diff --git "a/data/dm_maths/full_data/10833_11255.jsonl" "b/data/dm_maths/full_data/10833_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10833_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Sort 1\/8, -0.3, 0.5, -13, -1 in increasing order.\nAnswer: -13, -1, -0.3, 1\/8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 873.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -57aa - 1d?\nAnswer: -57c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -60*4\/(-6)*552\/(-368)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 6:09 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -729176 + 2026380128\/2779. Let v = b + 1353651\/611380. Let i = 3\/110 + v. What is the common denominator of i and -67\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a + 10 = 11*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3857 + 3872. Suppose u + 0*n - 48 = 3*n, 3*u = -4*n + 196. What is the greatest common factor of u and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -12800*x + 268811. Give j(21).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**6\/15 + 37*j**5\/20 + 9*j**4\/2 - 3*j + 13. Find the third derivative of m(l) wrt l.\nAnswer: 48*l + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -936\/5027 + 2\/457. Let i(y) = -2*y + 10. Let v be i(5). Which is the nearest to v? (a) -3 (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2674314, -10697263, -24068856, -42789099, -66857998?\n\"Answer: -s**3 - 2674316*s**2 + 6*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -36488+0.066\nAnswer: -36487.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -24954+-5773849194\nAnswer: -5773874148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 34\/(-14) - 776\/(-194). Determine v, given that -8\/7*v - 5\/7*v**2 + k = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 70, 20, -40, -116, -214, -340?\n\"Answer: -r**3 + r**2 - 46*r + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145456851582*u**2 - 288*u**3 + 145456851582*u**2.\nAnswer: -288*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1. Let a(j) = 4*j**2 + 8*j + 1. Let h(s) = a(s) - 2*q(s). Let m(x) = x**2 + x. Give -h(o) + 6*m(o).\nAnswer: 2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*(3*32\/(-6) + 2) is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*i - 0 + 1, 3*n + 3*i = 15. Let v(l) be the third derivative of -l**5\/30 + l**4\/12 + l**3\/3 - 2*l**2. Give v(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19\/13, 73, -1\/10, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.497 - -0.163. Let d = -1.56 + j. Which is the nearest to d? (a) 9 (b) 2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117253180.8ns to weeks.\nAnswer: 0.000000193871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -121*l**5\/3 + 21758*l**4\/3 - 287915*l**3\/3 - 1326950*l**2\/3 + 1020500*l - 495000 = 0. What is l?\nAnswer: -5, 10\/11, 18, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 273, 440, 627, 840, 1085, 1368, 1695?\nAnswer: 2072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/3 - 10\/15. Suppose k = 2*k + 4. Which is the second biggest value? (a) n (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 38. Let c = -190 + 86. Let q = -54 - c. Calculate the remainder when q is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148711 (base 12) to base 10\nAnswer: 346621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -554 from 1672.228.\nAnswer: 2226.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32860903 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:05 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 3, y: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (5 + -12 - -4) + 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1074792 and -58\/219201.\nAnswer: 33318552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 2\/35627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 7:38 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-84)\/8))\/(8918\/(-3087)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 9*u**2 + 3*u + 11. Calculate q(4).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1359387 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 359364, 359402, 359460, 359544, 359660, 359814, 360012?\nAnswer: 360260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*h - 261*h = 218330. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10377 by 50687.\nAnswer: -10377\/50687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3738*n*p**3 - 760*n*p - 302*n + 27021 wrt p.\nAnswer: 11214*n*p**2 - 760*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.08 (b) -0.04 (c) -0.1 (d) -12 (e) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 2.4, 4\/8415 in decreasing order.\nAnswer: 2.4, 1\/5, 4\/8415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*m**4 + 24*m**4 - 23*m**4)*(0*m + 0*m - 4*m + (2 + 0 - 3)*(2*m - 2*m + 2*m)).\nAnswer: -378*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - t. Suppose -f + 4*i + 17 = 0, i + 3*i + 16 = 0. Let z(w) = -4*w - 1. Let p(r) = f*z(r) - 4*s(r). What is the derivative of p(q) wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 7*z + 4*z**3 - z**4 - 2*z**3 + 5 to i + x*z**4 + a*z**3 + d*z + n*z**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/16)\/((-17)\/(-442))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*i + i + 2*l, 2*i - 5*l = 6. Suppose -2*n = -n - 3. Suppose i*b + 0 = 5*d + 41, n*b + 5*d - 1 = 0. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011101011110 - 11101?\nAnswer: -101011101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151147.\nAnswer: 17, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(2299)) + ((sqrt(2299) - 2*sqrt(2299) - sqrt(2299))*-2)**2)*1.\nAnswer: -33*sqrt(19) + 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 592611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*x + 62, 3*x = -5*o + 7*x + 79. Suppose -3*m - 2*z = -17, -3*m + 2*z - 3 = -z. What is the lowest common multiple of m and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 3*s - 21, 5*u = 2*s + u - 22 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j. Let q(i) = 6 - 1 - 7 + 6*i - 5*i - 8*i. What is q(h(v))?\nAnswer: 14*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -14*k - 34. Let z(x) = 5*x + 12. Let d(g) = -6*u(g) - 17*z(g). Let y(p) = p**2 - 5. What is d(y(c))?\nAnswer: -c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 6\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 45. What is f(-50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 1791*b = -1796*b - 40, 30 = 3*w + 5*b for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -2*sqrt(704))*1)**2.\nAnswer: 96*sqrt(11) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2465 or -14783\/6?\nAnswer: -14783\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -438 + 639. Suppose 0 = f - 4. Suppose -o = -f*o + v. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 + 138. Let t(d) = 6 - c*d - 1 + 4 - 10. What is t(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4\/2 - 16*m**3\/3 + 7*m**2\/3 + 16*m\/3 - 11\/6 = 0.\nAnswer: -11, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 12:47 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-525)\/140)\/(126\/(-24))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15817 - 15801. Solve -n*f = -74 - 38 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 5 - 10. Suppose -5*w + 190999980 = -5*i, 0*i - r*w = -2*i - 76399980. What is i rounded to the nearest one million?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 47*t**2. Let x(d) be the second derivative of -13*d**3\/6 - 2*d + 218. What is x(v(k))?\nAnswer: -611*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 450509 to the power of 1\/2, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 2*q**2 - 55*q - 3. Let v(a) = 2*a**3 + 2*a**2 + 54*a + 4. What is -3*n(x) - 2*v(x)?\nAnswer: -x**3 + 2*x**2 + 57*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 8*c + 0*c**2 - 14*c + 1 - 7 - 5*c**2. Determine u(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 8*u**3\/3 - 1133. Let n(b) = -3*b + 20. What is n(l(m))?\nAnswer: -24*m**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*y = 0, 0 = -w - 4*w - y + 6. Suppose -3*g - w*m = -39, 3*m + 0*m = g - 2. Let j = 42 + -22. Calculate the remainder when j is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 66, -5, 1, -7 in decreasing order.\nAnswer: 66, 1, -3, -5, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 5*d + 17. Let f be c(-7). Suppose 3*y - 18 = -3*t, -f = -2*t + 3*y - 14. Calculate the greatest common factor of t and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -0.15 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2665 divided by -2?\nAnswer: 2665\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 102*p - 8. Suppose 30 = 3*j + 24. Let k be q(j). Suppose 256 = -6*x + 11*x + f, 3*f = -4*x + k. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91 + 55. Let w = 54 + p. Let o = w + -17. What is the third biggest value in 1\/2, 4, o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 5. What is w(15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**3\/9 + 2*u**2\/3 - u - 31. Suppose v(d) = 0. Calculate d.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m + 1. Let p(q) = 6*q + 14. Let r(n) = -i(n) - p(n). Let b(y) = -y + 8. Determine -9*b(u) - 4*r(u).\nAnswer: u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 5:53 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 2:20 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-42))\/(20\/5)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -12 (c) -101 (d) 159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3295610, -3295607, -3295604, -3295601, -3295598, -3295595?\nAnswer: -3295592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + 2 + 5 + (sqrt(180) - -5*(-2 + sqrt(180))) - ((-2*(sqrt(180) + sqrt(180)*-2) - sqrt(180)) + sqrt(180) + 1 + -5 + sqrt(180))**2.\nAnswer: -1639 + 186*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x. Let j be (3 - 3) + 0 + x. Suppose j = -n + 5 - 3. Calculate the remainder when n is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skltpphht. Give prob of picking 1 p and 1 l.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (3 - 0 - (22 - (30 - 2))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 6*a - 16377. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - p + 1. Let t(r) = -6*r**3 + r**2 - 4*r + 1. Let c(i) = 5*j(i) - t(i). Let u be c(0). Suppose -n = -0*n - u. Solve n*a + 1 = -7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1 - -10) + (-85 - -49).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -51*b - 8. Let x be k(6). Let c = x + 711. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159*c**2*y**3 - c**2*y**2 + 149*c*y**3 - 3*c*y + c + 2*y**3 wrt c?\nAnswer: 318*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 636 + -636.07. Which is the closest to 3\/2? (a) n (b) 2\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 0*a + 2*a, -6 = -2*a. Sort 0, s, -2, 4 in decreasing order.\nAnswer: 4, s, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 58, 110, 160, 208?\n\"Answer: -j**2 + 55*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 6 = -7*l, 4*m - l = 394. Let t(g) = -2*g**3 + 12*g - 5*g**2 - 2 + g**3 - 3*g. Let i be t(-7). Calculate the highest common divisor of i and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 10*i**2 - i**2 - 3*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11807 is divided by 11717.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (43 - 13 + 26)*(32*r**3 - 4*r**3 + 11*r**3) in the form d*r + b + y*r**2 + g*r**3 and give g.\nAnswer: 2184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:10 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5)*m)**43\/(m**(-1\/8)\/m*m*m*m**6))\/(((m**(-1)*m)\/m)\/(m*m**6)*(m\/m**(3\/7))\/m*(m**(-3\/5)\/m)\/m) assuming m is positive.\nAnswer: m**(8387\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 1:35 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/8))**(-39)*((p\/(p\/(p*p**13)))\/p)\/p**8 assuming p is positive.\nAnswer: p**(-77\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 9 - 0) + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -24 - 1\/2*m**2 - m**3 - 1\/4*m**4 + 3\/5*m**5 + 0*m + 1\/3*m**6. Factor f(p).\nAnswer: p*(p - 1)*(p + 1)**2*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 23*d**3 - 31*d**2 + 21*d + 2. Let k(m) = 12*m**3 - 16*m**2 + 12*m + 1. What is -7*k(p) + 4*u(p)?\nAnswer: 8*p**3 - 12*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 42 = x, x = -4*v + 2*v + 23. Suppose 14*r + v - 55 = 0. Calculate the remainder when 9 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2448)*1 - sqrt(187)\/(2*sqrt(11)))**2 - (((-5*sqrt(187) - sqrt(187)) + sqrt(187))\/sqrt(11) + sqrt(1088)*-3)**2.\nAnswer: -48179\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*j - 900 = -281*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/56)\/(4*2\/320)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 935789 - 935789 - 1137*o.\nAnswer: -1137*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x + 6. Let u(t) = 6*t + 9. Let i(y) = 8*r(y) - 5*u(y). Let l(s) = 17*s**2 + 0*s**3 - 12 - 9 + 19 - 2*s**3 + 9*s. Let g be l(9). What is i(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*sqrt(119)*2*-6)\/(sqrt(42)\/(sqrt(6) - (sqrt(6) + sqrt(24)\/sqrt(4))) - sqrt(28)*3).\nAnswer: 192*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + 17. Let l = -33 + d. Calculate the lowest common multiple of -2*((-4 - l) + -2) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13321200 + 1?\nAnswer: -13321133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68511 is divided by 66777?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(18\/(-27) + 1\/(-3)). Suppose 13 - 273 = -i*o. Suppose -t = -2*t + 2*n + o, 4*t - 4*n - 272 = 0. Is t a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-24)*-10*18\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -78\/11 (b) -348 (c) 4\/5 (d) 3 (e) 0.2 (f) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298198, -596362, -894532, -1192708, -1490890, -1789078?\nAnswer: -2087272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 0*o + 3*o)*(-16*o**3 - 141 + 141).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10212101 + -1201222?\nAnswer: -12121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -12.5 and -291.1.\nAnswer: -303.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.47 - 0.03. Let l = 159 - 167. Let c = l - i. What is the second biggest value in 5, c, 0.11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aagaaagggaaaaaagaa. Give prob of picking 1 g and 2 a.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -2, 1\/4, -11 in increasing order.\nAnswer: -11, -2, 1\/12, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m**2 + 4*m - 3. Let w = 1 - 6. Let s be 1\/w - 64\/(-20). Is 16 a factor of o(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5 + 16. Suppose 0 = h - 3*i + 14, i - 1 = 5*h + 27. Let p = z - h. Is -2 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128\/19 - -564\/95. Let a = -1879\/11 + 171. Sort a, 4, -62, f in decreasing order.\nAnswer: 4, a, f, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, -13, 2\/7, 2\/3, -3362.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71526531, 71526528, 71526525, 71526522, 71526519?\nAnswer: 71526516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/40660 and 21\/17120.\nAnswer: 325280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0065261 and 169961.5.\nAnswer: 169961.5065261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*l**3*x**3 - 2*l**3*x**2 + l**3 - l - 88*x wrt x?\nAnswer: -186*l**3*x - 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -n + 3*f, 3*n + f - 3*f - 2 = 0. Suppose -5*u + 26*o - 21*o + 945 = 0, n*u = 3*o + 758. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 283 - 47 = 0. Let o = 163 + s. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/196754235 or 1?\nAnswer: -4\/196754235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 189883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1270 + -2474. Let p be 0 - (-2)\/8 - (-129)\/z. Let r = -0.2 - 0. Which is the closest to p? (a) 0.1 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, r: 8, u: 2, i: 5}. Give prob of picking 1 i, 1 r, and 1 u.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*342176.2.\nAnswer: 342176.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*a - 2*b + 2, 5*a = -2*b. Let j = -4 - 1. Sort a, -0.5, j in descending order.\nAnswer: -0.5, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -362 + -21?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 76025.49 minutes in seconds?\nAnswer: 4561529.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 326 = m. Let i = m + 475. List the prime factors of i.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-1 + (-2 - -4). Suppose -3*i - 5*l = 42, -4*i + 19*l - 61 = 24*l. Put -2, 4, v, i in decreasing order.\nAnswer: 4, v, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147739 + 425813\nAnswer: 573552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (28 - 2 - 13) - 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -375 + 344. Which is smaller: x or 8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*b + 120 + 54 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001785159051 to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 2*p + p)*(p**3 - p**2 + 5699*p - 12*p**3 - 5697*p).\nAnswer: 11*p**4 + p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72193.0009 - 72204. Let d = -11 - a. Round d to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*a + 18 = -362*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1388987 to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 671 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a - 4, 3*a + 38 = -g. Let d = 2 - g. Suppose -16 + 2 = -5*m + 3*v, -5*m = 4*v - d. Solve -2*p + m = -5*k, p - k = 2 - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177733372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 588 and 585660?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 - -52. Let q = -11 - l. Let v be (-1204)\/(-49) + 2 + (-3)\/(-7). Calculate the highest common factor of v and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -19091 (c) 1 (d) -0.3 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80 + (-25515)\/(-324))*56.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*o + 1504, 468 + 1048 = -4*d + 2*o. Let w = d - -379. Let v be 5\/(-10) + (-14)\/(-12). Which is the nearest to 0.7? (a) 3 (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -10*g + 10. Let t(w) = 2*w - 2. What is 3*p(a) + 16*t(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 14. Give l(-41).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68549 - 68546. Suppose 2*x - 5*x + 3*m + 24 = 0, -4*m = 4*x - 24. Solve -x = 4*n + p, l*n - 8 = -n - 4*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0503 - 150041?\nAnswer: -150041.0503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 35*l - 98. Let z be b(3). Let r(a) = -2*a**2 + 13*a + 7. Calculate r(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**7\/1260 - 13*g**4\/24 - 9*g**2. Let x(z) be the second derivative of r(z). Let c(u) = 21*u. Give c(x(a)).\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 927 and 675?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 127 and 0.2.\nAnswer: 127.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/42)\/(-5)*(-7)\/(-6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 1053.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/25))\/u**8)\/(u**(-2\/7))**(2\/69) assuming u is positive.\nAnswer: u**(-85391\/12075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 18. Is 5 a factor of j + 28 + -3 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029209545 to four decimal places.\nAnswer: 0.0292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 95570.01?\nAnswer: 9557.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*1*(-14)\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -8. Let t = 0 + q. What is the units digit of 1 - (6\/3 + t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 305?\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - k**2 + 2. Let c be g(1). What are the prime factors of (-474)\/(-10) - c - 57\/(-95)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -12.4\nAnswer: -0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15*(-3)\/(-18)*-2. What are the prime factors of (9 + -1)*(-3 - c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874151303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(2\/7)\/l)\/l))**(-1\/39)\/(l**(2\/7)*l**(-7)) assuming l is positive.\nAnswer: l**(1814\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 61360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004011 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(17) + 4 - ((sqrt(17) - 5*sqrt(17)) + 1))**2.\nAnswer: -6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -110122020121?\nAnswer: -110122020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 11}. What is prob of picking 2 i?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10*((3 - 3) + -1). Solve 2*f + w = -0*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*(sqrt(77) + sqrt(77)*-2) + sqrt(77) - sqrt(77) - sqrt(77))\/(sqrt(11) - sqrt(88)\/sqrt(800)).\nAnswer: -40*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/(l*l**(1\/12)))*l*l**(2\/5))\/(l**(-3)\/(l\/l**(2\/17))))**(5\/9))**(-4\/27) assuming l is positive.\nAnswer: l**(-5473\/12393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -856, -4 in decreasing order.\nAnswer: 3, 2, -4, -856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72461 and -0.4.\nAnswer: 28984.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-73)\/(-1) + -25*3\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**4\/54 - 10*z**3\/27 + 16*z**2\/9 + 35*z + 3. Let c(b) = 0. Calculate b.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4532528023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -1006046\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*p*s**3*x**2 + p*s**3*x - 8*p*s + 8*s**3*x**2 + 2*s**3*x + 9*s**3 wrt p?\nAnswer: -6*s**3*x**2 + s**3*x - 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -89, -118, -41, 196, 647, 1366, 2407?\n\"Answer: 9*b**3 - b**2 - 89*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-39)*0\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36321 - 36316 = 3*j - 5*v, 3 = -j + 4*v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1272194 + 977044843\/768. What is the common denominator of c and -85\/96?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/9 - 97916*i**2\/3 - 195826*i - 293736.\nAnswer: -2*(i + 3)**2*(i + 146868)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 + 19 - 12)*(5*f - 2*f - f) - 188 + 188 + 58*f)*(1 - 2*f**4 - 1) + f**4 - f**4 + f**5.\nAnswer: -171*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (26\/(-6) + 4). Which is bigger: r or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 3. Let l be o(-8). Suppose -33 + 3 = -l*x. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 197253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -51*t**2 - 3*t + 2. Give m(1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 - 114. Let b(s) = s**2 + 2*s + 7. Let g be b(-2). Is g > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -40, -79, -138, -223, -340, -495, -694?\nAnswer: -943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 10:21 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -62*o**3 + 82*o**2 + 2*o. Let b(p) = 63*p**3 - 82*p**2 - 3*p. Let l(z) = 2*b(z) + 3*k(z). Find the third derivative of l(c) wrt c.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -265 - -286. Suppose -3*w + 108 = 3*p + 2*p, -2*w + 4*p = -72. What is the remainder when w is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01019 and 1430.\nAnswer: 14.5717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - 59. Let a(y) be the second derivative of y**5\/20 + y**4\/3 - y**3\/2 + y**2\/2 + y. What is the remainder when 38 is divided by a(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.7 + 0.3. Let u = 187.052 + -0.052. Let r = u - 187.2. Put m, r, 3\/4, 0.08 in increasing order.\nAnswer: r, 0.08, 3\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11143008*q**3 + 2*q**2 - 3*q + 94155924 with respect to q.\nAnswer: -33429024*q**2 + 4*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -39. Suppose -q = 2*f - 56, 3*q + 163 = t*q + f. Let x be (-2)\/5 - (-192)\/30. What is the highest common divisor of x and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 - 1590. Is j smaller than -1673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/67 (b) -26 (c) 2\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*a + 7904 - 7989 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(3)*3 - sqrt(24)*-1*-2)\/(-6*sqrt(16)\/sqrt(2)*3*-2).\nAnswer: sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-99) - (-86)\/44*4. Suppose 7*d - 5*n = 8*d - 13, -n + g = 2*d. What is the second derivative of -1986*l + 1993*l + 15*l**d - l**3 wrt l?\nAnswer: 84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -13 (c) -2 (d) -3\/4 (e) -5.68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, s: 6, p: 3, n: 2}. What is prob of sequence nss?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -433.5 + 434. Let n be (-2 - 13\/2)\/4. Let p = 2 + n. Which is the third biggest value? (a) p (b) 1 (c) 2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -186.4 - -156. Let v = -30 - a. What is the nearest to -2\/5 in 0.3, v, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*g**2 - 19*g**2 - 39*g**2)*(-2*g + 2*g + g) + 7 - 7 - 3*g**3 + (4*g**3 + 0*g**3 - 5*g**3)*(1 - 3 + 3) + (-3*g**3 + 3*g**3 + 2*g**3)*(4 - 2 + 3).\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 8*y**2 - 9*y - 9. Let h be t(-7). What is the second derivative of -2*u - 2*u - u**4 + 2*u + h*u**4 wrt u?\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44*i**3*z - 25*i**2*z + 6*i*z + 4*z + 59403 wrt i.\nAnswer: -132*i**2*z - 50*i*z + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1673*r = -229*r + 7608. Let y = 2 + 0. Let a = y - 4. What is the biggest value in r, a, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/((-29)\/(638\/(-22)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 120015. Let m be a(0). Suppose 3*d - 4*i = -130479 - 229501, -d = 3*i + m. What is d rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.836 minus 1589755327?\nAnswer: -1589755334.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 4, 1\/7, -82?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by -65\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2891712497?\nAnswer: 3673, 787289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 83 = 71, -7103 = -2*q - 3*j. Does 47 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + j - 5, 20 = 3*t + 4*j - 0*j. Let x = 4 - t. Let 4 + 2*f**2 - f + 5*f + x*f + 4 = 0. What is f?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -143, -216?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3265046520 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772536199.\nAnswer: 211, 911, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*t**3 + 0*t**3 - 5*t**3.\nAnswer: -63*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qeey when four letters picked without replacement from {y: 4, q: 3, l: 8, e: 2}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-8) + 14\/(-4))*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -21*s**2 - 112. Let r(o) = 2*o**2 + 10. Let v(y) = 5*q(y) + 56*r(y). Give v(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 234199255 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4)*10)\/((-3)\/(-3)). Is (-3856)\/d + (-21)\/105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 8:14 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 192450224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 32*k - 24. Let o be q(8). Suppose -6*w + o = -4*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 362 (b) 0.992 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011110010110101101111 (base 2) to base 13.\nAnswer: -8433a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(2 + s**5 - 2) - s**4 - 2*s**2 - 51 - 2*s**5 + 14628*s**3 - 14628*s**3.\nAnswer: -s**5 - s**4 - 2*s**2 - 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 40*a**2 + 12*a - 37. Is u(6) a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + -2*sqrt(17)*-1).\nAnswer: 4 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -32 (b) -6 (c) -22\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-20)\/(-5) + (-45)\/9. Let h(j) = -j**2 + 4*j + 1. Let u be h(2). What is the third biggest value in 0.9, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and 0.1.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -990 and 1?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/5*(-5 - 10\/(-6)). Let g = -1.271 - 0.729. Which is the biggest value? (a) 4 (b) -1\/4 (c) g (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 11*x + 2*x)*(37*x**2 - 19*x**2 + 35*x**2) - 1 - 3*x**3 + 1 to the form j*x + t*x**2 + g*x**3 + f and give g.\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 2*k + 3. Let a be w(-2). Let n(h) = 11*h + 22. Let g be n(-7). Let v = -58 - g. Is v < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42419 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 14*l**2 + 8*l - 4. Let k be (3 + -2)*1*-3. Let q(x) = 5*x**2 + 3*x - 1. Give k*b(s) + 8*q(s).\nAnswer: -2*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 684539124 to the power of 1\/3, to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -262, -4, 4 in decreasing order.\nAnswer: 4, -3, -4, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 536839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 6.5398, -131\/2 in decreasing order.\nAnswer: 6.5398, -2\/9, -131\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 7. Suppose -h = k*s - 10, s = -s + 2*h + 10. Solve 0 = -s*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42051 + 5?\nAnswer: -42042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3076 = 3*j, 4*j - 4*h = 2*j + 2044. Suppose -4*b = 2*m - 0*m - 6, 0 = 3*m + 5*b - 11. Suppose -2111 = -m*v + j. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6837.735 decades to millennia.\nAnswer: 68.37735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*o + 675 = -336*o. Calculate the least common multiple of o and 81.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -12) + -16 + 28 + -5 + 55 + 12?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30115105, -30115103, -30115101, -30115099, -30115097, -30115095?\nAnswer: -30115093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 less than -0.16172?\nAnswer: -63.16172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*c**3*y + 40175*c**3 - 19*c*y + 9*y - 2 wrt y.\nAnswer: -42*c**3 - 19*c + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35 - 4c792d?\nAnswer: -4c7963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.25 and -52.333.\nAnswer: -52.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 77*o**3 + 6*o**2 + 14*o. Let v(s) = -s**2 - 2*s. What is -c(y) - 6*v(y)?\nAnswer: -77*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-5)*f*f*f\/f**(1\/10)*f)**6)**(-3\/8) assuming f is positive.\nAnswer: f**(9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-10))\/((-2)\/10*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 4402920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2206.\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.53500807 - -0.535. What is o rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 15\/14 (c) 15\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/7 (b) 1678 (c) 3 (d) -3 (e) 0.03 (f) 57\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40309.5 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/10 - -2\/5. Factor -r*t**2 - 3\/2*t**3 - 1\/2*t - 1\/2*t**4 + 0.\nAnswer: -t*(t + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37153 - 34504 - 27375 + 130057)*(4*w - 3*w + 0*w + (-1 + 1 - 2*w)*(2 + 0 + 0) + 4 - w - 4 + 4 - 3 - 3 + 2*w) as s + y*w and give y.\nAnswer: -62050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 371\/2 - 185. Suppose 4*w + u = 6*u - 45, -2*w + 2*u - 20 = 0. Which is the fourth smallest value? (a) 5 (b) w (c) l (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113696 by -152.\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11312 or 3385?\nAnswer: 11312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let x(j) be the first derivative of 139*j**3\/3 + 10. Calculate f(x(q)).\nAnswer: 139*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 11, -2\/21, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 1\/3, -3\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5633281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4686.\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.5, 149, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/3? (a) -39 (b) 1 (c) 2.84 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.088 (c) -5 (d) -5\/4 (e) 46.1 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8673*h**3 - 6348*h + 36. Let k(d) = 2478*d**3 - 1813*d + 10. Let s(o) = 18*k(o) - 5*n(o). Find the second derivative of s(w) wrt w.\nAnswer: 7434*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*v + 2*n - 2, -n - 6 = 2*v. Let r = 8 + v. Suppose 3*k + 3 = 0, 5*c - 4*k = 51 + 3. Calculate the remainder when c is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -l - 3*i, -3*l + 10*i - 23 = 27 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -117, -229, -387, -597, -865?\nAnswer: -1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, y: 2}. What is prob of picking 1 y and 2 q?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1320*f - 15803 + 8805 - 22042 = 0 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -887\/3 + 291. Are -4 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, y: 2}. Give prob of sequence hyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - ((-11 - 37) + (-5 - -33))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.31 - 0.34. Is c at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 w, and 2 v when four letters picked without replacement from wvdvhvvt?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -347105*w**2 + w + 969051.\nAnswer: -694210*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 - 102.943. Let x = c - 0.05699861. What is x rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -21. Solve 0*h + 3*h - 4*b - 18 = 0, f*h = -5*b - 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, t: 1, d: 1, n: 2, c: 1, u: 1}. What is prob of sequence udct?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - -2)*(0 + 1). Suppose -32 = -p + o*p. Is p greater than or equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87693373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/3)\/((-1)\/12). Suppose 18*l + 26*l - 84 = 34*l - 4*l. Solve -5*k - j = -l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - 146\/(-36))*183\/(-122) and 33\/1400?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 113 + 3 + 20\/(-4). Calculate the greatest common factor of 74 and d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5569 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 30. Suppose -11 = 5*v - 1. What is the units digit of 5\/((-10)\/f) + v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3404.6 - 3405. Which is the biggest value? (a) -154 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5664894027?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 59. Let l be 90\/(-8) - (-21)\/n. Let t = -7 - l. Which is the second smallest value? (a) -5 (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*j = -2*o + 16, 5*o - j = 20. Suppose 3 = -a + 4*x, 2*x + 0 - 2 = 0. Calculate the highest common divisor of a and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -765053.76 - 87.\nAnswer: -765140.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/50 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 989480, 3957909, 8905290, 15831623, 24736908, 35621145?\nAnswer: 48484334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 4*q - 11, -9*n + 11*n - q + 14 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39378 - -72209. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415403641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 4*r**2 - 7*r - 4. What is the tens digit of y(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2 = -2*n. Suppose 2*m - 10*m - 48 = 0. Is 3*((-232)\/m + n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105907807 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (3\/2)\/((-137)\/(-2698078))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 8:08 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119*a*m**3 + 180*m**3 wrt a.\nAnswer: 119*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32963415 + -19463412. Suppose -19*i + 3*l = -14*i + a, 2*i = -3*l - 5399997. Round i to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -35*s**5\/4 - 49356*s**4 - 135329*s**3\/4 + 43716*s**2 + 33841*s + 5640 = 0.\nAnswer: -5640, -1, -2\/5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - (3 - (-11)\/(-3)). Let f be 465\/(-558) - (11\/(-6) - -1). What is the closest to f in z, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 1. Let r be i(0). Which is bigger: 8 or r?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110100211 (base 3) in base 9?\nAnswer: -1143324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 86*d - 9. Let j be w(4). Suppose 5*n = 3*i - 1706, 2*n - 5*i + j = -355. Round n to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111611 (base 8) to base 12\nAnswer: 19a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37497 and 30798?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 1501*t - 25210. Determine q(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 848301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0131*11.\nAnswer: 0.1441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - 1 - 0 - (6 - (4 - 3))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 1. Let m be i(-4). Let v be m\/6 + (-69)\/(-6). Suppose 4*o + 12 = p - v, 0 = -5*p + 4*o + 35. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxxg when four letters picked without replacement from {g: 5, x: 4, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n**2 + n - 1. Let a be z(1). Suppose -5*k + 25 = 0, -5*k + 31 = 2*w - a. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 v when four letters picked without replacement from {v: 5, k: 2, h: 8}.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10230221 (base 5) to base 14\nAnswer: 23651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u**3 + 194*u**2 + 385*u + 188. Let g(m) = 25*m**3 + 582*m**2 + 1155*m + 565. Let a(o) = -4*g(o) + 11*q(o). Find x such that a(x) = 0.\nAnswer: -192, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:08 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g + 0*g + 3*g)*(-27 + 20*g + 27) + (-g + 4 - 4)*(-1 + 1 - g) + 19*g**2 + 6*g**2 - 4*g**2 in the form m*g**2 + b*g + t and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -295.\nAnswer: 9\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2561.585 - 0.18.\nAnswer: 2561.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -16, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(12)\/sqrt(4)) + 1.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**2*c**3 + 4*a**2*c**2*f**2 + a**2*c*l**3 - 18*a*c**2*f*l**3 - 121*c**3*f**2*l - c**3*f*l**3 - 2*c*f**2*l**3 + c*f*l**3 wrt c?\nAnswer: 6*a**2 - 726*f**2*l - 6*f*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + sqrt(300) + (sqrt(300) - 1*(sqrt(300) + -2)) - ((sqrt(300) + 1 + sqrt(300))*3 - (sqrt(300) + 2 + -5)))**2.\nAnswer: 400*sqrt(3) + 4825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 13 = 3*o, 2*o - o - 9 = -2*l. Suppose 0 = o*b - w - 8 - 5, -4*b - 5*w - 7 = 0. What is the second derivative of 2*s + s**2 - s**b - s**2 wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 4*h - 55 + 24.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1613 + 3213 - 1603 - 9*h**2 - 37*h**2 + h to the form y*h + b*h**2 + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.6 + -26.6. What is the biggest value in 1\/2, y, -1\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + -5.2. Let o = -1123 - -1127. What is the closest to -2\/7 in j, o, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*163028.\nAnswer: -130422.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-9)*3 - 0. Let j = -3.31 - -3.21. Which is the nearest to j? (a) u (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28057, 56117, 84177?\n\"Answer: 28060*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5\/2 - 414232*p**4 - 57198811427*p**3\/2 - 190649679655*p**2 - 371758860114*p - 171579865284 = 0. Calculate p.\nAnswer: -138074, -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(35\/(-21)*290\/9425)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*x - 0. Let f be (-2)\/9 - (-56)\/9. Solve -f = -x*k + k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 28*n + 115. Calculate p(18).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -3*y**6\/5 - 4*y**5\/3 - 3*y**2 - 1. What is the third derivative of u(j) wrt j?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -10*m - 138. Let l be j(-21). Let k be (2\/(-3))\/((-2)\/6). Suppose c = -5*z + 18, c - 14 = -k*c + 5*z. What is the greatest common divisor of c and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (120\/(-54) - -4) + (-2)\/(-9). Suppose 2*d = -4*c + 3636, 4*c - i*c - 4*d = 1838. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (206 - 130) + (-3 + 0 - 25)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 37?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-1 + -5 + 21)) + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122.90994829 + 122.91. What is j rounded to six dps?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6541\/3 + -2180. Which is the closest to -41? (a) z (b) 31 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -4 (c) 155 (d) 16 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -475.\nAnswer: 142.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -5*z + c, -2*z + 1994*c + 41 = 1999*c for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92070.\nAnswer: 2, 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*u + 8. Let g(q) = -737*q**2 + 383*q**2 - q + 394*q**2. What is the units digit of g(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 229 = 35. Calculate the greatest common factor of 804 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = u - 2*c + 1, u + c - 2 = 0. Let l be 6*-30*(-2)\/u. Let b = 1798\/25 - l. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 9158, 9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.768 + 0.378. Round j to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/141, -5, -0.2, 2.\nAnswer: -5, -4, -0.2, -2\/141, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -10*a**2 - 27*a - 9. Let x(g) = -3*g - 1. Let l = -499 + 481. Let d(n) = l*x(n) + 2*u(n). Determine d(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.7954 + 2.7954. Sort 0.1, y, 2.5, 5, 0 in decreasing order.\nAnswer: 5, 2.5, 0.1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1225.4314 to the nearest integer.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 12:21 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1 + 3. Let 2*x**5 - 11*x**z - 2*x**3 + 22*x**2 + 2*x**4 - 13*x**2 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(432)*-4)*5)**2 + (4*(sqrt(432) + 2 + sqrt(432) + sqrt(432)) - 3*sqrt(432)*1).\nAnswer: 60108*sqrt(3) + 4320633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163 by 163.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1027 + -1027.04. What is the second smallest value in i, 7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyie when four letters picked without replacement from {i: 4, y: 5, e: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 4475d82?\nAnswer: -4475d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*u**2 + 50*u**2 - 19*u**2 + 1 - 21*u**2 - 2*u**3 to s + t*u**2 + a*u + f*u**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-483)\/(-2093))\/(5\/(-10)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1841 or -1838?\nAnswer: -1841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/42 - 17\/98. Let c = -1\/147 - n. What is the nearest to -2\/5 in c, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.379 + -0.459. Let o = t + 4.08. What is the fourth biggest value in o, 1\/4, -5\/6, -2\/17?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 64.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 27*n**2 - 3857*n + 30848. What is t(8)?\nAnswer: 1720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.83 (b) -14524 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3399 is divided by 769.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**2 + 123*y**5 - 4*y**3 + 7*y**3 - 36*y + 8*y - y**3 + 79*y**5 wrt y?\nAnswer: 12120*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2136 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5\/(10\/802) - -2 is divided by 47*38\/22 - (-8)\/(-44).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 147a98?\nAnswer: 147a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a - 3. Calculate the remainder when 2\/6*(-15)\/(-1) is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 126, 351, 656, 1041?\n\"Answer: 40*z**2 + 105*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 638603587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - 46. Suppose -50 = -5*q - 5*v, 4*q - 49 = -3*v - 7. Let p be -12*((-22)\/q + 2\/6). Solve -s + 1 = 3*f - p, -n = -5*f - 5*s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/15*5\/2. Suppose 7*z + i = 3*z. Let h(x) = -6*x + 2. Let o be h(z). Solve -3*g - 1 = o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367, -1478, -3331, -5926, -9263, -13342, -18163?\nAnswer: -23726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -44*i**2 - 8*i. Let r(w) = -131*w**2 - 23*w. What is 17*j(f) - 6*r(f)?\nAnswer: 38*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 3, b: 9}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t**3 - 8*t**2 - 9*t + 25. Let k(x) = 23*x**3 + 16*x**2 + 17*x - 51. Let a(l) = -2*k(l) - 5*y(l). What is a(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -914*x**3 - 832*x**3 - 429*x**3.\nAnswer: -2175*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2624518.03 to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 17684829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -12*p + 70629. Suppose 0 = 8*b + p - 25601. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 494 + -493. Which is the nearest to -0.2? (a) -4 (b) 3 (c) f (d) 21\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-952)\/544 - (-21)\/12. Which is greater: a or -10\/673?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 217*t = 6044 - 27144 for t.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32067, -64642, -97217, -129792, -162367?\nAnswer: -194942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123753588*t**4*v**2 - 51*t**2*v**2 + 6*t**2 - 7*v**2 - 680 wrt t.\nAnswer: 2970086112*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 - -94. Calculate the remainder when 1 - 0 - (-33 + 0) is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2349779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 0 + 19 = -3*g, 3*g + 35 = 10*d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.28 + 31. Let k = 3.720389 - w. Round k to five decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562895774.\nAnswer: 2, 7, 2711, 14831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -155675\nAnswer: -2\/155675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1620 and 840.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 10*x**2 - 6*x - 6*x**2 - 5*x**2. Suppose 5*z - 15 = 0, 4*z + 25 = -4*d + 3*z. Let b(k) = -k**2 - 7*k. Determine d*f(y) + 6*b(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230 + 1330323?\nAnswer: 1330033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23448 and 35172.\nAnswer: 70344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - -2 - (-487 + 504).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 639304.5 kilometers in millimeters?\nAnswer: 639304500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - -1) + 0\/(-5). Suppose -4*c + 52 = -l. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(50 - 50 - 12*r)*(3 - 4*r - 6 + 2).\nAnswer: 48*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1001*f - 11101 - 11922 = 0 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5229488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -37 + -1 + 43.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 23 (c) 1060\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 10:56 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 965*r**4 - 26*r**3 - 182334*r**2 wrt r.\nAnswer: 23160*r - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 3*n + 5. Let b be h(-4). Let z = 11 - b. Suppose 0*y + z*y = 4. Solve 2*t - 4*g = 24, -y*g - 5 = 4*t - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -745?\nAnswer: -4470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 500 and -7051?\nAnswer: -3525500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 12. Suppose 2*r - c = -3. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 5:12 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1262*0.0523.\nAnswer: 66.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19255 divided by -336?\nAnswer: -19255\/336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 223 = -5*p + 86, 385 = 5*t - 4*p. Let f = t + 77. Let m = -1424\/9 + f. What is the nearest to 0 in -3, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3894493067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1226 = 4*d, -5*d + 12*y - 16*y + 1532 = 0. Suppose w - 427 = d. Calculate the remainder when w is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49296 or 49291?\nAnswer: 49291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 2. Let c = -9 + 11. Let k be p(c). Let o(m) = -5*m + 3 - m + 5*m**2 - 4*m**2 + k*m. What is o(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 356 - -23ca81?\nAnswer: 240107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30362508 and 1584.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -6, 42, 4, 3, -205?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*r - 14, 5*r + 4 = -2*c - 2. Suppose 2*x - 9 = 4*q - 3, 3*x = q - 1. Put 1, -6, c, q in decreasing order.\nAnswer: c, 1, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96070898431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8056*j**2. Let a(v) = 1291*v**2 - 2. Calculate a(x(k)).\nAnswer: 83784784576*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 604406933*d**2 + 264110588*d wrt d?\nAnswer: 1208813866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 244 and 2968382.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1915 is divided by 62.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-64)\/546 - 0 - 0. Let w = -1\/39 + l. Which is the closest to -1? (a) -0.3 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 17 + 19 - 23 = -4*v + 4*z, z = 2 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.08 + 2.28. Sort 2, -26, a, -2 in ascending order.\nAnswer: -26, -2, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -12a84c?\nAnswer: -12a848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - f - 66 = 0, -14*n + 5*f - 30 = -19*n. Solve -n = 3*b, -473*u + b = -469*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*f + 9, 3*u - 3*f = -u + 9. Solve 0 = -u*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55558 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/23 or -65?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -330 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14221636 divided by -646438?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(-195)*1\/(2\/6). What is the closest to -3 in 0.069, i, -0.1, 4\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-8)\/10*-1 - 27024\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/25606 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 6682?\nAnswer: 2\/3341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1953690562?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 269 - 243. Suppose 24*j + 8 = b*j. Sort 9, j, 2, 3 in increasing order.\nAnswer: 2, 3, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7377350878 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**3 - 3*v**3 + 3*v**3)*(1 + 0 - 2) + (3 + 1 - 3)*(v**3 - 1 + 1) + 3*v**2 - 2*v**3 - 5*v**2 + v**3.\nAnswer: -5*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169584, -339306, -509028?\nAnswer: -678750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -24407, -3, -2 in decreasing order.\nAnswer: 8, 4, -2, -3, -24407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2 - 7010*c - 299581 = 0?\nAnswer: -6967, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -79 - -109787?\nAnswer: 109709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -4246 and -4264 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102.106 + 102. Let p = d + 0.056. Which is the third biggest value? (a) p (b) -2\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z + 4. Let j(l) = l - 1. Determine 4*j(s) + t(s).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -10. Let u be (14\/(-4))\/w + 0. What is the closest to u in -2\/11, 0, 0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/1471 - 4445\/23536. Which is the smallest value? (a) -0.06 (b) m (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 3. Let t(l) = -l**2 + 4. Let x = 7 + -8. Let n be x + (5 - (1 + -1)). Determine n*z(g) + 3*t(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 11. Suppose 4*u - 3*t = -z, 5*t = -2*u + 6*u + 7. Suppose u*l = -6*l + 5*l. Solve l = -3*n - 2*a + 2, -6 = -n + 5*a + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(588))\/sqrt(12))\/(sqrt(252)*6 + sqrt(7)) - (((sqrt(28) + 0)**2 - (sqrt(28) - sqrt(7))*5) + 0)*-2.\nAnswer: -367*sqrt(7)\/37 + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57339 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 957, 1990, 3167, 4560, 6241, 8282, 10755?\nAnswer: 13732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6524932427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211034 is divided by 1021.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 6 = 2*y + 2*a, -y = -3*a + 11. Suppose 3*n - 4 = 4*n. Let f be n\/(-14) + (-32)\/14. Sort f, y, -3 in descending order.\nAnswer: f, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/351*24\/(-20)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**5\/4 + 13*k**4\/2 - 25*k**3 + 993*k. Find the second derivative of p(c) wrt c.\nAnswer: -30*c + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from kzkkkkzkkkkzzkkzkk?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q, -15*o + 12*o = 2*q - 30. Solve 2*m = -4, -4*s - 7*m + 2*m = o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 3, -6, -3, -1, 4 in decreasing order.\nAnswer: 4, 3, -1, -3, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 + 141*d**2 + 1531*d - 537. What is r(80)?\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10302 - -10310. Calculate the least common multiple of 226 and a.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 12, 2*l + 2 = p - 0*p. Let q = p + 12. Is 16 a factor of ((-134)\/q)\/(2\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/335 and -43\/3.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1319*y + 723 + 9829 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 - 21*z + 4. Let m be u(7). Suppose -m*h - 3*l + 94 = -350, -2*l = h - 111. What is the greatest common factor of h and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m**2 - 5. Let p(o) = 3*o**2 - 2. Let f(x) = -2*i(x) + 5*p(x). Let y(r) = -12*r**2 + 28*r**2 - 14*r**2. Give y(f(l)).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/9 - 73*f**2\/3 - 7862*f\/9 + 5536\/3.\nAnswer: -(f - 2)*(f + 48)*(f + 173)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -11*v - 49, 2*v - 17 = 5*a - 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4350)\/(-175)*((-1)\/((-33)\/21))\/(60\/330)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116 - 140. Let x be 1*4\/c*3*-6. Solve -2*n = -5*h - 7, -5*h = -4*n + 6 + x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2*s**2 + 138930*m**2 - 122*m*s**2 + 2*m*s - 88*m wrt m?\nAnswer: -2*s**2 + 277860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 280025 = n, 2*n - 559975 = 4*n + 5*c. Round n to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3 - 7*g**2 - 16*g - 12 = 0. What is g?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941366 divided by -16314?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*h**5*t - 3*h**3*t - 119*h**3 + 46*h*t - 3*h - 2*t + 70 wrt h?\nAnswer: 620*h**3*t - 18*h*t - 714*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*(-3*sqrt(468) + sqrt(468) - sqrt(468))**2 - (sqrt(468) - (sqrt(468) + -4))*-5).\nAnswer: 25288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**7\/840 + x**6\/90 - x**5\/60 - x**4\/6 - x**3\/3 - 3. Let g(f) be the third derivative of c(f). Determine g(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3750 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -4 (c) 75\/7 (d) -1\/74287\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 5*d**2 + 2*d + 36. Let o be x(-6). Let k be (5 - (-68)\/o)\/(14\/6). Which is the nearest to 2\/5? (a) 2\/11 (b) -2\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 + 204*p**3 + 3246*p**2 - 7980*p - 11025.\nAnswer: 3*(p - 3)*(p + 1)*(p + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 6*c**2 - 2*c - 8. Let a = 7 - 13. Let y be s(a). Determine o, given that -y*o**3 - 4 + 6*o**3 + 10*o**2 - 2*o - 6*o**4 + 0 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1740622.\nAnswer: 2, 13, 66947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2, -0.07, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/2, -3, 2, 3\/103?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3139026.\nAnswer: 2, 3, 11, 199, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 0. Let k = -16 + i. Let r = -8.9 - k. Which is bigger: r or -0.03?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6*(1 + 0). Let y(w) = w**3 + 39*w**2 - 437*w - 249. Let v be y(-48). Sort -1, b, v in descending order.\nAnswer: b, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -5504\nAnswer: 71552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 83*j + 87*j - 894 = 0, -3*v - 2*j + 538 = 0. What is the remainder when v is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 - 91.93. Let g = u - 0.07. Which is the third smallest value? (a) 0 (b) -2\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - 5536071.149.\nAnswer: -5536112.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25003 is divided by 4995?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*q**2 + 8*q**2 - 15*q**2)*(2*q - 1 + 1) + (-5*q + 0*q - 5 + q**2 + 3*q)*(3*q - 3*q + q).\nAnswer: 87*q**3 - 2*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n*t*x**2 - n*t*x - 131*t*x**2 + x**2 with respect to n.\nAnswer: -2*t*x**2 - t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 3}. Give prob of picking 2 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157 - -226. What is the remainder when l is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8982804.31 rounded to the nearest 1000?\nAnswer: 8983000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-35)\/(-21))\/5*1*3 and 1110.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 914314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 24 = 6*i. What is the third derivative of 3*m**i + 65*m**2 - 2*m**3 - 45688*m**4 + 45686*m**4 wrt m?\nAnswer: -48*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 - a**5 + a**5 + (2*a**4 + 2 - 2)*(3*a - 2*a + 0*a) - 3*a**5 + 8*a**5 + 2*a**5 + 68*a**5 + 2142*a**3 - 2142*a**3.\nAnswer: 76*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/1 + (-2 - 1). Let d be (236\/(-531))\/((-2)\/18). Solve -h = -a*h + d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**3 + 1083*m**2 + 20223*m + 92097 = 0.\nAnswer: -9, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + r = 4*r - 23, 4*q + 5*r = 64. Let u be 1\/((-3)\/10 + 1\/(-5)). What is the units digit of (q - 4) + 0\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 + -3.05. Let f = -110 + 64. Let v = f - -46.4. Which is the closest to 3\/11? (a) v (b) r (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72364*g**3 - 2842*g**2 - 3*g + 1.\nAnswer: -434184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 7 - 43)*(-3 - 3 + 4)*(1 + 1 - 3)*(-5 - 6*g + 2*g**2 + 3 + 0) as x*g + q*g**2 + p and give p.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2171748643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/96 and 11\/26.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148204492*q**2*r**2 + 7*q*r**2 + q*r + 8386*q + 41*r**2 wrt q?\nAnswer: -296408984*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1131418 by 4.\nAnswer: 565709\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 10. Let l be r(11). Let k be (12\/l)\/2 + -1. Which is bigger: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*r - k, -3*k = r + k + 23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 6420*j - 25663. Give m(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/6*(-94)\/(-1). Let h = 105 + g. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 3*y**2 + 3*y**2 + 6*y - 6*y - 9*y**2 - 1 + 1 - y**2 - 3*y**2 + 2*y**2 - 2*y**2 + (-y - y + 3*y)*(-3 - 2*y + 3).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4095*r**2 + 3034*r wrt r.\nAnswer: -8190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -71, -87, -119, -173, -255, -371, -527?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/11 and 65\/387.\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*j + 651*j - 164*j + 29*j**2 - 6*j**2 - 140*j - 173*j.\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*x**2\/11 - 282*x\/11 + 296\/11.\nAnswer: -2*(x - 1)*(7*x + 148)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14935039 to the power of 1\/2, to the nearest integer?\nAnswer: 3865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 times -53523?\nAnswer: 13166658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 0*g**4 + 0*g**3 - 1\/20*g**5 - g + 3\/2*g**2 + 0. Differentiate v(s) with respect to s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010002051 to 5 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54319.66 centuries to months.\nAnswer: 65183592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219*((-75)\/(-60))\/(1\/4)?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 + -38 - 28 - 15.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - -5*(sqrt(117) - ((-1*sqrt(117) - sqrt(117)) + sqrt(117))))\/(sqrt(900)*-1).\nAnswer: -11*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-837*(-220)\/64790)\/(-9).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*f = -252*f + 740 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 2*b**2 - 12*b - 5. Calculate l(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145.7 + 146. Which is the closest to -1? (a) 0.1 (b) -2\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*-5*4\/(-210).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2319?\nAnswer: 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -55181, -110079, -164971, -219857?\n\"Answer: 3*u**2 - 54907*u - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 3:59 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -3 - 2 - -3 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*s**4 - 580*s**3 + 1470*s**2 - 740*s - 35 = 0. What is s?\nAnswer: -7, -1\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -136*s + 752. List the prime factors of c(-53).\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**7\/70 + d**4\/8 - d**2\/2 - 3. Let o(x) be the second derivative of k(x). What is the second derivative of o(i) wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-1 - -3)) + (1136 - 1114)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17550, -17511, -17440, -17337, -17202?\nAnswer: -17035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 38*z**2 - 22. Let a(l) = l**3 - 38*l**2 - l + 18. Give -6*a(q) - 5*x(q).\nAnswer: -q**3 + 38*q**2 + 6*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -105, -394, -649, -852, -985?\n\"Answer: 3*p**3 - p**2 - 307*p + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79728843.\nAnswer: 3, 607, 43783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 + 95. Let q be 0 + (1 - 0) - -3. Find the second derivative of 14*r**q - 23*r**4 + r - w*r - r wrt r.\nAnswer: -108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 43 - 627*o + 760*o in the form h + g*o and give g.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 673542*c**2 + 40401720*c.\nAnswer: 3*c*(c + 60)*(c + 224454)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*o = -2*y - 123, -y + 38 = -4*o. Let h = 84 + -56. Calculate the greatest common factor of h and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233311303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000101101 (base 2) in base 12?\nAnswer: -751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 - 61*r**2 - 253*r + 523. Let b be u(34). Let h(f) = -f**2 + f + 1. Let n(t) = -2*t**2 + 14*t + 2. Let y(x) = -h(x) + n(x). Give y(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -617830 to the nearest ten thousand.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 3*b + 52. Let n be k(5). Let y be 0*((-54)\/n + 4). Solve -7*h + 8*h - 2 = y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.163 - -1.477. Let a = 0.6 - 1.14. Let c = o + a. Round c to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 112*r**3 + 11*r - 4 + 1 - 107*r**3 + 7 - 3*r as a*r + g*r**3 + z + v*r**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uy when two letters picked without replacement from uukgguvuyukyvkyuyc?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 216*((-64)\/6 - -8). Suppose -2*j = 4*w - 5750, -3*j + 5 = 3*w - 4315. Let n = w + m. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 851437?\nAnswer: -851437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*d**4 + 49592*d**3 - 51352320*d**2\/7 + 34080768*d\/7 = 0. What is d?\nAnswer: 0, 2\/3, 2064\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 224516*i**3*o**2 - 14*i**3*o + i**3 + 28512678*i**2*o**2 wrt i?\nAnswer: 1347096*o**2 - 84*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5 = -4*i, -5*i + 4*l - 2*l = -35. Suppose 3 + 27 = i*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 18 + 0*x**4 + 0*x + 19\/5*x**5 + 17\/3*x**3 + 0*x**2. Find the third derivative of s(z) wrt z.\nAnswer: 456*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.7 + -7. Let g = v + -0.5. What is the biggest value in -0.3, -1\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588298187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 579, 1303, 2327, 3657, 5299?\nAnswer: 7259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7215949049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 819156080 to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -2) + -2 + 13. List the prime factors of (-80)\/(-25)*v\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 12369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 9*q**2 - 12*q + 20.\nAnswer: (q - 10)*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/669205 and -63\/2210.\nAnswer: 17399330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 - -28. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335582270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + 2738 + 2 - 3. Is (v*8\/128)\/((-2)\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 - 2*t**2 + 2*t**2 + (t**2 + 0*t**2 - 2*t**2)*(3*t**2 + t**2 - 2*t**2).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3.5. Let l = w + 0.5. Let o be 4\/(-10) - 19\/(-35). Which is the closest to -0.1? (a) -0.1 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -966 = -4*a - 2*a. What are the prime factors of a?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (-3 + 3) - 1550. Find the common denominator of (475\/(-125))\/((-6)\/10 + 0) and m\/(-36) - (-1)\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 3:59 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(27\/(-39)) + 1. Let l = -11 - -6. Let c = l + 3. Sort h, c, -2\/7 in increasing order.\nAnswer: c, h, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, e: 3, n: 2, u: 2, a: 4, k: 2}. Give prob of picking 1 u, 1 e, and 2 a.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**6\/120 + 2*s**5\/3 + 13*s**4\/8 + 5*s**3\/6 + 42*s**2. Let t be a(-39). Sort -3, t, 4\/3 in increasing order.\nAnswer: -3, 4\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 - 323*s\/2.\nAnswer: -s*(s + 323)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 0)\/(2 - 3). Let t be -2*(-61)\/14 + 46\/161. Let x = t - b. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i. Let m(p) = -27*p + 35*p - 45*p. Determine m(z(t)).\nAnswer: -37*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(5 - (-44)\/(-8)). Let q = 78 + -84. Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5057 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 67325718829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, f: 6}. What is prob of sequence mmff?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34, 58, 84, 112?\n\"Answer: m**2 + 21*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -699 (base 10) to base 6\nAnswer: -3123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -41\/20, 3, -60\/41?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (62*g + 10*g + 16*g + 10*g)*(3*g**2 - 2 + 2).\nAnswer: 294*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000100 (base 2) in base 14?\nAnswer: -1da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*s**3 + 5 + 367*s**3 - 5.\nAnswer: 186*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxexxxuexxxezzxze. Give prob of picking 2 u and 1 z.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 107627*z + 430468. What is c(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rprpp. What is prob of sequence prpr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**2 - h + 3. Let m(d) = -3*d**2 - 1. Determine -7*m(k) - 3*r(k).\nAnswer: 3*k**2 + 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a minute in seconds?\nAnswer: 2610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*c + 1359, -6*v + 2*c - 2256 = -v. Let n = v + 902. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*t**3 - 51*t**3 + 4*t**2 - 7*t**4 wrt t?\nAnswer: -168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142 - -144. What is the derivative of -4 + 217*c**2 + 14 - 135*c**v wrt c?\nAnswer: 164*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*k + 2, -2*k + 23 = 3*j + 20. Let h(u) = u**3 - u**2 - 3. Calculate h(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 15*a - 2379 = 0. Let s be -2 + 1\/5 + a\/(-65). Let c = -15 - s. Let p(m) = 13*m**3 - 2*m - 1. Calculate p(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*(14\/5 - 3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 572*i**3 - 3*i**2 + 97. Let t(x) = 1717*x**3 - 8*x**2 + 292. Let d(h) = 4*t(h) - 11*y(h). Find the third derivative of d(n) wrt n.\nAnswer: 3456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2745051 (base 8) to base 3\nAnswer: 1110020212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b105 + 7?\nAnswer: -b0cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13877 - 13905 - (29 - 1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11904 divided by -599.\nAnswer: -11904\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 8*u + 13. Let c = 270 + -267. Give n(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44840)\/6 + (-16)\/24. Let l be (-3)\/(-2) + n\/(-4). Suppose 5*h = 5*k + l, 2*h + 5*k - 1269 = -486. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2 - -3)*-4)\/(-1). Let l be g\/(-5) - 0\/(-2). Suppose -4*f + 4 = 3*d + 14, 3*f = 5*d + 7. Which is smaller: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -2*o**6\/3 + 24*o**4 + 256*o**3\/3 + 96*o**2 + 946. Suppose a(q) = 0. What is q?\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -447991 (base 13) to base 12.\nAnswer: -65b52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k + 11*k + 11*k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44379 is divided by 1201.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.614876 rounded to 0 dps?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/121544 and -13\/45579?\nAnswer: 364632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 p when three letters picked without replacement from {m: 3, g: 5, c: 1, a: 1, s: 1, p: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -36*t. Let q(d) = d. Let j be 4\/(5 - 64\/12). Let c(r) = j*q(r) - y(r). What is c(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 5.2. Let w be (2\/(-3))\/(12\/(-18)). Let u = -23\/7 - -122\/35. Which is the closest to w? (a) u (b) 1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9.6, 3\/8, -0.4, -6\/1303 in descending order.\nAnswer: 9.6, 3\/8, -6\/1303, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**4 + 528*y**3 - 9681*y**2 - 190788*y - 180576 = 0?\nAnswer: -11, -1, 36, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 157582615 to the power of 1\/3, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 5, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 21*y**2 - 13*y + 87. Give o(-20).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 9\/29243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/144 and -55\/4473.\nAnswer: 71568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -159, -1244, -2329?\n\"Answer: -1085*t + 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = 2*j + 31*x - 1 + 104 - 25, -4*x = 16 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from hehahjbeebb.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -755*s**4\/4 - s**2 + 29*s + 945. What is the second derivative of l(n) wrt n?\nAnswer: -4530*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - -0.1. Let d = t + -0.2. Let w = 1.0002 + d. What is w rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 - 7*q**2\/3 + 16*q\/3 - 4.\nAnswer: (q - 3)*(q - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/101821 and 56\/482885.\nAnswer: 112512205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) -0.249 (c) -777 (d) -4.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 42. Let p be b(19). Let v = p + 184. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -978 (base 12) to base 16\nAnswer: -56c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x. Let b be -4*((-7)\/(-2) - 3). Let a be (-13)\/b - (-3)\/(-6). Give m(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66279844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9)*1*6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 9*a**2 + 133*a - 2840. Let f be z(14). Let 0 - 8\/9*r - 2\/9*r**4 + 2\/3*r**3 + 0*r**f = 0. Calculate r.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.89 - 20. Let u = t - -0.11000022. Round u to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-221)\/(-2) - 14\/28 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.7 * 12462.8\nAnswer: 33649.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243363.\nAnswer: 3, 23, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27958964 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 8. Let l be 6\/p - 22\/(-14). Suppose t - 12 = -a, a + l*a = -6. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0, -8.2, -8\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 6\/11, -0.1, -6.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 10:33 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h - 134. Let r(l) = l. Determine x(r(d)).\nAnswer: -2*d - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 8:52 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**5 + 8*b**4 - 9*b**3 - 8*b**2 + 2*b. Let y(u) = -u**5 + u**4 - u**2. Let d be (9\/(-6))\/3*-6. Let p(g) = d*y(g) - t(g). What is a in p(a) = 0?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {c: 9, m: 1, y: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 487809*o**3*t**5 + 62*o**3*t + 1543*o wrt t?\nAnswer: 9756180*o**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, g: 1, z: 10}. Give prob of picking 2 g and 1 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**6\/720 - z**4\/4 - 2*z. Let g(n) be the third derivative of o(n). Let c(a) = -28*a. Determine c(g(i)).\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 5*c**2 - 3*c + 16. Calculate the remainder when y(-5) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1053\/4536 + (-3)\/8 - -3?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1220350 (base 8) to base 7\nAnswer: -2566616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1165038402 to the nearest integer?\nAnswer: 34133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (55\/275)\/((-4)\/40)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164*b**6 + 168*b**6 - 8*b**2 - 6*b**2 wrt b.\nAnswer: 480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*p**3 + 500*p**2 - 416*p + 80 = 0. What is p?\nAnswer: 2\/7, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 9 = -5*z, 2*v - z + 1 = 4. Calculate the smallest common multiple of 4 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10710 * 1.8275\nAnswer: 19572.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 - -3905753.80155.\nAnswer: 3905594.80155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + 3 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.959997737 - 20.96. What is f rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r. Let z(x) = 348*x**2. What is h(z(f))?\nAnswer: -1392*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(10\/(-140)) - -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166293207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 + 2*b)*(-5*b**3 + 3*b**3 + 4*b**3) + (2*b**4 + 21*b - 14*b - 8*b)*(5 - 2 + 14).\nAnswer: 38*b**4 - 17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51, -114, -189, -282, -399, -546, -729?\n\"Answer: -z**3 - 56*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15502 is divided by 189.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - -1434?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, t: 1, s: 2, v: 1, q: 4}. Give prob of picking 3 q and 1 v.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358046133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*-3*-6 - sqrt(500)) + -1*(1 + sqrt(5))*-6)**2.\nAnswer: 2112*sqrt(5) + 154916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43433 is divided by 415?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3345 divided by -5?\nAnswer: -669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(122*k - 244*k + 2 + 121*k + 227*k**3).\nAnswer: 454*k**3 - 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(-2*sqrt(28)\/sqrt(4)))\/((sqrt(180)*3)\/sqrt(2)).\nAnswer: -sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1615873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 1)*(-3*l**2 - 2*l**2 + 3*l**2)*(3 + 2 - 6) to n + v*l**2 + d*l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 8:05 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -207.301 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**2 - 11. Let f(v) = 1. Let t(g) = -22*f(g) - 2*u(g). Let d(q) = -4*q + 83*q**2 + 4*q - 84*q**2. What is d(t(n))?\nAnswer: -256*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*6\/72*2)\/(580\/40890).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14823152 is divided by 157.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*h - 29 = -39, -60 = -4*d - 5*h. Suppose -3*c - 8 = -7*c. Calculate the greatest common divisor of d and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379 + 134 + 121 + 124 + 4*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -15 + (-1 + -3 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 825310365 divided by 17165.\nAnswer: 48081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -138804*d**2. Let k(a) = 5*a - 3. Calculate k(j(s)).\nAnswer: -694020*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1100007 and 3732?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16143585 and 0.01267?\nAnswer: 16143585.01267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 40 = -2. Let r be 21\/o + (-1)\/(-2). Calculate the smallest common multiple of 5 and 12 - 0 - 0 - r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.5, -1\/3, 5, -6 in ascending order.\nAnswer: -7, -6, -0.5, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-7)))\/f)\/f**(-2))**(37\/3) assuming f is positive.\nAnswer: f**(296\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrnn when four letters picked without replacement from njjvnjjvjrvjur?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*m - 6*m + 8*m)*(11 - 11 - m).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 5*l - 9. Let i be f(4). Suppose -24*c + i*c - 6 = 0. Suppose 2*s = b - 6, 0*b - s = 5*b - 52. What is the lowest common multiple of c and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*r*z**3 - 50*r*z**2 - 61*r + 3368*z - 176612 wrt z.\nAnswer: -114*r*z**2 - 100*r*z + 3368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2295496 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 545416 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r, 7925*m = 7926*m - 7*r - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178 - 178 - 12*r)*(-6 - 12 + 13 + 10*r).\nAnswer: -120*r**2 + 60*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**3\/3 - 5*b**2\/2 - 3*b. What is the derivative of x(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 36630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -16. Suppose d = h + 4. Find the third derivative of -7*x**2 + 3*x**3 - 6*x**2 + 8*x**h wrt x.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7349.467mm to meters.\nAnswer: 7.349467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - -3 - 41 - (-2 + 20) - 9.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 32*m - 36. Let n(v) = -v + 1. Give -2*a(j) - 72*n(j).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 7*g**5\/4 + 351*g**4\/2 + 8493*g**3\/2 - 7726*g**2 + 8007*g\/4 + 2601\/2 = 0.\nAnswer: -51, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 1. Let o be l(-9). Let s(z) = 5*z**2 + 13*z + 11. Is s(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxjaaoxdooo. Give prob of sequence oda.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, o: 2}. Give prob of sequence orr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 5*s**2 + 0 + 1\/12*s**4 + 0*s**3 + 2*s. What is the first derivative of x(h) wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8332560 a multiple of 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*v - x, x = 3*v + 6*x - 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -252 - -350. Let i = f + -65. What is the greatest common factor of i and 561?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(85)*-5 + sqrt(85))\/(sqrt(80)*-1) + -5.\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 3367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2130*p - 19066. Give w(-9).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1017 divide 1058542849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -49096, -49090, -49074, -49042, -48988, -48906, -48790?\n\"Answer: g**3 - g**2 + 2*g - 49098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -151.53 and -0.0458.\nAnswer: 6.940074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 2*f - 3, -2*t + 19*f = 17 - 17 + 63 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 14*f**2 - 11*f. Let u(q) = 5*q**2 - 4*q. Let r(d) = 11*u(d) - 4*z(d). Suppose 4*b - 2 = 6. Let k(h) = b*h + 4*h + 0*h - 2*h. Determine r(k(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t**3 - t + 6. Let i(q) = -q**3 - 1. Give -10*i(j) - 2*x(j).\nAnswer: -4*j**3 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v + 70*v = -8*o - 19, -5*v + 4*o + 37 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 211 + 187 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24.87 + -26. Let m = j - -2.35. Round m to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -26*j + 2. Let g be h(-1). Suppose 4*x - 424 = g. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.531394 rounded to 2 dps?\nAnswer: 11.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4407 divided by -113\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000518 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7157 = p + s, 2*s - 21471 = -3*p - 0*s. Let v = p + -14552. Let j = -155236\/21 - v. What is the common denominator of j and 81\/4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -6)\/(4 - 3). Find the third derivative of -a*j - 4*j**2 - 4*j**3 + 5*j wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -68842.\nAnswer: -137684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1306248 and 134532?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h + 132 = 43*h. Let a = h + 4. Calculate the remainder when (-314)\/(-10) + (-4)\/10 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -196*m - 550*m + 23872 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/2 - 128\/(-56). Suppose 4 = 3*k - 5. Suppose 4*h + 3 = k*h. Which is the closest to w? (a) 0 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25.2 - 200. Let z = l + 189.26. Round z to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**30\/(p*(p*p**(-24))\/p))\/(p**(-1)*p*p\/(((p\/(p\/p**(-36)))\/p)\/p*p)) assuming p is positive.\nAnswer: p**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 228083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11a62 (base 11) to base 4\nAnswer: 10031202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.677477+-139.9\nAnswer: -140.577477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113808 and 384.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 39. Suppose m + 2*w = -p - 3, -11 = -m + 4*w. Which is greater: m or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 11:42 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 5, -4 in decreasing order.\nAnswer: 5, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18132372*z**5 - 559081542*z**4\/5 - 886471964*z**3\/5 - 418052614*z**2\/5 - 60441572*z\/5 - 48\/5 = 0 for z.\nAnswer: -4, -3\/2, -1\/3, -2\/2518385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by -108?\nAnswer: 85\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -133111?\nAnswer: 133111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbl when three letters picked without replacement from {l: 2, b: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617127 is divided by 232?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 662 = 622 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399276 = -108*q + 88097 + 90427. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w = 4577 + 7023. Let i = w + -437. Calculate the lowest common multiple of i and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 420098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 36dd27 (base 14) to base 15\nAnswer: 272a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 10, 5*d - 2 + 12 = -5*g. Suppose -5385 = -5*v + 2*c, -2*c = -5*v - g*c + 5400. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596035729 to the power of 1\/3, to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = j + 14, -3*j = 3*l + j - 4. What is the second derivative of 2*x**5 + x + x - l*x**2 + 4*x**2 wrt x?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izzwzizzzyyrzrz. Give prob of picking 2 i and 1 z.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/6 + -1*(-4)\/(-12). Suppose x + 2 = -0*x, -10 = -h*q - x. Solve -q = t - 0*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4*q + 2 - 2*q + (-2*q + 4*q - 4*q)*(-2 + 3 - 2))*(-3*q - 2 + 3*q + 2*q)*(6 + 4 - 30) in the form x*q**2 + d + h*q and give x.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, i: 1, s: 1, m: 5}. What is prob of picking 1 p and 3 m?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1847\/44 + 171\/4. Calculate the common denominator of 39\/8 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(171)*1*1)\/(sqrt(18)\/sqrt(8) + sqrt(1089) + sqrt(1089)*2).\nAnswer: 6*sqrt(19)\/67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*y - 0. Let o = -1 - -2. Suppose -v - o = 2*h, 2*h + 3 = -3*v - 8. Put y, -0.1, v in ascending order.\nAnswer: v, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 3*m**2 - 4*m**2)*(-121*m**3 - 151*m**3 + 381*m**3 + 66 - 124*m**3).\nAnswer: -15*m**5 + 66*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1470) - (sqrt(1470) - sqrt(1470)*-1))\/((sqrt(54) + sqrt(108)\/sqrt(2))\/sqrt(9)) + sqrt(20)\/sqrt(484) + (3 + sqrt(5)*-6)**2.\nAnswer: -867*sqrt(5)\/22 + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1069 + 1287. What is the remainder when x is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 - 6 = 0. Let j(o) be the second derivative of 0 - 2*o - 1\/3*o**3 + o**n. What is the first derivative of j(b) wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 296? (a) -40 (b) 13 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1418 = 8*p - 190. Suppose 53 = s - 4*w, -p = -s - 2*s - 2*w. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 993693792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 466695.5 kilograms in micrograms?\nAnswer: 466695500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 0*m + 2*m + (0 + 0 - m)*(2 + 0 - 4) - 30*m - 29 + 29 + (3 + m - 3)*(2 - 1 + 1) + 2*m - 3*m - m to y + l*m and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-2))\/g)\/g**(-1\/8)*(g\/(g*g**8))\/g*g*g**(-7)*g*g assuming g is positive.\nAnswer: g**(-111\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 111713386 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (72 + -11) - -47?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-25 - -16) + 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4 - 4*s**2 - 7 - 5*s**2 + 4*s**2. Let l(j) = -7*j**2 + j - 5. Let p(q) = q**2 - q + 1. Let a(y) = -l(y) - p(y). What is 3*a(d) + 4*o(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 33*y**2 - 9*y - 304. Determine c(-33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 26 = -5*d, 2*d - 2 = 2*p + 10. Suppose -6*a + 7 = -d. Factor -3*x**3 - 3*x**5 + 4*x**3 + 2*x**4 + a*x**5 - 2*x**3.\nAnswer: -x**3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112.49 - -1.51. Let b = -113.9907 + x. What is b rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10371559\/62152 + -7\/7769. Which is smaller: -167 or c?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 10\/(-5) + 84 - ((7 - 20) + 18).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - (-5*sqrt(243)*-2 - sqrt(243)) - (-5 + -1 + sqrt(243)))**2.\nAnswer: -972*sqrt(3) + 19719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10*(o*o**(2\/21)*o)\/o)**(-2\/55) assuming o is positive.\nAnswer: o**(-466\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23040 and 15786240?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -12, -3*p + 6 = 2*x - 14. Suppose 2*c + 2*c = x. Suppose c*t - 3*t = 8. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 - -100000?\nAnswer: 22012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.426577 - -0.49011. What is f rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*w - 3*w - 7 = 0, -628*a + 633*a = -2*w - 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 54*v + 117 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 186645 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g - 11. Let r(a) = 3*a**2 - 45*a - 103. Let d be r(17). Let s(m) = m - 1. What is d*l(q) + 6*s(q)?\nAnswer: -q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14*(-4)\/616*18\/(6\/(-1))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 10700 = 204. Suppose 5*n - k = 128. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 17*i - 28. What is h(-18)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -26. Let i be (r + -13534)*(-2)\/6. Suppose 48289 = 2*c - i. Round c to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.18 - 6.82. Let l = -0.37 + -1.13. Let g = l - o. Round g to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 107 - 657 = 0. Suppose 3*c = 4*c - n. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 - 2315*p\/3 - 772.\nAnswer: (p - 2316)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -130201013 (base 5) in base 14?\nAnswer: -12614b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -5*u + u. Let s(f) = 212*f + 26. Let r(h) = 2*h - 1. Let q(j) = 6*r(j) + s(j). Let x be q(u). What is x rounded to the nearest 100?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105419.9957 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-7))\/m)\/(m**(-2\/27)\/m)*(m**9*m)\/m**(-7))\/(((m*(m*m\/m**0)\/m)\/m**0)\/(m**7*m*m*m\/(m\/(m\/m**4*m)))) assuming m is positive.\nAnswer: m**(434\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46583\/3850 - 1\/1925. Find the common denominator of n and 4\/14 - (-2)\/(-4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -16 - 9. Let p be -4*4\/((-8)\/57). Suppose d = -3*w + 25, n*d - 4*w = -8*w + p. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**3 + 0*r**3 - 2*r**3)*(-4 + 1 + 8)*(-586 + 338 - 433) to the form d*r + j + a*r**3 + f*r**2 and give a.\nAnswer: 3405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.61 and 55 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7502 is divided by 1817.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 5. Let a = 1 - -8. Let b be g(a). Factor -v**b + 2*v**3 + 0*v**3 - v**4.\nAnswer: -2*v**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7848\/(-1635)*(-10)\/(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11741372 (base 9) to base 6.\nAnswer: -323203402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 743 * 0.103.\nAnswer: 76.529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*f = -58, 5*d + 2*f - 329 = -f. What is the remainder when d is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3404*n**3 + 4*n**2 + 2*n - 6. Let f(k) = -115736*k**3 - 138*k**2 - 69*k + 207. Determine -69*d(w) - 2*f(w).\nAnswer: -3404*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4, -288.5, 0.02, 29\/6?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 1359. Let f be d(-37). Solve -5*w = f, -2*i = 9*w - 8*w + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 46449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (3 - 4) + 0 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*r = 446949 - 449685 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**3\/6 + 19*l**2\/2 - 361*l\/2 - 73. Factor f(p).\nAnswer: -(p - 19)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 7 = -3*j + 8, -2*o = -j + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2*x = -4746 + 4756, 250 = 24*o + 2*x for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3509, 3490, 3469, 3446, 3421, 3394, 3365?\nAnswer: 3334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26924291929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 52.2019.\nAnswer: 1.566057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 525625 < 525628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5314206 and 183210.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -218 + 217.7. Sort k, 7\/2, -2 in descending order.\nAnswer: 7\/2, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1723\/(-2)*(-133)\/42. Let d = 2731 - i. Find the common denominator of -151\/18 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**5 + 1755*k**4 - 7175*k**3 - 26535*k**2 + 31950*k = 0.\nAnswer: -355, -3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726427 is divided by 242137.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 37 = 38 - 19 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2340\/(-1300)*(-4)\/(-18).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4087 + -0.0913. Sort 0.5, a, -10, 1 in decreasing order.\nAnswer: 1, 0.5, a, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -38*z + 43*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3583968 + 1?\nAnswer: 3583969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 1 + 2*f - f + f**2 - 2*f. Let z(o) = 4*o + 52. Let c(u) = 2*u + 25. Let a(x) = 13*c(x) - 6*z(x). Let k be a(-8). Calculate j(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4243, 5\/4, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1284, -2129, -3536, -5505, -8036?\nAnswer: -11129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 514*n**4*s**3 + 193*s**3 with respect to n.\nAnswer: 2056*n**3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*q + 214*q + 53 - 111*q to the form h*q + k and give k.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -2\/11 (c) -2\/427 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1062)\/3009*(-6)\/18.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2 - 2)*0. Suppose -4*i - 14*q + 9*q + 41 = 0, 28 = 2*i + 4*q. Solve -o + l*o = -i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4*f**2 + 3*f**3 + 3 + 0*f**3 + 2*f**3 - f**3 + (1 - f - 1)*(-f**2 - 2*f + 2*f) to the form o*f + u*f**3 + n*f**2 + w and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 17 = -15. Let o(p) be the first derivative of -1\/2*p**j - 3 + 11*p. Give o(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 - ((101 - 76) + -40)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, t: 12}. What is prob of picking 1 r and 2 t?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 96?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(((-96)\/54)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12756126 is divided by 80.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128308*d**4*l**3*m - 341*d**4*l*m - 42082*d**2*l**3*m - d**2*l**2*m - l**3*m - 8*l*m + 9*m wrt d?\nAnswer: 3079392*d*l**3*m - 8184*d*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 16. Let v be l(17). Put 4, v, 7 in increasing order.\nAnswer: v, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17b84 (base 12) in base 2?\nAnswer: 1000011011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1485.373 - 1482. Let s = r - -0.137. Let d = 3.5 - s. Is d != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 - (5 - 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1370 and -137\/70.\nAnswer: 9590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4970 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 7 - 16\/248*-47*2?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d**2 + 791*d - 645. Let q be a(131). Solve g + 15 = -5*f, -2*f - 5*g = -7 - q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmw when three letters picked without replacement from mwkmkikwmn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2. Let u(j) = 47*j**2 - 4*j**2 + 9*j**2. Determine u(g(c)).\nAnswer: 52*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270520215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*d - 66242131 + 66242131.\nAnswer: 147*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021000 - 11?\nAnswer: 2020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -5, -1837, -2 in ascending order.\nAnswer: -1837, -5, -2, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/5 (b) -1 (c) -2\/27 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 24*h**2 + 42*h - 52. Let n be l(-24). Put 0, 4, -2, n in descending order.\nAnswer: 4, 0, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77961*i**3 - 136837*i**3 + 12541*i**3.\nAnswer: -202257*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-5\/8))\/l)**48)**(21\/5))**15 assuming l is positive.\nAnswer: l**(-1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 256437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 318875192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80 - 5. Let p = 87 + t. Solve n + p*u = 5*u, 5*u + 10 = 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*c - 382 + 25 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 + 4. Let z(p) = 25020*p. Give g(z(s)).\nAnswer: 2504001600*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + -2 + (sqrt(200) + 3 + sqrt(200) + 0)*-1))**2*2 + 4.\nAnswer: 960*sqrt(2) + 6476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1918, -649, 620, 1889, 3158?\nAnswer: 4427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7))**(17\/7)*k*k**(-3\/7)*k\/(k*(k*k*(k*k*k**0*k)\/k)\/k*k)*k assuming k is positive.\nAnswer: k**(-153\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v - 4. Let z(s) be the first derivative of 7*s**2 - 21*s - 245. What is 11*q(u) - 2*z(u)?\nAnswer: 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7560.481ml in litres?\nAnswer: 7.560481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0854 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 15*i**4\/4 + 11*i**3 + 21*i**2\/2 + 3*i + 345. Factor c(a).\nAnswer: 3*(a + 1)**2*(5*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - l**2 + l + 1. Let w(s) = 2*s**3 + 3*s**2 - 5*s + 3. Let j(h) = 2*w(h) - 6*x(h). Factor j(i).\nAnswer: -2*i*(i - 4)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668252?\nAnswer: 2, 13, 71, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 4:22 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/16 + (-162)\/(-4).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 2*l + 5. Let g be m(3). What is the smallest common multiple of 6\/(-9) - (-32)\/3 and g*-1 + (-3 - -15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -129140993 and -7.341.\nAnswer: -129141000.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 170. What is the common denominator of 9\/8 and u\/26 - (-6)\/2?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/173 (b) -3 (c) -5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 257, 273, 303, 353, 429, 537?\n\"Answer: y**3 + y**2 + 6*y + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 11*q - 141. Let c be a(0). Let p = c + 375. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (2\/(-5) - (-12)\/(-20)). What is the second derivative of 50*u + 26*u + 4*u**b - 63*u wrt u?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 97, 90, 83, 76, 69, 62?\n\"Answer: -7*i + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(4\/3)*(t**(2\/9)*t)\/t*t)**(-6\/31))**(-2\/5) assuming t is positive.\nAnswer: t**(92\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-220)\/(-550) - (26\/40 + -1). Let 3\/2*d - 3\/4*d**4 + a*d**2 + 0 - 3\/2*d**3 = 0. Calculate d.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.29935. Round x to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*t - 116 = -385 - 556 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54173\/25 - -2167. Let j(v) be the first derivative of -2\/5*v**2 + u*v**5 - 2\/5*v**4 + 0*v + 1 + 2\/3*v**3. Factor j(p).\nAnswer: 2*p*(p - 2)*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1963357 is divided by 71.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -48?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -11 - 14. Suppose -m + 3*m + 2*k = 22, m = -t*k + 7. Let o(i) = -7*i - 6*i + m*i. Let n(h) = 3*h. What is -3*n(c) - 8*o(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/((-2)\/(-4)). Let k = n - 5. What is the units digit of (-2)\/k + 69\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + j - 24 = -j, 2*u + 4*j = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396*p - 417*p = -42. Let i(w) = -w - 5. Let d be i(-5). Let f = d - -4. Solve -p = -2*k + f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2309, -4625, -6941?\n\"Answer: -2316*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6 + a + 4*a + 2*a - 6*a. Suppose -20 = 3*n - p, n + 22 = -4*n - 4*p. Calculate r(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -494 minus 12984?\nAnswer: -13478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23285 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -133, -286, -459, -652, -865, -1098?\n\"Answer: -10*l**2 - 123*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 126828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*g**3*j - 4*g**3*q**2*v**2 - 3*g**2*q**2*v**2 - g*j*q**2*v - 3*g*j*v**2 - g*q**2*v**2 - g*v**2 wrt j.\nAnswer: -28*g**3 - g*q**2*v - 3*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 7)*(-3 + 4 + 6) + (-2 + 3 - 2)*(-3 + 4 - 3))*(-4*a + 2*a + 0*a).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*j = 97*j - 168 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y = -6*y - 198 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1207521941?\nAnswer: 197, 6129553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v + 42260 + 24917 = 0. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 461 + -380. Suppose 58*i - 49*i - r = 0. What is the greatest common divisor of 18 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7*o = -4*v - 410, 3*v - 445 = -5*o. Suppose -5*w + o = -34. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(1\/9)*v*((((v*v**(-3)*v)\/v)\/v)\/v)\/v*v**(-6)*v*v**(-1\/2)*(((v**(-1\/3)*v)\/v)\/v)**(-10\/7)\/(v*v**(2\/5)*v)**40 assuming v is positive.\nAnswer: v**(-12941\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.89321ml?\nAnswer: 0.00189321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-295)\/(-2))\/(176\/352) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24418 and 580.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 567660, 567662, 567664, 567666, 567668?\nAnswer: 567670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7396*s**5 + 95804*s**4 + 365332*s**3 + 397028*s**2 - 19064*s + 224 = 0. Calculate s.\nAnswer: -7, -4, -2, 1\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -212 + 133?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlwl when four letters picked without replacement from wwlslslswwwwswww?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 31. Suppose -2*a + 2*c + 1348 = -a, o*a - 6749 = c. Is 75 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/20 and -21\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q*r**4 - q*r**3 - 7*q*r**2 + 246*q*r - q wrt r?\nAnswer: -48*q*r**2 - 6*q*r - 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 6446548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 - 3892912*z**3 - 947176632888*z**2 - 1894341587056*z - 947168847076.\nAnswer: -4*(z + 1)**2*(z + 486613)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-7))\/j)**(-1\/18)\/(j\/j**6)**(13\/2) assuming j is positive.\nAnswer: j**(296\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = -4*o, -2*o = 3*o - 5. Suppose n = -0*l + l. Solve -5*b = -0*b - 10, -l*u - 3*b + 11 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 21*x + 28 = 0. What is the remainder when 4\/(1 + x\/(-32)) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y + 22. Suppose -5*b - y = -2*j, -b + 21 + 45 = 4*j. Find the common denominator of j\/72 - 3052\/(-360) and -25\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + n + 1. Let v(z) = 8*z**2 + 5*z + 5. Let c(t) = 5*f(t) - v(t). Let a(l) = 12*l**2. What is a(c(g))?\nAnswer: 108*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 2. List the prime factors of (-4)\/g + (-33)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l\/(l**6\/l))\/l))\/((l\/(l**(-9)\/l))\/l))**(-12) assuming l is positive.\nAnswer: l**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 651, 2996, 7059, 12840, 20339, 29556?\n\"Answer: 859*y**2 - 232*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qffe when four letters picked without replacement from {l: 2, j: 2, e: 4, t: 1, q: 3, f: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 655 + -653. Solve r*j - 36 = 4*p - 2*j, 3*j = -4*p - 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1709076, 3418212, 5127348, 6836484, 8545620, 10254756?\n\"Answer: 1709136*n - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, 3, -70, -164, -5\/7 in increasing order.\nAnswer: -164, -70, -5, -5\/7, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {w: 3, u: 12}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 159*s + 4 + 41.\nAnswer: -159*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8, 20, 56, 128, 248?\n\"Answer: 2*u**3 - 2*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -4*i - 20, -2*i - 22 = 7*x - 0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 128*q**3 - 2*q**2 - 3*q + 4. Is d(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 7. Let l be a(-6). Put -3\/4, l, 0.2, 1\/9 in decreasing order.\nAnswer: 0.2, 1\/9, -3\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 40333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(-2\/37)\/w)*w**(-1) assuming w is positive.\nAnswer: w**(39\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14475836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (1 + sqrt(1900))*6 + 1 - (((sqrt(1900) + -2 + sqrt(1900))*6 - sqrt(1900)) + (sqrt(1900) - (2 + sqrt(1900) + 4)**2))).\nAnswer: 120*sqrt(19) + 3902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4584*w = 4588*w - 2*u + 30, -3*u = 5*w + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 146 = -5*h - 5*l, h - 3*l - 9 = 0. Let c = 175 + -13. Is 18778\/h - 36\/c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118 plus 0.9?\nAnswer: 1118.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 - 1.5. Let r = v - -0.3. Is r greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -10 + (-30)\/10. Let x be d\/12 + (-1)\/(-6). Is (4\/12)\/(x\/(-105)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 x when three letters picked without replacement from xbbxxxxxxxbx?