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*h + 44*h + 20. Find the second derivative of -74*a**h + 149*a**4 + 74*a - 23*a**5 - 75*a**4 wrt a.\nAnswer: -460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 3 + 4)*(2 - 3 + 2) - 19 + 16 - 8)*(-t**2 + 0*t**2 - t**2) - 23*t**2 + 26*t**2 - 87*t**2 to the form c*t**2 + l*t + k and give c.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17486 not equal to 7570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + -29 + 845\/65.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74550382.\nAnswer: 2, 41, 909151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77.3672 + -0.3672. Sort 2\/13, 3, i, -3\/5 in descending order.\nAnswer: i, 3, 2\/13, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 32 = 5*o, 8 = o - w - 0*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m = 0. Let g = -75 + 76. Which is the biggest value? (a) m (b) 12 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 7*t + 9. Suppose -j - 4 + 9 = 0, 0 = 3*w - j + 17. Determine a(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134090249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8835850 rounded to the nearest one hundred thousand?\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -271 - -274. Let y be 3\/15 - (-6)\/(-255). Let g = 32\/85 - y. Put 2\/9, g, v in decreasing order.\nAnswer: v, 2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 9*j**2 + 20*j - 38. Let g(r) = 6*r - 16. Let i be g(4). What is the least common multiple of k(i) and 1?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 6*q + 21, 0 = -5*q - 2*t + 17993 - 18008 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55064157761 minus 0.1?\nAnswer: 55064157760.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/21)\/g*g**(-5) assuming g is positive.\nAnswer: g**(-127\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**5\/13 - 98*j**4\/13 + 704*j**3\/13 - 1672*j**2\/13 + 672*j\/13 = 0.\nAnswer: 0, 1\/2, 4, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21665767, -21665769, -21665771?\nAnswer: -21665773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -16\/7 (b) -0.07 (c) 1.8 (d) 0.7 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.394401 decades to millennia.\nAnswer: 0.07394401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11509\/1860 - -50\/93. Calculate the common denominator of p and (12\/(-352)*2)\/(12\/(-1552)*2).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2264 - 26*b - 28*b - 22*b - 30*b + 100*b.\nAnswer: -6*b - 2264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 - 4.07. Let l = -4.1 - t. Let x = -2 - -2. Which is the nearest to 2\/5? (a) x (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/990 and -16\/14289.\nAnswer: 428670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + k)*(15 - 31 + 9 + 4*k**2).\nAnswer: 4*k**3 - 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66931633 to the nearest integer?\nAnswer: 8181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14094 + 14097. Which is the closest to -3? (a) 16\/5 (b) 0.02 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243223145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803854?\nAnswer: 2, 277, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(468)))**2.\nAnswer: 108*sqrt(13) + 4221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187, -636, -1371, -2398, -3723, -5352?\nAnswer: -7291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l**2. Let z(x) be the third derivative of -1\/24*x**4 + 0 - 9*x**2 + 0*x**3 + 0*x. Give q(z(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(3\/9 - 0). Solve -u = -n - 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 875 = -13*b. Calculate the remainder when b is divided by (-8)\/(-6) + -1 - (-51)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**2 + 28*t + 65. Let u be a(-11). Calculate the highest common factor of 384 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 1)*(4*m + m - 3*m)*(-4*m**3 - 13*m**3 + 0*m**3) in the form g*m**4 + p*m**2 + u*m**3 + x + w*m and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -3.2. Let s = u - -5. What is the smallest value in s, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*m**3 - 344*h*m**2 - 19*h*m - 8738*m**3 - 4*m + 1 wrt h.\nAnswer: -m**3 - 344*m**2 - 19*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1156858 + 1953038. Round b to the nearest 10000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -12*o - 3. Let t be i(-4). Suppose -5*r + t = 2*l - 35, -3*r + 2*l = -64. Suppose 2*p + 4*j = -j - r, -j = 4*p. Is 1\/4 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 103.787?\nAnswer: 41.5148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.047 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q. Let h(b) = 300*b - 607*b + 42*b**2 + 174*b**2 + 307*b. Give t(h(g)).\nAnswer: 1944*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a - 25*a**2 + 10*a + 68*a**2.\nAnswer: 43*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + (4*(-1 + sqrt(605)) + sqrt(605) + sqrt(605))*-5)**2.\nAnswer: -13200*sqrt(5) + 544895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*u + n - 92, -4*n - 16 = -u. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1577 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 696 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120873714 to the nearest integer?\nAnswer: 10994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 167913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 1\/4*y**4 - 37\/3*y**3 + y**5 - 11 + 0*y + 0*y**2. Find the third derivative of p(h) wrt h.\nAnswer: 120*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 923, 943, 975, 1025, 1099, 1203?\n\"Answer: n**3 + 13*n + 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.08 and 62494.700303.\nAnswer: 62494.620303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4796, 7229, 9700, 12203, 14732, 17281, 19844?\nAnswer: 22415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10351 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1000 by 4.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50\/3 or -145?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12871 - -450517\/35. Calculate the common denominator of -43\/154 and a.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 49 + 71 = -5*m, 0 = 5*s + m - 120. Solve -s = -2*v + 4*d, 0 = 5*v - d + 4*d - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 167 + 0?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272, 297, 352, 449, 600, 817, 1112, 1497?\nAnswer: 1984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-8)*b**(-1\/7) assuming b is positive.\nAnswer: b**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4190676 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.41914l in millilitres?\nAnswer: 13419.