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**2 + 3*t**2 - 4 + 3)*(2*t**2 + 2*t**2 - 5*t**2).\nAnswer: 3*t**4 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -17*i - 334. Calculate q(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -9 - 0) + (-76 - -82).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -106, -2, 544, -5 in decreasing order.\nAnswer: 544, 45, -2, -5, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**5\/30 + p**4\/24 + p**3\/6 + 16*p**2 + 25*p. Let d(z) be the first derivative of t(z). Give d(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -2\/7 (c) 11092\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f + f**3 + 6*f**2 - 4 - 2*f**2 + 3 + 5. What is the hundreds digit of k(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77877, -77776, -77607, -77376, -77089, -76752, -76371, -75952?\nAnswer: -75501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110200012222020 - -21?\nAnswer: 110200012222111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -u + 236. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181939 is divided by 1341.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 39, 62, 85?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -2*g**3\/3 - 16. Let a(f) = 8*f. Calculate a(y(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -64, -1\/595, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5000, 9985, 14968, 19949, 24928?\nAnswer: 29905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -12*l**3 + 29*l**2 + 3*l - 3. What are the prime factors of m(-4)?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201020121022 (base 3) in base 10?\nAnswer: 910232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 5*n + 59250 = 0. Suppose n = 22*r - 17*r. What is r rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110111001101110100 (base 2) in base 6?\nAnswer: -24030152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t - 4*d + 40 = 0, 4*t = 5*d + 67. Calculate the smallest common multiple of 9 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*x + 31708 + 50433 = -74099. What is the greatest common factor of x and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77361884?\nAnswer: 2, 71, 211, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293004 a multiple of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a - 39. Let b be p(6). Suppose 3*r = -v + 4*r + 5, -v + 7 = -b*r. Solve v*h - 5*k = 0, -19 = -3*h + 2*k - 3*k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 148*v + 10879. Let w(q) = -q**2. What is k(w(n))?\nAnswer: -148*n**2 + 10879","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 42111162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + 62 + -55?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(931) + 5 + -1 + sqrt(931))**2.\nAnswer: 84*sqrt(19) + 3733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8778 divided by -33\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-33)\/(m\/(m*m*m*m*m\/(m*m**(-28))*m)))**24 assuming m is positive.\nAnswer: m**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -23 - -6 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**3 + z**2 + z. Let j be (5*18\/30)\/(-3). Let q(y) = 14*y**3 + 12*y**2 + 30*y + 20. Let w(v) = j*q(v) - 4*p(v). Solve w(u) = 0 for u.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*q - 3 = 0, -3*q + 2*q - 12 = -4*y. Solve r = -y*r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4419766519391 less than -1?\nAnswer: 4419766519390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1987\/14444 + -4\/157. What is the common denominator of 7\/23 and h?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:19 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 303 = 27. Let z = y - 30. Let h(u) = 4*u**3 - 3*u + 3. Let f = -18 + 11. Let g(k) = 9*k**3 - 7*k + 7. Give f*h(j) + z*g(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from mmmppmpppgm?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2473617, 5, -1\/12?\nAnswer: 2473617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 950 and 5400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -56, -51, -46, -41, -36?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 12, -3*c + u - 3694 = -22388. Let o = 103057537 + -6389953463\/62. Let p = c + o. What is the common denominator of p and -125\/18?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10022008597381\/4765 + -2103254699. Let t = 3\/1906 - k. What is the common denominator of t and 64\/33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1061 + 54?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 42*f**2 - 267*f + 970. Calculate j(-49).\nAnswer: -2754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/11 - 806*k\/11 - 162409\/11 = 0.\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-15) + 36\/15. Suppose 0 = -2*u - 3*q + 89, 48 = u + 3*q + h*q. Suppose u + 38 = o. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0)*1\/(-1). Let p = z - -3. Suppose 232 = p*f + f. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -13. Calculate the remainder when l is divided by ((-60)\/(-75)*-4)\/(-3 - (-13)\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -27, 4, 2\/23, 3\/8, 0.3 in decreasing order.\nAnswer: 4, 3\/8, 0.3, 2\/23, 0, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 4*s + 4. Suppose 3*g + 5*j = 1, 4*j = -3*g + 1 + 1. Suppose -g*w - 15 = w. What is q(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 - 6*n**4 + 2*n**4 + (-5*n**2 + 0*n**2 + 2*n**2)*(-252*n + 252*n + 15*n**2).\nAnswer: -49*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, f: 8, z: 1, a: 1}. What is prob of picking 2 j?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1 (b) -0.1 (c) 4 (d) 2\/21 (e) 2\/7 (f) 9419 (g) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1566823179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.8124017 - 0.4948873. Let u = 28.692846 - t. Let v = u + -33. Round v to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/153 and -5\/1479?\nAnswer: 4437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11102201112 (base 3) to base 5\nAnswer: 10243103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -10*n + 9*n, 3*n = -5*v + 24. Which is the closest to 4? (a) v (b) -8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (138\/(-72))\/23 - 425\/(-204). Let f = 523\/210 + -33\/14. Determine x, given that f*x**3 + 4\/15 - 2\/15*x - 4\/15*x**c = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 18222, 1\/3, 0.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 13 = l, 1778075 = 4*l + 5*o + 1778009 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 369, 525, 681, 837?\nAnswer: 993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1769, 13724, 46097, 109070, 212825, 367544, 583409?\n\"Answer: 1697*z**3 + 27*z**2 - 5*z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 942 and -0.5?\nAnswer: 942.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -c5b25 (base 13) in base 3?\nAnswer: -200001210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 364 - 364.27. Let m = -2.73 + n. What is the third smallest value in m, 5, 1\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 34?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-one fifths of a micrometer?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 33137 * -0.3\nAnswer: -9941.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 + 0.039.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14949.\nAnswer: 3, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85555 - 39983. List the prime factors of g.\nAnswer: 2, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**5\/11 - 2*j**4\/11 + 6*j**3\/11 + 10*j**2\/11 + 4*j\/11 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*r**2 + 3\/4 + 21\/8*r.\nAnswer: -3*(r - 2)*(4*r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -178 + 103. Let q = j - -115. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2763394.\nAnswer: 2, 1381697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 306157 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/10 + 4\/(-10). Let y be (l\/2)\/((-1)\/8). What is the highest common divisor of 20 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 49*i - 67. Let k(b) = 99*b - 134. Let y(l) = -11*g(l) + 6*k(l). Find the first derivative of y(m) wrt m.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68118d (base 14) to base 13\nAnswer: 96b0cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-113)\/(-113))\/(-1 - (-9)\/6) + -11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {u: 1, g: 4, t: 4, x: 4, o: 7}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -306916, -2, 19 in descending order.\nAnswer: 19, -2, -306916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122200002100001122 + 0?\nAnswer: 122200002100001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -112 (b) 1\/20 (c) 0.5 (d) 2\/7 (e) -1\/6 (f) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**4\/4 + 7*l**3\/3 + 4*l**2 - 9*l - 466. Calculate w(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -36 (c) 2\/11 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38397.\nAnswer: 3, 12799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -242?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 20*z + 4. Give d(-11).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 3. Let s(a) = a + 5. Calculate -6*s(j) + 10*t(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3429 = -13*o + 4547. Let b(a) = -3 + a - 5*a + a - 2. Calculate the remainder when o is divided by b(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1020)\/(-357)*6\/(-15))\/((-2)\/(-7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - -297. Calculate the highest common divisor of 47 and c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20\/23 (b) 6\/19 (c) 0 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i = -4*n + 16, 0 = 2*n + 3*i - 6 - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27334 and 12008.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0367 - 0.039. What is j rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 10 + 30 = 0. Let j be 3*4*(-1)\/2. What are the prime factors of y\/15 + (-94)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + -8. Let l be ((-2)\/4)\/(2\/o). Solve 2*v - v - 9 = 5*z, l*v + 10 = -3*z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 853*y**4 + y**2 + 2 - 2008*y**4 + 740*y**4 + 723*y**4 to h*y**4 + n*y**3 + q*y**2 + l + d*y and give h.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**6 + 39705*q**3 + 2*q**2 - q - 78 wrt q.\nAnswer: -240*q**3 + 238230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - z - 3*z**2 + 2*z**2 - 2*z - 1. Let m(n) = n**2 + 1. Let a(d) = m(d) + 2*u(d). Suppose a(g) = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**3 - 3*l**3 + 16*l - 4*l**3 - 2*l**3 wrt l.\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*p - 22779935 = 83*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5)**12\/(h\/(h**(-6)\/h))**22 assuming h is positive.\nAnswer: h**(-116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 27\/(-18))\/((-3)\/4) - (-69 + 68)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14158 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100573 (base 14) to base 4.\nAnswer: 2003210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c - 2 - 9*c - 7*c - 2*c in the form a*c + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15613\/81 or 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/3*6\/45.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.3 and -9265.84?\nAnswer: 9262.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917079 is divided by 2796.\nAnswer: 2787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 8*j + 10. What is the remainder when 631 is divided by x(-8)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698024941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - -2b?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7 - (-26)\/7. Let m = 29 + -27. Solve -5*h + 0 = -m*a + 6, -3*a + h - r = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 3*t**2. Let c be n(-3). Suppose -3*v = -c*v - 12. Suppose -130 + 38 = -v*f. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (171 - 114) + (-9 - (-13 - 4)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130546 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8819\/7 - -1255. Let t = k + 632\/133. Sort 12, t, 4 in decreasing order.\nAnswer: 12, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.1492 - 0.1492. Which is the third biggest value? (a) 37 (b) p (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-2 - (-119)\/(-17). Let f(w) = -2*w + 58. Suppose 104 = -5*b + 9*b. What is the remainder when f(h) is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 + 2*w**2 + w**2 - w**2 + 0*w + 0*w + (0*w - 2*w**2 + 0*w)*(-1 - 2 + 1) - 3 + 2*w**2 + 3)*(21 - 20 + 38).\nAnswer: 117*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4537 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 2908456*n - 1057389537992.\nAnswer: -2*(n - 727114)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7 + 3.9. What is the closest to -2 in j, 1\/2, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j - 3*j - 2108 = 0. Suppose -x + 2*x - 2*a - j = 0, 0 = 5*x + a - 340. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*n = -31*n - 859 - 623 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1886*v + 32 = 1894*v. Let y(o) be the first derivative of 4\/15*o**3 + 9\/10*o**v + 14\/25*o**5 + 7 + 0*o**2 + 0*o. Suppose y(x) = 0. What is x?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.064 less than 5586432?\nAnswer: 5586432.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 26*y = -30*y - 18, -h - 16 = 3*y. Find f such that 54*f + 6 + 243\/2*f**h = 0.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.3. Let v = 6 + -4. What is the nearest to -1 in y, v, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.1. Let n = -7.0000056 - -7. Let h = a - n. What is h rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 + s**3 - s**3 + 2*s**3 + (-30*s + 48*s + 14*s)*(-s**3 - 3*s**3 + s**3).\nAnswer: -97*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 + 23978*a**2 + 3360595*a + 117663700.\nAnswer: -(a - 96052)*(a + 70)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*s + 2*s - 22, -5*w - 5*s = -10. Suppose 2*i = i + w. Let l be 3\/(-2)*i\/18. Which is the third smallest value? (a) -2\/13 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-3))\/((-1990)\/(-8358))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3350.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34530 (base 6) in base 10?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/((-2)\/(-3)). Let y(c) = c**3 - 8*c**2 + 8*c - 8. Let a be y(7). Let u = a - f. Solve u + 2 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9644057.\nAnswer: 9644057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2196021?\nAnswer: 3, 829, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57506 + -27199. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30121041 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*d + 343*d - 900 = 185*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*n - 33 = -0, 9 = o + 3*n. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000105916 to 7 dps.\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 10038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24243 + 168365 = 3188*y - 6822 - 30772 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from noknslknsobn. Give prob of picking 1 n, 1 l, 1 s, and 1 k.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 393, 438, 483?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4374610901 to the nearest integer?\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 6 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2935950*-1\nAnswer: -2935950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -134.21 - -136. Let z = m + 14.21. Is 6 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -16) + -3 + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.1 + 9.1. Let t = -206.9 + 231. Let f = t + -24. Sort c, f, 2\/21, 3 in descending order.\nAnswer: 3, f, 2\/21, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*d - 35, -9*d + 4*d = q - 41. Suppose -f = -3*f - 4*j - 16, -3*f + q = -5*j. Solve -f*h + 6*h + 16 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.25 (b) -0.2 (c) 3.59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*i**3 + 7*i**2 - 14298*i + 8996208 with respect to i.\nAnswer: -84*i**2 + 14*i - 14298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000585961 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2. Let l(n) = -59*n**2 + 20*n + 10. Let x(d) = 324*d**2 - 108*d - 54. Let b(y) = -27*l(y) - 5*x(y). Determine b(i(c)).\nAnswer: -243*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2278 + -2257. Which is greater: r or 169\/8?\nAnswer: 169\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 7:10 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 12:33 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-5 - 0) + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2444220578 to the nearest integer?\nAnswer: 49439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 5*b - b)*(5*b**4 - 5*b**4 + 2*b**4) + 3*b**5 + 23*b**5 - 6*b**5 + (2*b - 2*b - b)*(-1714*b + 53*b**4 + 1714*b).\nAnswer: -31*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10*((-10)\/(-8))\/(38\/((-152)\/10)). Let 5\/3*u**2 + 0 - 5\/3*u**4 - 5\/3*u**5 + t*u**3 - 10\/3*u = 0. Calculate u.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 = -5*w - 3*c, -3*c = -w + 28 + 11. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 422022 + -3?\nAnswer: 422014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v. Let f(w) be the third derivative of 0*w**4 + 0 + v*w - 1\/30*w**5 + 0*w**3 + 5*w**2. Let d(g) = -7*g**2. Determine d(f(y)).\nAnswer: -28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27676, 27675, 27676, 27679, 27684, 27691, 27700?\nAnswer: 27711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1268952 and 67\/4407?\nAnswer: 1864090488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3994 - 3993. Let s be 9\/14 - (-7)\/14. Put 5, s, t in descending order.\nAnswer: 5, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*((-4)\/(-7))\/4. What is the third smallest value in o, -2, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3973 + 3917 + (-4 + 2 - -17).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(168) + -3*(1*sqrt(168) - sqrt(168)))\/sqrt(12))\/(sqrt(200)*-3*3))**2*-2.\nAnswer: -7\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1444 + 1448. Put 0.4, d, -2\/7 in ascending order.\nAnswer: -2\/7, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*p. Solve 4*q + q = -4*f + 7, 2*f - 8 = p*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5647848 and 51152?\nAnswer: 259801008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22 - (-7)\/(28\/(-8)). Calculate the highest common factor of 80 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*2 - sqrt(325))**2 + 0.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -68*h - 2589. Let v be d(-38). Let k(a) = -19*a - 38. What is k(v)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 424?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5936 and 2638923.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139480.42 - -46314?\nAnswer: 185794.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**7\/1260 - r**4\/12 - r**2. Let n(m) be the second derivative of v(m). Find z, given that n(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 0. Suppose 3*w - 4 = -h - t, -30 = 5*w - 3*h. Let j be 1*(-3)\/w + 15. What is the highest common divisor of 40 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4383 + 4385. Let x(n) be the first derivative of 1\/2*n**y + 3 - 5*n. Let k(g) = -5*g + 26. What is -2*k(v) - 11*x(v)?\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 6380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -1*4 - (-14 + 8). Which is the smallest value? (a) -0.085 (b) -3\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaa when three letters picked without replacement from ssaasax.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 divided by -7.\nAnswer: 111\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2647.893 to the nearest integer.\nAnswer: -2648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z**(-30)\/z))**(-13) assuming z is positive.\nAnswer: z**(-442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/880*(-2 - 52*3) - -2. Let w(u) be the second derivative of m*u**6 + 0 + 0*u**2 + 10*u + 0*u**3 + 1\/16*u**4 - 3\/40*u**5. Factor w(b).\nAnswer: 3*b**2*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 29019*n + 203365. Give f(-7).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 924224 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5 = -3*h - 2*z, -3*z = -2*h + 25. Suppose -4*t + 348 = 4*o, -h*t = 4*o + 120 - 467. Suppose -o = -4*d + 40. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 1. Let j(a) = 30*a - 21. What is 3*j(h) + 63*k(h)?\nAnswer: 27*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 17*d**3 - 13*d**2 - 4*d + 9. Let j(u) = 9*u**3 - 6*u**2 - 2*u + 5. Let a(x) = 7*j(x) - 3*n(x). What is the remainder when a(3) is divided by 101?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 9579248 and -28.\nAnswer: 9579220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 13. Let l(n) = n**2 - 2*n - 5. Let j be l(5). Let c = 10 - j. What is the units digit of d(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) 3 (c) -1.5 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 15*i = 12*i - 9, -2*i = 5*q - 29 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 3\/(9\/87)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 - 19 = 5*u + 1402*r - 1407*r, -3*r = u - 4 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18701075 from 0.05.\nAnswer: -18701074.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10448 - 10449. What is the nearest to 2\/13 in -1\/37, 0.5, 2\/5, l?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - (-71)\/8)*16. Let f(a) be the second derivative of -2\/15*a**2 + 1\/15*a**3 - l*a - 1\/90*a**4 + 0. Determine c, given that f(c) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (0 + 0)) + -2 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1015 (base 9) to base 16\nAnswer: -2e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 1:27 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1201 (base 8) to base 5\nAnswer: 10031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/9)\/((-48)\/18 + 2). Suppose -2*a + 1 = -z + 2, 3*z = -5*a + 14. Let k be -1 + a + 2 - 1. Is n less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 2*x - 5*x. Suppose -3*g + x = -g. Suppose -26*v = -g*v + 396000. What is v rounded to the nearest ten thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(192)*-2 + -5)**2.\nAnswer: 128*sqrt(3) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 24 = 4*l - 0*l, -2*h = 3*l + 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 2*g + g + 18 + 0 - 8*g**2 - 8. Let z be d(-8). Let b be (-2)\/(-2) + z\/12. Which is greater: 6 or b?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 61.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10356610 (base 9) to base 6.\nAnswer: 255041530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657*b + 641*b - 540*b - 1033*b.\nAnswer: -1589*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/15)\/(d\/d**(2\/49))*d*d\/d**(-23)*d*d*d*d\/(d*d**(3\/19)) assuming d is positive.\nAnswer: d**(371696\/13965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6 - 5 + 2*t + 2*t + t**2 + 2. Let n be x(-1). Solve 2*o + 5 - 15 = n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 40, -2\/7, 3, -0.083, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, e: 1}. Give prob of picking 4 r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/16 + 1\/2 and 13\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6244 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((9 - 8) + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001 - 1?\nAnswer: 1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, -130, -396, -814, -1396?\n\"Answer: -2*w**3 - 58*w**2 + 62*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14))\/((-207)\/4347)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 616877600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*1)**2 + sqrt(128) + -3.\nAnswer: 8*sqrt(2) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) + 797\/5. Let y = i + 12. What is the remainder when 56 is divided by (y\/(-12))\/3*-4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2508928?\nAnswer: 2, 17, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 343*b + 4. Let l be 1 + (2 - 3) + -2. Let v be w(l). Let m = -3457\/5 - v. Calculate the common denominator of -29\/6 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*r**3 + 2 + 121*r**3 - 2.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 2, -267\/7, -0.3, -1\/2, 0.5, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2 - 2)*(-2 + 3 + 2) + (1 - 1 - u)*(-5 + 2 + 1) - 2*u - 4*u + 9*u + 3*u - 4*u + 0*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -10. Suppose 4*h = -l - x, 2*l - 5*h = 8 + 23. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 13. Suppose 2*w + 3*w - 125 = r. Is 25 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 459465.21 microseconds?\nAnswer: 0.000127629225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 10*m**2 - 6*m. What is u(-9)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*u = -2*u, 0 = -3*f + 5*u + 26. Let k(w) = w**3 + 2*w**2. Let b be k(-2). Suppose -f*n = -4 - b. Sort -3, 1, n in ascending order.\nAnswer: -3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2015\/869, 15, -4 in ascending order.\nAnswer: -4, -0.2, 2015\/869, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**6 - z**3 - 1. Find the third derivative of u(j) wrt j.\nAnswer: 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(4\/(-328)) - (2 + 1). Let j = s - -156. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7\/4, -1, 0.2, -3?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 29*n**2 + n - 10. Let o be z(-7). Let x(k) = 2243*k**2 + 57*k - 57. Let p be x(1). Let i = p - o. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13153632 + -3?\nAnswer: 13153626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25746?\nAnswer: 2, 3, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*f, -5*u - 4*f + 46 = -3*f. Let o be (-3)\/(u\/(-12)*-14). Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*l - 24*l - 5*l**5 + (2*l**4 + 4*l**2 - 4*l**2)*(2*l + 2*l - 2*l) - 6*l**5 + l**5 + 2*l**5 + (-3 - 5 + 4)*(-1 + 1 + l**5).\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5692\/(13\/(78\/24) - 0). Suppose -34*b = -o - 1297. Is b <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1286334, -1286318, -1286302, -1286286, -1286270, -1286254?\n\"Answer: 16*i - 1286350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11419061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*l + 11*l - 98*l)*(4*l - 2*l - l + (-3 + 2 - 1)*(l - 3*l + 4*l)).\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/3))\/k**(2\/3)*(k**(2\/7))**(1\/20) assuming k is positive.\nAnswer: k**(71\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1677888 is divided by 924.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (56\/12)\/((-90)\/135)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4\/5 + 27*n**3\/5 - 99*n**2\/5 - 5567*n\/5 - 15162\/5 = 0.\nAnswer: -19, -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25)\/8*2\/5. Let q = -4\/8599 - 15951129\/34396. Let w = 464 + q. Sort f, -3, 4, w in ascending order.\nAnswer: -3, f, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 1. Let g be m(2). Find the first derivative of 57*f**3 + 6 + 2*f - 61*f**g - 2*f wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*u - 4*p + 9, -2*u - 3*p = -4. Let q(o) = -5 - 2*o + u. Let x(a) be the first derivative of -2*a**3\/3 + 2. Give x(q(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ottttosstisot. What is prob of sequence oi?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78326 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmfnskmkmkkkgmkmk. What is prob of picking 1 f and 1 g?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 27*w**3 + 13*w**2 + 20*w. Let i(n) = 13*n**3 + 6*n**2 + 10*n. Let k(a) = -13*i(a) + 6*u(a). Find the second derivative of k(c) wrt c.\nAnswer: -42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 1. Let t be r(-3). Suppose -t*q = -7*q + 5. Solve -4*f - 4*c - 10 = -2*f, -f + q = -c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2856.6107 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -33301 (base 4) to base 5\nAnswer: -13014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252 - 71 - 81 - 80 + 89*q - 19.\nAnswer: 89*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 605484.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (sqrt(42)\/(sqrt(6) - 5*sqrt(6)))**2) + 5.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b**2 + 16*b**3 + 39*b**2 + 56*b**2 + 66*b + b**4 - 18*b**2 = 0. Calculate b.\nAnswer: -11, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**5\/45 - f**4\/27 - 2*f**3\/27 + 2*f**2\/9 + 2*f + 1. Let d(o) be the first derivative of c(o). Factor d(k).\nAnswer: 4*(k - 1)**2*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591117308.\nAnswer: 2, 47, 401, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 61527.6 years?\nAnswer: 61.5276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35.3 - 35. Let p = 4\/149 + 286\/447. Suppose -3*o = -3*u - 9, 2*o - 5*o + 5*u + 19 = 0. Sort p, l, o.\nAnswer: o, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p. Suppose -5*y - 18 + 43 = p. Suppose o = y*o - 20. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/312 and 18\/2 - 6538971\/722748.\nAnswer: 12792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x - 14. Let s be w(6). Which is the closest to 2? (a) s (b) -3 (c) 10\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 11 + 19 = -5*b, 6 = 4*b + 2*f. Let l = b + -1. Let y be -3 + (-3 - 22\/l). Solve 2 - 7 = y*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 t when three letters picked without replacement from uttsshhkhukht?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 + 14*m - 4. Let z be c(6). Let r be (-1 - (-1)\/1)\/(-2). Solve 2*p + 2*d - z = r, 2*p + 5*d - 12 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f + 6. Let s be (-1 + (-12)\/(-15))*-5. Let d(z) = -z - 1. Determine s*n(a) + 2*d(a).\nAnswer: 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -68 + r**2 + 6*r - 70 + 118. Let c be f(7). Suppose 4*k - 37 = c. Calculate the remainder when k is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33610?\nAnswer: 2, 5, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 5) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.258 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113372 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2390*g - 348 + 1048 - 353 - 347 to the form u + z*g and give z.\nAnswer: 2390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z = -26*z - 4*u + 47, -51 = -17*u for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392*v + 37604 + 29275 - 23823 = 804*v for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - s - 1. Let n(g) = -5*g**2 - 4*g - 2. Let w(k) = n(k) - 4*v(k). Let f(x) = -9*x**2 + 21. Give -2*f(b) + 21*w(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 451\/6314 - (-209)\/14. Solve -5*x + 22*b - 26*b + a = 0, 0 = -3*b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88427602 - 5?\nAnswer: -88427607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 50*i - 51*i = 10, -3*i = -2*x + 4. Let v = -5 + 10. Let 38 + m**v + x*m**2 - 2*m**4 - 38 - m = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336\/960 + 2 + 16\/(-10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 77 = 3*p, 2*p = -1 + 3. Suppose -2*a - 2*f - 2*f + 274 = 0, -j = -4*f. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -348071, -696134, -1044197?\nAnswer: -1392260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 9\/4*h**4 + 9\/4*h**3 + 0*h + 3\/4*h**2 + 3\/4*h**5 + 3. Factor f(y).\nAnswer: 3*y*(y + 1)**2*(5*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.88 + -5.11. Let m = -16 + 16.77. Let r = y - m. Which is smaller: 4\/11 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.111 in -2\/7, 0.4, 191?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 0*f = -5*f + 15, -u - f = -3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 751267 + -751266.99000038. Let u = c + -0.01. Round u to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 37312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - (31 + -24) - -24) + 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 37*h**5 + 5*h**4 + 5*h**3 + 64*h. Let q(g) = 18*g**5 + 3*g**4 + 3*g**3 + 32*g. Let x(v) = -5*q(v) + 3*s(v). Find the second derivative of x(d) wrt d.\nAnswer: 420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 4, -4\/7, 2430, -3, -1\/10, 1.23?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41134 less than 41131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itt when three letters picked without replacement from ttttttitttittttttt?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(-k + 3 - 3)*(-2118 + 1353 - 1703)*(2 - 2 + 2*k) in the form d*k + q + i*k**2 and give i.\nAnswer: -4936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.42 + 5.3. Let y = 0.799 - b. Round y to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 42. Solve -7 = -a*o + 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 26. Let i = u - 16. Calculate the greatest common factor of 10 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 3*j**2 - 4*j - 3. Let a(z) = 3*z - 1. Let n be a(1). Suppose n*g + 0 = 50. What is the remainder when g is divided by s(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/7))**(-10\/7)*(f\/f**(-10))\/f**(-26))**(1\/25) assuming f is positive.\nAnswer: f**(1723\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-1))\/(4396\/157)*4\/10?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8299 (base 11) to base 13.\nAnswer: 5010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -324.63075 rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 14*i**2 - 3*i + 2. Let g be z(2). Let s = 10 + -7. Suppose s*p - 124 = 110. What is the greatest common factor of p and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115313166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 5*o**3\/6 - 5*o**2\/2 + 21*o. Let v be m(2). Solve 0*g = g - v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*b + 14628 = 0, -1 - 9 = -5*b. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffzffffzzfzfzzzm. What is prob of picking 1 z and 1 m?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 4 + -4 + -8 - 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 11*j**3 + 3*j**2 + 4*j + 3. Let l(q) = -23*q**3 - 7*q**2 - 9*q - 7. Suppose 8*u = -23 - 1. What is u*l(n) - 7*t(n)?\nAnswer: -8*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2 + -2 + 9) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.49, 6, -1\/2, -2, 3, -14, 26 in descending order.\nAnswer: 26, 6, 3, -0.49, -1\/2, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -136, -241, -346?\n\"Answer: -105*j - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.385463 micrograms?\nAnswer: 0.006385463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 496965, 496980, 497005, 497046, 497109, 497200, 497325, 497490?\n\"Answer: r**3 - r**2 + 11*r + 496954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 51, 58, 55, 42, 19, -14?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-1)\/(6*(-5)\/(-120))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-35 + -19 - -23) - -23\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-2 - 3*n + 3*n + 3*n).\nAnswer: -6*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -126, 11, -1, -75, -3.\nAnswer: -126, -75, -3, -1, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29271 is divided by 238?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**4 + 2830*l**3 + 397605*l**2 - 803720*l + 403280 = 0?\nAnswer: -284, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 974.00391 - 974. Round z to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8419, -45, -2 in decreasing order.\nAnswer: 8419, -2, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-2) + 2)*0. Suppose 3*x + 8 = -7, l = 4*f - 5*x - 29. Let q be (-9)\/(-2) - (f + -4). Which is bigger: q or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 387 + -353. Let u be 57*((-1)\/(-3))\/(34\/t). Let z(g) = 3*g + 1. Let k be z(6). Calculate the greatest common divisor of u and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 19, k: 1}?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/424368 and 93\/10.\nAnswer: 2121840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -100100101?\nAnswer: -100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (0 - 3) - -8) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 165, 3, 1, 109 in increasing order.\nAnswer: 1, 3, 109, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -942*f = 916*f + 4089*f - 60540 + 155692 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6736574 is divided by 777?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.2 (c) -2\/55 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 + 0.02. Let w = h + -0.15. Let s = -239\/63 + 38\/9. Sort 0.1, s, w in increasing order.\nAnswer: w, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.45 - 0.45. Let f = 1\/152 - -295\/1368. Which is the closest to k? (a) f (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m. Let a(q) be the third derivative of -5\/8*q**4 + 0 + 0*q**3 - 43*q**2 + 0*q. Calculate a(y(b)).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5 + (sqrt(343) - sqrt(343)*-2)*5)*-3)**2.\nAnswer: 9450*sqrt(7) + 694803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1256801 and -0.3.\nAnswer: -377040.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.23 - -0.22962. Round d to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/4*-2*(-23)\/(-345).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 2:50 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -1, -3, 5, 1180 in increasing order.\nAnswer: -4, -3, -1, 3, 5, 1180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -22906839277?\nAnswer: -22906839280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -1\/6*s**4 + 0*s**3 - 3\/2*s**2 + 0 - 9*s. What is the derivative of i(z) wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - c**3 - 8*c**3)*(-17 + 6*c - 4*c + 24).\nAnswer: -16*c**4 - 56*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.65 * -22.\nAnswer: 36.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 172 in -65, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 8731\nAnswer: -96041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v**3 - 8*v**3 + v**3)*(23 + 17 - 17) as l*v**3 + o*v**2 + k + s*v and give l.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 109016, 109032, 109048, 109064, 109080?\n\"Answer: 16*q + 109000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n = 246920 + 232355. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/(-540)*9\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/3 + 4*t**3 - 14*t**2\/3.\nAnswer: 2*t**2*(t - 1)*(t + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 173209617767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4561300 rounded to the nearest one hundred thousand?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 954 and 9.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**3 + 1560*y**2\/7 - 3072*y - 896 = 0?\nAnswer: -2\/7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*g + 5, 2*d + d - 3*g + 27 = 0. Let m(v) = v**2 + v**3 + 0*v**2 - 4*v - 4*v**2. Let u be m(4). Sort u, d, -4 in decreasing order.\nAnswer: u, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x. Let a be p(1). Suppose a*z - 7 = w - 2*w, 5*z + 3*w = 1. Suppose -9 = -3*c - 0*n + 3*n, 0 = 5*c + z*n - 29. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.269488 - 5.4511. Let t = -163.182 - -163. Let f = t - x. What is f rounded to 5 decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 4, n: 3}. What is prob of picking 3 n?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 9, 5, -5 in increasing order.\nAnswer: -13, -5, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1 + (3 - 1 - 5)*(-2 + 2 - 1))*(2*o - 6*o - 5*o).\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/9 + 40432*r**4\/9 - 94400*r**3\/3 - 175252*r**2 + 283182*r + 1213380 = 0. Calculate r.\nAnswer: -20223, -3, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a + 1. Let q(x) = -x**2 + 2*x - 2. Let z be q(2). Let c be ((-3)\/z)\/(3\/4). Is n(c) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 750429056*g**3 + 124316*g + 1771 wrt g.\nAnswer: 4502574336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 679 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p - 5. What is the remainder when k(8) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20689 and 4033811?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43652 + -14688. List the prime factors of b.\nAnswer: 2, 13, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -79\/5. Which is the nearest to 0.03? (a) h (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*w - 44093 = 0, -y + 8*w - 4*w = -22042. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**5\/3 + 14*x**3\/3 + 4*x**2\/3 - 8*x - 16\/3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5\/5 - 1274*v**4\/5 - 33426*v**3\/5 - 297918*v**2\/5 - 177876*v = 0. What is v?\nAnswer: -610, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3017.698 hours in seconds?\nAnswer: 10863712.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 4*d**2 + 4*d - 5*d - 17*d**2 in the form z*d**2 + x + t*d and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 50\/5*(-9 + 8) - 7\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 - -52 - (1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-6\/11)))\/t**(-3\/2) assuming t is positive.\nAnswer: t**(21\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.164451 weeks to minutes.\nAnswer: 41977.66608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 434 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33652255?\nAnswer: 5, 7, 13, 73961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/4)\/j)**(1\/15)\/(j**(-11)*j**(-6\/7)) assuming j is positive.\nAnswer: j**(4931\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g**2 - 11*g**2 - 10234 - 11*g**2.\nAnswer: g**2 - 10234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 0 + 1 + -1*(-2*sqrt(2299) - sqrt(2299) - sqrt(2299)) + 1)**2.\nAnswer: 220*sqrt(19) + 57479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -113559, -113544, -113529?\n\"Answer: 15*i - 113574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-126)\/756*7\/((-49)\/6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37816385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -328841.766 - 6042.\nAnswer: -334883.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 176 + -175.4. What is the third biggest value in -13, 5, 1, 2\/9, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 76, -6.3, 35?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**6\/135 - h**5\/90 + h**4\/54 + h**3\/27 + 528*h. Factor g(u).\nAnswer: -2*u*(u - 1)*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -i + 34, 4*i - 206 = -0*x - 2*x. Let f = i + -46. Let q be 3\/4*(5 - -3). Is q >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, a: 1, c: 1, h: 7, n: 1}. What is prob of picking 3 h?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1208, -1272, -1370, -1496, -1644, -1808?\n\"Answer: c**3 - 23*c**2 - 2*c - 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, -9\/2548.\nAnswer: -4, -9\/2548, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -f + 1 + 5, 5*m - 2*f - 6 = 0. Let u = -2 + 2. Suppose u = -h + 5*h. Sort h, -1, m in increasing order.\nAnswer: -1, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - f + 4. Let u be b(0). Suppose 19 = -q - 4*s, -3*s + 7 = -q - 4*s. Sort u, 7, q in descending order.\nAnswer: 7, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2107 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1361 + -1362. Let m be 0\/2 + (-6)\/10. Which is the third biggest value? (a) -1\/4 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13511 - -55831. Let k = h + -42322.60028. Let g = k - -2.6. Round g to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.063689 - -0.06. Round g to four decimal places.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 16*n + 4. Calculate l(17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + ((-50880)\/228)\/(-16)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/9)\/(y**(2\/17)\/y))\/(y\/(y\/(y*(y\/y**(-4))\/y*y))*y*y\/(y**(-1\/9)*y*y)) assuming y is positive.\nAnswer: y**(-817\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/(((-27)\/6)\/(-3)). What is the nearest to -2 in 0, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16224 and 187590?\nAnswer: 3001440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*q = q - 5, -4*d + q + 3 = 0. Let x(h) = 2*h**2 + 2 - h**d - h - 5 - 12*h**3 + h**2. What is the tens digit of x(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*h - 11*h + 28*h + (h - 5*h + 3*h)*(14 + 14 + 15).\nAnswer: -46*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382882839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-1))\/7*(-5)\/((-30)\/8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31379943.\nAnswer: 3, 7, 17, 29, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 21 = -2*f. Let q = f - 169\/8. Suppose 14 = o - 3*p, -5*p + 0 = -3*o + 30. Which is the smallest value? (a) q (b) o (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 112?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*x + 299, -2*x + 4*x = -2*n + 148. Let y be (-103)\/2 - (-4)\/8. Let a = y + x. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + (sqrt(140)\/(sqrt(20)\/sqrt(4)))\/(sqrt(576) + sqrt(576)*2)))**2.\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - -320132?\nAnswer: 320103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -589*m**3 + 2*m**2 - 2*m + 2. Let v(j) = -1571450*j**3 + 5337*j**2 - 5337*j + 5337. Determine -10674*k(t) + 4*v(t).\nAnswer: 1186*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/108015?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -31*i - 942. Let w(y) = -11*y - 313. Determine 6*h(q) - 17*w(q).\nAnswer: q - 331","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrqkkkk. What is prob of picking 1 q and 3 k?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Let r(u) = -u**3 - 5*u**2 - 155*u - 1180. What is r(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 270, 815, 1360, 1905?\n\"Answer: 545*r - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + l + 1 + 5 = 0, -z + l - 2 = 0. Suppose 0 = z*c, 6*c - 4*c - 16 = -m. What is the least common multiple of m and 68?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/10*(-50)\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/29, -0.2, -5, 1\/3, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 2 - (40 - (95 - 10))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5960*3.\nAnswer: 17880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -293?\nAnswer: -293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 667184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2572, 2565, 2554, 2539, 2520?\n\"Answer: -2*u**2 - u + 2575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2*w**2)*(4*w - 12 + 12) - 7*w**3 + 8*w**3 + 10*w**3)*(-4*w + 2*w + 0*w).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 315 = 2*i + 73, -3*o = i + 154. Is -154\/3 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*w - 5*w - w - 3 = 33, 6*q + 54 = 23*w for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33.04 - 0.04. Let m = y + -32.999987. What is m rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67.13 - 67. Which is the third smallest value? (a) -0.1 (b) -2\/9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29 (b) -3 (c) 0.03 (d) -2011 (e) -1\/5 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 7*n**2 - 7*n + 1. Calculate h(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 26*g**3\/3 - g**2 + g - 10. Let i be h(1). Let b = -13 + i. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -76, -158, -298, -496, -752, -1066, -1438?\n\"Answer: -29*u**2 + 5*u - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8 - 10 = -4*j, 4*j + 4*w = 20. Suppose -38 - 46 = -j*v. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -318 - -729. Let y = l + -410.999789. What is y rounded to 5 decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -525061?\nAnswer: 2100244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p. Let i be c(0). Let o be (-78)\/(-52)*(-2 + i\/2). Let m(z) be the second derivative of 2*z**3\/3 + z**2 + 2*z. What is m(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.18278 + 8.86422. Let w = x + -9. Let h = w + -0.0469939. What is h rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5216776939?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 32*p + 54.\nAnswer: -32*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 81*k + 1042. What is u(-92)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*o**3 + 5*o**3 - 3*o**3)*(0*o - 4*o + 3*o) - 18*o + 18*o + o**4 - 6*o**4 + o**4 + 3*o**4 as a + r*o + f*o**4 + n*o**3 + d*o**2 and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, v: 4, c: 2, m: 1, s: 3}. Give prob of picking 1 m and 1 c.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -11 (c) 0.5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*l + 81*l - 210. Let x = 45 + l. Suppose -x*h = 5*j - 0*h - 743, -588 = -4*j + 4*h. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 589.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 127062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqffwfqf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 - i**4 + 2*i**4)*(6*i + 0*i - 4*i) + i**4 + 178 + 6*i**5 - 178 - 3*i**3.\nAnswer: 8*i**5 + i**4 - 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) - sqrt(1700)*1) + -2)**2 + 0)*-3 + (-6*(sqrt(272)*-2 + -4 + -4))**2.\nAnswer: 4608*sqrt(17) + 41460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15. Let t(o) = -o. Calculate c(q) - 2*t(q).\nAnswer: 2*q + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180991920 - 1.04.\nAnswer: 180991918.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011419 rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -386.1.\nAnswer: -7.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 65560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 0*b + 2\/7*b**4 + 0*b**2 + 4 - 4\/21*b**3. Determine l so that v(l) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3)*v)**(-4\/11)*(((v*v**(-1\/4))\/v)\/v*v)**(1\/37))\/(v\/v**(-4)*(v**(-3\/5)*v)\/v*v**(-2\/3)*v*v**5) assuming v is positive.\nAnswer: v**(-243773\/24420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52\/7 or 49041?\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 4*d + 2*d)*(0*d + 3*d + 14*d) + (-4 + 4 - d)*(0*d + d + 0*d) - d**2 + d**2 - d**2.\nAnswer: -53*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**3 + 117*j**2 - 339*j + 401. Give u(36).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*f + 227*f - 40 = 0. Let m(y) = -3*y**2 + 3*y - 3. Let t be m(-2). Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -5, 39, -10463 in increasing order.\nAnswer: -10463, -5, 39, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, c: 2, k: 1, e: 1, o: 3}. What is prob of picking 1 k and 1 o?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)\/(sqrt(300)*-5))\/(sqrt(16)*-6*2))**2.\nAnswer: 7\/360000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*i**3 - h**2*i**2 - 14826*h**2*i + 12*h**2 - 369*h*i**3 + 4013*h*i**2 wrt h?\nAnswer: 4*i**3 - 2*i**2 - 29652*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 222507079 greater than or equal to 222507080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -674 divided by -1009\nAnswer: 674\/1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320898, -642311, -963746, -1285209, -1606706?\nAnswer: -1928243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13 + 340*t - 336*t + 4 - 112*t**3 wrt t.\nAnswer: -672*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.182\nAnswer: 0.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -916 + 911. Which is the nearest to 1\/4? (a) 1\/11 (b) 0.3 (c) 0.1 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 441 - 302. Suppose 5*t + 2*g = 627, -g - a = -t + 2*g. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -826464 < -826561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 36. Determine w(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7356\/(-2160) + (-224)\/(-63)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -1. Let l(u) = -u**3 + 5*u**2 - 5. Calculate the lowest common multiple of g and l(4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/8 of a meter?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.068\nAnswer: -0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1125*d - 85 + 46 + 39 as w*d + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/7)\/(7195\/11512)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 9*o**2 - 12*o - 15. What is the remainder when 255 is divided by b(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4899681 and 1378737.\nAnswer: 4491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 12922 = 4*v - 27256, 5*v = k + 50180. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*q - 3*j - 873, -3*j + 1471 = 5*q. Round q to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - x = 5 - 113, -12 = 4*x. Let u(p) = -37 - p - p + y. Let k(z) be the second derivative of z**4\/12 + 2*z. Determine u(k(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*p + 4\/7*p**2 + 0 - 2\/7*p**3.\nAnswer: -2*p*(p - 3)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from ccxcccx.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -1\/4*y**4 + 1\/3*y**3 - 4*y + 3 + 2*y**2. Find f such that s(f) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 1. Let x(a) = 3*a + 2. Let n(l) = -2*q(l) - x(l). Let s(j) = -11*j. Determine s(n(f)).\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 101100110111111101110 (base 2) to base 15\nAnswer: 1e0a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 2*o**2 + 2*o + 2. Let w be k(3). Let j = 5 - 2. Let u(n) = -n - 2 + 0 - n**2 + j*n. Let x(c) = c**2 - c + 1. What is w*u(v) - 2*x(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11003\/19 - 579. Let s = 7.2 - 7. Put s, 3, 4\/5, v in increasing order.\nAnswer: v, s, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139668817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 7500243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5506*o - 93609. Calculate n(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -49749 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/242642 and -33\/40.\nAnswer: 4852840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 145924632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (42\/12)\/(2\/4). Let y(o) = 3*o + 27. Let h(c) = -2*c - 14. Let p(q) = 5*h(q) + 3*y(q). Let x be p(m). Sort 5, x, 3 in ascending order.\nAnswer: 3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268300049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 57\/18)\/(12\/360). Sort 1, y, -8 in decreasing order.\nAnswer: y, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80a (base 13) in base 4?\nAnswer: -111102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:21 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137974.694 rounded to the nearest one thousand?\nAnswer: -1138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + 3*y**3 - 3*y**3 + (-y**3 - 3*y**3 + 2*y**3)*(2 - 1 - 3) + 147*y**3 - 37*y**3 + 21*y**3.\nAnswer: 134*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67113 and 10?\nAnswer: 671130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7064 and 16575869.\nAnswer: 16568805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301097 is divided by 301069?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12818 and 1802?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42881598 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 270421 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -426, 2, -3, -270?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, c: 1, u: 2, d: 1, s: 1, j: 2}. What is prob of sequence ll?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7*v = -3*v - 20, -3*v - 6 = 3*o. Let r be o\/(-2) + 2 - -164. Suppose 2*y - 6*y = -r. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62.5? (a) -60 (b) 11\/3 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 2:53 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -2002202012210111?\nAnswer: -2002202012210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 144, 222, 302, 384, 468, 554?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211102022212 - -2101211?\nAnswer: -211022221001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -15*v - 5. Let s(d) = -29*d - 12. Determine -2*s(u) + 5*t(u).\nAnswer: -17*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4743 = -1403*n - 7884. Let a(k) = -k - 13. Let c(i) = 6 + 6 + 2*i - i. Let u(f) = 5*a(f) + 6*c(f). What is u(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/1 - (-1 + 3). Let u(o) = o**3 - 2*o + 3. Let q be u(x). Suppose 0*f = 3*f - q. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 398026*j**2*k**2 + j**2*k - j**2 - j*k - 4*k**3 + 732831 wrt k.\nAnswer: 796052*j**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 106*h - 4. Let q be b(2). Let l be 10\/(-65) - (-266)\/q. Let z = l - -3\/8. Sort -9, z, 0.3, 0 in descending order.\nAnswer: z, 0.3, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 24 = 4*h, -h + 0*h - 5*g = -23. Suppose 2*y = 3*y - 3. Calculate the highest common divisor of y and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -144175*m**2 - 3*m + 10. Let s be n(-9). Let i = -2178138 - s. What is i rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 66180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - c - 15, 0 = -j + c - 0*c - 1. Let v(g) = -g**3 + 5*g**2 + g + 3. List the prime factors of v(j).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v - 2*v - v**2 + 8*v to the form a + h*v**2 + u*v and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0 - (7 - (1 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2.9. Let i = 68\/65 - 24\/13. Let y be (48\/(-20))\/(-6) - (-32)\/(-60). Which is the closest to m? (a) y (b) -1\/9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -21*b - 79*b + 103*b. Let d(h) = 249*h - 1. Give d(k(r)).\nAnswer: 747*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 - 100. What is the third derivative of -54*p**6 - 11*p**6 + m*p + 6*p**2 + 14*p**6 wrt p?\nAnswer: -6120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5 - 6*w**4 + 96*w**3 + 32*w**2 - 768*w = 0. Calculate w.\nAnswer: -8, -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-243)\/432*((-16)\/(-60))\/1.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36713, -73481, -110245, -147005?\n\"Answer: 2*q**2 - 36774*q + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4059 divided by 1.\nAnswer: -4059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -2*b**3\/3 + 2*b. Let x(q) = q**2 - 7*q + 5. Let s be x(7). Suppose 5*w + 6 + 3 = -i, -5 = s*i + 5*w. Calculate p(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -0.2\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 2, g: 1, u: 1}. What is prob of picking 1 n and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 5*k + 0*k)*(2 - 2 - 11*k**3)*(-2*k - 2*k + 5*k).\nAnswer: 11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 60 = 4*i, 10 + 17 = 4*d - i. Let h(s) = -2*s**2 + 8*s. Let q(g) = -g**2 + 3*g. Give d*q(z) - 3*h(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2846, -0.06, -2\/17 in descending order.\nAnswer: 2846, -0.06, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2. Let c(x) = x + 7. Let k be c(-8). Let j be f(k). Suppose -4*h - j = -u - 0*u, -h - 5*u + 5 = 0. Put 3, h, 2 in descending order.\nAnswer: 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2 + sqrt(5))*-5)**2.\nAnswer: 100*sqrt(5) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0009492 nanograms?\nAnswer: 0.0000000000009492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/51228 and -61\/46947616.\nAnswer: 422528544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (9 - (7 + 0 + 10 + -13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643 is divided by 57.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 1. Let t(f) = -6*f - 10. Let o(w) = 20*k(w) - 2*t(w). Let h(u) = -u**3 - 3*u**2 + 10*u - 2. Let s be h(-5). Give o(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/(-28)*4*1. Sort -3, f, 2 in ascending order.\nAnswer: -3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8863*r + 363388. Calculate a(41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47756 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42202834 to the power of 1\/2, to the nearest integer?\nAnswer: 6496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007116891 rounded to 6 decimal places?\nAnswer: 0.000712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1900))**2 + 1 - (sqrt(1900) - sqrt(1900)*4*4)**2) + -1 + (4*(sqrt(1900) - (3*sqrt(1900) - sqrt(1900)) - sqrt(1900)))**2*4.\nAnswer: 66500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {v: 5, f: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdfh when four letters picked without replacement from hhfddf.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7886232.9999971 - -7886211. Let f = 22.04 - 0.04. Let q = m + f. What is q rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 24 = -11*v. Suppose -v = -2*m - m. Solve -m*n = 4, -2*u - 2*u = 2*n - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -9*o + 4. Factor 18*d**4 + 44*d**3 + d**2 - 9*d**2 - 18*d**o - 36*d**4.\nAnswer: -4*d**2*(d - 1)*(9*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 322 + -147. Let y be (4\/(-10))\/((-5)\/v). Let b(t) = -t**2 + 18*t - 8. Let o be b(y). Calculate the highest common factor of 24 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence siw when three letters picked without replacement from {l: 2, i: 2, s: 1, w: 4, v: 1, f: 7}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26537477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-18) - (-56159970)\/(-135). Round j to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2120 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4263103871.\nAnswer: 13, 327931067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 9 + 18 = 0. Let j(n) be the second derivative of -7*n**3 + 4*n**2 + 2*n. What are the prime factors of j(h)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 12:39 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*m + 14543 = 5*j, -j + 3640 = 5*m. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {o: 1, b: 1, c: 1, y: 5, p: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*u + 1 = 2*u, 0 = j - 5*u - 23. Solve -j*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/3337 - 60077\/36707. What is the second smallest value in 6, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2536 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 457 + -0.47.\nAnswer: 456.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 23032*s + 15247183. Determine a(-662).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*v - 2 = 8*v, 0 = 2*t - v - 11. Solve 0*d + 2*o = -3*d - 17, 5*o + 25 = -t*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 2)*(0 + 1 - 2) - 2 + 1 + 3 + 1 + 0 - 3)*(v + 3*v**2 + 2 + 0*v**2 - 6*v**2).\nAnswer: 3*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9835 + -7.0165. Which is the closest to -6\/13? (a) 2\/33 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f - 0*f. Let n be (8\/(-12))\/(f\/12). What is the units digit of (-30)\/(-7) + n\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -228*g - 281*g + 3*g + 11638 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Suppose -9*l + 54*l = 135. Solve -5*f - r*n + 18 = 0, f - 5 = n - l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 2 + (59 - 40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -2\/3, 117?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775063?\nAnswer: 775063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.59 times -26\nAnswer: 15.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5726 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 65023 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202020 - -31032?\nAnswer: 233112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 1, y: 1, u: 2, q: 2}. Give prob of picking 1 k and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 12 = -2*p, 2*p - 8 = -2*g + 5*g. Let k(h) = -39*h + 1. Let y be k(p). Let l = 328 - y. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.3, -7, -2, 0 in descending order.\nAnswer: 7, 0, -0.3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5 = q - h, -5*h - 5 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z = 24. Let n be (-32)\/36 - 4\/z. Let j = -8 - -8. Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*w**2*z - 4*w**2 - 3*z + 11 with respect to z.\nAnswer: -15*w**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 7*m + 5*j + 23 = 0, -m + 14*j - 17 = -55 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = w + q + 2*q, 0 = -4*q + 12. Let b = -3 - w. Let x = -108431\/7 + 15489. Is x greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 2*(-1)\/1. What is the third derivative of -z**2 - 6*z**2 + v*z**2 + z**2 + 3*z**5 wrt z?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-165)\/(-6)*(-302)\/1510.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -85*j**2 - 28*j + 10. Let a(m) = -156*m**2 - 56*m + 18. Let g(k) = 6*a(k) - 11*r(k). Determine g(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375359.6 nanoseconds to seconds.\nAnswer: 0.0003753596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 10:33 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-325) - (3064\/(-1680) - -2).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*k + 5*n, -3*k = n + 3*n - 15. Let d(j) = -j - 1 + k. Let b(t) = t**2 + t + 1. Let v be b(-2). Determine d(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40057938 a multiple of 359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 180\/27 + -5 - (0 - -1). Let m = -4.7 + -0.3. What is the second biggest value in -7, m, -2\/11, b?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-10))\/(2\/(-20)). Let g = 3 - v. Which is bigger: 0.3 or g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (1 + sqrt(612) + sqrt(612) - sqrt(612) - sqrt(612)))**2 - (3 + -1 + sqrt(612))**2) + 3 + -5.\nAnswer: -602 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 242 by -242.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 417322403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -21*h**2 - 20*h - 79. Let z be v(-11). What is the remainder when z\/(-3) + (8*-3)\/4 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 290 and 75199900.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9692297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -103*d**2 + 17*d - 2. Let f(n) = -207*n**2 + 31*n - 4. Give -5*b(j) + 3*f(j).\nAnswer: -106*j**2 + 8*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41173001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 612*g**2 + 4*g - 612.\nAnswer: -4*(g - 153)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 23*h**2 + 22*h - 8. Let a(y) = y**3 - 25*y**2 - 23*y + 11. Let z(s) = 2*a(s) + 3*w(s). What is z(20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 225 - 83. List the prime factors of v.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*p + 2. Suppose 0 = 8*n - 16*n. Suppose -35*w + 44*w = n. Solve w = 8*o - p*o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**7\/1960 + 3*k**6\/140 + 33*k**5\/280 + 2*k**4\/7 - 173*k**3\/3 + 124. Let b(g) be the third derivative of a(g). Factor b(c).\nAnswer: 3*(c + 1)**2*(c + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 3. Let r = -1 - -2. Let u be r + (s - 1 - -2). Solve 0 = -4*h - 3*m - 11, u*h + 7 = -2*h - m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -262 - -259.37. Let v = 0.63 + y. Let d = -1 + 2. Which is the closest to -0.1? (a) d (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/4)*p)**36 assuming p is positive.\nAnswer: p**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*f + 2*y, 0*f = 5*f - 3*y - 25 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*m**4 + (-2*m + 2*m - 2*m**4)*(-5 + 4 - 1) + (-5 + 3 + 1)*(2*m**4 - 6*m**4 + 2*m**4) + 0*m**3 + m**4 + 0*m**3 - 2*m**4 + 0*m**4 + 4*m**4.\nAnswer: 11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 32332132?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -11*x - 56, 3*x + 23 = -51*p + 50*p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1 - (-2 - 2 - (-21 + 20)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**2*n - 5*g**2 + 9155*g*n - g + 908090*n wrt g.\nAnswer: -4*g*n - 10*g + 9155*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 878265.9kg?\nAnswer: 878265900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4053856*o**3 + 22278544*o**2.\nAnswer: 24323136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.582 (b) -0.5 (c) 1487\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2*f**2 + 121*f**3 - 35*f**3 - 56*f**3 - 377*f - 37*f**3.\nAnswer: -7*f**3 - 2*f**2 - 377*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (758*x**3 - 763*x**3 + 15*x**2 - x**2)*(-15 + 5*x - 13 + 25) to z + p*x**2 + j*x**3 + f*x + o*x**4 and give j.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 8*u + 45. Let f be (9 + -4)*64\/(-20). What is the units digit of i(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 366, -5, 5, 3, -3 in decreasing order.\nAnswer: 366, 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/3774 and 145\/324564.\nAnswer: 324564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 204 + -35417?\nAnswer: -35213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**3 - 12*k**2 + 27*k + 12. Let z(l) = -l**2 + l + 1. Calculate a(c) - 12*z(c).\nAnswer: 3*c**3 + 15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.92*-0.18.\nAnswer: 0.1656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 88223.43 rounded to the nearest 10?\nAnswer: 88220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.2, 1\/2, 4, 0.02, -5 in ascending order.\nAnswer: -12.2, -5, 0.02, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006621161 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 170 + -175.04. Let m = 0.04 + g. Sort -0.8, -4, m in descending order.\nAnswer: -0.8, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1120 (base 3) to base 7\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6*f. Suppose 0 = -f*h - 3*h. Let n be (-6)\/(-5)*(84\/(-24) - -6). Solve h*p = -n*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3)\/((-2)\/12). Let l = -0.577 - 58.723. Let z = l - -59. Which is the third biggest value? (a) w (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -102, -354, -774, -1362?\n\"Answer: -84*a**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*f - 12*f - 3 + 1)*(4 - 6*f**2 - 4) to z + i*f + v*f**3 + c*f**2 and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzf when three letters picked without replacement from qqqqfinzqqqifzqqqqq?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 37.734. Let m = a + -0.26584. Round m to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 44 - 20*q)*(-4 + 18 - 3) + (q - q - q)*(3 - 3 + 2).\nAnswer: -222*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 88 = -5*j, -j - 3*g = 7 - 39. Let y(h) = h - 1. Let z(x) = 6328*x**2 - 12717*x**2 - 20 + 6379*x**2 + 20*x. Give j*y(u) - z(u).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30285, -30266, -30239, -30198, -30137?\n\"Answer: w**3 - 2*w**2 + 18*w - 30302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -101110?\nAnswer: -101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176509657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 10793012*t - 43172016.\nAnswer: -2*(t - 5396502)*(t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = 3. Suppose 2*y - f = 9. Suppose -50 = -3*n - 11. Calculate the remainder when n is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**6\/120 - 7*o**5\/60 + o**4\/4 + 3*o**2 + 2*o - 17. Let a(s) be the second derivative of g(s). Factor a(h).\nAnswer: h*(h - 6)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + m - 113702 + 1463705, -3*m - 9 = 0. Round r to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.3 (b) 1\/6 (c) 1\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4366640659 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -375*h + 1. List the prime factors of u(-2).\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 99035, 99066, 99117, 99188?\n\"Answer: 10*p**2 + p + 99024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -287431194 + 6*o**2 + 287431194 - 119*o to x*o + n + y*o**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 332*j**2 - 2*j + 9861 wrt j?\nAnswer: 664*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34 and -0.2.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*g + 3*m, -15*g + 5*m = -11*g - 15. Suppose 5*q = a - g - 47, -3*q = -a + 65. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1902 + 1023. Let w be ((-8)\/(-12))\/(5\/d). Suppose 8*i - w = 2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 519 and 33.\nAnswer: 5709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*n + 4. Let k be (3\/6)\/(n\/(-4)). Solve k = 5*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 1\/30*b**5 + 1\/24*b**4 + 0*b**3 + 0 - b**2 + 0*b. Find the second derivative of t(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 34. Suppose f*u + 66 = -78. Let l be 1\/(-4 + (-198)\/u). Solve -2*n + n - 7 = 2*v, 0 = v - 4*n + l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55940 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1572971 (base 10) to base 4.\nAnswer: -12000001223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/798 and 181\/2868558.\nAnswer: 54502602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/(-260))\/((189\/15)\/9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 - -1. Let j = 3.3 - 5.9. Let o = q - j. Round o to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 60. Suppose 0 = -q*p + 18 - 0. Which is the nearest to -1\/2? (a) -3 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdplc. Give prob of sequence dp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c**3 + 7*c**3 - 14*c**4 - 6*c + c**2 + 5*c to the form w + k*c**2 + o*c + y*c**3 + a*c**4 and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 331 - 454 - 36*s**2 + 206*s**2 wrt s.\nAnswer: 340*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3333112 (base 5) to base 15\nAnswer: -12522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -42*s + 1. Let o(k) = 23*k - 1. Let u(f) = -7*o(f) - 4*r(f). What is u(5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 - -71.9. Let k = p - 0.9. Suppose 0 = -u + 5*u + 20, -1 = -2*y - u. Which is the second smallest value? (a) -0.5 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 2\/15 (c) 0 (d) -244 (e) 5 (f) -0.16 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14382 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + n - 39 = 0, 0 = 2*m + 2*n - 53 + 15. Suppose -5*h + m = -3*h. Let x(z) = z + 2. What is the units digit of x(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1536 and 8400.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 70*w**2 - 3492*w + 321. Calculate z(50).\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 6. Let h be l(-6). Let b be ((-2)\/5)\/(6\/h). Let d be (0\/(b\/(-2)))\/2. Sort 3, d, -1 in descending order.\nAnswer: 3, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42057, 84088, 126119?\nAnswer: 168150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + ((1*sqrt(27)*-5)\/(sqrt(90)\/(sqrt(30)\/sqrt(3) + sqrt(10))))**2)*5 + -5.\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from wjjddwwd?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 1:47 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 2*d**2 - d + 4. Let z be l(3). Suppose -5*y + z*y - 15 = 0. Solve -6 = -x - y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6939 and 18504?\nAnswer: 55512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 9) to base 6.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -7.696, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**2 + 8*x**2 - 2*x**2 - 2*x**2.\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 17 - 101 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62274 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 278676816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 - 3*n + 8. Let a be b(-6). Let s = -2841 - -8659\/3. Let k = s + a. Is -0.053 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-3)\/(-2))*150. Let q be 2\/(-5) + 2335\/j. Let b = 11 + q. Sort 2\/7, b, -1 in ascending order.\nAnswer: -1, b, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = 105 + 1622. Let h = r + 1483. List the prime factors of h.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 72*n**2 + 5*n + 19. Is 15 a factor of l(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -11. Solve w - 2*w = x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-6) - 143259\/(-306). Calculate the greatest common divisor of 72 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/54 less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 6:13 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*a - 4 = 2*o, 4 = -o - 3*a. Let y be (5\/(-2) + o)*-12. Let w = 9 - y. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50580 - -96748. Round c to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 12:27 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*k - 141 = 59 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/22*20\/(-65). Which is the nearest to -1\/19? (a) g (b) -11 (c) 1 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 7*j**2 - 5*j - 8. Let s be r(8). Suppose 3*g = -f + 31, -g + 4*f = g - s. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 11 - (22 - 24). Let y(o) = -o**2 - 8*o + 20. Is y(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 2. Let y be -3*6*4\/(-12). Let m be h(y). Which is the closest to m? (a) -4\/7 (b) -0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -7*f + 277. Let m(o) = -1494*o - 12 + 1504*o + f - o**2. What is m(12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c - -c7?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -342, -2, -4, -655 in descending order.\nAnswer: -2, -4, -342, -655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17772 and 4836.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -13*b. Let z(l) = -2*l**2 - 3. Let w(g) = g**2 + 1. Let d(y) = 6*w(y) + 2*z(y). Give d(a(x)).\nAnswer: 338*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/31)*g)\/g*((g*g\/(g**(-2\/3)*g)*g)\/g)\/g)\/((g\/(g*g*g**15*g)*g)\/g*g\/g**(2\/23)) assuming g is positive.\nAnswer: g**(35974\/2139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 1:00 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3 + 5. Suppose i = b - 0. Solve -7 + b = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*m - 0*m. Let u = m + 12. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -19\/12400891?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 8. Let b be j(10). Suppose 13 + 1 = b*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2163 and 309.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 118*t**2 - 277*t - 19. Is s(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**5*y*y**(-2\/5)*y)**(-15) assuming y is positive.\nAnswer: y**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 20*d**2 + 60*d + 5. Give w(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -349*-50.\nAnswer: 17450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 35 - (-24 - -4) - -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 9:05 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -167.54 - -2.54. Let j = 165 + d. Which is bigger: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 3451?\nAnswer: 3459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 5*w - 3. Let c be x(-6). Factor 6*u**c - 3*u**4 - 14*u**3 + 9 + 8*u**3 + 18*u**2 + 24*u.\nAnswer: -3*(u - 3)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16657603 to the power of 1\/2, to the nearest integer?\nAnswer: 4081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30578317 divided by -4368331\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -180c?\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76776\/70*(176\/12 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1212 and 864.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 + -0.06. Let o = -0.02 - s. Which is smaller: o or -0.05?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 14 = -2*d, i = -2*d + 4*i + 18. Suppose 0 = p + 4*p - d. Suppose p*v = -v + 136. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 108 = 3*x. Let r be x\/(-18)*(0 + 14). Let q(p) = -p**2 - 9*p - 10. Determine q(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 + -14. Suppose 3*f - o = -f. Suppose c = -4*r + f, -4*r - 37 = -7*c + 4*c. What is the remainder when 28 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 - 124.2. Round b to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and 1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*t - 116800, -p - 3*t + 7227 = -16133. Suppose -8*x + p = -63048. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 44879.8 meters?\nAnswer: 44.8798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -637 + 900. Suppose 4*p - 346 = -31*c + 33*c, -2*p + 183 = c. Calculate the remainder when k is divided by p.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 6*j**2 - 5*j + 3. Let h be p(-5). Suppose -8 = -c + 5*n, -4 = 4*c + 3*n - 13. Factor -64*d - 6*d**c + h*d**2 + 64*d.\nAnswer: -3*d**2*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**3 + 4*b**2 + 6*b + 2. Let a(i) = -i**3 + i**2 + i. Suppose -6*m - 9 = -33. Let l(h) = h - 6. Let w be l(5). Give m*a(r) + w*c(r).\nAnswer: -r**3 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 22, -0.1, -1, 0, 2\/144801?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + 9 - 972*i**3 - 6*i**2 + 1928*i**3 - 974*i**3 to the form k*i**2 + n*i**3 + z + s*i and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j**2 + 14*j**4 - 10*j**4 - 5*j**3 - 3 - 2*j - 11*j**4 - 9*j**2 in the form m*j**4 + p*j**2 + d*j + i*j**3 + o and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 319001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.22*149162\nAnswer: -32815.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 157, 319, 535, 799, 1105?\nAnswer: 1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -18*o - 36 - 20 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-52) + 5\/20?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/126 - 4 - 4\/2. Let j = 50\/7 + x. Calculate the common denominator of j and -32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooyyyyyoyyoo. What is prob of picking 1 y and 3 o?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1174 = -4*t - 5542. Let g = -761 - t. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(8\/(-6)) - 3. Let h be 8 + 6\/(x - -2). Let k be -2*(-6 + 0\/2). Solve -5*r - h = 9, 5*r + k = 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 + 3*x**2 + 5*x - 3. Let s be y(7). Round s to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 23*c - 466. Determine h(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, 0, 0.2, 14, 3 in decreasing order.\nAnswer: 14, 3, 0.4, 0.2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1057 is divided by 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -11*m**3 + 5*m**2 + 9*m. Let d(l) = -11*l**3 + 4*l**2 + 9*l. Let q(y) = -5*d(y) + 4*f(y). Find the second derivative of q(s) wrt s.\nAnswer: 66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 30 + -33 - 22.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m + m - 174 - 3 - 4*m - 199 in the form u + h*m and give u.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 971 - 972. Which is the fourth biggest value? (a) -2\/3 (b) g (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 + 85. Let k be (0 + f)*(-1 - (1 - 26)). What is the second biggest value in -4, 2, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 83 and 6?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5 - 15. Let o = k - -10. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 10. Let a(x) = 5*x + 5. Let s be a(10). Suppose 9*l = 5*y + 4*l + s, -3*l = -y - 15. Determine d(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**4 - 40*z**3 + 178*z**2 + 2152*z + 1935 = 0.\nAnswer: -43, -5, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13125385943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 4 (c) 7 (d) 2166 (e) 1\/2 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*(-90)\/(-167670)*92?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**3 - 64*a**2 + 43*a - 81. Let v(r) = -3*r**3 + 43*r**2 - 28*r + 54. Let j(t) = -7*v(t) - 5*x(t). Calculate j(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h - h)*(-1279*h + 355*h - 1176*h).\nAnswer: 2100*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 17010540*f + 17010535.\nAnswer: 5*(f - 3402107)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1954940 divided by 390988.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5\/7 - 3*z**3\/7 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from zbzzzztzzbbbbb.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 2. Let o(y) = 22*y + 7. Determine -4*j(u) + o(u).\nAnswer: 26*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - s = -4, 3*p + 0*s = s + 11. Let k = p - -12. Let i(u) = -6*u**3 - u**2 + 2*u + 1. What is the remainder when k is divided by i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f + 7*f - 4*f - 5*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15852.3 + 15853. Put -0.11, -0.8, 0, f, 5 in decreasing order.\nAnswer: 5, f, 0, -0.11, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 9:27 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (54 - (-27 + 16))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15, 44, 73, 102, 131?\n\"Answer: 29*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + 24. Let b = 688 - 723. Let l = x + b. What is the closest to l in 1\/2, 0.02, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-1 + 2)) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.606367489 to 4 decimal places.\nAnswer: 0.6064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**5\/390 + 53*p**4\/156 - 4*p**3\/3 + 35*p**2 - 3. Factor a(x).\nAnswer: -2*(x - 52)*(x - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.95 + -0.05. Let g = 0.065 + 0.235. Is h bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45*(2 - 4\/3). Let b = 5 + -2. Suppose b*d = 3 + 222. What is the highest common divisor of d and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 6*k**2 - 20 + 4210*k - 2105*k + k**3 - 2116*k. What is s(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88630072.\nAnswer: 2, 61, 181619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 289 and 11182277.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 9) to base 15\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 8, a: 1, q: 9}. What is prob of picking 1 w and 1 d?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0 = -6. Suppose u + 2*q = -7, -u + 0 - r = q. Suppose u*g - 8*g = s + 8, 4*g = -8. Solve 9 = -m - s*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 394.1 + -455.1. Let v = -0.01 + 2.01. Put m, -4, v, 0.2 in increasing order.\nAnswer: m, -4, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*sqrt(2) - sqrt(2))**2)*1 - (sqrt(1200) - -2*sqrt(1200))\/sqrt(6).\nAnswer: -30*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71545194197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnxx when four letters picked without replacement from {n: 1, x: 7, b: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3082693 is divided by 3922.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1685?\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Let o be u*(-1)\/(-9)*12. Suppose o = 5*k - 4*k. Calculate the lowest common multiple of k and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1750.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 - 83 = 5*m - 2*g, 20 = -m + 5*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 32175 and -1\/82 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -16. Suppose 0 = 6*v - o - 0. What is the greatest common factor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 5*s**2 - 3*s - 11. Let b be c(6). Suppose -3*k + 372 = -2*l, b*k + 2*l - 384 = 4*k. Calculate the highest common divisor of 210 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**6*b*b)\/b**(-13))\/(b**3)**(-7))**(3\/38) assuming b is positive.\nAnswer: b**(63\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -28\/6535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 7*d + 3. Let c be r(3). Let t be (1\/c)\/((-14)\/(-385)). Are t and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-5))\/((-12)\/(-630)). Suppose 2*j - f = -j. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three sixteenths of a minute?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - g - 2)*(-3*g - 1 + 1) + (754 + 138*g**2 - 754)*(-5 + 4 + 2).\nAnswer: 141*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 294 - 240 = -18*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-17)\/w**20)\/(w**(-25\/3))**(9\/8) assuming w is positive.\nAnswer: w**(-221\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3 - 76\/30) + 3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 4)*(-3 + 1). Sort 1, 4, x in descending order.\nAnswer: 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 1 - 5. Suppose 24 = l*c - 8. Let b = c + -10. Let q(h) = -h**3 + 6*h**2 - h + 6. Give q(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 1862\/6517 - (-33316)\/14?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 1\/66 (b) 2\/17 (c) 8 (d) -0.014\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -6. Suppose -14*w + 10*w = -28. Solve 4*m = -3*z + 1, 0 = d*m + w*z - 2*z + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*n + 56 = -84*n. Calculate the remainder when n is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 333 - -141. Suppose 2*f = -3*s + p, -f - 5*s = -0*s - 251. What are the prime factors of f?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2379 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295901687 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475199 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 684.3 plus 33.1384?\nAnswer: 717.4384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1491000 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9)\/u)**(-4\/7)\/(((u*u\/(u*u**(2\/15)*u))\/u)\/(u\/(u\/(((u**(3\/4)\/u*u*u)\/u)\/u))*u)) assuming u is positive.\nAnswer: u**(419\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h*w**2 + 8*h*w - 2*h - 2625*w**2 - 4*w - 543 wrt w.\nAnswer: -8*h - 5250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40051, 80098, 120145, 160192?\n\"Answer: 40047*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 16 = -a, 69310*a - 69315*a - 9*d = -34 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 473 divide 41124512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -110 - -61616?\nAnswer: 61506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - 20*a**3 + 13*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-10)*402\/134*2\/(-42)*1?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 709670 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8*3\/(-72))\/((-1)\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-86)\/344*(2 + -1 - 1). Let b = -767878\/243 - -3160. Are b and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**2 - 58*u - 19 = 0.\nAnswer: -19, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -180*k**3*q**2 - 2*k**3 - 2*k**2 + 26*q**2 - 2*q wrt k?\nAnswer: -1080*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*s + 396*s - 5898 = 9492. Solve -9*x + 3 = s for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 191716 and 588?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(16) + sqrt(32)\/sqrt(2) - sqrt(4)) + 0)*3 + ((2*sqrt(204)*-1 - sqrt(204))\/(2*sqrt(432) + sqrt(432) + sqrt(12)) + 4)**2.\nAnswer: -5*sqrt(17)\/19 + 5929\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 1. Let b be x(-4). Let u be (-1)\/(-1 + b\/(-6)). Calculate the remainder when 15 is divided by ((-8)\/u)\/((-2)\/12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23402254 (base 6) to base 9\nAnswer: -1334357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*m + 80, z - 19 - 1 = 4*m. What is the common denominator of z and -91\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -663 and -679 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 5*c**2 - 4*c - 13. Suppose -20 = -d - 3*d. Suppose 5*v = -5, -x - 2*v = -d*v - 9. Let t be k(x). What is the nearest to t in 4, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/105*(-33)\/(-22) - (-3)\/(-7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 120*f + 312. Determine k(-3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/9)\/(-2 - (-15)\/6). Let x(t) = 2*t - 5. Give x(h).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 10:09 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxk when three letters picked without replacement from rxxrskpxmrrxrxsk.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3797 is divided by 84?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*j*k + 209*h**2*k*n + 2*h**2*n - 4*h*j*k*n - 2*h*k*n - 47*j*k*n + 3*j*k wrt h?\nAnswer: 2*j*k + 418*k*n + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 195 = 16*r. Let p = r + 50. Calculate the greatest common factor of p and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p + 4. Let i be -2 + -7*2\/(-2). Let c(w) = w. Let h be c(-4). Let b(z) = 4*z + 5. Let u(j) = h*b(j) + i*o(j). Let d(n) = -n**2. Give d(u(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -n, -4 = -9*g + 8*g - n. Let y(i) = -12*i**2 + 2*i + 1. Determine y(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 + -61. Let m(y) = 7*y - 53. Does 18 divide m(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - ((-3)\/18 - (-968)\/48) - (-315)\/(-5)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6245681ug to milligrams.\nAnswer: 0.0006245681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 4, 168\/13, -10 in ascending order.\nAnswer: -10, -3, 3, 4, 168\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.24 + -4.89. Put -2, w, -0.2, -5 in ascending order.\nAnswer: -5, -2, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 331ac (base 13) to base 12\nAnswer: 456b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + c - 1. Let a(m) = -m**2 + 13*m + 50. Let o be a(16). Determine q(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5 - 1. Suppose 4*o + 9*z - 4*z - 93 = 0, 4*o + g*z - 78 = 0. What is the remainder when 66 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)*-6 + -2.\nAnswer: -18*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-15 + (16 - -11)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -1\/120*v**6 - 2*v**2 - 1\/6*v**3 - 1\/24*v**4 + 0 + 1\/20*v**5 + 0*v. Suppose -3*a + 9 = 0, a - 3*a = u - 8. Determine l(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 6)*(-42*p - 46*p + 64*p) - 2 + 2 - p + p - 6*p + 4*p + p - 5*p + 3*p + (p - 4 + 4)*(-2 + 2 - 1) - p + 0 + 0 - p - p + 4*p.\nAnswer: -147*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, z: 5, t: 12}. What is prob of picking 2 t and 1 z?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - -1000 - (11 + (-15 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 155990.\nAnswer: -2\/15599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 54*o**3 + 3*o**2 + 247*o - 488. Determine p(2).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8642 + -8641.99986582. Round g to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 964, 893, 818, 739, 656?\n\"Answer: -2*v**2 - 65*v + 1031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -354 + 1013560?\nAnswer: 1013203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 3\/8, -0.2, 7 in descending order.\nAnswer: 7, 3\/8, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-340)\/((-646)\/(-19))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 - 56*i + 87. Let w be t(17). Let a(n) = -n + 2. What is a(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45726*m + m**3 - 45726*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-62)\/(-1))\/(6 + -4). Let r = u + -29. Let p(t) = -t - 4. Let z be p(-4). Solve 2*y + 0*y + r = z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149044098.\nAnswer: 2, 3, 7, 1777, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7740866*b**4 - 26*b**3 - 214*b**2 + 25003*b + 4 wrt b?\nAnswer: -185780784*b - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9064004 - 1.53?\nAnswer: -9064005.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o + 12 = 0. Suppose 0 = -3*k + o*k - 5. Let v be (0\/(-1))\/(1*2). Solve v = -3*f + p + 9, -k = -f - f + p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 18\/14)*-7. Suppose 0 = 4*v - 5*c - 6 - i, -4 = c. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 2)*(13 - t - 13)*(398*t - 398*t + 13*t**2).\nAnswer: 78*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 963057.2 minutes in milliseconds?\nAnswer: 57783432000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 divided by -5?\nAnswer: -386\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 7*b**2 - 6*b - 11. Suppose -w - 2*c + 6 = 0, -4*c + 0*c = 5*w - 24. Suppose 16 = w*v - 2*v. What is the units digit of z(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 869*y**5\/20 + 863*y**3\/2 - 2740*y**2. Differentiate o(t) wrt t.\nAnswer: 5214*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*d - 11 = 0, -q - 3*q + 19 = d. Let c(g) be the second derivative of g**4\/12 - 2*g**2 - 4*g. Let u(o) = o**2 - 5. What is q*c(i) - 4*u(i)?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 865*w**2 + 33230*w - 92040.\nAnswer: 5*(w - 118)*(w - 52)*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5418458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*u - 4. Which is the closest to -2\/3? (a) 0.2 (b) 0.5 (c) u (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 6. Calculate t(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 7490*t + 165748.\nAnswer: -2*(t - 3767)*(t + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 40. Suppose 2*p - 3*d = f*p - 21, -15 = -5*p + 5*d. Let j(g) = g. Let u be j(p). Solve -2*o - 4*w - 11 = o, 30 = u*o - 3*w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41 from 27152761.432.\nAnswer: 27152802.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 147246*a*u**4 + a*u**2 + 49222*a + 2 wrt u?\nAnswer: 588984*a*u**3 + 2*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/5676 and 29\/5676.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 706, -3, 402 in decreasing order.\nAnswer: 706, 402, 7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*-2*sqrt(17)*-1.\nAnswer: -48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 8:36 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 106334150 to the power of 1\/2, to the nearest integer?\nAnswer: 10312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 9 - ((-9)\/3 - -5). Let q(t) = 14 + 23 - 8*t + i*t - 11. Let p be q(10). Calculate the greatest common factor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from ghhhchg.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 16 = -0*i. Let n be i\/18 - 56\/(-90). Let s = -1.5482 - -0.5482. Which is the closest to s? (a) -0.4 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2273237?\nAnswer: 1447, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 24 - 28 = 0. Let d(s) be the second derivative of s**4\/12 - s**3\/6 - s**2\/2 + s. Let b be d(3). Solve b*r + 8 = -c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 73. Let t(u) = -22*u**2. What is t(y(i))?\nAnswer: -22*i**2 - 3212*i - 117238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.72 - -56.28. Let x = -58 + g. Which is the fourth biggest value? (a) -2\/13 (b) x (c) -3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -5043?\nAnswer: 5043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-2)*2\/30. Let j(n) = -n**3 - 5*n**2 + 2*n - 1. Let v be j(-5). Let o = 15 + v. Put o, 0.3, a in decreasing order.\nAnswer: o, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56637?\nAnswer: 3, 7, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3)\/(15227\/(-91362)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 224664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 17 + 3)*(-9*f**3 + 0*f**3 + 2*f**3).\nAnswer: 70*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11, -5, -39, -91?\n\"Answer: -9*z**2 + 11*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28513 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u\/(u**(-1\/4)\/u)*u))\/u)\/u)\/u*u**(1\/11)*u*(u*u**2)**(-6\/7) assuming u is positive.\nAnswer: u**(-2381\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/(i**(-11)\/i)*i*i)\/(i*i\/(i**(-3)*i)))\/(i\/((i\/i**1)\/i*i*i)*i)**50)**(6\/7))**(5\/6) assuming i is positive.\nAnswer: i**(-190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 2*i**2 + 4*i. Let x be a(-4). Let h(f) = f + 8. Let w be 18\/(2 - 1\/10*5). Let z be h(w). Calculate the highest common factor of x and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 201 and 1206?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p + 27. Let r be d(-9). Suppose 4*y - 9 = w, r = 4*w - 3*y - 15 - 1. Suppose 2*g + 5 = w. Solve -7 = -4*i + g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -4*-2*1272\/(-2016).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 5*d + 3. Let f be 0\/4 + -5*1. Let q be k(f). Is q\/(2*9\/48) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/24*-10*6\/2. Let v be (-2)\/(-7) + 40\/7. Solve -3*m = -u*m - v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7643 - 7569. Calculate the greatest common divisor of g and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.16 - -0.19. Let q = 0.33 - w. Put 1\/3, 0, q in increasing order.\nAnswer: 0, q, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*q = 73, 4*q = 4*r + r - 100. Calculate the remainder when 47 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxk when three letters picked without replacement from {s: 1, b: 1, w: 3, x: 2, v: 1, k: 12}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -359\/93 in -1\/4, -6, -28\/9?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**6\/150 + 3*n**5\/100 - n**4\/20 + n**3\/30 - 3*n + 2. Let j(z) be the first derivative of l(z). What is g in j(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -765?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*f**2*k*t - 28*f*j*k*t**2 - f*t**2 + 3341*j*k*t**2 - 3*j*k + k*t**2 with respect to f.\nAnswer: -80*f*k*t - 28*j*k*t**2 - t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (sqrt(3) - -3*2*sqrt(3) - sqrt(3)))*-3.\nAnswer: -108*sqrt(3) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7976594.\nAnswer: 2, 3988297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-11) + -8 + (-1884)\/(-198). Let s = 4.6 - 5. Let i = 30184\/3 + -10061. Which is the third smallest value? (a) s (b) i (c) n (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 2:56 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 5*f - 0*g + g, -2*g = 4*f + 58. Let t be -25 - 3\/15*5. Let i = f - t. Calculate the remainder when 49 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2057 and 3553.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9.61, -0.066, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*x**3 + 202*x**2 - 21*x**3 - 80*x**3 - 90*x**3 - 838*x**2 wrt x.\nAnswer: -1278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153139583 - 153139583 - 16*n**2 + 21*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s + 10. Let a(n) = -n + 9. Suppose -4*f - 9 = x, -2*f + 9 = -2*x - f. Let c(l) = x*r(l) + 6*a(l). What is the derivative of c(k) wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-38 - (14 - (16 + -9))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*p + 3*n + 0*n = 193*p - 15, p - 11 = -2*n for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**5\/20 - 5*m**4\/12 + 11*m**3\/6 - 2*m**2 + 5*m. Let n be a(5). Suppose 0 = -0*f + f - n. List the prime factors of f.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/486761 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -538*o - 8068. Let h be d(-15). What is the greatest common factor of h and 241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33304*f**3 - 57992*f.\nAnswer: -199824*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-14) - (-38)\/7. Solve -t = 3*t + h*c - 30, 7 = 3*t - 4*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 9, 1, -2, -4, 7 in ascending order.\nAnswer: -22, -4, -2, 1, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 167*i + 154 + 149 + 146 - 449. Let j(w) = -2*w**2. Calculate c(j(f)).\nAnswer: -334*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -266378700 to the nearest one million.\nAnswer: -266000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bb2 (base 14) to base 12.\nAnswer: -1408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 i, 1 y, and 1 z when four letters picked without replacement from ailivyzz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2216 and 160457236?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20604569.9 and -4.\nAnswer: 20604565.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7047\/116*1\/(-6) and 97\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73791 is divided by 1640.\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96639\/10 - -9656. What is the common denominator of 4 - (78\/(-65))\/(7\/(-15)) and l?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.3283601788 - -13?\nAnswer: 25.3283601788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40552.17 times -3\nAnswer: -121656.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7198416 to the nearest integer?\nAnswer: 2683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**5\/20 - v**4\/4 - v**3\/2 - v**2\/2 - 16*v. Let m be (22\/33)\/((-2)\/9). Determine q(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000101101001101110000 (base 2) in base 10?\nAnswer: -2282352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8153.\nAnswer: 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 21*d + 20)*(-2*d + d + 3*d).\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1724 is divided by 855?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2 + 0*y**2 + 18*y**2 - 322 - 60*y - 13*y**2 - 5*y**2 = 0.\nAnswer: -23, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*p**5 - 19*p**5 + 80*p**5 + 4*p**5 - 3*p**5 + 0*p**5 + 2*p**5 + 0*p**5 + 2*p**5 + (0 - p**3 + 0)*(p**2 + 2*p**2 - 2*p**2).\nAnswer: 120*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 2*h**3 - 2*h + 6*h**2 - 7*h**2 + 3 + 2 to the form b*h**3 + g*h**2 + t*h + v and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 13. Suppose z - h = -z. Solve z*r - 6 = 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112847.59 - 112282. Let t = -569 + x. Let a = 0.59 - t. What is the closest to 0.1 in 3, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, q: 3, k: 3, h: 2}. Give prob of picking 1 k and 1 s.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + -0.2. Let j = s - -0.81. Round j to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**3 + 4*p**3 - p + p.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -58, -5154, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1637 + 1636.99988085. What is p rounded to 6 decimal places?\nAnswer: -0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 18\/37 and 19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, v: 4}. What is prob of sequence mv?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574*c**2 + 464*c**2 + 256*c**2 + 576*c**2 - 1328*c**2.\nAnswer: 542*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h*h**(3\/2)))**(-14))**(2\/7)\/((h*h**(2\/3)\/h)\/(h**(2\/7)*h)*(h*h*h\/(h**(1\/9)\/h))\/(h\/(h*h**(-2\/11)*h)*h)) assuming h is positive.\nAnswer: h**(7562\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n + 321. Let l be n\/(-4) - (-5)\/(-20). Calculate the highest common divisor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110100111111 - -10110000?\nAnswer: 1001110111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from eyttfeffefeffytfff?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 74 = -a, 7*r - 2*r - 3*a - 366 = 0. What is the greatest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491640 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-five quarters of a millimeter?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from dddsdddtdddjdtt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 11:44 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 9*j**2 + 9. Let z be y(9). Suppose 9*d + z = 12*d. Suppose -3*l - 2 = c + 4*c, 4*l = -d*c + 1. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f - 6. Suppose i - 2*i = 0. Let n = i - -2. Let q(v) = 6*v - 3. Let k be q(n). Let t(l) = 4*l - 13. What is k*z(c) - 4*t(c)?\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2 + 19*h - 11. Let l(z) = 9*z**2 + 31*z - 22. Let d(k) = -7*f(k) + 4*l(k). Suppose -19 = -2*c + 1. Calculate d(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260462476.\nAnswer: 2, 109, 597391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x + 6 = 5*o, 0 = 3*o + x - 2. Suppose 0 = 3*r - o*r - 24. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 9 = l. Suppose -2257*d - 19932 = -2389*d. Calculate the remainder when d is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10, -29, -62, -115, -194, -305, -454, -647?\n\"Answer: -g**3 - g**2 - 9*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = 3, 0 = -2*o + 3*y - 49. Let u be 7\/14 - (-42)\/o. Is u < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**(-1)))\/j)**(-8\/7))**(-8))**34 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/18 and -103\/34220?\nAnswer: 307980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + p**2 + 2)*(60 - 60 + 655*p**2 - 87*p**2) as s*p**3 + t*p**4 + n*p + g + w*p**2 and give t.\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 965342 and 742?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((10\/(-3))\/5)\/((-48)\/(-18))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2276, -2193, -2054, -1859, -1608, -1301?\nAnswer: -938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*h + 3270 = -3288 + 2530 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 119?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/270)\/((-1)\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/18 + 10\/45. Let l = 722 - 721.3. What is the nearest to 2 in l, c, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (23 - (29 + -20))) + -22.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*l**2 + (5*l - l - l)*(-5*l + l - 3*l))*(-7*l**2 + 3*l**2 + 15*l**2) in the form v*l**3 + t + m*l**2 + g*l + y*l**4 and give y.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 796*k - 15576.\nAnswer: -4*(k + 22)*(k + 177)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*sqrt(66)*-1)\/sqrt(6).\nAnswer: -25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 253181 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16047 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 121131706 to the power of 1\/2, to the nearest integer?\nAnswer: 11006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/1)\/(1 - 0). Let x = 1 + o. Calculate the greatest common divisor of x and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**11\/a)\/a)**(-12) assuming a is positive.\nAnswer: a**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - b**2 - b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/10 - 13237*c**2\/10 - 152502*c\/5 + 31824 = 0.\nAnswer: -24, 1, 13260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67578813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:16 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in 0, -0.5, 0.3, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3\/5, 5.\nAnswer: -1\/2, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10231 * 4.\nAnswer: 40924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1930974439?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.9 or 6871?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 49 = 5*w, -361*w = -5*l - 358*w - 59 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 2807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -3585?\nAnswer: 3585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 588929474 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 3*v**5\/40 + 5*v**4\/4 - 25*v - 30. Find j such that x(j) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f = 12. Let h(u) be the third derivative of u**4\/24 + u**3\/3 - u**2. Give h(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337716920.\nAnswer: 2, 5, 8442923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3163 = -3*z + 7681. Let t = -965 + z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*i*m*v - 94995*i*v + 2726777*m*v with respect to i.\nAnswer: -7*m*v - 94995*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from yyqqgyiyeyqb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9863.\nAnswer: 7, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10544 and 1248?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dboooboboobbbobbooob. Give prob of sequence obo.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 12\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 - 4*p + 2. Calculate the remainder when 51 is divided by g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*w - 5. Solve -28 = 5*t - 3*s, -3*s + w*s = t + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 22. Suppose 119 + 181 = g*d. Calculate the highest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -337*v - 101*v**2 + 337*v. Let o(q) = -29*q + 238*q**2 + 29*q - 240*q**2. Give u(o(b)).\nAnswer: -404*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 26. Give c(31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3912\/22 - 20\/(-110) is divided by 76?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 21 = -i - 2*i, 0 = 3*z - 3*i - 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12568 and 25135.\nAnswer: -315896680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 936*v + 272*v + 327 - 168 - 159.\nAnswer: 1208*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, 313, -5, -2, 0.1, -0.4?\nAnswer: 313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -17*u**6\/720 + 65*u**4\/12 + 26*u + 2. Let i(y) be the third derivative of p(y). Let h(m) = 0*m + m + m. Give h(i(b)).\nAnswer: -34*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 61158 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**6\/60 - b**5\/20 - 23*b**3\/6 - b**2 + 16*b. Differentiate d(t) with respect to t.\nAnswer: -6*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.8 - -4.8000076. Round j to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 10:13 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 16*v**2 + 2. Calculate the remainder when p(1) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 324397003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1864 and 12?\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - (-57 - (-112 + 51)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4)\/r)**(-22)*r**5\/((r*r*r**(-2\/17)\/r*r*r)\/r*r))\/((r**(-1\/2))**(1\/10))**4 assuming r is positive.\nAnswer: r**(3199\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16493947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 6 - 0. Let q = 440 + -438. What is the second biggest value in -1\/4, u, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1877, 5, -1, -2, 2 in ascending order.\nAnswer: -2, -1, 2, 5, 1877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-5406)\/(-145860)*5 + 6\/(-26)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45 + 5?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*n - 2 + 10*n + 2 - 8 wrt n?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 0*p = -78. Let q be (0 + p)\/((-6)\/(-822)). Suppose 0*l = -2*l - 3*z + q, l - z = 898. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f - 6*f + 5*f**3 - f**3 - 4*f as u*f**2 + t*f + k + a*f**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 4.9. Let j be -1 - (-5)\/4*1. Let k = -3 - -8. Which is the closest to f? (a) k (b) 2\/11 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -23.42?\nAnswer: 6.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 88. Let j = 9296.906 - 9260. Let z = q + j. Round z to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**3 - 47*t**2 + 74*t - 61. Calculate a(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2265053 at most -2265084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 18. Which is the third smallest value? (a) -2\/15 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-3 - 0 - (-8)\/2). Suppose -52*n + 54*n = h. Which is the nearest to n? (a) -0.4 (b) 0.3 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*c + 2*l - 15, 2*l = -c + 6. Suppose 0 = -c*r + r. Solve 5*t + 12 = n - r*t, 4*t + 10 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g + 16. Calculate l(12).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6)*-20)\/(6\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - o - 1. Let b(p) = -5*p**3 + 5*p**2 + p + 1. Let g(t) = b(t) + u(t). Find the third derivative of g(r) wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1624 divided by -7.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125981.\nAnswer: 53, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 + -201.51?\nAnswer: -201.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -4\/9*t**2 + 16*t - 121\/54*t**4 + 44\/27*t**3 + 2. Suppose w(l) = 0. What is l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 717 - 1098. Let y = x + 384. Solve 4*b + 20 = -b, b = -y*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 12.134 (c) 8.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccgaccccalgcccgl. What is prob of picking 1 a and 2 l?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:32 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*s - 4222 - 710. Let g = -18 + s. What are the prime factors of g?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.2 (b) 22 (c) -2 (d) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25082 + -17127. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 20509.\nAnswer: -20512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2917152 divided by -12.\nAnswer: 243096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (107 - 112) + 15 + (-2 - (-7 + (-1 - -1)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u + 285 = 0. What is the remainder when u is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7265734 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2 + 2)*(4 - 4 + t) - 2*t**2 + 2*t**2 + 3*t**2 - 3*t**2 + 7*t**2 + 2*t**2 + (1 - 2*t - 1)*(-3 + 3 + 20*t).\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5609*z - 4*l - 12 = -5614*z, z = -l - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2. Suppose -3*m + 7 + 17 = 0. Let y(l) = 8 + l - m. What is y(z(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, -2, 3.473, -1\/10, -3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10*b. Let m(g) = 23*g - 36*g + 17*g. Give m(d(c)).\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123464 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39600*z**3 - 87120*z**2 - 6750*z**4 - 85184*z - 468512\/15.\nAnswer: -2*(15*z + 22)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10602 * 5\nAnswer: -53010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6\/5)\/(c\/(c*c**(-1\/23)*c)) assuming c is positive.\nAnswer: c**(-28\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**3 + 3*f**2 - 5*f + 13. Give x(3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**6\/30 - r**5\/5 + r**4\/6 + 2*r**3 - 9*r**2\/2 - 234*r. Factor j(k).\nAnswer: -(k - 1)**2*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.822735*-5\nAnswer: 9.113675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135090745 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39\/10 - 7\/2. Let o = 4.148 + -1.148. What is the biggest value in 5, o, w, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14771, -29540, -44309?\n\"Answer: -14769*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 7*v**2 + 12*v - 7. Let n be c(5). Suppose -n*w + 23 = -70. Suppose -8*h + w = -1329. Is h a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99 + -95. What is the smallest common multiple of 26 and a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 6*p**2 + 6*p. Calculate d(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b = -14*b - 212. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 50*a**5\/21 - 30072970*a**4\/21 - 276681446*a**3\/7 - 1548235818*a**2\/7 + 4980317760*a\/7 - 3248029800\/7 = 0?\nAnswer: -15, 6\/5, 601487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 16815*b - 117715. Give u(7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 4*u + 0*u)*(0 + 8 - 3)*(-1 + 1 + 1)*(u**3 + 0*u**2 + 0*u**2).\nAnswer: -35*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 379*f - 162*f - 209*f + 8. Let j(c) = -2*c**2. Determine l(j(g)).\nAnswer: -16*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-21) + (1 - (-99)\/(-21))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2154071540?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 0.1 (c) -4 (d) -15 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/7 + 793120*q\/7 - 78629916800\/7 = 0.\nAnswer: 198280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -76969223*p**4 - 49666157.\nAnswer: -307876892*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*l - 10652 + 10886 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10286*16*28\/(112\/(-25)). What is s rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 19 = 83. Calculate the remainder when 62 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -18411322.\nAnswer: -92056610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = a - 2*z, -3*a + 4*z - 9 = -z. Suppose -3*p = 3*l - 3, -2*l - 4*p = 1 - 11. Sort -2, a, l, 0 in descending order.\nAnswer: a, 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -297*u**3 - 12*u - 2. Let p(v) = -v**3 + 6*v + 1. Calculate -3*f(k) - 6*p(k).\nAnswer: 897*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*f = -2*d + 43392, d - 8685 = 3*f. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 15. Let g be d(17). Suppose -z - 1 + 0 = 0. Is 0 + 57 + g\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99280686367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 98*x - 198 = 244, -2*x + 730 = 4*a + 682 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 608450 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3 (base 14) to base 8.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 12. Let c = 8 + -5. Suppose -m + 5*u + 2 = 0, -5*m + 73 - 15 = -u. Solve c*o = -m, w*o + 21 + 6 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 16*g - 5 - 1 - 5 - 10. Let b be (-6)\/10 + (-968)\/(-55). Is r(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20191*j - 39763*j + 20260*j.\nAnswer: 688*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6689, 7461, 8233?\nAnswer: 9005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -481 + 484. Let l(n) be the first derivative of -5*n**2 - 5 + 0*n - 8\/3*n**x. What is the second derivative of l(w) wrt w?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -856*b + 859*b + 6*h + 99, 5*b - h + 11 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 + 96. Suppose g - 16 = f. Calculate the remainder when 29 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 13*l**2 - 157*l + 59. What is the remainder when y(18) is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Let z = w + -3. Let m = -0.6 + 0.2. Sort m, z, 1 in decreasing order.\nAnswer: 1, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, r: 1, k: 2}. What is prob of sequence kk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2, -1\/220?\nAnswer: -1\/220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1002*s + 734*s + 14176 = -711*s for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3986 is divided by 1980?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4180)\/(-6930) - 15\/21.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 6*q**2 - 3*q - 9. Let j = 11 - 6. Suppose -j*b = 3*n + 8, -4*n + 2*n - 3*b = 6. List the prime factors of g(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: What are the prime factors of 175?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 6*d**4 + 156*d**2 - d**4 - 30*d - 154*d**2 to a*d**4 + y*d + p*d**3 + x + b*d**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 1\/4 (b) -4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 24*v = c - 4, v - 12 = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -1*3*1. Let m be 58\/14 - (15\/7 + -2). Suppose 0 = -3*k - 5*l - 10, 0 = -4*k + 6*l - m*l + 30. Put z, k, -3 in decreasing order.\nAnswer: k, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**3 + 585*g**2 + 9276*g + 35244 = 0.\nAnswer: -178, -11, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -29 times 228.6\nAnswer: -6629.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (428 - 5099*m + 477 - 905)*(-3*m + m + 0*m) as h + y*m + i*m**2 and give i.\nAnswer: 10198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**4 - 39*j**2 - 36*j = 0.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4687, -14.\nAnswer: -14, 0.3, 4687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from mxxxxmxxxxxxxxxxxxxx?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -686.7 + 686.71256. What is p rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 - 3*a**2 - 2*a**2 + 5*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27069 is divided by 4507?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 5*y + 5*y - 2*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -139*x**3 + 2*x - 736 + 792 - x**2 - 103*x**3. Let d be b(-16). What is d rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 62*w**2 - 174*w - 3337. Give b(-60).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -23*f + 20*f + 19471, -6472 = -f - 2*i. List the prime factors of f.\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6799, 13563, 20331, 27103, 33879?\n\"Answer: 2*c**2 + 6758*c + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6412925 rounded to 2 dps?\nAnswer: 1.64","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -743143 + 355?\nAnswer: -742566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, 1, -1 in ascending order.\nAnswer: -5, -1, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 3\/34, 14.2?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpmmp. Give prob of sequence mpm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (16*(-20)\/880)\/((-6)\/1)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + -3 - 8\/8. Let y = c - -392. List the prime factors of y.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2 = 6. Suppose -4*n - 9 = -25, -l*f - 5*n + 58 = 0. Suppose 17 = f*s - 59. Which is the fourth smallest value? (a) -2 (b) s (c) -0.1 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -11890?\nAnswer: 3567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 12 = 2*n, 5*n + 24 = 2*s + 3*n. Let w(m) = -8*m + s - 8*m**2 + 4*m**2 + m**2 + 4*m**2. Let z be w(6). Solve -32 = -4*i - 4*g, z*g = 2*i - 2*g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301322920 - 188679712 + 510914792 = 29*g. What is g rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 60*q + 536. Let l be f(10). What is the highest common divisor of 708 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7 - 12 = 0. Let y be ((-84)\/(-48))\/(b\/44). Let i = -74 - y. Solve 17 = -i*a + 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*b = 914 - 904, 10 = -t - 3*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/11)*o)\/(((o*((o**18*o)\/o)\/o)\/o)\/o))\/(o*o**25*(o\/(o\/(o\/(o**17\/o))))\/o) assuming o is positive.\nAnswer: o**(-277\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.95 - -0.05. Let l be (-8)\/(-2 - 9\/(-2))*25. Let m be 10\/l + 39\/24. Which is the second biggest value? (a) -8 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8149521071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6*1)\/((-12)\/(-114)). Let s = p + -25. Is (-1)\/(-2)*(-4 + s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t - 4. Let u(y) = y + 1. Suppose 0 = -4*n - 4*i - 20, 3*n + 0*n = -4*i - 16. Determine n*u(d) - g(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26903747 rounded to two dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*h**5 + 2*h**4 - 2*h**2 wrt h?\nAnswer: 7440*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-5) - (-6)\/(-15). Let x = 5 - z. Suppose -2*j + 178 = x*s, 0 = 3*s + 14 - 2. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 = c - 6*c - 5*v, 3*v + 207 = 3*c. Let d = 71 - c. Sort -4, d, -1 in increasing order.\nAnswer: -4, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*u - 3*u. Suppose 5*f + 1 = -l, -4 = -f - u. Let d be l\/1 - 78\/21. Put d, -1\/3, -3\/5 in ascending order.\nAnswer: -3\/5, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25354947899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -346825.909 + 347002. Let l = -176 + o. Let t = -0.282 - l. Round t to two dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + -1.3. Let k = -182\/255 + 4\/85. Let x = -71\/10 + 15\/2. What is the third biggest value in k, x, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/9 equal to -174\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-35)\/(-3 - 2) - -6. Calculate the highest common divisor of 377 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(3)*1) - (sqrt(5) + -5 + sqrt(5)*5))**2*2.\nAnswer: -100*sqrt(5) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/7 + 1160*j**2\/7 - 2*j\/7 - 1160\/7.\nAnswer: 2*(j - 1)*(j + 1)*(j + 580)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37964, 37963, 37962, 37961, 37960?\nAnswer: 37959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = q - 0. What is the units digit of (-4 - 18\/q)*114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5330 + 6438*w - 5330 - 1863*w to the form r + t*w and give t.\nAnswer: 4575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o. Suppose -5*p + 11 = -4. Let s be 1\/(((-9)\/(-21))\/p). Let a(i) = -s*i + 3*i + 2*i. Calculate a(f(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -l - 0*f - 9, 4*f = 16. Suppose 3*p = 2*p + 3. Let o be 4134\/312 + (0 - 1\/4). Solve 4*h + 7 = p*j, 5*h - o = -l*j + 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200102011222 (base 3) to base 16.\nAnswer: 587cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24798959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 3*w. Let b(d) = d**2 - 2*d. Calculate 3*b(r) + 2*k(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286*(1054\/187)\/(-62).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -12*j - 2. Let y(k) be the third derivative of -11*k**4\/24 - k**3\/3 - 1969*k**2. Calculate -3*x(l) + 4*y(l).\nAnswer: -8*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-155)\/93*(-3)\/(-35)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39596340 and 0.2.\nAnswer: -7919268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 333213202?\nAnswer: 333213202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, -2\/11, -639, 0, 0.8, -0.2?\nAnswer: -639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142210 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 9*z + 5. Let t(n) = -n + 1. Let a(j) = 2*j. Let v = -126 + 123. Let l(m) = v*t(m) - 4*a(m). Determine -6*g(s) - 11*l(s).\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641*s + 19*s**2 + s**3 + 173*s + 37*s**2.\nAnswer: s**3 + 56*s**2 - 468*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302103 (base 4) in base 10?\nAnswer: 7315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24555020 (base 7) to base 10\nAnswer: -2215451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9867\/329 + -1632\/47. Let d = 65 + b. Factor 0 + 8\/7*f - 6\/7*f**3 + d*f**5 - 8\/7*f**2 + 4\/7*f**4.\nAnswer: 2*f*(f - 1)**2*(f + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.5543665 to one decimal place.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2501731 and -13?\nAnswer: 32522503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*y - 2319 + 1161 + 1167)*(-4*y - 3*y + 6*y + 2*y + y - 5*y + 2*y - 2*y + y + (0 - 1 + 3)*(-y + 2*y - 2*y) + y - y - y + 79 - y - 79).\nAnswer: 438*y**2 - 54*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 103 and -0.3?\nAnswer: -30.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 225 - 596. Let h = t - -376. Solve -4*f - h*n - 40 = 0, -3*n - 17 = -f + 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9512*o + 9486*o + 754 = 0 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17236*q**3 - 224*q**2 - 4057*q + 418.\nAnswer: 103416*q - 448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a + 4*a + 0*a as y + f*a and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -4*t + 16. Let s be ((-78)\/(-260))\/(2\/t). Solve 3*l + 9 = 5*v, s*v + 10 - 4 = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 249, 1598, -3 in ascending order.\nAnswer: -3, 249, 1598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 11*a - 12. Let c be x(9). Suppose 8 + c = 7*f. What is the closest to 1\/3 in -1\/4, 1, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*2.809427\nAnswer: -8.428281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diiwfdnzwwinzz. What is prob of sequence dw?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d. Let w(k) = -1928*k**2. Calculate c(w(h)).\nAnswer: 3856*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43077 - 11?\nAnswer: 43066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/20*6*48\/54?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -663.\nAnswer: -265.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/2 - -2) + -18. Let a = -13 - o. Suppose -28 = -3*m - m - 3*w, a*w + 70 = 5*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8837b2 (base 12) to base 4\nAnswer: 20100002312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 5*t - 744. Calculate r(26).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycct when four letters picked without replacement from ccqtlcllyqctltlycl?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 16*w**2 + w - 1. Let c be l(1). Let p be 3*(-2)\/3*-1. Let s be 3\/6 - p\/c. What is the third smallest value in 4, -1, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10950, -22000, -33052, -44106?\n\"Answer: -n**2 - 11047*n + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-4*(-3)\/6). Let a be (-3)\/42*j + 1. Let f = 698\/5 - 140. Sort 1, f, a in decreasing order.\nAnswer: 1, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**3 + 11*b**2 + 29*b - 51. Let t(u) = 9*u**3 + 22*u**2 + 58*u - 101. Let d(w) = 11*i(w) - 6*t(w). Let y be d(13). Solve 0 = -11*c + y*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 6*v - 43. What is the greatest common divisor of v and 360?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 64*3\/18*201. Let u = g - 1375. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132720 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (26\/65)\/(36\/5). Let s(y) be the second derivative of 1\/12*y**2 + 0 - t*y**3 - 3*y + 1\/72*y**4. Factor s(m).\nAnswer: (m - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/2352*28*(-1)\/(-5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 117 = 5*d. Suppose 802 = -11*y + d*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -2 + 7 + (0 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (37 - (3 - -6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2021202?\nAnswer: 2021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -44, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -13 + 5*m - 2 - 10 - 6*m + 10. Calculate y(11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c. Let h(k) = -24*k - 5. Let j(q) = h(q) + 6*t(q). What is the remainder when j(-4) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/(-8))\/(1\/((-288)\/48))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-131 - 428 - 114)*(-5*a + 8*a + 9*a) as t*a + y and give t.\nAnswer: -8076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 220\/162 + 4104\/(-1539) + (-8)\/(-6)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 3917437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1599.31701 to the nearest ten.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*1 + 12 + 0. Suppose 3*g = -4*k + q, 7*g + 15 = 2*g. Calculate the remainder when 13 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by -29.\nAnswer: 41\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, -3, -2\/11, 0.2, 1.6 in decreasing order.\nAnswer: 1.6, 0.2, -0.16, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1148 divide 558145309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 18*i**2 - 8*i + 4. Let s(q) = -q**3 - 35*q**2 + 18*q - 9. Let p(k) = 9*f(k) + 4*s(k). Find the third derivative of p(v) wrt v.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*f + 44 = 0, -5*o + 55 = -o - 3*f. Suppose -4*v - 1 = -o. Solve -v*g - j + 3 = 18, g - 5 = 3*j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + 46. Let f = -72 + y. What is the common denominator of (-110)\/80 - (f + (-5)\/(-4)) and -51\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 111.1 and -19.\nAnswer: -2110.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 1038.\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 9*g - 5. Let r be -19 + 6 - 2*-2. Let w be s(r). What are the prime factors of 96\/20 - 1\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3526 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.677, -3\/23, 3\/5, -3, 3, -1\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/30 + o**4\/3 - 3*o**3\/2 - 2*o**2. Let m be y(-8). Let r = 20 + -9. What is the greatest common factor of r and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 d, and 1 t when four letters picked without replacement from zzduzztttuzu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/(36\/(-128)))\/(5\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6565 (base 14) in base 9?\nAnswer: -26041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2 + sqrt(1008) + sqrt(1008) + -2 + sqrt(1008) + 1 + 2)*1*1 + 3)**2.\nAnswer: 432*sqrt(7) + 9111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y - 24. Let m be n(-6). Suppose m = 2*l - 2*o - 28, o + 54 = 5*l - 0*o. Solve 3*s = 5*s + l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1744 = -163*l + 159*l. What are the prime factors of l?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p. Let s(d) = 390*d**2 + 16161*d - 2. Give s(x(m)).\nAnswer: 1560*m**2 - 32322*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-9*5\/(-135).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15562 is divided by 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4799611 - -30.\nAnswer: -4799581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 12308139785*x**3 - 3 + 12308139835*x**3.\nAnswer: 50*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161 + 161.5. Let k = -0.08 - -1.08. Sort -0.4, 5, z, k in descending order.\nAnswer: 5, k, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from {d: 6, l: 1, e: 1, a: 1, j: 4, i: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3678516115?\nAnswer: 5, 735703223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 20 (b) 0.01 (c) -1 (d) -0.123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 453, 0.2, -3, -3.2, 5\/2 in descending order.\nAnswer: 453, 5\/2, 0.2, -3, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 32 = -4*r. Let t = r - -24. Solve -2*x - 5*s - 14 = 0, 3*x + 2*x + t = -3*s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 7*y**2 + 7*y + 2. Let x be (-11 + 0)*(-4 + 3). Let g = -19 + x. Let u be f(g). Solve -n = n + u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/3)\/((-320)\/(-128)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1, 4\/3, -2, -19?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 2*n**2 + 2*n**2 - 1. Let c(d) = -2*d**2 - 3. Let o(s) = -s**2 + 16*s + 555. Let v be o(-17). What is v*a(m) + 2*c(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 132083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.726 - 0.274. What is the nearest to z in -1\/4, 2, 12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 40 = 7*w - 2*w, 0 = -2*w + 4*d + 24. Let r be ((-22)\/(-3))\/((-4)\/(-102)). Suppose -r = -w*i + 9. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/11)*l**2)\/(l**(4\/5)\/l*l**(-5))*((l*l\/(l*(l*l**(2\/5))\/l*l*l))**(-4\/19))**(3\/10) assuming l is positive.\nAnswer: l**(42357\/5225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjj when three letters picked without replacement from {k: 7, j: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3))\/(10\/12). Let n be (-12)\/15 + (-108)\/90. Which is the closest to k? (a) -1\/5 (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in 4, 2, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -57838.6 rounded to the nearest 100?\nAnswer: -57800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1530, -1529, -1528, -1527, -1526?\nAnswer: -1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 4. Let x be (-3)\/((3 - 1) + -3). Let a(w) = -2*w + 9. Let b(t) = -4*t + 19. Let u(o) = -13*a(o) + 6*b(o). Determine x*q(p) - 4*u(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -13. Solve -c*j - 5*r + 5 = 0, -4*r + 4 = -0*j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233 times -36.2\nAnswer: 8434.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 576478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.96, -4\/169?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 0.2, -1, -48.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n - 15*n + n - 687*n**2 - 11*n + 128*n**2.\nAnswer: -559*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4261 - -4260.6. Sort i, -0.433, -1\/2 in descending order.\nAnswer: i, -0.433, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 640 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 2066 - 216. What are the prime factors of y?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 13*z**2 - 16*z + 18. Let d be o(14). Let u be (-2430255)\/(-450) - (-4)\/d. Let p = u + -5385. Find the common denominator of p and -38\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/625 and -21\/200.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 586668497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1555*g**2 - 1615*g**2 + 1574*g**2 + (-2*g + g + 5*g)*(g + 0*g - 3*g).\nAnswer: 1506*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 178.5 - 178. Let a = -14 - -12.7. Let y = 3.7 - a. Sort -3\/7, x, y in decreasing order.\nAnswer: y, x, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82 * 0.04.\nAnswer: 3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 287 and 1107?\nAnswer: 7749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1182134, -2364259, -3546384, -4728509, -5910634?\n\"Answer: -1182125*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25965*x + 1709*x**2 - 1 - 11375*x - 1705*x**2 + 1.\nAnswer: 4*x**2 - 37340*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-14) + 29568\/(-147). Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-45)\/385 + -6*(-6)\/63 and 35\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -3) + 2 + -7 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/(-1320)*-3*(-10)\/(-4). Let y = 0.176 + -0.076. Which is the fourth biggest value? (a) y (b) q (c) -4 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 8. Let f(b) = b**2 + 2*b - 6. What are the prime factors of f(c)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03875 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1114\/(-36) + (-48)\/54 + (33\/(-18))\/11?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1241, -3235, -8731, -19481, -37237?\nAnswer: -63751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 43*h**2 + 1476*h - 2889. What is b(-66)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -763.83 or -1\/23627?\nAnswer: -763.83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72608*m**3*x**2 + 2*m*x**2 - 2*m*x - 5040*m wrt m?\nAnswer: -435648*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*k**5\/4 + 231*k**4\/4 + 467*k**3\/2 + 557*k**2\/2 + 465*k\/4 + 63\/4 = 0. What is k?\nAnswer: -21, -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -823*y**3 - 810*y**3 + 3258*y**3 - 812*y**3 - 811*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8568\/387702*3\/((-6)\/(-1))\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*q = -257, -q = -5*r + 9*r - 221. Solve 55 - r = 2*m - 3*a, 4*a - 8 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -20, 11, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*v**2 + 2556*v**2 + 561*v**2 to the form i + j*v + m*v**2 and give m.\nAnswer: 3086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5333*c + 131. Let l be q(-7). Round l to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*p**3*w**2 + 33938*d**3*p**2*w**2 + 1157*d**2*p*w**2 + 2*d**2*w**2 + 10*p**3*w wrt d?\nAnswer: 6*p**3*w**2 + 203628*p**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 5. Find the second derivative of z**o - z - 2*z + 3*z**5 - z wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((0 + sqrt(425))*-5 - sqrt(425)) + ((-2*sqrt(306))\/sqrt(2) + 1)**2.\nAnswer: -42*sqrt(17) + 615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sppfssnsffffpcsp. What is prob of sequence sspc?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21638, 21626, 21602, 21560, 21494, 21398, 21266?\n\"Answer: -x**3 - 5*x + 21644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 655 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86803, 347158, 781069, 1388536, 2169559, 3124138, 4252273?\nAnswer: 5553964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93.444 - 5.444. Sort -1\/4, z, 0.5, 2.\nAnswer: -1\/4, 0.5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*v**3 - 168*v**3 - 160*v**3.\nAnswer: -406*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 1 - sqrt(5)) + -3 + 1)**2 - (-5 + (-5 + (sqrt(5) - (sqrt(5) + sqrt(5) + 1 + sqrt(5))))**2) - (-2*sqrt(220)*2)\/(2*sqrt(539)).\nAnswer: -164*sqrt(5)\/7 - 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -48.6 (b) -0.42 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -4. Let g be 3 - (-4)\/60*-47. Put g, 1, z in ascending order.\nAnswer: z, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12006\/(-12) - 3\/(-2). What are the prime factors of (0 + 3\/(-9))\/(1\/w)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -397 divided by -5\nAnswer: 397\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5a6d7 (base 14) to base 5\nAnswer: 24032020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (66\/(-15) + 4)\/(2\/(-160)). Calculate the highest common divisor of v and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 - -25 - 3 - (3 + 0). Solve 0 = -5*x + m - 26 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777216 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-2*t + t + 0*t) - 8 + 2 + 2*t + 5.\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77635.87t to milligrams.\nAnswer: 77635870000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3332430691 to the power of 1\/2, to the nearest integer?\nAnswer: 57727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -390213 and 0.2.\nAnswer: -78042.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56.8 + -57. Sort -6, -1, h, 4.\nAnswer: -6, -1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0 + 4. Suppose -h*p = -3*r + 3, 2*r = 4*r + p - 13. Suppose -2*m = -2*j - 18, 3*m = -3*j + 4*j + r. Is j greater than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - 0)\/((-4)\/(-2)). Suppose 1 = a, n*b - 6 - 3 = -5*a. Suppose 23 = 5*m + 3*z, 5*z = -3*m + 4*m + b. What is the nearest to -1 in 0.3, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1310449\/64 + -20477. What is the common denominator of 47\/72 and c?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5 = 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3440525386 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-10026)\/(-30) + (-5 - (-432)\/40) + -7 and 111.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14535 and -16.1.\nAnswer: -234013.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11161 (b) -4 (c) 1\/10 (d) -1\/4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11941, -23879, -35815, -47749?\n\"Answer: y**2 - 11941*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 94.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfaa when four letters picked without replacement from afyvammqy.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 346*d**3 + 717 - 700*d**3 + 355*d**3 in the form j*d + m + q*d**2 + n*d**3 and give m.\nAnswer: 717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 2177 - 2175. Sort -4\/5, 3\/2, o.\nAnswer: -4\/5, 3\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 25. Let t(a) = -2*a. What is -f(d) + 2*t(d)?\nAnswer: -2*d + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 242.01287 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjmmmmyymymmmyy. What is prob of sequence jmm?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = -4*j + 65. Let v be ((-1)\/(j + 0))\/(21\/35). What is the second biggest value in v, 2\/11, 2.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 - 2*m + 2*m + (1 - 3 + 1)*(3*m**2 - 3*m**2 + m**2) + (1 - 1 + 1)*(-49 + 49 - 17*m**2)*(-2 + 1 + 2) - 4*m**2 + 740 - 740.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 35*x + 36. Determine u(3).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(66)\/(-2*sqrt(6) + sqrt(6)) - (sqrt(1375) + 1*sqrt(1375))\/sqrt(5)) + (0 + (0 + sqrt(176))**2*1)*2.\nAnswer: -13*sqrt(11) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -58*x + 112. Let n be y(2). Are n and -4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*b*f*x + b*f + 28*b*x + 221*f*x - 1656217*f wrt x?\nAnswer: 7*b*f + 28*b + 221*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 35234+-0.037\nAnswer: 35233.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98.72084 - 0.04084. Let w = v - 113.9. Let t = 97.32 + w. What is t rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4235*v**5 + v - 827.\nAnswer: -84700*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 250 - 149. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5\/((-70)\/(-272342)) - (-2 - 0\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2. Let y(l) = 3*l**2. Let d(p) = -19*h(p) + 6*y(p). Let r(z) be the second derivative of 3*z + 0*z**2 + 3\/2*z**3 + 0. Give d(r(a)).\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -9*n**3 - 5*n**2 - n - 3. Let y(w) = 18*w**3 + 12*w**2 + 2*w + 7. Let l(d) = -5*t(d) - 2*y(d). Determine l(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25 (b) 0.5 (c) -4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 93?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -172 - -171. Let a be (-5 + 4)*(-2)\/8. What is the nearest to -1 in z, -6, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 792111 to the nearest 1000.\nAnswer: 792000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 + 65. Let y = 8 + -6. Differentiate -9*c**p + y + 2 - 11 with respect to c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54726 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-33) - ((-5184)\/(-66))\/(-8). What is the second derivative of -31*h - 2 - 5*h**3 + x*h**2 - 9*h**3 - 35*h wrt h?\nAnswer: -84*h + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*t - 5*q, -4*q + 7 = -t - 2*q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 28, 17.\nAnswer: -17, 17, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/20*(-2 + -1). Put 2, -0.4, -0.09, a in decreasing order.\nAnswer: 2, a, -0.09, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*v - 28, -5*q + 59 = -2*v + v. Let u(o) = 2*o**2 - 15*o - 7. Let x be u(q). Let t = x - 55. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**9)\/d*d\/(d\/d**(1\/8))*(d**(-3\/8))**(-29) assuming d is positive.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-2\/7)*j*j))\/j)**19\/((j\/(j*j**(-5)))\/(j*j*(j\/j**(2\/7)*j)\/j))*j**(1\/4)*j**(-4)*j**(-2\/3)*j**(1\/2) assuming j is positive.\nAnswer: j**(-3257\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 8.1, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 + -97. Suppose -a*m + 15*m = 3468. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 less than 10638471?\nAnswer: 10638446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 480785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129500*v**3*z**4 + 10*v**3*z**2 + 17333*v**2*z**2 - 10*z**4 - 8 wrt z?\nAnswer: 3108000*v**3*z - 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2234754, -2234768, -2234784, -2234802, -2234822?\n\"Answer: -y**2 - 11*y - 2234742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 29 = -6*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 18707028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -908222 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30 (b) -2 (c) -7\/4 (d) 4 (e) -1 (f) -0.1 (g) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -70. Differentiate 11*c - 12 + 20*c + 2 - d with respect to c.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.799 + -27149.22\nAnswer: -27150.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/9 and ((-2442)\/1850)\/(2\/(-10)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23a (base 14) to base 2\nAnswer: -110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54922010.\nAnswer: 2, 5, 11, 13, 193, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/72984 and -77\/39762.\nAnswer: 483664968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 - 2*g**3 + 53448*g**2 + 53434*g**2 - 106886*g**2.\nAnswer: -2*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -0.0841?\nAnswer: 8.9159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 - (10 + -32 - (-53 + 27)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 1\/5 (c) -1.7 (d) 2\/11 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -19. Let f(x) = -x**3 - 8*x**2 + 3*x - 10. Let m be f(-8). Let w = g - m. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120570683?\nAnswer: 120570683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -250 - -1254\/5. Let v = -0.3478 - -4.4968. Let j = v - 0.149. What is the closest to r in -2\/5, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 2\/9, -2\/3 in ascending order.\nAnswer: -2\/3, 0.01, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -12067 <= -12033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3865.9 + -3890. Which is the nearest to -2? (a) o (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*d + 4*t, 4*t = 2*d - 6*d + 48. Solve d*v + 15 = 11*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 13*i - 31. Let v be q(9). Let x(g) = 5*g - 8*g + v*g. Let f(r) = 14*r**2. Determine f(x(k)).\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 4, q: 4, b: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 214300124 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4364474.3 rounded to the nearest 10000?\nAnswer: 4360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*t + 11, 0*g - 32 = -4*t - 3*g. Let m = 15.04 + -21.04. Sort -5, m, t.\nAnswer: m, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**3 - 5*g - 15*g**2 + 2*g**3 + 6*g as v + w*g**3 + i*g + l*g**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279936?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-40)\/l**(1\/17)*(l*l*l*l**(6\/23)*l)\/(l*(l\/(l\/l**(-19)))\/l) assuming l is positive.\nAnswer: l**(-6568\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 14*i - 25. Let a be g(9). Let z = a + -18. Suppose 0 = -o + 4*l + 11, -z*o + 3*l - 1 = -18. Calculate the greatest common factor of o and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61110 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/2 of a microsecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 89636736 divided by -6\nAnswer: -14939456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 - 2 + 2 + (1 - 1 - 2*l)*(-5 - 2*l + 5) - 2*l + 2*l - l**2)*(-18 - 156 + 2) in the form x*l**2 + o*l + z and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 425472433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-275)\/(-30)))\/(36\/(-120))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, i: 2, y: 6, b: 4, w: 2, t: 1}. What is prob of picking 1 t, 1 g, 1 i, and 1 y?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4, 0, 2, 1 in descending order.\nAnswer: 4, 2, 1, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 18*r**2 - r**3 - 2*r + 11*r**4 + 16*r**2 - 11*r**4 - r**4 + 2*r**4 in the form s*r**2 + p*r + v*r**4 + o*r**3 + q and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.14, 4, -2358?\nAnswer: -2358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 601107*c**6 + c**5 + c**4 - 312*c**2 + 25779*c wrt c.\nAnswer: 72132840*c**3 + 60*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t + 120*t**3 - 71*t + 18*t - 1 + 39*t.\nAnswer: 120*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 43. Let q = -353\/85 - -23\/17. Find the common denominator of q and (88\/4)\/(n\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164245 and 1228?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7\/(u**(-2\/19)*u)*u**(-5)*u**12\/u)**(3\/2) assuming u is positive.\nAnswer: u**(345\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let p(g) be the second derivative of g**6\/360 + g**4\/3 - 4*g. Let h(z) be the third derivative of p(z). Determine b(h(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + (sqrt(3) + 2 + sqrt(192) + sqrt(192))**2))*-4 - ((sqrt(3) - sqrt(9)\/sqrt(3)) + sqrt(3) + 1 + sqrt(24)\/(sqrt(8)*1))**2.\nAnswer: 268*sqrt(3) + 3471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 824 = 44*f, 4*s = 7*s + 2*f - 29 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 - -52. Let m = 1 - z. Suppose -1140 = -38*b + m*b. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3718 by 2.\nAnswer: -1859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 4 + 7 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - m - 3)*(13*m - m**2 - 7*m - 7*m + (-5 + 5 - 2*m)*(4*m - 2*m - 3*m)).\nAnswer: -m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1755 (b) -5 (c) -2\/3 (d) -3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**8\/6720 + q**6\/240 - 7*q**5\/60 - 4*q**2. Let j(r) be the third derivative of g(r). Differentiate j(y) wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -14*u. Let i(p) = -19*p + 1271. What is the tens digit of i(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -354 - -354.0000313. Round m to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23721*b**3*o**5 + 113*b**3*o**3 - 4*b**3*o**2 - 2*b**3*o - 108061*b**2 - 2*b*o + o wrt o?\nAnswer: -1423260*b**3*o**2 + 678*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -180*v**2. Let a(y) = 7*y. Give k(a(m)).\nAnswer: -8820*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -5.94. Let f = -92.16 - -94.16. What is the fourth biggest value in f, -2, 0.1, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**2 - 6 + 1\/3*p**3 + p. Determine u, given that a(u) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**2\/3 + 58016*d\/3 = 0?\nAnswer: -58016, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2825\nAnswer: -1\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 = -w, 2*w - 12 = z + 5*w. Let s = z - 1. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4500605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 6*t**2 + 11*t - 3. Let i be a(-9). Let z be (2\/(-3))\/(2\/i). Let o = -23 - z. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 5:31 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 23. Let n(z) = z - 184. Let i(v) = 8*b(v) + n(v). Let y(c) = -163*c**2 - 7. Determine y(i(q)).\nAnswer: -163*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41 and 5?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -7*t**3\/6 + t**2 - 2*t. Let m be ((-9)\/(-6) + -2)*10. Let q(b) = -3*b + 1. What is m*q(y) + 2*f(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1203790 to the nearest 10000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3332 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, -10, -23, -44?\n\"Answer: -4*n**2 + 7*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 51 = 18. Suppose n*c + 2131 = 20479. What are the prime factors of c?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32197 + 90036. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*1.33\nAnswer: 5.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -3*i**6\/10 + 2*i**3\/3 + 2*i. What is the second derivative of f(l) wrt l?\nAnswer: -108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -81*r**4 - 246663*r**3 + 191915*r**2 + 51783*r + 3046 = 0?\nAnswer: -3046, -1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*y - 45 + 35 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.147 + 0.153. Sort 3, r, 0.5.\nAnswer: 0.5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 13*q + 3. Calculate l(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121899511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1530 + 0?\nAnswer: -1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1149 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -26*-0.4\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168 + 405. Let s = 111 - r. Let h = s + 125.9. Which is the smallest value? (a) h (b) 6 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 10*x**3 - 94*x**2 + 30*x + 54 = 0.\nAnswer: -3\/5, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*t**3 + 473*t**3 + 1221*t**3 + 299*t**3.\nAnswer: 2254*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4\/2 + 306*s**3 + 4407*s**2\/2 + 2556*s - 5064 = 0.\nAnswer: -4, 1, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, s: 4}. What is prob of sequence hshs?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 9*h - 6. Suppose s = -t - 3*s + 12, 4*t + 24 = 2*s. Let w be 9*(-1 - (-6 - t)). Give r(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 0*r**3 + 5*r**3 + (25*r - 11*r + 23*r)*(4*r**2 - 5*r**2 - 2*r**2) - 15*r**3 + 179*r**2 - 179*r**2.\nAnswer: -124*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9521?\nAnswer: 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 10. Let s = -6 - y. Suppose 5*f - 58 = -5*g - 18, 5*f = -s*g + 44. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - w**2 + 3*w + 17. Let r be j(0). Solve r = -5*k + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -2.3\nAnswer: -0.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1477.\nAnswer: -5\/1477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-19*6\/(-4). Suppose -3*v = -15, 5*d - 63 - l = -2*v. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2, -0.0525, 0.1, -4, 3 in descending order.\nAnswer: 3, 2, 1\/4, 0.1, -0.0525, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*p**3 + 883*p**2*q**2 - 235342*p*q**2 wrt p?\nAnswer: 264*p + 1766*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**25\/o**(-9)*(o**(4\/15))**6 assuming o is positive.\nAnswer: o**(178\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 431.0555cm?\nAnswer: 4310555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9469757 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134 + 139. Suppose l*j + 3*v = 9*j + 1039, -2*v - 792 = 3*j. Round j to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*g**2 + 237*g**2 - 25*g**2.\nAnswer: 299*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -6\/11, 2, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (102\/(-12))\/(2\/(-28)). Suppose 3*k = -5*j + q, -3*j + 0*j + 69 = 3*k. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 20 - 1 = 0. Suppose -3*d + 0 - 8 = 5*j, 3*j = -4*d - 7. Sort s, -3, j in descending order.\nAnswer: s, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-483)*3\/(-2). Let o = -59\/60 - -9\/10. Let v = -1 + -4. Which is the third biggest value? (a) w (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Let p = -2 - -4. Let k(h) = 0 + j - p*h. Let s(b) = -3*b. Calculate s(k(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -31*b + 6*b - 34 - 40. Let g be c(-22). Let t = g + -308. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -228\/5 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -87661342*t. Let j(h) = -h. Give b(j(f)).\nAnswer: 87661342*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -3\/10 (c) -25681\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 147 - (6 + (-3 - 1)). Suppose 2 = 2*h, -5*m - 5*h = -0*h - n. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-85))\/(12\/1020)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, g: 14}. What is prob of sequence ig?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -25*t + 194. Give h(11).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 7. Let z be r(7). Let l(h) = -h + 22. Let t be l(z). Let g = -13 + t. Solve 2*o = -o - g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396749560969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 4*a - v - 8 = 0, -v = 0. Let x(s) = 7*s + 15. Let l(n) be the first derivative of 3*n**2\/2 + 7*n + 1. Determine a*x(y) - 9*l(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(1*sqrt(242) + sqrt(2)) - (2 + sqrt(22)\/(sqrt(33)\/sqrt(3)))) + -3.\nAnswer: -73*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38509.09 minus -4.56878?\nAnswer: 38513.65878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 336?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -43*d - 51. Let l(o) = 2*o**3 - 25*o**2 + 9*o + 26. Let t be l(12). What is the units digit of g(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 33. Let s be 675\/(-20) - (-4)\/(-16). Let m = p - s. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -146 + 231. Let w = 84.63 - d. Let v = w + 0.36972. What is v rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 414 and 1242.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358846012 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-19) + -2 - 14778\/342?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6 = 14, 2*i - 26 = -5*w. Suppose v = h - i*v + 12, -5*h = -3*v + 43. Let j(o) = -o**2 - 9*o - 6. Let c be j(h). Solve 7*b = c*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1346, 2755, 4200, 5681, 7198, 8751, 10340?\nAnswer: 11965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120 + -126 + (-3 - (1 + 2 - 33))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let q(y) = -17*y**2 + 10*y**2 - 4*y + 10*y**2 - 14*y**2. Give q(m(c)).\nAnswer: -11*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 4. Let b(l) = 4*l. Let h be b(k). Let r = h - 14. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**5\/10 + 5*k**4\/12 + 5*k**3\/6 + 5*k**2\/2 - 6*k. Let a(z) = -3*z**3 + 7*z**2 + 7*z + 7. Calculate -5*a(j) + 7*p(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2. Let u be -22 - (r - -10)\/(-3). Is 0 - u - (-6 + 4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 67\/5 + 90\/150. Let f(g) = 2*g + 40. What are the prime factors of f(x)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -231?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(224\/40)*2*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4\/25 + 308*y**3\/25 + 2178*y**2\/5 - 3008*y + 2560 = 0. What is y?\nAnswer: -80, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 19*b. Let n be c(1). Suppose -2*t + n = -t. Suppose -2*d = -t - 13. Solve -2*x = 2*x + d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*n + 6264 - 6264.\nAnswer: -72*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 474623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**6\/6 + 8*b**4 - 10*b**2 - 11*b + 265. What is the second derivative of x(s) wrt s?\nAnswer: -20*s**3 + 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -15 + 90 + -52.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 288525 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-6\/7)\/j)\/j*j)\/(j*j\/(j*j*j\/(j**(3\/7)*j)*j)*j))\/(j*j*j**(-2\/7))**(-11) assuming j is positive.\nAnswer: j**(123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhkklhhhhkkh. What is prob of sequence lhk?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8358 is divided by 1602?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1837055, -1837058, -1837061, -1837064, -1837067, -1837070?\n\"Answer: -3*p - 1837052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31553 and 2497.\nAnswer: 347083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 - (106 + -118)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/20 - 4284\/(-10). Suppose 5*q = -3*a + o, 3*q + q + 2*a = 344. What is the greatest common divisor of q and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 12)\/(2\/4). Let y be 12\/21 + (-48)\/r. Let n(m) = -m**3 - 4*m**2 - m. Let s be n(-4). Solve 0 = -s*o - y*w, 2*o = -0*o + 3*w + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (-48)\/18*(0 + 2). Which is the closest to -4? (a) -5 (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 6*v + 6. What is the units digit of (-1)\/v + (-110)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from abbbwbbapbba?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/177505 and 73\/542.\nAnswer: 355010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 3. Let n be v(-3). Solve n = 2*z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000036023748 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 30, -3, -3\/5.\nAnswer: -3, -3\/5, -0.2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -875069*n**2*s*u**2 + 60*n**2*u - 6529*n*s*u wrt u?\nAnswer: -1750138*n**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*t - 20. Let z = -8 + t. Let o be z - (-5 - (0 + 0)). Calculate the highest common divisor of o and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**6\/120 + v**5\/60 + v**4\/8 - v**3\/2 + 4*v**2 - 26*v. Let l(u) = u + 5. Let x be l(-3). What is c(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(36\/(-8)) - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 5*o**2 + 15*o + 8. Calculate j(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - y**2 + y - y + y**2 + (6 + 0 - 4)*(y + y**2 - y) - 93*y - 15*y**2 + 93*y in the form k*y**2 + v*y + c and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*z - 5. Let n(g) = -4*g + 44. Let q be n(11). Solve -z*r = p - q*r - 14, -p = r - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137 + -74. Is 23 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 435, 2, -9, -2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141 + -69. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 6:27 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -340, -700, -1072, -1462, -1876, -2320?\n\"Answer: -b**3 - 353*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**3*p**3 + 7*m**3*u - 3*m**2*n*p*u - 13*n*p**3 - 3*n*p**2 + 23*p**3*u wrt p?\nAnswer: -12*m**3 - 78*n + 138*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 - 76. Find the second derivative of -204*v + 24*v - 297*v**2 + f*v**2 - 33*v wrt v.\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 13 (c) -5 (d) -2 (e) 0.2 (f) 2\/217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 779?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1*4\/(-8)). Put -3\/2, -1\/3, -6\/11, q in increasing order.\nAnswer: q, -3\/2, -6\/11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -17*k**3 + k**2 + 14*k - 46. Let u(b) = 7*b**3 - b**2 - 6*b + 23. Calculate 5*u(g) + 2*x(g).\nAnswer: g**3 - 3*g**2 - 2*g + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/84)\/(695\/(-556)).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ab + -982?\nAnswer: -b2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 435 + -432. What is the biggest value in -56, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 2*j**4 - j**4 - 2*j**4 - j**4 + 2*j**4 + (j**2 + 0*j**2 - 2*j**2)*(-4*j**2 + 7*j**2 - 2*j**2) + 2*j**4 + j**3 - j**3.\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 10*h**2 + 20*h + 17. Let c(x) = -x**3 - 56*x**2 + 175*x - 106. Let s be c(-59). Calculate q(s).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521102267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 9*n = 12*n - 1, 4*b + n - 9 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -3)\/(-1 - -2). Let c = j - 5. List the prime factors of 36\/(-48)*(1 + c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*sqrt(50) + ((sqrt(28)\/sqrt(2))\/sqrt(7) - sqrt(2))*3.\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (18 - 9) + -9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q + 41*q + 39*q - 147*q + 29*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 663*j - 59634 = -17202 for j.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-2) + 2)\/(4\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*p + 256 + 4, 0 = -3*p - 6. Let d = -87 - -146. Let u = d - q. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20664539 is divided by 1476038?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0148 and 0.00197.\nAnswer: -0.000029156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1995?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 107?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + 3 - (1 + -2 + -1). Put g, -1, -5, 1\/3 in decreasing order.\nAnswer: 1\/3, g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + g**2 - g. Let r(u) = 4*u**3 + 2*u - 3 + 0*u + u**3 + 1 - 3*u**2. Determine -r(a) - 3*s(a).\nAnswer: -2*a**3 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000359766848 rounded to six decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssjslsvzj. What is prob of picking 1 s and 1 l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1862262786?\nAnswer: 2, 3, 139, 2232929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2\/7 + 8*l\/7 + 6\/7 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5857*v**2 + 20*v + 43. Let w be h(-31). Suppose -w = -17*q + 11*q. Round q to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2627, -4697, -6013, -6197, -4871, -1657?\nAnswer: 3823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366730*n + 4536 = 366838*n for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 1\/17, -0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/9499 and 18\/161?\nAnswer: 9499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1584) + 1).\nAnswer: -72*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - 303*f**3 + 5207*f**2 - 21945*f.\nAnswer: f*(f - 285)*(f - 11)*(f - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a - 45 - 123 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1098*w + 347*w + 626*w + (2 - 3 + 3)*(-3*w + 2*w - w) - 2 - w + 2.\nAnswer: 2066*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1475 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (12\/8)\/(2 - 27\/6)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from uuaaaaaaafzfaaad?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from kkgkkgggkkgkkkgkgck?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(((-20)\/(-4))\/(-185))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 8*l + 8. Let y be a(7). Suppose y + 41 = p. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwijivhwwhvwvww. What is prob of picking 1 j and 3 w?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 6*w**2 - w + 2. Let m be j(-5). Let u = m + -21. Let l = 6084 - 6007. What is the highest common factor of u and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) - (-2 + sqrt(5808))) + 0)**2.\nAnswer: -160*sqrt(3) + 4804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -38.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47 - 29) + -25 + (2 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 117? (a) -0.05 (b) -0.4 (c) -0.2 (d) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686783189.\nAnswer: 2269, 302681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -16*v + 3*b, 325*v - 320*v + 2*b - 23 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3829649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*s**2 + 4*s**6 + 5*s - 5*s + 9*s**6 wrt s?\nAnswer: 1560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d = 35*d - 19. What is the third smallest value in -1\/9, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**4 - 10633*m**3 + 3*m**2 + m - 795291?\nAnswer: -4*m**3 - 31899*m**2 + 6*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(1 - 2) + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -660*m + 3741. Determine b(6).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 6*p**2 + 8*p - 5. Let b be f(7). Let t be -13*1*(b - 3). Let j = t - 53\/4. Is -1 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21010 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/52 + 2\/13. Suppose 3*l - 6*l + 5*j + 6 = s, j - 2 = -l. Factor -2\/7*g**3 + 2\/7*g**l + 2\/7*g - 2\/7*g**4 + 0.\nAnswer: -2*g*(g - 1)*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsxaacnxsccxsgx. What is prob of sequence xsn?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -26*p + 78. Let t be b(-19). Let s = 1191 - t. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 145512 and 18?\nAnswer: 145512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*a*k**3 - 5*a*k*s**2 - a*s**2 + 14*k**3*s + k**3 - 3*k**2*s**2 - 5*k**2 wrt a.\nAnswer: -8*k**3 - 5*k*s**2 - s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000251 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**3 - 52*r**2 - 2*r + 32. Calculate u(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**3\/3 - 5*z**2\/2 + 6*z + 2. Suppose -77 = 7*c - 287. Let o = -35 + c. Calculate w(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -4\/93, 0.6, -385 in increasing order.\nAnswer: -385, -2, -1, -4\/93, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2545 - -1?\nAnswer: -2544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(0*j**3 - 3*j**4 + 0*j**3) - j**4 - 7 + 0*j**4 + 4.\nAnswer: -7*j**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**8*c*c)\/c*c*c\/c**(-2\/3)*c*(c**(-8)*c)\/(c*c*c**(-6)*c) assuming c is positive.\nAnswer: c**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 8 - 3*q - 15)*(3 - 1 + 0) to the form u + r*q and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3633*z + 82. What are the prime factors of o(-1)?\nAnswer: 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/(-3864)*23 + (-480612)\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-42)\/6)*-9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24485608252192 and 6?\nAnswer: 24485608252198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**14*s**(1\/35))**(7\/3) assuming s is positive.\nAnswer: s**(491\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 2*m**2 + 13325*m + 66456. Calculate k(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001001011000101 (base 2) to base 6.\nAnswer: 2525021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 15 = -3*n. Let p(v) be the second derivative of v**4\/12 + v**3 + 2*v**2 + 6*v. Let m(w) be the first derivative of p(w). Determine m(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1934952*j*m**2 - 669*j*m - j - 8*m - 14 wrt m.\nAnswer: -3869904*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 306551671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 124 in 0.036, 1, -0.1, 2, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3 - 3)*(2 - 3 + 2)*(10*z**2 + 0*z + 0*z).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*z**2 - 50*z**3 + 16*z**3 + 3 + 22*z**3 as a*z**3 + y*z + o*z**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 4025298*v - 48303432.\nAnswer: -(v + 12)*(v + 4025286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + 312401341?\nAnswer: 312401412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451502143 (base 6) to base 14.\nAnswer: 1137c07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1043 + 1?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -23358 (base 9) to base 8\nAnswer: -36365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 4\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49156*q - 49153*q + 30 = 5*x, 0 = -2*x - 7*q + 53 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19, 94, 227, 418, 667, 974?\n\"Answer: 29*p**2 - 12*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5\/9 + 28*b**4\/9 + 32*b**3\/3 - 28*b**2\/9 - 98*b\/9 = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or 129515\/4?\nAnswer: 129515\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10244290 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**26\/v*v\/(v*v**7*v) assuming v is positive.\nAnswer: v**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q - 1. Let p = 73 + -68. Give v(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_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 92057.53 millilitres in litres?\nAnswer: 92.05753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 33 = 7. Suppose -4*s = 4, s = -5*n + 2*n + r. Calculate the remainder when n is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -244*m + 241*m + x - 17, -2*x = 4*m + 6. Let l(n) = -2*n. Let o(v) = -1. Let c(y) = -l(y) - 4*o(y). What is c(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 456 - 365. What is the highest common divisor of r and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/144 and (-144)\/(5 + 7) - -11 - 134\/(-240)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 1. Let n(p) = 10*p - 4. Let y = -33 + 47. What is y*v(b) - 3*n(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 183. Calculate the remainder when f is divided by 46.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12058, -11896, -11720, -11524, -11302, -11048?\n\"Answer: q**3 + q**2 + 152*q - 12212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/(-92))\/(8\/((-3072)\/(-8))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26164 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7129916249?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 - 54. Suppose -24 = -3*g - 9. Let x = s + g. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**4 - 2*o**2 + 3*o - 78*o**2 - 18*o**2 to the form z + g*o + r*o**2 + i*o**3 + d*o**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((1\/5)\/(-1)). Suppose 3 = v, -98 = 2*t - 7*v + w*v. Let c = -45 - t. Which is bigger: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 4, k: 4, p: 10, u: 1}. What is prob of picking 1 p and 1 r?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 4:40 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 + 18*h - 4*h - 18*h + 3*h + 257 as c + o*h + j*h**3 + m*h**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uloovbq. What is prob of picking 1 l and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -3. Let y = 9.4 + c. Put -1\/3, 4, y in descending order.\nAnswer: 4, y, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n - 6. Let q be (15\/2)\/(n\/(-6)). Calculate the greatest common divisor of q and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10826 + -10959 - (-66 + 1)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 10:29 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 0*j + 4*j**2 + 2 - 3 - j**3 - j. Let s be g(3). Suppose -3*p - r - 129002 = -0*p, r = s*p + 214998. What is p rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, 2358623.\nAnswer: -9, 5, 2358623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-1) + (35\/7 - 6). What is the second derivative of -69*x**3 + f + 1 + 2*x - 80*x**3 + 2 + 3 wrt x?\nAnswer: -894*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6594175799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3003045 is divided by 3885?\nAnswer: 3825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0 - -1)\/(-1). Let v be 20\/3*(-2)\/(56\/(-21)). Sort y, 1, -5, v.\nAnswer: -5, y, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*v + 275*v = -3*h, 0 = -2*v + 3*h + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92*976\/2208 + 3\/9?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -1\/280*i**7 + 0*i + 1\/32*i**4 + 0 + 0*i**3 - 1\/160*i**6 + 1\/80*i**5 + 4*i**2. Factor u(k).\nAnswer: -3*k*(k - 1)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (5 + (-126)\/26 - (-4020)\/65).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/55 - 1567\/165. Let c be 105\/(-75) + 129\/85. Which is bigger: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 1. Let r be q(-1). Solve 2*d - 2 = r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, x: 2, f: 9, h: 3, m: 1}. Give prob of picking 2 u and 1 m.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 14*g + 2. Let y be w(28). Suppose -z - f = z - y, -5*z = -f - 992. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 86.68101 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 411429002 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*q - 333, q - 3*q - 3*z + 222 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - w - 5. Let t be b(0). Let q be (33\/22)\/((-6)\/20). Let a = q - t. Solve a*v = -4*v - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109 + 5*r**2 + 49 - 5*r**2 + r**2 to b*r + p + l*r**2 and give p.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-4))\/(20 + 765\/(-34) + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8344431 (base 10) in base 13?\nAnswer: 1962144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.9 rounded to zero decimal places?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-140)*-5)\/(7\/28). Do j and 1.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 75 = -8*j. Differentiate -6 + 8871*a**3 - 33 - 8647*a**j wrt a.\nAnswer: 672*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*(24\/(-21))\/4.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 35*b**2 - 5*b - 35.\nAnswer: 5*(b - 1)*(b + 1)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -996, -994, -990, -984, -976, -966, -954?\nAnswer: -940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 6*k - 270. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 11:31 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3949994 and 610?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -590530\nAnswer: 1\/590530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t. Let c(d) = 939*d**2. Determine c(r(b)).\nAnswer: 3756*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1745\/26873*(-21)\/(-15).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 1 - 1)*(-3 + 2 + 3)*(-25*w + 25*w - 6*w**2).\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 229202969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 28, -6 in decreasing order.\nAnswer: 28, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -275 + 420. Suppose 5*r + k = 420. Round r to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 2:56 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*f - 4, 0*f + 3 = -3*f + p. Let h = 5 - f. What is the greatest common divisor of h and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002847 to 4 dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1176)*2)\/((-1*sqrt(88)*6)\/sqrt(11)).\nAnswer: -28*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2796714 is divided by 2710?\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1385*g**2 + 62*g + 89398?\nAnswer: -2770*g + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.33 in -3\/5, 255\/11, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zooz when four letters picked without replacement from {o: 6, z: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g**2 - 83*g + 12. Let s = 168 - 180. Let u be h(s). What is the third biggest value in -0.5, u, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7 + -14 + 18 + -9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 7. Suppose 2*m + s - 32 = 0. Suppose m*h = 174 + 666. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/12)\/(19\/(9120\/(-45))). Let u = 9 + -6. Suppose -3*v + 6 = 2*z - 0*v, 5*z - 2*v + 23 = 0. Sort 0, u, z, n in increasing order.\nAnswer: n, z, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7218, 14418, 21618?\n\"Answer: 7200*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 31 + -14 + (-4 - (0 + -2))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3265, -6614, -10051, -13576, -17189, -20890, -24679?\n\"Answer: -44*u**2 - 3217*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12639 (base 10) to base 16.\nAnswer: -315f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447130.\nAnswer: 2, 5, 61, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57.8 - -14.2. Let g = 1025674\/5 + -205135. What is the third smallest value in b, g, -4\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 60, 2, 7\/186, 1 in increasing order.\nAnswer: 7\/186, 0.1, 1, 2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c**2 - 15*c**3 - 13*c**4 + 20*c - 119*c**5 - 2*c - 2*c**4 + 116*c**5 = 0. What is c?\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 670\/(-4)*(-3 + 5). Let y be d + (-1 - 2)\/(-3). What is the units digit of y\/(-10) - (-3)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.713 - 3.013. What is the smallest value in s, -73, -3?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 212418196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24699266*j**4*l - 13502138*l wrt j.\nAnswer: 98797064*j**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, 0.3, 1, 0.6, 3.\nAnswer: -2, 0.3, 0.4, 0.6, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 275028*-720\nAnswer: -198020160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -966 - 34810*b**2 + 482 + 484.\nAnswer: -34810*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - (2 + -3 + -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1572833 and -20.2.\nAnswer: 1572812.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -311 + 209. Let g = -100 - n. Solve -4*m = g*l + l, 5*m - 23 = 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99 * -0.095743.\nAnswer: -9.478557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.09 and 1007253431194.\nAnswer: 1007253431193.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*g - 2126 = 1926 - 326 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**5\/30 + 2*b**2. Let a(o) = 49. Let p(i) = 13*i + 58 + 9*i - 37*i + 16*i. Let k(v) = 5*a(v) - 4*p(v). Give w(k(z)).\nAnswer: 32*z**2 - 208*z + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -988 divided by -19.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*j + 42*j - 81 = 0. Let k = j + 86. Solve 32*l**3 - 5*l**2 + 15*l - 31*l**3 - k*l**2 + 10*l = 0 for l.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3068631163.\nAnswer: 13, 547, 431533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f - 2*f)*(-4 + 2*f**4 + 4) + (0 + 0 + 2*f)*(-3*f**4 + 0*f**4 + f**4) - 4*f**5 + f**4 - f**4.\nAnswer: -10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 64 = 9*t. Calculate the remainder when 138 is divided by t\/16*66 - 5.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000 - 11100111?\nAnswer: -1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 10*z**2 + 9*z + 22. Let l = -17 - -26. Let w be j(l). Calculate the highest common factor of w and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -13064.\nAnswer: 1306.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 2 + -86 + 134?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2523 - -1201?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1210064327?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4669 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 122637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**5\/5 - 5*o**4\/9 + 16*o**3\/3 - 32*o**2\/3 + o - 229. Solve y(f) = 0 for f.\nAnswer: -4, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-15))**12\/(((w*w**30\/w)\/w*w)\/(w*w**(-6\/13))) assuming w is positive.\nAnswer: w**(-2723\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.096 times 2.41\nAnswer: -0.23136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z + 13. Let w be r(2). Let u(j) = 11 + 10 - 26 + 5*j + 2*j**2 - w*j**2. Let g be -1 + (-4)\/(12\/(-15)). Determine u(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 2:04 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/(((-3916)\/(-6853))\/((-184)\/(-42) - (-8)\/(-2)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -0.92, -4 in descending order.\nAnswer: -0.92, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 100118676 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 3:23 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9, 4, 4\/3, 1.36, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5*5)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 311456 or 311455?\nAnswer: 311455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28911018 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5202\/13 - 400. Let x = -142\/153 - -12\/17. Let u = 697\/3 + -4877\/21. Which is the closest to k? (a) 1\/4 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*s - 11008 + 5092 = -2430 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 4, 1 in decreasing order.\nAnswer: 6, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b**(-1\/19)*b))*b**(1\/40)\/b*b*b\/b**7*b\/b**(23\/3)*b assuming b is positive.\nAnswer: b**(-24383\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.01, 2\/5, -2\/9, -0.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cil when three letters picked without replacement from rliicl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39010 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 f, and 2 o when four letters picked without replacement from {j: 1, i: 1, d: 6, q: 1, o: 3, f: 1}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5903 is divided by 1475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -285\/728 - -3\/182. Which is the nearest to -8\/11? (a) s (b) -0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8758*k = -8748*k - 40 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2920 - -10?\nAnswer: -2910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 32 = -10*f. Suppose f = -0*w + 4*w. Suppose -3*n + 321 = 3*m - w*n, 5*n = -m + 121. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from rrlrrrrlrrrrr?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 + -161 - (-13 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(930\/8))\/((-40)\/80*(-84)\/(-9)).\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6*o - 24 = 0. Let h = o - -82. Calculate the highest common factor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.038133.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403317 is divided by 80661.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -201826 * 0.47.\nAnswer: -94858.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) 2\/5 (b) 19 (c) 1 (d) 1\/13 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**2\/7 - 4356262*y\/7 + 2178130\/7 = 0. Calculate y.\nAnswer: 1\/2, 1089065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 43*o - 40*o + 8, -3*o - 18 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3105 + -1611. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 163\/1610 - -13\/115. Which is the closest to -1\/4? (a) -1\/6 (b) w (c) -2\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8975 divided by 107.\nAnswer: -8975\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -172*n**2 + 3. Let v(s) = -2*s**2 + 13*s - 7. Determine v(m(h)).\nAnswer: -59168*h**4 - 172*h**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1525524.\nAnswer: 2, 3, 7, 11, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*q + 1)*(-1 + 5 - 3) - q - q + 0*q + q + q - 4*q to o + w*q and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/6275 or 1?\nAnswer: 2\/6275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, r: 3, n: 7}. What is prob of sequence nirr?\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -5 (c) -0.3 (d) 10 (e) -135 (f) -0.6 (g) -16\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, d: 5, c: 3}. What is prob of sequence cclc?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l + 34*l = 4089. Suppose 51 = -l*q + 90*q. Let d = 72 + 47. What is the greatest common divisor of q and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2 + 2. Suppose 4*x + 11 - 3 = 0. Let r be s(x). Let g be (6\/r)\/(12\/8). Which is the nearest to 1\/3? (a) 3 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 6:29 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**4\/12 - 8*f**3\/3 - 9*f**2 - 5*f. Let b be u(17). Let m(z) = -z. Let c(w) = 2*w. Give b*m(r) + c(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**3 - 4*a**2 + 16*a + 47. Let n(d) = -8*d**3 + 12*d**2 - 46*d - 138. Let z(s) = 11*l(s) + 4*n(s). Give z(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*g**4 + 272*g**3 - 100*g**2 - 728*g = 0. Calculate g.\nAnswer: -7\/5, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3) - (-24059)\/7365.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4420)\/16575)\/((-2)\/(-1)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.004312 millennia to decades.\nAnswer: 900.4312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((128\/(-72))\/4)\/(1940\/(-6984)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176658 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 7*t - 3*t**2 - 6 + 13*t. Let z(c) = -9*c**2 + 20*c - 17. Let k(u) = 17*i(u) - 6*z(u). Let n be (141\/846)\/(2\/(-12)). What is k(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128*0.32\nAnswer: -40.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 13, 1\/86, 1\/7, 0.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skuk when four letters picked without replacement from rsssssrssusskk.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3 + 21. Suppose -5*f + 221 = -499. Let o = f - 140. Solve -s + z*s = 10, -o*w + s = 22 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-6)*(492\/60 - 10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a tonne in kilograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35838766 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/c**(-1\/5)*(c**0)**(-43))**(3\/29) assuming c is positive.\nAnswer: c**(33\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 130*i - 39655.\nAnswer: 5*(i - 77)*(i + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(-2*sqrt(432) + sqrt(432)).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24, -17, 6, 51, 124?\n\"Answer: b**3 + 2*b**2 - 6*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/21 + 10\/3. Suppose 5*m + 4*n = 2*n - c, 0 = -m - 2*n + 4. Round m to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**4\/4 - 25077*q**3\/4 + 1351445*q**2\/4 - 5079819*q\/4 + 1876725\/2 = 0.\nAnswer: 1, 3, 50, 25023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1 - (-9 - -5)) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 - -38b?\nAnswer: 39c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36859, 147390, 331609, 589516?\nAnswer: 921111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 85\/3. Suppose -2\/3*b**3 + 1\/3 - 2\/3*b**2 + 1\/3*b**4 + s*b + 1\/3*b**5 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.2 - 3.6. Let i be 602\/12 - (-2)\/(-12). Let q be (-16)\/30*i\/20. What is the closest to -2 in q, k, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25609471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434*o**2 - 8*o**3 + 14*o**3 - 874*o**2 + 440*o**2 - 13*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*y**2 - 1409*d**3*y - 3*d**2*y**2 + 319*d**2*y wrt d.\nAnswer: 6*y**2 - 8454*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - c + 13. Let d be w(0). Let p = 18 - d. Suppose 17*y - 62 = 40. Solve 0 = 2*s - y*s - 3*m + 25, p*s = 3*m + 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8*z = 6*z + 26, -5*g = 2*z - 74. Let k = -5 + 8. Suppose -n - g = -k*n. Calculate the smallest common multiple of 1 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1469302, -1469321, -1469342, -1469365, -1469390, -1469417, -1469446?\nAnswer: -1469477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 2 - (37 + -4). Let o be (28\/g)\/(1\/(-5)). Find the third derivative of -d**4 - 4*d**o + 2571*d**2 - 2544*d**2 wrt d.\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-31*u - 130*u + 8*u + (1 - 2 + 0)*(-3*u + 2*u + 2*u)) + (2 + 2 - 2)*(3*u - 2*u - 3*u) + 0*u + 3*u - 2*u.\nAnswer: -311*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -29*h**2 - 87*h - 4. Let s be w(-3). Sort s, -2, 122 in decreasing order.\nAnswer: 122, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7599 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*t + 4836*t**5 - 4408*t**5 - 5 - 2*t**4 + 4 wrt t.\nAnswer: 8560*t**3 - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(4 + 56\/(-12)). Let k(s) = -5 + 14*s**3 - 10*s**3 + 2*s**2 + 4 + 3*s + 3*s**2. Let l(i) = 0*i**3 + 4*i**2 - i**3 - 5*i**2 - i. What is j*l(m) - k(m)?\nAnswer: -m**3 - 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/2 (c) 352512\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26729 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*d**2*o**2 - 954*a + c*d**2*o**2 + 18*c*d**2*o + c*d**2 + 6577*c*o**2 - 2*d**2*o wrt o.\nAnswer: 4*a*d**2 + 2*c*d**2 + 13154*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1673, 1662, 1651, 1640?\nAnswer: 1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 120?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 - 35 - 77)*(-35*o + 18*o + 34*o**3 + 17*o).\nAnswer: -5406*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 6*q**2 + 322. Let p(n) = -6*n + 3*n + 2*n. Calculate 18*p(i) + y(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 31*x - 23*x. Suppose 5*u - 3*i - 7560 = 2*i, 3*i + x = 0. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1. Let y(k) be the second derivative of 6 + 3\/2*k**2 + 1\/6*k**3 + k. Let i be (3\/6)\/(-1)*2. Determine i*y(c) + 2*z(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**5\/15 + 13*o**2. Let r(c) = -26*c. Give r(p(l)).\nAnswer: 104*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/10)\/a**3)**8)**(11\/7) assuming a is positive.\nAnswer: a**(-1276\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/20333304?\nAnswer: -7\/20333304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*(-69)\/(-6) - (0 - 3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 13. Let m be o(-9). Let h(g) = -1 + 9*g - m*g + 7*g. Calculate h(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 2, -31.9.\nAnswer: -64, -31.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11423 = -5995*x - 5428*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*m + 2*m + 5*s - 13, 4*s - 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*o**2 + o**3 + 11*o**2)*(-26 - 12 + 16).\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 5*d**2 + 4*d + 2. Let a be h(-4). Solve -2*y = -a*f + 6*f + 14, -5*f = -3*y + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224154751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h + 12. Give b(-11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1982003 = o, -3*o + m + m + 5946002 = 0. What is o rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1997 - 356 + 355)*(-2*l**3 + 0 + 0) + (l**3 - l**3 + 2*l**3)*(0 - 1 + 0) + (-2*l + 0 + 0)*(-l**2 - 3*l**2 + 5*l**2).\nAnswer: 3992*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - z**2 + z**2)*(3*z**3 + 0*z**3 - 4*z**3) + 8*z**5 + 7*z**5 - 7*z**5.\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y**2. Let l(g) = -947*g**2. Give l(a(w)).\nAnswer: -76707*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 j, and 1 d when four letters picked without replacement from njjyuujdjdndjyu.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2. Let d(j) = 18943*j**2. Determine d(l(b)).\nAnswer: 75772*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, w: 4, o: 2, a: 2}. What is prob of sequence aaw?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*h - 131714, 3*v + 396 = 369. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**2 + 19*v**2 - 30*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4267 = -2*t, 3*t - 5878 = 2*a + 522. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + a**2 - a - 1360551. Let c be z(0). Let q = -660551 - c. Round q to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 2. Suppose 6*c - 2*c = 0. Let w be d(c). Suppose -5*q + 11 = -4*x, -4*x = -2*q - 0*q + 2. Sort w, q, 4 in descending order.\nAnswer: 4, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43689054?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -621860495.35 and 0.2.\nAnswer: -621860495.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16 from -478394466.\nAnswer: -478394482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 167911 to the power of 1\/2, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49784 by -1016.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000807834729 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24221*p**2 + 62384 with respect to p.\nAnswer: -48442*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 35 = -51. Let q(o) = 2*o**2 - 3*o - 3. What is q(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*a + 28 = 3*p, 3*a = -2*p + 13. Let j(i) = -i**3 + 17*i - 8. Let u(h) = 2*h**3 + h**2 - 37*h + 17. Let n(w) = 9*j(w) + 4*u(w). What is n(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23956 - 4?\nAnswer: 23952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 35*w - 44. Let k(x) = -24*x + 31. Let f(v) = 5*b(v) + 7*k(v). Calculate f(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 25*w**2 + 19*w - 114. Determine a(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 44*w + 85267. What is c(315)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -579.3101 - 872.1?\nAnswer: -1451.4101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3011 or 3013?\nAnswer: 3013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.096 - 0.096. What is the nearest to -1 in 0.1, 2\/7, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 8 - 22 = 0. Let q(m) = m**2 - 5*m - 10. Let x be q(f). Let p(i) = i - 8. What is p(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60 in -0.2, 2\/41, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 666 + -666.00000543. What is n rounded to seven dps?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (415 - 698 + 357)*(-3*z**4 + 5 - 5 + (3*z - 2*z**2 - 3*z)*(z**2 + 0*z**2 - 2*z**2)).\nAnswer: -74*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z. Let p be z + (1 - 1)\/3. Solve s + 2*g + 3 = p, 29 = 4*s - 4*g + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhmhuhuhhhwukum. What is prob of sequence mhkh?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 284.6 - 285. Which is the closest to 2\/5? (a) 2 (b) -16 (c) q (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**4 + 4*n**3 - 313*n**2 wrt n.\nAnswer: -24*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -265*i - 1583*i + 15530 - 15531 in the form r*i + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/2)\/12)\/2*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 336 + 84. Let a = i + -20. Suppose 5*u = -l + 58, -5*u + l - 4*l + a = 0. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z - 13, -13*z + 10*z = 3*p - 15219. Calculate the highest common divisor of p and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 - 0.03. Which is the biggest value? (a) j (b) -2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from krkkkjjjqrrk.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -12881*f - 23. Let y be d(17). Round y to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -15, k + 29 + 52 = 19*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -10*d - 7. Let k(y) = -y - 1. Suppose -2*v - 5*g + 379 = 0, -15*g + 17*g - 10 = 0. Let b = 183 - v. Calculate b*k(s) - n(s).\nAnswer: 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79325 and 2375?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14d53 (base 14) in base 2?\nAnswer: 1100101100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 343021040 - 4?\nAnswer: 343021031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9)\/(s\/s**(-13)) assuming s is positive.\nAnswer: s**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7252607*z**2 + 744850 wrt z.\nAnswer: 14505214*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3383, 31, -4, 4, -2, 45 in decreasing order.\nAnswer: 45, 31, 4, -2, -4, -3383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16831 - -16832. Let z be ((-195)\/(-99) - 3) + 1. Which is bigger: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 1, c: 4, a: 3, q: 1, k: 2}. Give prob of picking 1 t and 1 l.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 251, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*c + 7204 = 0, -21638 = -3*y + 12*c - 14*c. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3179341 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - f - 5*f)*(185 + 213 + 137) as s + w*f and give w.\nAnswer: -2675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 23*r**3 + 9*r**2 - 2*r. Let p(i) = 11*i**3 + 4*i**2 - i. Let c(d) = 2*k(d) - 5*p(d). Determine c(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -746062 or -2?\nAnswer: -746062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h. Let c(m) = 2126*m**2 - 98*m - 7. Let x(v) = -107008*v**2 + 4928*v + 352. Let z(p) = 352*c(p) + 7*x(p). Calculate a(z(y)).\nAnswer: -4928*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4813225 and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 28758.4 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + q**2 - q + 44. Let t be z(0). Suppose -3*f + 2*h = -1471 + t, 2380 = 5*f - 3*h. Is ((-4)\/(-1))\/2 + f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, 23.2, -1.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-45))\/(2\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzwwzzwwwwzwwzwwwww. What is prob of picking 3 z?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + g**3 - g**3)*(2*g - g**2 - 2*g) + 3*g**5 + 13*g**5 + 5*g**5 - 2 + 2 - g**5.\nAnswer: 21*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 172\/7, -1, 2, -0.2, -8\/5.\nAnswer: -8\/5, -1, -0.2, 2, 172\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f\/(f\/(f\/f**5)*f))\/f)*f**(-12))\/(f**(-1))**(-9\/4))**(-31) assuming f is positive.\nAnswer: f**(775\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71900 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 7*n + 5*i, -2*n + 32*i - 36*i + 10 = 0. Let v(t) = 7*t**2 + 2*t - 1. Let a(u) = -u**2. What is n*a(f) + v(f)?\nAnswer: 4*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -7*z - 784, -3*p - 16*z + 15*z = -728. What is the remainder when 1147 is divided by p?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -100\/43, 2\/21, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3. Let v = 4 + u. Calculate the lowest common multiple of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2911, 6822, 10733, 14644?\n\"Answer: 3911*i - 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 399550999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5157 - 5129 = -7*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v**2 + 2*v + 1. Let b(l) = 26*l**3 - 21*l**2 + 7*l + 3. Give b(d) - 4*h(d).\nAnswer: 26*d**3 + 3*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27451380 is divided by 9666.\nAnswer: 9606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5792948*g*u**3 - 4*g*u**2 + 3*g*u + 519*g + 2*u**3 - 3*u - 2398 wrt u?\nAnswer: 34757688*g*u - 8*g + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98737580.\nAnswer: 2, 5, 4936879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 189, 176, 145, 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (89\/9 + -3)*-3 and (-192)\/(-84) - (-459)\/(-168).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 519 - 524. Let m(l) = 3*l + 22. Calculate m(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 179476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.59 + 5.589990764. What is b rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/16998 and -45\/104.\nAnswer: 883896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 326 + 44?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-450*l + 210*l + 217*l + 3)*(0*l + 0*l + 5*l).\nAnswer: -115*l**2 + 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138553 and 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**3\/3 + a**2\/2 - a + 2. Let i(f) = 7*f**2 + 6*f - 7. Calculate 5*g(b) - i(b).\nAnswer: -2*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 285739?\nAnswer: 285739.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*i + 2050*i + 835*i + 1 - 305*i.\nAnswer: 2355*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0. Let c be 5 - ((-3 - -1) + (-691)\/(-99)). Which is bigger: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 1:19 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 0*m - 7*m + 0*m - 1. Suppose 0 = -5*q + 5*u + 15, 3*u + 15 = -3*q - 0*u. What is h(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 265353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q. Let v(n) = -n. Let l(u) = -t(u) + 5*v(u). Let k(i) = -3*i**2. Determine l(k(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (38\/(-57))\/(4\/12). Which is the nearest to -1\/4? (a) -4 (b) -0.1 (c) -16 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1273*o - 1264*o + 2538*o + 7069 + 1148 in the form l*o + b and give b.\nAnswer: 8217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11063106 to the power of 1\/2, to the nearest integer?\nAnswer: 3326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35861, 34674, 33487, 32300?\n\"Answer: -1187*r + 37048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -3*z + 8, j - 3*z - 2 = 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, r: 1, h: 1, m: 1}. What is prob of sequence rvh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 21*t - 15. Is d(19) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, 96, 231, 420, 663, 960?\n\"Answer: 27*y**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -732\/5 + 147. Put u, -4, -1 in ascending order.\nAnswer: -4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -30, 23, -2\/3, -1\/7?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 8 = -5*l, 1256*z + 40 = -5*l + 1261*z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7283 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 7*a - 52. Let o be c(-12). Let h be 10 - (-1 + 0 - -1). Suppose 0*r = -2*r + h. Solve -2*m + o = n, -m + r = n + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6755\/12 + 1115\/2. What is the common denominator of (-376)\/(-6580)*(-133)\/(-8) and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11749 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -18*j - 2. Calculate b(8).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*a - 3 = -60*a, -4*d - 2*a + 26 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) 4\/7 (c) 7.2 (d) -1.1 (e) 4 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/154*6433\/(-18380)?\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-14)\/6 - 820\/(-6). Let x = a - 132. Suppose -2*c = 2*c - 8. Solve -5*s + q = c*q - 15, x*q - 15 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 25. Let i be (-81)\/6 + -1 + 1. Let q = v + i. Which is the third biggest value? (a) 0.3 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5)*1 + -2) + -4 - -3*(sqrt(10) + sqrt(10) + sqrt(1210)*1)\/sqrt(2).\nAnswer: -6 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.6 + 9.6. Let j = 0.3 - -8.7. Let u = -9.5 + j. Which is the smallest value? (a) m (b) 4\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -21214563.94949.\nAnswer: 21214563.54949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - 101*g**2 + 53*g - 134. Calculate m(50).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -14.1. Let n = g + 5. Let s = -1 + 0. What is the closest to n in 2\/7, s, 4\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -38*r + 262. Calculate the remainder when 86 is divided by i(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 h when three letters picked without replacement from {c: 9, h: 3}.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37484, 74987, 112490?\nAnswer: 149993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ommooaam. Give prob of sequence mm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 6. Let a(t) = -3*t - 11. Suppose -9 = f - 4*c, 4*c - 1 = -4*f + 3. Let z be 1 + 4 - -2 - (0 - f). Give z*a(b) - 11*q(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + -0.25. Let z = 0.7 - o. Which is the smallest value? (a) 0.1 (b) 3\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 less than -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*((sqrt(12)\/sqrt(4)*-2 - (sqrt(192) + -1*sqrt(192) + sqrt(192))**2) + (6*-4*(sqrt(3) + 0))**2)*6.\nAnswer: -55296 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -16*i + 56. Let d be a(1). Calculate the highest common factor of d and 1460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 3*w + 17, 68 - 62 = -w + 2*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -351 + 1748\/5. Which is greater: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*m + 35452 = 0, -1545*m - 106406 = -3*r - 1547*m. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, 1, -5 in ascending order.\nAnswer: -12, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6825021, 3, -3 in decreasing order.\nAnswer: 6825021, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 - 4*v**3 + 2*v**3 + (-2*v**3 - 52*v**2 + 52*v**2)*(-2 + 5 + 0) + 5 - 3*v**3 - 5 as b + z*v**2 + q*v + o*v**3 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*1\/2*36\/(-90).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((5 + sqrt(7) + sqrt(7) + -3 + sqrt(7))**2 - sqrt(7)).\nAnswer: 11*sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 103 = 5*f, n = 2*f - 2 + 35. What are the prime factors of n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/((-11)\/33)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-33))\/n**(-36)*((n**(1\/25)\/n)\/n)**(-2\/77) assuming n is positive.\nAnswer: n**(1114\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**5\/20 + v**4\/12 + v**2\/2 - 4*v. Let j(c) = 4*c**2 - 11*c + 2. Let o(x) = -j(x) + t(x). Is o(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r = -3*p - 2, 0 = -3*r - p + 14. What is the least common multiple of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 0*r + 4*r - 2*r - r + 2*r + (r + 3*r - 2*r)*(1 + 0 - 3) + 2*r - 2*r - r - 3*r - 3*r - 5*r.