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10af (base 16) to base 2.\nAnswer: 1000010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 1, -87, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 8:03 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.61 (b) -10 (c) -91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(4\/3)*v))\/v*v)\/v*(v\/v**(-14))\/v)\/(v**18*v*(v\/(v\/(v*v**8))*v)\/v*v) assuming v is positive.\nAnswer: v**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 - 4*g**2 - 29*g - 87. Let o be l(-5). Calculate the highest common divisor of o and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nne when three letters picked without replacement from {n: 5, e: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**3 - t**2 - 3*t - 4. Let g(w) = -2*w**3 + w**2 + 3*w + 3. Calculate 3*f(v) + 4*g(v).\nAnswer: v**3 + v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - 6*l**2 + 6*l**2 + 2*l)*(-4*l - 2*l - l + (0*l + 6*l - 4*l)*(1 - 2 + 4))*(3*l + l - 3*l).\nAnswer: l**5 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 1\/15, 1\/14, -3?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99.7 - 96.7. Which is the closest to -3\/7? (a) 0.3 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 5. What is the units digit of (-442)\/(-16) + d\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*x + 34*x + 37*x + 164*x**3 + 48*x.\nAnswer: 164*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 2410202?\nAnswer: -2410213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 2*t. Let z be q(-3). Let p = -0.26 - -0.06. Which is the third smallest value? (a) p (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i + 0*i - 4*i)*(-3*i**4 - 12*i**4 + 5*i**4) - 3*i**5 + 6*i**5 - 2*i**5.\nAnswer: -9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10629908*l**4 + 10629060*l**4 - 51*l + 21*l**2 - 50*l wrt l.\nAnswer: -20352*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -18*n + 172. Let k = n + -40. Which is greater: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.5 - 18. Which is the closest to 23? (a) v (b) 2\/3 (c) 1\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*y - 0*y + 2*x, 5*y + 5*x = -40. Let q = 16 + y. Suppose q*s + 180 - 770 = 0. Does 43 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -89. Let x = 79 - s. Is (0 + 2)*x - -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-25))\/g*g**7 assuming g is positive.\nAnswer: g**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -7)\/(3\/4). Let c = 132 + -89. Let h = c - j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0, -2\/11, 0.3, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40692, 40697, 40702, 40707?\n\"Answer: 5*n + 40687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from flllfll?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 60, 96, 154, 234?\n\"Answer: 11*u**2 + 3*u + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-16)\/20)\/2)\/2531842. Let n = -431172702\/59498287 - i. Let l = n + -26\/47. Find the common denominator of l and -22\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -413539*i. Let q(a) = 2*a**2. Calculate z(q(s)).\nAnswer: -827078*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -915*x**5 + 560*x wrt x?\nAnswer: -18300*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -41476, 1, -1 in increasing order.\nAnswer: -41476, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 192025637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -489349 and -682.\nAnswer: 333736018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 2*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 1516?\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 183\/27 - (-4)\/18. Let b be (10 - k)*(1 - 0). Suppose 0 = f - 34 - b. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 134434 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 9 - 5 = 0. Suppose 5*d + 5*b - 44 = -9, 5*b = 2*d + w. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 12. Is p at most as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(-8 + 0 + 6)*(-6 + 0 + 2)*(-k + 2*k - 2*k + (-4 + 1 + 4)*(-1 + 1 + 3*k)) in the form v + o*k and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 25 = 4*a. Let c(h) = -a + 4 + 0. Let j(w) = -2*w - 7. What is 5*c(i) - j(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 - 8*o - 4. Let y be r(-3). Suppose 0 = 5*w - y*l - l - 17, 2*w + 4*l - 12 = 0. Solve c = w*g + 12, 2*g = 3*c + 5*g + 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.34 - -26.34. Let i = -26.1 + h. Let m be 21\/18*4\/7. Which is the closest to -1? (a) 5 (b) i (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/3*4\/10)\/((-50)\/125)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 12 = -0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) 0.4 (c) -0.0163206 (d) 2\/9 (e) 0 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrryyryyrrry. What is prob of sequence yr?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2428260805 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + -10 - -8) + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 8. Let x = 123 + -36.9. Let u = 86 - x. Which is the third biggest value? (a) n (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1660?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*m = 104*m + 4. Suppose -3*b = 5*f - 8*b + 30, m = 5*f + 3*b. Put -1, -13, 4, f in decreasing order.\nAnswer: 4, -1, f, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/402 and 133\/594.\nAnswer: 39798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10604*f*t**3 + 64*f*t**2 - f*t - 7*t**3 - 30*t**2 wrt t.\nAnswer: 63624*f - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.17 + -0.17. Is g less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -121\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(3) + sqrt(108)) + ((sqrt(42)\/sqrt(3))\/sqrt(7))**2.\nAnswer: sqrt(2)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 68?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-1350)\/120))\/(9\/(1980\/16)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5340*f - 321119 - 196861 for f.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81.9 - 82.3. Which is the third smallest value? (a) -2 (b) l (c) -2\/3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78 - 70*d - 78 + 290*d to u*d + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -52 and -173662?\nAnswer: 173610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 - 17*j + 1 to the form x*j + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1100100000001011 (base 2) to base 7\nAnswer: 302206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/238 + 57\/595. Which is the biggest value? (a) 2 (b) 0 (c) y (d) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(1 + 0 + 0)*((0 + 0 - 1)*(-b - b + 3*b) - 2 + 2 - 4*b).