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -1\/4, -1.028, -3 in descending order.\nAnswer: 1, -1\/4, -1.028, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 - 4869*p**4 - 4868*p**3.\nAnswer: -p**3*(p + 1)*(p + 4868)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 - 136. Is v <= 78\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 16, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ba77 - 1?\nAnswer: 1ba76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 40 - 5 + 1 - 72*q - 13. Is c(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 + d**2 - 5*d**3 - 13*d + 15*d in the form t*d**3 + y*d**2 + n + z*d and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/5 - 1518*u**3 - 75799*u**2\/5 + 1518*u + 15160 = 0. What is u?\nAnswer: -7580, -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.39848 millimeters to nanometers.\nAnswer: 70398480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 20 = -2*x, -4*g - 24 = 162*x - 159*x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8 - 20*p - 5 + 2*p**2 - 1. Let t be j(10). Solve 25 = t*b + 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 4*w**2 + 2*w. Let l be m(-3). Suppose 17 + l = 4*q. Suppose q*s - 808 = i, -i - 1 + 481 = 3*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 0*g + 4*g)*(-24 - 6*g - 3*g**2 + 24).\nAnswer: 6*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 66?\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 5*y + 1. Let i(j) = -2*j**2 - 9*j + 2. Let k = 74 + -68. What is k*i(p) - 11*w(p)?\nAnswer: -p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-8) - 75\/(-12). Suppose 3*t - u = t. Suppose t*p = 2 + 1. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19608559.\nAnswer: 43, 456013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*k - 63*k = 495. Solve 6 = 3*j + k*b, 4*b = -5*j - 2 + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2921 and -7.23951.\nAnswer: -2928.23951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 9*m**2 - 8*m + 3. Calculate f(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 5:03 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.98608 years in millennia?\nAnswer: 0.05298608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.281 and 0.3?\nAnswer: -0.0843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2467071*o**2. Let n(p) = -9*p**2. Give r(n(m)).\nAnswer: 199832751*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-27)*x**3 assuming x is positive.\nAnswer: x**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157\/111 + 40\/37. What is the closest to u in 5\/4, 2, -1\/17, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 172894984 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**2\/2 + 5*y - 213. Let v be n(-6). Let j(s) = -s**2 + s - 1. Let a(g) = 16*g**2 - 4*g + 4. Determine v*a(h) - 4*j(h).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -1, 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 0*w**2 + 5*w**2 - 2*w - 6 + 8. Let c(f) = -f**3 - f**2 + 2*f + 3. Let n be c(-2). List the prime factors of g(n).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**5\/3 - 16112*g**4\/3 - 7214592*g**3 - 9710797888*g**2\/3 - 19335149504*g\/3.\nAnswer: -4*g*(g + 2)*(g + 1342)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + (4*(sqrt(75) + 2)*6 - (5 + -1 + sqrt(75) + 1 + sqrt(75))))**2.\nAnswer: 8580*sqrt(3) + 37818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.33 + -5.3303. Let m = -577.000638 + 577. Let c = m + k. What is c rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1077284 - 97439.\nAnswer: -1174723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 220 + -204. Calculate the smallest common multiple of 40 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Suppose -n*t = -b - 4*t + 14, 23 = b - t. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -h - 4*h + 22, -14 = -4*h - l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 3, -3, 68, -1, 49 in ascending order.\nAnswer: -3, -1, 0, 3, 5, 49, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-1)\/1*89. List the prime factors of i\/(-9) + 12\/54.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 97 = 2*x, -157 = -1293*x + 1292*x - 5*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*g + q - 11 = -43*g, -3*g = 3*q - 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-56)\/21*-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/6 - (-65)\/(-70). Let f = -53\/6 - -8. Which is the second biggest value? (a) i (b) 5 (c) f (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.049 (b) -3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 - 6*o + 6. Let a(h) = -2*h**2 - 5*h + 5. Give -6*a(w) + 5*s(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5*o - 20, 4*o - 4 = -4*q + 5*o. What is the closest to 22 in 0.21, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 757 - 735.44. Let d = -21.6 + m. Let f = 0.13 - -0.17. Which is the nearest to 0? (a) f (b) 2\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37344347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p**2 + 30707*p + 32787 wrt p.\nAnswer: -2*p + 30707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/28*8948\/(-87243)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-12))\/((-1)\/(-4)). Let t = -6664 + 6664. Suppose t*r - 2\/3*r**2 + 0 + r**3 + d*r**4 = 0. Calculate r.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 22088708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjczcdjtztjj. What is prob of picking 3 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1693.07 + 1702. Let o = -9 + m. Let q = -0.0675 - o. Round q to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2688133 divided by -34027\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + sqrt(147) + -2*sqrt(147))**2 - -5*sqrt(243)*-2).\nAnswer: -104*sqrt(3) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**2 - 3*g. Let z(k) = 4*k**2 + 2*k - 1. Give -3*q(o) - 4*z(o).\nAnswer: 2*o**2 + o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 4*r + 142477*a - 142478*a + 4, -r = -2*a + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.617183 - 2.6038. Round y to four dps.\nAnswer: 0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44515 in 0.12, 2\/7, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 49791.\nAnswer: 49791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(14) - (sqrt(14) - (sqrt(14) + sqrt(1400)*1)))\/((sqrt(2) - -2*sqrt(2))*-2) + -1)*6*3)**2.\nAnswer: 7623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 16 = -4*j, 3*p + 20 = -5*j + p. Let l be ((-2)\/j)\/(2\/16). Solve l*w - 10 - 2 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c - 26*c - 15*c - 775 = 0 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 11*k = 23*k + 140 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**3\/3 - 74*d**2\/3 - 656*d\/3 - 1024\/3 = 0.\nAnswer: -64, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t*(t**(-1\/13)\/t*t*t)\/t)*t))**32\/(t**(-2\/15)\/t)**(3\/5) assuming t is positive.\nAnswer: t**(-10979\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 66*l**2 - 207*l - 98. Give m(69).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine halves of a meter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 less than or equal to 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - (0 - 0)) + 991. Suppose -i - 387 + o = 0. What is i rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -6*o**4 + o**3\/6 - 5*o**2 - 60*o. Let k(v) = 2*v. Let f(a) = i(a) - 3*k(a). Find the second derivative of f(u) wrt u.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27471\/176 - 1730\/11. Let f = 229\/124 + -127591\/68820. Let i = 9523\/12210 + f. What is the common denominator of i and z?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 + 6*d - d + 1 - 2 wrt d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3226215 divided by 111.\nAnswer: -29065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*k**3*l - 927*k**3 + k**2*l + 2*k**2 + 4*k*l - k + 57*l + 52 wrt k.\nAnswer: 42*k*l - 5562*k + 2*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21541 and -8.\nAnswer: 172328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*f**3 - 4096*f + 384*f**2 + 1\/4*f**4 + 16384.\nAnswer: (f - 16)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**4 - 5*o**2 + 2542*o - 209533 with respect to o.\nAnswer: 12*o**3 - 10*o + 2542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -11*l - 63. Let f(n) = -n - 4*n + 8 + 2*n. Let q be f(l). Calculate the greatest common divisor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 934*t**3 - 466*t**3 - 462*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 36 = -27. Suppose -101*w - 113*w - 32 = -230*w. Solve 4*z - w*u + 0 + 6 = 0, -k = 3*z + 4*u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -6.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-4\/5))\/l**7)\/((l\/(l\/l**(-9))*l)\/(l\/(l**3*l*l)*l*l*l)) assuming l is positive.\nAnswer: l**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*d + 211950 = 95*d + 282*d. Calculate the remainder when d is divided by 117.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*g = -5*g + 18, y + 1 = -3*g. Suppose y = t + 1. Solve 0 = -9*l + t*l + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 50. Let u be b(9). Suppose u = 8*t - 16. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -2 (c) -0.102 (d) 174.7 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4452*a**2 - 13314*a + 13. Determine d(-3).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2 + 16*j + 16. Let r be m(-4). Is 23 a factor of (r\/(-140))\/(4\/1610)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2217*j. Let c(k) = -3*k. What is c(t(w))?\nAnswer: 6651*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 9*w**2 + 14*w + 42. Let j be c(-10). Solve 0*r = -j*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 3*h. Let z(m) = 3*m**2 - 7*m. Let r be (-3)\/(-12) + (-39)\/(-4). Suppose -5*n - 25 = -r*n. Let t(a) = n*g(a) + 2*z(a). Solve t(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -17. Let q(f) be the second derivative of 0 - 1\/3*f**v + 0*f**2 + 2*f. Let i(k) = k**2. Calculate i(q(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2867, -5733, -8599?\n\"Answer: -2866*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55590 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -287788 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 68, 205, 432, 749, 1156, 1653?\n\"Answer: 45*k**2 + 2*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - 9*k**2 - 2*k + 17. Let n(x) = -2*x**2 - x - 1. Give -l(d) + 4*n(d).\nAnswer: -2*d**3 + d**2 - 2*d - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 + 0.27. Let g = -0.17 - -0.53. Let c = g - 0.4. Which is bigger: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1. Let r(g) = -g - 3. Let f be 2\/7 - (-128)\/(-56). Give f*r(a) + 4*v(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 - 91 = 3*w. Calculate the remainder when w is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2382216083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d + w = 3*d - 26*d - 2, 4*w - 68 = -4*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4268022794434 from 0.08.\nAnswer: -0.3468022794434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (11 + -6 - 11) + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9179115.\nAnswer: 3, 5, 11, 55631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 328967245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1730*t**3 - 1661*t**3 + 3338*t**3.\nAnswer: -53*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 4*m**2 + 217*m + 400. Determine x(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, l: 3, p: 13}. Give prob of sequence vl.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118.8 + 630.3. Let y = 512 - v. What is the closest to 0 in y, 0.3, -5, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -11*x - 57. What is b(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-4)\/(-9))\/((-1938)\/(-513)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.63 - 0.83. Let x = 63.8 - k. Let c = -51.9999572 + x. What is c rounded to 6 decimal places?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2588*o + 851*o + 864*o - 3*o**2 + 849*o.\nAnswer: -3*o**2 - 24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -9, 4*g - 11 = b + g. Let p(r) = -4*r**2 + r - 2. Let c be p(b). Let o = c + 12. Do o and -8 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(425) + -4)*-3 + 0.\nAnswer: -15*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -8\/3, 771?\nAnswer: 771","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + ((-2 - -3) + 0)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 9:28 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 92683700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 42*k**2 - 6357*k. Let n(q) = -5*q. What is v(n(p))?\nAnswer: 1050*p**2 + 31785*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 0 + 0 + 2*(0 + sqrt(300)))**2.\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*c - 3416 + 985 - 3539 = -1071 for c.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)*g**(1\/3))\/(g**4*g*g*g**4))\/(g**(4\/5)\/g**(-3))**(2\/67) assuming g is positive.\nAnswer: g**(-11839\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115\/3 + -39. What is the third biggest value in 1, 5\/4, k, -3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**5\/300 + 47*y**4\/3 + 88360*y**3\/3 - 2*y**2 - 486*y. Factor z(u).\nAnswer: (u + 940)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 826*d - 45441 - 52703 = -36194 for d.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m + 49*m = 2*b - 13, -17 = -3*m - 4*b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 8, -4*o = -4*s - o + 72. Suppose 17409 = -s*v + 22*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128.478 - 32.21. Let q = x + 1.832. Round q to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -195, 2, 1, 8, -12 in decreasing order.\nAnswer: 8, 2, 1, -12, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - -8) + -48 + (-4 - 9).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*n**2 + 977*n**3 - 43*n**2 + 85*n**2.\nAnswer: 977*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 1)*((j + 1 - 1)*(0 + 0 - 2) - j - 753972 + 370015 + 374050) as p + i*j and give p.\nAnswer: 19814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -10*v + 0*v**2 - 4\/3*v**3 + 124 + 2\/5*v**5 + 1\/4*v**4. What is the third derivative of j(x) wrt x?\nAnswer: 48*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.4 (c) -2.2 (d) -1\/3 (e) -0.5 (f) -80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 10 = -7*o. Suppose -y + 38 = -5*c, -3*y + o*c + 53 + 22 = 0. What is the remainder when y is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*d + 363*d + 10 - 10 + (4 + 10 - 21)*(-2*d + 5*d - 2*d) to the form z + o*d and give o.\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3*k + 4*k**2 - 8*k - k**3 + 5*k as y + u*k + w*k**2 + d*k**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -126.99 from -0.3373.\nAnswer: 126.6527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (51 - 53)\/(2\/(-3)) + 0. Solve -g = t + 5*s, 4*s = -7*t + 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cngngkcfnjfngg. What is prob of sequence cn?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 0. Sort v, 4, 4\/7 in ascending order.\nAnswer: v, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 - 2*n**4 - 46*n**2 + 2*n + 31*n**2 + 24*n**2 in the form w*n**4 + m*n**2 + q*n**3 + u + d*n and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 + 87*y**2 - 3312*y - 42320.\nAnswer: -(y - 92)**2*(y + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**3\/6 - 9*h**2\/4 + 28. Factor q(x).\nAnswer: -x*(x + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0.3 (b) 2\/17 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7)**4 assuming j is positive.\nAnswer: j**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33197 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935 is divided by 173.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 100 = -7*n. Calculate the greatest common factor of n and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - -0.27. Let h = -31021.4 + 31020.4. Which is the biggest value? (a) -5 (b) h (c) l (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f + 2. Let l be -2*(-2)\/8*2. Let u = -6343 - -6348. Solve u = -f*t + l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Let v be (5 + -5)\/(w + 1). Suppose -p = -v*p - 7. Solve -4*c + 6 = -p*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**5\/20 - m**4\/2 + 4*m**3\/3 - 13*m**2\/2 + m - 8. Suppose -42*v = -34*v - 40. Give p(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4, 5*k + 0*y - 5*y - 445 = 0. What is the common denominator of 94\/35 - 26\/k and 77\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -182.99786 - -183. What is r rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 607*g**2 + 53*g - 2 wrt g?\nAnswer: 1214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 16. Let q be p(15). What is the tens digit of 74 - q*(5 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20486 is divided by 976.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -786329, -786331, -786333?\n\"Answer: -2*v - 786327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-41))\/(2\/34). Let b = -8647271 + 2127223439\/246. Let r = b - f. Calculate the common denominator of -91\/22 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -349 - (7 + -1 + -4). Let h = 3532 + l. Suppose j - 5*q = -1065, 4*j - q + h = j. What is j rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -22?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 450343 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(121)*1 + sqrt(121) + -3*1*sqrt(121))\/(sqrt(22)\/((sqrt(50) - sqrt(2))*3 - sqrt(2))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*w + 7. Let m be (-8)\/2*69\/w. Let h = m - 19. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*w - 32, 0 = -4*w - 0*h + 4*h - 16. Is -3*(w\/21)\/((-1)\/(-701)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = -7*s + s. Let h be s\/18 + 18\/(-81). Let q(w) = 2 + 2*w + w**2 + w**h + 2*w**2 - 3*w**2. Give q(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 39*p**2 - 5*p + 196. Let z(q) = -20*q**2 + 2*q - 97. Let f(v) = -6*b(v) - 13*z(v). Find the first derivative of f(x) wrt x.\nAnswer: 52*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 2\/11 (c) -4\/7 (d) -110 (e) -1 (f) -0.04 (g) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -1.03\nAnswer: -0.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 5*c**2 + 6*c + 1. Suppose 0*n + 5*n = -30. Let g be r(n). Suppose g - 13 = -i. Solve 3*v + f - i = 0, 8 = 2*v - 0*f - 3*f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*f - 28 = 0, 2*f = -3*f + 10. Let t(r) = r**3 + 15*r**2 - 17*r + 11. What is the remainder when 104 is divided by t(k)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-1 + 5\/3). Suppose a*o = o + 3. Solve -2 - 10 = o*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*1*sqrt(171) + 3*-1*sqrt(171))*2)\/(sqrt(9) + sqrt(9) + (sqrt(9) - sqrt(108)\/(sqrt(432) + sqrt(12))) + -2*sqrt(81) + sqrt(9)))**2.\nAnswer: 3724\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 80, 119, 156?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2348.8 - 2348.5. Which is the closest to -0.1? (a) 8 (b) -13.5 (c) -3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13773682260 rounded to the nearest one million?\nAnswer: -13774000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -9261*m**5 - 5026077*m**4 + 1436526*m**3 - 136828*m**2 + 4344*m = 0. What is m?\nAnswer: -543, 0, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 16*f. Let z(v) be the first derivative of -v**3 - 47. Determine z(a(b)).\nAnswer: -768*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -1768686?\nAnswer: -7\/1768686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*w**4 - 267*w**3 - 999*w**2 - 432*w.\nAnswer: 3*w*(w - 48)*(w + 3)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 27 in ascending order.\nAnswer: -7, -3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 222*d - 112*d**2 - 96*d**2 + 212*d**2 as g*d**2 + m + f*d and give f.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k*k**(-9)*k*k))*k**(1\/5)\/k)\/(k**(-2\/7))**(2\/7) assuming k is positive.\nAnswer: k**(-1401\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -c + 17, -m = 323*c - 252*c - 922 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 14642 and 14625 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*q - 131000010 = 0, 5*w + 3*q - 131000008 = 7*q. Round w to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 6*c - 7. Let q be j(7). Suppose 15 = -q*b + b. Let s be 3\/2 + b\/(-14). Is -1 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 0.18333756560902.\nAnswer: 0.21666243439098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -72, -181, -382, -705, -1180?\nAnswer: -1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = c, -5*o + 3*c = -35 + 11. Suppose 4*b + 2 = -3*k, -6*b = 2*k - o*b. Which is bigger: k or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541203 is divided by 386?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-36) - (-25)\/(-9). Let y = 3 + i. Suppose -4*l - 5*g = -26, -l - l - 2*g + 12 = y. 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 seventh smallest value in -1, -2\/19, -16, 6, 8, 3, 3\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-192)\/56 + (-4)\/7. Let o be 2\/4 - 0 - 1. Sort j, o, -1\/4 in decreasing order.\nAnswer: -1\/4, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6577148379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (734 - 538 + a**2 - a**2 - a**2)*(0 - 3*a + 0) to the form q*a + j*a**2 + d + z*a**3 and give q.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 - 72. Let r be 0 + (-2)\/2 - -1. Suppose r*l = 3*l. Solve 0 = 2*s + w + b, 3*s + w + 4 + 1 = l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 54 - 6a?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - d**2 + d - 1. Let y be a(3). Suppose -z = -2*k + y, -5*k + 0*z + 3*z = -52. Suppose 3*q - k = -q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, -24, 1\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5576084 hours in seconds?\nAnswer: 2007.39024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + 5 - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1873, 3642, 5387, 7096, 8757, 10358, 11887?\n\"Answer: -2*t**3 + 1783*t + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2045?\nAnswer: 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 7:50 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -299912502 rounded to the nearest 1000000?\nAnswer: -300000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**5\/15 - 3*h**2. Let s(j) = 2*j + 6. Let f(x) = 1. Let t(g) = -6*f(g) + s(g). What is k(t(c))?\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from ttppeexppexpttes.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/1*((-735)\/14)\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 7020.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. What is the second derivative of 0*w**2 + 4*w - w**2 + 2*w**o wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 9:10 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 5*x**2 - 3. Let q be (-1)\/6 - (-14)\/12. Suppose 0 = 5*j - 14 - q. Suppose j*f - 10 = 5. Calculate n(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811552 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686808 is divided by 678?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 2*o + 3. Determine n(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1998925 is divided by 110.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**3\/6 - u**2\/2 - u. Let d(m) be the first derivative of -m**2\/2 - 2*m - 2. Let c be d(-5). Calculate p(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*a**5 + 40852*a**3 + 2997978*a**2.\nAnswer: 600*a**2 + 245112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6852.622ml?\nAnswer: 6.852622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 4. Let j be ((-44)\/33)\/(2\/(-6)). Suppose -20 = -j*x, -26 = -4*d + 3*d - 4*x. Suppose 0 = -d*f + 9 + 9. What is t(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/37*-11*(-16)\/880.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 195558945 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 6:31 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -203 - -10*(-6)\/15. What is the greatest common divisor of g and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 12*c + 35. Let m be g(11). Suppose 8*d - m = -0*d. Let a(u) = -8*u + 1. What is a(d)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**2 - 45405*f - 770440 = 0. Calculate f.\nAnswer: -9064, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -2*w**3\/3 - 14*w**2 + 12*w + 2. Is 2 a factor of h(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**3 + 31*x**2 - 12*x + 23. Let q be t(10). Sort 19, q, 8 in ascending order.\nAnswer: q, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 6*f + 2*f)*(-7 - 3 - 2).\nAnswer: -48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1163, 1159, 1155, 1151, 1147, 1143?\n\"Answer: -4*a + 1167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.9608 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 6*s**2 - 2*s - 1. Suppose 4*j - 320 = r, -5*r - 1907 = j - 223. Let x be (-4)\/10 - r\/(-60). What is o(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 150, 304, 458, 612, 766?\n\"Answer: 154*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9043 plus 1?\nAnswer: -9042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*h + 258*h - 13670 = 6142. What is the highest common factor of h and 1397?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61719829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 22\/25, 0.18, -0.2 in descending order.\nAnswer: 22\/25, 0.18, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 10. Let m = p + 1. Suppose 3*h + 13 - 61 = 0. Calculate the least common multiple of m and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8743*r**2 + 1004*r.\nAnswer: -17486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 923545 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4, -1783, -7 in decreasing order.\nAnswer: 3, 1, -4, -7, -1783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3)\/b)**(2\/23)\/(b*b*b**(-3))**(-2\/23) assuming b is positive.\nAnswer: b**(-14\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 4 (c) -52 (d) 22 (e) -2 (f) 1\/7 (g) 2\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.32. Let t = f + -0.38. What is the third biggest value in t, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 10*s**2 - 6*s + 1. Suppose 6*z + 3 = -o + 5*z, -z + 6 = 0. Calculate i(o).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 308.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -227*n**3 + 3*n**2 - 624*n - 3. Let b(s) = 226*s**3 - 2*s**2 + 625*s + 2. Let w(c) = 2*a(c) + 3*b(c). What is the second derivative of w(i) wrt i?\nAnswer: 1344*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106620773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 115.83, 2 in decreasing order.\nAnswer: 115.83, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x - 27. Let j be l(12). Let w be (j\/153)\/((-2)\/6). Let t = 29\/68 + w. Which is the closest to -0.1? (a) t (b) -0.4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*o + 5*t = 115, -10*o + 1284*t - 1287*t = -216 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234386?\nAnswer: 2, 117193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.136 + 67.136. Let p = -63 + i. Which is the second biggest value? (a) p (b) 8 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:11 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.02, -256\/9, -1\/4, 5\/4 in ascending order.\nAnswer: -256\/9, -1\/4, 0.02, 5\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0457303898 plus -6?\nAnswer: -6.0457303898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**5\/20 - v**4\/4 - v**3\/6 - v**2\/2 + v. Let a be y(3). Suppose 0 = -3*f - 1 - 8. Is f != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnng when four letters picked without replacement from {i: 2, y: 2, g: 2, n: 3}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 8. Let a be k(10). Suppose a*v + 1067 = 5*f, -343 = -2*f + 2*v + 85. Let p = -80 + f. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p + 1224 = 24*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2193\/(7\/((-56)\/30)). Is -585 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.868402, -1\/3, -1 in ascending order.\nAnswer: -1, -0.868402, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = -0*g. Suppose -g*k - k - 3*x = -48, 5*k = 4*x + 62. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*p = -0*w - 1326, 0 = 2*w + 4*p - 658. Is w\/(-4)*-2*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + 315\/84\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.029746\nAnswer: -0.089238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 467707913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 10:37 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 23 = 2*p. Sort p, 0, -5 in descending order.\nAnswer: p, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 3*a - 20, -3*r = -92*a + 89*a - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -2*l**4\/3 - 5*l**3\/6 + 4*l**2 + 7227*l. Let z(u) = 3*u**2 + 2*u - 3. Calculate 4*o(c) + 11*z(c).\nAnswer: c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1007 times -47876\nAnswer: -48211132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from nzzmmnnnzmnnn?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2548446 or -2548445?\nAnswer: -2548446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -5, -2\/7, 5\/4, 0, -1.02?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -a2b8a2 (base 13) to base 6\nAnswer: -213204411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 197.9 + 2.5. Let i = 197 - g. Put i, -0.1, -1\/5, -2 in increasing order.\nAnswer: i, -2, -1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/231 and -41\/29052849?\nAnswer: 319581339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**3 + 2*x**2 - 3*x - 6. Let o(z) = 8*z**3 + 3*z**2 - 4*z - 7. Let m(q) = 6*b(q) - 5*o(q). Suppose -3*j = -2 - 4. Is m(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a - 5. Let i(u) = 3*u + 3. Let j(l) = -8*i(l) - 5*r(l). What is j(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 14.693. Let i = z + -6.647. What is i rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.64 - 2. Let c = 0.01 - l. Let x = 0.37 - c. Which is smaller: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9418?\nAnswer: 2, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 68*n**2 + 364*n + 5466. Determine j(-72).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*y + 9 = 0, 2*m - 4*m - 5*y + 15 = 0. Let z(t) = t + 11. Let v be z(-11). Solve -15 = -v*f - m*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21012 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 4*n - 4. Give j(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (294 - -1)*(-4)\/(-10). Let d = v - 231\/2. Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 758690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/10912 and 151\/4092.\nAnswer: 32736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/135 and 23\/264.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, w: 2, u: 1, i: 1, l: 2}. What is prob of picking 2 l and 2 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (9\/6 - 5\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31509, 4, -8, -49 in descending order.\nAnswer: 4, -8, -49, -31509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -9 (c) -0.0605\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 70.6 times 7\nAnswer: 494.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 219348658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y + 1. Let h(w) = -10*w + 2. Give -3*h(o) + 5*t(o).\nAnswer: 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/337, 5, 0.13, -182 in descending order.\nAnswer: 5, 0.13, -6\/337, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/5, 3, 2, 143, -1\/2, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/945*486\/1566.\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253103 is divided by 415?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 7088*p**2 - 811604*p + 2362485080.\nAnswer: -4*(p - 470)*(p + 1121)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b + 2. Calculate the remainder when u(2) is divided by ((-18)\/(-15))\/((-4)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95 divided by -802\nAnswer: -95\/802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19711899.88500053 - -19711900. Let u = 0.115 - d. Round u to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/350 and 53\/30?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 186 = 3*g. Is -32 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-138))\/((28\/1176*28)\/(20\/(-7)))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 0.3. Let g = -0.26 - f. Let x = -0.16 - g. Which is the closest to x? (a) -4 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-6))\/(144\/(-2016)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210540 divided by 1914.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 9 + b + 7)*(-31 + 43 - 12 + 128*b).\nAnswer: 128*b**2 - 896*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = 4*f - 82. Let t be (-250)\/15*7*f. Round t to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3596, -3588, -3576, -3560, -3540?\n\"Answer: 2*l**2 + 2*l - 3600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2238035318?\nAnswer: 2, 59, 18966401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6\/11*c - 2\/11*c**3 + 8\/11*c**2 = 0. What is c?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 0*q + 1\/9*q**3 + 1\/2*q**2 - 2. Suppose w(s) = 0. What is s?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.26 and 8.\nAnswer: 9.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 217405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1083009758?\nAnswer: 2, 37, 223, 65629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3757 = -46*d + 33*d. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71675612 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230011233 (base 4) to base 6.\nAnswer: -3512023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*g - 2*m, 99*g - 101*g - m - 2 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*h = h, 3*k + 3*h - 24 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -806 (base 10) to base 4.\nAnswer: -30212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0. Let c = 52\/3 - 991\/57. Let r = -23\/76 - c. What is the smallest value in r, 2\/13, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2 = z, -z - 5*g - 3 = -0*z. Suppose 0 = a + z - 4. Solve -4*h = -a*p, -p + 6 = -4*p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d*d*d**5))*d**(-6\/11)\/d)**(-26)\/(((((d**0\/d*d)\/d)\/d)\/d)**(-5))**(2\/75) assuming d is positive.\nAnswer: d**(-6392\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -198, -294?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**2 - 4*j - 2. Let o(h) = -h - 1. Let s(z) = d(z) - 2*o(z). What is the second derivative of s(p) wrt p?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28 + -3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/7 + 46*r**3\/7 - 214*r**2\/7 + 66*r\/7 + 324\/7 = 0. What is r?\nAnswer: -27, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 434382 divided by -6?\nAnswer: -72397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2395 is divided by 399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**4 - 12972*f**3 - 64806*f**2 - 90708*f - 38871 = 0.\nAnswer: -4319, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/4 - (-12 - -21)\/18. Solve 0 = -s + n*s - 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 236, 5, -563?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 11*s + 6*s + 1129 = 0, -3*t + 2*s + 1760 = 0. Calculate the lowest common multiple of 1067 and t.\nAnswer: 6402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*n + 17*n + 12768. Is n a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.06918 rounded to three decimal places?\nAnswer: -29.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 406993825?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 640039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.47743 minus -0.08?\nAnswer: -40.39743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 13925051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - 2.3. Let z(w) = -2*w + 8 - 1 + 4*w - 2. Let o be z(-5). Which is the nearest to -1\/4? (a) v (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (210\/(-28))\/(-3)*12\/5. Let h(z) be the second derivative of -z**3\/3 + 3*z**2\/2 - 2*z. Let c = -4 - -6. Let k(w) = w - 1. What is b*k(n) + c*h(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 bigger than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 439*a**8\/56 - 101*a**4\/3 + a**2\/2 + 132*a - 2. Find the third derivative of m(f) wrt f.\nAnswer: 52680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2321957 and 2321957.\nAnswer: 2321957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 3327 = 3345 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 9, -4, -5 in increasing order.\nAnswer: -5, -4, -3, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -716*a + 1943*a**2 - 1303*a - 1658*a**2 wrt a?\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*l + 21 = 632*l - 3*m, -8*l - 3*m = 84 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, g: 1, j: 3}. Give prob of picking 2 p and 2 j.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k - 4. Suppose -k*q + i = -5, -q + 6*i + 25 = i. Determine u so that 0*u - 2\/9*u**3 - 2\/9*u**2 + q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003798 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - 3)*(3 - 4). Suppose u*o = 4*o + 182. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/50 and (266\/3045)\/(4\/6*-1).\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2368\/(-518))\/((-136)\/(-714)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/10406 and -59\/1210.\nAnswer: 52030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from dpzppkdllzlddzv?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 28. Let x be (-346)\/18 + (-2)\/d. Let v = -3 - x. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 140, 148, 156?\n\"Answer: 8*t + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -0.2, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*l**3\/9 - 232*l**2\/3 + 54*l + 196\/9.\nAnswer: 2*(l - 49)*(l - 1)*(7*l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 1 + (2 - -1). Is b smaller than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*g + 5341 - 17539 = -101*g + 443*g for g.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -170*m**3\/7 - 85296*m**2\/7 - 10688082*m\/7 + 2772044\/7.\nAnswer: -2*(m + 251)**2*(85*m - 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62.3 + 66. Let g = -0.3 - n. Suppose -11 = 3*o - 4*m - 5, 0 = -4*m. Which is the closest to -4? (a) -0.5 (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-65)\/(-35)*-1. Which is the smallest value? (a) 16 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 720*k - 2053 = -613 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40181.\nAnswer: 23, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56068448.\nAnswer: 2, 17, 103067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (6 + -4 - 7) + (-4 - -2 - -6)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 13 - 21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/24 and (236\/100)\/(180\/75).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/2 - 63*a**3\/2 - 85*a**2 + 1332*a - 2080 = 0. Calculate a.\nAnswer: -8, 2, 4, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9b + -4131?\nAnswer: -4052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -705*y**3 - 14952*y**2 - 27084*y = 0.\nAnswer: -4514\/235, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 289830 rounded to the nearest one thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**5\/2 - 3*p**4 + 21*p**3\/2 - 6*p**2 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 - 48. Suppose 5*c - 71 = 39. Calculate the remainder when c is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 13*j**2 + 13*j + 13. Let s(c) = c**3 + 6*c**2 - 6*c - 6. Suppose -2*p + 19 = 7. Let x be ((-90)\/(-40))\/(p\/16). Calculate x*m(f) + 13*s(f).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2201021 (base 3) to base 9\nAnswer: -2637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2647 is divided by 272?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*o + 114 = -156*o. Suppose 2*b = t + b - 1, -2*t - 4*b = -26. Solve 5*k + 9 = 5*c - 1, 0 = -t*c - 2*k + o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 47*q**2 + 76*q + 591. Let z(m) = 9*m**2 + 15*m + 118. Let c(l) = -2*j(l) + 11*z(l). Differentiate c(w) wrt w.\nAnswer: 10*w + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -2, 2, -31, -8, 0 in increasing order.\nAnswer: -44, -31, -8, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1922*z**3 + 376092*z**2 + 20134488*z + 165657680.\nAnswer: 2*(z + 10)*(31*z + 2878)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010577371 to seven decimal places.\nAnswer: 0.0001058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 84?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1377676611 to 5 decimal places.\nAnswer: -0.13777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2. Let x(z) = -3*z - 2. Let p(b) = -13*b - 9. Let d be 2 - 1 - 4 - -3. Let q = d + -9. Let i(l) = q*x(l) + 2*p(l). Calculate v(i(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 2*k + 4. Let p be q(5). Let s(a) = -1 - 4*a**2 - 2*a - 1 + a**2. Let u(x) = -17*x**2 - 11 + x**2 - x - 10*x. What is p*s(m) + 2*u(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -588*b**2*q + b**2 - b*q - 2857*b + 2*q wrt b.\nAnswer: -1176*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3725774 - 182621728\/49. Let g = q + 1200. Suppose 0 = 4*o - 0*o + o. Which is bigger: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1304120024 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**5\/48 + j**4\/16 + j**3\/24 - 27*j**2\/2 + 13*j. Let d(a) be the first derivative of r(a). Factor d(k).\nAnswer: (k + 1)*(5*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -47, -252301, 0.3?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3215?\nAnswer: 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92 + 83 - 58)*(-2*s - 3*s + 6*s).\nAnswer: -67*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - h - 3 = 0, 5*b + 5*h + 15 = -0*h. Let w(x) = x + 17. List the prime factors of w(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 - 118. Let g(c) = 7*c**2 - 8. Let k be g(d). Let i = 11 - -2. What is the greatest common factor of i and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975303997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-8)*1\/(-105)*-20?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*x + 7 = 0, -2*x = -2*a + 53290. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1214*k = -1235*k + 150087. List the prime factors of k.\nAnswer: 7, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4142, 4193, 4240, 4283, 4322, 4357?\n\"Answer: -2*b**2 + 57*b + 4087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 75\/24 - (6 + -3)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2732696?\nAnswer: 2, 341587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -45549 (base 10) in base 15?\nAnswer: -d769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 115*h**2 - 2210*h + 3906. Calculate r(-90).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 10. What is the nearest to u in 3\/2, 0.3, 0.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9130*v**3 + 9132*v**3 + 421*v**2 - 20*v**2)*((2 + 2 - 3)*(v - 2 + 2) - 2*v + 0*v - 2*v) as f*v**4 + l*v + m*v**3 + k*v**2 + j and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 14 = -15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - 3*n**3 + n**3)*(39*n + 43*n - 15 - 81*n).\nAnswer: -n**4 + 15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*l - 2, -1 + 4 = 3*i + 3*l. What is the derivative of -i*o - 6 + 1 + 3 + 0 wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + r**2 + 0*r**2 + 2*r**2. Let j(a) = 3*a**2. Give h(j(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. Let p = v + -0.7. Suppose -y + 1 = -3*x, 4*y - 3*x - 4 = -x. Which is the smallest value? (a) p (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 4*u = 3*j - 8, 6*u = 30 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/29))\/o**(-2\/23)*(o*o**14)\/o**15 assuming o is positive.\nAnswer: o**(679\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -261+999\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 4. Suppose x = -5*p - 9 + 64. What is the smallest common multiple of 2 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {j: 3, u: 3, g: 3, x: 6, e: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - 53.27. Round m to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39381, 34858, 30335?\n\"Answer: -4523*y + 43904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 575872 + 3?\nAnswer: 575875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 64, -7 in increasing order.\nAnswer: -7, 6, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/3 - 723*n**3 + 563760*n**2 - 189796608*n + 23460876288.\nAnswer: (n - 873)*(n - 432)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*x + 3*x - 3*x)*(3 + 1 - 3) + (x + 3*x + 3*x)*(-1 + 1 + 3) - x - 2*x + x)*(-1 + 5 - 3) to the form v*x + o and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.15, -4, -3\/5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(22)\/sqrt(2) + sqrt(11)))**2 + -1.\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -18*b**3 + 69*b**2 - b - 6. Let r(j) = 41*j**3 - 135*j**2 + 3*j + 12. What is 7*d(g) + 3*r(g)?\nAnswer: -3*g**3 + 78*g**2 + 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -903000 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/(-5))\/(1\/265). Suppose -2*w - 5*w + x = 0. Suppose 2*z = 4*h + 422, -z + 3*h = -0*z - w. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580 is divided by 104?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -5 - 31. Let m(g) = -24*g - 10. Calculate the smallest common multiple of 8 and m(b).\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, 2\/9, -1\/3, 36, 2\/3, 0.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -28*g + 26*g. Let s(y) = 5 + 7 - 7*y**2 - g. Let u(i) = 0 + 0 - i**2. Determine u(s(r)).\nAnswer: -49*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/392 and -23\/560.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -535.2041 times 115?\nAnswer: -61548.4715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -8 - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6664\/748 + 1*4\/44.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24562, -24591, -24620, -24649, -24678?\nAnswer: -24707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {u: 2, o: 6, v: 3, k: 3, z: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = 2*v - 258 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 109458*b - 3. Let n(t) = -2*t. Determine n(i(m)).\nAnswer: -218916*m + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 2. Let r be y(2). Let p = r + 5. Suppose 6 = 3*v + f, 5*v + f + f = p. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105 - -112. Solve 1 = 2*y + o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336512.\nAnswer: 2, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17976*g**5 - 68*g + 2*g**4 - 2*g**4 - 17988*g**5 + 3*g**2 + 17*g**3 wrt g.\nAnswer: -720*g**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 + -13?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5666*b*o - 2*b - 870 wrt o?\nAnswer: -5666*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-2 + -18)) + (-9 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/4*4\/(-9))\/(-2). Factor w*q**2 - 1\/3 + 0*q.\nAnswer: (q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8686 + 173809\/20. Find the common denominator of -47\/52 and a.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 2002.\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31741, 31726, 31705, 31678, 31645, 31606?\n\"Answer: -3*t**2 - 6*t + 31750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*k - 32 = 0. Solve 3\/2*w + 9\/2*w**2 + 3\/2*w**k + 0 + 9\/2*w**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3265693*z**2 - z + 3265693*z**2 + 442*z**3 + 2*z.\nAnswer: 442*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 880*o + 62 - 132 + 70 in the form q + x*o and give x.\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*q + 28. Suppose q*i - 3*i - 7 = -3*p, 3*i = -p + 9. Which is the third biggest value? (a) p (b) 0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10011000?\nAnswer: 10011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = 2*v - 239. Let m(s) = s**2 + 4. Calculate the least common multiple of v and m(0).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 0 + 16*r + 19\/6*r**4 + 0*r**3 + 0*r**5 + 0*r**2 + 1\/30*r**6. What is the third derivative of c(h) wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) + (-56)\/(-6). Let t = -4 - -7. Let p be (s\/6)\/t*6. Solve 2*j = p*l + 21, -3*j - 2*j + 10 = l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (44\/(-20) - -2)\/((-4)\/8). Find o such that 4\/5*o - 2\/5 - g*o**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2261243, 4522509, 6783775, 9045041, 11306307, 13567573?\n\"Answer: 2261266*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.38128mg to kilograms.\nAnswer: 0.00003538128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((57\/(-19))\/(-3))\/(2\/448*-8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = -2*n - 61. Let x = n + 60. Let k = x + 68. Solve 0 = -5*p - 3*g - k, 4*p - 5*p + 5*g = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 7*t**2 + 13*t - 16. Let f(x) = -x**2 - 817*x + 1643. Let u be f(2). What is o(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67325, 134652, 201979, 269306, 336633?\nAnswer: 403960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -t - 42, -2*d - 9*t = -5*t - 72. Differentiate -94 + 54*k - d*k + 24*k wrt k.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -9 + (81240\/6 - 19) is divided by 265.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 94414.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5985428 is divided by 423?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 155*r**8\/336 + r**4\/24 + 13*r**3\/2 - 62*r**2. What is the second derivative of i(n) wrt n?\nAnswer: 3100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4*j + 94 = 0. Let n(a) = a - 1. Let l be n(4). Suppose -l*k + 64 = -j. Calculate the remainder when k is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -49. Suppose 8*w - a = 12*w. Let u(p) = -5*p**2 - p - 2. Calculate u(w).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -896, 2138, 7194, 14272, 23372?\n\"Answer: 1011*u**2 + u - 1908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8177, 8174, 8171?\n\"Answer: -3*d + 8180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**5\/90 - 5*d**4\/9 + 25*d**3\/3 + 362*d. Suppose r(s) = 0. What is s?\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 95*y**4 + 46*y**4 + 47*y**4 + (2*y + 0*y - y)*(-y**2 + y**2 - 2*y**3) in the form x*y + c*y**3 + s*y**4 + z + r*y**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -949\/62 and -15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58*u**2 - 75*u - 196*u**2 - 4*u**3 + 0*u**3 + 3*u**3 + 11*u**2 wrt u?\nAnswer: -6*u - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-32370)*39 + (-5061)\/83?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11396*z + 79896. What is w(-7)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1111591*v**2 - 2*v + 370874 wrt v.\nAnswer: 2223182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + 1. Suppose 0 = -4*j + 20, 0 = -m - 0*m + 5*j - k. Suppose 2*a + 0*x + m*x - 30 = 0, 0 = -2*x + 8. What is the highest common divisor of 27 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 386 and 1988672?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -340 * -56.\nAnswer: 19040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -46*i - 123. Let m be k(-6). Let v be 3\/(33\/m - (-20)\/170). Solve -6*w + 9 = -v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 202526 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*t + 63, -5*t - 4*w + 55 = w. Suppose k - 2 = -5*n + t, -2*n - 5*k + 29 = 0. Solve -5*h - 35 = -5*a, -n*h - 2*a + 6*a - 24 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24003, 24027, 24051, 24075, 24099?\n\"Answer: 24*m + 23979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-3)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -21*p - 26. Calculate the remainder when s(-8) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 4*b + 3*b)*(1 + 0 + 1) + (16 + 0 - 4)*(-3*b - b + 6*b) in the form i + v*b and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(2\/3))**(-1\/20)*((n*n*n\/(n*n\/(n*n**(7\/2)*n*n)))\/n)\/((n*n\/(n\/((n**(-2\/17)*n)\/n)))\/n*n) assuming n is positive.\nAnswer: n**(2831\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -359 - -365. Solve 0 = -i*z - 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8356 - -12819. Is 81 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -248 - -163. Let b = o - -87. Differentiate 82 - 2*g**2 + b*g**2 - 39*g**4 - 81 wrt g.\nAnswer: -156*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**0)**19*(c\/(c*c\/(c**(-5)*c)))\/(c\/c**(-2\/9))*(c*c\/(c\/c**(2\/5)))**44\/(c*c\/c**(-1\/2)*c*c**(1\/3)) assuming c is positive.\nAnswer: c**(6349\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/((-672)\/(-18))*-2)\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.1. Let r = -2.34 + 0.74. Is z greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 3*b - 6*b)*(4*b**2 - 2*b**2 - 7*b**2).\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 573351947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 12. Let v be ((-352)\/x)\/(13\/(-39)). Is v greater than -176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 162 = -2*x + 642. List the prime factors of x.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 14. Let x = m - 6. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 21*b + 2. Let n be r(2). Let s = -33 - -17. Let l = s + n. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/40948704 and -41\/54.\nAnswer: 122846112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 38 = -2*h, 0 = 4*y - 0*h - h - 28 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 4*l - 10, -5*j - 3 = -l - 6*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 10*m**2 + 8*m + 6. Let g be x(-9). Suppose 5*r = r - 5*c + 20, g = 3*r - c. Solve 2 = -z + r*q, -2*z + 7 = -q + 2*q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40856 divided by -40856.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = 10. Let k be (-3)\/12*j*10. Suppose -101*b - 2*c + 8 = -105*b, 5*b = 2*c - 8. Solve -k = 5*s - b, 5*s - 10 = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3\/5 + 72*z**2\/5 - 429*z\/5 = 0. What is z?\nAnswer: 0, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 405*d - 272*d - 11 - 215*d + 14 as k + q*d and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 40*y + 150. Let p be f(-15). Let q = -0.385 - -0.685. What is the third smallest value in q, -378, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 205\/2023 - -12\/289. Which is the second smallest value? (a) -4 (b) f (c) 3\/5 (d) -0.043\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 37*l**2 + 1504*l + 2852.\nAnswer: -(l - 62)*(l + 2)*(l + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmttttmettttatm. What is prob of sequence tte?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 - 26. Let z(w) = -20*w. Determine b(z(j)).\nAnswer: -1600*j**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*l - 426, -x - 85 = 4*l + 14. List the prime factors of x\/(2 - (-39)\/(-15)).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3427799 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddmddzmdiizvm. What is prob of picking 3 m and 1 v?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36029282?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 101601256 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*v - 1053, -29*v = -31*v - o + 424. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9550948?\nAnswer: 2, 11, 131, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (4 + -3 + -23)) + 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61521*m = -61543*m + 262 + 90 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - h)*(-4*h + 10 + 13 - 18).\nAnswer: 4*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/121 and -95\/66.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1345 + -1348 - (12 - -1 - (3 - 2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3753 - -3880. Calculate the remainder when 265 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -146*h**2 - 41214*h\/5 + 22572\/5.\nAnswer: -2*(h + 57)*(365*h - 198)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z. Let p(k) be the second derivative of -2*k**3\/3 - k. Let x = -264 + 178. Let v = x + 82. Give v*p(m) - 5*d(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8017 to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -19980\/154933 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 45 - 35. Suppose g*b + 2*o = -152 + 514, -5*b + o + 899 = 0. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*p**3 + 4 + 8*p**3 + 12*p**2 - 5*p**2 + 0 in the form s*p + i*p**2 + l*p**3 + k and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/(-10))\/((-3)\/10). Let v = 4 + d. Solve 4*y - v + 0 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88367106.55 + 437\nAnswer: 88367543.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*s + 103*s = 2511 + 723 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-68)\/6*(-858)\/52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 130*k + 1064 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*b + 508*b = -484*b + 1326*b + 2484 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**2 - 108958 - 108560 + 217518.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -27808 divided by 8?\nAnswer: -3476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxx when three letters picked without replacement from ffffxffffxfxxxff.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -183, -943, -2453, -4911, -8515, -13463, -19953, -28183?\n\"Answer: -33*f**3 - 177*f**2 + 2*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*80\/(-24). Sort 2, o, -19 in descending order.\nAnswer: o, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16448.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 y when three letters picked without replacement from zyybzhrrzzzyyzzhb?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-45)\/27 + (-28)\/(-6). Solve -2*y - 4 = 2*k, 0 = -3*k - 4*y - b - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + n + 3567 - 47*n**2 - 3569 to the form s + b*n**2 + o*n and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1418246.\nAnswer: 2, 709123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31227474 or -218592309\/7?\nAnswer: -31227474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)*o*o**(-31) assuming o is positive.\nAnswer: o**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -24. Suppose -5*w + 260 = -4*v - w, 5*v - w = -337. Does 4 divide v\/(t + -1) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -95*m**2 + 2. Let k(d) = -8*d. Calculate r(k(c)).\nAnswer: -6080*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341547397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2. Let d(m) = 5*m**2 - 63*m. Determine d(k(n)).\nAnswer: 5*n**4 + 63*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*i + 1138 - 1138.\nAnswer: -78*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 33, 64, 85, 96?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - 983*w**3 - 565*w**3 - w**2.\nAnswer: -1548*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/899590 and 73\/181087467?\nAnswer: 1810874670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1734 - -1730. Which is the smallest value? (a) y (b) 46\/3 (c) 0.4 (d) 2\/7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**4\/12 + 3*r. Let m(x) = 7*x**2. Calculate t(m(g)).\nAnswer: -49*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 - -3.95. Let t = -3 + l. Let n = 0.206 - 2.206. Which is the smallest value? (a) n (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24.53631 + 24.885. Let o = t + -0.339. What is o rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1 = -h - 7, -10 = -5*h. Let b be o + -6 - -2 - 0. Let z = -0.8 - -4.8. What is the second biggest value in 3\/8, b, z?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 5*v**2 + 4. Let j be t(-5). Let w = j + 2. Let l(a) = -a**3 + 9*a**2 - 6*a - 9. Let m be l(8). Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 85 = -3*h. Let r = h - 11. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -161*a**6\/30 + 64*a**3\/3 - a**2 + a - 1. Find the second derivative of f(i) wrt i.\nAnswer: -1932*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 1. Let i be d(1). Let g(v) be the third derivative of v**6\/60 - v**4\/8 + v**3\/3 - v**2. Is g(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 282 = 20*g. Let a = g + 132. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -1285?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-7)*(-819)\/(-3042)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 9 = -z - 0, j + 15 = 4*z. Factor 25*b**z + 36*b + 2*b**2 + 31*b**3 + 30*b**2 - 60*b**3.\nAnswer: -4*b*(b - 9)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 131\/(-1834) + (-1)\/(-14). Solve 5*k - 31 = -51, l = 4*v - 5*k - 28 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1349? (a) -0.4 (b) 2\/11 (c) 10\/83 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -27.4. Suppose -4*z = -z + 297. Let d = z - -697\/7. Which is the nearest to -1? (a) t (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 401*y**3 + 284 wrt y.\nAnswer: 1203*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2\/5, -21\/88, 475?\nAnswer: -21\/88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9613.3336510813 + -9686007.8336464813. Let c = q - -9676392. Let i = -2.5 - c. What is i rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3\/2, 1, -665, 2, -0.4 in increasing order.\nAnswer: -665, -0.4, 0.3, 1, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 6, e: 2, f: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**2 - 3*r - 1\/3*r**3 + 1. Calculate the common denominator of 43\/2 and o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 6 = 3*c, -4*c = -23*g + 26*g + 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w - 3*w - 3*w - 176*w**2 + 175*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -t + 695 - 694, 0 = 2*t + 5*d + 26 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 19*w + 37. Let c be m(-11). Suppose 4*p - c*r - 1352 = 0, -2*p + 1346 = 2*p - r. Does 24 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -13*f**7\/5040 + f**6\/720 - f**5\/30 + 2*f**2. Let g(i) be the third derivative of n(i). Suppose 14*u + 6 + 8 = 0. Give g(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from wdwdwmowdomwdoudkwm.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 3\/2*z**3 + 0 + 12*z.\nAnswer: -3*z*(z - 4)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-4 - -16*4\/(-40))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**3\/12 - g**2\/4 - g\/4 + 6. Suppose v(y) = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9157 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + 727ddb?\nAnswer: 727dd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - 2*d - 38. Let j be v(0). Let y = 141 - j. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21526*d + 928369 = -5776*d - 205631 for d.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (-2 + 2*sqrt(17) + sqrt(17))) + sqrt(170)\/sqrt(160))**2 - sqrt(153)\/(sqrt(45)\/(sqrt(20)\/sqrt(4))).\nAnswer: -8*sqrt(17) + 897\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*m - 202, 0 = i + 2*i - m - 119. Suppose 4*f - 120 = 2*f. Calculate the highest common factor of i and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 6*l**2 + 5*l + 6. What are the prime factors of k(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6845641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3078820.\nAnswer: 2, 5, 153941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - k**2 - 2*k + 1. Let c(b) = 3*b**3 + b**2 - b - 2. What is -c(x) - 2*r(x)?\nAnswer: -x**3 + x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 + 4*z**2 + 9*z**2.\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3338.9 + -3339. Put c, -1, 0.2, 3\/16 in decreasing order.\nAnswer: 0.2, 3\/16, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10620.3 and -13.\nAnswer: -10633.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 12:17 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -37149.75457122 + -3\nAnswer: -37152.75457122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.7 - 39.712. Let z = n - 0.198. Let i = -11.89 + z. Round i to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 7*o**6\/2 - 48*o**5\/5 + 33*o**4\/4 - 2*o**3 - 244. Determine p, given that l(p) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*o**5 + 6*o**4 - 224*o.\nAnswer: -200*o**3 + 72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 4*a - 92, -146*m = -149*m + 8*a + 220 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 87?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7481\/165 + -227\/5. Let k = n - 118\/231. Sort -3, k, 0.1, -9.\nAnswer: -9, -3, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5328229, 5328236, 5328249, 5328268, 5328293, 5328324, 5328361?\nAnswer: 5328404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 9*b + 3. Let r = 14 - 7. Let m be (-4)\/14 - 68\/r. Let p be d(m). Solve 7*x - h + p = 4*x, -2*h = -2*x - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = s + 3*s, 0 = -2*d + 5*s - 6. Let m(h) be the first derivative of h**2\/2 + 28*h + 1. List the prime factors of m(d).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3632 - -0.6632. What is the closest to -4 in -0.2, 4, p, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -10. Suppose -260 = z*l - 7*l. Calculate the greatest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49418.11 and 4?\nAnswer: 197672.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 13) in base 4?\nAnswer: 3233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60275 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -723645 <= -723645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 67\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 241445 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2824*j + 2820*j + 28. Solve j*p = -3*p + 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00040277 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11020)\/57)\/((-76)\/285). Calculate the greatest common divisor of 575 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103380164.\nAnswer: 2, 31, 833711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/180 and 87\/200?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*c - 180, -773*s = -778*s + 3*c + 255. Suppose 5 - 15 = -5*l. Let u be 219\/9 - l\/6. What is the greatest common factor of s and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168\/2 - 1\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 7)*(-3*a - a + 2*a) + 2 - 2 - 2*a + 5*a + a + 13*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 6. Suppose -12 = -0*f - 2*f. Let j be g(f). Suppose -2*s + 5*c + 9 = 0, -3*s + 5 = -4*c + 2. Sort -2, s, j in increasing order.\nAnswer: s, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229260?\nAnswer: 2, 3, 5, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 19*c + 3. Suppose 0 = 6*g - 95 - 19. Let o be w(g). Factor -15\/4*v - 3\/4*v**3 + o*v**2 + 3\/2.\nAnswer: -3*(v - 2)*(v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 68*t + 11 = 72*t, 0 = 2*b + 4*t - 26 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 8 - 22 = 11*q, 131*u + 29 = 4*q + 126*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, u: 3, v: 2, z: 3, q: 2, f: 1}. What is prob of picking 2 z and 2 v?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c = -4797846 + 697203 - 6873784. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119825 is divided by 59901?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5 - 60*x**4 + 1095*x**3 + 16390*x**2 - 17424*x = 0.\nAnswer: -72, -11, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -0.4, -17\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8489063kg?\nAnswer: 848906300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 + 36*s + 49. Let u(g) = -g**2 - 18*g - 25. Let d(o) = -3*q(o) - 5*u(o). Let w be d(-7). What is w rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 39 - 54 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -4 (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 0*b**4 + 72*b**3 + b**4 + 12271*b - 12267*b wrt b.\nAnswer: 12*b**2 + 432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-199)\/36 + -1 - -2. Let w = r + 19\/4. Let i = 2737\/5450 - 6\/2725. What is the closest to w in 2, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - 4*g**3)*((0*g - 4*g + 5*g)*(1 + 1 - 4) + 0 - 2*g + 0 + (5 - 1 - 2)*(-2*g + g + 0*g)).\nAnswer: 24*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 >= -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102212100 + -21012?\nAnswer: 102121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.02 and 14440177016.\nAnswer: 14440177015.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 7*a**2 - 4*a + 2. Let l be x(3). Suppose b - 2 + l = 0. What is the units digit of (b\/15)\/(3\/(-15))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 10582 = 10*p. Let u = -407 - p. Solve -4*h + 8*h + 20 = u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 2. Let z be r(2). Solve -5*g + 0*g = z, -2 = n + 3*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1399 = 245*c + 113*c + 10707 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.35145 - -7.\nAnswer: 7.35145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 476*g**2 - 280. Let i(n) = 25*n**2 - 15. Let k(y) = -56*i(y) + 3*o(y). Let m(j) = j**2. What is m(k(a))?\nAnswer: 784*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 1:05 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/17, -0.4, 274?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1936471083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/8708 and 109\/308?\nAnswer: 95788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/18*4\/3*54\/36?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1610632380 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 227\/7. What is the third biggest value in -1\/5, -2\/9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/5 - 2656680*l**2 + 22056076161594*l\/5 + 44112205456804\/5.\nAnswer: 2*(l - 3320851)**2*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 252680171 to the power of 1\/2, to the nearest integer?\nAnswer: 15896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5 = -0. Let w(z) = z - z - 4*z + k + 2*z. Let f(b) = 1. Suppose -s + c + 0 - 1 = 0, -4*c = -12. What is s*f(x) - w(x)?\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 19, -0.09043, 0.4?\nAnswer: -0.09043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19594400 is divided by 851930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1694) - (sqrt(1694) + sqrt(1694)*-1))\/(sqrt(18) - sqrt(18)*-3).\nAnswer: 11*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(152) - -2*sqrt(152)) + sqrt(152))\/(6*(sqrt(8) - 2*sqrt(8))) - (-1 + 2*sqrt(475) + sqrt(475) + sqrt(475) + 3)**2.\nAnswer: -7604 - 233*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + ((-22)\/(-8))\/1. Suppose 10*h - 6*h = -16. Let w be (-2)\/h - 18\/(-12). Which is the fourth biggest value? (a) 4 (b) -4 (c) w (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3*o - 129, 3*p + 14 = 5*o + 147. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4397*l**3 - 22246*l**3 + 4400*l**3 + 4637*l**3 + 4393*l**3 + 4392*l**3.\nAnswer: -27*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 > 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - 7*p**2 + 37*p - 81*p + 0*p + 49*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -11063844.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*z + 136, -3*z - 166 = -3*a - 5*z. Suppose 2*h - 20 = 2*o, -4*h = 4*o - 68 - 20. What is the remainder when a is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/38 + 177760\/1019920.\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5 - 8682*h**4 + 6043359*h**3 + 343421004*h**2 + 6264886188*h + 37648129728 = 0. Calculate h.\nAnswer: -19, -16, 1474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784442 is divided by 517.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 209 (b) -2\/13 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13343\/5864 + 3\/7330. What is the common denominator of x and -46\/3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -432 + 1056. Round d to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 3*z. What is the remainder when 10 is divided by d(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204010 (base 5) to base 8.\nAnswer: 15143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1450 divided by 1450?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 3)*(i - i + 2*i) + i + i + i + (-59 - 12*i + 59)*(-397 + 460 - 265) to the form r + o*i and give o.\nAnswer: 2423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 27. Suppose -5*w = -5*m + 5, 0*m + m + 4*w = -4. Let l = 1 + -5. Which is the nearest to 0.1? (a) t (b) l (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4)*-1*1 - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/2938?\nAnswer: -1\/2938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -13*g + 215. Calculate the least common multiple of g and 26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c714265 + -5?\nAnswer: c714260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/5, 1\/5, 593, 7, -6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u - 262 + 148 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7138.3 - 7140.29995. Let u = 2 + m. Round u to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -299615, -299620, -299619, -299606, -299575, -299520, -299435?\n\"Answer: f**3 - 3*f**2 - 3*f - 299610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126008 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: What is the remainder when 7621 is divided by 1508?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83\/22 + -36\/11. Let q = 41 + -17. Let y = q + -24.04. Which is smaller: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 11 = 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 141131198?\nAnswer: 423393594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10 = -15. Find the second derivative of -101*c**5 + 85*c**5 + 42*c**d + 42*c wrt c.\nAnswer: 520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11652*a + 5489*a = -5566*a - 31044 for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lldddlz. Give prob of picking 2 d and 2 l.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 9 = 4*c - 3*d, c + 5*d = -15. Let b(u) = -u**2 - 2. What is b(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 729.3816mg?\nAnswer: 0.0000007293816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 24380766 and 24380781 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -512*n**6\/15 - n**5\/20 + 1099*n**4\/6 - 4*n - 64. Find the third derivative of b(p) wrt p.\nAnswer: -24576*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11094, 11079, 11074, 11085, 11118, 11179?\n\"Answer: b**3 - b**2 - 19*b + 11113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 234 - 234. Let x = 2.8 + -3. Let q = -0.3 - x. Which is the closest to q? (a) 0.2 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86617 - 86617.3. Let k = 1.5 + 27.5. Let o = 43 - k. Which is the third smallest value? (a) o (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 62 = -4*m. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-418)*11*2*2\/(-54)*-2?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -260? (a) -1\/2 (b) -11217 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**3 - 2*w**2 + 3. What is o(2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 14 - 6 + 2 - 1031*t + 4. Let s be j(-6). Round s to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97 + 195. Let k(d) = d**2 + 3*d - 3. Let y be k(-5). Suppose 25 = -6*f + y*f. What is the remainder when z is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*g - 22 - 51*g - 41 + 63.\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1785006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*h, 6*z - 3*h + 6 = 7*z. Let f(c) = -c**2 - 10*c - 11. Let j be 46\/(-6) + (-2)\/6. Let s be f(j). Solve s*a = -20, d - 2*a = z*d + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*v + 7331 - 199976 = 0, 0 = 3*k - v - 115598. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6085 divide 434720919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44933 = 2348*v + 102991 for v.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -15. Let a = k - 530. What is the units digit of a\/(-3) - (-8)\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040.627 meters in kilometers?\nAnswer: 2.040627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2252 = 1049*z - 1330*z, -3*z - 18 = -3*i for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20581654871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 5*s - 8. Let l be h(7). Let d(c) = -l*c + 2 + 2*c + c + 4*c. Suppose p + 3 = -0*p - 5*r, -4*r = -3*p - 9. What is d(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*s - 58*s + 56*s - 3*s**3 - s**2 to the form m*s**2 + n*s**3 + d + j*s and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -34. Which is the fourth smallest value? (a) -5\/2 (b) z (c) 4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34658 is divided by 73.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*1\/2*3. Let b be (h*-1)\/((-12)\/8). Let k = 13 - b. Solve 2*f + 2*s - 19 = -f, 3*s - k = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3144 and 2882.\nAnswer: 34584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101.5 + 123. Let o = p + -21. Let t = -1.06 - -1. What is the closest to -0.1 in t, 2, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27163?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 179 = -22. Let k = -541\/8 + l. Calculate the common denominator of -87\/2 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-5) + (-1242)\/2760. Which is the nearest to -0.1? (a) s (b) 19 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22488876 to the power of 1\/2, to the nearest integer?\nAnswer: 4742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -q, 0 = n - q + 2*q - 9. Which is the fourth smallest value? (a) 3 (b) n (c) -3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, m: 1, l: 2, k: 4}. Give prob of sequence mk.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 + 9 + x + 10*x - x - 3*x**2. Calculate w(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27\/(-168))\/(-3))\/((-127)\/((-64897)\/146)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -5*c - 25, -2*i + 5 = 2*c - 3*c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 6*(-16)\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-17)*n*n**(-5\/2)*((n**(-37)\/n)\/n)\/(n*n**(-26\/9)) assuming n is positive.\nAnswer: n**(-1001\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(325) + 0 - sqrt(325) - sqrt(325))**2 + 3 + sqrt(208)*2*-5*-1.\nAnswer: 40*sqrt(13) + 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((-21)\/(-4)) + 4142\/(-1596).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -87 in 1, 7, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4702\/25 + -188. Let k = 67 - 32. Let w = 34 - k. What is the closest to w in -0.1, 0.2, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 10:20 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(2\/3)))\/c)**(-16)*(((c\/(c\/(c**8*c)))\/c*c)\/c)\/c**(1\/13) assuming c is positive.\nAnswer: c**(1349\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 831 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -304901.9013 rounded to the nearest 100?\nAnswer: -304900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**4\/24 + 2*n**2. Let c be g(5). Suppose 6*p - p - c*t - 65 = 0, 0 = -t + 3. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406877177 to the nearest integer?\nAnswer: 20171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79.2 - 85.2. What is the closest to n in 2\/5, 4, 7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145633 + -145632.7. Let a = 395\/9 - 44. Let i(p) = -2*p**3 - 1. Let d be i(-1). What is the closest to d in a, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 5*h**2 - 12*h - 4. What is a(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 6*d - 3. Let i be a(4). Suppose -35 = i*f + x, -19 + 5 = 2*f - 4*x. Let y = f + 15. Solve 3*j - 1 = y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 965.118 millennia to centuries.\nAnswer: 9651.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-one sixths of a day?\nAnswer: 164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = 123. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from ggvgvgvgvgggggggvggg?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.418 - -17.418017099. Round b to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(6)\/sqrt(2)*5.\nAnswer: 4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 506 and 7337.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-8))\/((-4)\/12752) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(sqrt(5)*2*-3)**2 + -3.\nAnswer: -2163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 2037 = 8*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 7:22 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236492.141 rounded to the nearest one hundred?\nAnswer: 1236500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 5 + 1)*(-4 + 1 + 1) + (1 + 0 - 3)*(4 - 2 + 0))*(-8*t**3 + 3*t**3 + 7*t**3) to m + b*t + g*t**2 + r*t**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 0*s**3 + 1\/3*s**6 + 261 + 0*s - 27\/5*s**5 + 0*s**4 + 121\/2*s**2. What is the second derivative of r(b) wrt b?\nAnswer: 40*b**3 - 324*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56771\/21420 - 106\/595. Calculate the common denominator of s and -127\/42.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2707*w**2 - 17*w + 17. Let l(c) = 902*c**2 + 6*c - 6. What is 17*l(v) + 6*t(v)?\nAnswer: -908*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*j - 55*j - 30732 = -129*j. List the prime factors of j.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 29, 47, 65, 83?\n\"Answer: 18*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*67\/(-402)*-3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.60875 millilitres to litres.\nAnswer: 0.02960875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -222.567 + -0.433. Let n = l + 223.0000121. Round n to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12786 divided by 2131\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 5:05 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x + 8. Let h = -161 + 176. Is 14 a factor of b(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((75\/12)\/25)\/(2\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 3 - 2\/5*u**3 + 1\/10*u**4 + 3\/5*u**2 - 2\/5*u. Factor z(b).\nAnswer: 2*(b - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - p**2 - p. Let t(u) = -u**3 - 5*u**2 - 6*u - 1. What is 5*q(d) - t(d)?\nAnswer: -4*d**3 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*x - 58*x - 144. Is x\/120 + (-8694)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 266 and 38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4278738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3\/4*(7\/4 - 5200\/192)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06692 - -920.\nAnswer: 919.93308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*i + 10, 5*u + 19 = -3*i + 2*i. Let x be (3\/i)\/(2\/20). Suppose 7 = l - 2*z, x*l = -0*z + 5*z + 40. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -8. What is the least common multiple of 22 and (2\/4)\/(k\/240)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*z**3 - 2*z**2 - 24*z + 22*z + 45*z**3 + (3 - 2 + 0)*(-z**2 + 3*z**3 + z**2).\nAnswer: 90*z**3 - 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000049570145 rounded to six decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-8))\/(q*q**2))**43*(q\/(q*q**5\/q*q)*q\/(q*q*q**(-2\/3)*q))**(-3\/10) assuming q is positive.\nAnswer: q**(-3851\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725700 = -3190*b - 3172*b - 2488*b for b.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 383 = 9*f. Let j be (217\/f + 5)\/(52\/14). Let n = -0.9 - 0.1. What is the third biggest value in j, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -133904 and -0.5.\nAnswer: 66952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*z + 438 = -z, -r - z = -108. Let u be (-6)\/(-20)*r\/(-44). Let d = -4.7 + 5. Put u, d, 4 in ascending order.\nAnswer: u, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdo when three letters picked without replacement from dddooooootooofodwo?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 22 = 78. Let g(n) = -l + 3*n + 73 - 38. What is g(-9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 3*w**2 - 22*w + 69. What is x(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*i - w + 10, 18 = 3*i + 4*w. Factor -2 + i + 0 - o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2. Let r(m) = -24*m**2 - 1 + 1 + 22*m**2 - 4*m. What is r(v(p))?\nAnswer: -2*p**4 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 272*x**3 + 268*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (72\/8)\/126*-2*2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(24)\/(-5*sqrt(24)\/sqrt(3)).\nAnswer: -1 - sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 35. Suppose 0*s - 5*l - 20 = -s, s = -3*l - n. What is the third biggest value in -3\/4, s, 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z**2 + 3*z - 3. Suppose 0 = 3*f - 2*f + 3. Let y be b(f). Calculate the remainder when 49 is divided by (y\/(-6))\/((-3)\/6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58, -398, -968, -1768, -2798, -4058?\n\"Answer: -115*q**2 + 5*q + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*j - 176 = 0, -6*g = -5*g + 2*j - 30. What is the remainder when 151 is divided by g - (12 - (7 - 3))\/(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -4*b - 36 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119) - -2*sqrt(119)))*4 - (sqrt(119) + sqrt(119) + 3*1*sqrt(119)))\/(sqrt(42)\/((sqrt(66)*-3)\/sqrt(11))).\nAnswer: 39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from {i: 3, b: 3, m: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*m - 23. Let s be 20\/21 - (-6)\/m. Suppose 0*q - 2*q = -2. Which is the third biggest value? (a) q (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c = -3*f - 308, -c - 196 = 2*f. Let a = -6 - -11. What are the prime factors of (f\/(-30))\/(1\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1457? (a) -0.3 (b) -15618 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13602651?\nAnswer: 3, 19, 167, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62\/185 + -5\/37. Sort a, -4, 4, -3 in ascending order.\nAnswer: -4, -3, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 0 - 8 + 20*i - 8.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by -5602160.\nAnswer: -41\/2801080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 17*s = 5305. Let i = s + 4209\/4. Calculate the common denominator of (-3 + 436\/140)*777\/(-84) and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7952*q - 11452. Let t(f) = 23858*f + 34384. Let a(z) = 8*b(z) + 3*t(z). Differentiate a(o) wrt o.\nAnswer: 7958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k = 6*k - 272 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (5 - 10) + (-1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - 4*h**4 + 3*h**4 - h + (-h**4 - 3*h**4 + 6*h**4)*(0 + 3 - 4))*(-6 + 3 + 0) to l*h**4 + w*h**2 + m + k*h**3 + t*h and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 6*d + 9. Let p be (12\/(-10)*(-20)\/(-8))\/(-1). Give y(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18439015 and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.033 + -0.033. Let r be -3 + 2 + (1 - 7). Put -9, 0.5, g, r in descending order.\nAnswer: 0.5, g, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-3445119\nAnswer: 13780476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-9) + (-492)\/(-18). Let g be (-15 + z)*3\/12. Solve -3*s - 2*h = -s + 12, 0 = g*s + 2*h + 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.327 to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-402 - 81*w + 402 + (-3 + 3 - 2)*(-6*w + 4*w + 4*w))*(2*w**2 + 2*w**2 - 3*w**2) - 3*w**3 - 2*w**3 + 7*w**3 to o*w**2 + s + p*w**3 + b*w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 32 = 2. Let r = -952 - -956. Suppose -r*f + 152 = 5*s, -5*s + 5*f + 110 = -y. Solve g = -5*j + s, 3*g - 29 = j - 5*j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u**2 - 35*u**2 + 16*u**2 - 3)*(-3*u**2 - 2*u**2 + 4*u**2).\nAnswer: 8*u**4 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 5. Let v be s(3). Let m = -23 - -24. Solve o - m = v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1772042*b**3 + 10*b - 12218 wrt b.\nAnswer: 10632252*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10864 and 4.\nAnswer: 10864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*t - 11 + 11)*(3*t**3 - 5*t**3 + 4*t**3) - 2*t**4 + 3*t - 3*t + (0*t - 2*t + 0*t)*(5*t - 3*t**3 - 5*t) + t**3 + t**4 - t**3.\nAnswer: 31*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88195\/3876 - -4\/969. Let p = -353446739254\/125235 + 64912345\/23. Let t = p + 42\/605. What is the common denominator of h and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 3*x + x - x + x + x + (3 - 1 + 0)*(x + 2*x - 4*x))*(0 - 1 - 2) - 2*x - 2*x + 5*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102207951?\nAnswer: 3, 139, 81701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.8 - -16.8. Is a less than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**2 + 150*i + 1125 = 0. What is i?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-88)*((-539)\/42)\/(-7)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a - 4. Let k be (-639)\/284*(-8)\/6. Let g(y) = 5*y + 0*y + 0 + 1 + 2. Give k*q(p) + 4*g(p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.82 in 0.6, 0.122, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 103 + 115. Find the common denominator of -97\/16 and (-1)\/((-40)\/428) + n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*d**2\/5 - 528*d\/5 + 702\/5.\nAnswer: -2*(d + 39)*(7*d - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 40 = -5*j, -8*j + 5*h - 25 = -3*j. Find the common denominator of 3\/4 and ((-584)\/(-240) + -6)*(-3)\/j.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1519*k + 19646*k + 6861*k.\nAnswer: 28026*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 46 and 20111378544.7.\nAnswer: 20111378590.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 - 2*u**4 + 2*u**4 - 3*u**4 - u**4 + 2*u**4 + (-2*u + 2*u + 2*u)*(-u**3 - 3*u**3 + 2*u**3) - 106 + 106 + 41*u**4)*(-3*u + 4*u - 2*u).\nAnswer: -34*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2 (b) -2\/11 (c) -2\/9 (d) -36 (e) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 9 - 2*j - 9.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 5 (c) 4 (d) -2\/73 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22378703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 347\/11 or 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/(-16))\/((-2)\/(-4)). Suppose 2*y - 5*k = 27, z*k + 47 = -2*y + 6*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 48.18 and -0.24.\nAnswer: 47.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*f - 14*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(2\/7)*u)\/u)**(-31)\/(u**(-5)*u*u**1)*((u**(-1)\/u)\/(u\/(u\/((u**2\/u*u)\/u))))\/(u**(1\/4)\/((u**3\/u)\/u)) assuming u is positive.\nAnswer: u**(-1095\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -2*d - 2*d. Let o = -15 + d. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*42 + 5984\/(-425) + 106\/75.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*i + 18, -4*i = -5*i - 4. Let q be (11 + h)*(-5 - 165\/(-6)). Let n = -59 + q. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 3:33 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**6\/360 - 314*r**3\/3 - 344. Let c(k) be the third derivative of j(k). Let g(w) = -2*w**2 + 3*w. Determine c(g(b)).\nAnswer: -4*b**4 + 12*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5364518 divided by -4.\nAnswer: -2682259\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*c + 1831 + 1157 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653594077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + (sqrt(171) + (-3*sqrt(171)*1 - sqrt(171)) - sqrt(171)))\/sqrt(9) - (sqrt(931) + 5 + 2))**2 + -1)*-3 + 5.\nAnswer: -5839 - 420*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 4*f**2 + 6*f + 2. Let c be g(-2). Let w = 8 + c. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 25566.\nAnswer: 51132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12018691.9000038 + -12018695. Let f = 19 + -15.9. Let h = f + v. What is h rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 25 = -2*r, 5*s = 4*r + 4*s - 45. Let t = 48 + 8. Suppose -1 = -o, -26 = -q - 2*o + t. Calculate the greatest common factor of q and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82040 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyyqq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -0.1, 5, -11\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 - -140\nAnswer: 140.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -41 (b) -58 (c) -0.3 (d) 0.5 (e) -1\/3 (f) -8\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 5:34 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*c + 1088 + 188 + 696 = 233 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*a - a - 76, 3*j - 57 = 3*a. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26\/3 + -176\/21. What is the closest to 0 in -2, x, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*i + 60*i + 10. Let v be -2 + i + (2 + -4 - -6). Which is smaller: 2\/13 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 15) in base 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2497*a = 2497*a - 2*i, 5*i - 6 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 + a - 1. Let y = 1 - 0. Let g be k(y). Solve 5*f = -2*x - 25 + 2, -f = -g*x - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**6\/15 + 4*k**5\/25 - k**4\/5 - 8*k**3\/15 + k**2\/5 + 4*k\/5 + 35. Solve n(i) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14) + (-220)\/(-14). Let d = 34 - x. Let a = -19693 + 19711. What is the highest common divisor of a and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1592 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a. Let y(r) = r - 574. What is k(y(g))?\nAnswer: 2*g - 1148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1\/103, -0.622, -5 in ascending order.\nAnswer: -13, -5, -0.622, -1\/103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -6*i - 4*r + 12, 5*i = 2*r - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971 is divided by 42.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -402994?\nAnswer: -402995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28\/5 in 2\/7, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 3:56 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 3 = -29. Suppose 12 = o - 2*w, i*o = 4*o + 5*w + 21. What is the third derivative of 15*s**5 - 12*s**o - 17*s**5 - 24*s**5 - 17*s**2 wrt s?\nAnswer: -1560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.8 and 47.\nAnswer: 366.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luk when three letters picked without replacement from ulkllulkoouok.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -793*z = 29064 - 29697 - 36367 - 44679 for z.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107594490 by 930.\nAnswer: 115693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*d - 1875 + 42 = 0 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 111\/32 (b) 3\/7 (c) -205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4435, 8881, 13327, 17773, 22219?\n\"Answer: 4446*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a2 - 2?\nAnswer: 4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39.999018 + 0.046982. Let i = -39.7 + r. Round i to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1405*i**2*r**4 + 6*i**2*r**2 + 3*i**2*r + 17*i**2 - i*r + 27*r wrt r?\nAnswer: 16860*i**2*r**2 + 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 0*c**2 - 1 + 0 + c**2. Let w(l) = -l**3 + 2*l**2 - 7*l + 8. Let h(x) = 4*f(x) + w(x). What is the units digit of h(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:33 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5125002.\nAnswer: 2, 3, 113, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2 - 300*v - 1. What is d(60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.22 - 1.78. What is the biggest value in -1\/5, -4\/25, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13148952 and 25032.\nAnswer: 92042664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 11:20 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*l**3 + 134*l**3 + 196*l**3 - 921*l**3 + 197*l**3 + 192*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + z + 12. Let r be d(0). Let b(q) be the first derivative of q**2\/2 - 4*q + 1862. What is b(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from eooaaeeaeeoeqeaeqeae.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from rllllrrllllrr?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17442359891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p - 63. Let x be c(17). Let v = -10 + 14. Find o, given that o**5 - 8*o + 8*o**3 + o**2 + x*o**4 - 10*o**4 + v - o**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*n**4 + 3*n**4 + 17*n**4 + (-1 - n + 4 - 4)*(-2 + 2 + n**3).\nAnswer: 35*n**4 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3605 - -3666 - (1 + 98).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 10*n**2 - 2*n - 3. Let u be a(-1). Let i = 21 - -8. Let v = i - u. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 641407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v - 10. Let l be b(7). Suppose 3*w + 3*x = 12, 0*x = -3*w + 5*x - l. Let j be (27\/6)\/(w\/4). What is the greatest common factor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 144 = 7*r. Let b be 245\/(-14) + 1\/2. Let f = b + r. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14624 + 5?\nAnswer: -14616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 344 and 277103696.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1.76078mg?\nAnswer: 1760.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2*d + d)*(452*d + 332*d + 423*d)*(d + 3*d + 0*d).\nAnswer: 9656*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 560 divided by -16\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1506361, -1506280, -1506145, -1505956, -1505713, -1505416, -1505065?\n\"Answer: 27*a**2 - 1506388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4*q = -30, 7363*w + q - 50 = 7354*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3767 - -3769. Solve 0*d - 3*j = d + 2, 0 = -h*d + 5*j - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -y + 4, -2*y + 4 + 4 = 3*l. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/21229020 and -85\/216.\nAnswer: 42458040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 199156667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11262 - 11251. Suppose g = 4*x + 46, -x + 0*x - 58 = -g. What is the remainder when g is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -238 * -0.0292\nAnswer: 6.9496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 26, -10 in decreasing order.\nAnswer: 26, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01527 to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -9, 26, 5, -1, 3 in ascending order.\nAnswer: -9, -3, -1, 2, 3, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urnn when four letters picked without replacement from {j: 1, u: 2, n: 4, a: 7, f: 4, r: 2}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/(-255) + ((-741)\/1615)\/13?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 145750, 291554, 437358, 583162?\n\"Answer: 145804*a - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*7*6\/6. Let i = d - -34. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*h - 2*f = -692, -3*h - 529*f = -266*f - 259*f + 174 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2\/5 (c) 4\/77 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6*l - 35*l - 1 to y*l + w and give y.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.31*-470.3\nAnswer: 145.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1007308400?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 - 76*s - 344. Let m be k(-4). What is the highest common divisor of m and 3144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 75?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 25\/8, -11, -4 in increasing order.\nAnswer: -11, -4, 25\/8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/1595*(-20)\/12.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1512*l - 1428*l - 252 = 0. Let g(n) be the first derivative of 4\/5*n + 0*n**2 + 31 + 4\/25*n**5 - 8\/15*n**l + 0*n**4. Solve g(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, 4, 2, 78, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 0*n + 194*n**2.\nAnswer: 194*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i. Suppose 2*k - 28 = 6*k. Let t = -4 - k. Let n(a) = -3*a**2 + a**2 - 3*a**2 + t*a**2. Give n(c(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10066613 + 9021882 - a - 66088 - 2088927.\nAnswer: -a + 16933480","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 10:47 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.547 from -121.\nAnswer: -122.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2 - 12*y - 23. Let v be f(-7). Let z = v + 163. Which is smaller: z or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.336 + 146.664. Let q = 146.999627 - w. Round q to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08019396 to 4 dps.\nAnswer: -0.0802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**9\/7560 + j**8\/4200 - j**3\/2 - 7*j**2. Let l(u) be the first derivative of w(u). Factor l(d).\nAnswer: 2*d**4*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2224*d + 248. Give x(-1).\nAnswer: -1976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.04 + 2. Let g = -392 + 389.98. Let u = g - -4.02. Sort -0.4, u, f in ascending order.\nAnswer: -0.4, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o**2 - o + 2. Suppose -4*t + t = 0. Let b be s(t). List the prime factors of 22 + 3\/(3\/b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**5\/7 - 366*w**4\/7 + 17074*w**3\/7 - 28066*w**2\/7 - 209268*w\/7 - 163760\/7 = 0?\nAnswer: -2, -1, 5, 89, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 3*t - 3. Suppose 2*x + 5*s - 141 = 0, 0 = 2*x + 2*x - 4*s - 240. Let k be (7\/((-28)\/12) - -61) + 2. Let h = x - k. Determine w(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553976.\nAnswer: 2, 69247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vivivv. Give prob of sequence vivi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23 and 405398.\nAnswer: 405398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 1:47 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35171440 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v = 24*v - 40 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(68) + 3*1*sqrt(68)))\/(sqrt(800)\/sqrt(8) + sqrt(4) + (sqrt(4) - (sqrt(4) + -4*sqrt(36) - sqrt(4)))))**2*5.\nAnswer: 12240\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/7)*b*b*(b**(3\/5)\/b)\/b)\/(b**(2\/3))**(6\/5)*b\/(b\/(b\/b**(-4\/5)))*b**(-4)*b**(1\/10)*b*b\/(b**(1\/5)*b) assuming b is positive.\nAnswer: b**(-23\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794089991.\nAnswer: 794089991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-0.21.\nAnswer: -1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - sqrt(70)*-5)*1*6)\/(sqrt(70)\/(-5*sqrt(567) - sqrt(567)))*-2.\nAnswer: 3888*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 16) to base 4\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 - 24. Let r(k) = 2*k**2 - 23. Determine -3*a(l) + 4*r(l).\nAnswer: 2*l**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.117 + 229.916.\nAnswer: 230.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13398 - 10562. Calculate the remainder when s is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 23*s**2 - 21*s - 71. Let d be t(24). Let o be (3\/4)\/((-3)\/(-2)). Which is the second biggest value? (a) d (b) 0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*y + 402*y + 50*y to m + v*y and give v.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((4 - 5) + -2 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6003 + 533. Is y a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.191 + -4.191. Let h = 2 - 1. Sort y, h, 9 in decreasing order.\nAnswer: 9, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 45\/1513 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 16*v - 56. Let x be t(-10). Suppose -3*p - 3*y = -18, x*y = 2*y + 8. What is the closest to -3\/10 in 2\/5, -2, p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5088 divided by 3\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.17, 5, -1\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*h + 49 - 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8517?\nAnswer: 3, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 33*g + 48. What is the remainder when 30 is divided by x(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2243434?\nAnswer: 2, 661, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/5, -0.044, -1492\/7 in descending order.\nAnswer: -0.044, -11\/5, -1492\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 1392.\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 80 = t - 80, 2*o + 46 = 4*t. Let z = -32 - o. Let c be (10\/(-5) + 2)\/z. Solve c = -y - 3*y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34012448, -68024903, -102037358, -136049813?\n\"Answer: -34012455*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 302993082 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2*f - 18 = -2*g, -4*f - 2*g = -22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 9*y**2 + 9*y + 10. Let h be m(-8). Suppose -l - 4*i - h - 9 = 0, 0 = -l + 5*i + 34. Let a(p) = -p**3 + 9*p**2 + p - 9. Determine a(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 8) to base 7.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6 - h**3 - h**2 + 8*h + 7*h**2 + 1. Let f be g(7). Suppose f*i = -2*i. Solve 0 = -i*q + 3*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 3*m - 20. Let c be ((-6)\/4)\/((-2)\/m). What are the prime factors of c\/(1\/2*-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (268 - 239) + (23 - 0)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4 + 2 - 34023\/66. Does 13 divide (0 - -3)\/(-5*1\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, u: 4, q: 4, n: 3}. What is prob of picking 4 q?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2105215290 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6326440 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 0. Let m = -714 - -721. Let z(v) = -v**3 + 6*v**2 + 7*v + 2. Let d be z(m). Put b, d, 6 in decreasing order.\nAnswer: 6, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628605 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -634*m + 661*m - 297 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 18*j + 91*j to y + d*j and give d.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-6))\/((-3)\/(-9)). Let b(o) = 2*o**2 - o. Let v be b(q). Suppose -5*i + 3*i = -4*k + 52, -3*k + 21 = v*i. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uke when three letters picked without replacement from {u: 1, e: 5, r: 8, p: 3, k: 3}.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1.2, -2\/13, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - r = 0. Let l(d) be the third derivative of -d**2 + 1\/42*d**4 + 0*d**3 + r + 1\/42*d**5 + 0*d. Factor l(a).\nAnswer: 2*a*(5*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) - 38\/(-6). Let t = 0 + f. Calculate the remainder when t is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -267\/2 < -28765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 171019.7 litres in millilitres?\nAnswer: 171019700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 1. Let n be o(2). Let p(z) = 539*z**2 + 4843*z + 26. Let t be p(-9). Put t, n, 0 in descending order.