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12*i**2. Let x(h) = 18*h + 669. Determine x(p(u)).\nAnswer: -216*u**2 + 669","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 + 22*x. Let m be u(10). Suppose 4*n - 2*q = 2*q + 60, 4*n = q + 72. Let s = n - m. Put -2, s, 5 in descending order.\nAnswer: 5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13812063?\nAnswer: 3, 37, 124433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 20 = -22. Suppose -5*i + 81 = -2*y + a, 8 = 2*y. What is the greatest common divisor of i and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 3264 = -3488. Let n(t) = -3*t + 252. Let h be n(0). What is the highest common divisor of m and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25211042 (base 8) in base 9?\nAnswer: 11436658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.42 in 20, -3\/4, 3, 105?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 613612409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28\/(-7))\/(2\/(-78)). Find the third derivative of -35*z**4 - t*z**2 + 71*z**2 + 69*z**2 wrt z.\nAnswer: -840*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frfhrhhfffibhrh. What is prob of sequence ifh?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 17*i**4\/24 - i**3\/2 - 3*i**2. What is the remainder when c(4) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 726 and 54?\nAnswer: 6534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + m + 7 = 0, 3*g = -7*m + 8*m + 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + h + h - 14, 4*v - 5*h = -30. Let u(z) = -3*z + 18. Let w(f) = f - 2. Let q(l) = -u(l) - 4*w(l). Calculate q(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -0.046, 1239 in decreasing order.\nAnswer: 1239, -0.046, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-30)*30\/(-4). Let m(o) = o**3 + 16*o**2 - 2*o - 30. Let p be m(-17). Let v be 3\/(-5) - 0 - p\/225. What is the closest to 0.1 in -3, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 4\/5, -17\/5 in ascending order.\nAnswer: -17\/5, 0.1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -173, -396, -663, -974?\n\"Answer: -22*p**2 - 157*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.7 + -1.7. What is the nearest to m in -5, 0.1, 3\/2, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081774697.\nAnswer: 67, 127, 127133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 537\/72 - 7\/21 and 15\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 0)*-1*(-1)\/3. Let o = 80 - 82. Which is the closest to n? (a) o (b) -2\/15 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -33*g**3 + g + 1. Let d be o(-1). What is the units digit of 2\/7 + d\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 612 and 3468.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54629, 218605, 491877, 874427, 1366237, 1967289, 2677565?\nAnswer: 3497047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 413 + -226. Let h = 187.099 - o. Let m = h - 7.799. What is m rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -658174 and 233.\nAnswer: -657941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 12*m**2 + 170*m + 1438. Let d be a(-7). Factor -2\/7*s**d - 60\/7*s**2 - 2000\/7 - 600\/7*s.\nAnswer: -2*(s + 10)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 - -44. Let j(c) = -5*c**2 + 3*c. Let s(o) = -60*o**2 + 35*o. Let m(z) = a*s(z) - 25*j(z). Factor m(h).\nAnswer: 5*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 0*h**5 - 6*h**5 + (1 + 3 - 7)*(-7*h**5 + 3*h**5 + h**5).\nAnswer: 2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/((84\/(-49))\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 58058 = -57874 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112985 divided by -22597?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37180884 by 9295221.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28\/35)\/(1*-2 - -8). Let t(l) = -l**2 - 6*l + 4. Let u be t(-6). What is the closest to u in c, 3\/5, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*q*w**2 + 35*q*w - 2478*q - 54*w**2 - w wrt w?\nAnswer: -4*q*w + 35*q - 108*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 16*k - 29. Let r be x(-6). Which is the biggest value? (a) 3 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - -0.3. Let o = 0.02 - 2.62. Let b = 3 + o. What is the nearest to 0.1 in n, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, z: 5, s: 1, c: 1, d: 3}. What is prob of picking 1 z and 2 d?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4354 is divided by 333.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 13 = -5. Calculate the highest common factor of 32 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 5 = 2*h. Let a(w) = -4*w + 10*w**2 + 4*w + 1. Determine a(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiaimzg. What is prob of sequence zg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**5\/90 - 31*z**4\/27 - 65*z**3\/27 + 14*z**2 + 6*z + 90. What is r in w(r) = 0?\nAnswer: -2, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - x + 24. Suppose -5*a + 0*a = 0. Let j be n(a). Is j\/(-15)*(-110)\/4 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 654 or 652?\nAnswer: 652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(12)*1)**2 + sqrt(21)\/(sqrt(7)*1))*4.\nAnswer: -96 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3088, 6175, 9262, 12349, 15436, 18523?\nAnswer: 21610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -41332 (base 6) to base 10\nAnswer: -5528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*m = -61*m + 256 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 58706600.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 89885 and 11.\nAnswer: 988735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1025*f**2 - f. What is the least common multiple of 20 and g(1)?\nAnswer: 5120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1268.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/(3 - (-20)\/(-16)) and 31\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 3*h - 8. Let k be f(-7). Solve k = 6*z - 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.7 (b) 3\/44 (c) -2 (d) -0.1 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5400468 and 6?\nAnswer: 5400468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2 + 31864*x + 253828624 = 0. Calculate x.\nAnswer: -15932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 22847391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -235*o**3 + 3*o**2 - 2*o + 21. Let d = 79 + -83. Is t(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 12:47 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705950256.\nAnswer: 2, 3, 11, 1337027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25 from 0.103983502689.\nAnswer: -24.896016497311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 10.13 and 120778.\nAnswer: 120788.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 764127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, n: 2, i: 1, l: 1, h: 3}. What is prob of sequence hl?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(847) - (-1 + sqrt(847) + (sqrt(847) - (sqrt(847) + 2)) + sqrt(847)))**2 + -4*sqrt(28)\/sqrt(4) + -4)*6.\nAnswer: -1680*sqrt(7) + 20448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 + 180 + 12*z**2 - 179 - 31*z**2 + 8*z**2.\nAnswer: -5*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + 1021011?\nAnswer: 1021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - -8 - 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**3 + 927*s**2 - 24497*s - 1079. Determine b(-155).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + 0 + (1004 - 965)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5046663 a multiple of 831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -9253730?\nAnswer: -9253731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 12*d**2 - 27*d - 30. Let r be k(-10). Suppose -2*p = -4*p - 4, -2*w - 3*p = -r. Calculate the remainder when 389 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.23 and -52859.56033.\nAnswer: -52859.79033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -1. List the prime factors of 6 + q\/(9\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + r = 181, 0 = k + 2*k + r - 270. Let c = 86 - k. Let a = 8 - 10.2. Put a, -0.4, c in ascending order.\nAnswer: c, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**2 - 4*d**2 + 3*d**2)*(-2 + 4 + 0)*(2*d - d - 2*d) to the form s + t*d**3 + z*d + q*d**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2961 (base 12) to base 15.\nAnswer: 166a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/3 - 740*v\/3.\nAnswer: -4*v*(v + 185)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 224.3898 to one dp.\nAnswer: 224.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320870035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11 + 88\/(-11) - -909.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.3809 to one decimal place.\nAnswer: -63.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 78 = -2*u, -5*l + 16 = 4*u - 102 - 18 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 divided by 753?\nAnswer: 443\/753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 481.84930795 + 482.4\nAnswer: 964.24930795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) -3 (c) -0.0655\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -19*u**4\/12 + u**3\/6 - 301*u**2\/2 - 2*u + 49. What is the derivative of i(b) wrt b?\nAnswer: -38*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42039 is divided by 7640.\nAnswer: 3839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.057 * 4\nAnswer: -0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 0, -0.1, -0.05 in ascending order.\nAnswer: -0.1, -0.05, 0, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*k = -111 + 1152 + 4991 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 45 = 3*i + 5*u, -5*i + 5*u + 75 = 0. Let x be (-23)\/6 - i\/90. What are the prime factors of 10*x\/6*-6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -192, -3, -169, 9, -5, 2, 5 in descending order.\nAnswer: 9, 5, 2, -3, -5, -169, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 3:58 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 7:34 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 minus 0.058?\nAnswer: -2.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2445*h**2 + 8*h - 367. Let u(z) = 2447*z**2 - 10*z + 369. Let v(w) = -5*m(w) - 4*u(w). Differentiate v(i) wrt i.\nAnswer: 4874*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0 + (-7 + 2 - 1)*(-1 + 3 - 1))*(-3*q**5 + q**4 - q**4).\nAnswer: 15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.06 (b) -3 (c) 1.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 - -0.2. Let w = 969 - 2837\/3. Let s = 24 - w. What is the second smallest value in q, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 12 = 4*q, -8518628*j + 8518629*j + 2 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -183?\nAnswer: -17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -34*m. Let q(z) = 0*z - z + 0*z + 0*z. Let n(i) = -2*i**2 - 2*i. Let b(o) = n(o) - 2*q(o). Give f(b(r)).\nAnswer: 68*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 267.\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 5*n**3 + 6*n + 2*n**3 - 4*n + n + 3*n**4.\nAnswer: 3*n*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*d - 18, -21 = -5*z + 3*d - d. Find u, given that 6*u**2 - u**3 - z*u**2 + 1 + 3*u**2 - 3*u - 3*u**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/32, 27, 20\/19, -0.0166?\nAnswer: -0.0166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*h = -7*h + 179, -3*y = -6*h - 174. Calculate the highest common divisor of y and 4598.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**2\/x))\/(x*x\/(x**(-6\/11)\/x)*x))**(3\/8) assuming x is positive.\nAnswer: x**(-183\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/7, -3, 0, 1\/2, 4, -52, -0.047?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j - 2*j - j + (0 + 2 - 1)*(-6*j + 3*j + 4*j) + (-1 + 1 + 2)*(5*j + 0*j - 9*j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 129822 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6)*1)\/(9\/810*9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 130, 1235, 3314, 6367, 10394, 15395?\n\"Answer: 487*i**2 - 356*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1\/2, -3, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2921.\nAnswer: 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -1, -29*f + 24*f + i + 86 = 0. Solve 11 = -7*t - f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 5, h: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 + 123. Suppose 2*z + u - 149 = 0. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -2150405?\nAnswer: -6\/430081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/697 and -54\/11.\nAnswer: 7667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 109 divided by 9\nAnswer: 109\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 k, and 1 c when four letters picked without replacement from wwkckdw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -804527.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -120, -4, 0 in descending order.\nAnswer: 0, -4, -16, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -17. Let j = t + 3. Find the third derivative of 0 + 5*x**j - x**4 + 0 + 4*x**4 wrt x.\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/653 (b) -3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*l - 23 = 7, -2*p + 21 = -3*l. Let h = 15 - 26. Calculate the smallest common multiple of (-4)\/(16\/12) - h and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8858615 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -92, -98, -106, -116, -128?