\nAnswer: t, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/12)\/((-1)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**5\/20 + r**4\/2 + 2*r**3\/3 - r**2\/2 - 2*r. Let j(x) = x**2 + 6*x - 4. Let m be j(-7). Does 19 divide w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1322000 to the nearest 10000.\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 4)*(-2*y + 2*y + y)*(13*y - 9 - 10 + 17) to the form w*y + d + p*y**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 42\/(-18))\/((-2)\/12). What is the second derivative of -w + a*w + 2*w - 23*w**4 + 4*w**4 wrt w?\nAnswer: -228*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 737 and 151219.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 8 = 4*f, 4*x + 18 = -2*f - 2. Let s be (-2)\/((-24)\/(-15) + f). Solve s = 5*y + 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cooo when four letters picked without replacement from {c: 2, l: 4, o: 10}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 g, and 2 v when four letters picked without replacement from urrbvvrdgbb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -11. Is (2 + -4 - s) + 193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 113.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-33))\/((-10)\/(-10)). Let h be (-6 + 0)*35\/(-5). Let y be 27\/h*(-2)\/3. Which is the biggest value? (a) x (b) y (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/(-25) + (-2)\/((-30)\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-1868)\/(-9807)*2\/(-56))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((sqrt(99)*-2 - sqrt(99))*-5 - sqrt(99)) + sqrt(99))*6)\/((2*1*sqrt(72))\/(sqrt(8)*1*4)).\nAnswer: 1080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 8*x + 6*x. Let p be (2\/6)\/(1\/9). Suppose x*r = -p*r - 18. Which is bigger: r or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in 2, 11.3, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 25 = 2*m, -2*a = 3*a + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -123 + 66. Let q = j - -60. Solve 3*a - 2*a = -q*x + 12, 5*x - 20 = -3*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.44 * -0.08\nAnswer: -0.0352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 83*p**2 - 3*p - 19. Is o(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {g: 4, e: 4, b: 1, h: 1, i: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116633118 is divided by 355.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-207)\/(-1725))\/((-2)\/(-25)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -5 - (3 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -895, -3562, -8005, -14224, -22219, -31990, -43537?\n\"Answer: -888*g**2 - 3*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553660479 to the power of 1\/2, to the nearest integer?\nAnswer: 39417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -9*l + 3230. Suppose -l*k = -343*k - 3. Put 1\/5, k, 0.021 in decreasing order.\nAnswer: k, 1\/5, 0.021","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*-3*(2 + (396\/(-21))\/11).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/3 - 20*k**3\/3 - 1843*k**2\/3 - 20938*k\/3 = 0.\nAnswer: -19, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34102 > 22541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35, -73, -111, -149, -187, -225?\n\"Answer: -38*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let r(n) = -3*n + 5*n - 4*n. Let b(i) = -i. Let g(p) = p**3 - p**2 - p - 11. Let f be g(0). Let q(c) = f*b(c) + 6*r(c). What is j(q(l))?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 0.2 (c) 2 (d) 6\/79 (e) -6 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 - 87. Suppose 2*r - 2*o + 9 = d, 4*r + o - 17 = 0. Let t(k) = -k**3 + 2*k**2 + k + 3. Give t(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 10 = 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 11. Let z be (-1)\/(w*(-3)\/12). Suppose 10*v = z*v. Solve -8 = 4*q - v*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 339.\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2 + 142 + 0*s**2 - 148 - 9*s + 3*s**2.\nAnswer: -3*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 602154514380?\nAnswer: -602154514377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19, -80, -193, -364, -599?\n\"Answer: -i**3 - 20*i**2 + 6*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 2*u**2 + 2. Let j be r(-2). Suppose 2*w + j*w = 0. Let b(k) be the first derivative of k**3\/3 + k**2\/2 + 4*k - 1. What is b(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27249 by 3.\nAnswer: -9083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 16433 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-344)\/(-44) - (-2)\/11. What is the third derivative of 4*t + 4*t**3 + o*t - 12*t + 5*t**2 wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221498011.\nAnswer: 7, 4547, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4057951054 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -89, -129, -169, -209?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -25 + 12*f + 11 + 14. List the prime factors of l(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*341.7\nAnswer: 3758.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + v + (-4 - 3 + 4)*(-3 - 2*v + 3) + 0*v + 0*v - 2*v - 5 - 3*v + 5.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:43 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29952 and 520?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1319 or -1?\nAnswer: 1319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 7:27 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - h - 10 = 5*n, -h = -5*n + 19. What is the fourth smallest value in -0.11, -4\/3, 0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2098 and 1958883718?\nAnswer: 2098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 4, x: 3, j: 5}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 7*f - 6. Let l be x(8). Suppose -l*b - 316 = -5*w - 6*b, -116 = -2*w + b. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(171)*1 - sqrt(19)) + 0))**2 - ((sqrt(3078) - 2*sqrt(3078)) + sqrt(3078))\/(sqrt(242)*-1).\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-2) - 0 - 53\/(2067\/156) and -69\/2812.\nAnswer: 2812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 = 0, -3*d = 5*b + 1 - 2. What is the third derivative of -12*f**4 + 75*f**2 - 163*f**d + 74*f**2 wrt f?\nAnswer: -288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 35 - 28. Suppose 0 = -2*y - 4*u - 6, -y = -4*y - 5*u - 6. Sort 2, y, 5, r in descending order.\nAnswer: 5, y, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*j - 3, 5*q = -j + 9 + 9. Is j*(0 - (-57)\/9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -17 - ((16 - 61) + 16)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 8*j**2 + j - 6. Suppose -8 = h - 4*p, 3*p = -3*h - 0*p + 36. What is the units digit of s(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2353632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/36947, -2\/11, 28 in decreasing order.\nAnswer: 28, -3\/36947, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + -2 + (-82 - -81) - -16.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3553453 or 2?\nAnswer: 3553453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -122, -2, 11, -0.01, 22, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 4*h + 4*h)*(-2 + 3 - 2) + 2 - 78*h - 120*h + 145*h.\nAnswer: -54*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 3 + 0*x + x - 3 + x**3. Let i(g) = g + 9. Let w be i(0). Suppose -3*l = d + w, -3 + 0 = 3*d + l. What is h(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w + 49. Let p(q) = -q**2 - 8*q + 1. Calculate the remainder when w is divided by p(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3123679711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c - 30 = -22*c. What is the closest to c in 0.4, 2\/15, -0.5, 2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -0 + 12, 3*k + w = 23595. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 103 = 3*t, 4*p - 2*t - 3*t - 344 = 0. Suppose 6*c = 425 + p. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*x**2 - 13*x**2 + x**2 + 314*x**4 + 56*x**4 - x**5 + 2*x**2 - 274*x wrt x.\nAnswer: -60*x**2 + 8880*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021112022 (base 3) in base 5?\nAnswer: -2413410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 21\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 388463 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.5, 3, 13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8615322 + 8602326 = 361*k for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2 = -3*x. What is the common denominator of 49\/8 and x - 41*(-12)\/(-88)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 60. Put 2, 5, s, 4 in increasing order.\nAnswer: s, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -33.3?\nAnswer: 36.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7274979 divided by -30.\nAnswer: -2424993\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12641 divided by -3?\nAnswer: -12641\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 254.2 - 253. Let b = -8.6 + 8.5. Is b greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1.7. Let k be (104\/(-32))\/13 - 50\/(-8). Suppose 3*u - k = u. What is the nearest to y in 0.3, u, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(sqrt(1323) - sqrt(1323)*-3))\/(((sqrt(81)*-1)\/sqrt(9) + sqrt(18)\/(sqrt(2) + sqrt(18)))*-2).\nAnswer: 448*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -21*p - 4. Let r(o) = -5*o - 1. Let g(y) = 9*r(y) - 2*x(y). Let k be (-2)\/(-6) + 2\/3. What is g(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 11*a + 29. Determine h(-8).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2445703?\nAnswer: 13, 419, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -8185050500 to the nearest 1000000.\nAnswer: -8185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 3)\/12 + 80\/150?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/7 - 677888*s**4\/7 - 2711526*s**3\/7 - 2033632*s**2\/7 + 2711528*s\/7 + 387360 = 0. Calculate s.\nAnswer: -338940, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**3\/8 + 11*o**2\/8 - 3*o - 5\/2 = 0. What is o?\nAnswer: -5, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 641 divide 9586185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -27*h**2 - 13*h + 13. Let g(m) = 16*m - 541. Let t be g(33). Let f(p) = 13*p**2 + 6*p - 6. Determine t*f(c) - 6*j(c).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftbffofb. What is prob of sequence bf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1323*q - 1317*q = 0. Let c(v) be the second derivative of 1\/5*v**5 + 0*v**3 + 5*v + q*v**4 + 0 + 11\/2*v**2. What is the derivative of c(i) wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 65 = -11*h. Suppose -4022 = -h*k + 3*c, k + 2*c - 1302 = -495. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -643261*j**2. Let u(v) = 43*v**2. Calculate q(u(t)).\nAnswer: -1189389589*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -2 + 2)\/(-1). Suppose n = 3*k + 404 - 1178. Let h be 4\/(-18) - k\/54. What is the second biggest value in -2\/15, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254147 plus 0.83?\nAnswer: 1254147.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-19)\/(0 + -2 + 3). Let d be 1 - (10\/v + (-10)\/4). Suppose -q = 2*n + 1, 0 = d*n - 2 - 2. Sort 1, q, 0.4, -0.5.\nAnswer: q, -0.5, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*f - 16 = -8*z, -3*f + 12 = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190025 + -190024.7. Let o = 10.73 - -0.27. Let u = o + -8. Sort 0, 4, t, u in decreasing order.\nAnswer: 4, u, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4053169933 - 0.1.\nAnswer: -4053169933.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28 - 0 - (5 - (4 + 0)). Suppose -3*m + w = 5*h - 14, h = -m + 7. What is the smallest common multiple of h and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 23\/8 of a microgram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -2, 2\/905, -3, -5\/6, 3\/479, 0?\nAnswer: 2\/905","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -7*w + 22*w - 189. Let q(y) be the third derivative of -1\/90*y**5 + 0*y + 1\/18*y**4 + 0 + 4\/9*y**3 + w*y**2 - 1\/360*y**6. Factor q(v).\nAnswer: -(v - 2)*(v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 952c9 (base 16) to base 14\nAnswer: 11c961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1610\/230)\/((-385)\/1705).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/113 - 1009\/452. Suppose -2*h = 2*p - 6, 4*h - 5*p + 27 = 3*h. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/25*30\/2)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23160 <= 21769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 20*b**2 - 24*b.\nAnswer: 4*b*(b - 6)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + c + 1. Let s(v) = -15*v**2 + 12*v + 12. Let l(t) = s(t) - 12*x(t). Let o(i) = -3*i**2. Calculate o(l(m)).\nAnswer: -243*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 354*g + 167743. Calculate z(-474).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 17*t**2 + 26*t - 113. Let l be x(18). Suppose 4*c - 2*f = 52, -4*c + 21 + l = -5*f. Solve -c = 5*j + 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2112122140 + 2?\nAnswer: 2112122142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as 422\/179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10645*-0.4\nAnswer: 4258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40999310 divided by -20499655.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + n = -1 - 4, -3*b + 16 = 2*n. Determine r, given that r**4 + 9*r**2 - 12*r**2 + 4*r**2 - b*r**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 105*j**2 + j + 13. Is h(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*d - 6603 = 674 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k**3 + 5*k**2 - 5*k - 7. Let g(d) = -4*d**3 + 3*d**2 - 3*d - 4. Calculate 5*g(t) - 3*j(t).\nAnswer: t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-12) + (-85008)\/(-288). What is the highest common divisor of 30 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.46936 millilitres to litres.\nAnswer: 0.00646936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 54798282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**2 + 2128396*f + 566258691602 = 0.\nAnswer: -532099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 g, and 1 m when four letters picked without replacement from {w: 2, m: 6, g: 4, j: 1, f: 2, c: 4}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = -q, q + 20 = l. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 11:59 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25127365791 from 24897.\nAnswer: -25127340894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6424 and 98404.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k - 22*k + 9*k + 8*k. Let j(r) = -2*r**2 + 30*r. Calculate p(j(w)).\nAnswer: 4*w**2 - 60*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2061212, -4122424, -6183636, -8244848, -10306060, -12367272?\nAnswer: -14428484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2737 + 51*f**2 + 2737 to the form o*f + h + d*f**2 and give d.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9942.997 - -9931. Let i = 0.26 - 12.26. Let j = i - u. What is j rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5214 = 1797*t - 1639*t for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a8c33 (base 13) to base 4.\nAnswer: 2211023011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -7 + -3 + -5 + -15 + -40 - 1?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93260\/32109 - 3\/10703. Let l = v + 18\/7. Which is the nearest to -1? (a) l (b) -2 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 1814\nAnswer: 33\/1814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8619786 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7106 is divided by 2364?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 0*u + 0 + 0*u**3 - 1\/24*u**4 - 3*u**2. Let b(i) be the third derivative of i**5\/60 + 3*i**2. Give b(w(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/53 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - -25. Suppose 4*q + 5 - u = 0. Calculate the least common multiple of 2 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953576508.\nAnswer: 2, 3, 79464709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 65 = 4*g, -3*l + 8*l = -3*g - 60. Let m(x) = -20*x**2 - 15*x. Let p(w) = -w**2 - w. Determine l*p(d) + m(d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2*s = 7*m - 15, 5*m = -5*s + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3321? (a) -2 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 1. Let y be p(-4). Let a(h) = h**3 - 5*h**2 + 2*h - 6. Let u be a(y). Let t be 1\/(1\/3)*u. Solve 2*g + t = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 5*r = -186. Suppose 36*v - r*v - 10 = 0. Suppose -t = -4*j + 16, 0 = -j - 3*t + 11 + 6. Calculate the greatest common factor of j and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 71705962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 49*i - 56 + 24.\nAnswer: -49*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (4 + -3 + -2 - -5) + 5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002000221 rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**2 - 51*f + 176. Give x(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1968 + 2868. What is k rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4221247054 to the nearest integer?\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430746285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*i + 12. Suppose 0*b = 2*b - 6. Suppose -b*k + 3 = -2*k. Calculate the greatest common divisor of i and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/5 - 31409688*h**2 + 314096889*h\/5 - 157048446\/5.\nAnswer: -3*(h - 1)**2*(h + 52349482)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)\/m**(-4\/5))\/(m*m\/(m*m**(-14)*m)*m**(1\/11)) assuming m is positive.\nAnswer: m**(-1061\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) + 26*8\/144. Let a = -0.04 - 0.36. What is the second smallest value in v, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 2 - 2)*(-448*j - 415*j - 301*j + 144*j).\nAnswer: 1020*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*r + 25 + 5*r - 27)*(11 + 3*r - 11) to the form o + m*r**2 + a*r and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/6)\/4 + 16\/6. What is the units digit of g\/(-9)*0 - -155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1659 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n - 30*n - 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*b + 114*b - 7 = 2*u, -2*b - 2*u = 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -16. Suppose -w = 3*j - 6*j, 5*v = -2*j + 28008. Let r be 150\/(3 - 0)*v. Round r to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 7*m**2 + 9*m - 2. Let v be q(8). Suppose 0*h = v*h - 288. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/74 and 95\/164?\nAnswer: 6068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.6 and -49254539.\nAnswer: -49254538.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 13*m**2 - 138*m - 1815. Calculate c(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(648)\/(2*sqrt(12)))\/(6*(sqrt(243) - -2*sqrt(243)))*1 + 1.\nAnswer: sqrt(2)\/54 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 9)*(-7*v + 29 - 29) in the form k*v + u and give k.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1561 divided by 223?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2 + 1814846440*p + 164683380039033680 = 0. Calculate p.\nAnswer: -181484644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 706*p**3 - 8*p**2 - 9*p - 9. Let w be (4 - 2) + (-22)\/2. Let a be r(w). Let k = -315250 - a. What is k rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0471 and -6.\nAnswer: 0.2826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29c - 3?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 1 - 1 - 2*b)*(-324 + 59*b**4 + 324).\nAnswer: -59*b**5 - 118*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1678*u*v*y - 19*u*y - 48*u wrt v.\nAnswer: 1678*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 379 - 331.3. Let v = -47 + k. Which is the closest to -0.1? (a) 3 (b) 0.4 (c) v (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 277475 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 b when three letters picked without replacement from rrrhhhrrrzrhhbhbrb?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 8 + 31*v**2 + 6.\nAnswer: 31*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/32, 0, 3 in ascending order.\nAnswer: 0, 5\/32, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.2 (b) 3\/2 (c) 41 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**6\/90 + h**5\/30 - h**4\/3 + 9*h**3 + 10. Let o(v) be the third derivative of x(v). What is a in o(a) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1 + 4 - 2 + 2*l. Let u be x(0). Suppose 0 = -c + u*c. Solve -4*w = -4*r - 4, c = -r + 4*r + 5*w + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 96730 and -73868021?\nAnswer: 73964751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00251574 rounded to five dps?\nAnswer: -0.00252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = j - 7241, -124*j - 7221 = -125*j + 4*w. What are the prime factors of j?\nAnswer: 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89 + -15303.2\nAnswer: -15214.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9786 less than 0.202696?\nAnswer: -9785.797304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*f - 12, -3*i = -f + 4*f - 54. Suppose -d - i = -5*d. Suppose d*b - 9 = -2*x + 19, 5*x + 20 = 0. Calculate the remainder when 44 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/4)\/(1\/62) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64\/5 in 0, -5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*y - 10*y + 124. Let o be (-2)\/(-8)*y*8. Does 6 divide 34\/(-85) - o\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.86 - -2.22. Let r = -23 - -22.28. Let a = r - y. What is a rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487761111 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 g be ((-6)\/(-9))\/(1\/(-6)). Let i(k) = k**3 + 7*k**2 - 31*k - 9. Let d be i(-10). Let l = d - g. Which is the smallest value? (a) -2\/7 (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13292 + 13293. Solve o + 3*k = -3, -31*o + 26*o = -k - n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (sqrt(3200)\/sqrt(10))**2).\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.825 + -0.8252636. What is y rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 8:08 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -9. Suppose l + 18 = 11*x - 6*x, -5*x + 30 = -5*l. Let d(r) = x*r + 2 - 3 + s. Give d(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93437 is divided by 57?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 41*u**3 + 5*u**2 - 51*u - 27. Let i(h) = -19*h**3 - 2*h**2 + 26*h + 12. Give 9*i(m) + 4*s(m).\nAnswer: -7*m**3 + 2*m**2 + 30*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*n - 8*n + 16*n + (-2 - 1 + 4)*(5*n + n - 4*n))*(-4 - 1 + 1 - 2*n).\nAnswer: -58*n**2 - 116*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -250 + 0*h + 394 - 8*h**2 + 0*h - 147. Suppose 0 = v - 5, -4*v + 29 = 3*l. Let m(o) = -7*o**2 - 2. Give l*m(t) - 2*j(t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -129283824 - -6.86\nAnswer: -129283817.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*y - 1876 = -248 + 6292 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-94884)\/30)\/(94\/(-10) - -9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258, 255, 262, 285, 330, 403, 510, 657?\nAnswer: 850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 59043231 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 793, 1119, 1421, 1687, 1905, 2063, 2149, 2151?\n\"Answer: -2*m**3 + 340*m + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -7*p + 446. Suppose -36*v + 31*v + p = 0. Calculate the remainder when 93 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -956, -4, -3\/5, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 41 + -11 - 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 - -0.1. Let v = -1 + 0. What is the closest to 1\/4 in v, s, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211 - 1216*f + 1224*f - 190.\nAnswer: 8*f + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = m + 393, -4*s + 9*m = 12*m - 303. Solve -21*o - 5*o = -s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m*(m\/(m**(-10)\/m*m))\/m))*m)**(-17) assuming m is positive.\nAnswer: m**(-221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29632\/9 - -3296. What is the common denominator of 74\/(-24)*6\/8 and v?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3008, 6232, 9456, 12680, 15904, 19128?\nAnswer: 22352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2 - 43\/(-22)). Let f be 23\/(-69) + t\/(-30). Let x = -0.55 + 0.05. Put -3, x, f in descending order.\nAnswer: f, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 6:47 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*l + 77*l = -70. Suppose 6*p = l*p + 8*p. Solve 2*f + 3*q - 6 - 3 = p, 5*q - 25 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/13)\/h*h**(-2\/15)*h*h)**38*(h*h*h**(4\/7)*h*h\/(h\/h**(-7)*h)*h)\/(h\/(h*h**(2\/3))*h**(-4)\/h) assuming h is positive.\nAnswer: h**(17333\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 26999576\nAnswer: 161997456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2 - 28*q + 96 = 0. What is q?\nAnswer: 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001188 rounded to 7 decimal places?\nAnswer: 0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8 - 2*m + 0*m + m**3 + 8*m + 2*m + 5*m**2. Let x be z(-5). Does 8 divide ((-4)\/(-3))\/((-2)\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148 and 12506.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 + 98. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35481 bigger than 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13374 + 13362.487. Round v to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 963 + -959. What is the nearest to -1 in b, -1, 3\/4, -3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 554*q*r**2 - 2*q*r + 15*r + 16 wrt r?\nAnswer: 1108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + f = -94, w + 3*w + 3*f = 102. Solve -5*n + 8*g - w = 4*g, 2*g + 14 = -4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12859596 to the power of 1\/2, to the nearest integer?\nAnswer: 3586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 62. Let m = -59.16 + x. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 2*c**2 + 14*c - 5. Let m(r) = -r**3 + 4*r**2. Let q be m(3). Let x be v(q). Suppose -x = -3*z - 5*b, 0 = z + 2*z + b - 668. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 290 and 377.\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-4 + -4 + sqrt(288) + sqrt(288)*1 + sqrt(288) + -1)*5)**2 + -1.\nAnswer: -267301 + 64800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-55)\/(-10)) - (-62)\/22. Let w be 16\/(-32)*(-1 - 7). Solve l = d*l - w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.355 - -0.4. Let u = -0.061 + g. Let k = u - -7.416. Round k to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 37 = 4*l, 4*n = -2*l - 0*n + 4. Let s be l*(-8)\/64*1. Which is the smallest value? (a) s (b) -5 (c) -1 (d) -1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2 + 21*z + 2. Let u(c) = 2*c - 9. Let v(x) = 5*x - 24. Let t(s) = 8*u(s) - 3*v(s). Calculate n(t(o)).\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 7*s**2 - 4*s + 8. What is r(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -15*h - 2. Let v(t) = -2*t**2 - 663 + 663. Give v(q(r)).\nAnswer: -450*r**2 - 120*r - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 2:24 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeqeleqqeeqqeqqelq. What is prob of picking 3 q and 1 l?\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -12.3, -2\/3, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -162737 or -162746?\nAnswer: -162746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2250)\/(-200))\/((-90)\/(-144)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*f**2 + 2*f**3 - 3*f**3 - 15*f**2 wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**5\/100 - 287*i**4\/24 + 479*i**3\/15 + 516*i**2. Factor v(k).\nAnswer: -(k + 479)*(3*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/19062 and -73\/36?\nAnswer: 38124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (0 - 2) - (66 + -71 - 15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.7 + -14. Which is the nearest to -2\/7? (a) -5 (b) 33 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21994677 and 1468.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, 1, 22, 57, 106?\n\"Answer: 7*f**2 - 14*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**5\/2 - 9*k**4\/2 + 575*k**3\/2 + 9081*k**2\/2 + 21133*k + 26460 = 0?\nAnswer: -20, -7, -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = s - 2*a - 70, 0 = -s + 2*a + 74. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(1*sqrt(245)) + -1 - (4 + sqrt(20)\/sqrt(4) + -2)*5)**2.\nAnswer: 748*sqrt(5)\/7 + 11709\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -67965*v - 1379. Let b(z) = -197*z - 4. Determine -1379*b(j) + 4*q(j).\nAnswer: -197*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6308 and 7?\nAnswer: 44156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -1 + 4*sqrt(13))**2 - sqrt(117)\/sqrt(81) - (2 + sqrt(78)\/(sqrt(6) + sqrt(216)*2)).\nAnswer: -406*sqrt(13)\/39 + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 180449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 + (1 - -2) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*w + 1\/6*w**3 + 0 + 1\/6*w**4 - 2\/3*w**2 = 0. Calculate w.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 10*o**2 - 12*o + 21. Let c be y(11). Let u be c*1*(1 - 0). Solve x + 0*n + 1 = -2*n, 4*x + n - u = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (990\/(-6600))\/(0 + 18\/(-16)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31562.11 grams?\nAnswer: 31562110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from {x: 1, s: 3, n: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*a**3 - 12*a**3 - 35*a**3 + 18*a**3.\nAnswer: -76*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -386 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-35)\/14*(-24)\/20. Let l be (-4)\/(-18) - (-142)\/9. Factor -32*p**2 + l*p**2 + 8*p**2 - 4*p**r.\nAnswer: -4*p**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 33822*h**3 - 33817*h**3 + 2*h.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4\/3 + 1808*r**3\/3 + 93960*r**2 + 16483600*r\/3 + 207306500\/3.\nAnswer: 4*(r + 17)*(r + 145)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21567\/8 or 2696?\nAnswer: 21567\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 96\/(-40) + 48\/(-5). Let y be ((-12)\/u)\/(-3 - 17\/(-5)). Solve -2 = -g + 6*g - 2*r, -y*g + 1 = r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 96 = -7*c. Suppose s + 3*m - 70 = 5*m, -3*s = -m - 200. Suppose n = 5 + s. What is the remainder when n is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 109726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -9*d**5\/20 - d**4\/12 + d**3\/6 + d**2\/2 + 4*d. What are the prime factors of j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, -2, 15\/4, -7, 0 in increasing order.\nAnswer: -7, -2, 0, 0.18, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 59368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3. What is the tens digit of 6\/f*(9 + -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.06 * 0.015\nAnswer: 0.0609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 y when three letters picked without replacement from {g: 3, y: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 133588723 and -5?\nAnswer: 133588728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40459411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 107 = 3*k, 3*v + 53 = -k - 0*k. Let p(d) = 10*d - 8 + 11 - d**2 - 6 + 2*d**2. Does 21 divide p(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - n = 0. Let c be (0\/3)\/(n + -1). Solve c*r = 5*r - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 - 10*y**2 + 57*y + 21. List the prime factors of p(-15).\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**4*w*w)\/w**(-4))\/(w*w**7*w**(-3)))\/(w**4\/(w*w*(w\/(w*w\/w**10))\/w*w))**31 assuming w is positive.\nAnswer: w**222","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23293*a*s*u - 2*a*s + 2*a - 102*s - u + 66 wrt u?\nAnswer: 23293*a*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**6\/10 - 11*z**5\/30 - z**4\/3 + z**3\/2 - 8*z. Let d(k) be the second derivative of t(k). Determine y, given that d(y) = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from {h: 1, m: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.358721 rounded to 3 dps?\nAnswer: -0.359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**7\/630 - w**6\/120 + w**5\/60 - 2*w**4\/3 - 3*w. Let y(h) be the third derivative of v(h). Factor y(a).\nAnswer: 2*(a - 1)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 76 and 1309.\nAnswer: 99484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**3 + t**3 + 4*t**3)*(-5 + 2 - 1) + (t**2 - 5*t**2 + 3*t**2)*(25*t + 20*t - 10*t) as v*t**2 + n + q*t + k*t**3 and give k.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 4 - (-52)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 67744\/(-4760) - 4\/(-34). Let r = 72\/5 + p. Which is the third smallest value? (a) r (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from ookooooko?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 1\/4, 0.02, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13317 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3089 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: Simplify n\/(n\/n**(3\/4))*n**8 assuming n is positive.\nAnswer: n**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o + 1037 = -1203. What is the greatest common factor of o and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -111, -195, -297, -423?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2875200325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 13*k**2 - 12*k + 1. Let r be z(-12). Let w be -2 - 2*(-7)\/2. Sort w, 3, r in ascending order.\nAnswer: r, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-964)\/(-723) - (-22)\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2473847265.\nAnswer: 3, 5, 1021, 161531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 101\/(-3) - 10\/(-15). Is 11\/j - (-214)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9586, 9518, 9450, 9382?\nAnswer: 9314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 7:14 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 32 = -12, -c + 5*s + 648 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13320 and 21600?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-34)\/(-6))\/(4\/12). Suppose 2*u = h + y, 5*h - 68 = -4*u + 1. Calculate the remainder when 8 + -14 + 10 - (-14 - 3) is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (12 - (12 + -5 - -4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -4. Let k = -95 + 139. What is the remainder when k is divided by (9 + -10)\/(l\/23)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39\/(-78))\/((-1235)\/(-76))\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*z - 5*z. Suppose -5*o - z*j + 0 = 6, -5*o + 5*j + 15 = 0. Suppose o = 3*u - 7*u, -2*h + 24 = 4*u. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120350413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 - 15 = -4*z, z = -3*b + 28. Which is smaller: b or 12?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/9, -2\/13, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 4. Let r be p(0). Which is greater: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5*(1 + sqrt(275)))**2 + sqrt(275) + ((0 + sqrt(275)*2)**2 - sqrt(275)) - (-3 + sqrt(275)*-2 + sqrt(275) + sqrt(275) + 4 + sqrt(275)*-1)).\nAnswer: -39995 - 1275*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 5 (c) 2\/63 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p + 12*p + 14. Suppose -2*f - p = -13. Suppose 0 = -h - f*h + 104. Is 26 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.2 (b) -194\/9 (c) -1\/4 (d) -0.1 (e) -3 (f) -4.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15554 or 16003?\nAnswer: 15554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, -5, -5.8, 183, -6, -1?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/j**(-1\/6)*j)\/j*j**9)**21*j**(-1\/5)\/j**(-1\/6)*(j*j**(2\/3))**(-12) assuming j is positive.\nAnswer: j**(3532\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 8. Suppose -s = -0*s + b. Let h = 17 - s. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 3. Let j(n) = -2. Let q(m) = 4. Let v(l) = 6*j(l) + 2*q(l). Calculate 4*p(d) + 3*v(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 320.696 and 50.\nAnswer: 16034.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 39289a?\nAnswer: 3928a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p - 182. Give o(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 89*l + 2059. Determine s(-37).\nAnswer: -1234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72804, 72615, 72426, 72237, 72048, 71859?\nAnswer: 71670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005542101 to 5 decimal places.\nAnswer: 0.00554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27087 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**3 - 7*r**2 + 14*r - 12. Let u(d) = d**3 + 4*d**2 - 7*d + 6. Let l(j) = 5*u(j) + 2*y(j). Give l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8*o + 120 = 0. What is the remainder when 0\/(1 + 0) - -23 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uususus. What is prob of sequence ss?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*g - 9. Let m be g\/(-6)*(-8)\/18. Suppose -4*n + n - 9 = 0. What is the nearest to m in 0.1, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 784 + -778. Let r(d) = 53*d**3 - 17*d - 17. Let o(i) = 9*i**3 - 3*i - 3. What is f*r(a) - 34*o(a)?\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 39*t + 219 - 398 - 107 - 45*t. Give k(-49).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 1:52 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 15) in base 8?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 19 = l, 4*c + l - 46 = -19. Suppose 0 = -k - 2, 0*h + 5*k = 3*h - 10. What is the remainder when (h\/(-1) - 4) + 26 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*w**2 + 62001\/2 - 249*w.\nAnswer: (w - 249)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -24, -52, -92, -144?\n\"Answer: -6*u**2 + 2*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/(150\/690*(-2185)\/(-38)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 1375 = 17*i. Calculate the greatest common divisor of i and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35.3 + 35. What is the third biggest value in -5\/6, b, 1\/2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-188 - -45) + 85 + 24?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5043600 rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -2, 4, -4.\nAnswer: -82, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 1:11 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8460 + -3641. Suppose h = 4*d - 3*w, 6*d = 3*d + 4*w + 3609. Suppose d + 183 = -5*o. What is o rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116465861*w**5 - 82183148*w**2?\nAnswer: -6987951660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223902a (base 11) to base 13.\nAnswer: -a73a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -44?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - j**2 - 1. Let b be a(2). Solve 3*n + b = 6*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - -0.399?\nAnswer: -31.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705719507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 448 (base 10) to base 16\nAnswer: 1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, -5, 8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j\/(j\/((j\/j**8)\/j*j))))**(-25) assuming j is positive.\nAnswer: j**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 0 + 0*h + 4\/3*h**3 - 1\/60*h**5 - 5\/24*h**4 - 12*h**2. Determine b(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 3)*(0 - a**2 + 0) + (-15*a - 8*a + 8*a)*(-2 - 2 + 2)*(-3*a + 2*a - 4*a) in the form m + p*a**2 + b*a and give p.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13305709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-55))\/(3750\/5500)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 11*p = 78. Let d(o) = 39*o - 30. Let s be d(p). Let f be (4\/(-18) - -1) + 106\/s. Is 2\/13 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147876, 147815, 147710, 147561, 147368, 147131, 146850?\nAnswer: 146525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v = 21*v + 252. Is 84 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11573 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/1699464 and -119\/520.\nAnswer: 8497320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h - 1 + 1)*(-3*h + 3*h + h) + 0*h**2 - 3*h**2 + 5*h**2)*(-h + 8*h - 2*h).\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 243\/5 and -3\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 132 - 12. Let x = q + -5. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3971 and 627?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1618*p**3 + p**2 + 2338*p + 2.\nAnswer: -9708*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0*v - 22. Let l = -9 + v. Let d be (-9)\/(-24) - (-51)\/(-136). Solve d*f + 2*b = -f + l, -4*f + 4*b - 28 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {e: 16, b: 1, a: 3}.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12*k + 272 = 8*k, 6*p = 5*k + 412. Which is the nearest to -1? (a) p (b) 20 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-30)\/12))\/((728\/(-80))\/13)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21861 is divided by 209.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 26. Let r be g(18). Suppose 5 = b + r. Let d(w) = -w**2 - 7*w - 3. What is d(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + 0 + 0)*(-103*d - 95*d + 68*d).\nAnswer: -520*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(7) - sqrt(84)\/sqrt(3)) + sqrt(7) + (-2*sqrt(7) - sqrt(7)) + -3).\nAnswer: 9 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.1? (a) -1 (b) 0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/285)\/(((-54)\/6)\/(-90))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 88.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314.03 rounded to the nearest 10?\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/6)\/((-36125)\/(-5160) - 7). Let r = x - 1899. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2713?\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 2501*g**4\/12 - 3389*g**3\/3 + 6076*g. Find the second derivative of l(p) wrt p.\nAnswer: 5002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4\/7*f**4 + 20\/7*f**3 - 4\/7*f**5 - 16\/7*f - 20\/7*f**2 + 16\/7 = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -555 smaller than -553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - 6*o**3 + 4*o**3)*(257*o - 29*o - 29*o).\nAnswer: -199*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*j = -21*j + 495*j - 3262*j + 31374 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*n + 128, -n + 2*n + 116 = 2*w. Calculate the remainder when w\/(-6)*3*-2 - 3 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 367 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 2*w**4 + 0*w**2 - 2*w**2 + (0*w**4 + 0*w**4 - 3*w**4)*(-2 - 4 + 2).\nAnswer: 11*w**4 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 71*k - 67*k - 32, 0 = -3*k + 4*k - 4 - 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 555038041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*b**4 + 398*b**2 - 17*b - 6787477?\nAnswer: 32*b**3 + 796*b - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 12)*((-75)\/10 + 7). Calculate the highest common factor of 56 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*q**3 - 50*q - 1516.\nAnswer: 36*q**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -123864226, -247728452, -371592678, -495456904, -619321130, -743185356?\n\"Answer: -123864226*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393493513 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -69 times 2\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.076451846 and 5.\nAnswer: 5.076451846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 3. Suppose -114 = -7*l + 19. Suppose l*i + 66 = 30*i. Calculate the lowest common multiple of h(-8) and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216400 is divided by 36059.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -22. Let b = -15 + k. Solve b*h - 1 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 199, 200, 201, 202, 203?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c - 5. Let o = -435 + 433. Let l(a) = -3*a + 2. Let i be (-1*2)\/((-4)\/(-10)). What is i*l(m) + o*b(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10043, -10046, -10049, -10052, -10055, -10058?\nAnswer: -10061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -581 + 1090. Suppose 20 = -4*y, 2*c + y = -0*y + h. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -33*z**3 - z**2 - 2*z - 5. Let u(n) = -n**2 + 5*n - 2. Let t be u(2). Suppose -m = m + t. Is c(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 2 - 6 - 3 - w**2 - 5*w + 2 - 12*w**3 as s*w**2 + h + b*w + p*w**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 7, e: 2, m: 1, z: 4}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 7, -1\/4, -597?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1202 + 5747*r - 2559 - 735 wrt r.\nAnswer: 5747","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.25401 millilitres in litres?\nAnswer: 0.04425401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/9))\/((v*v**(-4))\/v*v))**(-24\/11)*((v**(-2\/3)*v)**(-3\/20))**44 assuming v is positive.\nAnswer: v**(-1883\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*p - 10 - 39, -3*p = 4*l + 50. Let y = l - -13. Does 23 divide (-1)\/(y*(-4)\/368)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21919, 22141, 22363, 22585?\nAnswer: 22807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 2. Suppose -q - 3*n = 1, -q - 5*n + 2 - 1 = 0. Let h be (q\/6)\/(15\/9). Which is the third smallest value? (a) h (b) g (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -136 - -67. Let j be 74 + -2 - (-1 - 1). Let o = f + j. Solve a - 4 + 1 = -w, 0 = o*a - 4*w + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102189311527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -64734149817923 and 4.\nAnswer: -64734149817919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*h + 2*l - 5*l, -15 = 3*l. Let r(b) = -2*b - 2. Is 9 a factor of r(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h = 5*j - 10, 0 = -4*j + 5*h + 4. Let a(p) = -p**2 + 6*p. Determine a(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95915177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -15. Let o be (-4 + 3)*(-3)\/m. Is -5 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 635 + -634.9. What is the fourth biggest value in -95, 6, u, -3?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -863 + 39. Round f to the nearest ten.\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -548 = -2*p - 3*t, -3*p - 48 + 855 = -3*t. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -5*q**8\/336 + 11*q**5\/60 - 9*q**4\/4 - 77*q**2. What is the second derivative of n(k) wrt k?\nAnswer: -100*k**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 1, t: 1, p: 1, x: 1}. What is prob of sequence pn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 5*x - 2. Let w = -23 - -28. Suppose -3*q = 4*k + 116, 34 = -w*q + k - 121. Let s = q + 26. What is t(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045189992 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -15, 2, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5574*f + 1109219. Calculate i(199).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 104. Let s(w) = -w. Determine m(s(g)).\nAnswer: g + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = c - 5*c - 11*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 15*z + 88. Calculate u(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2250 and 5459790?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -18*f**2 - 16. Let c(g) = g**2 + 1. Determine -80*c(t) - 5*y(t).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110222110 (base 3) to base 5.\nAnswer: -10310234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32994 and 36.\nAnswer: 65988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 2*l**2 - 3*l - 3. Let c = 24 - 26. Let k be x(c). Find the common denominator of (-27)\/k*(-10 + 11) and -95\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4278 * 4030\nAnswer: -17240340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o + 1581. Give v(134).\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6870504.\nAnswer: 2, 3, 467, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17763, -37801, -57839, -77877, -97915?\nAnswer: -117953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c - 60. Suppose -2*j - c = 2*j. Let p = 122 - 123. What is the third biggest value in j, -1\/12, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(1000\/30)*(-5)\/(-3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**4\/7 - 2106*x**3\/7 + 162002*x**2\/7 + 2106*x\/7 - 162000\/7 = 0.\nAnswer: -1125, -1, 1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3600, -3602, -3604?\n\"Answer: -2*v - 3598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71262 is divided by 2970.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.69988 milliseconds to seconds.\nAnswer: 0.08469988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2720 + -5 + 9 + -5*2.\nAnswer: 2, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50032 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 4*s - 3*s)*(1 - 3 + 1)*(3 - 6 + 13).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from ivvpppvvrrvpvvvv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkr when three letters picked without replacement from rrrkrk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-236)\/6)\/(10\/1194). Let v = -4624 - x. Let s = v - 72. Which is the nearest to s? (a) 2 (b) -3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -96, -148, -150, -102?\n\"Answer: 25*s**2 - 127*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 8. Suppose -2*r = c - 39. Let x(s) = 64*s**2. Let u be x(-1). What is the greatest common factor of u and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29915*y**6 - 2*y**2 - 4171*y wrt y.\nAnswer: 3589800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.1 - -8. Let f = 0.3 + -0.31. Let j = 3.99 - f. What is the third smallest value in -4, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-30)*(-1)\/(-2). What is the nearest to -0.05 in -1\/11, s, -3\/2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2412*d = 2147*d + 10335 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -7*c**5\/60 - c**2\/2 - 165*c - 16. Let a(j) be the second derivative of m(j). Let s(d) = 21*d. Give s(a(f)).\nAnswer: -147*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u - 1. Suppose -3*a + 0*f + 10 = 2*f, 5*f = 3*a - 17. Let l = -15847 - -15836. Let j(y) = -14*y - 3. What is a*j(n) + l*g(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -554, -67.7, -0.3, -10, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 135 = -9 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2\/7 - 7012*f\/7 - 14008\/7 = 0. Calculate f.\nAnswer: -1751, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 7*t**2 + 4*t - 9. Let b(r) = r**2 - 8*r + 7. Let q be b(8). Is a(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + y**3 + 3 + 1 + 3*y**2 - y**2. What is the units digit of n(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqqqkq. What is prob of picking 4 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**3 + 4*h**2 - 81*h - 83. What is b(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 864.5006 decades?\nAnswer: 103740.072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**4\/2 + 7617*u**3\/2 - 30531*u**2\/2 - 38145*u\/2 = 0.\nAnswer: -2543, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -14\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(0 - 2 + 1)*(-41*c + 0 - 345*c + 1)*(-c**2 + 5*c**2 + 0*c**2) to the form o*c + l*c**2 + f*c**3 + d and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llk when three letters picked without replacement from lsthlwssklkl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2830 - -9253. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.163 in 2, -0.07, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -11558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2108\/11 in -2, -93, 3, -0.5?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -30.543.\nAnswer: -30.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 48975 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 5) + 0 - (0 + -58). Suppose -43*v + p*v = 378. Calculate the lowest common multiple of v and 120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**3*o - 106*h**3*z - h**3 + 949*h*o*z - 4*o**2 wrt o?\nAnswer: -h**3 + 949*h*z - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -1. Let l(g) = -4*g**3 + 2*g**2 + g. Let c be l(p). Let u(k) be the second derivative of k**5\/20 - k**4\/2 + 2*k**3\/3 + k. What is u(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - h - 182. Let g be z(-16). What is the greatest common factor of g and 1710?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 33, 78, 141, 228, 345, 498?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 35 - 5 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -3) + 6 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-441)\/315)\/(-7)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475*x - 2*x**2 + 0*x**2 + 4*x**2 - 96*x.\nAnswer: 2*x**2 + 379*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 121?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.008 and -69013.\nAnswer: -552.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 + 76. Suppose 5*i - 18 = 2. Let t(w) = -i*w**3 + 3*w**3 - 7*w - 2 + 16*w - 7*w**2. Calculate t(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b - 17. Give h(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 332679*b**2*m + 2*b*m - 258*b - 69*m wrt b?\nAnswer: 665358*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 1\/41 (c) 0 (d) 2\/3 (e) 68 (f) -9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15959*h**4 - 3*h - 16 + h**3 + 2*h + 7982*h**4 + h**2 + 7979*h**4 in the form t*h**4 + w + r*h**3 + o*h + v*h**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 - 19 - (14 - (17 - -19) - -13).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80.47 + -80.57. What is the third biggest value in -14, 0, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**4\/4 - 4*q**3\/3 - 3*q**2\/2 + 2*q - 2. Let f be i(-3). Solve 0 = -f*m + 2 - 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8795 is divided by 141.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -2*b - 5 - 2, 4*b = -20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z. Let a(w) = -1932292*w**2. Calculate a(p(f)).\nAnswer: -1932292*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.5 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001961 to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70260*w + 4*w**2 - 1 + 2*w**2 - 70303*w - 7*w**3 + 5*w**3 to t*w + h*w**2 + v*w**3 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 90 + 3*o - o - 109 - 44 - 31.\nAnswer: 2*o - 211","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3595123 take away -101?\nAnswer: 99.6404877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -17. Suppose 0*a + 2*a = 3*b + p, -2*a = 3*b - 22. Solve a*o = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28789571.\nAnswer: 28789571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) -69 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1137342)\/(-18) - 6\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287, -194, -33, 202, 517?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 94732, -1, 2, -3.6 in increasing order.\nAnswer: -3.6, -1, 2, 94732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.19 + -2.81. Which is the nearest to u? (a) -4\/7 (b) 0 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 93249 + 16*g - 93224 - 4*g**2 + 3*g**2. Give u(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14157612?\nAnswer: 2, 3, 7, 61, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 74, 137, 206, 281?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-1\/14)*f*(f*f**(-4\/5))\/f*f**(-10)\/f*f**(-14)\/f assuming f is positive.\nAnswer: f**(-1741\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 - -1203\nAnswer: 1204.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -229*x**3 - 1388*x**2 wrt x.\nAnswer: -1374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 + 55. Which is the nearest to -2\/3? (a) 5 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) 0.4 (c) -13 (d) 5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 12 = d - 4*l, 2*l = -2*d - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -361, 2, 19.\nAnswer: -361, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a**(2\/9)*a))*a*a)\/a)\/(a*a*a**(-5)*a)*((a*a*a**(-4)*a*a)\/a*a)\/(a\/(a*a*a*a\/(a\/(a*a**1))*a*a)))**1 assuming a is positive.\nAnswer: a**(92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b + 16. Let j be h(-2). Sort -1, j, 4, 1.\nAnswer: -1, 1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 2*m**2 - 4*m - 2. Suppose -2*b = -4*y - 0*y - 4, 2*b - y = -2. Determine d(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -15*g + 72. Let j be g*((-21)\/8)\/(-7). Factor -1 - j*b - 7\/2*b**2.\nAnswer: -(b + 1)*(7*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**5 - 6*x**2. Let a = 10 - 17. Let i(k) = 12*k**2 - 14*k**2 - k**5 + 0*k**5. Let c(g) = a*i(g) + 2*z(g). Find the third derivative of c(m) wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3945 and 50?\nAnswer: 39450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2438 is divided by 89.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17, -77, -177, -317, -497, -717?\n\"Answer: -20*c**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 1, -1, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5622332 (base 7) to base 8\nAnswer: 2514731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 + 2*k - 6. Let t(q) = 9*q**2 + 3*q - 12. Let i(r) = 7*j(r) - 4*t(r). Let p = -36 - -41. Calculate i(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 2*x**2 + 0*x**2)*(-3 - 2 + 4 + 0 - 4 + 2 + 2 + 1 - 4 + (-5 + 6 + 0)*(5 - 4 - 2) - 3 + 6 - 2)*(5 + 0 - 4).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 + 5 = 0. Suppose -2*u = -5*k + 10, -4*k - s*u = -32 - 9. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, r: 2, e: 3}. What is prob of picking 2 e and 1 r?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -126288096 divided by 1913456?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -28 + 6 + 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 27*g**5 + 39*g**4 + 12*g**3 - 15*g**2. Let x(u) = -7*u**5 - 10*u**4 - 3*u**3 + 4*u**2. Let t(q) = 4*b(q) + 15*x(q). Let t(f) = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 + 4*l - 3*l**3 - l**3 + 2*l**4 - 4*l**2.\nAnswer: 4*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/(-12) - (-42 - -55)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481541981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -55, -46, -37, -28, -19?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -392370*r - 453012?\nAnswer: -392370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 2. Suppose 5*i = 4 + 6. Let h be u(i). Let y(g) = -44 + 33*g - 7*g + 40 - 25*g. What is y(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49*l**2*u**2 + 2668*l**2 - l*u**3 + 3*l*u + 9*u + 2 wrt u?\nAnswer: 98*l**2*u - 3*l*u**2 + 3*l + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1082, -1977, -2670, -3149, -3402, -3417?\n\"Answer: 2*c**3 + 89*c**2 - 1176*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -225 - -232. What is the biggest value in -4, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 = -4. Suppose -2*m = -p + 1. Let n = -951 + 950.8. What is the biggest value in n, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -35, -63, -105, -167, -255, -375, -533?\nAnswer: -735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86260242 a multiple of 1105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-170)\/3)\/(16\/6 + -3).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3\/3 - 40*s**2 - 75*s - 110\/3.\nAnswer: -5*(s + 1)**2*(s + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 10095.61.\nAnswer: -10096.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b. Let t be q(-7). Let u = t - -12. Suppose -2*y - 113 = -u*n, 0 = 2*n - 5*y + 2*y - 43. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2514 = -4*s, 0 = -2*p - 44 + 40. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1503 + 10 - 817 = -770*q. Let u = 7 - 4. Solve -5*g + 3 = q*i + 12, -i - 2*g = u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -2*j**2 + 0*j - 1\/24*j**6 + 7\/12*j**5 + 0 + 25\/6*j**3 - 55\/24*j**4. Factor t(z).\nAnswer: -5*(z - 5)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 14*u - 5. Let q(f) = -460480*f. Determine q(t(o)).\nAnswer: -6446720*o + 2302400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 343*f + 168584 - 151777 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14338 or 14347?\nAnswer: 14338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, o: 1, q: 1}. Give prob of sequence hqo.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 19110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m*y**4 - 2*m*y**3 + 3429*m*y**2 + 296*y**4 - y**3 + y**2 wrt y.\nAnswer: 48*m*y - 12*m + 7104*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f. Let j(m) = m**2 - 5*m. Suppose t + 3*n = -6, t + 4 = -5*n + 2. Let y(g) = 3*g**2 - 12*g. Let p(x) = t*j(x) + 5*y(x). Give p(d(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1394 and -10.764?\nAnswer: -1.5005016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 114?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -894098, -894120, -894140, -894158, -894174?\n\"Answer: q**2 - 25*q - 894074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -36 + 28 + 1 + 6438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2038050964 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -356 - -769. Let f = 413.2 - t. Which is the second smallest value? (a) -0.1 (b) f (c) 3\/50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-159.\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1390*t**2 - 950*t**3 + 692*t**2 + 698*t**2 + 2592*t**3.\nAnswer: 1642*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17094*i**4 + 1305*i*m**2 - 8380554*m**2 with respect to i.\nAnswer: 68376*i**3 + 1305*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 308\/(-11)*(-12)\/7. Let b = 225 - 80. Suppose -385 = -15*h - b. Calculate the greatest common factor of h and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.26 + 1.74. Let k = 21.56 - b. Round k to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -482 + 385 - (-29 - (10 - 13))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 21*g**2 + 15*g**2 + 42*g**2 - 3*g + 3*g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2.4. Which is the closest to 0? (a) m (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 + 3. Suppose -3*c - 2*i = -9, 4*i - 4 = -2*c + 2. Calculate q(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 56825*g - 96157*g.\nAnswer: -152982*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.06 + -0.06. Let s = -0.099 - 0.901. Let r = 2231 + -2230.7. Put s, r, -2\/3, g in descending order.\nAnswer: g, r, -2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/6)\/(140\/(-525))*(-5)\/(-20)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + 7) - ((109 - 45) + -35 - -2)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 17058465.\nAnswer: -4\/17058465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 23*p - 73. Let v be d(-19). Suppose -f - 21 = 5*q, -q + 12 - v = -2*f. Let w(a) = -2*a + 2. Give w(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**3 + 56*d**2 + 11*d + 11. Let w(z) = 2*z**3 + 19*z**2 + 4*z + 4. Let h = 1092 + -1088. What is h*u(q) - 11*w(q)?\nAnswer: -2*q**3 + 15*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 2. Suppose 5*u - 200 = -3*u. Let c = u + -21. What is w(c)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -172005 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4. Let z be -2 + (-107 - n)\/(-2). Is 12 a factor of (z\/2)\/((-3)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -2*m**3\/3 + 5*m**2\/2 - 2*m - 6. Calculate d(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3862 by -509.\nAnswer: -3862\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 48. Let h(x) = 2*x. Calculate h(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3851311.\nAnswer: 821, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10970 and 7679?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 12 = -4*u. Suppose -11 = -u*d + 4. Suppose 0*a = 2*a - 5*b - 35, 0 = d*a - 5*b - 50. Calculate the least common multiple of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - g**2 - 4*g + 5. Let t be p(0). Suppose 6*q = 2*q - 40. Let l be 1\/5 - 98\/q. Calculate the greatest common factor of l and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 3*b - 23, 5*w + 3*b = 167 - 172 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**3 - 18*p**2 + 12*p + 72 = 0.\nAnswer: -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11321 + -21?\nAnswer: 11300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5681 and 3952?\nAnswer: 90896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37199453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-70)\/(-70))\/(2\/(-3)). Which is the smallest value? (a) 4\/5 (b) t (c) -0.67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/7 + 34*i + 2304\/7 = 0. Calculate i.\nAnswer: -9, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2969 + 2969 - 2822*f**2 - 1031*f - 4018*f wrt f.\nAnswer: -5644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2075861 - 557527. Let g = -4918334 + p. What is g rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -1. Suppose -j = -2*j + a. Suppose h = n + 5, -h - j*n = h - 28. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2. Let r(i) = 6*i + 4296. Calculate r(u(f)).\nAnswer: -6*f**2 + 4296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 785683851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 77 - 177 + 101. Let t(y) be the third derivative of -y**4\/6 - y**3\/2 + y**2. Suppose -6*a + 10 = -4*a. Determine a*v(s) + t(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*13 + (-10)\/(-15)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -21?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3207616, 3207613, 3207610, 3207607?\n\"Answer: -3*p + 3207619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 43. Let l = x - 37. Solve l*i - 1 = 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 261.\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 16) to base 9\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**5\/60 - 7*r**4\/8 + 10*r**3\/3 - 804*r**2 + 1. Factor j(p).\nAnswer: (p - 20)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 0.2. Let n = 2.259 + 0.041. Let k = n + -2.4. Which is the biggest value? (a) o (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 + 3*r**5 + 0*r**5 + 2*r**5 - 4*r**5 + 4*r**5 + (4*r + 3*r - 6*r)*(-2*r + r**4 + 2*r) - 2*r**5 + r**5 - r**5 - r**3 - 6*r**5 + 0*r**3 - r**3.\nAnswer: -4*r**5 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-36)*15*6624\/(-17664)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1 + 5*p - 11*p**3 - 6 - p. Let j(g) = 6*g**3 - 2*g + 3. Let l(y) = -17*y**2 + 36*y + 1. Let a be l(-3). Let c = -256 - a. Determine c*t(n) + 7*j(n).\nAnswer: -2*n**3 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*w - 1155 - 649. Suppose 90*q = w*q + 1000. Which is bigger: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 11515*j + 470387. Give g(-41).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 7*b - 1. Let c be k(6). Let a(w) = w**3 - 6*w**2 + 4*w + 2. Determine a(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzhh when four letters picked without replacement from hhhimwwrzmm?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sff when three letters picked without replacement from {f: 2, s: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*g - 28050 = 0, g + 6804 = 3*f - 10038. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efze when four letters picked without replacement from {z: 3, f: 1, e: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4669393249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u + 794*u**3 + 19*u**4 - 794*u**3 wrt u.\nAnswer: 228*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/100 and 29\/40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 0 + (0 - -4) - 3) + -44 + 107?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(-f + 4*f - 5*f)*(-34 + 34 + 105*f**4).\nAnswer: 630*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwimiimiiwkiiiii. What is prob of sequence iim?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 38*s**5 - 4*s**3 - 3*s + 16. Let j(l) = 38*l**5 - 3*l**3 - 3*l + 14. Let r(b) = 4*a(b) - 5*j(b). Find the second derivative of r(f) wrt f.\nAnswer: -760*f**3 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2 - 12*p + 28*p - 22*p. Suppose 3*d = -15 - 6. Let i(g) = -13*g - 4. Let q(y) = d*a(y) + 3*i(y). What is q(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 29*u**2 + 932*u + 127. Determine k(-32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000255226 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g + 2. Suppose 3*x + 45 = 63. Let m(q) = -9*q - 7. Determine x*m(l) + 21*v(l).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12334 * 4225\nAnswer: -52111150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -0.6. Suppose 2*v - 3*v - 3 = 0. What is the smallest value in 0.1, k, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11468, 15882, 20296, 24710, 29124, 33538?\nAnswer: 37952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isi when three letters picked without replacement from siii.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 6*s + 2*s = -3, 3 = -2*q + 5*s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i**4 - 6*i**4 + 8*i**4 + (2*i + 3*i - 3*i)*(3*i**2 + 5 - 5)*(0*i + i + i) in the form z*i**4 + r + c*i + v*i**3 + a*i**2 and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1000 and 43550?\nAnswer: 871000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 15*z**2 - 440*z + 878. Calculate the remainder when 449 is divided by b(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 - 2*n + 2. Let m(c) = -3*c**2 - c + 1. Give -3*f(o) + 4*m(o).\nAnswer: -3*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 159009\/70385 - 4\/2011. Let k = 12\/5 - c. Let x = 0 + -0.5. What is the biggest value in x, k, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977715?\nAnswer: 3, 5, 21727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/7 - 6*o**3\/7 + 6*o**2\/7 - 2*o\/7.\nAnswer: 2*o*(o - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 979*c**3 + 929*c**3 - 1912*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 17*v + 30. Calculate the lowest common multiple of 6 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/12 and -91\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2471, -2570, -2779, -3152, -3743, -4606, -5795?\nAnswer: -7364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 2*z + 1, -100*z - 5*i + 35 = -95*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbjjjb. What is prob of picking 1 j and 1 b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1797 and 3027?\nAnswer: 4824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4462\/7 - 637. What is the closest to c in 4, 2, -1.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 12:12 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 6*k = 0. Suppose k = 5*z + 5*v - 37000005, -z + 2*v + 7399996 = -2*v. What is z rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(270)*3 - sqrt(30))\/(sqrt(90)*-2 - sqrt(10)).\nAnswer: 32*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(13) + sqrt(637) + -1 + 5) + 6*(sqrt(13) + (sqrt(39)*-3)\/sqrt(3))*-2.\nAnswer: 16 + 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 50. Let y be 8\/10 + (-33)\/v. Let g be -1 + (0 - -1) - 1. Sort 5, g, y.\nAnswer: g, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 != -6492\/215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1 - 5 + 0 - 3*q. Let r(s) = -46*s + 2*s**2 - 50*s - 30 + 104*s. Let t be r(-6). Calculate o(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.106 - 280.106. Let d = 279.9 + v. Suppose 0 = -3*j + 5*j - 4. Put d, j, -3\/8 in descending order.\nAnswer: j, d, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i - 18*i + 0*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 27*f = 114, -762*f + 761*f + 3 = -2*h - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 94864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 98*j - 874. Let n be i(10). Solve -n*v + 10 = 28 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 - 2*a**2 - 3*a + 2. Let w be h(2). Suppose 0 = -2*q - 2*q + w. Does 11 divide 162\/15 - q\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - r**2)*(-2*r**2 + r**2 + 5*r**2) + r**4 + 3*r**2 + 3*r**4 - 6*r**4.\nAnswer: -6*r**4 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 10.5, -5\/6, -53 in ascending order.\nAnswer: -53, -6, -5\/6, 10.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 794996.3ng in tonnes?\nAnswer: 0.0000000007949963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-22)\/12)*16\/(-40)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3 + 1. Let n(o) = -2*o - o**3 - 3*o**2 + 5*o + c + 0*o. Give n(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(((-21)\/315)\/((-2)\/(-215)))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + b - 13 = 13, 0 = -5*l + 2*b + 31 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73479*h**4*y**2 + h**4*y + 1990*h*y**2 - 32*h wrt h?\nAnswer: 881748*h**2*y**2 + 12*h**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 2*c + 4. What is the derivative of 0*r + 3*r - c + 2*r**4 - 3*r wrt r?\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 5\/((-10)\/(-4)). Suppose -3*o = a*o - 15. Let f be 0\/(-5) + (-2)\/(-2) + 1. Solve 5*z + 24 = f*q + z, 4*z + 28 = o*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 4622 = 986. Which is bigger: 1217\/6 or n?\nAnswer: 1217\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a4 (base 16) to base 10\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -47140, 1, -0.33 in decreasing order.\nAnswer: 1, 0.3, -0.33, -47140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)*h)**(-48)\/((h\/(h\/(h*h*h**(4\/9)))*h*h)\/(h\/h**(-2\/11))) assuming h is positive.\nAnswer: h**(-8243\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103382\/119355 + 139\/327. Let l = -3\/73 - h. Put -1\/3, 1, l in ascending order.\nAnswer: -1\/3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -18*d + 10*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 14. Let g be d(-11). Suppose g*c - 63 = -4*i, 5*i + 0*c - 77 = -2*c. Let u = i - 10. What is the remainder when 14 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24522831.498 rounded to the nearest ten thousand?\nAnswer: 24520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0459 take away 276.49?\nAnswer: -276.4441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1*(-120610)\/48244\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + j**2 - 11*j**3 + 56*j - 54*j to b*j**2 + r + f*j**3 + c*j and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.31, -14, 5132\/5?\nAnswer: 5132\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3892 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/((-5)\/6)*-10. Let r be (-5)\/((-40)\/(-1092))*-4. Find the common denominator of r\/k - -1*1 and -29\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 966 - -1?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 16. Suppose -5*t + 2*m = 0, -t + 6*t = -g*m + 30. What is the third derivative of -42*y**t + 30*y**2 - y**5 + 9*y**5 wrt y?\nAnswer: 480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 greater than or equal to 12827\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 5:21 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1001112010 (base 3) to base 8\nAnswer: -50471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 y, 1 k, and 1 a when four letters picked without replacement from {y: 2, a: 1, e: 3, q: 4, d: 1, k: 1}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x\/x**(-3)))\/x)*x**5)\/(x**1*x\/(x*(x*x**7\/x)\/x))*((x**(-9)*x*x)\/x**12)**(-18\/5) assuming x is positive.\nAnswer: x**(417\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*f**4*v - 803*f**3*v**3 + 6*f*v**3 + 1097*f*v - 3*v**3 wrt f.\nAnswer: -96*f**2*v - 4818*f*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 284*a + 167 = -81*a + 1099, -5*w - 284 = -10*a + 6*a for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/(-1617)*((-6)\/4)\/1.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f + 55. Suppose -31 = -3*s + f. What is the greatest common factor of 56 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/6, 2\/21, -16\/9, 41, 0.03?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -237*q - 19. Let v be i(-10). Suppose v = -7*r + 10408. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-80)\/240*2\/(10\/(-3)). Determine n, given that l*n**2 - 2\/5*n - 1\/5*n**4 + 0 + 3\/5*n**3 - 1\/5*n**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-9\/4)*z*z*z**3\/z)\/(z**(1\/5)*z**(8\/9)))**(-37) assuming z is positive.\nAnswer: z**(-11063\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2658.12.\nAnswer: -2661.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 172711 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4, 36, 124, 298, 588?\n\"Answer: 5*a**3 - 2*a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 1\/32 (c) -1\/3 (d) 1\/65 (e) 0 (f) 2.8 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 3, i: 4, h: 5}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:03 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 3*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - q**2 - 2*q + 3. Suppose -29*a - 30 = -44*a. What is u(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1171*y**3 + 1 + 1444*y**2 + 1441*y**2 - 4323*y**2 + 1438*y**2 as r*y**2 + i + d*y**3 + g*y and give d.\nAnswer: -1171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27735 and 1075.\nAnswer: 138675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 14) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152689 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28790 by 5758.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18 + 13 + -10 - -105. Solve 115*h = 100*h + g for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*a = -80*a + 27*a + 3476 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15 = 0, 15 + 9 = 3*n + 3*t. Let d = 0 + 2. Which is bigger: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3842 * 0.4.\nAnswer: -1536.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1 (b) -0.12 (c) -0.5 (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3397*r**3 - 5*r**2 + 5*r + 5. List the prime factors of q(-2).\nAnswer: 19, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -3 (c) 17720 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -23*v**2 - 17*v - 17. Let i(n) = 4*n**2 + 3*n + 3. Let s(p) = 6*d(p) + 34*i(p). Let j = -8 - -11. Let h(w) = 3*w - j + 3. What is s(h(y))?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r**2*r)*r*r*r\/(((r\/((r*r**7)\/r*r)*r)\/r)\/r) assuming r is positive.\nAnswer: r**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r + 12. Let u be l(-10). Let w = -18 - u. Suppose w*i + i + 3 = 0. Which is the second biggest value? (a) i (b) 5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c = 25. Suppose -4*r = c + 119. Let h = -25 - r. Calculate the smallest common multiple of 2 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5161)\/(-156) + (-13)\/156.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 10*s - 2. Let v(j) = 24*j**2 - j - 1. Let l be v(-1). Suppose -4*m = -2*m - l. Is z(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*w - 0*w. Let a(b) = -b**3 - 8*b**2 + 9*b. Let n be a(w). Solve n = -k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1456.1195 + -1456. What is k rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.0025 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-11)*p)\/(p*p**(-7)*p)*(((p\/(p*p\/(p*p\/(p*p**(-7))*p)))\/p)\/p)\/((p*p**(-2))\/p))**(-2\/133) assuming p is positive.\nAnswer: p**(-8\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/6 (b) -0.05 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3054365 - 3115352.32. Let z = j - -60873.32012. Let s = z + 114. What is s rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -442561 or -442554?\nAnswer: -442561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/4 + 4*o**3 + 27*o**2\/2 + 14*o + 19\/4.\nAnswer: -(o - 19)*(o + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(608) - (sqrt(608) + sqrt(608)*-3)) + -1*(sqrt(38) + sqrt(266)\/sqrt(7)))\/(sqrt(24)\/sqrt(3)*-3 - -6*sqrt(72)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l + 17. Let q be c(6). Solve 0 = h - 1 + q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8*t + 85 = 0. Let -2 - 32*z + 12 + 5*z**2 + t*z = 0. What is z?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 12:30 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, -0.2, 39\/773?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l + 54. Let q be (-6)\/(-8)*-2*(-124)\/93. Let x be 2\/((-20)\/q) + (-29)\/(-145). What are the prime factors of t(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1042551606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than or equal to -37005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from {b: 1, q: 2, p: 8, j: 1, f: 2, h: 1}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11337117 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: Put -15, -0.04, -12 in descending order.\nAnswer: -0.04, -12, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + u**2 + u**2)*(1 - 1 - 2)*(u - 2*u - u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7191, -7115, -6951, -6669, -6239, -5631?\nAnswer: -4815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487 + 3*p + p - 247 - 240.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/18 - (-54)\/4. Let m be (-289)\/2 + u\/(-8). Is (3 + m\/(-4))*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 281248880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -309, 4 in increasing order.\nAnswer: -309, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31.3827 + 0.4467. Round r to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3\/7 - 2318*j**2\/7 + 253380*j\/7 - 205200 = 0?\nAnswer: -1260, 6, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 500 + -492. Let y be -3 - -4*3\/1. Let n be y\/3 - (-3 + 11). Let r(k) = -14*k**2 - 6*k + 8. Let q(o) = -9*o**2 - 4*o + 5. Calculate n*r(f) + z*q(f).\nAnswer: -2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2. Let r = -60 + 64. Suppose 5*s - q = 32, -4*q = r*s + 6 - 46. Let z(v) = v + 6*v - 15*v + s*v. Calculate j(z(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/3*(-72)\/16. Suppose 2*b + x - 22 = -7, 4*b - x = a. Suppose -b = -k - 4. Calculate 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 (-160)\/(-24)*54\/25 - (-18)\/30?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 9*s - 3. Solve -2*q + 3*q = 3*a - s, -5*a = -q - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4495831, 4495832, 4495835, 4495840, 4495847, 4495856, 4495867?\n\"Answer: t**2 - 2*t + 4495832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let m(i) = -i**2 - 893. Determine m(d(b)).\nAnswer: -b**2 - 893","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 24. Let w be (k\/9)\/((-1)\/(-6)). Let a(v) = -v - 4. Let u be a(-4). Solve w + u = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1585868 to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -193 - -655. What is the greatest common factor of z and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {c: 9, k: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4776474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2. Let y(z) = -2*z**2 + 539*z + 3. Determine y(g(a)).\nAnswer: -32*a**4 - 2156*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*m - h, -2*m + 3*h - 16 = h. Let d be (-39 - 1)\/4 - (-41 - -33). Let n be (m\/d)\/((-7)\/(-42)). Calculate the greatest common divisor of n and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 306*p**5 + 522*p**4 + 122*p**3 - 98*p**2 - 4*p = 0.\nAnswer: -1, -2\/51, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/10 (b) -0.5 (c) -94 (d) -7.2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5895*p**3 - p + 13357 with respect to p.\nAnswer: 17685*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 59) + -27 - (-21 - 9).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 2:29 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 - 6*f + 7. Let u(y) = 13*y**2 + 19*y - 22. Let q(a) = -7*b(a) - 2*u(a). Is q(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/9, 5, -15?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 14b3?\nAnswer: -14ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-1))\/(27 - 30))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 10*z - 7. What is x(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361551 is divided by 72309.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*n - 4*o - 2, 4*o = -5*n + 31. Solve -n = 5*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 120 = i, -60 = -4*g + 2*g + 5*i. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*c = 17, 753 - 760 = -2*y + 3*c. Solve y*l = 42*l - 34 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 3*l - 10, 24598*w + 2*l + 20 = 24602*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5 - 116*x**4 + 1868*x**3 - 6248*x**2 + 7346*x - 2852 = 0. Calculate x.\nAnswer: 1, 2, 23, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40815630, -40815631, -40815632, -40815633, -40815634, -40815635?\n\"Answer: -v - 40815629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.5 (c) 0.5 (d) 5 (e) 2096180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 z when four letters picked without replacement from {z: 3, v: 7, o: 4}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a = -10. Let l be a + ((-30)\/(-9) - 1). What is the closest to 0 in -2\/5, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -31*k**3 - 17951*k**2 - 1164*k - 3493. Determine l(-579).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 779848573 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -39*z**2. Let q(c) be the second derivative of -c**4\/12 + 932*c. What is q(j(b))?\nAnswer: -1521*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 + 365. What is the least common multiple of 63 and s?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*a = 0. Suppose k + 119 = 3*b - a*k, b - 4*k = 47. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**4\/7 - 56034*c**3\/7 - 504438*c**2\/7 - 840830*c\/7 + 1401300\/7 = 0.\nAnswer: -5, 1, 28026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134 and 20234?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -160490 take away -5103.455?\nAnswer: -155386.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7 - 9 = 0. Suppose 3*k - t*k - 4*w = 288, -2*w - 904 = -3*k. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651300 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f + 10*f**2 + 8*f.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -1) + (-8 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1091*w**3 + 20*w**2 - 22*w.\nAnswer: 6546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 <= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, s: 10, p: 3}. Give prob of sequence spms.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -105*d**2 + 2000*d - 95.\nAnswer: -5*(d - 19)*(21*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 30*w**2 - 205*w**3 + 2*w + 208*w**3 - 301*w**2 - 66*w**2 + 0*w in the form p*w + f*w**2 + s + z*w**3 and give f.\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15695 - 15691. Calculate the remainder when 11089 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q - 1. Suppose 4*v - 3 = 1. Let i be (-1 - 3)\/(v\/(-2)). Is b(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 265 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from gttwtggwtgw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1542888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 13. Let t be u(10). Let q(i) = i**2 + 0*i**2 + 3*i**3 + 0*i**t + 4 - 3. What is the remainder when q(2) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10341 divided by 3\nAnswer: -3447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*g**2 - 2*g**3 + 175*g**2 - 100*g**2 - 237*g**2.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 9, -3\/4, 41, 0.3, -73, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 10*u**2 + 9*u**2 + (3*u + 0*u + 0*u)*(-2*u + u + 3*u) - 2*u**2 + 0*u**2 - 5*u**2)*(-3*u**3 - u**3 + u**3).\nAnswer: -57*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 2:41 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(275)) + 0)**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3213319, -2\/5, 0.5.\nAnswer: -3213319, -2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169 + 167. Let j(y) = -2 - 2*y + 0*y + 0*y. Determine j(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**8\/20160 + j**7\/504 + j**6\/72 + 31*j**5\/30 - 5*j**2 + 2. Let s(v) be the third derivative of w(v). What is s(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 3*b - 6. Let i be s(-6). Suppose 2*k - i = -k - 3*g, k + 4*g + 5 = 0. Let f = k - 8. Is f != 6\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 7 - 5)*(-2 + 0 + 4)*(175*b - 1388*b - 386*b - 1597*b - 635*b) to y*b + a and give y.\nAnswer: -22986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/23 in -0.3, -4, -0.1, -4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 193344 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 780 - 546750*n**2 + 1092803*n**2 + n - 535634*n**2 - 3*n wrt n?\nAnswer: 20838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 27253*i**2 + 26*i - 26. Is f(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16628 less than 4378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26395*q + 15743 = -27606*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*a - 25*a - 455 = a + 289 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(14)\/sqrt(7) + 1*sqrt(2) + 4 - (3 + (2 + sqrt(98))**2*6).\nAnswer: -611 - 172*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 10. Let z be g(7). Let w(d) = 8*d**2 + 4*d + 1. Is w(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 4*m + 4 + (2 - 2*m - 2)*(5 + 0 - 3) + m + 0*m + m - 10 + 10 - 4*m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*d - 24, -2*u + 1 = 3*d + 4. Suppose -3 - 5 = -4*o. Let p be (-1)\/((-1)\/(-2)) - 3. Which is the nearest to 1\/3? (a) o (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**3 - 874*l**2\/3 + 63364*l\/3 + 42632\/3 = 0.\nAnswer: -2\/3, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 11*r**2 + 9*r + 10. Let x be p(10). Suppose x = -6*s + 1 + 29. Let y be (2*s)\/((-1)\/94). Round y to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5920517 + -0.592. What is h rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -340, -509, -676, -841, -1004, -1165?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*-2*sqrt(2736) + 5 + 6*(sqrt(2736) - (sqrt(2736) - (sqrt(2736) + sqrt(2736) + sqrt(2736)*1))*3)**2).\nAnswer: -2413167 - 432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**3\/3 - 3*d**2 + 10*d + 1. Let w be c(-7). Suppose m = w*l + 5*m - 64, 0 = -4*m - 20. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30211324 to the power of 1\/2, to the nearest integer?\nAnswer: 5496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence momo when four letters picked without replacement from cccfmofkamcoc.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-712)\/(-31) + (-5219)\/(-161789)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {b: 1, s: 7, i: 4, w: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 0*w + 1885. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/16*-2 - 186\/(-3). Let j be 605\/9 - (-2)\/(-9). Solve -2*z - j = -t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 22*c**2 - 11*c - 12. Let r be p(18). Let z(i) = -31*i**3. Let g be z(-1). Suppose r - g = 5*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*r**3 + 8*r**3 + 11*r**3 + (0*r**2 + 2*r**2 + r**2)*(-3*r + 2*r + 0*r) + 3*r**3 - 4*r**3 - r**3 - r + r + r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -7*k + 6*k. Let g = -33 - k. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnniniwplpbl. Give prob of picking 1 b and 2 i.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 77 = -5*u, 1547*u + 7 + 0 + 3 = -14*l + 1545*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2253960 less than or equal to -2253988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - 4*f + 3*f)*(5*f - 3*f - f)*(-33 - 68*f + 37 - 7) as z + i*f**2 + r*f**3 + j*f and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 229218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + l - 6 = 0, -4*v + l = -l - 12. Let w = -1 + v. Find the second derivative of n + n - 4*n - w*n**3 wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 + 106572*z\/7 + 213152\/7.\nAnswer: -2*(z - 53288)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -k. Let p be k - -1 - 981\/(-9). Calculate the highest common factor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l - 5*i + 20 = -20*l, -l + 5*i - 20 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462 and 594?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -45*k**2 - 79*k. Let h(a) = -88*a**2 - 157*a. Let y(v) = 5*c(v) - 3*h(v). What is the second derivative of y(j) wrt j?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 51 (c) 2\/17 (d) -1\/12 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 - 252*g + 3. Let r(k) = k**2. Calculate a(r(m)).\nAnswer: 3*m**4 - 252*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n + 716 = 0. Let s = 1446 - 722. Let q = n + s. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*y + 20 = -4*y, 5*y = 2*v + 15. Suppose n = -3*f - 5, -9*f + 4*n = -v*f - 20. Let z(b) = -b**3 - 2*b + 9. Give z(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71 and 355?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/24852 and -21\/182248.\nAnswer: 546744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1090 - 152 - 938 - 45*f.\nAnswer: -45*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k + 2. Let q = 11 + -15. Let g = 4 + 0. What is the lowest common multiple of g and r(q)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*h - 3*x, -13*x = -10*x - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*r + 126 = -63*r. Let f = 7 - 5. Solve f*k + 2*k = -12, r*k + 7 = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01149193 to six dps.\nAnswer: -0.011492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*x - 0*s - 12, 13 = x - 5*s. Let q(v) = -2*v - 2. Let f(i) = -13*i - 13. Let n(k) = 3*f(k) - 21*q(k). Let l(u) = u + 1. What is x*n(h) + 7*l(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*r**4 - 6*r**2 + 537*r**4 - 2 - 2*r**3 + 0*r**2 - 181*r**4 - 178*r**4 - 17*r to h*r**4 + d*r + n*r**2 + x*r**3 + i and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9287505079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**4 - v**2 - 5*v - 1. Let s(m) = -313*m**4 - 6*m**2 - 589*m - 9. Let z(y) = 6*r(y) - s(y). What is the second derivative of z(x) wrt x?\nAnswer: 3684*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 1. Let z(a) = 2*a + 4. Let n be (-341)\/(-121) + 4\/22 - 2. Let c(v) = n*z(v) - 4*s(v). Let u(w) = 3*w. Calculate c(u(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 21562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 2*v**2 + 6*v + 14. Let d be o(-2). Let q(i) = 68*i**3 + 2*i**2 + i. What is the tens digit of q(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 12528.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*q**2 + 349*q**2 + 1562 - 175*q**2 - 241872.\nAnswer: -2*q**2 - 240310","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**6\/120 - 3*b**5\/40 + 4*b**3 + 9. Let d(a) be the third derivative of r(a). What is the second derivative of d(p) wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16349055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11)\/d*d*d*d\/d**13)\/(d\/d**(-1\/14)*d\/(d*d**(-7))) assuming d is positive.\nAnswer: d**(-2965\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4604 + 4610. What is the remainder when 89 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 22 = -62. Suppose -5*o = -2*o + d. Let b = o + 19. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 4*f**2 + 5*f - 4. Let g be s(3). Suppose 2*b - 2*o = 28 + g, -b - 4*o - 10 = 0. Calculate the highest common divisor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317 = -8*o + 341 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3780 by -45.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - m**2 - 3*m**2 - 4*m**2.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, p: 9}. Give prob of sequence pk.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**3 + 51*p**2 - 196*p - 2800. What is v(-12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o + o - 2*o. Let c(l) = l + 1. Let f(w) = 8*w + 6. Let g(u) = -6*c(u) + f(u). Determine i(g(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 940.257755 - 0.227755. What is x rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 11. Calculate the common denominator of (-38)\/40 + z\/8 and -29\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1453, -5104, -10951, -18994, -29233, -41668?\nAnswer: -56299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + -5163470?\nAnswer: -5163506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -7444 at most -7445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.32 in -0.3, -4, 0.055, -0.02, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p. Let b(i) = -42978*i - 780. Let h(w) = -494*w - 9. Let g(l) = 3*b(l) - 260*h(l). What is n(g(k))?\nAnswer: -4940*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 12) in base 16?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 334420 + -334419.94000016. Let n = -0.06 + d. Round n to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-7))\/((-6)\/21). Let d be 7 - (u + (2 - 0)). Suppose -35 = d*w - 158. What are the prime factors of w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 - 31*t\/4 + 33\/2.\nAnswer: -(t - 2)*(t + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 8. Suppose 0 = 4*o + k + 2, -26 = 2*g - 4*o. Let u be (g\/12)\/((-2)\/8). Sort -1, 2\/9, u.\nAnswer: -1, 2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*1)\/sqrt(2))\/(sqrt(24)\/sqrt(2)*1).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) -1\/44 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 16*o + 35. Calculate n(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + i + 621 = 0, -2*i + 836 = 4*g - 6*i. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -1524, 0.1, -2?\nAnswer: -1524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 244, 228, 198, 148, 72?\n\"Answer: -p**3 - p**2 - 6*p + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126699 is divided by 434?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:45 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b**3 - 4954*b + 4954*b - 3*b**6 - 50*b**2 wrt b?\nAnswer: -360*b**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2018 = 4*x + 29795, 3*j + x = 27762. List the prime factors of j.\nAnswer: 3, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 8, -10, -5, -1 in descending order.\nAnswer: 8, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(108)*-1 + ((sqrt(3) + 1 - sqrt(3))*-4 - sqrt(3)))*1 + -2 + -3)**2 + 1.\nAnswer: 126*sqrt(3) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 3161 - 17404 = 10125. What is the greatest common factor of 620 and u?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8973*t + 8597*t = -12032 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 0 + 1\/2*l**2 - 6*l + 0*l**4 + 1\/20*l**5 + 0*l**3. Differentiate g(y) wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6*12\/9)\/(-2). Let x be (-5)\/2 - (-4 - -2). What is the nearest to s in -1, 1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 54, 98, 132, 156?\n\"Answer: -5*i**2 + 59*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10183 - 10421 = -34*c. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -2*s**7\/105 + s**4\/12 - 2*s**2. What is the second derivative of l(t) wrt t?\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*t. Suppose -5*p + 3*p - 2 = t. Let c be 1 + (5 - 0) + p. Solve -2*n - 8 = -5*j - 43, 2*n - c = -j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-18*f - 13 + 172 - 15 - 46 - 42).\nAnswer: -36*f + 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 5*o - 5463. List the prime factors of o.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 370*h - 44. Is 116 a factor of m(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1880*q**2 - 355*q**2 - 1529*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1529 = 24*r + 521. Let z(u) = -7*u**3 - 4*u**2 + 11*u - 6. Let v be z(-5). What is the greatest common factor of r and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 36*j - 178. Let p be z(5). Sort -0.2, 270, p.\nAnswer: -0.2, p, 270","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*o = 237*o - 4. Which is the second biggest value? (a) o (b) 6\/5 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o**2 - 99*o + 10. Give h(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -13*x**2 + 1. Let n = -9 - -8. Let w be s(n). Let y(c) = c**2 + 10*c - 9. Is y(w) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23748056 to the power of 1\/2, to the nearest integer?\nAnswer: 4873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {a: 1, f: 1, p: 2, x: 2, g: 1, l: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -2*c - 3*c + 3*y, 0 = -3*c - 3*y + 27. Suppose -s + 5*w = c, 4*s - 10 = -0*s - 2*w. Is 1\/23 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, h: 1, u: 1, s: 1, v: 2}. Give prob of picking 2 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 38364571 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*a**3*x + 86*a**3 + 70*x wrt x.\nAnswer: 5*a**3 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y = 86*y - 325. Solve -y*b = -53 + 28 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/13)*c*c*(c\/((c*c**6)\/c))\/c*(c\/(c*c**(-3\/7)))\/(c\/c**(5\/3)) assuming c is positive.\nAnswer: c**(-835\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1700) + -1 + sqrt(1700) - (0 + sqrt(1700))*2 - (2 + (sqrt(1700) - (sqrt(1700) + -2*sqrt(1700)))*-6))*-5)**2.\nAnswer: -19500*sqrt(17) + 7182725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + (sqrt(475) - (1*sqrt(475) - sqrt(475))) + 0 - ((sqrt(2299)*-6 - sqrt(2299)) + 3)**2.\nAnswer: -112660 + 472*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/8)\/((-10)\/(-6)). Suppose -2*o = -0*o - 4. Is y smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*-1*sqrt(11).\nAnswer: -5 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 13095\nAnswer: 1047.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131350934 to the power of 1\/2, to the nearest integer?\nAnswer: 46167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a. Let v(g) = -5*g**2 - 6*g. Suppose z + 21 = f - 3*z, 3*z = -3*f + 33. Let j(m) = 11*m**2 + 13*m. Let n(u) = f*v(u) + 6*j(u). Calculate c(n(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbobbbbbpbbpp. Give prob of picking 2 b and 1 o.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**2 + 2555920*m + 34864533?\nAnswer: -4*m + 2555920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 + 8*s + 11. Let i(b) = -3*b**2 - 10*b - 9. Give 7*i(d) + 6*w(d).\nAnswer: 3*d**2 - 22*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**5\/120 + 3*i**4\/8 - 4*i**3\/3 - 6. Let h(k) be the third derivative of v(k). Let c = 513 + -517. Determine h(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6747 in 0.001, 1, 4?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2584, -1, 0, 6, -7, -67 in ascending order.\nAnswer: -2584, -67, -7, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8052 is divided by 7986.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 1. Let f(v) be the third derivative of v**4\/6 - 5*v**3\/6 + 25*v**2. Give f(h) + 6*p(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 109*o**6\/30 + o**4\/12 + 76*o**3\/3 - 322*o. What is the second derivative of l(q) wrt q?\nAnswer: 1308*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8*i**2 + 37*i + 62. Let h(v) = -5*v**2 + 19*v + 31. Let u(q) = 5*h(q) - 3*m(q). What is the remainder when u(-7) is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l + 7283 = 76*l - 6347. Solve 0 = -226*k + l*k - 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k. Let w(o) = -190*o + 2110. What is the smallest common multiple of x(4) and w(11)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25062 = 826*p + 37 - 14391 + 1420 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1651 greater than or equal to -1651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2620*z - 191177 - 68203 = 0 for z.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/28171, 5, -0.4 in descending order.\nAnswer: 5, 4\/28171, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 39.8. Let r = k + -2.7. Put r, 3, 0.14 in descending order.\nAnswer: 3, r, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thdh when four letters picked without replacement from vdtchdvtcctvtadtvt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*b = 249*b - 6220. Calculate the greatest common divisor of 17180 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + k - 15 = -3*k, 4*k = 5*b + 25 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 555850175404.006 - 0.1?\nAnswer: 555850175403.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, s: 2, l: 4, h: 5, o: 1, d: 2}. What is prob of sequence lqld?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -785 - -794. Solve -m*u - 16 - 20 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 170*p**2 - 159*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-6))\/((-2)\/(-18)). Let k be -2 - (-6 - (l - 2)). Suppose -k*f = -5*m - 4*f + 12, -4*f = 8. Solve -m*c - 13 = -3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 5. Suppose 5*g + 16 = f + 4*g, -2*g = 5*f - 115. Let m be 750\/21 + j\/f. Solve 11 - m = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 125496?\nAnswer: -1\/13944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.018 + 0.018. Let p = t - -20. Let q = 1200.8 + -1201. Sort q, -9, p, -2 in ascending order.\nAnswer: -9, p, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 9. What is the units digit of (-39)\/c - 7\/(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/(g\/g**2))**(1\/39))**(6\/7))**(1\/17))**39 assuming g is positive.\nAnswer: g**(18\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 212590, 425211, 637856, 850525?\n\"Answer: 12*p**2 + 212585*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15384 or 15392?\nAnswer: 15384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 - 74*k + 5. Let r(z) = -3*z**2 - 72*z + 4. Determine 5*q(b) - 6*r(b).\nAnswer: -2*b**2 + 62*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = a - 11, -20 - 7 = -v - 3*a. Let q = -27 - -29. Factor 2\/15*z**v + 16\/5*z + 24\/5 - 22\/15*z**q.\nAnswer: 2*(z - 6)**2*(z + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6756.88862 + 6656.88861939. Let u = j - -100. Round u to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4557407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 32 - 31 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 divided by 812?\nAnswer: 110\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -77, -266, -579, -1016?\n\"Answer: -62*l**2 - 3*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19104.1 and -0.11.\nAnswer: -19104.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 99 (base 13) to base 16\nAnswer: 7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**4\/12 + 34*d**2. Let q(h) = -3 + 3*h + 3 + 0*h. Determine q(z(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59679.9 - 0.3.\nAnswer: -59680.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -304\/2055 - -2\/137. Which is the second biggest value? (a) 49 (b) -0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 + 5. Let q(u) = u - 10. Let h be q(19). Let v(c) = 6*c**2 - h*c**2 + 12*c**2 + 9. Let i = -2 + 9. Calculate i*a(k) - 4*v(k).