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, s: 4, b: 4}. What is prob of picking 2 s and 2 b?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 25*u - 12 = 20*u, 0 = -4*f - 24*u + 104 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 3*g - 13. Let s be f(3). Suppose s*u - 5*j - 8015 = 0, 11*j = 2*u + 10*j - 3206. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 642723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4169 - -4155. Is 4 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -2 + sqrt(343) - (-5 + sqrt(7) + -3))**2.\nAnswer: 156*sqrt(7) + 1219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1234*c. Let g(j) = -j**2. Determine g(h(o)).\nAnswer: -1522756*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -20, 5, -2, 2 in increasing order.\nAnswer: -20, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -181*h**5\/20 - 8*h**3\/3 + 37*h + 1. Find the second derivative of n(g) wrt g.\nAnswer: -1086*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768 = 82*y + 14*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1\/27 (b) -4 (c) 2\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324 = 172*y + 418 + 118 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**3 - 13*u**2 - 10*u - 7. Let y(p) = 7*p**3 - 24*p**2 - 20*p - 13. Determine 11*o(s) - 6*y(s).\nAnswer: 2*s**3 + s**2 + 10*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 7:35 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 459\/2*s**2 - 1215\/2*s - 729\/2 - 53\/2*s**3.\nAnswer: (s - 9)**3*(2*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42349732.\nAnswer: 2, 491, 21563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w + 160. Let x(c) = -2*c - 1. Let h(l) be the second derivative of 11*l**3\/6 + 3*l**2 - 219*l. Let s(v) = -h(v) - 6*x(v). What is s(t(n))?\nAnswer: -3*n + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -60 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*g = -52*g + 30 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012220 (base 3) in base 13?\nAnswer: -534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 906 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a + 3159. Let t(q) = 53*q - 18954. What is -2*t(i) - 13*u(i)?\nAnswer: -2*i - 3159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -9826 - 5765 - 2*v**2 - 4094 - 676 in the form b + k*v**2 + g*v and give b.\nAnswer: -20361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -938868 = -260*z + 248*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*h + 2*h - 12*h - 111 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(1\/(86\/(-4))). Let z = 68 + n. Suppose 5*r = -5*q + 5, -4*q = 3*r - 3*q - 5. Solve 3*v = -r*v - z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 7*j**2 - 8. Let w(z) = -z**3 - 7*z**2 + 6. Let f be w(-7). Suppose -f*x - 183 = -147. Give y(x).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -0.2 (b) 1\/12 (c) 3 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a decade in months?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*x + 5*b, -x = -3*x - 4*b - 30. What is the closest to 0.2 in x, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/23 (b) 4 (c) -3\/5 (d) -9 (e) 0.069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(3 - 0\/(-4)). Let c be -3 + 3 - b - -12. Suppose c = k + 9. Solve 2*s - 2 = -3*t - 3*s, -k*t + 2*s - 4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0319 - 0.3681. Which is the closest to 2\/3? (a) 0.5 (b) 0.17 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 2*t = -4*u + 10, -u = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1567328 or 1567326?\nAnswer: 1567328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 302118 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 7*y**6\/30 - 5*y**4\/6 + y - 7. Let b(o) be the first derivative of u(o). What is the third derivative of b(j) wrt j?\nAnswer: 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 562 by 6625.\nAnswer: 562\/6625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 3*x - 3. Let q be t(4). Let u = 9 + q. Suppose u*v + 2553 = -14847. What is v rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*w**6 + 4 + 33*w**2 + 2*w**5 + 5*w**2 + 0*w**5 - 19*w**2 wrt w.\nAnswer: -1080*w**3 + 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 a, and 1 b when three letters picked without replacement from bwbbweaweb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 129732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -1. What is the second smallest value in 1\/4, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*p - 305, 7*r - 5*p - 122 = 5*r. List the prime factors of r.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r + 21 = -5*a, -r + a = -6. Let t(x) = x**2. Let o be 4*(-3 + 4) + -3. Let m(u) = -2*u**2 - 4*u + 1. Let z(j) = o*m(j) + 3*t(j). Calculate z(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - sqrt(66)*1)*-5 - (sqrt(66) + -1*sqrt(66)*-5))\/((sqrt(1452) + 1*sqrt(1452) + sqrt(12))\/sqrt(2)))**2 + 2.\nAnswer: 1454\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**3\/3 - 144*f**2 + 20736*f - 1668. Determine z so that i(z) = 0.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 304*v - 1219. Let o be u(4). Put 41, o, -30 in increasing order.\nAnswer: -30, o, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(4896) - sqrt(4896)) + sqrt(4896))\/(sqrt(8)\/(sqrt(20)\/(sqrt(40)\/sqrt(8)))).\nAnswer: -168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -20 - 57) + 12.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 6*c - 4. Suppose 4*y = -5*q + 9*q - 24, -y - 14 = -3*q. Determine u(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39178 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22506*u - 328032 = -25722*u for u.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12372492.\nAnswer: 2, 3, 11, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express -52 - 2*p + 26 + 28 as n + a*p and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 divided by -77?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 54. Let o be ((-10)\/(-20))\/(1\/n). Which is the nearest to -0.02? (a) o (b) -1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4396000 rounded to the nearest one hundred thousand?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2345478, -2345519, -2345560, -2345601, -2345642, -2345683?\nAnswer: -2345724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49979 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 43*y**3 - 3*y**2 + 8*y - 6. Let j be q(1). Let o be 6*-5*(-38)\/5. Let k = o - 123. Calculate the greatest common divisor of j and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from {i: 2, s: 1, h: 4, a: 7, w: 3}.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1228 times 2?