\nAnswer: -k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506342878.\nAnswer: 2, 253171439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 3*n + 0*n + 5.\nAnswer: 7*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 4*u - 2. Calculate the remainder when 35 is divided by v(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.7 or 5.3?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -324 divided by 54?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 173. What are the prime factors of t?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 66\/5 + (-2)\/5. Let k = -5374\/5 + 1088. Let w = z - k. Which is the third smallest value? (a) w (b) 2\/5 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 27*w + 49. Let h(z) = -13*z - 25. Suppose -5*n - n + 12 = 0. Let l(x) = n*d(x) + 5*h(x). Is 9 a factor of l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-11) - 7\/(-28)*0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*a - 222*a = 27 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cco when three letters picked without replacement from {u: 8, y: 1, c: 2, o: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (12 - (4 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 6*q**2 + 5*q - 28. Let p(m) = 2*m**2 - 2*m - 1. Let s(j) = -n(j) - 3*p(j). Calculate s(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50320 divided by -148\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481796.\nAnswer: 2, 7, 17207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 70?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 165511 + -113245. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -10*m**3 + m**2 + 6*m - 6. Calculate z(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/7 (b) -0.439 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 60314*v**2 - 93. Let j(i) = 3*i. Calculate j(g(u)).\nAnswer: 180942*u**2 - 279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56 - 19 + 5 - 16 - 21 + 363*f to the form i + j*f and give j.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 928 - 653. Let d = g + -274.9. Sort d, 5, 8 in descending order.\nAnswer: 8, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 169, 123, 95, 85?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 84, 94, 110, 138, 184, 254, 354, 490?\n\"Answer: f**3 - 3*f**2 + 12*f + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2632 plus -3143385?\nAnswer: -3140753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 6 (c) -3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 8 = 0, -y + 6 = -5*d + y. Let n be (-19 - -7)\/(-2 + 0). Let f be n\/(-195)*(-7 + 2). What is the closest to d in f, 1\/4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(1\/35)*(j**(-3)*j*j)\/j**0 assuming j is positive.\nAnswer: j**(-34\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043 + 159945041.699?\nAnswer: 159945041.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 37*a + 19. Let d(t) = 74*t + 39. Let g(y) = 6*d(y) - 13*n(y). List the prime factors of g(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = 9 - 30 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + 6*sqrt(110)*4)\/sqrt(10).\nAnswer: 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.743038 - -0.431338. Let a = 35.4 - 53.7. Let w = z - a. What is w rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/470844 and 151\/16236.\nAnswer: 470844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -726.74 and -1.0859187.\nAnswer: -727.8259187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-171)\/36)\/(-19))\/(10\/(-8)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 46*g**2 - 612*g - 553. What is f(57)?\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -1 - 2*i**3 - 2*i + i + 0. Let z be w(-1). Suppose -8 = z*n, 5*t + 2*n - 15 + 3 = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -573 - 0?\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 580006.98 microseconds in weeks?\nAnswer: 0.00000095900625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25a + -3?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1134037?\nAnswer: -1134034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228126 and 3300300?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.044 - 5.044. Put -4, m, 0.2, -14 in decreasing order.\nAnswer: 0.2, -4, m, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**3)**(-11\/8))**(9\/11))**(1\/25) assuming t is positive.\nAnswer: t**(-27\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-18) + 11\/2. Let a = 3507.02 - 3507. What is the second biggest value in b, -2\/13, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -613 * 0.1\nAnswer: -61.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 52?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9660 and 120057.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -65. Suppose o - 92 = -n. Does 22 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4\/13 + 1190*r**3\/13 - 34074*r**2\/13 - 1693166*r\/13 - 1657900\/13 = 0.\nAnswer: -25, -1, 59, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -2*j - 22, -22*j - 35 = -17*j + u for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -111*-21\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**3*s**2 + o**3*s - 10*o**3 - 3*o**2*s + 59*o*s**2 wrt s?\nAnswer: -4*o**3 + 118*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-12)*-4*-3. Suppose -t*j + 10 = j. Solve 3*r = j*u - 1, -5*r + 1 = -2*u - 0*r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89\/3 - 29. Let g = -11444.3 + 11566.251. Let d = g + -122. Is v at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5 (c) 64 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 7) to base 2\nAnswer: 101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 440.5 - 440. Let z be 10\/4*(-12)\/(-45). Let r = z + -1. Which is the closest to -1? (a) r (b) x (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*k**3 - 62*k**3 + 23*k**3 + (-2*k**2 + 2 - 2)*(5*k - 3*k + 0*k) + 5*k**3 + 10*k - 4*k**3 - 2*k**3 to the form u + d*k**3 + x*k + v*k**2 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 - (0 + -18 + 47 + -44 + 2)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/416 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t**2 - 7*t**2 + 15*t**2. Let k(s) = -s**3 - 9*s**2 + 9*s - 8. Let q be k(-10). Let f(c) = q*c**2 - 4*c**2 + 3*c**2. Determine l(f(y)).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-120)*10*(-196)\/(-224)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2832 by -1416.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -314645719 by 19.\nAnswer: -16560301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 7*q - 6. Let y(m) be the first derivative of m**3\/3 - 3*m**2 + 4*m + 1. Let k be y(4). Is l(k) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-15))\/((-1)\/12). Put -2\/3, u, 1 in increasing order.\nAnswer: -2\/3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2*(-46)\/18 - (-2 - -1) and (-1482)\/180 + 2\/(-3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*d - 146 - 58 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-7 - -10 - 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n + 1350 = 0. Suppose 0 = -2*c - 2*c - 4. Is -1 + (c - n\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppa. Give prob of sequence pp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 6*k + 5. Suppose 3*b + 0*b = -5*m, -4*b = -m. Suppose b = -4*x - 2*v - 10, 4 = -2*x + 2*v - 10. What is the smallest value in x, -3, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -43, -61, -77, -91, -103?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (19 + -18)\/((-1)\/(-51))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s + 36. Let b(g) = -2*g + 4. Let a(w) = -w + 3. Let t = -74 + 76. Let c be (-430)\/150 - t\/15. Let o(h) = c*b(h) + 4*a(h). Determine j(o(m)).\nAnswer: -4*m + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 4:41 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 58*z - 47. Let n(x) = -2*x - 1. Calculate -3*n(t) + v(t).\nAnswer: 2*t**2 - 52*t - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39167 - 38978. Put 4, -4, u, -6 in increasing order.\nAnswer: -6, -4, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/4*8\/(-10). Let a(r) = -r - m*r**2 + r. Let s(u) = -3*u**2 - 7. Let i(d) = -2*d**2 - 5. Let t(z) = -7*i(z) + 5*s(z). Determine t(a(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -18*u**2 - 1104*u - 9191. Determine x(-10).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 2*t**3\/3 - 106*t**2 - 432*t + 5107. Factor q(f).\nAnswer: 2*(f - 108)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92387*p**3 - 1450150.\nAnswer: -277161*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 472 - -5?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 97071700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17196*b = 17123*b - 2263 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-10\/9)*(r**0*r)**0 assuming r is positive.\nAnswer: r**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -9. Let a(c) = -c - 1. Let d be a(y). Suppose -18 = -4*n - 12*f + 13*f, 2*n - 2 = 4*f. Solve -2*w - n*k = -9, -d - 16 = 2*w - 4*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**4\/12 - 5*d**2. Let y(x) = 14*x**2. Determine n(y(g)).\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7630*s**2 - 15259*s**2 + 7632*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 339*b - 1. Let p be g(-1). Let z = 237 + p. Let w = 508 - z. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199333*l - 2*l**2 - 199333*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19325043.\nAnswer: 3, 911, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2483 - 4454 - 3504 + 3226 = 111*z for z.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4414*s - 1024058. What is q(232)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52725141.\nAnswer: 3, 7, 31, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**20*g**(4\/3)\/g*g)\/(g*g**(-5\/6)*g\/(g**31*g*g)))**(-44\/3) assuming g is positive.\nAnswer: g**(-7018\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3539 + 3527. What is the nearest to 0.3 in 2\/11, -1, k, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165580 divided by 340?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 522*b**2 - 506*b**2 + 1529*b**2 + 7 - 8*b - 511*b**2. Suppose 36 = -4*z - 0*z. Calculate d(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3. Let g(y) = -4*y - 13. Let v(a) = 6*g(a) + 26*o(a). Let u(p) = -7*p. Determine u(v(h)).\nAnswer: 168*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 676*i**2. Let s(c) = -365*c. Calculate w(s(t)).\nAnswer: 90060100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 26 = 4*w, 0 + 4 = 2*w + 10*a - 6*a + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8b20c + 1?\nAnswer: 8b20d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*y**4 - 37*y**3 + 89*y**2 + 6*y + 694438.\nAnswer: 732*y**2 - 222*y + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**6\/360 - j**5\/20 - 7*j**4\/12 - j. Let c(x) be the third derivative of r(x). What is c(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38527 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/60 - 3*z**5\/2 - 4*z**4 + 92*z**3\/3 - 2*z**2 - 159*z. Factor g(y).\nAnswer: 2*(y - 46)*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2457*o + 15765. Give v(6).\nAnswer: 1023","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/100 and 71\/500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 15 + 5. Solve 0 = r*t + 16, 5*t - 8 + 22 = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9142, -9261, -9380, -9499, -9618, -9737?\nAnswer: -9856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 0.2491?\nAnswer: 0.2509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 28. Let k be ((-21)\/q)\/((-3)\/(-2)). Let x be (k*-2)\/(16 - 12). Which is smaller: x or 3\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -16) + (6 - 1) + -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -465335, -465316, -465299, -465284, -465271, -465260, -465251?\nAnswer: -465244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*u - 16*u. Which is the closest to -5? (a) 2 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-181)\/((-8)\/(79 - -9)) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10*i + 39. Let c be l(-3). Suppose 0 = 5*k - c - 31. Solve q - 35 = k*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2184 and 8424.\nAnswer: 58968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 3*l + 0*l + (1 + 2 - 2)*(2*l - 5*l + 0*l) - 4*l + 4*l + l + (2*l - l - 3*l)*(-1 - 4 + 4) + 2*l - 4*l + l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 4*x - 9. Let w = 293 + -109. Let y = w - 189. Give g(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.110869402 and -0.9?\nAnswer: 1.010869402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + d - 13070 = -683, -3*d = 3*s + 12387. Let r = 6129 + s. What is r rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61268 - -61324. Suppose -3*y + 24 + 438 = 0. Calculate the greatest common factor of y and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64645 + -27275. List the prime factors of m.\nAnswer: 2, 5, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0321? (a) -0.03 (b) 1\/4 (c) -5 (d) -4 (e) 17 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 + 0)*(-1 - 1 + 3)*(-4*c - 3*c + 11 + 3) to the form m + n*c and give m.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020153 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-10 - -3) + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (372\/15)\/((-2)\/(-50)). Round d to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102020 (base 3) in base 11?\nAnswer: -1361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j + 3 = r, 0 = 5*r + 3*j - 15. Solve -x + i + r = -i, -x - 4*i = -9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 6. Let m be ((-14)\/4)\/(-1)*2. Determine l(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001020302 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140 times -0.027695?\nAnswer: -31.5723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 10, -7, 0, -48, 4 in decreasing order.\nAnswer: 52, 10, 4, 0, -7, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 15 = -2*m, -4*m = -r - 3*m + 3. Let u(w) = 2*w**2 - 16*w - 13. Let j be u(9). Let a = j - 17. Put r, -5, a in decreasing order.\nAnswer: r, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3488275.1 rounded to the nearest one hundred thousand?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 1. Let i be y(-2). Let q be 0 + ((-125)\/(-125) - -3*4\/6). Solve q*p + 3*w = 4 - 1, 9 = p + i*w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**5\/40 - 7*o**4\/16 + 2*o**3 - 38*o**2 - 24. Let s(x) be the second derivative of d(x). Determine y so that s(y) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 4*g**2 - 5*g - 6. Suppose 0 = c - 0*i - i + 3, -3 = -4*c + i. Suppose -5*o - c*k + 25 = 0, 0 = 4*o + k + 7 - 27. What is s(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**3\/3 - 5*z**2\/2 + z + 30. Let y(t) = -t. What is -s(g) + 4*y(g)?\nAnswer: -g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -171120929265.03 - -171120818629.02118961. Let b = x - -110588.00881. Let o = b - -48. What is o rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 6*g**2 + 10*g - 4. Let f be 1\/(-3) + 6\/18. Suppose f*l = -l + 7. Let h be v(l). Solve 4*k + h = 3*j, -10 = 5*k - 3*j + 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 19*w**2 + 19*w + 19. Suppose 0 = 4*v, 2*v = z + 5*v + 18. Let s be k(z). Suppose 10 = -p + 6*p. Solve s = -p*o - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 621 + -164096.038.\nAnswer: -163475.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -8, 5, -1, -0.01, -40?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2248 and 11250116.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 9\/2. Let v = 0.01 + 0.39. Let g = 2.4 - v. Is o bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/24 and -85\/1388.\nAnswer: 8328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 608873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 13*y**3\/3 + 6. Let q(u) = 2*u**2. What is j(q(p))?\nAnswer: 52*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*v + 146*v + 187*v - 518*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 12:51 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 43632 divided by 8\nAnswer: 5454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/9 + 26*k**2\/3 + 80*k + 1144\/9 = 0 for k.\nAnswer: -26, -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 6*d + 28. Let n = 72 + -84. List the prime factors of x(n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 17 = -20*m. Suppose 0*j = m*j - 5636. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-285)\/3458 + -1*(-1)\/(-14).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 298 + -296. Let 12*v**y + 90*v**3 - 45*v - 45*v**5 + 9*v**4 + v**4 - 32*v**2 + 10 = 0. What is v?\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 385521*r + 25843374.\nAnswer: -3*(r - 67)*(r + 128574)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Let y = 5 - u. Which is the closest to 1\/4? (a) y (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 10.9. Let w = y + 1.8. Which is the fourth smallest value? (a) -1\/3 (b) -2\/15 (c) w (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*k + 101. Suppose -a = -k + 3. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*c + 5*r, -5*r + 3 = 4*c - 3*c. Let x = c + 11. Suppose 0 = s - 4*f - 2 - x, 3*f = s - 8. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1008 divided by 168\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -503.441 rounded to the nearest 10?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-1 - -2)*-3. Let t(l) be the first derivative of -l**2 - 4*l + 2. Let b be t(z). What is the greatest common factor of 20 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = 14*v - 8. Let z be 6*(v - (-182)\/(-6)). Let a = -83 - z. Calculate the remainder when a is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*p**2*t**2 - p*t**2 + 34*t**2 - 2 wrt p.\nAnswer: 66*p*t**2 - t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2556*h = 2538*h - 360 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -1309*h**5\/20 + 723*h**2\/2 - 4*h + 163. What is the derivative of m(n) wrt n?\nAnswer: -3927*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 68*p + 78. Let m be w(-1). Is m at most 115\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 10. Let v be u(-6). Let n = v - 0. Suppose 5*c + j = 72, 0 = -5*c + n*j + 97 - 10. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -31.9 and 10256406.96?\nAnswer: 10256438.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*b + 22, 4*b - 3*g + g = 14. Solve -j + 0 = b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -120*u + 210. Let h(k) = 23*k - 40. Let r(m) = 21*h(m) + 4*n(m). Let i(p) = 1399*p**2. Determine r(i(t)).\nAnswer: 4197*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**4\/12 - 5*z**3\/3 - 21*z**2\/2 - 49*z\/3 - 13. Suppose s(w) = 0. What is w?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 417, 369, 303, 219?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 21. Let q = o + 61.3. Let v = q + -4.244. Round v to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 14. Let r be o(13). Let k be 78\/(-63) - r\/(-60). Which is the third smallest value? (a) 0.4 (b) k (c) -3\/17 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 10*a + 18. Suppose -a*p + 2 = -17*p. Suppose 27 = p*k + k. What is the smallest common multiple of 11 and k?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 11) in base 13?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001861697 to 5 decimal places.\nAnswer: 0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 c when four letters picked without replacement from cqqdcqhqhqqqdhccq.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(5\/15*15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283991722 to the power of 1\/3, to the nearest integer?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -54295 greater than -54295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 900, 917, 972, 1083, 1268, 1545?\nAnswer: 1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 4656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - p - 1. Let a(c) = -7*c + 7. Let q(x) = a(x) + 3*g(x). Let b be q(3). Let n = -13 + 6. Sort n, 4, b in decreasing order.\nAnswer: 4, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 6246*o**2 - 414059*o + 407814.\nAnswer: -(o - 6179)*(o - 66)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 30*q**2 + 7*q - 4. Let p be v(5). Suppose -4*r - 3*x + 5*x + 778 = 0, 4*r - 5*x = p. Calculate the remainder when r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 1. Let s(m) = -m + 10. Let t(j) = 3*o(j) + s(j). What is the tens digit of t(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n - v = 30*n - 11496, -4*n - 4*v + 22984 = 0. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 16*z + 13*z - 4 + 4 + 2*z + (4 - 2 - 3)*(2*z - 5*z + 2*z))*(5*z - 2*z**4 - 5*z) + z**5 + 0*z**5 + 0*z**5.\nAnswer: -57*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3 = 0, 4*i - 464 + 435 = 7*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qchcrvrmv. Give prob of picking 1 q and 2 r.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 11:25 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l. Let q(t) = t**2 + 2*t. Let j(p) = -24*p + 63. Let z(v) = -v**2 - v + 3. Let u(o) = -2*j(o) + 42*z(o). Let w(i) = -3*q(i) + u(i). Give a(w(k)).\nAnswer: -90*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*m = -127*m - 44. Suppose m*u + 1025 = 5*i, 4*i - 5*u = 74 + 737. Is i equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 141447190 and 10442410.\nAnswer: 1555919090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 624 and 2236.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 13*x**5\/30 - 7*x**4\/2 + 5*x**3\/3 - 4679*x**2. Calculate q(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124767 + 0.01.\nAnswer: 124767.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -470 + 1505. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9 + -1)\/(-2))\/1. Let r(j) = -16*j + 0*j**3 + 14*j - a*j**3. Let z(v) = -4*v**3 - 2*v. Suppose 6 = -2*u + 18. What is u*z(b) - 5*r(b)?\nAnswer: b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1 + 2 + 0 + 0 + (-2 + 5 + 0)*(-5 + 6 - 3))*((-3*m + 0 + 0)*(-3*m - 1 + 1) + 0*m**2 - 4*m**2 + 3*m**2) to c + b*m**2 + v*m and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 1606?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + t + 21 = 0, -7*t = 3*o - 6*t - 11. Which is greater: o or -1\/8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o + 81*o + 644 = -154*o + 40*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 492 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s - 3*s + 3*s**3 - 2*s**3 wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 9*b - 12. Let d be a(-8). Let y(l) = -3*l + 1. Determine y(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 872 and 12661384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7825978?\nAnswer: 2, 139, 28151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16813 or 16925?\nAnswer: 16925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u + 96. Which is greater: u or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + c - 9, 3*c = -2 + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1089531082813 + 1.88?\nAnswer: -1089531082811.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 q when three letters picked without replacement from siitqoi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/4793879 and 25?\nAnswer: 4793879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, y: 2, h: 2, d: 8}. Give prob of picking 1 y and 1 h.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 3362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3290, -5, 45, -7 in descending order.\nAnswer: 45, -5, -7, -3290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 4) to base 12\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 96678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5033)\/840 + (15 - 9). Let h(r) be the third derivative of 0*r**3 + 0 - 9*r**2 + 1\/150*r**5 + 1\/600*r**6 + m*r**4 + 0*r. Let h(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4044214 + -22?\nAnswer: 40441a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = t + 2, r + 4*t - 1394 = -702 - 700 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 7*m - 18. Let x be j(-9). Solve -3*c = -x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 281 - 271. Solve 4*n = 2*f + g, 0*n - 5*f - 7 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*n + 8 = 0, -4*n - 13 - 19 = -5*s. Let r(x) be the second derivative of 0 - 2\/3*x**3 + 16\/15*x**s - 5*x - 4\/5*x**2 - 9\/25*x**5. Factor r(w).\nAnswer: -4*(w - 1)**2*(9*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smmdswydsmmp. What is prob of sequence dyw?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4996.97 to the nearest 10.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a + 1 - 3*a - 3. Determine s(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -5*r + 687. Let l(a) = -a**2 - 4. Let f be l(0). Let n = 15 + f. What is the highest common divisor of r and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13011 + 15862. Is 26 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uy when two letters picked without replacement from llazalllulzlsyl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k = -15*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + (sqrt(153)*3 + -5 - 4*(1 + sqrt(153)))*-3))**2.\nAnswer: 522*sqrt(17) + 2218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wysyw. What is prob of sequence ys?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-737.\nAnswer: 221.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m + 163 - 980 - 717 - 596 - 5*m. Let n(j) = 2*j. Calculate n(u(d)).\nAnswer: -4*d - 4260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.13 (b) -160.4 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 329855237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -42434 (base 5) to base 16\nAnswer: -b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 82*m**2 + 245*m + 635. Calculate s(-79).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48580)\/(-1425))\/14 - 3048\/1270?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(3\/1)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 6:28 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 + 123*z**3 + 558*z**2 + 648*z.\nAnswer: 3*z*(z + 2)*(z + 3)*(z + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 9. Determine f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-12))\/(((-88)\/198)\/(84\/(-126)))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -8. Suppose g*d - 62 = -7. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.78895 and 516188.\nAnswer: 516186.21105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 101112212 (base 3) to base 6\nAnswer: 55335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6169250905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.9 - 1.1. Put 0.1, 2\/31, l in descending order.\nAnswer: 0.1, 2\/31, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-78)\/4 + 153\/(-18) + 10. Put m, -1, 5, -5 in increasing order.\nAnswer: m, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*m - 60*m. Solve m = 28*p - 8*p - 80 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-22) - (-124)\/(-44). Let s(n) = -2*n + 2. Determine s(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*x**2 + 23 + 143*x**4 - 120*x - 681*x**4 - 36*x**2 - 23 wrt x?\nAnswer: -12912*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10475 (base 8) to base 6\nAnswer: -32233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*sqrt(6)\/sqrt(3))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -3882 and -1783.\nAnswer: -5665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + -0.56. Let w = -2.2 - -0.2. Let s = w + 3. Which is the closest to -2\/3? (a) t (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-227676)\/(-10) - 364\/(-260) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(136)\/sqrt(288))**2.\nAnswer: 425\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27609.\nAnswer: 3, 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4*v + v + 90, -b - 2*v = -15. Solve -76 = -b*l + 8*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u**2 + 88*u + 1268. What is the tens digit of w(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 426 + -431. Put d, -0.2, -34 in descending order.\nAnswer: -0.2, d, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r - 1 - 3*r + 2*r + (-3 + 1 + 0)*(3*r - 4*r - r) + 5 - 5 - 2*r.\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2. Let r(b) = 10*b**2 - 19*b**2 + 31*b + 8*b**2. Determine q(r(a)).\nAnswer: -a**4 + 62*a**3 - 961*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.18, 0.11, -1, 0.58 in increasing order.\nAnswer: -1, -0.18, 0.11, 0.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 79949265*p*w**2 - 6945319*p wrt w?\nAnswer: 159898530*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*i + a + 140, 2*a = -5*i - 128. Let g be (-200)\/i + 4\/6. Suppose 6*u + 12 = g*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, q: 1, v: 1, i: 2}. What is prob of picking 1 q, 1 l, and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*z + 16, 3*z + 2*s = -s. Let u(g) = g**3 - 108*g**2 - 449*g + 137. Let t be u(112). Solve -5*w = t, -z*x = x + 4*w + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/6 + (-2)\/4. Suppose y*n - 379 = 161. Does 36 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109456 to the power of 1\/2, to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g. Let x(q) be the second derivative of 7*q**4\/12 + q**3\/6 + 206*q - 1. Give u(x(k)).\nAnswer: 14*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017942 to four decimal places.\nAnswer: 0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.559385 to three decimal places.\nAnswer: -0.559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v**2 - 40*v - 109. What is p(-3)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3272, 26044, 87860, 208244, 406720, 702812?\n\"Answer: 3254*a**3 - 2*a**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*r = -0*r, r - 3 = 0. Suppose 0 = 2*k - 5*h + 8, -5*k + 51 = h + 17. Suppose k*b - b = 0. Solve -i + p - g = b, -4*i + 2*p = p + 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 31*m**2 + m + 0*m**4 - 1\/30*m**5 + 1\/6*m**3 + 0. Let v(d) = -6*d**2 + d + 4. Give -7*r(t) + 2*v(t).\nAnswer: 2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07 + 2.07. Let h = b + -2. Let d = -0.01 + 2.01. Are d and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 3. Let q be c(-7). Let m be ((-2)\/q)\/(6\/168). Solve 3*j = 5*r - m, 5*j - 3 = 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/41512184 and -137\/50330?\nAnswer: 207560920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -0.2 (c) 136029\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = l - 5, 0 - 3 = -l + u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 93 = -3*y, 5*p = 5*y - 104 + 9. Suppose f + 36 - 13 = 0. Let x = p - f. What is the highest common divisor of x and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - (4 + -3))\/(4 + -1). Let v(c) = 43*c + 1. Let g(x) = 42*x + 1. Determine d*v(y) + 2*g(y).\nAnswer: -45*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 3*q + 5. Let u be l(4). Let b = -10 + 14. Let h be (b\/3)\/(3\/9). Put -1, u, h in increasing order.\nAnswer: -1, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2945055340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44830 or -255?\nAnswer: -44830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 12*d**2 - 3*d - 1. Let q be h(3). Let k = q - 95. Let v(a) = 5*a + 5*a - 7*a + k*a. Let m(f) = -3*f**2. Determine v(m(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.167 in -0.2, 1.125, -13\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**5 - 365*h**4 - 2305*h**3 - 5075*h**2 - 4720*h - 1580 = 0. What is h?\nAnswer: -2, -1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 310 and 1701510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 25*u**2\/2 + 130*u + 2338. Give i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 - -108. Calculate the highest common divisor of c and 290.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(25\/(-525)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 4*v + 2. Let k be l(-5). Let i be 3*(1 + 3 + k). Find w, given that 2*w**i + 0 - 2\/3*w**4 + 0*w - 4\/3*w**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -14*v**2 - 3*v. Suppose 19 = 4*c - 1. Let j(r) = -29*r**2 - 5*r. Let k(l) = c*q(l) - 3*j(l). Let y(b) = 5*b. What is y(k(s))?\nAnswer: 85*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -0.7, -3\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(2\/3))\/q)**1\/(((q\/(q**(-4)*q))\/q)\/q*q*q\/(q*q**(-2))))\/(((q*(q*q*((q\/q**(-7))\/q)\/q)\/q)\/q**(-4))\/(q**7*q*q\/(q*q**0\/q))) assuming q is positive.\nAnswer: q**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 3535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5641 - 50*w**3 - 5641 + (1 - 1 - w)*(4 - 4 - w**2))*(-w + 0*w - w).\nAnswer: 98*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78472 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/5 and -54\/249193?\nAnswer: 1245965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((918\/459)\/(2*-3))\/((-3)\/108*-10)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*y = 385 - 25 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333490?\nAnswer: 2, 5, 33349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 + 22*g - 16. Let m be l(10). Solve 15 = -3*n + m*v - v, n = -2*v + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jss when three letters picked without replacement from {j: 7, s: 3}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 293 + -219. Let b = d - 70. Solve -1 = 2*q - s, b*s = -5*q + 2*s + 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from eereeeeserekbseer.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 688 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 4 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23622, -47244, -70866?\nAnswer: -94488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 - -152. What is the remainder when w is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19215*c + 19200*c - 45 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/39 + 1\/(-1). Let z = -17\/39 + a. What is the common denominator of -25\/8 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-3 - -25)) + 16 + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 25*r - 97. Let o be w(6). What is the second derivative of t**2 - 2*t + 29553*t**3 - 29553*t**3 - 88*t**5 + o wrt t?\nAnswer: -1760*t**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/5 - (2 + 0). Let g = 2.73 - -0.27. Which is the third biggest value? (a) -0.4 (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 193*m + 187. Let u(z) = 390*z + 375. Let y(n) = 6*u(n) - 13*x(n). What is the derivative of y(v) wrt v?\nAnswer: -169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103005034 (base 7) in base 3?\nAnswer: -102111220100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 1:46 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53973485 to the power of 1\/2, to the nearest integer?\nAnswer: 7347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 7654773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -109. Let v = -34.3 + g. What is v rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14048766*y - 7029256*y - 7019510*y + 2*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-6)\/(-20)*(-217700)\/10920?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506731?\nAnswer: 506731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111010000111001 + -110000101100?\nAnswer: -10000000001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.561767 rounded to 1 dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17360 and 137760?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 36*g**2 - 325*g + 54. Let x(k) = -27*k - 4. Calculate the remainder when x(-3) is divided by u(17).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i + 58. Let m be r(-23). Solve -12 = -m*u + 6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 9998?\nAnswer: 29994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 u, and 1 e when four letters picked without replacement from {g: 3, u: 1, z: 1, e: 4, a: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*n - 3, -3*l + 2*n = -n - 3. What is the third derivative of -2*v**2 - v**2 + 5*v**4 - 6*v**4 + 3*v**l wrt v?\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*-6*(5 + (sqrt(99)*-5)**2 + 5 + sqrt(132)\/(sqrt(48)\/sqrt(4))).\nAnswer: -447300 - 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/12, 4\/7, -5, -2\/11 in decreasing order.\nAnswer: 4\/7, 1\/12, -0.1, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 6*n - 6. Let m be b(-4). Suppose -2*t + m = -4*t. Is 11 a factor of (1\/2)\/(t\/(-22))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -4, 3, -33, 0.4, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - f**2 + f. Let u(j) = -j**2 - 3*j. Let s be u(-2). Suppose -b = -5*b, 3*z = s*b. Calculate d(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3*p + 162, 5*a + p + 282 = 10*a. Let z be (-16)\/a - (-13320990)\/(-35). What is z rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(35)\/sqrt(5))**2 - ((sqrt(56) - sqrt(2016))*-5)\/sqrt(8).\nAnswer: -25*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 44 = -67. Let u = -35 - g. Suppose m = 4*x + 5, u*x + 4*m = -8 + 28. Solve -5*w + x*w = 3*f + 32, -3*f - 8 = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 7. Let z = -85 - y. Let x = z + 143. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.08707 and -0.651609.\nAnswer: -1.738679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 224027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 131*d - 132*d. Which is the closest to d? (a) -0.3 (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1193029 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 269712476 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: b\"What is the wth term of 43, 48, 55, 64?\n\"Answer: w**2 + 2*w + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94015685*n**2*q**3 - 2*n**2*q + 1058*n**2 + n*q**2 + n*q + 4*q**2 - 16*q wrt q.\nAnswer: 564094110*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -22. Let d(a) = 4*a + 1. Calculate the remainder when (-1 + 7\/(-2))*w is divided by d(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.126 * -140594.\nAnswer: 17714.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40867, -80322, -119777, -159232?\n\"Answer: -39455*o - 1412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjcjcjjjj. What is prob of picking 3 j?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*v - 31*v**3 + 2*v**4 - 6*v**3 + 70*v**3 + 1 - 34*v**3 in the form k*v**4 + a + m*v**2 + x*v**3 + s*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*b**2 - 1037*b**2 + 2*b + 114*b**2 + 30*b**2 - 468*b**2.\nAnswer: -1464*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -54, -34, 4, 66?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1100131 is divided by 439.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000402 to six dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -790, -3175, -7156, -12733, -19906, -28675, -39040?\n\"Answer: -798*w**2 + 9*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4\/7 - 138546*g**3\/7 - 207828*g**2\/7.\nAnswer: 2*g**2*(g - 34638)*(2*g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*s - 230*s - 3*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**10*j*j*j\/(j\/j**(-13))*j*(j*j*j**(-2))**(19\/4) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.1, -0.28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 9*b**2 + b - 11. Let h(u) = -u**2 + u + 1. Let f(i) = -h(i) - o(i). Let y(z) = -11*z + 8. Let p be y(0). Give f(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p = 3*p - 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179 by 1603.\nAnswer: -179\/1603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.5 + 1.5. Let p = n - 8.72. Round p to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-161*u - 30*u - 335*u + 6*u)*(-u**2 - u**2 + u**2) to t*u + r*u**2 + g + x*u**3 and give x.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -15432 at most as big as -15524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14953a + -5?\nAnswer: -149541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19816588661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (19 - (2 - 3))*10000. Suppose 0 = -0*r - 2*r - x. What is r rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*v - 22*v - 1572 = 234 + 1016 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**0*(i\/(i*i**(1\/3)*i*i))\/i)**(4\/23))**(-29\/4) assuming i is positive.\nAnswer: i**(203\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460*o**3 - 521*o**3 - 8946*o**2 + 343*o**3 + 8946*o**2.\nAnswer: -638*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 63123?\nAnswer: 6312.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -4, -58, -176, -382, -700?\nAnswer: -1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p*p**36*p)*p*p**(-33))\/(p**(-6\/7)*(p**(-1\/3)\/p)\/p) assuming p is positive.\nAnswer: p**(-1424\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9337.98 - -9338. Sort 0, 1, -0.065, c in increasing order.\nAnswer: -0.065, 0, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110249 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 42*w + 4694. Calculate v(-39).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -80, -2.\nAnswer: -80, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/513*6*(-7470)\/1660\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 0*q**2 + 117*q + 4*q**2 - 19 + 7*q**3 - 116*q - 12 + 29. Let o = 1 + -3. Determine h(o).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8953*-0.0322.\nAnswer: 288.2866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/22)\/(9\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 3) + 0 + 5. Suppose 2*l + 3*l = 3*g + 345, 0 = g - t. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*o - 4*l, l - 2*l - 2 = 0. Suppose -o*f = -13*f - 13805. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/m**4)\/m)\/m**(2\/7)*(m\/((m\/m**4)\/m))**(-5\/14))**(10\/7) assuming m is positive.\nAnswer: m**(-355\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9}. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16319971289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from {l: 4, t: 5, q: 4, v: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1151 is divided by 144?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**3 - 4*t**2 + 4*t - 6. Let m(b) = -13*b**3 - 14*b**2 + 13*b - 18. What is -7*c(a) + 2*m(a)?\nAnswer: 2*a**3 - 2*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) -8 (c) 152760\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123242232 by -30810558.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 279.6330177\nAnswer: -280.0330177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 16 + 18 - 2*q - 60 + 12 + 12. Let z(o) = -o**2 + o + 1. Determine -k(r) - 2*z(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 63\/24*1\/2*(-4)\/(-3). Factor -1\/2 + j**3 - f*j + 5\/4*j**2.\nAnswer: (j - 1)*(j + 2)*(4*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*r - 70*r - 368. Let v = r + -44. Suppose 36*s - 33*s = v. Solve n = 2*m + 2, m - 5 = -2*n - s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -25.8. Let n = x + -4. Is n bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14133339.3 rounded to the nearest one thousand?\nAnswer: 14133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3608*k - 6842*k + 3604*k.\nAnswer: 370*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.8 and 10992?\nAnswer: 10993.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 32*a**2 + 61*a + 58. Let z be v(30). Calculate the highest common divisor of 24 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 + -89. Solve -3*h + 4*v + 20 = 6*v, 2*v + q = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 37, -0.2.\nAnswer: -15, -3, -0.2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 9006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 3\/2 (b) 0.4 (c) 0.2 (d) -0.1 (e) 662\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/4*28\/3. Let k be ((-24)\/(-28))\/(3\/j). Calculate the highest common factor of 84 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 34\/(-6)) + -4 + 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 k when four letters picked without replacement from {w: 7, k: 2, i: 4}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 5 + 8)*(-m - 3*m + 6*m)*(4*m - 8*m + 0*m).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5430800577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4524 + 100 - (9 - 0).\nAnswer: 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105094806 and 2370.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -3257?\nAnswer: 8\/3257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12861463.\nAnswer: 12861463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 78737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*r - 286 + 580 - 292 in the form f*r + q and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -1649)\/3 - 0. Let m = s + 1121\/2. Let h be ((-2)\/3)\/((-4)\/78). Is m < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.8 - 23. Let g = b - 2.8. What is the nearest to g in 0.06, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 17. Let r be (2 + -1)*h\/(-3). Let o(z) be the second derivative of z**5\/20 - 5*z**4\/12 - 3*z**3\/2 + 9*z**2\/2 + 73*z. What is o(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.983 times -17\nAnswer: -305.711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mteazatmmuetata. What is prob of picking 1 a and 1 m?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0.87. Let c = 2.37 + r. Let o = -0.5 + c. What is the third smallest value in 4, o, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, q: 1, d: 5, l: 6, v: 1, b: 2}. What is prob of sequence lbbq?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033853 + 0.06?\nAnswer: 1033853.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356483257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 897002 and 4338?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 4. Let o be v(4). Suppose -4*b = 2*s - 10, o = -0*s - s - 3*b + 6. Let f(n) = -4*n - 2. Let u(a) = a. Calculate s*u(j) + f(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 2585824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 125*s - 44. Suppose 0 = -4*d + 50 - 38. Suppose 5*m = p + 3*p - 88, d*m = -12. Is v(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 197 + -2169\/11. Let j = 48 + -48.3. Let x = 6 - 10. Sort u, j, x.\nAnswer: x, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7442 and -6?\nAnswer: 7448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(130\/(-1833))*-2*(-3)\/(-9)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -24 + (-2790 - -2819)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1712 and 22470?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-1 - -16) + (-1 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i = -1948 + 2278. What is the remainder when 692 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 318006.63 and 304077.\nAnswer: 622083.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/225192 and 25\/8782488?\nAnswer: 8782488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (548\/48 + -12)*(-4)\/(-14). Which is the nearest to -3? (a) -45 (b) g (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.2 + 0.8. Put v, -1\/5, 2 in increasing order.\nAnswer: -1\/5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 693*m**5\/4 + 1409*m**4\/4 - 32*m + 107. What is the third derivative of w(v) wrt v?\nAnswer: 20790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -146*g**2 + g - 2691 wrt g?\nAnswer: -292*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -961*l = -658*l - 909 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 123*r*u*x - 317*r*u - 81*r*x - 1032*r - 3*u*x + 28*u - 18*x + 4 wrt u.\nAnswer: 123*r*x - 317*r - 3*x + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61\/3 + 20. Let g = -157\/7 - -565\/28. Is j <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25859006 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddddddddadddda. What is prob of sequence addd?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -11100011?\nAnswer: 11100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4 + 534685*c**3 + 71469071466*c**2 - 786214859616*c + 1286549155872 = 0.\nAnswer: -267348, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilolllpojpblp. Give prob of sequence jp.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/8)\/o)\/o)\/(o*(o\/(o\/(o**3*o*o)))\/o))**(-31)\/((o**0)**31\/(o**0*o**(3\/5)\/o)) assuming o is positive.\nAnswer: o**(8509\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -0*f - 6624. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/171171 and -97\/182?\nAnswer: 342342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.634246865 to two dps.\nAnswer: -1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -48, -59, -70, -81, -92, -103?\n\"Answer: -11*c - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -601225, -1202446, -1803667, -2404888, -3006109?\n\"Answer: -601221*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0*q - 3*q, -3*q - 9 = 0. Let g be ((-6)\/j)\/(2\/9). Let a = 0.1 + 0.9. Put a, g, 0.3 in descending order.\nAnswer: g, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 175 = -47. Calculate the highest common divisor of j and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2) - 1) + (-48)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 - 26*c + 72. Does 54 divide n(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -261 and -373?\nAnswer: 97353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1115 + 1207. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40750, 40764, 40808, 40900, 41058, 41300?\n\"Answer: 3*k**3 - 3*k**2 + 2*k + 40748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2. Let c(j) be the second derivative of 2*j**3\/3 - 4*j. Determine r(c(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 8*n**2 - 11*n + 6. Let u = 7 + -5. Suppose -u*y + 4 = -2*v, 2*y + 4*v + v = 39. What is k(y)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 566832*b**2*m*o**2 + 62*b**2*m*o + 525*b**2*o**2 + 3425*b*o**2 + 5*o**2 wrt m.\nAnswer: 566832*b**2*o**2 + 62*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -710 + 712. Suppose 5*t = 7*t + 6. Put t, x, 93 in ascending order.\nAnswer: t, x, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 317.062 - 365.1. Let j = 48 + q. What is j rounded to three decimal places?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h**4 - 5 - 4*h**4 + 34 + 3*h**3 + 4*h**2 - 24 - 2*h**2 to the form d*h**3 + o*h + u + w*h**2 + m*h**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 868874577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*k - 5*x, -17*x + 14*x - 3 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 12 = 4*x + 4*h, -3 = 2*x + h. Solve 0*w - w = -x*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -28, -22, -14, -4?\n\"Answer: u**2 + u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4232413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 5. Suppose 13 + 14 = 5*j - f, 4*f + 8 = 0. Let k(g) = -4. Suppose 5*v + 12 = -8. What is j*k(y) + v*b(y)?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1566478 is divided by 1464.\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14514651?\nAnswer: 3, 17, 19, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**3\/3 + 1651*a**2 + 2725801*a + 5796. Solve x(j) = 0 for j.\nAnswer: -1651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*a + 54 = 191*a. Let p(j) = -j**2 + 10*j. Let f be p(10). Solve f = v - 5*v, -4*v + a = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 7604. Let a(h) = -3*h**2. Give a(n(u)).\nAnswer: -3*u**2 - 45624*u - 173462448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + w - 4. Let q be z(-4). Let m = 2 - q. What is the remainder when 99 is divided by (-153)\/m - 2\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a century in years?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 5. Let r be 1\/(-4) + 17\/4. Determine j(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, f: 1, k: 2}. Give prob of sequence kz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*l + 78*l + 96. Let d be 6399\/(-5) - (l\/(-20) + -1). What is d rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 864 and 56436.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**4\/6 - c**3\/6 - c**2. Let v(i) = 484*i - 1560*i + 538*i + 541*i - 1. Calculate -2*j(b) + 3*v(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 16*k + 10*k - 25*k)*(-24*k - 36*k - 1150 + 1151).\nAnswer: -60*k**2 + 1261*k - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.02, 5, -0.05, -2\/1281 in descending order.\nAnswer: 5, 0.4, -2\/1281, -0.02, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2541) + sqrt(2541))*1 + (sqrt(2541)*2 + sqrt(2541))*6)\/((sqrt(49)*2 + sqrt(49))\/sqrt(7)*-3*1).\nAnswer: -187*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 6:35 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -7) + 132\/(-22). Let c(m) = 2*m**2 - m + 2. Let f be c(1). Let n = -35 + 22. Put t, n, f in decreasing order.\nAnswer: f, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5*-5*5. Let n = o + -5. Suppose 0*k - 13 = -k + 3*g, -4*k = n*g - 69. Calculate the least common multiple of k and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 54 = 4*c + 626, -2*c = 4*w - 1184. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-5))\/1 + 0. Suppose -c + 3*c - 4*c = 0. Factor 1\/5*h**2 - y*h**3 + 0 + c*h.\nAnswer: -h**2*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -57*m**4\/4 - m**3 + 2405*m**2 - 18*m + 12. Differentiate j(b) wrt b.\nAnswer: -342*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2 + 76*h = 0.\nAnswer: 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.15 + 4. Let j = g - -0.15. Let p be 12\/(-21)*21\/(-6). Which is the fourth biggest value? (a) 3 (b) j (c) p (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1248296 kilograms?\nAnswer: 124.8296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/3 (b) 1\/3 (c) 1\/2 (d) 0 (e) -12\/13 (f) -2\/575\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 5. Suppose -5*m - 4*s = 5, -m + 2*s + 9 = -w. Factor 2\/3*p**m + 0*p + 0 - 2\/9*p**5 + 4\/9*p**2 + 0*p**4.\nAnswer: -2*p**2*(p - 2)*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8103532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-119*h**4 + 758*h**4 + 1754*h**4).\nAnswer: -4786*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 407404.76 rounded to the nearest ten thousand?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 5:26 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjlvllovgllg. What is prob of sequence oggv?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*q**2 - 29*q**2 - 16*q**2 + (3 - 6 + 2)*(-2*q**2 + 2*q**2 + 2*q**2) + (1 + 1 + 0)*(-6*q**2 - 3*q + 3*q) to the form a + c*q + n*q**2 and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -33*o + 326. Let z(v) = 3*v**3 + 5*v**2 + 14*v + 11. Let p(j) = -j**3 - 3*j**2 - 7*j - 5. Let b(s) = 7*p(s) + 3*z(s). Is b(o) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11822 and 2070?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77062300 and 14?\nAnswer: 77062300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1451 = -3*s, -1030 = -4*y - s + 1879. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 8*k**3 + 18*k**3.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**2 - k**2 - 4*k**2)*(k - 3*k + 4*k + (-5 - 2 + 2)*(2*k - 5 + 5)) + 1 + 2*k**3 - 1.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-7)*4)\/2. Suppose -2*l + 12 + 6 = 0. Let y be (-5)\/21*1 - (-3)\/l. Is y > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/6 and (-10)\/4*467\/690 - -2.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30496?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4 + 64*x**3 - 1536*x**2 + 16384*x - 65536 = 0. What is x?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + (-12)\/9)\/2. Let l be 3 + (-4)\/(-6)*(-7 + 55). Let w be (4 - 2)*(1 - l\/30). Which is the nearest to 2\/3? (a) j (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.23 - -5.23. What is the closest to 3\/5 in 0.2, -3\/2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2631548.1 and -0.131.\nAnswer: -2631548.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 7*c**3\/6 - 2*c + 26. Let b(q) = 300*q. Determine j(b(f)).\nAnswer: 2100*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 17*t. What is o(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141952?\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*2\/(-28) - (-57534)\/14. Find the second derivative of 0 - 84*w**3 + 4159*w + 0 - j*w wrt w.\nAnswer: -504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 4*q**2 + 5*q - 19. Let j be m(5). Solve j - 39 = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1022 - -1333?\nAnswer: 3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1909.3 + 1909.1. What is the closest to 3 in x, 11, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 24*b - 3*b)*(1 + 1 - 4) + 2*b + b + 0*b.\nAnswer: -43*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/17? (a) -0.3 (b) 40 (c) 152.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1155606 divided by 385202?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5\/14, -20.02 in descending order.\nAnswer: 2, -5\/14, -20.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -21 - 11*d + 7*d - 11*d. Let u = 427 + -429. Let z(w) = 3*w + 4. What is u*p(y) - 11*z(y)?\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7. Suppose l = -q + 6. Let u(c) = -c - 17*c**2 + c + 18*c**l. Let f(t) = 5*t. Give f(u(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 1)*(-2 - x + 2 + x - 4*x + x + (x - 2*x + 0*x)*(-2 - 2 + 3) - 30*x - 30*x - 33*x) in the form c*x + u and give c.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8313022*p**3 - 23298375*p**2 wrt p.\nAnswer: 49878132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 2 + (5 - 1 - 5)*(0 + 1 + 1))*(-s + s - 7*s).\nAnswer: 35*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a gram in milligrams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 13497915854\nAnswer: -13497915853.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -35, 669, 2823, 7153, 14385?\n\"Answer: 121*m**3 - m**2 - 140*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21\/1132 or -1?\nAnswer: -21\/1132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.6 + -4.3. What is the nearest to -2\/3 in 2, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592564944?\nAnswer: 2, 3, 73, 169111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 224.8306139 rounded to 0 decimal places?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(84))\/(sqrt(63)*-4 - sqrt(7)).\nAnswer: -6*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 83320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23322 and 21294?\nAnswer: 489762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08357 and -4938.\nAnswer: -412.66866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 + 5*u**2 + 6*u**3 - 14*u**2 + 2147*u.\nAnswer: 6*u**3 - 5*u**2 + 2147*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u = 7*u - 84 + 65 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3*f + 165 = 0, -4*i + 4*f - 49 = -196 - 105 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1214, 2144, 2798, 3182, 3302, 3164, 2774?\nAnswer: 2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 4:21 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1904)\/(-128) + (-1)\/(-8). Solve -x*b - 3 = -78 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -7. Let v = -1 - 0.6. Let x = 1.6 + v. Which is the closest to -1? (a) -0.4 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -11. Let w(m) = -4*m + 6. Is w(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 100 = 2*u, u - 445 = 2*s - 7*s. Suppose -9*j + s = -6*j. Solve p + r + 1 = 3*r, 3*p + 5*r - j = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from totootttttttotttttto?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2996 is divided by 45?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - 234. Let l = 1489 + p. Let v = l + -1204.0741. What is v rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-7) + (-3)\/(-1). Suppose z + 0 = 1, 3*z = -s*p + 111. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4 + 2 = 0. Let r be (2\/4)\/(o\/(-48)). Let d = 9 + -5. Solve 0 = -2*c - 2*c + r*q - 16, d*q = 2*c + 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 + 2*q + 9. Let j be o(0). Suppose -486 = 7*l - j*l. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 4, -2, -11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-825) - ((3422\/435 - (14 - 3)) + 3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 5. Suppose 6*k + 4*j = t*k + 13, 2*k - 4*j = 2. Solve -14 = k*y + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 0.2, -65, 3\/7, -0.14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6)*-2)\/(854\/(-9)*(-837)\/(-1953)).\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 12 - (-1 - (-1 + (-5 - 0) + 63))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 10:16 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 484.6623 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*g + 9*g - 6*g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 36 = -5*d, -2*z + d + 8 = 0. Let y(f) = 20*f - 11. Let h(w) = 11*w - 6. Let q(n) = z*y(n) - 11*h(n). Let i(k) = -24*k**2. Give i(q(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -23 + 128 + 45*z - 20 - 3*z**2 + 77 = 0?\nAnswer: -3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 8 - 5. Suppose 31*n = 34*n - a. Put -1, n, 3 in decreasing order.\nAnswer: 3, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 15) to base 10\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -7. Let s = -77 + o. What is the common denominator of (-15)\/s*106\/4 and -11\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3550 and 1775?\nAnswer: 3550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 181147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000181331188 rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**7\/420 - o**5\/60 + o**3\/2 - 3*o**2. Let v(y) be the first derivative of t(y). Solve v(g) = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 486 and 144?\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c - 12. Calculate the lowest common multiple of l(-6) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.427 + -0.027. Sort 2, -1, z, 1 in descending order.\nAnswer: 2, 1, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhmlpnpjnplh. Give prob of sequence mlj.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 85 (c) 2\/7 (d) 1\/4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.84 and -1.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174147 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*w - 121*w = -179*k + 182*k + 20, 5*k - 4*w + 66 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2319617317 to the power of 1\/2, to the nearest integer?\nAnswer: 48162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 = -t + 7, 17 = 4*t - 5*h. Suppose 4*l = 3*l + t. Factor 2*s - 6*s**2 - 7*s**2 - 24*s**l + 15*s**2.\nAnswer: -2*s*(3*s - 1)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 21 + 38*f**2)*(-1 + 2 + 2)*(3*f - 3*f + f) to the form q*f + n + x*f**2 + h*f**3 and give h.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.253986 decades to years.\nAnswer: 72.53986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152591 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: Which is the closest to 15? (a) -245 (b) -0.2 (c) 0.1 (d) -2\/15 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-5 - (-1 + 1)). Let p be ((-2)\/(-5))\/(n\/(-15)). Suppose 4*w + 24 = 7*w. Solve -p*u - 2*u = w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 4*v + 3 = 11*v. Let g(s) = -s**2 + 10*s - 12. Let j be g(8). Solve -j = h - v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - g**2 - g. Let b(m) = -7*m**3 + 2*m**2 + 14*m. Let h(v) = b(v) + 6*x(v). Calculate the remainder when 69 is divided by h(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 44 - 5 = 0. Suppose 5*l + 4*a - 11 = 5*a, 2*a + n = 5*l. Let j be (-1 + l + (1 - 0))*1. Solve -w = -0*t - 2*t - 11, j*w = -5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2\/24*(-32)\/16?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (2\/2 - 4). Suppose -5*q - v + 100 = -3*y, -4*y = -4*q + 76. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 311 or 304?\nAnswer: 311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -79207783\nAnswer: 15841556.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**5 + 588*m**4 - 711*m**2 - 77*m + 539?\nAnswer: -60*m**3 + 7056*m**2 - 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1135 - -1733. Let f be (h\/69)\/((-1)\/(-12)*2). Let p = f - 32. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -16 + 1. Suppose -2*j - 4*p + 29 = -19, -5*j - p = -84. Suppose 2 = 2*w - 2*y - 6, -4*w + j = -5*y. Solve i - 4*t = 8, w + 5 = k*i + 3*t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30177, 120701, 271573, 482793, 754361, 1086277?\nAnswer: 1478541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 2*o**2 + 6*o - 3. Let y be s(4). Let z = 31 + y. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)*(s\/(s\/s**17*s))\/s*s*s)\/(s*s**(-17)*s**5) assuming s is positive.\nAnswer: s**(83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5564, 11129, 16694, 22259, 27824, 33389?\nAnswer: 38954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 102*y - 8736 = 193*y for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1176 and 55\/5442?\nAnswer: 1066632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 3*q = -7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1693.878404 - 1693.8. What is r rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 24*u**2 + 3*u - 7. Is x(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -42*p**2. Let v(c) = 3*c + 2. Let d(j) = 10*j + 5. Let s(r) = -21*r - 11. Let k(w) = 11*d(w) + 6*s(w). Let o(u) = 2*k(u) + 11*v(u). What is o(y(l))?\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand -7*c**4 - 8*c - 13*c + 727*c**3 - 726*c**3 + (-3*c**3 + 5*c**3 - 3*c**3)*(-3*c + 5*c - 4*c).\nAnswer: -5*c**4 + c**3 - 21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-60)\/144 + 87\/12. Let y(r) be the first derivative of 8*r**2 - r - 1. Let u be y(1). What is the highest common factor of f and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1101, 5, -5, 11?\nAnswer: -0.1101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, j: 1, p: 6, h: 1, k: 3}. What is prob of sequence kjkp?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**2)*((k*k**(3\/4))\/k)\/k)**32)**(-2\/19) assuming k is positive.\nAnswer: k**(-112\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 169555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25464 - 264808 = 4274*r for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = -11. What is the second derivative of 9*u + 4*u - 2*u - y*u**4 + 19*u wrt u?\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11026, 26403, 41780, 57157, 72534?\nAnswer: 87911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2205*j**2 + 3358*j**2 - 22568*j**2.\nAnswer: -21415*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -109592345705 and 5.1.\nAnswer: -109592345699.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j - 10 = 0. Let n = 22 - j. Let z be 7\/4 + 6\/n. Solve -3*v + d - z = 0, 2*v = 3*d - 0 - 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 1 + w - 2)*(6 - 1 - 3).\nAnswer: 2*w - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*m - 93*m - 4*r - 111 = 0, 0 = m + 4*r - 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 14*i + 5. Let l(o) = o. Calculate l(k(c)).\nAnswer: 14*c + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -11\/2, -0.4, -375?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 1 - 7*i - 7*i**2 - 2 + 8. Let x(f) = 4 - f**3 - 5*f**2 - 5*f + 5 - 4. Determine -5*l(c) + 7*x(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -19*10\/6*186\/(-155). Calculate the greatest common divisor of 152 and i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**6\/60 - f**5\/3 - 9*f**4\/4 - 6*f**3 + 52*f**2. Factor j(n).\nAnswer: -2*(n + 1)*(n + 3)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -96. Let i = 99 + r. What is the remainder when 121 is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -66 + 33 + 95*r**2 + 33. Let t(a) = -a. Give d(t(i)).\nAnswer: 95*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -7*t**4\/12 + 8*t. Let b(j) = 39*j + 30. Let s(w) = -799*w - 612. Let k(a) = 102*b(a) + 5*s(a). What is x(k(d))?\nAnswer: -2023*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xauiuuuxut. Give prob of sequence ua.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 636?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*d - 2. Suppose -x = d*x - 5, -y + 4*x = -2. Let s = 10 - y. Calculate the greatest common factor of s and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 297*j - 890*j + 295*j + 379*j**3 + 298*j + j**2 + 589 wrt j?\nAnswer: 1137*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 587281016?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-2*(-84)\/(-8))\/((-6)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/9 and (-371)\/(-614) - 0 - (-4)\/(-8).\nAnswer: 2763","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*g - 4, -4*o - g = -3*g - 8. Solve -o*x = -0 - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrvvrrrr. Give prob of sequence rvr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6689*l - 20065. Determine a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 6) in base 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 252248, 504497, 756746, 1008995?\n\"Answer: 252249*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i*i**(7\/2))*i*i*(i**(1\/34)*i)\/i*(i**(-4\/11))**(-26) assuming i is positive.\nAnswer: i**(1680\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 13496920.2 to the nearest 10000.\nAnswer: 13500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t + 4*t + 159185 - 159185.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -26. Suppose 0 = -d + 20 + b. Calculate the remainder when d is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4144)\/32)\/(2\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 294 - 6*1\/2. Suppose -u = -7*r + 241. What is the highest common factor of r and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7601*3.\nAnswer: 22803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u = 28*u + 12. Calculate the greatest common factor of 42 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 3745.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1888561g in micrograms?\nAnswer: 188856.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -874*g - 5677 - 3937 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4117*a + 2*f = 4121*a - 20, -3*f - 12 = -3*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - -52. Let t = 18 + -26. What is the biggest value in t, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1241 - 0.0741. What is the nearest to -3 in -3\/8, -2, 0.2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 18. Suppose 2*f - 5 - 1 = -s*z, 19 = 5*z + f. Suppose -3*y + l = -50, 0*y + 5*l = z*y - 63. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 7*a**2 - 8*a - 7. Let p be f(-6). Suppose 0 = -p*o - 1 + 6. Suppose -10 = 3*d - 8*d. Solve -n - o - d = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 6:45 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 8. Let l be h(8). Suppose l = -2*r + 71 + 63. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 539 and 12593?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 37305 = m, -10*m + 3*l = -5*m - 186541. What is the thousands digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 116 = -106. Suppose -16 = 3*c + 4*d, -169*c + 172*c + 2*d + 14 = 0. Put n, 3, c in ascending order.\nAnswer: c, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 1010010000?\nAnswer: -1010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + o - 12 = 3*t, -5*o + 12 = -4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 + 3*i + 2490000. Suppose 0 = -26*v + 14*v. Let a be c(v). What is a rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 9*s**2 - 169*s + 47. What is y(17)?\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(1\/6)*t)**(23\/3))**(10\/13))**(3\/16) assuming t is positive.\nAnswer: t**(2185\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 223?\nAnswer: 223.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.057 in 7.4, -4, -5, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1549*c - 761*c - 3588 - 2924 = 714*c for c.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*f + 176, -4*f - 26 = -5*c - 172. Let z = 21 - f. Let x = 20 + z. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -38. Let v = 20 - r. What is the units digit of (-2)\/((15\/v)\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2)*65\/(-1235).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -1)\/(2\/7). Let w = 12 - p. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**3 + 88*o**2 - 5*o + 114. Let i = 0 + 4. What is the lowest common multiple of m(22) and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 604 = -3*l - 2910, 0 = 5*i + 2*l - 8823. Suppose -3*f = c - i, 16*c - 12*c - 20 = 0. What are the prime factors of f?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4608 and 727136?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5964*c*p**4 + 15*c*p**2 + c*p + 14*c + p**3 - p**2 wrt p.\nAnswer: 143136*c*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2717934575?\nAnswer: 5, 108717383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1.5. Let f = -1219\/65 + 93\/5. Let y = -3.2 - -3. What is the biggest value in y, f, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 102*a - 102. Does 53 divide f(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25)\/sqrt(5) + sqrt(5))*5 - ((sqrt(5) + sqrt(15)\/sqrt(3) - sqrt(5)) + 2))**2 - (3 + 4*sqrt(5) + -4)**2.\nAnswer: -28*sqrt(5) + 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*o - 340, o = -2*o. Let f be 36\/10 + (-34)\/g. Solve f = -4*b + 8*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7758 = 70*k + 7618. Determine o so that -24\/7*o - 48\/7 - 3\/7*o**k = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 0 - 15 = 0, -7*l = 3*s + 32 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -98107547 greater than -98107549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -647 - 1528. Let c = n - 3154. What is the units digit of (-1)\/(-3) - c\/33?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11346 and 16688106?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -24*n - 3. Let x(r) = 28*r + 3. Give -6*s(w) - 5*x(w).\nAnswer: 4*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -144128, -288242, -432356, -576470, -720584, -864698?\n\"Answer: -144114*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 384213 + -383926.171. Let x = 287 - o. Round x to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18052.\nAnswer: 2, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**4\/24 + 11*v**3\/6 + 11*v**2. Let o be f(-8). Solve 3*h - 11 = -0*h - x, -o*x + 12 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdddtdtpdtdpp. What is prob of picking 2 t and 1 p?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7*b + 45 = 5*s, -5*b = s + 15. What is the closest to 1\/2 in 2, 3, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/8 of a hour?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffufuuuun.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-12)*((-38640)\/(-45))\/46.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -8*l + 41. Let x be g(4). Solve -h = 5 - x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -49*d**4\/4 + d**2\/2 + 22*d - 26. Find the second derivative of s(y) wrt y.\nAnswer: -294*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2. Let f be 8\/3*g\/20. Which is the nearest to -0.2? (a) 3 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(176) - ((1 + sqrt(176))**2 + 2)) + -1) + ((sqrt(110)*-1)\/sqrt(10) - 1*sqrt(99)) + (-1*sqrt(1584) + sqrt(1584) + 5)**2.\nAnswer: -875 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 10. Suppose -f*a - 144 = 3*a. Let l = a + 34. Calculate the lowest common multiple of l and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 284796 and 96228?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 371662 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-617)\/(-4) + (-2)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11 + 81*q**2 + 83*q**2 - 165*q**2 - 2*q**3 with respect to q.\nAnswer: -6*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-3 + -7 - -17)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 19*a**2 + 9*a + 5. Let p be b(-2). Suppose -3*c + p = 5*j, -4*c - 5*j = -j - 84. What is the remainder when 98 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7286676 to the power of 1\/2, to the nearest integer?\nAnswer: 2699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8 + 6 - 5 - 2*p**3 + 3*p**3. Let g be r(0). Let n(b) = -b**3 + 8*b**2 + 11*b - 4. Is 7 a factor of n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*m - 756 = 0, 453 = -3*a - 0*m + 3*m. Let l be ((-570)\/a)\/((-6)\/(-8)). Solve l - 7 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(224) + 2*sqrt(224) - sqrt(224) - sqrt(224)) + (sqrt(224) - 5*(-2*sqrt(224) + sqrt(224))))\/(sqrt(847)*2 - sqrt(847) - sqrt(126)\/sqrt(2))*3.\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -20) + -19 - -31?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53262 by -17754.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5066.561 litres in millilitres?\nAnswer: 5066561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2536349.\nAnswer: 17, 149197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3164576.91409 and -0.4?\nAnswer: 3164576.51409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by 21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-1)\/((-4)\/600). Suppose 6*v = 5*v + q. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8365387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 5, d: 3, a: 7, f: 1, p: 2}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44435317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2145, -2189, -2263, -2367, -2501, -2665?\nAnswer: -2859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + 28*v**2 + 12*v - 193. Let u be f(14). Put 2, -6, u, 3, 5 in descending order.\nAnswer: 5, 3, 2, -6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37516.78 rounded to the nearest 1000?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*p - 56*p**2 + 21 + 165*p**2 - 57*p**2 + 66*p - 53*p**2 with respect to p.\nAnswer: -2*p + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4760 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 4, i: 1, z: 5, y: 1, l: 7}. Give prob of picking 2 z and 1 i.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**5 - 7*z**4 + 77*z**2?\nAnswer: 60*z**2 - 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5 + 63*k**4 - 342*k**3 - 7374*k**2 + 31059*k - 23409 = 0. Calculate k.\nAnswer: -17, 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**5\/15 + 157*q**4\/6 + 2*q**2 + 779*q. Factor y(p).\nAnswer: -4*p*(p - 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*w + m + 31, 5*w - 22 = 4*m. Solve 0*f = -2*f - 4*s - 20, -3*f = -2*s + w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.23 - 0.07. Which is the third smallest value? (a) -0.2 (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 - -4 - 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -1\/4, -1\/8, 0.2, 3\/10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40480 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -151\/897 + 1\/69. Which is the nearest to 2? (a) t (b) 2\/5 (c) 1\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3. Let f be t(-1). Let w(g) = -5*g**3 - g - 1. Let o(c) = -9*c**3 - 2*c - 2. Let x(v) = 6*o(v) - 11*w(v). What is the units digit of x(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4a - -16948?\nAnswer: 168fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.002623851 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d*d**9*d)\/d*d*d**(2\/3))**(-1\/24))**(-28))**(8\/15) assuming d is positive.\nAnswer: d**(1064\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -506.8 * 283.\nAnswer: -143424.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 1. Let v(o) = -2*o**2 - 10*o + 10. Let r = 63 + -69. Let h be r - (-13 - 18\/(-3)). Calculate h*v(q) + 8*p(q).\nAnswer: -2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76\/11 - -4354\/627. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) -21 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -41 - (-2 - -8) - 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 24 + 24898*s + 27752*s.\nAnswer: 52650*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -78 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-75))\/((-42)\/315)*(-5)\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 188085470 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 58. Let z(t) = t**2 + 4*t - 6. Let w be z(m). Suppose 3*n + 0*n = 0. Solve w = -3*v - n*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -5. Suppose -15 = 3*w, p = 4*n + 4*w + 6 + 2. Is 3 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 3*h. Let x = 10 - 3. Let l(b) = 2*b - 2*b**2 - 2*b + x*b + 0*b. Let z(n) = n**3 + 2*n**2 - 6*n + 1. Let y be z(-4). What is y*s(v) - 3*l(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-30*14\/1008)\/((-9)\/((-2124)\/(-10)))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4449390?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 5:38 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 10:06 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*o + 167 - 194, 0 = -3*v - 4*o + 89. Solve -4*r + v = -3*m, r + 5*m = -16 - 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016652881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o. Let y(h) = 59*h + 19727. Calculate k(y(x)).\nAnswer: -177*x - 59181","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38316 is divided by 174?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -15. Suppose 5*p - 5*c - 70 = 0, -c - 72 = -3*p - v*c. What is the remainder when 73 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 278871 and 471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75161*j**2 + 12970.\nAnswer: -150322*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072896 is divided by 218?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 58 - 78 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10b187 (base 12) to base 15.\nAnswer: -54677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 264 (b) -5 (c) -0.129 (d) 0.04 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - v = 8 + 4, 16*v = 17*v - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 7296*w - 7298.\nAnswer: 2*(w - 1)*(w + 3649)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 305718 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21634 divided by 15387.\nAnswer: 21634\/15387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - 3*s**2 + 2*s. Let a be ((-9)\/12)\/((-1)\/(-4)). Let l be u(a). Suppose 0 = n - 2*n + l. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 6. Let u be w(0). Suppose -u + 4 = -2*i. Factor 28*a**2 + a + 14*a**3 + i - 5 - 4*a**2 + 5*a.\nAnswer: 2*(a + 1)**2*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 f, and 1 j when three letters picked without replacement from utvtwtjtvtftjt.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 161491 times -13?\nAnswer: -2099383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*o + 105760535 = -87542694 - 14168014. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*l + 3*l - 70 + 9*l + 3*l in the form x*l + n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 4*n = 48, 3*s + n - 14861 = -14889 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4969082946 to the power of 1\/3, to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/(-18)*(-21)\/(-4). Let p = s + 16. Find d such that 0*d**2 - p*d**4 + 0*d - 1\/2*d**5 + 0 - 2*d**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372455824.\nAnswer: 2, 13, 31, 47, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -140, -225, -338, -485, -672?\nAnswer: -905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 7*k - 12. Let p(u) = -u**2 + 4*u - 9. Let m be p(6). Let j be m\/(-6) + (-1)\/2. Solve -h - 18 + j = -5*o, -k*h = o - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -2*a**5\/5 - 121*a**4\/4 + 91*a**2\/2 + 583. What is the second derivative of l(o) wrt o?\nAnswer: -24*o**2 - 726*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0293 - 57\nAnswer: -57.0293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-475)\/(-76) - 18\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.97 + 0.03. Let a = -3 + 0. Let l = a + c. Which is bigger: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/9456 and -53\/11.\nAnswer: 104016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.1814 to 1 dp.\nAnswer: 47.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/363 (b) -0.5 (c) 1 (d) -0.2 (e) 4 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 2*n - 314. What is s(-18)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 3693?\nAnswer: 2\/3693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513 = -18*l - 9*l. Let v = l - -52. Is 72 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 553111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*v + 1989 - 382 = -211 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000079992 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiqq when four letters picked without replacement from {q: 2, i: 10, y: 2}.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/(r\/(r**7*r)))**(6\/5)\/((r\/(r\/(r\/r**(-1\/3))))**(1\/12)\/(r*r*r**(-2\/7))**(-3\/4)) assuming r is positive.\nAnswer: r**(2584\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, -2\/7, -0.6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.9 + 11. Let y be (-2)\/18 + (-686)\/63. What is the smallest value in i, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1. Let j(r) = -r. Determine -4*j(l) + 5*t(l).\nAnswer: 4*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4\/3 - 68*d**3\/3 - 128*d**2 - 848*d\/3 - 640\/3 = 0. Calculate d.\nAnswer: -8, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 834 + -825. What is the highest common factor of 1611 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2494*k + 2285*k + 398 = -856 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 24 - 3*q**2 + q - 47 + 24. Calculate x(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38172 * 0.00211\nAnswer: 80.54292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 + 55*t**2 + 25*t - 54. Let d be u(-27). Suppose d = 120*k - 119*k - 3. Solve k = -g + 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*q - 109*q = 133*q + 3444 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -53003*o - 4187242. Give g(-79).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*x = 112, -q = q - 5*x - 28. Calculate the least common multiple of (4\/12)\/(2\/q) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u + 105 = -9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 2*p**3 + 0*p**3 + (2*p**2 + 2 - 2)*(-2 - 2*p + 2) + p**3 - p**3 - 4*p**3 + 2*p**3 + 2*p**3 - 7*p**3 + (3*p - 6*p + 0*p)*(-p**2 + p**2 + p**2).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -87851 (base 9) to base 11\nAnswer: -3a877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.39499 minutes to nanoseconds.\nAnswer: 5783699400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5 = 3. Let b be (59\/1 - 0)*(-4)\/o. Let j = 61 + b. Solve x = -4*f - 27 + 9, -6 = j*f + 2*x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -k + 5, 0 = 4*r + 2*k - 8 + 2. Let a(u) = -39*u + 2. Let b be a(r). Let s = 62 + b. Solve 6*j + s = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6290105*n**3 - 2693*n**2 - n + 3 wrt n.\nAnswer: 37740630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*o + 53, 6*q - q = 2*o - 41. Suppose -o = -k - 4. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -2\/365, -0.3, -0.05, -8425?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 16*a**2 - 6*a + 12. Suppose 59 = -3*g + 11. Let t be i(g). Let w = t - 52. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91308 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*f - 51 = 0, -f = 3*f + 12. Suppose 52 = -7*y + i*y. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*t**3 + 338*t**3 - 1198*t**3 + 281*t**3 + 284*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 18*k + 42. What is r(-10)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 0, 2\/11, -2965?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -675 + 676. Which is the closest to x? (a) 0 (b) 1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-2) + -1)\/(-5 - -7). Let h(x) = 3*x - u - x + 3. Let b(o) = 6*o. Give h(b(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4 - 16*l - 17 + 15*l - 3 + 6. Give h(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/(k*k*k\/(k*k**(-1\/4)))))**(2\/141))**32*(k*k\/(k**(-1\/2)*k)*k\/((k*k**(-3))\/k)*k)\/(k\/((k**(5\/4)*k)\/k)*k*k**(-4)) assuming k is positive.\nAnswer: k**(6331\/564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -158 - -871. Let h = j + 407. Round h to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3.2. Let j be (3 - (-24)\/(-10))*1. Let z = 276 + -1928\/7. What is the smallest value in j, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 397? (a) 0 (b) 2\/5 (c) 1 (d) -2\/13 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/14? (a) 48 (b) 0.044 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 616 + -365. Let h = -124 + b. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(612) + ((0 + sqrt(17))*1 - sqrt(17)) - (5 + sqrt(1700) + sqrt(1700) + -1))**2.\nAnswer: 112*sqrt(17) + 3348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzzzamzmcwyzw. What is prob of sequence cmww?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n**2 + 40*n. Let t(x) = -2*x. Give z(t(j)).\nAnswer: -40*j**2 - 80*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(175)*3) + -5*-6*(2 + sqrt(11)).\nAnswer: 60 + 451*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*((sqrt(112)*-1)\/sqrt(8))\/sqrt(7)*-5.\nAnswer: -75*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 734979067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*f = -2*a + 73049, 5*a + 2*f = 365219. Suppose -3*l - 36517 = -j - j, 4*j = 3*l + a. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3564)\/(-90882) + 61\/(-255)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - q = -1, 36 - 42 = -2*g + 2*q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4 - 489726*h**3 + 2448655*h**2 = 0 for h.\nAnswer: -489731, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 9:45 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/15)*(a\/a**(-11))\/a)\/(a**(-1)*((a\/(a\/(a*a**(-8))*a))\/a)\/a) assuming a is positive.\nAnswer: a**(326\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s\/(s*s*s\/s**(-4)*s)))\/(s**(-2\/3)*s*s))\/(s**(7\/5)\/(s*s*s**5)))**(-34\/7) assuming s is positive.\nAnswer: s**(-5746\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 4 + 4*x - 5*x**2 + 0*x**2 - 2*x + 10. Calculate w(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/43, 2\/11, -0.06, -1 in descending order.\nAnswer: 2\/11, 2\/43, -0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 2*q + 8. Let x be l(0). Solve -13*j**2 - 7*j**3 - x + 8*j**2 - 20*j + 3*j**3 - 11*j**2 = 0 for j.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by (-14)\/4*162\/(-27)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63206 != 63235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0)\/a*a*a**(-4))**42 assuming a is positive.\nAnswer: a**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 52 - 2 - ((10 + -14 + 15 - -5) + -7)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 w, 1 r, and 1 k when four letters picked without replacement from {o: 1, r: 2, m: 2, k: 1, w: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 8:52 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772590605.\nAnswer: 5, 113, 1367417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*w + w, 4*w = 2*i + 4. Let z be ((-26)\/i)\/(4\/(-16)). Let h = -3 - -6. Solve z = -5*l + h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 210 + -837\/4. Sort -1\/4, f, -2 in ascending order.\nAnswer: -2, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -75765.296 and 12233.15.\nAnswer: -63532.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2818 and -24529?\nAnswer: 27347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 299 + -212. Calculate the remainder when a is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101122 (base 3) to base 12.\nAnswer: -1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -10*p + 9*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 333256064*r*y**2 - 2*r*y - 7*r + 39*y + 7115 wrt y.\nAnswer: 666512128*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is c3 (base 16) in base 7?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.6, -3\/14, -2, 2, -3\/5, 4 in decreasing order.\nAnswer: 4, 2.6, 2, -3\/14, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4114*z**2 - 749*z**2 - 15061*z**2.\nAnswer: -19924*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1369844 and 269920.\nAnswer: 54793760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4273466 - -104?\nAnswer: -4273362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - 24 - (6 + -1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-836)\/4180)\/((2\/(-1))\/2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6835834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1099, -4179, -9311, -16495, -25731?\n\"Answer: -1026*z**2 - 2*z - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1347301*c**2*o**2 + 4609139*c*o**2 wrt c?\nAnswer: -2694602*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3044*y**2 - 85057 + 85057 in the form p*y**2 + z*y + m and give p.\nAnswer: 3044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tiiutii. What is prob of sequence tiut?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 0 + 3 + 2 - -2*4*sqrt(304)*-4)**2.\nAnswer: -1240*sqrt(19) + 292169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -2. Let t(h) = h + 0*h - a + h. What is the units digit of t(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 253817429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from eeewwwweeewewwewew.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*v + 463 = 0, -5*i - 2*v = 2*v - 789. Suppose 0 = -i*r + 167*r - 12. Solve 2*y = r*q - 5 - 3, 4 = -2*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 266\/213 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 30*j + 13. Let y be r(13). Calculate the greatest common factor of y and 1209.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z - 621 = -29*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1804*h**5 + 2484*h**2 - 300*h**4 + 154*h**4 - 936*h**5 + 146*h**4 wrt h.\nAnswer: -164400*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/47 - 55\/188. Which is the second smallest value? (a) 2\/21 (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 22 = 2*a + 2*a, -3*k - a = -32. Suppose -14 = -k*m + 3*m. Suppose 0 = -6*t + m*t - 2*u + 18, t - u - 3 = 0. Put -4, t, 38 in increasing order.\nAnswer: -4, t, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 31*c + 22 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**5\/50 - 2*n**4\/45 - 4*n**3\/45 + 27*n - 1. Find u such that l(u) = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*s - 4*j - 2, -s + 2 = j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 36499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3\/8*u**2 - 3\/8*u**3 + 0 = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3*n - 1 = 4, 0 = -5*h + 5*n + 35 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*s - 38*s + 37*s)*(10 - 11 + 4 + 11*s) - 2*s + 2*s - 2*s**2 as p + k*s**2 + b*s and give k.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 13 - (1 + (-3 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-2)\/(-3))\/((-1330)\/840)).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + 4 - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*v = v, 2*x - 3 = v. Let d be -1*(22\/(-8) + x). Let u(i) = 2*i**3 - 1. Let b be u(1). What is the smallest value in -4, b, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2354*v - 920681. Determine q(391).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 292790 = -2*x, 3*n - x = 211642 - 35968. What is the thousands digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 44. Let w be 2*(3 - (1 - -1)). Let q(m) = 1 - 1 + 4*m**s + m**w. Let c(u) = u. What is c(q(b))?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*b**2*z - 346*b**2 - 5551*z wrt b.\nAnswer: -10*b*z - 692*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47209502963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*s, 0 = -77*p + 82*p - 2*s - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16549 + 23479. What are the prime factors of w?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmzzzmpzmmzzzzzzpzmm. What is prob of sequence zpp?\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119552 is divided by 3856?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: (1 + 2389)*(4\/(-1064))\/(-1) + -231 + 222\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1946 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1196342 is divided by 85452.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/13 bigger than 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288769 < 1288769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5290*p**2*w + 7*p**2 + 844*p + 2*w - 5 wrt w.\nAnswer: 5290*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3097 (b) 3 (c) -613\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1))\/j**(-7))**(-12) assuming j is positive.\nAnswer: j**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9471 rounded to one dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - t + 7 = 0, 2*t - 5*t + 27 = -5*f. Let b be -3*(f - -1) - 1\/1. Suppose 14 = b*x + 2*x. Solve x*q + q - 6 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5, 3*c - 6*c + 4*v + 32 = 0. Let t = -7 + c. Suppose 3*n + 10 = t*n. Solve 0*u + 4*u - 25 = n*f, -3*u + 2*f = -10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w + 52470 = 52170 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*7\/(21\/18). Let t = 5 - j. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 38. Calculate the remainder when 110 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1515*f + 1532*f = -204 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 30, -4, 2.\nAnswer: -4, 0, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 35. Suppose -z = -5*z - 4*n + 24, 4*z = 3*n + v. Which is the nearest to -0.1? (a) -4 (b) z (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/60 - (-4 + 434\/105).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 26*k + 3. Suppose r = 5*x - 7, -2*x + 2*r = 5*r + 4. Let s be j(x). Suppose 4*u - s + 5 = 0. Solve -u*c + 16 = -10*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jquuuuuqqqujuuuuhuu. What is prob of sequence qh?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 3 - 3 + (5*c - 3*c - 4*c + (-1 + 4 - 1)*(-2 + 2 + 2*c) + c - 3*c + 0*c - c - c + c - 2*c + 1 - 1 + c - 5*c + 5*c)*(638 + 959 + 1090).\nAnswer: -5375*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w - 3*w + 4*w + 3*w - 6*w + 2*w + (w + w + 0*w)*(2 + 1 - 2) + 2*w + 1 - 1 + 12833 + 9*w - 12833.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 15133062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - -1) - (-36 - -31)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -76458500 rounded to the nearest 1000000?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b453 (base 13) in base 7?\nAnswer: -311616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -99 divided by -9\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - ((-48)\/10)\/((-3)\/(-6615))) + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 180 + -262. Let x = m - -164. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 + y - 2. Let n be b(1). Let f(x) = x**3 - 6*x**2 + 6*x - 4. Let j be f(5). What is the nearest to n in -0.4, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 12, -0.3, 185?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65\/9 - -289\/45. Put i, -1\/4, 0.5, -2 in increasing order.\nAnswer: -2, i, -1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -239, 0.3, -2\/19, 7, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.29476 + 0.2851. Round g to 4 decimal places.\nAnswer: -0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(-17)\/34?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 59 = 4*a. Let l be a\/(-3)*20\/15. Suppose 0 = -3*s - 3*v - v + 11, 0 = 5*s - l*v - 29. Solve 0 = -0*k - 3*k - s*z - 1, -3*k + 5 = 2*z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 20 = -45 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.5 + -13. Let z = -7.1 - -8. Which is the third biggest value? (a) -3 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -53a6100a?\nAnswer: 53a61011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 38*z - 159. Let i be v(-6). Solve -7*j - 40*j = -i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 135, 240, 327, 396?\n\"Answer: -9*c**2 + 132*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1536 divided by 9546.\nAnswer: 256\/1591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w + 3202724 = 56*w + 36222. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.268346316 rounded to 2 dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8*((-2080)\/(-72))\/13.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5756360*f**5 - 5221667*f**2 wrt f.\nAnswer: -345381600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/8)\/n*n)\/((n\/(n*n**2*n))\/n*n)*(n\/(((n**(2\/3)\/n*n)\/n)\/n))\/n**(5\/4) assuming n is positive.\nAnswer: n**(95\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -643, -668, -705, -748, -791, -828?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m*w**3*x - m*x + w**3*x + 42*w**3 - 2*w - 38 wrt w?\nAnswer: -12*m*w*x + 6*w*x + 252*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 282 and 13418?\nAnswer: 1891938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from {g: 1, f: 1, x: 2, z: 1, b: 1, a: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1116180745 plus -29948.3?\nAnswer: -1116210693.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-9 - (-21 + -2 + -9 + 18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -2349 and 3852 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 21 = -s. What are the prime factors of 13 + (2 - 4) + -10 + s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66319.65ml in litres?\nAnswer: 66.31965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 9477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 13. Let o(i) = i + 14. Let c(h) = -6*o(h) - 7*u(h). Let t(w) = -w - 1. Let b(x) = -c(x) - 5*t(x). Differentiate b(y) with respect to y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-70)\/(-21)*(-12)\/(-5). Suppose -u + 2*u - 5*y = 24, 3*y = 2*u - 41. Suppose k*t = -a + 4*t + 7, -5*a + u = 4*t. Solve 1 = -4*z - a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjeii. Give prob of sequence mje.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 - 8638379?\nAnswer: -8638380.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120 - 113534544?\nAnswer: -113534424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 12:16 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3.5. Let x = -0.5 - -1.4. Let u = x + w. Which is the third smallest value? (a) u (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 15983)\/(((-84)\/720)\/7). What is c rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r**2 - 2*r**2 + 4*r**2)*(1372*r - 96254 + 96254).\nAnswer: 13720*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 1, -2, 212, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 179a + -1?\nAnswer: 1799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 26 = 6. What is the first derivative of -2*v**4 - 3 + 0*v**4 + k wrt v?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) 26 (c) 5 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34726 or -10?\nAnswer: -34726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 2*g + 2. Let r(w) = 2*w**2 - 3*w - 3. Let z(b) = -b**3 - 18*b**2 + 18*b - 17. Let t be z(-19). What is t*r(l) + 3*q(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -68, -271, -610, -1085, -1696, -2443, -3326?\n\"Answer: -68*t**2 + t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*w + 21, 2*u = 5*w + 21 - 49. Suppose 5*d = -4*h - 41, -3*h + w*h = d - 7. Put 2, -3, d in decreasing order.\nAnswer: 2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1014*s**3 - 2150*s**3 - 822*s**3 - 1947*s**3.\nAnswer: -3905*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 11\/24*u**4 + 0 + 17\/120*u**6 + 0*u - 7\/20*u**5 + 2*u**2 - 1\/3*u**3 - 1\/42*u**7. Suppose i(m) = 0. What is m?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 9738*o + 5816. Let x(l) = -6495*l - 3877. Let i(f) = -5*p(f) - 7*x(f). What is the derivative of i(d) wrt d?\nAnswer: -3225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*f - 24 + 24 to the form t*f + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k**2. Let n(u) = u. Calculate n(r(x)).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9, -8, 11\/6?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 1\/2, -3\/8098, -3\/7, -18.\nAnswer: -18, -2, -3\/7, -3\/8098, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 20 + 126)*(-3*z + 17*z + 24*z - 6*z).\nAnswer: 4416*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -954*u**3 + 52*u**2 - 106?\nAnswer: -5724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3112434 - 2?\nAnswer: 3112432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*v + 42. Let q = -111 + 208. Let y = 125 - q. What is the greatest common divisor of v and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13562*a**2*j*w**2 + 2*a**2*w**3 - 3*a**2*w - 5*a*w**3 + 22*j*w**3 + 26*j wrt a.\nAnswer: 27124*j*w**2 + 4*w**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 4150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2. Let s(b) = -3*b**2 - b - 1. Let v(c) = -880*c**2 - 6*c - 6. Let p(k) = -6*s(k) + v(k). Calculate p(o(l)).\nAnswer: -3448*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**3 + 3*a - 3. Let x = -101 + 106. Suppose 4*g = 3*z - 0*z + 3, -5*g + x = -4*z. Let o(d) = 6*d**3 + 5*d - 5. Calculate z*o(b) + 8*y(b).\nAnswer: 2*b**3 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f - 15. Let q be i(30). Let w = q - -227. Solve -4*u = -w*t + 2, u + 4 = 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 133\/63144 or 0?\nAnswer: 133\/63144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, u: 3, d: 1, z: 3, c: 2}. What is prob of picking 1 u, 2 z, and 1 h?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -100201?\nAnswer: 100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/215?\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -19 (b) -0.2 (c) -135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2891 - 2429. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 73153 = 4*k - 68447. Suppose 0 = -u + 3*u + k. What is u rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 159, 11\/3, -21, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182\/(-4)*(3 + (-35)\/5) is divided by 73?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.127?\nAnswer: -0.0508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5719757980 rounded to the nearest one hundred thousand?\nAnswer: -5719800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161847.\nAnswer: 3, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 691126 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5))**(-1))**10\/((v*(v*v**(-6\/5))\/v*v*v*(v\/(v*v\/v**(-4)*v))\/v)\/((v*v*(v\/(v*v*v*v**7)*v*v)\/v)\/(v*v\/(((v*v**8)\/v)\/v)))) assuming v is positive.\nAnswer: v**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1142 and 10.\nAnswer: 5710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12073713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -12877.29\nAnswer: 5150.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -10.99.\nAnswer: -11.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1196, -1199, -1200, -1199, -1196?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**2 + 6476*a + 6480 = 0. What is a?\nAnswer: -1, 1620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4303 is divided by 226.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s + 3. Let x(u) = -311*u - 12. Give -4*g(t) - x(t).\nAnswer: 303*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29\/15 + 8\/5. What is the fourth smallest value in 4\/3, -3\/13, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n - 2. Let i(j) = 11*j + 603. What is -i(c) - 4*m(c)?\nAnswer: c - 595","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 10507 = 5*d + 10532, 2*d - 6*b + 32 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/110)\/(6*(-18)\/(-540))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 237402*d**3 + 2*d**2 + 2*d - 183904 wrt d.\nAnswer: 1424412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2) + sqrt(6)\/sqrt(3))*4.\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*g + 578, 2*l + 36 = -5*g + 273. Let u = l - 156. Which is bigger: -41 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129874598 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llxfo. What is prob of sequence lx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117013*z**3 - 9*z**2 + 22*z - 107676 wrt z.\nAnswer: -702078*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -604.\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 14 - 10*x - 3*x + 44*x in the form b + v*x and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(2 + (1 - 2)). Let w be 3 + 2 - (-12 - -10). Suppose -w*o = -2*o - z. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 132*a**3 + 2*a**2 - 2*a + 1. Let d be s(1). Let m(g) = -5*g - 1. Let q be m(-4). What is the highest common divisor of d and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2287856 and 880.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*r - 1488 = 10*r - 34*r. What is the remainder when 319 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 - h**2 - 3*h - 2. Let m = -24 + 29. Suppose -31 + 41 = -m*z. Is 15 a factor of f(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 3, -697, -98 in increasing order.\nAnswer: -697, -98, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 444 + 0*g - 454 as v*g + m and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17688788, 17688809, 17688856, 17688941, 17689076, 17689273, 17689544, 17689901?\nAnswer: 17690356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 + -1.3. Which is the closest to u? (a) -0.3 (b) 0.5 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 + 4319*l\/5 + 864.\nAnswer: -(l - 4320)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 504 = 5*t. Let x be t - -4 - (-2 + 2). Is 68 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*v**2 - 17*v**2 - 253*v**3 + 390*v**3 to the form m + g*v + a*v**3 + b*v**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -0*l. Which is smaller: l or 1\/29?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 3*l + 1. Let d = -72 - 47. Let k = -115 - d. Suppose 0 = k*h + h, b - 2 = 4*h. Give c(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -3, 1001, -1 in descending order.\nAnswer: 1001, 3\/7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 = 1. Let b(p) = -5*p - 4. Let i be b(h). Let k(f) = -33*f**3. Let a be k(-1). Calculate the highest common factor of a and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/(11\/((-44)\/6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 124 - 199)*(2*t + t - 2*t).\nAnswer: -280*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k - 34*k = -110*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1950*s + 171616. Give r(88).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, -20\/127.\nAnswer: -4, -20\/127, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8297*o - 132723. Determine h(16).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1771, -1519, -1239, -931, -595?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 22?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 171.65.\nAnswer: 1544.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/520 and 22\/455?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 6101*b - 475732. Give l(79).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - -13. Suppose f*j = 21*j + 12. Solve -y = j*n - 2, 1 = -n - 3*y + 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.42 times -3?\nAnswer: -19.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 17*n**8\/336 + n**7\/3 - 37*n**6\/40 - 46*n**5\/15 - 5*n**4\/6 + 842*n**2. Let u(h) = 0. Calculate h.\nAnswer: -5, -1, -2\/17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1033301 - -31?\nAnswer: 1033332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*h = -4*h - 9, 0 = 3*h. Suppose 5*l - 5*v = 35, -3*l - 3*v = -2*l - 3. Solve 2*j - 18 = -2*w, l*j = 5*w + z*j - 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from uxuzucx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -245, -604, -1107?\nAnswer: -1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/4359180 and 28\/1261?\nAnswer: 56669340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 130 and -0.035.\nAnswer: 129.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + n**2)*(-114*n**2 - 67*n**2 - 34*n**2) - 5*n**4 + 2*n**4 + 5*n**4 as o*n**4 + l*n**3 + g*n**2 + t*n + m and give o.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnn. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 238*k - 48. Let b(u) = 239*u - 69. Give 2*b(p) - 3*g(p).\nAnswer: -236*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37, 116, 247, 430?\n\"Answer: 26*s**2 + s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -2*p**3\/45 + 14*p**2\/15 - 22*p\/5 + 45. Find r such that z(r) = 0.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**5 + 101*h**3 - 3*h - 6 wrt h?\nAnswer: -20*h**3 + 606*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/3)\/(-1 - (2 + -4)). Suppose -p + 15 = 5*t + 4*p, 14 = 3*t - m*p. Suppose 5 = t*s - 7. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13171288.\nAnswer: 2, 13, 89, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 25 = -z, -z - 2*z + 25 = -2*j. Suppose z*p + 3*y = 15, -7 = 5*p + 2*y - 17. Solve -r - 2*x + 6 = -p*r, 2*r + x - 9 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228806289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -6*i + 12. Let w = -70.7 - -71. What is the second biggest value in w, 1\/4, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 12. Let b(f) = -q + 2 - f - 4*f**2 + 1. Suppose -3*p - 3 + 0 = 0. What is b(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-100))\/(12\/(-140))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 2, v: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c - 1 + 1)*(1 + 2 - 4) - 17253 + 4*c + 7014 - 17676 + 5580 to the form n + u*c and give n.\nAnswer: -22335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514*q**2 + 1031*q**2 - 3*q**3 - 517*q**2 + 4*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13966, -14011, -14044, -14059, -14050, -14011, -13936?\nAnswer: -13819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(21)\/sqrt(112) + sqrt(3).\nAnswer: -2 + 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 1. Suppose 0 = z*q + 6 + 4. List the prime factors of -2 + (4\/2 - q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9157*1459.2\nAnswer: -2795.38944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.07044 and 4.\nAnswer: 1.92956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -562, -29, -4, 8 in descending order.\nAnswer: 8, -4, -29, -562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 5*j**2 + 3*j - 7. Suppose -4*c - 4 = -24. Let n be z(c). Solve 0 = -l - 5*h + 6, -4*h - n = -0*l + 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1088) + -1) + 1*(0 + sqrt(17)) + sqrt(170)\/sqrt(90) + 2)**2.\nAnswer: -248*sqrt(17) + 261473\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 344, -221?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37711 is divided by 4708?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(198\/(-12)) + 110\/6. Let r(f) = -f**3 + 19*f**2 + 4. Let j be r(i). What is the greatest common factor of 64 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31390*r**3 - 450712*r**3 - 69548*r**3.\nAnswer: -551650*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8100 - -8107.9949. Let i = -8 + v. What is i rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 6:00 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1275 = -24*t - t. Calculate the remainder when 99 is divided by t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + sqrt(1053)*-2 + sqrt(1053) - (5 + -3*(sqrt(1053) - (-1 + sqrt(1053)))))**2.\nAnswer: 54*sqrt(13) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2504847.\nAnswer: 3, 834949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 457409143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + 1. Let r(d) = -d**2. Determine 5*r(s) - v(s).\nAnswer: -7*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/21 - ((-794802)\/106736)\/(2\/(-16))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 932*b - 11332. Give x(12).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-46)\/(-4))\/(8 - 7) and ((-3)\/60)\/((-2)\/(-18)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -8.9. Let s = 1.4 - -2.1. Let x = s - 0.5. Put x, b, 1\/2 in increasing order.\nAnswer: b, 1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Let l(u) = 7500*u**3 + u**2 - 2*u. Let t be l(x). What is t rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 158*g**4 - 112*g**3 - 67566*g**2 wrt g?\nAnswer: 3792*g - 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 16*t + 19. Calculate y(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 7. Let d(f) = -28*f**2 + 4. Let q(b) = -195*b**2 + 27. Let s(l) = 27*d(l) - 4*q(l). Calculate s(x(c)).\nAnswer: 96*c**4 - 672*c**2 + 1176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 14*g - 18*g. Suppose -5*r + 5 = -g. What is the common denominator of 4\/(-60)*r\/(4\/95) and 95\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 5*d - 2. Let b(l) be the second derivative of l**3\/6 - 15*l**2\/2 - l. Suppose 3*j = 7*j - 44. Let r be b(j). Give u(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -997, -995, -993, -991, -989?\nAnswer: -987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24, -400, -1458, -3540, -6988, -12144, -19350, -28948?\n\"Answer: -57*y**3 + y**2 + 20*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 9:33 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6*l - 15*l - 9*l.\nAnswer: -18*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 0 (c) 4768 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h + 7. Let x(c) = 7*c**2 + c - 2. Let m be x(1). Let b(w) = 0 - m + w - 7*w. Calculate -6*b(r) - 5*l(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1183aa4 (base 11) to base 8\nAnswer: -7655621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 3*l**2 + 3*l. Suppose -3*t + 23 = 8. Suppose 0*r = -3*a - 2*r + 5, 5*r + 25 = t*a. Let i(w) = 2*w**2 + 2*w. What is a*i(k) - 2*y(k)?\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 79\/(1817\/46)*(-1)\/(-20)*-2. Let f = -2\/9 - -4\/99. Let l = -4298\/25 + 172. What is the biggest value in l, f, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26468071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 794437655 a multiple of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -2\/65, -2, 0.5?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*v + 2*v + 5*v)*(-3 - 6*v**2 + 3) + (-v**2 + v**2 + v**2)*(-1 + 1 - 2*v) in the form k + i*v**2 + f*v + m*v**3 and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 221 and 109018.\nAnswer: 1853306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35952 and 2200?\nAnswer: 9886800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 0*n + 0*n + (-3*n + 8*n + n)*(-1 + 3 - 3).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10352 divided by -215\nAnswer: -10352\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54*u**3 + 5*u - 428?\nAnswer: -162*u**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 16 = -4*i + 2, 2*r - i = 20. What is the greatest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 10*n**2 - 29*n + 5. Let f be m(-9). Suppose -325 = -3*v + f. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 7*j**2 + 10*j - 13. Let i be a(8). Let w = -4 + 6. Find the third derivative of w*p**4 - 9*p**4 + 4*p**2 - 3 + i wrt p.\nAnswer: -168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v - 20. Is 18 a factor of h(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 10*u - 4. Let f be s(2). Let a be 64\/30 - f\/120. Solve -z + a*z + 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 9 = -a, a - 5*r + 19 = 3*a. Let t = a + -14. What is the units digit of (15\/t)\/(1\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -303.00000161 + 303. What is f rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36654579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/3 + 1298*u**3 + 19436*u**2\/3 + 10360*u + 15536\/3 = 0 for u.\nAnswer: -1942, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 6*y**2 + 4*y - 5. Let d be w(-5). Suppose -2*p = 5*i, -5*i + d*p + 2*p = 0. Solve 2*h + 2 - 10 = i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 3\/11, -3\/2, 0, -751 in increasing order.\nAnswer: -751, -3\/2, 0, 0.09, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -6*v + 328. Let s = -59 + v. Solve -5*x - 6 = -s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.037*-0.1\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -227 + 230. Let p(q) = -q - 9. Let d(m) = m + 9. Let j be (-1)\/(-6)*2*(15 + -3). Determine b*d(h) + j*p(h).\nAnswer: -h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173976*b - 3*b**3 + 171913*b - 345889*b.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 876*(72 + 23355\/(-324))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 5*j + 10. What is n(-4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 4*i**2 + 176*i - 830. What is r(16)?\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.37 + 0.13. Let q = -25 + u. Let g = q - -2.3. Which is the third smallest value? (a) g (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(3 + ((-6)\/3 - -1)). Let z be (-4)\/(1 - p) + (0 - -372). Let x = z + -225. What is the remainder when x is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8591334*r**2 + 36138*r + 72276. Let t(y) = 951*y**2 - 4*y - 8. Let s(d) = -2*o(d) - 18069*t(d). Let j(z) = 2*z**2. What is s(j(n))?\nAnswer: -3804*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w = 7 - 31 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iclirickicci. What is prob of sequence rcl?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 823448280.\nAnswer: 823448280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/12*(-364)\/(-65))\/(((-160)\/12)\/5).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 18*i - 22*i + 10, 2*z = i - 16. Put -4, 10, i in descending order.\nAnswer: 10, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/8*r**4 - 3\/2*r - 9\/8*r**2 + 3\/4*r**3 + 3\/2.\nAnswer: 3*(r - 1)**2*(r + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1256723\/14545 + -7\/2909. Suppose 0*h - 172 = -2*h. Let o = h - d. Sort o, 5, 1\/4 in decreasing order.\nAnswer: 5, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.4 times 427\nAnswer: 4440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -313030 (base 5) to base 14\nAnswer: -3b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -768183.\nAnswer: 2304549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q - 38 = c, 0 = 4*c + 12. Let p(z) = -2*z + 10. Calculate p(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -739 = 961*u - 19959 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w - 9. Let l = -160 - -115. Let y be (4\/(-12))\/((-183)\/l - 4). Let k(u) = -3*u - 5. Let h(x) = 8*x + 1. Let a be h(1). Give a*k(t) + y*b(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*c - 107*c = -12*c - 5768 + 1894 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a year?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + -1 + sqrt(19) + 1 + 0)**2 + 5*(-2*sqrt(1900))**2.\nAnswer: 39539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5653227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 4010*u + 5798*u)*(-2*u**2 - 1 + 1)*(3 - u - 3 + (-3*u - 2*u + 6*u)*(-3 - 1 + 3)) in the form c*u**3 + o*u + z*u**2 + l*u**4 + r and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -1. Let s = -33 + p. Calculate the remainder when ((-8)\/s)\/(8\/(-3) - -3) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -36998*f - 40. Let g be o(20). Round g to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3330\/91 - 254\/7. Is x less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12804)\/(-485) - -2*(-1)\/5. Solve -f*a + 40 = 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 210\/84*(3 - 1). Solve 40*v = 45*v - o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f + 233*f - 35*f - 166*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10020220 - -1311?\nAnswer: 10022131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + -1 - sqrt(11) - (1 + sqrt(11) + -4))*3.\nAnswer: 6 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10121121022 - -11?\nAnswer: 10121121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (43 - (-14 + (19 - 14))).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2420137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 2 (b) 0 (c) 8 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 110633674 divided by 5\nAnswer: 110633674\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/722 and -17\/70756.\nAnswer: 70756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 7 - 11 + 12*o.\nAnswer: 18*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3683*t**3 - 942*t**2.\nAnswer: -22098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 20*q**4 - 6*q**3 + 5*q**2 + 5. Let x(b) = -21*b**4 + 6*b**3 - 6*b**2 - 6. Let u = -3 - -9. Let k(t) = u*v(t) + 5*x(t). Factor k(h).\nAnswer: 3*h**3*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0115 + 1.4805. Round j to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + p + 7. Let x(l) = -l**3 + 6*l**2 + 9*l - 14. Let f be x(7). Determine h(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 21*g**2 + 20*g + 9. Let u be b(20). Solve -6*k + k + u = -3*x, k + 5*x - 13 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*v = -21*v - 515225. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - 42) + 38 + 27 - 34\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-66)\/(-9)*(5 - (3 + -1)). Suppose -76 - z = -7*h. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41.794104 + 0.170604. Let o = y + -0.0765. Let b = o - -41.699833. What is b rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 455889958 and 8?\nAnswer: 1823559832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1456.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g - 2*g - 2*g - 2 + 2 + (-4 + 5 - 2)*(-3*g + g - 4*g))*(0 + 3 - 2).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -139 and 826.539.\nAnswer: -114888.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, -22, -1.1.\nAnswer: -22, -1.1, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 22288122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) + 22\/88. Solve b = -s - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**5 + 25*f**4 - 390*f**3 - 2900*f**2 - 6520*f - 4800 = 0. What is f?\nAnswer: -8, -3, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) -11 (b) -0.043 (c) 233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -1 - -40) + (25 - (37 - (-3 - -10)))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(4 - 1)\/6. Let c be (v - -1) + 1 + 0. Differentiate 0*o**4 + 0 + c - o**4 wrt o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26668*v**5 - 16*v**4 + v**2 - 16732*v + 381 wrt v?\nAnswer: 533360*v**3 - 192*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 6436939\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 11*f = 9*f + 23, 26 = 5*z - f. Solve z*g + 20 = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (491*w**2 - 245*w**2 - 76*w**4 - 247*w**2)*(-3*w + 0*w + 0*w).\nAnswer: 228*w**5 + 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 17. Solve s*a - 30 = 5*m, 4*m = m + a - 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -14*l. Let c(k) = -31 + 3*k + 31. What is c(r(w))?\nAnswer: -42*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -3\/8*u**4 - 3\/4*u**2 + 0*u + 101 - u**3. Solve q(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 3:54 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 791434139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19008 a multiple of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a + 14 + 1 - 4*a. Is r(15) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x - 18. Give j(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/103 - -85\/927. Suppose 0 = 18*y - 20*y. Which is greater: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2881 * 0.1\nAnswer: 0.02881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2562 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -33. Let v be (g - (-4)\/12)*90. Let d = -39 - v. Are d and 19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-5))\/(41\/(-20) + 2). What is the greatest common divisor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13990 by 1.\nAnswer: -13990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((98\/(-21))\/7)\/((-24)\/(-9))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1094 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k = 0. Suppose -5*o - 3*j - 1 = -j, 6 = -4*o + j. Let y be (-5 + 1)\/o*-1. What is the closest to k in y, 0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8494.049 millennia in decades?\nAnswer: 849404.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1091 from -0.1.\nAnswer: 1090.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18522702 divided by -93549?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -415493, -415481, -415463, -415439, -415409?\nAnswer: -415373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -370 + 451. Suppose 0 = 73*g - d*g + 1632. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -89, -140, -205, -290, -401, -544, -725?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2244.\nAnswer: 1\/2244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -9*u**4\/4 + 2*u**3\/3 + 41*u**2 + 2*u + 64. What is the second derivative of t(y) wrt y?\nAnswer: -54*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + sqrt(300) + -1))**2.\nAnswer: 40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - o**4 - 2*o**3 - 2 + o**4 + o**4 + 2*o**2 - 3*o**4 + 3*o**4 to v*o**2 + x*o**4 + f*o + c*o**3 + l and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 10*q**2 + 6*q - 1. What is the remainder when 101 is divided by v(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = 6. Suppose -v = x*v + 5. What is the common denominator of -101\/2 and 5\/(1050\/(-445)) + v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1224030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (625*-3)\/((-2)\/(-1408)). What is n rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -593639\/24 + 24735. Let u(c) be the third derivative of -35*c**2 + 0*c - 1\/60*c**5 + 0 + v*c**4 + 0*c**3. What is u(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124*b**3*o + 6*b**3 - 542*b**2*o + 21*b**2 + 264282195*b*o wrt b.\nAnswer: 744*b*o + 36*b - 1084*o + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.5673786 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 890 divided by 212?\nAnswer: 445\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146\/949*12\/108*18\/8.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 0 - 1 + 2*a - 11 + 9889*a**2.\nAnswer: 9889*a**2 + 2*a - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -3878059.\nAnswer: -4\/3878059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 9\/16*n**2 + 1 - 3\/8*n**4 + 3\/8*n + 0*n**3. Factor v(j).\nAnswer: -3*(j - 1)*(2*j + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 7*s**2 + 5*s + 6. Suppose 14 + 1 = -3*h. Let c be v(h). Let a = c + 4. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 10*t - 9. Let w be x(-9). Let l = w + 3. Suppose -2*s - 99 = -l*s. Calculate the highest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k + 12. Give c(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o = 225*o + 213 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/54 and (8762\/(-520) - -15) + 2\/(-24).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 2*y**6\/3 + 56*y**5\/5 - 11*y**4 - 1696*y**3\/3 + 1640*y**2 - 1600*y - 1048. Determine o, given that g(o) = 0.\nAnswer: -10, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36528441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = -4*q + 24. Suppose -2*n + 4 = -4*m, -m - 2*n + q = -2. Determine y, given that 1\/5*y**5 + 0*y**2 + 0*y + 4\/5*y**3 - 4\/5*y**4 + m = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*l + 1185 - 1469 = 315*l + 3401 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144 - -143.9. Sort l, -1\/3, -9\/16.\nAnswer: -9\/16, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133224 divided by 16653?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(19) + 2)**2 - sqrt(19)) + 3.\nAnswer: 11*sqrt(19) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 71118919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*10.2.\nAnswer: 193.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 12*d = 0. Suppose x - 1434 = -4*m - x, d = -3*m - 4*x + 1063. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 57211 and 11?\nAnswer: 629321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1167451 (base 10) to base 4\nAnswer: 10131001123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = a + 5*b, -4123 = -9*a - 5*b - 8257 + 4197 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13266954, -26533909, -39800864, -53067819, -66334774, -79601729?\nAnswer: -92868684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13629 and 100359?\nAnswer: 1103949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8061254*q + 6*q**3 - 8061254*q.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52756855 to the nearest integer?\nAnswer: 7263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3128? (a) 2 (b) 1 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and -49.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2113 (base 4) in base 6?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13 + 304\/(-24))*(280 + 20). Let g = 101 + -26. Calculate the highest common divisor of g and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/7))**41\/(w**12*w**(3\/2)) assuming w is positive.\nAnswer: w**(-271\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6*w = w + 11, -2*x - w - 9 = 0. Let s = -86 - -90. Put -3, x, 1, s in increasing order.\nAnswer: x, -3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, p: 9, s: 2}. Give prob of picking 1 s and 2 y.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 7*o + 6. Let d be b(6). Suppose 4*j + 20 = -d*j. Let z(k) = k**3 + 4*k**2 - 7*k + 2. List the prime factors of z(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/3474 and 97\/4.\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 47.6, -1\/3, -0.5, -4, 448?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l + 145. Suppose 451*j + 5066 = -6988 - 123. Calculate d(j).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*y - 6 + 2, 0 = -2*s + 3*y - 5. Suppose 2*l = -w + 9 - 3, -w + 18 = -2*l. Solve s*x + 2*x = -w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11149263744 + 0.3.\nAnswer: 11149263744.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*q - 7*q - 84, g = 4*q + 47. Let y = g - 6. Solve -5*p - 5*m + y = -m, 2*p = -2*m + 14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97024 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**3 + 12*h**3 + 8*h**3)*(-4*h - h + 2*h)*(-1 + 1 + 1) as s*h**2 + g*h**4 + y*h + c*h**3 + n and give g.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.789 rounded to 0 dps?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6578.34696 + 6307.349. Let o = f + 271. Round o to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 173\/362 + 4\/181. Which is the biggest value? (a) l (b) -5 (c) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -2*q - 0*q + 3, u + 4 = -5*q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 2899676?\nAnswer: -5799352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.832*-83167.\nAnswer: -401862.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - r**2 + r - 1. Let h(g) be the third derivative of g**6\/3 + 11*g**5\/15 - 11*g**4\/6 + 22*g**3\/3 - 2428*g**2. What is -2*h(k) - 88*j(k)?\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 5*u - 2. Suppose 2*y + 2*y + 3*j - 99 = 0, j = 5*y - 100. Suppose 0*i + y = 5*b - 2*i, 2*i - 3 = -3*b. Is c(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d - 10. Let s(t) = 83 - 39 - 33 + 4*t. Determine -6*i(l) - 5*s(l).\nAnswer: -2*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -957 + 2*g + 3*g - 332.\nAnswer: 5*g - 1289","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.1 (c) -0.092267 (d) 1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -207\/8? (a) -7 (b) 36 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289774, 287483, 285192, 282901, 280610, 278319?\nAnswer: 276028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 - 292*g\/9 + 290\/9.\nAnswer: 2*(g - 145)*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3235.608ms?\nAnswer: 0.00089878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-40)*(t*t**(9\/2)*t)\/t assuming t is positive.\nAnswer: t**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 2*m - 1. Let g(h) = -285*h**3 + 19*h**2 + 17*h - 7. Let l(v) = g(v) - 6*s(v). Is 6 a factor of l(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/7 and -27\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-250 + 632 + 906)*(-2*u**2 + 3*u**2 + u**2)*(-3*u + 7*u - 3*u).\nAnswer: 2576*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 101503 + -5?\nAnswer: 101476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 4850.95.\nAnswer: -485.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 864.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 6631 = 2375. Let j = 51 - 10. What is the remainder when z is divided by j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2876.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -14. What is the highest common factor of x and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*q - o + 36, -2*q + o - 28 = 0. Let v = q + 6. Let z = v + 20. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(675)*-2 - sqrt(54)\/(sqrt(8)\/sqrt(4)))\/((sqrt(45) - (4*sqrt(3645) + sqrt(3645)))\/sqrt(5)))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = w - 5*c, -19 = 12*w - 16*w + c. Solve -32*v - w = -33*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.21 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 233821, 467695, 701569, 935443, 1169317?\n\"Answer: 233874*x - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (98 - 89)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8 + 10*y**2 + 11 - y**3 - 7*y - 5*y - 17. Let u be b(6). What is the greatest common factor of u and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2567.02 at least as big as 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 - -104*6\/(-64). Factor o*y**2 + 3\/4*y - 1.\nAnswer: (y - 1)*(y + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4955881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a317 + 2d1?\nAnswer: -a026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/(2\/16) + 2\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 21 = 3*p, 16*d = 5*p + 19*d - 21. Solve v + p = c, 6*c - 16 = 2*v + 3*c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d. Let z(i) = -18*i. Let s(x) be the third derivative of -x**4\/24 - 2*x**2. Let w(l) = -15*s(l) + z(l). Calculate w(r(k)).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 107625528?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -0.4, 17.8, 1 in increasing order.\nAnswer: -3\/2, -0.4, 1, 17.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 1\/2*q**2 + 3*q + 32. What is the remainder when 57 is divided by p(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 10 = -6*w. Sort -1, w, -5, -79 in descending order.\nAnswer: -1, w, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -185560520 greater than -185560519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -229*t + 280*t - 1071 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 532 = -2*v + 107, 4*v + 136484 = 5*n + 136049 for n.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 834681316 and 644?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 19*i + 4*i - 20*i.\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/70 and 59\/28443400.\nAnswer: 199103800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 37 = -4*o, -5*o - 65 = -2*j. Solve 4*k = 14*k + j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 576 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 714542.2 * -0.173.\nAnswer: -123615.8006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.176 - 32.104359679.\nAnswer: -31.928359679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 45*a**3 + 133*a**2 + 84*a - 4 = 0.\nAnswer: -2, -1, 2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 592*t + 784. Let s(f) = 16*f + 21. Let o(z) = 112*s(z) - 3*w(z). Let x(u) = -81*u. What is -21*o(h) - 4*x(h)?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 2*k + k + 0 + 0 - k + (-2 + 4 + 0)*(0*k + k - 2*k) + 2*k + 0*k + 4*k + 3*k - 2*k - 2*k + (-3*k + 4*k + 0*k)*(-1 - 8 + 8).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*s - 3*s - s)*(-148 + 12*s + 8*s + 147) in the form w*s + o*s**2 + i and give o.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7663 > -7662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(39)\/sqrt(3) + sqrt(637) + 2 + -4 + (4 + sqrt(26)\/sqrt(2) - sqrt(13))**2.\nAnswer: sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(-3\/4) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/4362292 and 65\/1628.\nAnswer: 161404804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -109a (base 12) in base 6?\nAnswer: -12314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhwhhhuwohwuuuu. What is prob of picking 3 w and 1 h?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-20)*-4*(-80)\/128. Which is the third biggest value? (a) x (b) 1 (c) 11 (d) -15 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38559 - 80926*b - 38559.\nAnswer: -80926*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95912 is divided by 333.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441 + 153 = 4*z. What is the common denominator of 57\/2 and ((-1)\/8)\/(10\/z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j**2 + 8*j + 6. Let u(m) = -8*m**2 - 7*m - 5. Give -6*u(x) - 5*y(x).\nAnswer: 3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1547585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*u = 90 - 154 - 1501 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-44801)\/(-71) - 0\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 295 + -142. Suppose 154 = 2*w + z, 4*w = z + 155 + i. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*m - 8, 2*u + 6*m + 29 = m. Let k be (1\/u)\/((-1)\/6). Solve 5*i + 4*p - 15 = 9, k*i + 2*p = 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q + 19. Let o be k(-5). Which is the smallest value? (a) -14 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 365 or -598909?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2612 (base 11) to base 8\nAnswer: 6511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 60?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34956.\nAnswer: 2, 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 2*z - 1\/3*z**3 + 0 + z**2. Differentiate h(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419 - 15850 = 440*l + 3942 + 4429 for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 44, i - 253 = 4*b - 581 + 244 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -266.591317 and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5558921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= 386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -357181*u**5 - u**2*w**2 - u*w**2 + 15*u*w + 4*w**2 + 8*w wrt u?\nAnswer: -7143620*u**3 - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53.7 + -46. Let g = x - -2.4. Round g to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.97 + -0.03. Let u = 0.3 + 6.7. Let t = o + u. Which is greater: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from {z: 1, q: 1, f: 2, h: 1, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**3\/3 + 5*h**2 - 8*h + 34. Calculate m(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -2, 0.8, -3, -5.\nAnswer: -5, -3, -2, -5\/3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/9922 and 7\/902.\nAnswer: 9922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123 - 124.4. Let z = s + 1.5. Which is the nearest to z? (a) 0.3 (b) -5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/63)\/((-8)\/(-21))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4841.837 and -0.03?\nAnswer: 145.25511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 21*w**2 - 45*w - 8. Let x be b(23). Solve -c = 2*c - x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 4:28 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 249773*v**2 - 202*v + 606. Let q(t) = 3728*t**2 - 3*t + 9. Let o(x) = 3*n(x) - 202*q(x). Let k(b) = b. Determine o(k(w)).\nAnswer: -3737*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 4*h + 16, -13*w + 20 = -15*w - 5*h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1794 and 36.\nAnswer: 10764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10*q + 20 = 0. Let u be -1*2\/q*0. Find the second derivative of 6*s**3 + 10*s - s**3 + 12*s**3 + u*s**3 wrt s.\nAnswer: 102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 4*u = -12*i + 5, -15 = 3*i - 3*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/185 and 33\/95.\nAnswer: 3515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48285 is divided by 201.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-8))\/((-2)\/4). Let b = -0.521 + -0.179. Let z = 16 - 46\/3. Sort y, z, b.\nAnswer: y, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 3 = -9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 39155573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(4*c**3 - 4*c**3 + 2*c**3) - 5*c**3 - 10 + 6*c**3 - 5.\nAnswer: 3*c**3 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49\/(539\/(-22)))\/19.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + x + 3 = -1, 0 = 2*g - 2*x. Let f be ((-69)\/g)\/(1\/2). Let i = f + -39. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = -21. Let b(f) = -f**3 - 3*f**2 + 4*f + 1. Let r be b(-3). Let h = -6 - r. Calculate the lowest common multiple of h and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - -3) + -19 - -7 - (14 + 97).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1. Let h(q) = 34*q - 204. Let z(m) = h(m) + 204*v(m). Let f(l) = l**2. Determine f(z(d)).\nAnswer: 1156*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = 3*j - 30*q + 14*q, -3*q + 89 = -5*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 - 3*g**4 + 3*g**4 + (0*g**2 + g**2 + g**2)*(2*g**2 - 4*g**2 + 4*g**2) - 55*g**4 + 42*g - 42*g.\nAnswer: -52*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 4:16 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1477 + 2369. Suppose 2*y = 5*d - 108 + s, -5*d = -y + 382. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 450.0405g?\nAnswer: 0.4500405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (60 - (-31678)\/(-517)) + (-1754)\/22?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.110822776 to 5 decimal places.\nAnswer: 0.11082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17148 - 971.18.\nAnswer: 16176.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -a + 5*y, 5*a - 64 = a + 3*y. Suppose -o - a = 10. Is ((-13)\/o)\/(1\/38) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27499426 or -27499479?\nAnswer: -27499426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + v + 6. Let n be z(-3). Suppose 3*o - 18 = 3*p, 2*p = -o + 5*p + n. Suppose 81 = o*s + 6. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7363 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyybbybbbby. Give prob of picking 1 y and 1 b.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -16. Let z(g) = g + 3. Let t = -7 - -1. Let x be z(t). Put x, 1, v in descending order.\nAnswer: v, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Suppose -32 = -j*p + 2*p. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 15 = z + 4*t, 4*z + 3*t = -20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeb when three letters picked without replacement from bee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 87*z**4\/4 - 3189*z**3 - 4905*z**2\/4 + 3969*z\/2 = 0. What is z?\nAnswer: -1, 0, 18\/29, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(245))*-4)**2.\nAnswer: -448*sqrt(5) + 3984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -219.9 - -225.9. Let w = -23\/2 - -11. Which is the fourth biggest value? (a) -4 (b) w (c) -7 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 972.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9*(-1*2 - -1). Suppose 2*z = -0*z + 10. Calculate the common denominator of 1\/z*(k + -2) and -79\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13769195, 27538336, 41307463, 55076570, 68845651?\n\"Answer: -k**3 - k**2 + 13769151*k + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -3 + (327840 - ((-8)\/(-4) + -1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -28 - (14 + -1) - (6 - 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a6 (base 14) to base 5\nAnswer: -1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 2:12 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 3. Let s be b(0). Sort 4, s, -5 in decreasing order.\nAnswer: 4, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -4*t**3\/3 + 2*t**2 + 3*t - 45. Let f(a) = 11*a**2 - 11*a - 8. Suppose 0 = 3*w + 2*w - 40. Calculate w*j(x) + 3*f(x).\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -486 - -684. What is the highest common divisor of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -425014 - 2?\nAnswer: -425020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 226916971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 64, 99, 140, 187, 240?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009336 to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17670 and 324.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 4:27 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 397, 821, 1245, 1669, 2093, 2517?\nAnswer: 2941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 2241946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1116)\/3*(114 - 115) is divided by 183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 12*v**3 - 4*v**2 + 21*v + 5. Let d be j(7). Suppose -33*a - d = -41*a. List the prime factors of a.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1 = 3. Let g be ((-28)\/12)\/(f\/(-3)). Suppose 0*h + 3 = -3*h, 2*q = h + g. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + -3*(sqrt(2299) + (sqrt(2299) - 5*sqrt(2299)) + sqrt(2299)))**2.\nAnswer: -82768 + 264*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/202 and 101\/12.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -6072161 <= -6072176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 46911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -54. Let k be -1*1*w\/64. What is the smallest value in k, 1\/2, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21711 + 3*t + 22655 - 12465 + 660.\nAnswer: 3*t + 32561","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2086, -1\/8, 0.3, 1\/22?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146 - 144. Solve 2*r + 14 = 2*s, -j*r = -2*s + s + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1145.975um?\nAnswer: 0.1145975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*15.52.\nAnswer: -46.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**2 + 11581764*s - 34745328 = 0. What is s?\nAnswer: -2895444, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*q - 275 = 2*i, 4*i - 86 = 2*q. Find the common denominator of (0 - q\/4)\/(2\/4) and 17\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3156\/7 + -19685\/42. What is the common denominator of v and (-13 - (-4188)\/330 - (-6)\/15)*39?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**3\/3 - 9*s**2\/2 - 11*s + 61. What is a(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3585663g?\nAnswer: 358566300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -149*d**5 + 2*d**4 - 4100*d**3 - 33158881*d**2.\nAnswer: -8940*d**2 + 48*d - 24600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1570 - 7848\/5. Let q be -2 + (3 - (-1 - 0)). Put q, m, 0.5, -0.09 in increasing order.\nAnswer: -0.09, m, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 187 = -2*c, 182 = 2*n + 2*c + 60. Let p = -129\/2 + n. Let g = -0.2 - -0.3. What is the closest to p in g, 4, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*f + 4360 - 2368 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millisecond in microseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 841.735 nanoseconds to seconds.\nAnswer: 0.000000841735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -153)\/(84 + -13 + -68)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10643445 (base 8) to base 2\nAnswer: 1000110100011100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26626656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 6*b - 168 = 0, 0 = -4*f + 4*b - 44495 + 44395 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0507 - -0.050697855. Round s to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -3. Suppose t*l + 20 = 8*l. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1916903057?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -13. What is the biggest value in 1\/3, 4\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-198))\/((-2)\/(-22)) + -17?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3234323154 minus -36.8?\nAnswer: -3234323117.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588723 is divided by 294170.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001000001110011 (base 2) in base 11?\nAnswer: -25868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2962.4 - -2962. What is the closest to -0.3 in 2, 8.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 20*p**2 - 211*p + 187*p + 24*p.\nAnswer: 20*p**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 36 = -0*b. What is the smallest common multiple of (36\/(-8) - -4)*(-1 - 5) and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 2*l**2 - 10*l + 22. Let r be d(-7). Suppose 0 = 5*m - 3370 + r. List the prime factors of m.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -46822, -93625, -140416, -187189, -233938, -280657, -327340, -373981?\n\"Answer: d**3 - 46810*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddrd when four letters picked without replacement from dwdrwwd.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.6, 2, 12, -201 in decreasing order.\nAnswer: 12, 2, -0.5, -0.6, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 15*s**3 - 2*s + 18. Let z(j) = j**3 + j. Suppose -5*c = -0*c + 5. Let m(i) = c*b(i) - 2*z(i). Find the first derivative of m(k) wrt k.\nAnswer: -51*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w + w - w**3 + 12 + 2*w + 2*w. Let u be x(0). Let h be (-9959)\/6 - 2\/u. Round h to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -a - 46. Let q = a + 107. Calculate the remainder when q is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119310 and 3395?\nAnswer: 835170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 28*u + 149. Let f be z(21). Solve -10 = -f*a - 4*i, -5*a = 5*i - 23 + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121\/14 + 17\/2. Let o = y - -33\/7. Factor 0 - o*g - 2\/7*g**3 - 16\/7*g**2.\nAnswer: -2*g*(g + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 158937, 158938, 158939, 158940, 158941, 158942?\n\"Answer: n + 158936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (147*j - 1049 + 1049)*(-57 + 23 - 98).\nAnswer: -19404*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c*c**(-4)*c)\/c*c)\/c))\/(c*c\/c**(3\/8))*c**(-1)\/(c**(-7)*c)*((c*c\/c**(2\/7)*c)\/(c*c**0))\/((c*c**(1\/4))\/(c**(-2\/7)*c)) assuming c is positive.\nAnswer: c**(479\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 20 = 2*g - 5*d, 2*g = 2*d. Let y be (2 - (-3)\/(-2))*-18. Sort y, 3, g in increasing order.\nAnswer: y, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2 = 3*s - 2*s, 6 = t + s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 83*t - 164. Let r be b(2). Suppose 12*g - 7*g + 42 = r*j, j = -2*g + 30. What is the remainder when 330 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**3 - 9458916*k**2 + 18917804*k + 28376724 = 0.\nAnswer: -1, 3, 2364727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00092675322 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*g - 1. Suppose g*q = 70 - 322. Find the common denominator of 57\/16 and ((-28)\/q)\/((-12)\/(-62)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12253328 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**2 + 328296*g*k + 1304924*k wrt g.\nAnswer: -4*g + 328296*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6167766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(0 - (-3)\/(-30)). Let t be ((-2)\/4)\/(1\/v). Suppose 4*x - 252 = -t*i, -2*x - 4*i + 7*i = -104. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d + 13. Is w(-25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -5) + -64 + 66\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37873\/21 - -1803. Which is bigger: -1\/3 or n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 189 = -2*x. Let t be (-26)\/x - (-38)\/14. Solve 0 = t*b - 3 - 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30667124 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 8:09 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-960)*-85 + (-10)\/8?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 25*x**2 - 2*x + 1. Let q be v(1). Calculate the greatest common divisor of 16 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5306492 at most as big as -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -886, -1787, -2684, -3577, -4466?\nAnswer: -5351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10029*u**3 - 657*u**2 - 249396350 wrt u?\nAnswer: -30087*u**2 - 1314*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23783000 and 2380?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0053252 less than or equal to 347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468945289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2)*48\/(-396). Let k = -172\/51 + 46\/17. Which is the closest to -6? (a) v (b) -3 (c) 0.2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3183 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11781*a**3*q*v - 3*a**3*q + 145*q*v - q + 134*v wrt a?\nAnswer: -35343*a**2*q*v - 9*a**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.3 - -6. Let n be ((-2)\/5)\/(6921\/45). Let x = n - 9218\/3845. Which is the third biggest value? (a) d (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14119\/9206035 + -6\/3191. Is o greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*w + 178 - 38. Suppose -28*r + 30*r = -w*a + 2429, -1945 = -4*a - r. What are the prime factors of a?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 99.85 (b) -5 (c) 60 (d) -0.2 (e) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (3 - 6)\/((-2)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273, -547, -821, -1095, -1369, -1643?\nAnswer: -1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 + 3 - 3 + (1 - 1 - i)*(-428*i**3 + 428*i**3 - 50*i**4) - i**5 + i**4 - i**4.\nAnswer: 51*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*o**2 + 305*o\/2 + 25.\nAnswer: -5*(2*o - 5)*(13*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0 - 2) + (112 - 102).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10830 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858 (base 11) to base 9.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 7\/5)\/(45\/(-150)). Solve 4*h = 2*q + x, -4*h - 27 = 4*q + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 207928 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -5*w + 4*q, -w - 3*q - 21 = 4*w. Let d(m) = 2*m**2 - 37. Let a be d(w). Solve 2*b - 29 = -a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 108 + 20. Let y(c) = w*c - 3530 + 3530. Let t(i) = -3*i**2. Calculate t(y(f)).\nAnswer: -363*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 36 + 78 = 0. What is the lowest common multiple of u and 322?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from nnnxzpnnj.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + -17 + 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100000101100 - 10100001110?\nAnswer: 11001100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffvwfnfnncnwnncnw. What is prob of sequence nw?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-14))\/(2968\/(-457072))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 20 = 0, 731 = 4*y + 4*h - 465. List the prime factors of y.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568722439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 3*f + 16. Determine p(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -564\/11 (b) -1\/4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 198330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {c: 9, j: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6614.8 - 6614.39991. Let d = y + -0.4. Round d to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 4. Let w be (6 - -18)*(-5)\/g. Let k = 13 + -1. What is the highest common factor of w and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 51, 755, 1927, 3567, 5675, 8251?\n\"Answer: 234*d**2 + 2*d - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 180*l**2 - 219*l + 3345. Calculate r(91).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b = -15. Suppose -k = -g - 3, b*k - 5 = -2*g + 10. Let d(z) = -z - 3. Determine d(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**6\/75 - q**5\/75 - q**4\/30 + 2*q**3\/45 + q. Solve m(u) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26241023129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 + 11631*y**3 + 2669520*y**2.\nAnswer: 3*y**2*(y + 245)*(y + 3632)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {u: 2, z: 2, c: 8, x: 1}.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 * 8.88.\nAnswer: -1.1544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and 52188785.\nAnswer: 5740766.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41206 - -76632. Let h = c - 15445747\/436. Let d = 23685\/3052 - h. Calculate the common denominator of -65\/22 and d.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k = -135*k + 77 + 34 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2322 + -540?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1113197 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -3*g + 6, -5*j + 21 = 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 2880.11.\nAnswer: -2885.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 14026*s - 139518. Determine k(10).\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 + 140 + 10 + 39 + 0?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(33)\/sqrt(48) + -3).\nAnswer: -12 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/4*140\/14. Let y be 4 + (j - 3)*2. Let k = y - -123. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519575 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: Expand (-2 + 2 - 2*j**3)*(-7*j + 7*j - 12*j**2 + 1).\nAnswer: 24*j**5 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18113.38*-1.\nAnswer: -18113.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -6\/5*t**5 + 0 + 10\/3*t**4 + 0*t**2 + 0*t**3 + 1\/15*t**6 - 96*t. Find a, given that k(a) = 0.\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-10)\/(-4)*(-54)\/(-45).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, x: 8}. What is prob of picking 2 x?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t + 17*t + 19*t + 25*t + 26*t - 130*t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -13921 - 13914 + 32*r**2 - 26*r - 7*r**2 + 27846. Let x(a) = 5*a**2 - 5*a + 2. Determine 2*q(j) - 11*x(j).\nAnswer: -5*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5676 is divided by 400.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(280) - sqrt(280))\/sqrt(5) + sqrt(616)\/(-1*sqrt(11)))\/((1*sqrt(72))\/sqrt(9) + (sqrt(8) - 3*sqrt(8)*1)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.917408 years?\nAnswer: 0.09917408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -115306?\nAnswer: 115311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/7 bigger than 1054045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-7))\/(m*m*(m*m**(-6\/7)\/m)\/m))\/(m**21\/(m**(2\/7)*m)) assuming m is positive.\nAnswer: m**(-76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -743.\nAnswer: -2\/743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t - 5*t**2 + 3*t - 5*t + 6*t**2 - 1. Let v be z(-4). Let u(m) = m + 12. Calculate u(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d - 4*d)*(0 - 5 + 2)*(-283 + 106 + 97).\nAnswer: -480*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*p = -8, l = 3*p + 2*p - 3. Suppose -3*a + 6*x - 5*x = -60, 2*a - 48 = -l*x. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*c**2 - 221*c - 33*c**2 + 141*c**2 + 1 - 33*c**2 - 40*c**2 as y*c**2 + n*c + i and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26904585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 32692 = -47*y + 50*y, -5*y - 65362 = -4*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2, -0.1, 5\/4, 1\/3 in descending order.\nAnswer: 5\/4, 1\/3, -0.1, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*t = -91*t + 4*z - 193 + 55, -4*z + 132 = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 550 - 2*a + 121*a + 179*a + 63*a + 73*a wrt a.\nAnswer: 434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 8:15 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 775045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1052 + 1474 - 1355)*(3*y - 3*y + y).\nAnswer: 1171*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(4*b + 2*b + b)*(b**3 + 0*b**2 + 0*b**2).\nAnswer: -14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/((-585)\/26*(-3)\/(-5)). Let n = 9 + -13. Let q be -2 + 2 - (n + 2). Is q greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23811 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2143 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1191179\/80 + -14889. Let z = 5879\/3472 - 5\/868. Calculate the common denominator of l and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 6:51 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, -4\/7, -0.5, -1.4, 5, -0.447?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(84)\/(-1*sqrt(192)) - (-3*sqrt(84)*-1 + sqrt(84))\/(-2*sqrt(300)).\nAnswer: 3*sqrt(7)\/20 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 127*c - 255. Let h be r(-2). Solve 3*b - h*w = 0, 5*w = 3*b - b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469 - 469 - 65*a**3 + 68*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or -97850692?\nAnswer: -97850692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*c + 7445472 = 57*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/873 and 113\/12726?\nAnswer: 1234422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1088) + 1)*2 - (sqrt(1088) + 0 + 3)) + -3 + 1)**2*2.\nAnswer: -96*sqrt(17) + 2194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 569346250 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -598.85 rounded to the nearest 10?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3449 take away -38?\nAnswer: 3487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -334.02145 - -334. What is y rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 969956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 705189979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 7 - f + 4*f**2 - 4*f + 4*f**2. Suppose 8*a = -u + 61, -38 = -2*a - 2*a - 2*u. Determine b(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 564 + -566. Calculate the remainder when (p + 0\/(-6))*-79 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -5*d - 9*k, 0 = 4*d - 5*k + 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 16) to base 15.\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**10\/60480 - q**8\/6720 + q**6\/1440 - q**4\/12 + 3*q. Let f(x) be the third derivative of m(x). Factor f(c).\nAnswer: c*(c - 1)**2*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24576 is divided by 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/48 and -5\/22784.\nAnswer: 68352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*d - 16*d + 2*d - 80 in the form j + f*d and give j.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155795.\nAnswer: 5, 31159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-12)\/(k*k**(-3\/11)) assuming k is positive.\nAnswer: k**(-140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -55*-9.726\nAnswer: 534.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-220)*968\/(-88))\/(1\/(-5))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7148455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5*d*d**(-5))**(14\/13) assuming d is positive.\nAnswer: d**(14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3084*y**3 - 49312492*y**2 + 49312492*y**2 - 193 wrt y.\nAnswer: 9252*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39518.698 to the nearest 100.\nAnswer: -39500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 587625735 a multiple of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 1:58 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**4 + 6*m**2 + 3*m - 5*m**4 - 5*m**2 in the form v*m**4 + j*m**2 + b + i*m**3 + q*m and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7898519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158 + 167. Suppose -3*a - 30 + i = 0. Let c(v) = -2*v - 10. What is c(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2587073 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4753333 divided by 3?\nAnswer: -4753333\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/2)*l*l\/((l\/(l**(-5)\/l))\/l*l))\/(l\/(l*l**(6\/11)*l)*l**(-4\/7))*((l\/((l*l*l**(2\/27)*l)\/l)*l)\/l*l*l\/l**(1\/7)*l)**(1\/12) assuming l is positive.\nAnswer: l**(-55747\/24948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyhychhychhcyh. Give prob of picking 2 h.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/375 and ((-663)\/390)\/(8\/(-3))?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9742 - 890?\nAnswer: 8962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2. Let s(l) = -l**2 + 363570. What is s(o(w))?\nAnswer: -9*w**4 + 363570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, s: 5, d: 2}. Give prob of sequence dsd.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 87580, 175159, 262738?\n\"Answer: 87579*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -6893, 17 in ascending order.\nAnswer: -6893, 17, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/5)\/(-4*(-13)\/(-130)). Is 7\/316 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 6*j**2 + 7*j - 58. Let d be g(5). Suppose -d*q + 1101 = 4*h - 187, 0 = -4*q. What is the greatest common divisor of h and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7822299 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2698*b**3*q**3 + 60*b**2*q**3 + 504988*q**3 wrt b?\nAnswer: 8094*b**2*q**3 + 120*b*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85369.871124 take away 6?\nAnswer: 85363.871124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + 11*m + 6*m - 22*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.895\nAnswer: -0.0895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1 - 3*i + 2*i + 2*i - 2. Let t(c) = 1. Let f(w) = -1. Let n(a) = -2*f(a) - t(a). Determine 2*n(k) + v(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 5. Does 14 divide (0 - x)*56\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 + -111011000?\nAnswer: -111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2506876222 + -1.56?\nAnswer: 2506876220.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19014.63ng to grams.\nAnswer: 0.00001901463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 14*v - 7. Let z be 7\/35 + (-19)\/(-5). Let h(f) = 3*f - 5. Calculate the least common multiple of s(1) and h(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + -106 + -12 + 20.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1, 12069, 6, -3 in decreasing order.\nAnswer: 12069, 6, 5, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 338.114 decades to months.\nAnswer: 40573.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 19*x**5\/60 + x**4\/12 + x**3\/6 + 62*x**2. What is m(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 11. Let s be 2\/(-6) - 4\/x. Let z(v) = v**3 + v + 1. Let l be z(s). Solve 5*c + 4*a = -l + 6, -3*c + 5*a + 40 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 21*a**2 - 22*a + 38. Let y be g(-20). What is the highest common divisor of 351 and y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*6\/(-16))\/(6\/(-1368)). Suppose 4*k = -5*k + f. What is the remainder when 36 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 94 - -1?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n - 186. Suppose 5*k = 12 + 8, -3*k - 158 = -5*a. Let l be i(a). Is 53 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-255*h + 9*h**3 + 255*h)*(2*h - 4 + 4).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z + 40. Let g be i(-14). Let l(p) = -2*p**3 - 2*p**2 - 2*p - 2. What is l(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*h = -3*h - 4, 2*h + 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6493 + 3543 - 4*t + 3206 to the form c*t + n and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -216 + 353. Suppose -g + 22 = -5*d. Find the common denominator of d and 1\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2. Let t(r) be the third derivative of -4*r**5\/15 - 17*r**2. Give t(i(s)).\nAnswer: -64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 8.\nAnswer: 2*(n - 2)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*c**2 + 86*c**2 + 3*c**3 - 27*c**2 - 29*c**2.\nAnswer: 3*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 6*n + 12. Suppose n*x + 5*k = 1003, -478 - 868 = -4*x + 2*k. Suppose 0 = -3*j + 12 - 0, -a - 4*j + x = 0. Round a to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*s + 675*s = 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five quarters of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkpmpqqqemqppku. Give prob of sequence qp.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*b - 0*b - 2*q, 2*b + q = 6. Suppose 0 = 52*i - 28*i + 144. Let m be i\/(-5)*375\/75. Solve -2*z - b = m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**2\/2 + o - 23. Suppose 3*d - 2*m + 13 = 0, 0 = -d + 4*d + 2*m + 5. Determine i(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1516 - -1526. Let b(t) be the first derivative of -8 + 5*t**2 + 1\/4*t**4 + j*t + 10\/3*t**3. What is b(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - ((-5)\/(15\/(-6)) - -2). Let b be (((-2)\/3)\/(n\/9))\/2. What is the tens digit of (7224\/49)\/1 - b\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**5 - 9278*p**4 - 125145*p**3 + 204552*p**2 + 165780*p = 0.\nAnswer: -1842, -15, -3\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 4*z + 64, -311*t - 12 = -308*t + z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -3 (c) -27 (d) 0.3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 30 = -3*d, 3*z - d + 3*d - 19 = 0. Let p = 7 + z. Calculate the lowest common multiple of 1 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8084 + 8619. What is the remainder when r is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12256 + 12314. What is the remainder when 520 - (-2)\/(2*1) is divided by s?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000408703 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2. Suppose -4*g + 3 = -5. Let a(m) = -m**g + 11 - 11 + 4*m**2. Give a(k(r)).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 305, 457, 609, 761?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 6 = d. Solve 6*z - 8 = -d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45107 - 24742. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4655*w + 127731 = 350424 + 145052 for w.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k + 21 = -38*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 29\/((-2175)\/(-50))*1\/2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*c**2 + 48392*c\/15 - 66304\/15 = 0. What is c?\nAnswer: -148, 224\/165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3007?\nAnswer: 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - c + 8. Let x = 18 + -18. Calculate v(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.1555 rounded to 0 dps?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s + 20. Determine y(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -68*u + 77*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3586 + 3790. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 626 + 625 + 39*o - 1870 + 619 as c + g*o and give g.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from sggxewejwxsg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -17*l**3\/2 + 8*l**2 + 11*l. Let s be x(5). Let c = -127 - s. Calculate the highest common factor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55268.41 minutes to milliseconds.\nAnswer: 3316104600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 504502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 113?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 64845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.361 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((2*sqrt(14))\/sqrt(7) + -2*sqrt(2)*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, q: 5, a: 4}. Give prob of picking 1 a and 1 q.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -109*n**2\/2 - 26. Let o(c) = -2*c. What is o(d(v))?\nAnswer: 218*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 smaller than 413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 19*v. Let t(m) = -4*m**2 + 3. What is a(t(s))?\nAnswer: -76*s**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (7 + -4 - -1) + (-22 - -32) - 44?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((0 - 5) + 1 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*s**2 + 5408104*s - 21632864 = 0. Calculate s.\nAnswer: -1352054\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6) + 147\/90)*(220 + -223). What is the third biggest value in 3\/4, 0.2, l, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460, 916, 1372, 1828?\nAnswer: 2284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 9*r - 13. Let a = -394 - -404. Give v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 339.41 + -338.41. Suppose 0 = 2*h + 4, 0*w = 3*w + 5*h + 13. Let x be (0 - w) + 45\/(-33). Is x greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13.16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 63406142984\nAnswer: -63406142986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/12 - 1093*q\/4 + 6542\/3.\nAnswer: (q - 3271)*(q - 8)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 239 + -237. What are the prime factors of 12992\/(-21)*(-1 - p)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 278 + -287 + (24 - -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 + 2*j**4 - 7*j**4 + (3 - j - 3)*(2 + j**3 - 2) - 3*j**4 + 7*j**4 - 23*j**4 + (-2*j**3 - 2*j**3 + 5*j**3)*(2*j + j - j).\nAnswer: -24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 9*g = 8*g - 9867, 4*g = 2*b - 3954. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153 by -18.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*r - 21*r - 40*r + 15*r - 21*r - 15*r.\nAnswer: -136*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -11440 (b) -3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Let m be (-1)\/(-3) + 70\/6. Suppose m = o + 10. Solve 5*g - x*g + o = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-13)*n\/(n*(n*n**(-1\/16)\/n*n)\/n*n))\/(n**8*n**(-1\/31)\/n) assuming n is positive.\nAnswer: n**(-10369\/496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 494.1 - 490. Let r = o + -4. Is r at most -2\/759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 24 = -0. Suppose k + 65 = t, t = y*t - k - 341. Calculate the remainder when t is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 12:37 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/(1\/(-2)*(22 + -28)). Let n = 9 + h. Let w(o) = -2*o - 8. Let i be w(-6). Which is the nearest to -2\/13? (a) -0.5 (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -25048*k**2 + 253*k + 11. Let z(q) = 5010*q**2 - 46*q - 2. Let b(u) = 2*v(u) + 11*z(u). Let x(y) = 2*y**2. Give x(b(w)).\nAnswer: 50280392*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -1, 88, 3\/5, -2\/367, 4, -18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40 - 0)*(-78)\/12. Suppose 0 = 5*n - 185 - a. Let f = 168 - n. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*p**4 - 9*p**3 + 30*p**4 + 9*p**3 + (-2*p + 2*p - 2*p)*(p**2 - 2*p**3 - p**2).\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 - 5) + 14\/((-168)\/(-10524))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p - 17 + 101. Let o(i) be the second derivative of 0*i**2 - 1\/7*i**3 - 4*i - 1\/70*i**p + 1\/28*i**4 + 0 + 3\/70*i**5. Factor o(a).\nAnswer: -3*a*(a - 2)*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33323232 (base 4) to base 14.\nAnswer: 19ad8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -560*u**5 + 1067*u**5 + 966*u**5 + 8331*u**2 wrt u?\nAnswer: 88380*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 + 114*l**3 + 116*l**2.\nAnswer: -2*l**2*(l - 58)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 251 = -4*n, 4 = 2*n - 6*n. Suppose -4*q - x = -9*q. Let a(l) = -37*l + 2. Let c be a(-5). Calculate the greatest common factor of q and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7023308581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/8 of a milligram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/3))**(-1\/40)*p**1*p\/(p\/p**7) assuming p is positive.\nAnswer: p**(239\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l - 6*l = 0. Let y be 8 - (l - (2 + 3)). Solve -17*c - 12 = -y*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7, 18, 25, 28?\n\"Answer: -2*m**2 + 17*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**4\/4 + 4*k**3\/3 - 2*k**2 - 7*k + 55. What is the second derivative of w(y) wrt y?\nAnswer: 6*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 19*n + 63. Let u be i(-15). Find the second derivative of -9*b - 18*b**3 - 12*b + 6 - 6 + 4*b**2 + 0*b**u wrt b.\nAnswer: -108*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 232 in -1\/2, -6.7, -276?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3742*9\nAnswer: -33678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 208816.8 days?\nAnswer: 18041771520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*w**4 - 4*w**4 - 4*w**4 + (-3*w + 4*w - 2*w)*(w**2 - w**2 + w**2)*(57*w - 129*w + 43*w) as n*w**4 + f + g*w + b*w**2 + c*w**3 and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 465, 917, 1357, 1785, 2201, 2605?\n\"Answer: -6*r**2 + 470*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51552672 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3\/4, -3, 2\/9 in decreasing order.\nAnswer: 4, 2\/9, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*j - 4\/5*j**3 - 12\/5*j**2 + 96\/5.\nAnswer: -4*(j - 3)*(j + 2)*(j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-5 - (-11 + 2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 226383\/8 + -28288. Find the common denominator of y and -137\/700.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10671361899 take away 562?\nAnswer: -10671362461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0187807717 rounded to five dps?\nAnswer: -0.01878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8732, 8750, 8772, 8792, 8804, 8802, 8780?\n\"Answer: -g**3 + 8*g**2 + g + 8724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (220\/20)\/396*9\/(-3)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**3 + 95808*j**2 + 1819590*j - 1915400 = 0.\nAnswer: -47885, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 x, and 1 c when four letters picked without replacement from yxyyyyyccyxcycxc?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 divided by 19?\nAnswer: 256\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3317*j*u**3 + 2*j*u**2 - 20*j*u wrt u?\nAnswer: -19902*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -283.5 - -44.5. Let q = v + 238.9787. Round q to three dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-6 - -7) - (9 - (20 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/2 of a litre?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 422786199 to the nearest integer?\nAnswer: 20562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2413?\nAnswer: 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 h when three letters picked without replacement from {x: 1, h: 2, r: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7608030291?\nAnswer: 3, 43, 19658993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + ((sqrt(128)*2)\/sqrt(4) - ((sqrt(512) + 1 + sqrt(512))**2 - sqrt(512)))).\nAnswer: 80*sqrt(2) + 4098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1876416 divided by -21568\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57181784 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t**3 - t**2 - t - 1. Let g be l(-1). Suppose 4*w = 16 - g. Suppose 0 = 3*z - 2*c - 40, w*z - 2*c - 3*c = 28. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -176, -246, -336, -458, -624, -846?\n\"Answer: -2*j**3 + 2*j**2 - 62*j - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221.823mg to micrograms.\nAnswer: 221823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7d4 + -3?\nAnswer: -7d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 1, -5, 14246, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, j: 6}. Give prob of sequence hjjh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13528458 to the power of 1\/2, to the nearest integer?\nAnswer: 3678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330 - 164 - 29*r**2 - 164.\nAnswer: -29*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -19 * 4958790\nAnswer: -94217010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + sqrt(700) + 1 + sqrt(700))**2.\nAnswer: -40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2751, -2240, -1701, -1134, -539?\n\"Answer: 14*u**2 + 469*u - 3234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h - 129*h + 1932 = -57 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -44, -90, -160, -260, -396, -574, -800?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 460*o - 455*o + 40, -4 = -2*h - o. Solve -h*u + 20 - 1 = c, 0 = -5*u + 3*c + 23 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13283\/2 + -7037. Is o smaller than -395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 - (6 + -3 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-73)\/2)*2. Let q = g + -377\/5. Let r be 5\/(-3) + 1\/(-3). Which is the nearest to 2\/7? (a) r (b) q (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r = 15. Suppose r*k + 116 = 8*k - 3*z, -z - 24 = -k. Suppose -80 = 4*u - 9*u. What is the smallest common multiple of k and u?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-2 + -3 - 4) - -1. Find the second derivative of -46*h**2 + k*h**2 - 25*h**2 + 19*h + 13*h wrt h.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26415175.29 to the nearest one hundred thousand.\nAnswer: -26400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, x: 6, t: 2}. What is prob of picking 1 z, 1 x, and 1 t?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/84 + 363\/(-3150))*4. Which is the third biggest value? (a) -1\/4 (b) l (c) -0.4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**8\/13440 - a**6\/480 + a**5\/120 - a**4\/6 - 4*a. Let c(g) be the third derivative of s(g). Factor c(x).\nAnswer: (x - 1)**2*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 1809*s**2 - 6*s**3 - 2*s**4 + 1809*s**2 + 4*s in the form j*s + y*s**2 + v*s**4 + g + n*s**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.646223 millilitres?\nAnswer: 0.007646223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/654 + -27463\/3270. What is the nearest to l in -0.4, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/39, 0.3, -289564?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - -19. Let x = n - 76. Let t = x + 56. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 24*j - 6*v - 111, -42*v = j - 32*v - 15*v + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-11)\/(858\/(-4))*(-417)\/(-139)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47199\/38 - 23590\/19. Let f = 2 + -2.1. Put -0.4, f, w in ascending order.\nAnswer: -0.4, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 4032*h**3 - 27*h**2 - 4035*h**3.\nAnswer: -3*h**3 - 27*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99885790 divided by -4.\nAnswer: 49942895\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 15*o**2 + 2*o + 32. Let y be x(-15). Suppose -v = -y*w - 179, -9*v + 5*v = 3*w - 705. What are the prime factors of v?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/20412549 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16\/9, 3\/7, -0.002?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6792*d - 7349. Is b(-70) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**6\/600 - 167*u**5\/100 - 27889*u**4\/40 - 4657463*u**3\/30 + 468*u**2. Let n(r) = 0. What is r?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 4*i**3\/3 + 9*i**2 - 3*i + 85. What is the units digit of c(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k - 108 = 32. Let q = 2 + 3. Let n be (-6 - -2)*(1 - q). Solve 3*u = n - k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4 = -y. Let d be (-1 + 13)\/((-116)\/(-58)). Let n(a) = -6*a - 3 - 17*a + 26*a + d. What is n(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 9:51 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 455504585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30760, 30757, 30754?\n\"Answer: -3*t + 30763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (48 - -667) + -1 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13064691007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 41202?\nAnswer: -41212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.28 - 10854.\nAnswer: -10854.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmi when three letters picked without replacement from cilmyiyqyqqq.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4.0533 - 1211\nAnswer: -1206.9467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**2*x*z**3 - 14*r**2*x*z**2 - 11*r**2*z**2 + 79*r*x*z**3 + 2*r*x - 2*r*z**3 wrt z.\nAnswer: 6*r**2*x + 474*r*x - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 1:40 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**5 + 4802*i**4 - 318498*i**3 + 2825830*i**2 - 6765700*i = 0.\nAnswer: 0, 5, 58, 2333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 5*i - 4 = -4*t, 6 = 4*t + 3*i. Suppose -3*v + 5*n + 893 = 0, 2*v + n + 301 = t*v. List the prime factors of v.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4877 - -5004. Which is the third biggest value? (a) 3 (b) x (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7\/17 (b) 2\/9 (c) -250 (d) -0.04 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 21*n**2 + 4*n + 11*n**2 + 28*n**2. Let h be v(-2). Calculate the highest common factor of h and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttf when three letters picked without replacement from jddfttmmdddjptm?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*u + 28*j - 27*j, 0 = -5*u - j + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 - 150*f - 750. Let v be h(-44). Solve 22*i + 192 = -v*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*d - 4*s + 22, -5*d = 3*s - 17. Suppose 0 = 41*j - 53 - 29. Solve j*r = 3*r - d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/(-25)*-32)\/((-3)\/500). What is n rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -344495.846 and -5.\nAnswer: -344500.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 9786. Let o(g) = g. What is o(u(t))?\nAnswer: -2*t + 9786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b - 5*c + 12 - 37, 4*c + 21 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*y**4 + 50*y**2 - 50*y**2 + (4 + 2 - 5)*(-13*y**4 - 27*y**4 + 14*y**4).\nAnswer: -45*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**16)\/j**(-30) assuming j is positive.\nAnswer: j**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -76\/5, -2\/25, 32, 26?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 5. Let i = -0.08 - -0.03. Which is the second biggest value? (a) u (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/32)\/(1\/((-4)\/6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(k*k\/k**(-2\/9)*k)))\/(k*k**(3\/10)\/k))\/(k**(5\/4)*k**(-1)) assuming k is positive.\nAnswer: k**(301\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7*(n*n*n\/n**(-16\/5))\/n)\/((((n*n*n\/n**(-9\/5))\/n)\/n*n)\/n**(1\/4)) assuming n is positive.\nAnswer: n**(173\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*b**2 - 5*b**4 + 17*b**2 + 2 + b**3 + 10*b**4 to the form a + z*b**2 + q*b + l*b**3 + h*b**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 589, 2336, 5249, 9328?\n\"Answer: 583*o**2 - 2*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 7*c**2 + 1. Let f be u(-6). Suppose 332 - f = 5*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 98, 97, 88, 71, 46, 13?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 6:56 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(1 - (3 + -1)). Let p be (40 - -1)*k\/(-38). Let w = 9\/418 + p. Calculate the common denominator of -55\/8 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 + -1.86. Let b = 19023258.19999896 + -19023260. Let d = b - i. Round d to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 861 (b) 2\/7 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75914719 and 398.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3322384 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**2 - 19008*j - 19004 = 0.\nAnswer: -4751, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.71 + 0.29. Let k = -5.9 + g. Let a = 2.1 - k. What is the biggest value in a, -2, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 979583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -55*z**8\/4032 - 33*z**5\/20 - 2*z**2 - 56. Let r(d) be the third derivative of u(d). Let y(v) = 2*v**2. What is r(y(b))?\nAnswer: -1100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2365 is divided by 392.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33596 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 403.7 to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3)*j**(3\/2))**(5\/6) assuming j is positive.\nAnswer: j**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -142 + 142. Suppose z = 6*i + 2*i - 968. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 271782 and 1949928?\nAnswer: 4314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9346281 a multiple of 563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2 + 72 - 6*y**2 + 70 - 135 - 3*y. Determine t(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/19 (b) 2 (c) 4\/3 (d) 3\/7 (e) -0.08332\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 73*y - 32. Let t be o(36). Let w(b) be the third derivative of 1\/24*b**t + 0*b + 0 + 0*b**3 + 6*b**2. Let c(r) = 2*r. Determine w(c(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n = -c - 11, 0 = 3*n + 3*c + 9. What is the third derivative of -s**2 + s**4 - 4*s**n - 4*s**4 + 4*s**2 wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69218?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n + 30. What is x(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 61) + (4 - (-13 + 10 + 1)) + -8.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -5457?\nAnswer: 5460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -930, -1865, -2800, -3735, -4670?\n\"Answer: -935*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*q**2*r*s**3 - 72*q**2*r*s - 5*q**2*s - 9*q*r*s**3 - q*r*s - q*s**2 + 2*r*s**3 - 28*r wrt q?\nAnswer: 30*r*s**3 - 144*r*s - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4814357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 10*t - 2*y, -5*y = -91*t + 86*t - 14 - 21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 859595 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 196 = -4*i - 168 + 530 - 196, 2*i - w = -0*w - 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 21. List the prime factors of (-4)\/((-64)\/g)*48.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**4\/24 - d**3\/2 + d**2. Let w = 13 + -17. Let c be i(w). Which is smaller: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-48)*-46*-6. Solve 97 = -83*l - m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 421 + -1315?\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * 784\nAnswer: 1803.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*m - 351 + 219 + 1662 = 0 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*v + 104*v + 556 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + 0?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37459*h*u**3 - 2*h*u - 102539*h wrt u?\nAnswer: -112377*h*u**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3624*o - 576840 = 3604*o. List the prime factors of o.\nAnswer: 2, 3, 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b = -32*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.2 * 453.\nAnswer: -1449.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -789*v**2 + 194*v**2 + 1 + 198*v**2 + 196*v**2 + 44*v + 196*v**2 to the form y*v**2 + k*v + l and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 83, 76, 67, 56, 43, 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2*i + 11 = -0*t, 0 = -5*i - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244321487 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5778*x**2 + 11*x**3 + 5778*x**2.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366164.\nAnswer: 2, 91541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 179\/3. Let i = 5 + -3. What is x in -x**i + b*x**3 + 0 + 2\/3*x = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85587 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14770 and 630?\nAnswer: 132930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 2*t**3 - 2 - 2*t**3 + (222 + 7*t**2 - 222)*(0*t + 2*t - t).\nAnswer: 5*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*h**2 - 8416*h - 1684.\nAnswer: 4*(h - 421)*(5*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrvjvvv. Give prob of picking 2 v.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 5\/4*g**2 - 25\/4*g = 0 for g.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 2*f**2 + 0*f**2)*(-2*f + f + 0*f) + 22*f**3 - 35*f**3 - 45*f**2 + 44*f**2 - f.\nAnswer: -16*f**3 - f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 46. Let w = 16 - 6. What is the remainder when h(-8) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.194 times 0.019?\nAnswer: 0.174686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 - -380. Suppose 110*g - 108*g = n. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2133*g**4 - 16010*g**3 + 430299188*g wrt g.\nAnswer: -25596*g**2 - 96060*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 118608?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -24*j + 1. Let h = 6 - 8. Let r be k(h). Let s = -135 - -142. What is the highest common divisor of r and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 160*h - 6646. Give p(-62).\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*a**3 + 86*a**3 - 38*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 219, 221, 223, 225, 227, 229?\n\"Answer: 2*k + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + sqrt(1100) + 2*sqrt(1100) + sqrt(1100) + 3).\nAnswer: -120*sqrt(11) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 5*o + 2, -8 + 2 = 3*o. Let y(j) be the second derivative of 0 + 2*j**5 - 6*j - 23\/6*j**4 + 2*j**2 + 1\/3*j**h. Suppose y(s) = 0. What is s?\nAnswer: -1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10644, 21288, 31932?\n\"Answer: 10644*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 381556776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/2*-1*3\/5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, -1\/28, -0.05, -2.2602?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 125496821 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 2:49 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*x - 74 = -x, -h - 5*x = 37. Let z = h + 223\/6. What is the smallest value in -60, 3\/4, z?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 - 3 + 3)*(-6*o + o + 4*o)*(35*o + 0 + 11 - 34*o) to the form d*o**4 + q*o**3 + g*o**2 + z*o + s and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02429008 to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxk when three letters picked without replacement from ffzfxpxkxxx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 + 11*z**2 - 6*z + 2. Let t be c(-6). Let p(g) = -g**2 + 3*g - 2. Determine p(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -7. Let t be (-987)\/12 - 3 - 0. Let c = t + 86. Is m > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(170)\/(sqrt(30)\/sqrt(3)))**2 - sqrt(102)\/(sqrt(48)\/sqrt(8)*2).\nAnswer: -sqrt(17)\/2 + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c82 - -64?\nAnswer: -6c1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 18396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 15) to base 6\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2088 + 4175\/2. Let z be (0 + 3)*(-2)\/(-15). What is the nearest to 0 in x, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 61 - 3*r - 3*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702582 = 25*j + c - 702728, -c + 26 = 5*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4*o, 3*d - 5*o = -d. Suppose d = 4*y - 4*c - 40, 4*c + 31 = y + 2*y. Calculate the smallest common multiple of (42\/7)\/(6\/y) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 - (-1807)\/(-52)) + 32)\/(6*(2 + 0)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38614?\nAnswer: 2, 43, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 + -3.02. Let y = z - -3. Which is the nearest to -2\/5? (a) 3 (b) -2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1515, -3031, -4551, -6075?\n\"Answer: -2*c**2 - 1510*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6858 and 2286?\nAnswer: 6858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246\/(-41)*126\/(-224).\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2\/5 - 4474*y - 25020845 = 0. What is y?\nAnswer: -11185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 13530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 475 = -5*l, 507 = 5*l - v + 7. Put 3, l, 2 in decreasing order.\nAnswer: l, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -25*b - 370. Determine r(-14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1215\/2025)\/(7\/(-210)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 5077683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2420 - -2435. Solve 8*v - 21 = y*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + 0 + sqrt(19).\nAnswer: -6 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-28))\/((-2)\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**5 - 2*j**5 + 0*j**5 + (4 - j**2 - 4)*(5*j**3 - 5*j**3 - 2*j**3) + (-j + j - 2*j)*(-6*j**4 + 11*j**4 - 20*j**4).\nAnswer: 33*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0133 * 7\nAnswer: -0.0931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4 + -1 + -6 + 7. Which is the smallest value? (a) v (b) 0.2 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2. Let c(s) be the first derivative of s**3\/6 - 3*s - 3. Let g(z) be the first derivative of c(z). What is v(g(w))?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 159*j*w**3 + j*w**2 + j*w + 9*j - 2104*w**3 + 77*w**2 + 14 wrt w?\nAnswer: 954*j - 12624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13006 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - (-7 - (-11 + 5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**18*z)\/(z**(-23)\/z)*z**(-44)\/(z*z**(8\/3)) assuming z is positive.\nAnswer: z**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t - 3*t - 2*t)*(-t**2 + 4*t + 7*t**2 - 6*t) to d + x*t + n*t**2 + c*t**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f**3*k**2 - 6*f*k**3 - 14*k**3 + 1 wrt f?\nAnswer: 9*f**2*k**2 - 6*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99\/22 - ((-63)\/(-18) + -4)*-6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 43, 1, 2, -3, -1 in decreasing order.\nAnswer: 43, 5, 2, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**3\/15 + o**2 - 9*o\/5 + 29. Find a such that b(a) = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -144 and -27.36.\nAnswer: 3939.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.23359 - 236.29359. Let v = h + 260. Let o = -24 + v. What is o rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3216 = -7*o + 102. What is the lowest common multiple of 54 and o?\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -358.861 rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -411135 - -1057?\nAnswer: -410056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7517957485 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 780 and 608445?\nAnswer: 31639140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (17*-2)\/(6664\/(-408) + 17)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5074964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1167 (base 8) in base 7?\nAnswer: -1561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, x: 2, p: 1, q: 1, m: 2, i: 2}. Give prob of sequence qmpt.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*i**3*t**3 + 10*i**3*t**2 - 988*i**2*t**2 - 4371*t**4 - 2*t**2 wrt t?\nAnswer: -30*i**3 - 104904*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from {f: 2, w: 8, p: 4, l: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 6*b - 4*f, -4562*b + 4558*b + 4*f - 1 = 11 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 2:11 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(-22))**(14\/3) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-2.47937.\nAnswer: 4.95874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -159.01 plus 10.7656?\nAnswer: -148.2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/4023 or 1?\nAnswer: 8\/4023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 203 in 139, -8\/5, 2\/3?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k - 4*s + 4, 3*k - 4 = -4*s. Suppose 0 = -k*m - m. Let b = 413 + -411. Solve -10 = -m*t + b*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 25 + 79 + 15)*(y**2 + 2*y**2 + 0*y**2).\nAnswer: 243*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3828808 - 42083361\/11. Let s = g + -3044. Calculate the common denominator of s and 3238\/260 + 4\/(-26).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 12:42 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25963 and 284753?\nAnswer: 1056148877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5849, 12276, 18703, 25130?\nAnswer: 31557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 10*u**2 - 12*u - 13. Let s be h(-9). Let q(k) = -3*k + 2. Let d be q(3). Let v = d + s. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3322101323 (base 4) in base 6?\nAnswer: -33550015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2737071?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5 + 25, 0 = 3*f - 3*v - 72. Suppose 3*i - f = 4*t + 14, 4*t + i = -21. What is the remainder when 12\/(-8) + 573\/t*-1 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1926040\/9629325 - (-3)\/(-15). Let l = 11762798317\/3851730 - x. Let m = l + -3051. Find the common denominator of m and 58\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*w = -17 - 1207 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 12:31 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000020458 to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 108577?\nAnswer: 108577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 7, a: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 24*l + 3. Let d be r(0). What is the closest to 1\/4 in 0, -0.2, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*y - 26*y - 91 = 121 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(-110)*(-18)\/21.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74559230, -74559229, -74559230, -74559233, -74559238, -74559245?\nAnswer: -74559254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**5\/30 + v**4\/12 - v**3\/3 - 2. Let k(f) be the third derivative of j(f). Is k(5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12497 and 20688.8.\nAnswer: 8191.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/672 and -11\/2051616.\nAnswer: 2051616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-9)\/15) + 1. What is the third derivative of 4*j**6 - 2*j**6 + 2*j**2 - 3*j**g - j**2 wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(24\/252 - (-8)\/(-84)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 d when four letters picked without replacement from {j: 2, d: 5, t: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2576881759?\nAnswer: 6389, 403331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20 + -1 + 0 + 3 + -122 + 121\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*q - a, 2*q - 3*a - 38 = 7*q. Let n(u) = -u**3 - 8*u**2 - 6*u - 5. Let j be n(q). Let c be 1\/(15\/(-9)) + (-37)\/5. Is j less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*a**2 - 117*a**2 - 63*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - m**2 - 4*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 26. Let g(q) = -222431*q + 27*q**2 + 222431*q + 13*q**2. Give m(g(i)).\nAnswer: -40*i**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 226 - 156. Suppose -m - p + 16 = 0, 3*p - o = 3*m - 8*m. Let u = -3 + m. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 >= 810\/467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiii. Give prob of picking 2 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 7*c + 2. Let b(s) = -s**2 - 6*s - 3. Let d be b(-3). Calculate x(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91)*2 + sqrt(91) - sqrt(91))*-5)\/(sqrt(448) + sqrt(448)*2 + sqrt(448) + sqrt(448) + sqrt(7) + sqrt(7))*6)**2.\nAnswer: 1300\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3424.5 - 3425. Let o = -6.7 - -6.75. Which is the third smallest value? (a) h (b) o (c) -2\/5 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, i: 7}. What is prob of picking 3 i?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 13*t + 25. What is the remainder when n(5) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-46 - -60) + (-1 - 6) - 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 8*g = -3. Factor 6*l**3 + l + 2*l**2 - g*l**3 - 4*l**3 - 2.\nAnswer: -(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/9 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five fourteenths of a week?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 1\/2 (b) -0.08 (c) 2 (d) 4\/63 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 26\/5 of a microsecond?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2346130251579 - 0.1?\nAnswer: 2346130251578.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)*a\/a**(-2\/9)*a*(a*(a*a\/a**2*a)\/a)**(-1\/27)*(a**(-2))**(-7\/3)*a**6*a*a**(2\/21)\/a assuming a is positive.\nAnswer: a**(1880\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/7 or -55.967?\nAnswer: -55.967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10570781 and 4878822?\nAnswer: 63424686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34397104?\nAnswer: 2, 7, 31, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 84 = 5*r. Let q(s) = 8*s**3 - 2*s. Let n be q(2). Calculate the highest common factor of r and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 6 + 2*y + 0*y**3 + 0*y**2 - 3\/2*y**4. What is the derivative of z(h) wrt h?\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7540070 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 68, 113, 142, 155, 152, 133?\n\"Answer: -8*l**2 + 69*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3661300220 divided by 4?\nAnswer: 915325055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*j + 2017 = -191*j. List the prime factors of j.\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413495769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82 and 81344?\nAnswer: 81344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t + 108 = -18*t + 24*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Is 21849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7940.169 minutes in hours?\nAnswer: 132.33615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -124205.44 rounded to the nearest one hundred?\nAnswer: -124200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 6292.2399 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 2\/7 (c) 3 (d) -0.03976 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6646?\nAnswer: 2, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 16 - 9 = 0. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 899 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -966.56.\nAnswer: -3866.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 199, 2, 0 in increasing order.\nAnswer: 0, 2, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1388531 is divided by 2641?\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(-1*sqrt(425)*-3 + 1).\nAnswer: -60*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-12))\/(-1))\/((-4)\/16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**39\/(l*l\/l**(2\/11)*l))\/(((l\/(l**22\/l)*l)\/l)\/((l*l*l**(-5\/3))\/l*l)) assuming l is positive.\nAnswer: l**(1865\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - k - 7, 4*n - 17 = 4*k - 1. Factor -n - 6*v + 0*v + 5 + 5*v - v**2.\nAnswer: -(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 3213\/14*13\/((-507)\/(-416))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.66 - -3.46. Sort -7, i, 2 in ascending order.\nAnswer: -7, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1265, 2575, 3887, 5201, 6517, 7835?\n\"Answer: z**2 + 1307*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6481*p - 6477*p - 5*k = 26, 9*p = -5*k - 39 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 17*q + 141. Let y be s(-8). Solve -11*z + y = 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**2 - 25628*a - 67199902 = 0.\nAnswer: -2233, 15047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/26*-2 + 421038\/(-3716570). Let k = 2 + -1. Which is the second smallest value? (a) -2 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-105)\/(-42)*(-10)\/15. Suppose 0 = -4*t - 2*o + o - 11, t - 4 = 2*o. Put t, z, 5 in ascending order.\nAnswer: t, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -292, -922, -1868, -3124, -4684, -6542?\nAnswer: -8692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22 * -425\nAnswer: 9350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c53 + 5c65?\nAnswer: abb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 1 - -6) + (0 - (6 + -16)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.087017ug to nanograms.\nAnswer: 87.017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + l + 4*l + 2395 = 0, -475 = r + 3*l. Let o = 200 - 478. Let q = o - r. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.127 and -2.83.\nAnswer: 0.35941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4.9958+1585\nAnswer: 1589.9958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 793 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c - 108. Determine r(31).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 2*v**2 - 3*v. Let l be x(3). Let w(f) = -2*f**3 - 6*f**2 - 4*f + 4. Let t be w(-4). Suppose l*b - 3*m - t = -b, b = m + 42. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2523 smaller than -2523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and -0.0262.\nAnswer: -0.4978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = -6. Suppose -4 = -u*y - 0*y. Solve x = y*o - 2 + 6, -5*x = 5*o + 25 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9212 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6815\/682 - 345\/31. Find the common denominator of v and 186\/(-220) + 1\/(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80376 and 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1, 2\/13, 2\/95, -3\/2 in descending order.\nAnswer: 2\/13, 0.1, 2\/95, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1612472 divided by 201559.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**3 + 607860*y**2 + 9724956*y + 33428780 = 0?