\nAnswer: 0.2456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a microsecond in nanoseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjjjrzzzrzrzzzhzjj. What is prob of sequence jjzz?\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.56999ns to seconds.\nAnswer: 0.00000000656999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29\/2 of a millennium?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1165, -9204, -30985, -73378, -143253, -247480, -392929, -586470?\nAnswer: -834973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 2*b + 3, -19*g = 2*b + 20 + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*s + 56 = 35*s + 698. Sort s, 197, 4, 5, 3 in decreasing order.\nAnswer: 197, 5, 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 29*h - 20. Let t be g(22). Is t\/8 + (-3)\/(-12) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -315213011 (base 6) to base 16.\nAnswer: -54fc1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - q**2 + q + 2. Let g(m) = 12*m**3 - 10*m**2 + 3*m + 6. Give 3*f(u) - g(u).\nAnswer: -9*u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7656939.4 and 38.\nAnswer: 7656977.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -45 (b) 3 (c) -0.3 (d) 0.4 (e) -33.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-841 + 410 + 408)*(2*c - 2*c + 2*c).\nAnswer: -46*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9 + -0.8. Let u = -1 + q. Let a be 3\/2*3\/(-45). What is the second smallest value in 0.3, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 22737\/1370?\nAnswer: 22737\/1370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**3 + l**2 + 101*l + 29. Let v be x(-10). Round v to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-63 - (-12753)\/218)*148\/18\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37416000 rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from vey.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rijz when four letters picked without replacement from qziqjrr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 104.77705 times -0.5\nAnswer: -52.388525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1276655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 25 = 12*f. Let k(b) = -86*b + 31. What is the units digit of k(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h**3 + 14*h**2 + 12*h. Let x(r) = r. Suppose u = l - 2, 6 = l - 5*u + 4. Suppose l*f - 24 = -f. Let k(b) = f*x(b) - a(b). Factor k(d).\nAnswer: -2*d*(d + 1)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27015 = -1393*w + 18459 - 29724 - 28584 for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 equal to -141\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1123*c + 1128*c + 3*k = 15, -2*c - 10 = -2*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 2*r**3\/3 + r**2\/2 + 4*r. Let a be m(1). Calculate the greatest common divisor of 50 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18426739 is divided by 185?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(k*k**3)))\/(k\/k**(-1\/3)))**40*(k**(-1)\/k**2)\/((k*k*k\/k**7)\/((k*k**5\/k)\/k)) assuming k is positive.\nAnswer: k**(215\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1007 and 0.1.\nAnswer: 100.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 46 = -2*v, -4*v = -o - 0*o + 32. What is the smallest common multiple of 7*(-14)\/(-6) - 60\/180 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -122 + 78. Let a = b + 80. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/102327459 and 61\/1110?\nAnswer: 1023274590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 27*o + 61. Let q be h(-29). Suppose -2*r = 2*m - 342, 2*r - q*m + 159 = 501. What are the prime factors of r?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 162630 divided by 81315.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14487 and 1226478?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 117190334 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31723078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -718 + 707. Let g = -39 - -41. Which is the nearest to j? (a) g (b) 6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473*i = 480*i - 385. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.322495 micrometers in nanometers?\nAnswer: 322.495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362 + 1378*p + 362 - 271*p**2.\nAnswer: -271*p**2 + 1378*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*o + 9*o + 384 = 0. Let z(t) = t**3 + 6*t**2 - 9. Determine z(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -153, -5 in decreasing order.\nAnswer: -4, -5, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, 3, -124, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 60 = -2*b. Let w be (-3)\/b + (-32)\/(-10). Find the third derivative of 0*l**2 - 4*l**4 - w*l**2 + 5*l**2 wrt l.\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.5 + 3. Let o be (-4484)\/10620 - (-2)\/9. Which is the nearest to 2\/9? (a) j (b) -11 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -102454, -202471, -302488, -402505, -502522?\n\"Answer: -100017*w - 2437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8)\/((-2)\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 7*l**2 - 7*l - 6. Let v be c(8). Let k(z) = 5*z + 1 + 2 - 2. Let y be k(1). Solve y*p = v*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14256 and 24288.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-10)*-1)\/(2\/5)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-35) + (-11)\/231*1992)*-1?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -375*r**2. Let c be w(-2). What is c rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1153?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74\/3 + 25. Let z = -21 - -19. Let w be -8 - (3 + -5) - (1 + z). What is the closest to d in -4, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -5)*(-116)\/10 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279159196 to the power of 1\/2, to the nearest integer?\nAnswer: 16708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p + 2*p + 9*p)*(10*p + 60 + 69 - 128).\nAnswer: 200*p**2 + 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 72414 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 49 = -11. Suppose -2*n + 5*h = -310, -2*n - 4*h + 676 = 2*n. What is the greatest common factor of t and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 11:45 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 3*c**2 - 19039*c + 76187. Calculate y(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8314071617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21\/(-5))\/((-7)\/35). Suppose 2*m - 87 + b = 0. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a factor of 14203023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-2)\/(-8) + 930\/1240).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1241143 - 1012301?\nAnswer: 223342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13246 + -8169. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 12*k + 11. Let a be c(-9). Let u(p) = p**2 + 17*p + 18. Let l be u(a). Is 945\/42*l\/3 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 11:54 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -46385 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 14) to base 6.\nAnswer: -1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 949.694 rounded to zero decimal places?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1116 and 775?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l - 24. Suppose -4*y - 40 = -2*k, k - 28 = 2*y + 2*k. Let v be o(y). Solve v = n + 3*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4090 * 1611.\nAnswer: -6588990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681029589?\nAnswer: 3, 227009863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-8)*2*20\/(-16)*(-393)\/655.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*n**2 + 6*n**4 - 42*n**2)*(n - n - 2*n + (-2*n + 2*n - 2*n)*(5 + 1 - 4)).\nAnswer: -36*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3487498084?\nAnswer: 2, 7, 101, 199, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f + 78 = 31*f. What is the remainder when f is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(66)*2 + sqrt(66) + (sqrt(66) - (sqrt(66) - -1*sqrt(66))*-5))\/(sqrt(72)\/((sqrt(108)*1)\/sqrt(9))))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.796 minus -11863631342?\nAnswer: 11863631344.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1924 is divided by 84.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 324633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + 12 + 6 - -11) + 16?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5600 = 4*i + g, 5*i + 4*g = g + 6993. What is the remainder when i is divided by 467?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -91\nAnswer: 54.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3*(-161 - (-3 + 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n + 5*n**3 + (4*n**3 - 4*n**3 - 5*n**3)*(5 + 0 - 3))*(n + 0*n + n).\nAnswer: -10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16717 = -m - g, 0 = -m - 15*m - 3*g + 267511. Calculate the highest common factor of 80 and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*i + 50*i - 17*i to n*i + b and give n.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/3 (b) 0.1 (c) -2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-90) + (-52)\/(-9). Suppose 4*d - z*d - 15 = -3*c, 2*d + 6 = 0. Let l be c\/(220\/(-225) + 1). What is the highest common factor of l and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 34*y**2 - 715*y. Let g(q) = -96*q**2 + 2146*q. Give -6*g(a) - 17*h(a).\nAnswer: -2*a**2 - 721*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 1138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 129618 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 255, 3, 4, 5, -1426 in decreasing order.\nAnswer: 255, 5, 4, 3, 1, -1426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1 - -10) + (-10 - 11 - -25)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -1\/14, -0.3, 11 in descending order.\nAnswer: 11, 2\/13, -1\/14, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 17. Let m be k(9). Let j = m + -35. What is the third derivative of j + 2*z**2 + 2 - 2 - 2*z**4 wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1760 is divided by 1747.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1. Let s be -6 + (16\/10 - 12\/(-30)). Let m(v) = v**2 + 6*v + 6. Let c be m(s). Is c less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 2 (b) -17\/16423 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*h**4 - 7*h**5 + 7*h + 16*h**4 - 7*h**4 wrt h.\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11426 rounded to three decimal places?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 8577105\nAnswer: -34308420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -23*a**3 + 118*a**2 - 7*a + 25. What is n(5)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730914 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + (sqrt(78)*2 - sqrt(78)))*1 - 3*(sqrt(78)*-3 + sqrt(78)))\/(-3*-2*sqrt(1296)\/sqrt(6)).\nAnswer: 2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 + 20 - 5*x**3 + (2*x - 1 + 1)*(-3*x**2 - 4*x**2 + 5*x**2) + 3*x**2 - 3*x**2 - 2*x**3.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2579 and 59.\nAnswer: 152161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -20, 3, 5\/6, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 41132*g + 41128.\nAnswer: 4*(g + 1)*(g + 10282)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.4 + -8.4102. Let g = -0.006 - w. What is g rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-2 + sqrt(192) + 4 + -5 + (1 + sqrt(3) + -3)*-1 + -3)**2.\nAnswer: 36*sqrt(3) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53589 is divided by 80.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w - 3. Let t = 6 - 8. Let u be x(t). Find the third derivative of -5*v**3 - 9*v**2 + 12*v**2 + 3*v**u wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19, -76, -207, -442, -811, -1344?\n\"Answer: -5*z**3 - 7*z**2 - z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-30)\/(-8)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 10 - 10 - t**2 - 6*t. Suppose 0 = 2*o - 4*o - 12. Let k be x(o). Which is smaller: k or 1\/16?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24146613 or -72439835\/3?\nAnswer: -72439835\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 153 divided by -68\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 3:04 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-12)\/(-16)) - -6. Solve w*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 166\/(-470))*(-80565)\/30. Let q = -1737 - z. What is the biggest value in q, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*p**4\/5 + 312*p**3\/5 - 596*p**2\/5 - 504*p\/5 - 18 = 0. Calculate p.\nAnswer: -1\/3, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1862 - 4*w + 13950 - 3*w + 8*w.\nAnswer: w + 15812","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27697 + 1578*h - 27346 + 46*h wrt h?\nAnswer: 1624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 959 - 954. Solve p = 5*j + 25, i*j = -5*p + j + 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38745737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 37*c - 30. Let h(f) = -f**2 - 2. Let l(p) = 2*h(p) - w(p). What is the hundreds digit of l(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58885 divided by -13\nAnswer: 58885\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -13. Let f = 11.39 + -40.3. Let t = s - f. Which is the second biggest value? (a) -2 (b) t (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25117612 to the power of 1\/2, to the nearest integer?\nAnswer: 5012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Convert -435 (base 8) to base 7.\nAnswer: -555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 531133.6 tonnes in nanograms?\nAnswer: 531133600000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-2)\/(-4))\/(43\/6450) and 345.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10497 in 0.3, 2\/13, -0.2, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 3, v: 5, m: 1, n: 4}. Give prob of sequence nm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2286 = -11*t + 2*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 10*p**2 - 22*p + 17. Let r be q(1). Let o = 2 + -4. Let i(w) = -9*w**2 + 6*w + 5. Let t(v) = -4*v**2 + 3*v + 2. What is o*i(a) + r*t(a)?\nAnswer: -2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 6 = -2*f, -2*f - 6 = -4*n - 0*f. Which is the nearest to n? (a) -3\/5 (b) 2\/33 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*l - 14 = 0, 132*k - 5*l - 49 = 123 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-1 - -7) + -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**8\/168 - 751*j**7\/70 + j**6\/60 - 11*j**5\/60 - j**4\/8 - 43*j**3\/6 - 3658*j**2. What is the third derivative of w(q) wrt q?\nAnswer: 120*q**2 - 54072*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 2, a: 1, v: 1}. What is prob of picking 1 y, 1 v, and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21)\/(143\/(-7007)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1498 + -0.055. Let m = -0.0348 + j. Suppose -2*s + 3*v = -0*s - 20, 3*s - 4 = -2*v. Which is the second biggest value? (a) m (b) s (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 7. Let l be i(-9). Suppose 0 = -5*s + 3*h - h - 49, -s = 2*h + 17. Is l smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45795153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4824 and 495.\nAnswer: 265320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2943459?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53844 is divided by 692.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 21.086. Let x = u - 161.214. Round x to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 95 - 197. Differentiate 3 + 59 - 29 + 5*k**2 - 6*k**3 + n wrt k.\nAnswer: -18*k**2 + 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 7*h**2 + 5. Let z be r(-5). Let s be 415\/z + 2\/9. Let o = 5 - s. Calculate the remainder when 54 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -749*n**3 + 1032 + 230*n - 46*n + 5551*n**3 - 992 + 24402*n**2 + 1784*n = 0. Calculate n.\nAnswer: -5, -2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -53. Calculate the highest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.168255l to millilitres.\nAnswer: 7168.255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -277 - -206. Let f = v + 65. What is the second smallest value in 2, -2\/5, 2\/9, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + 0 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b8 + 1b?\nAnswer: d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 5*x)*(-1537 + 1537 + 13*x)*(-5 + 6 + 7).\nAnswer: -520*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 1 = -14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 742*c\/13 + 5388\/13.\nAnswer: -2*(c - 6)*(13*c + 449)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 33 + 27 = -3*w, 2*x - w - 28 = 0. Calculate the lowest common multiple of x and 164.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.6 + 1.4. Let v = b + -7.3. Suppose 0*m - 6*m - 6 = 0. What is the closest to m in 2\/5, 1\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4092, 15546, 34350, 60504?\nAnswer: 94008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and (21\/12)\/(-2 - (-147)\/72)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -99*r**3 + 121. Let t(l) = -l**3 + 1. Calculate 242*t(j) - 2*x(j).\nAnswer: -44*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 + -5.99. Let f = -0.08 + v. Sort -1\/3, 2, f in ascending order.\nAnswer: f, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(98)*-2 + sqrt(98) + 3 + 3 + (4*(2 + sqrt(98)) - (2 + sqrt(98)*2)))*-2)**2.\nAnswer: 560*sqrt(2) + 792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 46. Let w(a) = a + 1. Let j(c) = c**2 - 6*c - 6. Let g(i) = -j(i) - 5*w(i). Let d(q) = 7*q**2 - 4*q - 3. What is k*g(b) + d(b)?\nAnswer: 3*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.003 - 0.07007616473.\nAnswer: -0.06707616473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -37831.562 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/x)\/x**(-6\/5)*x**0\/x**(1\/5) assuming x is positive.\nAnswer: x**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -132 - 132. Suppose 67 = 5*v + p. Let b = -6 + 9. Solve b*x + v = -6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*z - 246 + 802 + 1694 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 7 - 1 = t, -2*t = -d - 5. Solve n + 0*n + 2*a = 3, -d*a = n - 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-10) + 0 + 8424\/20. Let j = y - 251. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**4\/4 + 4*p**3\/3 - 6*p**2. Let b(q) be the second derivative of q**3\/6 + q**2\/2 + q. What is a(l) - 8*b(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 71870016?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -57*g**2 + 13*g + 19. Let n(b) = b**2 - 3*b + 2. Calculate i(v) + 5*n(v).\nAnswer: -52*v**2 - 2*v + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408, -83, -542, -945, -1268, -1487, -1578, -1517?\nAnswer: -1280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 36.4537us?\nAnswer: 0.0000364537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43 or -9342\/221?\nAnswer: -9342\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1712*h = 210135 + 19273 for h.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {f: 4, c: 2, l: 6}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -153?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -88*j**2. Let z(f) = -2*f - 202. Determine z(x(p)).\nAnswer: 176*p**2 - 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 + 0*g + 0*g)*(-g - 3*g + 5*g) - 8 - 21*g + 2*g**3 + 21*g - 1 + 1 - 4*g**3 to the form d + t*g**2 + x*g + n*g**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -23959 take away 0.03183946?\nAnswer: -23959.03183946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/340 and -103\/2720?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c**3 - 8*c**2 + c**2 + 6*c**3 to the form x*c**2 + w*c + z + f*c**3 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * 13.\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}