\nAnswer: -151949, -11, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrirrirr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14 - 28896\/8)*(-1)\/2?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7976919.5 rounded to the nearest one thousand?\nAnswer: 7977000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -128? (a) -4 (b) 1 (c) 2\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*a - 10. Let p(o) = -o**3 - 5*o**2 + 7*o + 1. Let u be p(-6). Sort -1, u, a in ascending order.\nAnswer: u, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0473 in 3\/10, -2, 1.63, 3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -36*h**2 + 28*h + 116. Suppose 2*b - 6*b + 20 = -2*m, 17 = -b - 5*m. Let i(j) = -4*j**2 + 3*j + 13. Let v(n) = b*d(n) - 28*i(n). Solve v(p) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.496 - -1.496. Which is the closest to j? (a) 1\/2 (b) -0.4 (c) 2.1 (d) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3140807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 191 - 46. Suppose -2*i - 13 + v = 0. What is the greatest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/22 and ((-1)\/(-1495))\/(-14 - (-79576)\/5670)?\nAnswer: 46046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*y - 2\/11*y**4 + 8\/11*y**2 - 6\/11*y**3 = 0. What is y?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**3\/3 + 5*s**2\/2 + 24*s. Let l be g(2). What are the prime factors of (-39 + l)\/(7\/(-14))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 1. Suppose 0 = -4*x - 8 + 12. Let i(f) = 5*f - 20. Let n(o) = x*i(o) + 20*k(o). Let g(p) = -7*p**2. Determine g(n(l)).\nAnswer: -175*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 13*i - 14. Determine y(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22532?\nAnswer: 2, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(6\/5)*t**10)\/((t\/(t\/t**(-10)*t)*t)\/(t\/((t\/(t\/t**6))\/t))) assuming t is positive.\nAnswer: t**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-3 + 5) - 6. Let d be (-6 - -5) + (1 - s). What is the units digit of (-2 + 9)*(d + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14944, -29889, -44834, -59779?\nAnswer: -74724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 - -151. Let s = 68 - g. What is the third smallest value in 9, 4, s?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16619 - -16620. Solve -4*x + 5 = -5*r - 6*x, -r - 2*x - w = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 3) in base 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 50, 2 in increasing order.\nAnswer: -5, -4, 2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-7463)\/170 + 44)*(-2)\/7\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 1\/3*m**4 - 1\/10*m**5 + 0 + 0*m**2 + 0*m**3 + 3*m. Factor l(a).\nAnswer: -2*a**2*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 233.8 - 234. Let p = 0.94 + 0.06. What is the closest to p in r, -2\/9, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*d + 8 = 0, 0 = -4*x + 3*d + 8. Suppose x*r + 5*t - 11 = 2*t, -3*t + 19 = 4*r. Suppose -c + 19 = -5*z, z + 3*z = -4*c + r. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5959204893.\nAnswer: 3, 947, 699191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p + 51*p + 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f - 5. Let g(n) = -6*n**2 + n - 2. Let p be g(-2). Let o be (-8)\/p - (-9)\/(-7). Let s be x(o). Solve 24 = 3*j + 3*u, -25 = -s*j + 4*u - 9*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-20) - ((-1155)\/100 - -7)*1564 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 9) to base 13\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 384 - 11514\/30 - (-672)\/(-10)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 236.9 + 32.1. Let i = w + -269.04. Let k = -0.7 - -2.7. Which is the nearest to -0.1? (a) 2\/7 (b) i (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1182 and 222.\nAnswer: 43734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-4)\/((-224)\/(-6))). Let f be 2\/(-8) + 119\/a. Solve -f*c = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42285638 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymmmyttmmmmmymtmmymk. What is prob of picking 1 m, 2 t, and 1 y?\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 19*o**4\/6 + 480*o**3 - 716800*o**2 + 421888000*o\/3 - 8192000000 = 0. What is o?\nAnswer: -12000\/19, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 8?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-36))\/((-2)\/3) - (-84)\/18. Solve 10*x - 46 = i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2913*u**5 - 12 - 5820*u**5 + 24*u**3 - 32*u + 2915*u**5 - 16*u**2 + 28*u**4.\nAnswer: 4*(u - 1)*(u + 1)**3*(2*u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -x + 5. Suppose 4*b = -12, 3*v + b + 11 = v. Let l = 18 - v. Calculate the remainder when l is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001228 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.77 + 0.67. Let t be (-1)\/1*-2 + 2. Which is the nearest to u? (a) -3\/2 (b) t (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggd when three letters picked without replacement from dggxdcddfxxgdxdcdcx?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 14. Let o be (w - 1)*1*22. What is o rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1099, 1101, 1103, 1105, 1107?\n\"Answer: 2*c + 1097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/9 + 5618*o**4\/9 - 50332*o**3\/9 - 190352*o**2\/9 - 44800*o\/3 = 0. Calculate o.\nAnswer: -2, -1, 0, 12, 2800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l + 35*l + 25*o - 3 = 26*o, 4*o + 16 = -4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-36)*2)\/(79\/711).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert e6bd (base 16) to base 3.\nAnswer: 10000000202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 773681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46513 (base 8) to base 15.\nAnswer: -5ce2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/200 + (-762)\/(-20). Calculate the highest common factor of a and 2470.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67469.1148 - 0.1?\nAnswer: 67469.0148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 274\/(-6) + (-1)\/3. Let k = -28 - p. Calculate the remainder when k is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 48*g - 890. Let k be d(-11). Solve -t = u + 3*t + 11, -k = -4*u - t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34882275 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -747*h**3 - h**2 + 10*h + 62. What are the prime factors of c(-3)?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 3200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + -1 + 0)*(-2275)\/(-130)*52\/910.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 10:03 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4 = 0, 22*y = 4*h + 20*y - 4. Suppose -h*g + 51507794 = 10907794. What is g rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.4901 * 0.1.\nAnswer: 0.74901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -167 + 31*b + 84 + 81 in the form x + f*b and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 0 = 2*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 - 57. Suppose -y*x - 45 = -0*r - 3*r, 3*r - 49 = 2*x. Calculate the remainder when 69 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/70*135)\/(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4300 (base 8) to base 13\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 324 and 66?\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29a - -3?\nAnswer: 29d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(95)\/(sqrt(20)*-3).\nAnswer: -sqrt(19)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*b**3 + 0*b**2 - 11*b**3 - 6*b**2 + (12*b**2 - 3*b**2 - 2*b**2)*(4*b - 4*b - 3*b) to w + m*b**2 + i*b + y*b**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c - 27. What is the remainder when t(-14) is divided by (5 + -11)*(-2 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7837160 and 235114800?\nAnswer: 235114800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 5886*u - 2945*u - 33 - 2941*u.\nAnswer: u**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18158?\nAnswer: 2, 7, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 27. Let j = -8 - q. Let u = -39 - j. Is -6\/7 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.95 - -0.05. Let y = -40 - -39.6. Which is the nearest to -6? (a) y (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2560 in 8, -94, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -x + 2732, -5*x - 180 = -2*u - 1282. Let g = 773 + u. What is the remainder when g\/9 - (-6)\/(-27) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 48*n**5 - 2 + (3*n**4 - 5*n**4 + 4*n**4)*(-n + n - n) - 3*n**5 - 2*n**3 + 2*n**3.\nAnswer: 43*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1762946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*b = -1, -3*k - 3 + 5 = b. Let l(c) = 15*c**3 + c**2 - c. Does 15 divide l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/3? (a) 3\/5 (b) -9 (c) -144\/7 (d) -2\/21 (e) 2\/17 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/3876681 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 156358191 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a1e6 (base 16) in base 9?\nAnswer: -172668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4314412877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -373, -717, -1059, -1399, -1737?\n\"Answer: f**2 - 347*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3*10\/(-39))\/((-137040)\/148460)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9048 by -156.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10*t = 192. Suppose 0*w - 4*w - 19 = -m, -m + t = -5*w. Let f(v) = -55*v - 1. Let h be f(m). Calculate the highest common factor of h and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 21. Let k = 20607 + -20628. Is z >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.353821 take away -5131?\nAnswer: 5108.646179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -906 + 1762. List the prime factors of c.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(((-16)\/(-10))\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/5280 and -151\/5040?\nAnswer: 110880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + 18 + (-47 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*t + 25, 19 + 4 = -4*t + k. Let g = -221.7 - -211. Let z = 11 + g. Which is the third biggest value? (a) t (b) -3\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 * -557441.\nAnswer: -83616.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 2*q - 36. Let h be n(-4). Let k(p) = -p**3 - p**2 + 4*p. Let c be k(-3). Solve l - 3 = m, l - c = h*m - 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -10*w**3 - 131*w**2 - 19*w - 123. What is f(-13)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 154 * -2.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 6*r - r + 3 to q*r + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 101.7 and -934766.\nAnswer: -95065702.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32376, -129477, -291314, -517893, -809220, -1165301, -1586142, -2071749?\n\"Answer: -i**3 - 32362*i**2 - 8*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 5 + 10*y - 3*y**2 + 1\/3*y**3. Let c be d(4). Solve -c = -u - u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742142658.\nAnswer: 2, 1823, 477823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009579103773 to 7 decimal places.\nAnswer: -0.0095791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6908358 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -23201 (base 4) to base 6\nAnswer: -3225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 299 - 139. Is 13 a factor of 1 - (3 + -3 - h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*o**3 - 191*o**4 - 225*o**4 + 15*o + 417*o**4 + 4*o**2 as f*o**4 + r*o**2 + v*o**3 + y + k*o and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2680705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274031026 a multiple of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 160, 241, 322?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7561, -8844, -12321, -19090, -30249, -46896?\nAnswer: -70129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 7 + 3 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 366380?\nAnswer: 732760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2329668 and 169830?\nAnswer: 198021780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105401234 + 40?\nAnswer: 105401314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p = -64. Let n be ((-3)\/(-4))\/((-4)\/p). Find the first derivative of d**n + 9*d**3 - 8 - d**3 wrt d.\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -562 (b) -0.03 (c) -2\/3 (d) -507\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -1704117\nAnswer: 8520585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 1330.\nAnswer: 14630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 27 = -4*t, 3*j - 2*t + 36 = 7*j. Let v(k) = -k**2 + 10*k - 1. Determine v(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 4\/15, 0.5, 0.3, 115 in increasing order.\nAnswer: -1\/4, 4\/15, 0.3, 0.5, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 627139011 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373 = -67*h - 11*h + 1153 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3361592 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50457 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 w, and 1 b when four letters picked without replacement from bbbxxbxxwwbwwbbwbx.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -4870.\nAnswer: -2435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3 + 18078606*h**2 - 29767986*h.\nAnswer: 6*h + 36157212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1*s*s*s**6*s**(1\/3)*s**0 assuming s is positive.\nAnswer: s**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 58550, 117099, 175626, 234131, 292614?\n\"Answer: -11*i**2 + 58582*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(121)\/(sqrt(99) - 1*sqrt(99) - sqrt(99)) + -5.\nAnswer: -3 - sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, 1, -1, -2, 3.\nAnswer: -11, -2, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99 + 416. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1516.19 - 1530. Let r = -6.72 - w. Round r to one dp.\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/54 - 23*x**3\/9 + 68*x**2\/9 - 198*x. Factor v(a).\nAnswer: 2*(a - 68)*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611 = -4*p + n, 0 = 3*p + 2*n - 675 + 214. Calculate the highest common factor of p and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5285634 is divided by 29862?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 797 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmeppmpwp. What is prob of picking 2 m?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from gdpqpsql.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437 = 17*p - 0*p + 2*p. Let w be (-23)\/(0 - 3\/135). Suppose 0 = -h - 4*h + w. What is the greatest common factor of h and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 589268.095?\nAnswer: 589267.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32207587411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -631546?\nAnswer: 631553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/7)\/(14\/(-98)). Suppose -x = -3, 0 = 4*b + 3*x + 1 - 38. Solve 0 = 4*d + h, 0 = -3*d - h + a*h - b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**2 + 33*o + 5146. Calculate d(40).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 661238 and 4.\nAnswer: 661242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 5:19 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3116968 times 1?\nAnswer: -3116968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7268345860648889\/46431 + -156540799472. Let y = -4\/4221 + i. Let q = -23\/3 + y. Which is the biggest value? (a) q (b) -0.1 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49654258567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36561.703 and 6.\nAnswer: -219370.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.5. Let t = -29 + 13. Let f = t - -16. Which is the nearest to f? (a) -3 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*z + 26*z + 71*z + 31*z)*(0 - 3 + 4).\nAnswer: 153*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -9.131. Let r = s - 13.231. Let t = r - -12.8. Which is the second smallest value? (a) 0.2 (b) 2\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6325 and 20700.\nAnswer: 227700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**2 - 23*p + 23*p + (2 + 4*p - 2)*(-3 + 3 + 2*p) to a*p**2 + o*p + v and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41607986 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 61*w**3 + 3*w - 8 - 15*w**2 + 12*w - 60*w**3. Let c be s(14). Solve c*l + 5 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3 + 998*a - 11 - 998*a wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*o = -3*z + 51, 5*z - 123 = -6*o. Solve 30 = -17*r - z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + 0)*-2 + 3 + sqrt(1573) + -1 - (sqrt(1573) + 1 + 3)*2)**2.\nAnswer: 396*sqrt(13) + 14193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 5*f - 6. Let q be w(-3). Let p be (-8 + (-984)\/(-96))*8\/3. Solve -i + p*i + k + 30 = q, -4*i - 10 = -2*k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*l + (-3 + 3 + l)*(-5 + 0 + 3))*(-561 + 93 - 534).\nAnswer: 5010*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 8*a - 11. Let h be q(-9). Let i(b) = -b + 2. Let w(k) = -6*k + 2 + 6 + 2*k. Calculate h*w(g) + 9*i(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50717.\nAnswer: 41, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 995327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 3*z**5\/20 + z**4\/12 + z**3\/2 + z**2\/2 - 3*z. Let s be w(-2). What is the units digit of 2\/5 + (-40)\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-182)\/1638*(-2)\/1. Let m = -100 - -63. Which is the biggest value? (a) -0.4 (b) m (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -341278 + 5116213\/15. Let i = -197 - x. Suppose -5*l - 1 + 11 = -5*h, l = 3*h + 12. Which is the smallest value? (a) l (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14\/115 - 35\/23. Is o < -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -r - 2. Let k be 383 - (-4 + 1) - r. Calculate the common denominator of k\/(-270) - 2\/3 and -65\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26, 35, 44?\n\"Answer: 9*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 39 + y + 137 - 31 + 62 + 24. Let h be a(0). Which is bigger: h or 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107442848 by -13430356.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19269407*t**3 - 5*t + 260801653.\nAnswer: 57808221*t**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 414 - 80. Let i be -3*(-2)\/(-9) + s\/6. Solve -8*r = -i + 23 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 250 and -63049?\nAnswer: -15762250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 13 = 4*s - 3, 2*d - 8 = -4*s. Suppose -3*o + 5*w = -901, 5*w + 7 = -s. Suppose -4*u + 603 = -5*y, u + u - o = y. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 567*j**2 + 566*j.\nAnswer: j*(j + 1)*(j + 566)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 64*s. Let v(q) be the third derivative of -35*q**4\/24 - 9*q**2 - 8*q. Let z(c) = -4*i(c) - 7*v(c). Let b(p) = -p**2. Determine b(z(f)).\nAnswer: -121*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 + 1. Let p be d(1). Is p\/10 + (-78)\/(-30) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174 - 107. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510399173 to the power of 1\/2, to the nearest integer?\nAnswer: 38864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8105 + -8102. What is the second biggest value in l, -0.4, 0.579?\nAnswer: 0.579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 140?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u + 3. Let v be (-3 + (-30)\/(-8))*-4. Let j(f) = f**2 + 3*f + 6. Let y be j(v). Let i(g) = 9*g - 7. What is y*i(k) + 14*r(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011678 rounded to four dps?\nAnswer: 0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1226 - h + h**2 - 2*h**2 + h - 1227.\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1407 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*3\/4 - 1. Suppose -1 = -3*p - o + 5*o, -4*p = -5*o - v. Let u be 518249970\/(-75) + p\/(15\/(-2)). Round u to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583759722.\nAnswer: 2, 3, 7, 13, 41, 89, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3645 (base 7) in base 15?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 5*q**4\/36 - 20*q**3\/9 + 40*q**2\/3 - 112*q - 155. Let z(y) be the first derivative of w(y). Factor z(b).\nAnswer: 5*(b - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -18 - 0 - (-291 + 269). Solve 8*s = 4*s - 4*k + 12, 4*k - 20 = d*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12292*n = -13809*n - 24272 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2 + 3 + c + 4. Let w be g(4). Suppose -2*a = s - w, 3*s - 2*a - 15 = -5*a. Solve s = 2*b - 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.93028 rounded to 2 decimal places?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 185, 254, 323?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10602 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1556*n + 9276. Determine p(-6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 2*a + 7 - 2*a. Let s(m) = m**2 + 8*m + 6. Suppose -5*o = -0*o + 30. Let f be s(o). Calculate i(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2850 = 10*v + 5880. Let p = -816 - v. Calculate the remainder when p is divided by (0 - 1) + 1 - -20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-6)*12\/(-147)*(-156 + 44).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.197 times 8600?\nAnswer: -1694.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 4*o + 9 = -5*x, 2*o + 1 = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 46*u + 5\/12*u**4 - 5\/3*u**3 + 0 + 0*u**2 + 1\/4*u**5. Factor c(q).\nAnswer: 5*q*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 48*h + 296. Let w be m(41). Let c(q) be the second derivative of 1\/3*q**4 + 0*q**2 + 4\/3*q**3 + 0 - w*q. Let c(t) = 0. Calculate t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 4 (c) 2.7 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-108890.\nAnswer: -43556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -311*p**2 + 110713*p + 301. Determine v(356).\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*b - 12*b + 59 - 14*b + 45*b - 10*b to the form i + s*b and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*i + 13*i**2 - 4*i**2 + 6*i**2 - 24*i**3 + 23*i + 18.\nAnswer: -3*(i - 2)*(i + 1)*(8*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 803*z + 704*z = -939*z + 2768*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-2))\/(6\/84*-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*y**3 + 55180*y - 55180*y.\nAnswer: -394*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*q**2 - 96 + 96 as i*q + r + u*q**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 122*h**2\/9 - 5608*h\/9 - 184\/9 = 0?\nAnswer: -2\/61, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16010540129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + -45?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00058626 to 6 dps.\nAnswer: 0.000586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 221 - 296*d + 58.\nAnswer: -296*d + 276","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 34160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/20 and 83\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/20397 and -109\/864?\nAnswer: 5874336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1319 + -1326. Put -13, j, -5, -4 in descending order.\nAnswer: -4, -5, j, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(((a**1\/a)\/a*a)\/a)\/a*a)*a)**27\/((a\/(a**(-1\/9)\/a))\/(a**(-6)\/a)))\/(((a*a*a**3)\/(a*a*a**(-3\/8)*a*a))\/((a**(-2\/5)*a)\/a**1)) assuming a is positive.\nAnswer: a**(15521\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**9\/1008 - 7*m**5\/120 - m**3\/6 - m**2. Let n(s) be the first derivative of l(s). Find the second derivative of n(y) wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -167*t**7\/210 - 7*t**5\/60 + 7*t**4\/24 - 134*t**2. Find the third derivative of q(l) wrt l.\nAnswer: -4008*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.33, 1\/50, 2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/2856 and (4 - 141942\/(-12852)) + -15?\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41*1364.\nAnswer: -55924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -58327038 divided by -66\nAnswer: 883743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 3*q + 32*q + 34*q.\nAnswer: 53*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 44 - 317\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-60) + 6\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 67583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1420 - 2683. Let j = -1246.46 - q. Let w = j + -0.54. Which is smaller: w or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 299317918?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 + -0.37. Let h = 58 + -57.6. Which is the third smallest value? (a) j (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-4)\/((-42)\/117*(-2970)\/(-3465)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/13)\/(o**(-25)*o)*(o*o*o**24)\/o*o\/((o*o\/(o\/(o*o**32)))\/o))**(-9\/5) assuming o is positive.\nAnswer: o**(-1971\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/(-15)*6\/4. Sort r, -9, 0.\nAnswer: -9, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -248 + 4 + -2 + -1. Let w be (-2)\/((60\/534)\/5). Let z = w - x. List the prime factors of z.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16894 - 16894 - 1634*f**3.\nAnswer: -1634*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2 = 2*v. Let b(w) = -w**3 + w**2 + w - 1. What is b(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1261122 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*((-15)\/6)\/(-5). Suppose 5 = -k*i, -2*i + 32 = 3*x - i. Calculate the remainder when 41 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 12:03 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of x**4 - 4461*x**3 - x**2 + 31060.\nAnswer: 4*x**3 - 13383*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/103? (a) -3.3 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -135 - -189. Suppose -50*p = -y*p + 28. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 - (-3654)\/378. Sort 4, s, 43 in ascending order.\nAnswer: 4, s, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25, 38, 51, 64, 77, 90?\n\"Answer: 13*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 0 - (298 - 296) - -14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 21*h + 33. Give k(16).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 1\/2*u**2 + u + 0 - 1\/3*u**3 + 1\/6*u**4 + 1\/5*u**5. Let b be (-4)\/(2*-1) + -1. What is f(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -301*w**2 - 3*w + 3. Let a be l(1). Let y = -207 - a. Calculate the remainder when y is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 5876?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14368935 and 34090.\nAnswer: 28737870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 614\/7 or 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2012 = 484*j + 2344 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, z: 1, y: 4, g: 3}. Give prob of picking 2 m and 2 g.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390 + 630 = -68*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 214\/5 - 24391\/570. Let f(w) = -w**2 - 17*w - 72. Let i be f(-8). Is i at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/63 and 44\/4011.\nAnswer: 12033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 79 - (9 + -3)\/(-2). Let v be (p\/(-6))\/(3\/(-9)). Suppose -n = n - 5*h - v, -3*n - 3*h + 51 = 0. What is the remainder when 35 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 529*z**4 - 438*z**2 - 1 wrt z?\nAnswer: 12696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 5*a**2 - 10*a + 8. Give p(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13939423*i**5*n**2 + 210*i**2*n**2 - 22975*n**2 wrt i.\nAnswer: -836365380*i**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196499.\nAnswer: 196499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 778*s**4*t**2 - 205*s**2 - 6*t**2 wrt s?\nAnswer: 18672*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*f + 5, 4*f - 3*x + 3 - 2 = 0. Suppose 5*i - 25 = 5*n - 0*n, 3*n + 22 = 4*i. Solve -2*z + v = 2*z - i, f = 2*v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/s*s\/s**(2\/7)*s)\/(s*s\/((s**(-1)\/s*s)\/s*s)*s*(s\/(s**(-4)*s*s))\/s*s) assuming s is positive.\nAnswer: s**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 16. Let q = r + 27. Let x(o) = -o**2 - 7*o - 2. Let c be x(-6). Solve -p = -5*w + q, -p - 8 = 2*w - c*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*2*7\/(-6) + -8. Let a be (-4)\/(2 + 6\/(-4)). Is s\/(a\/(-4))*-422 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 1. Let h = 1150 - 1154. Let l(a) = 3*a**2 + 1. What is h*t(c) - 4*l(c)?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127994?\nAnswer: 2, 63997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 2. Let m be f(0). Let y be 34\/10 - 21\/(-35). Solve -y + m = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 1 + (309 - 283)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 12*v**2 + 13*v + 8. What are the prime factors of f(-9)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5978, -6119, -6500, -7241, -8462, -10283?\n\"Answer: -20*n**3 - n - 5957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10323120010220 - 10?\nAnswer: 10323120010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 10*r**2 + 2. Give a(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1180014043 - 0.019\nAnswer: -1180014043.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -1352686.3.\nAnswer: -1352686.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -381 times -0.3?\nAnswer: 114.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**4\/2 + 4*u**3\/3 - 57. What is v in q(v) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*t*w**6 + 1517*t*w**2 + 3*t*w - 461*w**6 wrt w?\nAnswer: -720*t*w**3 - 55320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4220, 33578, 113202, 268226, 523784, 905010, 1437038, 2145002?\nAnswer: 3054036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19364 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 107*u**2. Let o be p(-1). Let j be (-140)\/8 + 2\/(-4). Let v = o + j. What is the remainder when v is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -7 + (-3 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 10*j**2 - 7*j + 9. Let f be t(5). What is the common denominator of 8 + -11 - (-227)\/f and -38\/33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 189?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187452*x**3 + 187429*x**3 - 374889*x**3 - 20*x**2.\nAnswer: -8*x**3 - 20*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 27243.6 to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 15*t + 36. Let u be v(-16). Let c = 25 - u. Solve 0*z + 15 = c*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 72887*x - 95 - 72887*x + 18.\nAnswer: -x**3 - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1984 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 585 and 1105?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/731 and 31\/17?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-15 - -12) + -5 + 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1760.07ms to microseconds.\nAnswer: 1760070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*((2 - 1) + 24\/(-120)). Solve -g*l = -37 + 33 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 9. Let x be o(7). What is the first derivative of 8*b**2 + 28 - 10*b**x - 3*b + 4*b + 7*b wrt b?\nAnswer: -4*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-16)\/15)\/((-1)\/4) and -61\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.285 to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (21 + 3 - ((-16 - -28) + -18))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8460 and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1752*o + 44451 + 33759 = -855*o for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64779.35 litres?\nAnswer: 64779350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*-3*20\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 3168 (c) -0.335 (d) 4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-8 - -11) + (-3 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -76773, -77011, -77251, -77493, -77737?\n\"Answer: -n**2 - 235*n - 76537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 152 = -4*v, -v - 80 = -5*s - 242. Let m = s + 35. Solve -10 = d - m*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 - u**2 - 9*u**2.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57291*g**2*y**3 - 3*g**2*y**2 - 14825087*g**2*y + 77*g*y**5 wrt y.\nAnswer: 343746*g**2 + 4620*g*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -9. Let n(o) = o + 1. Let c be n(5). Suppose w*z - 1144 = -c*z. Calculate the greatest common factor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/3848121 and -71\/855138.\nAnswer: 7696242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*n + 23 + 14 = 0, 0 = i + 2*n - 19. Let g be (14\/35)\/((-69)\/i - -2). What is the third smallest value in g, 0.3, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385640 + 385645 - 21*v**2 + 18*v**2 - 771285.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - z + z)*(41*z + 94 - 94)*(2 - 2 + 4*z).\nAnswer: -328*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -v + 817, v + 813 = -7*k + 12*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 415, 818, 1221, 1624, 2027, 2430?\n\"Answer: 403*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-6))\/((-1)\/6). Let j = y - -10. Let o(d) = 2*d + 1. What is o(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 2*l**2 + 0*l**2 + (1 - 1 + l)*(0*l - l + 0*l))*(-6*l**2 + 10*l**2 + 3*l**2).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -2, -286, 2, 670 in decreasing order.\nAnswer: 670, 2, 1, 0, -2, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1945787 + 2149*b + 1945787)*((2*b + 1 - 1)*(-2 - 6 - 11) + (5 - 2 - 2)*(-2*b + b + 0*b)) as z*b + j*b**2 + r and give j.\nAnswer: -83811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 l, and 1 w when three letters picked without replacement from {c: 1, y: 4, w: 6, e: 4, i: 3, l: 1}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129636*i**2 + 45990*i**2 + 10515*i**2 + 13531*i**2.\nAnswer: 199672*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -472 + 467. What is the second biggest value in y, 1\/2, 27.7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 7 = -2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g*t**3 - 947058*g*t**2*x - 8*g*t - 3*t - 3*x + 28 wrt t?\nAnswer: -18*g*t - 1894116*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.251681kg?\nAnswer: 7251.681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 13*v + 13. Let z be l(15). Let m = -11 - z. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/23*b**5 - 188\/23*b**3 + 306\/23 + 186\/23*b - 284\/23*b**2 - 22\/23*b**4 = 0. Calculate b.\nAnswer: -3, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 1. Let s(c) = -2*c - 1. Let r(a) = -a**3 - 8*a**2 + 36*a + 36. Let o be r(-11). Determine o*s(m) + 4*t(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 2)*(0*r - 4*r + 2*r)*(18*r**2 - r**3 - 8*r**3 + 8*r**3).\nAnswer: -8*r**4 + 144*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/69839103 and 46\/15.\nAnswer: 349195515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 15 = d. Suppose 3*o = 56 + 40. Suppose -d*b = -o - 70. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((3*sqrt(80)\/sqrt(5))\/(sqrt(8) + (-3*sqrt(48))\/sqrt(6) + sqrt(8)))**2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i - 72. Let t be (-7)\/i + (-4)\/18. Which is the third smallest value? (a) -4\/9 (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118 - 109. Solve y = 4*a - 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/4 - 3\/4. Let s(m) = -m - 5. Let q be s(-4). Which is the second biggest value? (a) 0.4 (b) q (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from {o: 2, r: 1, d: 2, a: 4, i: 2, g: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132 (base 11) to base 7.\nAnswer: 4223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -0.09 (c) 0.4 (d) -3 (e) -12\/7 (f) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 2. Calculate the remainder when 52*3\/d + 1 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, f: 12}. What is prob of sequence fffe?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.59 + -2.89. Let c = i + -15. Sort 2\/7, 0.3, c in ascending order.\nAnswer: c, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2185 - -21821\/10. Let n = 434 + -3902\/9. What is the common denominator of p and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t. Let z(n) = 8758*n**2. Calculate u(z(i)).\nAnswer: -43790*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3610.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 32*j + 11*j + (0 - 4 + 3)*(-j + 0*j + 3*j) - 143*j + 9*j + 12*j to the form a*j + t and give a.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-2 + -1 - (-13 + 7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -118 - -289. What is the highest common factor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/11, -4, -9, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 + -100212122002220021?\nAnswer: -100212122002212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*s = -32*s + 94*s - 1647 - 8176 for s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 10. Let i = -40 - -45. Let n(d) = -d + 6. Let m be n(3). Solve m*z - 4*q = 5*z, -l*z = i*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -169 - -142. Let z = -27.3 - m. Which is the nearest to 0.01? (a) 0.2 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 155461296 to the power of 1\/2, to the nearest integer?\nAnswer: 12468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/165475 at least 1\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14072 is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8762 and 0.122?\nAnswer: -1068.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzizrprpryizybyrzr. Give prob of picking 1 p and 1 b.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664686 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 142 (b) -0.4 (c) 1814 (d) 4\/9 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139798 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/(a**17\/a)))\/((a*a**2*a)\/a*a))\/(a**(-40)\/a**(-44)) assuming a is positive.\nAnswer: a**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 51090411.\nAnswer: 255452055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 y, and 1 u when three letters picked without replacement from turruuttjyujjuyjyrr.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**5\/20 - 3*c**4\/4 + 5*c**3\/3 - 8*c**2 + 443*c. Calculate g(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/2 + 13381*p**4\/2 + 40131*p**3\/2 - 40141*p**2\/2 - 46820*p + 40134 = 0. What is p?\nAnswer: -13378, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*j - 8337 + 651 + 534 = 7852 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 - 29 - 31 - 25*p**2.\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - i = i - 10, 4*i = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.58048723 to the nearest integer.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.56927 + -279.9.\nAnswer: -279.33073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 5*x**3 - 2*x**3)*(8*x + 5*x + 0*x).\nAnswer: 13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 5*a**6\/6 - a**5 - 55*a**4\/4 + 145*a**3\/3 - 65*a**2 + 40*a + 1527. Factor w(v).\nAnswer: 5*(v - 2)*(v - 1)**3*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 + -18 + 9 - (33 + -17)) + 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 884.7794 weeks in seconds?\nAnswer: 535114581.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8 - 303*k**2 + 616*k**2 - 312*k**2 - 11*k. Determine r(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 687*x**2 - 7*x - 5. Let q be h(-1). Let y = 774 - q. What is the remainder when y is divided by 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**3 - 611*m**2 + 289*m - 817483?\nAnswer: -6*m**2 - 1222*m + 289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7344 divided by 3672?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 4488\/564067 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6628257 * -4\nAnswer: -26513028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 - 31. Let w be q(0). What are the prime factors of (2 + -3)\/(w\/29078)?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 1:24 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 160761 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28719336?\nAnswer: 2, 3, 19, 62981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1545954 and 16.\nAnswer: 12367632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 3, 323, 1\/2, -2\/13, -0.0575, -1\/2?\nAnswer: 323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 799 + -493. Suppose 0 = -t - 5*t + p. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 270 + 40322\nAnswer: 40592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-19)*t)\/t**(1\/23) assuming t is positive.\nAnswer: t**(482\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17.975685 months?\nAnswer: 1.49797375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 531 and -90.85?\nAnswer: -48241.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*n - 1651 = -7163 for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 498*l - 41. Calculate v(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buddupppp. Give prob of picking 2 d.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -647 + 649. Let m = -2.443 - -0.043. Which is greater: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183 (base 11) to base 13.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**3 - 12*m**2 + 14*m + 80. Let f(a) = a**2 + 12*a - 20. Let d be f(2). What is the units digit of w(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 1\/3*v**4 - 2*v**2 + 0*v**3 - 3*v - 2. Let n(r) be the first derivative of y(r). Factor n(m).\nAnswer: 4*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgwxgxkooxwookbg. Give prob of sequence wkk.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/7 + 36846*w\/7 + 113135643\/7.\nAnswer: 3*(w + 6141)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/45)\/(-2)*67\/((-3685)\/(-198))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48170813 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.42 - -8.32. What is the smallest value in 24, f, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 10:48 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 0.173?\nAnswer: 3.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 9) to base 2\nAnswer: 1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264549 is divided by 4199?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 4\/5, -1\/85, 42\/2801, 3 in decreasing order.\nAnswer: 3, 4\/5, 42\/2801, -1\/85, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 51*b**2. Let t(r) = -52*r**2. Suppose 221*h = 336 + 769. Calculate h*t(u) + 6*p(u).\nAnswer: 46*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (4 + 2 - 21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -28*z**3\/9 + 524*z**2\/3 + 608*z\/3 - 99. Factor v(t).\nAnswer: -4*(t - 38)*(7*t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, l: 2, k: 15}. Give prob of picking 1 l and 2 k.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -747*f**4 - 52548 + 52548 + (2*f**2 + f**2 - 2*f**2)*(-2*f**2 - f + f).\nAnswer: -749*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11873690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**2 - 4*z - 2. Let x(f) = -f**3 - 13*f**2 - 15*f - 9. Let c be (-184)\/736*((40 - 3) + -1). What is c*a(q) + 2*x(q)?\nAnswer: -2*q**3 + q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 - 45*x - 127. Calculate f(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 61965192 divided by 654\nAnswer: 94748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 2*l + 41 - 23 = 0, 0 = 5*r - 4*l + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*d - 9. Suppose -4*m + q + 48 = 0, 5*m + 0*q - 60 = 4*q. Suppose -a = -m + d. Calculate the highest common factor of 33 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + 35 + -36?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1382 - 1370. Let l = 42 - 12. What is the smallest common multiple of l and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1875 + 941 - 191*u + 934.\nAnswer: -191*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 - 5) - (1 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence add when three letters picked without replacement from {s: 1, a: 4, u: 1, d: 2, f: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 31*u - 1. Does 10 divide h(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*u - 20, 4*u = 3*v - 5*v. Solve -u*j = -0*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-72)\/(-33) + (-2)\/11. Put 3, -4, i in decreasing order.\nAnswer: 3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28.91 - -0.91. Let l = 0.196 - -28.004. Let b = l + j. Which is smaller: b or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 + o - o**2 + 88*o**3 - 86*o**3 - 1 - 3*o as m*o**3 + w*o + l*o**2 + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.59 + -0.6. Let h = i + -1.99. What is the smallest value in h, 2, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53483827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + k**2 + k + 9. Let f be v(-2). Suppose 8 + 1 = -f*p, -p = -5*n + 4368. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191339, -382497, -573655, -764813, -955971, -1147129?\nAnswer: -1338287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1032*q - 1014*q = 108 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**5 + 646*j**4\/5 - 184*j**3 + 264*j**2\/5 = 0?\nAnswer: -66, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -858*i. Let b(w) = 30*w. Calculate b(y(g)).\nAnswer: -25740*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/30 and -91\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75 or 3?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6)*-3 + 252\/36. Let v(c) = -16*c. Let q be v(-1). Find y, given that -f*y**4 + 0 + 4*y**4 + 12 + 4*y**2 - q*y**3 + 16*y - 12*y**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15303869.\nAnswer: 7, 769, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 10869535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 u, and 1 s when three letters picked without replacement from sueysu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2 - 186*g - 176. Let d be r(-61). Put -1, 14, 3, d in decreasing order.\nAnswer: 14, d, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 6*h**2 - 3*h - 3. What is s(7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884 divided by 628?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 + -4)\/((-2)\/(-1)). Solve 5 = -5*k + w*v, 4*k - v = -3*v - 26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18477?\nAnswer: 3, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 4) + 3*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -749739, -1499477, -2249225, -2998989, -3748775, -4498589, -5248437, -5998325?\n\"Answer: -y**3 + y**2 - 749734*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6720286253?\nAnswer: 2221, 3025793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*((-35)\/(-20) - 1). Suppose -2*k + 4*y - 3 - 15 = 0, 24 = -k - n*y. What is the smallest common multiple of 10 and (-2)\/(-4)*(1 - k)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/(1\/(-86)). Let x = k + -36. Suppose 0 = x*j - 6*j - 511. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7624*k - 13*k**2 + 38712*k**3 + 3*k**2 - 4*k**4 - 38696*k**3 wrt k?\nAnswer: -48*k**2 + 96*k - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = -11. Suppose 0 = 18*k - n*k - 222. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, j: 4, f: 8}. Give prob of sequence jj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5272.3*-0.078.\nAnswer: 411.2394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*l - 8*l + 7632 = 19*l. Solve 0 = 3*h - 4*a - 5, -2*h + 11 = 77*a - l*a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*i + 136, 3*i + 2*c - 2 - 86 = 0. Suppose i*l - 26*l = 18390. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.4, -0.1, -1\/4, 25 in decreasing order.\nAnswer: 25, 1\/2, -0.1, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.348 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1205?\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271467554.\nAnswer: 2, 19, 7143883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 28448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -283175*q - 27184785. What is z(-96)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 241.2 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*d - 5 = 0, -35*m - 4*d + 45 = -40*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1448*r + 6679*r + 710*r + 477600 = -3611*r for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.13 + -0.66. What is d rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/5 of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**5\/23 - 12*a**4\/23 + 324*a**3\/23 - 1728*a**2\/23 + 162*a - 2916\/23 = 0?\nAnswer: -18, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(396) - (2 + sqrt(396) + 3)**2) + -4 + (-4 + 1 + sqrt(396))*6)*4.\nAnswer: -1768 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6468540 by -780.\nAnswer: -8293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v**2 + 2*v**2 + 3*v**2)*(-162462 + 162462 - 2657*v) as c*v**3 + w*v + f*v**2 + a and give c.\nAnswer: 2657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1000010100 (base 2) to base 11\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2247, -4489, -6731, -8973, -11215?\n\"Answer: -2242*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 780660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 370 + (-9 - -6)\/(-2 + 1). Suppose 1005 - s = 8*h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y - 1. Let o be v(3). Let c = o + 17. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8648 = -8*c - 273*c + 6789 - 263 for c.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 22.8. Let f = -6 + y. Let w = 1.2 - f. Sort w, -2\/7, 0 in increasing order.\nAnswer: -2\/7, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/13 or -1800590?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1168\/3 + 390. Factor s*o + 1\/3*o**3 - o**2 + 0.\nAnswer: o*(o - 2)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 5. Let g(k) = k**2 + 3*k - 1. Let p be g(-4). Let s = 3 - p. What is z(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18649642*p**3 + 15839682*p**2 wrt p.\nAnswer: -111897852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 26.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 54, 58, 64, 72?\n\"Answer: f**2 + f + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*z + 27, -46 = -z + 5*c - 18. Suppose -z*y + n = -23475 - 55109, 3*y - 3*n - 78594 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3945903223.\nAnswer: 19, 109, 461, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 443 - 261. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11675 + -11728. What is the closest to 0 in l, -1\/4, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1313*z - 6234. Calculate y(5).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446257107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**4\/4 + 141*d**3\/2 + 366*d**2 + 1035*d\/2 + 891\/4 = 0.\nAnswer: -3, -1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 144.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62885, 62876, 62867, 62858?\nAnswer: 62849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7017 - -7057. Suppose -114 = 8*z - 11*z. Solve f*i = z*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 545366455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 0*k + 24. Let f be 13\/(-26) - 126\/k. Let p = -79.5 - -79.4. Is f equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/n*n*(n*n**1\/n)\/n)\/(n**(-9\/7))**(-14\/5) assuming n is positive.\nAnswer: n**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/33? (a) 2317 (b) -5\/3 (c) 3 (d) -3\/5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 9 - 6 - 1 = 0, k - 2*r = -15 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.273 in -5, -1\/2, 21\/8?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.072 + 87.928. Let s = o - 87.922. Let w = s + 0.01. What is w rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g + 73 = -19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*b + 0 + 0 + 66*b.\nAnswer: 178*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66079 and 11999?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 i when three letters picked without replacement from {t: 4, i: 10, v: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2438 and 248719\/102 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(-4 + -2 + sqrt(304) + sqrt(304))*2.\nAnswer: -80*sqrt(19) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -66 in 9, 2\/25, 0.01, 4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 84 - 229*p + 79 - 240.\nAnswer: -229*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229650 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-42))\/((-6)\/(240\/(-50)))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00133329 rounded to 5 dps?\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -884 - 3*f**3 - 929 - 927 - 927 + 3667.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/19804290 and 129\/440.\nAnswer: 79217160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 1\/2*r**2 - 2\/3*r**3 - 54*r + 0. Calculate y(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(325) - sqrt(13)))**2 - sqrt(13)) + 5 + ((-5*sqrt(26))\/sqrt(2) + sqrt(13) + 5)**2.\nAnswer: -41*sqrt(13) + 1070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g + g**2 + 5*g + 2*g**2 + 9*g**2 + 20*g**2 + (-g - 2*g + 2*g)*(2*g + 2*g - 2*g).\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 481, 1406, 3291, 6454, 11213, 17886, 26791?\nAnswer: 38246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2227 (b) -2 (c) -1\/4 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 45*n**2 - 6*n + 2. Determine r(45).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 85*w**3 + 26*w + 12. Let j(g) = 83*g**3 + 22*g + 10. Give 7*j(c) - 6*n(c).\nAnswer: 71*c**3 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -284, -9, 10, 1 in ascending order.\nAnswer: -284, -9, -2, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 23. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 4*q - 390. Let o be (-4)\/22 - 9\/((-594)\/12). Suppose o = -7*d + 100 + 628. Calculate the highest common factor of q and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869941904 a multiple of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -204a0 (base 13) in base 5?\nAnswer: -3323203","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 - -103. Let u be 20*((-6)\/(-24) + i). Solve 24 = -u*d - 4*h, 3*d + d + 13 = 3*h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/42*(-1323)\/594. Which is the fourth smallest value? (a) w (b) 0.4 (c) 0.3 (d) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40.763*-13.77.\nAnswer: 561.30651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-2) + 3611*(-33)\/(-34914)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvrvvvveevrrer. Give prob of picking 1 v and 3 r.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 5908 = 4972. Suppose -632*s + r*s = 4288. Calculate the highest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 206, 17, -328, -853, -1582, -2539, -3748?\n\"Answer: -4*o**3 - 54*o**2 + o + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 2884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*a - 128 - 32 = 0. Let -4\/13 + 2\/13*n**a + 2\/13*n = 0. Calculate n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -183?\nAnswer: 9.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 4:35 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2 + sqrt(108)*3 - sqrt(108))**2 - (-5 + ((sqrt(3)*5)**2 - sqrt(3)) + sqrt(15)\/sqrt(180)))*-3.\nAnswer: -1089 + 283*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*m - 668206, -39*m - 668171 = -41*m - 3*l. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 212*m - 13*m**4 + 114*m**2 - 70*m**2 + 2*m**5 - 7*m**3 - 68*m + 265*m**2 - 3*m**5 - 1728.\nAnswer: -(m - 3)**2*(m + 3)*(m + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 26220*h**2 + 7*h - 7. Let l be x(1). What is l rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(-1*sqrt(75)).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 - 156*v**2 - 78*v + 6110. Give m(78).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -5.4. Let h(f) = f**2 + 5*f - 1. Let n be h(-4). Which is the second smallest value? (a) u (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -35, -53, -71, -89?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:08 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 0*z**5 - 31 + 4\/3*z**3 - 7*z**2 + 0*z - 46\/3*z**6 + 0*z**4. Find the third derivative of l(s) wrt s.\nAnswer: -5520*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, -26, -56, -96, -146, -206?\n\"Answer: -5*y**2 - 5*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = -7*o + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27295, 54599, 81903, 109207?\n\"Answer: 27304*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 906 = 105*l - 525 + 66 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2665 and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, o: 2, l: 1, p: 3, i: 1}. What is prob of sequence oppi?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83.07 - 2237.73. Round a to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1485 by 15.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 3, -1, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:30 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 4:00 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -568 + 296 = -76*j + 336. Solve 29*i - 25*i = -j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1653030.\nAnswer: -9918180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -8 (b) -0.01 (c) -5 (d) 2 (e) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 18, -109.04, 3?\nAnswer: -109.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455 + 40 = -5*p. What are the prime factors of p?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 20*k. Let w(i) = i**2 - 2*i - 7. Let o be w(5). Let g = 10 - o. Let q(u) = -31*u + 2*u**g + 31*u. Give l(q(t)).\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2. Let n(c) = 89646588*c. Calculate n(k(z)).\nAnswer: 89646588*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2220 = -334*k + 482*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -10aa81?\nAnswer: -10aa81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26 - 117?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 8 - 2 - 7. Let z be t(7). Which is the closest to -1\/3? (a) -3\/2 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j - 23. Suppose -31*q + 33*q - 6 = 0. Let c be q\/15 - (180\/25 + -1). Determine o(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -956.6462 - -4648671.6462. Let k = o + -4647715.2200117. Let s = 0.22 + k. Round s to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110110 + 110?\nAnswer: 10111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from xefvreggxxxegrx?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 6 = -17*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27.6, -0.16, 3\/5, 3.\nAnswer: -27.6, -0.16, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1434205?\nAnswer: 5, 17, 47, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79421539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 1183 - 239. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n. Let l(f) be the first derivative of 0*f - 3 + 0*f**2 + 58\/3*f**3. Determine i(l(d)).\nAnswer: 232*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 7*k**2 - 30*k + 283. Let y be j(6). Solve 0 = 18*n + y - 85 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2 = j + 3*r, -2*j + 6 = -4*r. Let d be -2*((-2)\/4 - (-2 - -1)). Let p be -8*(-13)\/468*(16 + d). Which is the nearest to j? (a) 0.5 (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/28, 85568, -3, 2\/3 in ascending order.\nAnswer: -3, -9\/28, 2\/3, 85568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/(-1 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**5 + 39090*d**4 - 468540*d**3 + 1405080*d**2.\nAnswer: -5*d**2*(d - 7806)*(d - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 167*k**5\/6 - 2761*k**4\/3 + 21641*k**3\/3 - 54770*k**2\/3 + 25389*k\/2 - 759 = 0?\nAnswer: 11\/167, 1, 3, 6, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5*o)\/o**1*(o**(4\/5)\/o)\/(((o**(-9)*o)\/o)\/o) assuming o is positive.\nAnswer: o**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j = -18. Suppose 8 + 20 = 2*l. Let v = l - j. Solve 4*x + v = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61\/114 - 2\/57. Which is the nearest to z? (a) -15 (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*t + 499 = 122 + 1817 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 91643728 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**41*i*i)*i*i\/(i*i**(-2\/3)))\/(i\/i**(8\/11)*i*i\/(i*i\/(i*(i*i**(17\/6)*i)\/i*i)*i*i*i)) assuming i is positive.\nAnswer: i**(-2933\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*y - 26, 5*k + 10 + 0 = -y. Let d(l) = 5*l + 11 - 3*l - l. Let r be d(y). Solve -t + 4 + r = 3*v, -5*t + 2*v - 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2161 - 2162.9936. Let j = -3 - -1. Let v = p - j. Round v to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034454387 minus 6.51?\nAnswer: -6.475545613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139384633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 178, 224, 268, 298, 302?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6570 * -3\nAnswer: 19710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 88796415 to the power of 1\/2, to the nearest integer?\nAnswer: 9423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 101, 97, 103, 125, 169, 241, 347?\n\"Answer: d**3 - d**2 - 8*d + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-140)\/42 + (-9)\/(-3))*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 7:21 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**5\/30 - c**4\/4 + 2*c**3\/3 - c**2 + 2*c. Let n(o) be the first derivative of p(o). Find w such that n(w) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 + 0 - 4 - 2)*1009. Suppose -3*t + d = t + w, -5*w + 1250 = 5*t. What is the remainder when t is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20141298 divided by 248658?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 1:13 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1143\/2 + (-13)\/(-26). What is the greatest common factor of r and 3289?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -624*n - 209*n - 203*n.\nAnswer: -1036*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/(18 - (-85785)\/(-4760)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -688.68\nAnswer: -690.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 2*s**2 - 3*s + 2. Suppose -54*t - 65 - 123 = 28. Let m(h) = h - 1. Give t*m(p) - o(p).\nAnswer: p**3 - 2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 4*t**2 + 2*t - 2. Give g(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -9 - 26. Put 11, 2, b in decreasing order.\nAnswer: 11, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -341.606 to zero decimal places.\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2*(1\/1 - -5). Suppose -6*f + 4*n + 84 = -2*f, j*n + 47 = 2*f. Suppose -8*i - 440 = -f*i. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 4) to base 14\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = c - 337. Suppose 0*y = -3*y + c. Let b = y + -57. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 45 = 3*m, m = 4*j - 7 + 5. What is the hundreds digit of (-2 + 5\/m)\/((-2)\/388)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27574 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 9 - 289. Suppose h + i = 5*h. What are the prime factors of -1 - (-7)\/(h\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 25*v - 11. Let a be w(-13). Let j be (-12370)\/(-30) - a*(-1)\/3. Suppose -13*t = -j - 68. What is the remainder when t is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6702?\nAnswer: 2, 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.053, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 9 + j)*(72 - 11 + 11)*((0 + 4 - 5)*(j - 3*j + 4*j) + 0 + j + 0) to the form z*j + m*j**2 + a and give m.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 67134064.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*c - 16, m + 16 = -3*m + 2*c. Let p be 1 + m - (-119)\/17. Suppose p*v - 315 = -v. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1191, -1115, -975, -759, -455?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 2*i - 2. Let l(z) = 9*z**2 + 6*z + 6. Let v(f) = -f + 1. Let r(d) = i*l(d) + 6*v(d). Differentiate r(k) wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 11) to base 3\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1251\/5 + 249. Let r be (16 + -17)\/(3 - 0 - 2). Does r = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608504.8 centimeters in nanometers?\nAnswer: 6085048000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d - 84. Let v be s(-12). Solve v*k + 3*k = 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9443 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 9*v**2 - v - 5. Let k be t(-9). Suppose -k = 3*b - 1. Let y(n) = -n + 1. Is y(b) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12182501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0414 - 0.3414. What is the closest to 0 in m, -3, 18?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/4 + 1816237*x\/4 - 908119\/2 = 0 for x.\nAnswer: -1816238, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z**3 - 9*z**3 - 5*z + 21*z**3 + 5*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x - 2 - x - 3 - 6. Let z be f(9). Suppose 2*s + 4*c - 56 = z, 2*c - 2 = 0. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(5*m - 3*m - 4*m)*(4 + 7*m**2 - 4).\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -148*o**3 - 282*o**2.\nAnswer: -888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iiiiiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20100222222 (base 3) to base 9\nAnswer: -210888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*c - 14*c - 12*c)*(0 + 23 - 3 + (0 + 1 + 0)*(-1 + 2 + 1) - 4 + 4 - 1)*(-2*c**2 + 0*c**2 + 4*c**2) to k*c + g*c**3 + f + l*c**2 and give g.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 - -47) + (-4 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 276260631385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -139, -327, -579, -889?\nAnswer: -1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6292679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.215 or -9?\nAnswer: -0.215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 59*m**2 - 1036*m + 1504. Give r(16).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19, -16, -15, -16, -19, -24?\n\"Answer: -o**2 + 6*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 482*t**3 + 6*t**2 + 6*t + 268. Let r(g) = 479*g**3 + 7*g**2 + 7*g + 268. Let v(f) = -7*b(f) + 6*r(f). Differentiate v(n) with respect to n.\nAnswer: -1500*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59540 + -39375. Does 96 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*w + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.65208 days in seconds?\nAnswer: 5067539.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -135 at most as big as -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95\/2 of a litre?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 5*x + 3. Let j be y(-3). Find the common denominator of 55\/6 and j\/(-3) + 190\/(-36).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 4179.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 take away -31305689?\nAnswer: 31305669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 668.8592 kilograms in nanograms?\nAnswer: 668859200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4*t)\/(t\/((t*t\/((t\/(t**(-13)\/t))\/t))\/t*t*t*t)))**(4\/9)*((t\/(t\/(t\/t**(-1\/4))))\/t**3)\/(t**(6\/11)*t**0*t) assuming t is positive.\nAnswer: t**(-787\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7368*l**4*q**3 - 3*l**3*q**3 + 48*l*q**3 - 6*q**3 + 4*q wrt l?\nAnswer: 88416*l**2*q**3 - 18*l*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, 1, -137, 3 in descending order.\nAnswer: 3, 2, 1, -20, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 123. What is the remainder when b is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*i = 5*f - 31, 2*f + 3*i + 6 = 0. Let j(p) be the third derivative of 3\/40*p**6 + 1\/4*p**5 + 1\/8*p**4 + 0*p + 3*p**2 - 1\/2*p**f + 0. Factor j(v).\nAnswer: 3*(v + 1)**2*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*c + 15*c - 8*c)*(6 - 1 + 1)*(-3 - 2 + 3).\nAnswer: -252*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c (base 14) to base 6.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1*(-10)\/5)\/3)\/((-4)\/42)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1929*s - 1652*s + 4613*s - 1625*s.\nAnswer: -593*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*t**2 + 26*t**2 + 184 - 89*t - 90*t + 179*t to the form q*t**2 + y + d*t and give y.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-225)\/(-108))*-9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 2650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1180*s**2 - 7*s + 1736*s**6 + 2024*s**2 - 1074*s**2 + 7*s wrt s?\nAnswer: 208320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403760.\nAnswer: 2, 3, 5, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -20.5. Let a = u + 20. What is the third biggest value in a, -2, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -102, -105?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47045057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132014230 (base 6) to base 3.\nAnswer: 11220212002100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -33. Let q = 73 + k. Let r = -53.9958 + q. What is r rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 7.\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(sqrt(18)*-2))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 3:53 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -78, -2, -1.\nAnswer: -78, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than or equal to -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594593009 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x - 21*x + 6*x - 15*x in the form a*x + n and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2. Let p(z) = z + 3. Let o be p(-4). Let x(m) = -1. Let b(f) = -121*f + 5. Let c(a) = o*b(a) - 5*x(a). Determine u(c(q)).\nAnswer: 14641*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187005?\nAnswer: 3, 5, 7, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -160*y + 33 - 109 - 3284 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 888 and 91455?\nAnswer: 27070680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 289*t**4\/24 - 643*t**3\/6 - 209*t**2 - t. What is the first derivative of p(w) wrt w?\nAnswer: 289","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143 (base 5) to base 4.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 2*m - 3. Suppose -32 = 4*u - 4*v, -2 = 4*u + 3*v - 5. Let g = -1 - u. What are the prime factors of t(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22dba (base 15) in base 16?\nAnswer: -1b1fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 755*v**5 - 2*v**3 + 163*v**2 + 59200*v + 75 wrt v?\nAnswer: 15100*v**3 - 12*v + 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 6*z + 5*z + 2 + 1 + 17*z to w*z + h and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9220 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -30. Suppose 5*n + 6 = x*n. Suppose -n*w + 13*w - 13710 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104230867 to the power of 1\/3, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ombmommmmbbsmbssbsm. Give prob of sequence bsbs.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480 = -762*i + 1002*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8*t = -7*t - 2, -k + 4*t - 8 = 0. Put -8, k, 10 in descending order.\nAnswer: 10, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*v + 309, -4*d = -d - 3*v - 315. Calculate the highest common divisor of 27 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14335, 12875, 11415, 9955?\nAnswer: 8495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10695 is divided by 2136?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.89834062 to three decimal places.\nAnswer: -9.898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 15, -9 in increasing order.\nAnswer: -12, -9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29716 - 52639 = -65*t. What are the prime factors of t?\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7468, -29898, -67280, -119608, -186876, -269078?\nAnswer: -366208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-11 - 1) + 1877 + -1862.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -170.919568 to two dps.\nAnswer: -170.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, i: 2, w: 3, z: 1, u: 3}. What is prob of sequence ewe?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66616.27g to milligrams.\nAnswer: 66616270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 14 = -10, 30 = -3*y + 5*z. Which is the closest to y? (a) -14\/5 (b) 2 (c) 0.4 (d) 16\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279846 - -17627.\nAnswer: 297473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203 = -18*o + 47*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54456560?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14279, 14233, 14187, 14141?\nAnswer: 14095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 10606?\nAnswer: -10603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 49 = -3*v + h, 56 = 4*v + h. Let z be (-6 + v)\/27 - 5\/(-12). Which is the third biggest value? (a) z (b) 2 (c) 1\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -11.8. Let g = -1.7 - v. What is g rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*n - 13 = 0, -h + 0*h + 6 = -2*n. Which is the nearest to 0? (a) h (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299094 is divided by 730?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -147 - 134 - 2*j + 48 + 2*j**4 + 57 + 295566*j**2 - 295796*j**2 wrt j.\nAnswer: 24*j**2 - 460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29235 - 29221. What is the third biggest value in b, 0.4, -0.4, 141?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + -5)\/(-1 - -3). Let m be (2\/h)\/(6\/1236). Let c = 154 + m. Calculate the remainder when c is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b - 6 - 1 + 0*b + 0 in the form c + x*b and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxkxxxx. Give prob of picking 2 x and 1 k.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 6 = b. Suppose 0*c = -5*c + 195. Suppose -2*d = z - c, 3*d - b*d = 5*z - 41. Calculate the least common multiple of 2 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 + -66. What is the highest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -370 - -623. Let a = h + -252.9. What is the third smallest value in 0.3, 5.8, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*t + 2*g - 8, 2*g + 7 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 12. Suppose 4*c - 3*w + 7 + o = 0, 0 = -5*c - 5*w - 65. What is the units digit of 6\/c - (-715)\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28, -65, -112, -175, -260, -373, -520?\n\"Answer: -j**3 + j**2 - 33*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*n**2 + 49*n - 37*n**2 + 5*n**2 + 9*n**2.\nAnswer: 3*n**2 + 49*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-1 + 15\/5). Solve -d*b = 3*b - 3*u + 40, 3*b = -3*u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (2 - -6) - (215 + -222)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(19))*5.\nAnswer: -10 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066228630 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26338 + -26296. What is the remainder when 9362 is divided by o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 161\/23*((-2)\/38)\/((-5)\/15). Is 8 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 4*f + 162 = -8*h - 14*h, 0 = 5*h + 3*f - 62 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2732 * -0.153.\nAnswer: 417.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (26\/4)\/((-47)\/(-94)) - ((-680)\/(-153) - -13)\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23225583578 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 808 and 808.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - a = 18, 5*a + 0*a - 2 - 48 = 5*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77710720 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 723, 1\/3, 11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 2:55 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/341359 and -34\/2291.\nAnswer: 341359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.2. Let c = -0.264 - -0.264. Sort -5, c, i, 1.\nAnswer: -5, c, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51650 - 6?\nAnswer: -51656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5323\/7 - 760. Put 2\/11, -1\/7, b in ascending order.\nAnswer: -1\/7, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839525733?\nAnswer: 3, 93280637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 499734 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3622 is divided by 557.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 19*h**3 + 16*h**2 + 20*h**4 + 0*h**5 - 51*h**3 + h**5 - 5*h**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(2*a**2 - 3*a**2 + 3*a**2) + 0*a**2 - a**2 + 3*a**2 - a**2 - a**2 + 3*a**2 + 4 - 4 + a**2 - 3*a**2 - 2*a**2 + a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*1\/(-6) - 108720\/(-5400).\nAnswer: 79\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -316\/7 + 976\/21. What is the closest to 1 in 10\/19, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 1:17 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(n**2 + 0*n**2 - 2*n**2) + 2*n - 2*n + 3*n**2 + (0*n + 0*n - n)*(-4 - 2*n + 4) - n**2 - 4*n + 4*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.2, 0, 620.6, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/80 in 3, -23, -48\/71?\nAnswer: -48\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*p + 2*p. Let d be 1\/(p\/156*4\/3). Let r = -35 - d. Solve -q + 3 = 5*v - 0, -r*v = 5*q + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + -42. Let h = f - 14. Suppose 2*d - 8 = -2*q, 4*q - 7 - h = -5*d. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*132\/(-88).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -i + l + 6, 3*l + 17 = 4*i. Put i, -3, 0 in descending order.\nAnswer: i, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 317, 1543, 3573, 6395, 9997?\n\"Answer: -2*v**3 + 414*v**2 - 2*v - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1184709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/125*60\/8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38714.\nAnswer: 2, 13, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -22*t + 5. Let s(u) = 3*u**2. Determine f(s(d)).\nAnswer: -66*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2396 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.545974 from -4.\nAnswer: -3.454026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + 0)*6)**2 - (sqrt(3)*2*-6 - (1 + sqrt(300))).\nAnswer: 22*sqrt(3) + 10801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20259581 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*g*k**6 - 8*g*k**2 + 261*g*k + 2*g - 15758*k**6 wrt k.\nAnswer: -600*g*k**3 - 1890960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*t - 140, -2*c + 28 = t + 2*c. Suppose x + 57 = 2*d, 0 = -2*d + 6*d - 3*x - 115. What is the highest common divisor of d and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -64, -82, -96, -100, -88, -54, 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 361759 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -31. Let u be (27\/36)\/(z\/(-40)). What is the remainder when 86 is divided by (0 - 0 - u)*(-37)\/(-37)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 280362415 to the nearest integer?\nAnswer: 16744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = 513. Suppose -3*b + 1554 = t. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -2.5. Let h be -3 - (28\/(-5))\/2. Which is the biggest value? (a) k (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 2:20 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h - 21. Let l(k) = -17*k + 42. Let z(q) = 4*l(q) + 9*o(q). Let w be z(14). Let b = w + -34. Sort b, 0, 11 in ascending order.\nAnswer: 0, b, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5738 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 111? (a) -4\/7 (b) -683 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1908301636 to the nearest integer?\nAnswer: 43684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-18)*-3)\/((-10)\/(-30)). Let v(j) = -4*j**3 - j**2 + j + 1. Let z be v(-1). Let i(d) = -7*d**2 - 5 - d + 3*d**z - f*d**3 + 11 - 1. Calculate i(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. Let w = 1.2 - 1.2. What is the nearest to w in 4, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 20*i**2 + 20*i + 3. Let n be (2 + 69\/(-6))*-2. Let y be c(n). Calculate the greatest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 7.3. What is the third smallest value in -0.1, -4\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 - 113. Let r = 2.9 - -0.1. Let k = -49\/495 + -2\/165. Sort r, z, k.\nAnswer: k, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 6*d**2 - 11*d - 13. Calculate m(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4449 - -2283. Let u be 18\/4*(-2822)\/(-6). Let f = u + v. Find the common denominator of -52\/11 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 15 (c) 20\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*p - 62784 = -9784. What are the prime factors of p?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - (2 + 4)) + 141 + -139?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 43663568 and 101.09.\nAnswer: 43663669.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514706053.\nAnswer: 514706053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 5*n**2 - 5*n - 1. Let m(c) = -c**3 + 10*c**2 - c + 14. Let g be m(10). Calculate u(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26746.84us in nanoseconds?\nAnswer: 26746840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/(-6)*195\/(-2925))\/(3\/(-27))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5)\/y*y**(2\/11))**9)**(4\/27) assuming y is positive.\nAnswer: y**(-92\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -13. Factor -m + 6*t**3 - 4*t**2 - 4*t**3 + 3.\nAnswer: 2*t**2*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 - -194. Let t = r + -145. What is the smallest value in -3\/2, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22230 divided by -234?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*h**5 + 16*h**5 + 22*h**5 + (5*h**5 - 4*h**5 - 2*h**5)*(19 - 84 - 99).\nAnswer: 163*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {q: 6, m: 4, d: 5, z: 4}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 2. Let v be 4\/r - (-133)\/21. Suppose -4*c + 168 + 84 = 0. Calculate the greatest common divisor of v and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2)\/(w**(1\/6)*w)*(w**0)**(1\/13))\/((w**(-1))**10\/(w**(-2)*w\/w**(1\/3)*w)) assuming w is positive.\nAnswer: w**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 231*v - 225*v - 29 = 50, 2*r = 39*v + 5 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 218951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 513977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkxxkkxkk. Give prob of picking 1 x and 1 k.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34651 + 34649. Sort 12, -3, 4, g in descending order.\nAnswer: 12, 4, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/188154 and -107\/37881672.\nAnswer: 113645016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a = -13*a - o + 8, 5*o = 3*a + 26 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (8 + -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 0 - 12 = -5*l, -5*l - a + 14 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -392, -395, -258, 37, 508?\nAnswer: 1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 295845 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, b: 3, v: 3, j: 3, x: 1, c: 1}. What is prob of picking 1 v, 1 x, and 1 j?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(245)*2 - (sqrt(245) + -2 + sqrt(245) + 5)) + 2.\nAnswer: -1 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -2.649, -13.247?\nAnswer: -2.649","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1652 divided by -59?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1231 + 231 = 10*v. Let l = 115 + v. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 + 3*x**2 - 131*x + 30. Determine t(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1440369 = -250*r + 223*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 5*h**2 - 11*h - 37. Let x be l(-6). Sort x, 1\/2, 3 in increasing order.\nAnswer: x, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.501636ug to grams.\nAnswer: 0.000001501636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -60. Suppose 4*h + 0*c = 3*c + 31, 23 = n*h + 5*c. Calculate the lowest common multiple of 10 and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1221031211 (base 4) to base 12\nAnswer: 189485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and ((-1)\/4 + (-45)\/(-20))\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -395*m**5 - 2*m**3 + 8*m**2 - 74306*m wrt m?\nAnswer: -7900*m**3 - 12*m + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b + 2*a + 40, -2*b - 55 = 5*a. Let u = 38 + b. Calculate the greatest common factor of 92 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -20*d**2 - 13*d + 4. Let o(x) = 41*x**2 + 26*x - 7. Let s(z) = -4*o(z) - 7*q(z). Find the second derivative of s(i) wrt i.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 10 - 2. Let k be (-56)\/n - 2\/(-6)*2. What is the tens digit of 5\/k + 85\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 85 + 15463*s**2 - 15464*s**2 + 27 in the form j + c*s**2 + u*s + b*s**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3846, -14782, -32806, -57918, -90118, -129406, -175782?\nAnswer: -229246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16351196665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*c - 130*c + 1463 = -240*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23219, -23209, -23185, -23141, -23071, -22969, -22829, -22645?\n\"Answer: x**3 + x**2 - 23221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 98, 336, 738, 1310, 2058, 2988, 4106?\n\"Answer: k**3 + 76*k**2 + 3*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 45 - 14 = -41, 2*y = o - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5\/8 + 3*z**4\/8 + 8*z**3 + 29*z**2 + 42*z + 22 = 0. Calculate z.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-690)\/(-100) - (-1)\/10. Suppose 0 = -2*z + f + 11, 3*z + 3 = 4*f + 7. Let y be z\/1 - 21\/t. Solve 0 = 3*d + y*n - 14 - 7, 4*n = -3*d + 18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -266.3 - -266. Let x = 24 + -43. What is the second smallest value in x, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = 6*d + 3*q + 9, 0 = -d - 2*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - 4) + -4 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2097 - 14708\/7. What is the common denominator of -107\/12 and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -180270?\nAnswer: 180278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -43 + 355*k + 10 - 375*k. Is l(-9) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, -4, -26, 1 in decreasing order.\nAnswer: 7, 1, -1, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + r**3 + r**3)*(-105 - 252 - 245).\nAnswer: -1806*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94900*k**2*p**3 + 7*k**2 - 28322*k*p**2 + 47*k + 2*p**3 wrt k.\nAnswer: 189800*p**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.21589274 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 20 = 3*m. Suppose -2*u + 64 + 376 = m*b, -5*b - 3*u = -435. Suppose -4*t + 18 = -b. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/3 + -4)\/(-1). Let p be (m - -5)*(-1 + 6). Solve -x = -0*x + r, 2*x - 3*r = p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 18) + -3 + -6 + (-14 - -14) + 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -u + 100. Let y = -4 + u. Calculate the highest common factor of y and 522.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 divided by 20?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(78) - ((sqrt(78) + sqrt(78)*3)*-2 + sqrt(78)) - sqrt(78)))\/(sqrt(486) - -2*sqrt(486)*4)*-5)**2.\nAnswer: 15925\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 36. Suppose 4*r - l + 1 = -7, -5*r + l - 11 = 0. What is the lowest common multiple of 2\/6*-2*r and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 8\/6)*3\/(-4). Suppose 0 = r - z*r + 12. Solve -f + 10 = -3*b - 3*f, -f - r = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.04608 - 0.04608. Which is the third biggest value? (a) 3\/4 (b) -0.3 (c) -0.5 (d) k (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 - -38. Suppose 7*s + 23 = 3*p + 8*s, 2*p - 22 = -4*s. Suppose -9*y = -p*y - m. Calculate the greatest common factor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(133) + sqrt(133) + sqrt(133) - sqrt(133))*-1)\/(sqrt(28)\/sqrt(4)*-5) + -4.\nAnswer: -4 + 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-78)\/(-390) + (-42)\/10. Let k = -2 + 7. Sort q, k, 0, -6 in descending order.\nAnswer: k, 0, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o**2 + 63*o + 65. Let r(w) = -3*w**2 + 11 + 5 + 6 + 21*w. Let h(a) = 2*n(a) - 7*r(a). Factor h(k).\nAnswer: 3*(k - 8)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s + 26. Suppose 5*t = -y - 16 - 3, 3*t = y - s. Let o(r) = r + 4. Let w be o(-4). Is w smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573543 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 35. Let v be o(24). Does 30 divide v\/(-66) + (-42978)\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 16. Let i be m(-18). Let u be ((-39)\/4)\/((-2)\/8). Let c = i + u. Calculate the remainder when 74 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -389 - -390. Let m = 2.757825 + -1.7578. Let k = a - m. Round k to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1300, 2340, 3380?\n\"Answer: 1040*y + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100704.1 take away -4?\nAnswer: -100700.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 5. Let f be l(0). Suppose 2*q - 25 = 7*q. Let m = 5 + -4.9. Which is the nearest to m? (a) f (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -51 - 1. Suppose -2 = -3*l + a. Suppose -l*v + 3*v = -10. Solve 0 = -v*i - 5 - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 3:23 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) - (-9)\/2. Suppose -t = w, t - 2 = 2*z + 4*t. Suppose -4*f + 22 = n - 2*f, z*f = -n + 7. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*(sqrt(300) + 0 + 2)*-5)**2*5*-3.\nAnswer: -456001 - 60000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47201*w**3 + 270016*w + 94411*w**3 - 47208*w**3 - 270016*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(76)\/(sqrt(28)\/sqrt(112) + sqrt(4)).\nAnswer: 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from viivbisivvivibivvsv?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/42 - 23\/66. Sort -4\/5, -0.3, 3\/8, t in decreasing order.\nAnswer: 3\/8, t, -0.3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -278 at least -6364\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3852622321 take away 0.1?\nAnswer: -3852622321.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Convert -48d8c1 (base 16) to base 2.\nAnswer: -10010001101100011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212 (base 3) in base 15?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2372 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 21*x**3 - 12*x**2 + 15*x. Let l(v) = 31*v**3 - 18*v**2 + 21*v. What is 5*l(k) - 7*q(k)?\nAnswer: 8*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -275 - -551. Suppose 5*p = p + g. Is p a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {x: 6, e: 2, v: 10}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1923, 74 in descending order.\nAnswer: 1923, 74, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**6\/480 + o**5\/120 + 7*o**4\/96 + o**3\/6 + 38*o**2 - 16. Let j(u) be the second derivative of y(u). What is k in j(k) = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3 - 128*f**2 + 86*f + 81356 = 0. Calculate f.\nAnswer: -43, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8799 - -6207. Let f = d + 4795. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**3\/3 - 3*r**2 - 28*r - 16. What is the units digit of o(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -219*l**5\/10 + 1271*l**4\/6 - 112*l - 10. What is the third derivative of c(s) wrt s?\nAnswer: -2628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h = -2*l, 0 = 4*h + 2*l - 18. Let n be h*6\/4 - 21. Let d be (-194)\/n - 8\/(-36). Calculate the greatest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + y)*(y - 3*y + 4*y) - 2*y**2 + 0*y**2 + y**2 + 639*y**2 + 985*y**2 + 1206*y**2.\nAnswer: 2831*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1679*w**2 + 20*w**3 + 1679*w**2 + (-3*w**2 - w**2 + 2*w**2)*(w + 2 - 2) to k*w + c*w**3 + s + b*w**2 and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 3*v**2\/2 + 533. Let z(t) = 1073*t**2. Determine z(g(j)).\nAnswer: 9657*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -233 * -0.2\nAnswer: 46.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34074474853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/12 and (-10)\/(-8)*464\/(-24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -0.4, -72\/305, 3, 1\/8 in decreasing order.\nAnswer: 3, 1\/8, -72\/305, -0.4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzl when three letters picked without replacement from {z: 4, l: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111683297?\nAnswer: 11, 31, 327517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 536\/21 + -77\/3. What is the second biggest value in 0.3, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*10\/(400\/45)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 + 3*i - 1. Calculate a(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2257*l**3 - 6*l**2 - 11*l - 6. Let j be n(-2). Suppose -41*a = -17*a - j. List the prime factors of a.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*y + 76*y - 4*t - 12, 3*y = -4*t - 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2. Let h(p) = -8*p**2 - 2 + 5 - 6*p + 3. Let z(n) = 7*n**2 + 5*n - 5. Let l(x) = 5*h(x) + 6*z(x). Give l(t(i)).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 941.1827l in millilitres?\nAnswer: 941182.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let n(o) = -o**3 - 9*o**2 - 6*o - 2. Let j(d) = -3*a(d) - n(d). Let k be j(-6). Calculate the highest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59837257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 20 = -3*n + 2*n, 0 = 3*n. Let l = 17 - 13. Solve 5*v = f*v + l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2807 is divided by 962.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-77)\/(-3) - 4\/(-3). What is the highest common divisor of c and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-6*(sqrt(110) + sqrt(110) + sqrt(110)*-1) - sqrt(110)*1*-1))\/((sqrt(100)*1 + sqrt(100))\/sqrt(10)*-6*-2).\nAnswer: 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3053 at least 3054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 9 = 6*o. Solve j + 3*r = 1 + o, 0 = -2*j - 3*r + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 209 - 181 = 14*h, -20 = -h + g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -74 + 86 + 0 + -1. Solve 30 + 3 = -u*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*l**2 + 0)*(4*l**2 - 4*l**2 + 4*l**2) + 3*l**3 - l**4 - 3*l**3 as z*l**4 + w*l**2 + x + v*l + m*l**3 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13568, 28655, 43742, 58829, 73916, 89003?\nAnswer: 104090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3202 (base 7) to base 9\nAnswer: -1484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k - 10*k + 26*k - 10*k.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 31*0.4\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -19, -15, 13, 77?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -12*h**2 + 3*h - 3. Let d(l) = 35*l**2 - 10*l + 10. Calculate -10*b(j) - 3*d(j).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/924 and 65\/673024?\nAnswer: 14133504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.982515 nanograms to micrograms.\nAnswer: 0.000982515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -480 - -461 - (-20 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 3*t - 18, 5*u = -t + 4*u - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/22, 5, -21896?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 1:48 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77\/4 + -211\/12. Let l(j) be the second derivative of 7*j + 0*j**2 + w*j**3 + 0 - j**4. Find the second derivative of l(z) wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 5*t**2 - 4*t - 4. Let j be s(4). Let v be (-3)\/(-6)*(-20)\/(-5). Is (j\/6)\/(v\/(-30)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/8 and -58\/78807.\nAnswer: 630456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.92 - 0.08. Let o = p - -9.9. What is the closest to o in 2\/11, -0.4, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 31\/60*z**5 + 34*z**2 + 0 + 3\/20*z**6 + 0*z**4 + 0*z**3 + 0*z. Find the third derivative of x(v) wrt v.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10838, 12602, 15532, 19628?\nAnswer: 24890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -247 + 493. What are the prime factors of f?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4414, 8136, 11856, 15574, 19290, 23004?\n\"Answer: -j**2 + 3725*j + 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1084\/39 + 357\/13. Which is the fourth smallest value? (a) i (b) 0.4 (c) -1\/4 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) -12 (c) 4 (d) 0 (e) -9 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1352\/23645 + 17861331\/2813755. Let c = q + -3\/595. Is 7 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3368 = 4*j, 3*i - 2026 - 3036 = 4*j. Suppose -4*z + 162 = -i. Suppose 0 = 5*x - 3*g - z, 1 = -4*g - 11. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by 3.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4106729 is divided by 2371.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1187935142 + 3?\nAnswer: 3.1187935142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 434 and 3915455.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1368.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-39)\/7)*(-3398)\/(-11893)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 5. Let m be p(4). Suppose -11 = -m*g + 4. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1269 = 27*m - 783. Suppose 5*k = p + m, p = -5*k + 44 - 170. Which is smaller: -102 or p?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkgkrrwrkkrccrpkk. Give prob of picking 2 c.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 25 = 5*n. What is the lowest common multiple of n and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*z + 15 = 73*z, -6*n + 5*z - 21 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010145 to five decimal places.\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 51322 divided by 7\nAnswer: 51322\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97365 is divided by 97065?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -1637 + 194. Which is greater: -2\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201 + 201 + 186*l - 5*l**2.\nAnswer: -5*l**2 + 186*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -14 (b) 110 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/97 - -214\/485. Let p = -53\/58 - -419\/522. What is the second biggest value in 40, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - -15. Suppose 2*f + 4*x + j = 0, f + 0*f + 10 = 4*x. Let q = f - -30. Let t(h) = h**3 - 6*h**2 + 7*h - 6. Determine t(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**4 + 9*w**2\/2 - 8. Find the second derivative of l(b) wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 + -3 - (5 - 11)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 72*y**2 - 393*y + 468.\nAnswer: -3*(y - 1)*(y + 12)*(y + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4568\/7 - -652. What is the biggest value in l, 1, 3, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003859568 rounded to five dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 415568820 to the nearest integer?\nAnswer: 20386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1093 + -1086. Solve -b*g = 31 - 45 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 3:18 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 23*w = -116. What is the third derivative of -118*m**4 - 39 + 87*m**4 + 2*m**2 - 2*m**5 + w*m**4 wrt m?\nAnswer: -120*m**2 + 648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4172 less than or equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -18. Suppose -s*p + 2*a = -12, -3*p + 6*a = a - 20. Solve c + p = -0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1364\nAnswer: 2728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, a: 1, i: 2, f: 1, p: 2}. Give prob of sequence pgap.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 11:03 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -231*n + 77. Let u(v) = 3*v + 11. Let o(f) = d(f) - 7*u(f). Let l(s) = -3*s**2 + 7. Determine l(o(c)).\nAnswer: -190512*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/82 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81069*f**2*k - 4104*f - 2*k wrt f.\nAnswer: -162138*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -19*w**3 + 3*w**2 + w + 1. Suppose 18 = -5*r - 4*l, -6*r - 6 = -r - 2*l. Is v(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 5*w**2 + 5*w - 9. What is f(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39644?\nAnswer: 2, 11, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bogb when four letters picked without replacement from bccboccccgbc.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 69*a. Let g(w) = w + 21. What is g(n(b))?\nAnswer: b**2 - 69*b + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 0 + 1\/3*y**3 - 1\/30*y**5 + 0*y + 0*y**4 + 5*y**2. Factor s(m).\nAnswer: -2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/3, 6\/43, -0.1, 0.3, -21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 smaller than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kff when three letters picked without replacement from {f: 7, k: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -32*l + 24. Let k(i) = -3*i**2. What is k(n(x))?\nAnswer: -3072*x**2 + 4608*x - 1728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-15))\/((-633)\/(-28485)) + -80.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1694)*-2 + sqrt(1694))*-6)\/((2*sqrt(84)\/sqrt(3))\/(sqrt(4)*2*2)).\nAnswer: -792*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*r - 53*r - 100*r)*(-r - 2*r + r) to the form p*r + d + v*r**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4 + -1*(3 + sqrt(612)*-2 - sqrt(612)))**2)*6.\nAnswer: -1512*sqrt(17) + 33360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-2)\/(2 - 0). Solve 3*r + 6 = -a*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 12*o + 577. Give m(-52).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -159, -642, -1621, -3270, -5763?\nAnswer: -9274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2) + sqrt(32))**2 - (sqrt(16)\/sqrt(4))\/sqrt(2) - (3*sqrt(18) + 4 + -2)**2.\nAnswer: -100 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 21*i**2 + i + 10. Let f(j) = -j**3 + 11*j**2 + j + 5. Let t(c) = 5*f(c) - 3*q(c). Is t(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27542 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c**3\/2 - 147*c**2\/2 - 57*c = 0. What is c?\nAnswer: -38\/11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-361)\/(-190) + 0)*10\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 3*n**2 - 2*n + 6. Let r be t(3). Suppose -2*w = -2*f - 16, r = -4*w + 3*f + 1 + 29. Let y be ((-3)\/w*0\/1)\/3. Sort y, -5, 2, 1.\nAnswer: -5, y, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = h - 22, 0 = 4*h - a - a + 22 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18\/10169 + -33445733\/61014. Let d = 550 + k. What is the common denominator of d and -99\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqllq. What is prob of picking 1 q and 1 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 4*y - 14, 3*o = 321*y - 323*y - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 4*k)*(-2*k**2 + 0*k**2 + 3*k**2) + 37*k - 5 - 37*k + 3*k**3 to the form w*k**2 + c + o*k + g*k**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 + 9005*f**2\/2 + 537359*f - 1092732.\nAnswer: (f - 2)*(f + 123)*(f + 8884)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 752 and 452798.\nAnswer: 3622384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + -55175376?\nAnswer: -55175362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -937*h*k**3 - 9*h*k**2 - 311499*h*k + k**3 wrt k?\nAnswer: -5622*h*k - 18*h + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 2. Let g be x(0). Let c = 0 + g. Let t(i) = -c*i**2 - 5*i**2 - 2 + 3*i**2 - i**3. Give t(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-2)\/((-54)\/33). Let j = -763 + 763.3. Sort 0.4, j, u, -2 in decreasing order.\nAnswer: 0.4, j, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 - 10\/(-14))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, g: 3}. Give prob of picking 3 g.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1588 by -5.\nAnswer: -1588\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 - 2*k + 2*k)*(-1 - 1 + 0)*(-1 + 1 + 7 + (2 + 1 - 2)*(1 + 1 - 3) + 3 - 2 - 2) - 6*k**4 + 2*k**4 + k**4.\nAnswer: 17*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -19751101.5 to the nearest one hundred thousand.\nAnswer: -19800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g - 25. Let q be a(-10). Let w be 10\/(10 + -5) + q. What is the highest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 0)**2*6 + ((-2*sqrt(33)*-2)\/sqrt(3))**2.\nAnswer: 3410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17323 + 17322.947. Which is the third smallest value? (a) k (b) -0.3 (c) 4 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwcgz. What is prob of picking 1 v, 1 w, and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 7*b**2 + 4. Let i be (-854)\/(-126) - (-4)\/18. Let t be y(i). Find the common denominator of (-176 - -10)\/(t\/(-1)) and 54\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26335 + -26361.9. Is -0.3 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 5*v**3 - 4*v**3 - 61*v - 12 + 15 - 5.\nAnswer: 2*v**3 - 61*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + x**2 + 1. Let t(u) = -4*u**3 - 4*u**2 - 2*u - 2. Determine -2*f(h) - t(h).\nAnswer: 2*h**3 + 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114 a factor of 3405975906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1090569, -2181479, -3272389, -4363299, -5454209?\n\"Answer: -1090910*y + 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.274263 take away 1.99?\nAnswer: -11.264263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 - -112. Solve -4*u = v*j, 4*u + 3*j + 8 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - c + 46527, 4*i - 5*c = -21967 + 68548. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjc when four letters picked without replacement from jccjcjjcjc?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 22\/9 of a hour?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10*z**3 - 3*z. Let w(x) = 10*x**3 + x**2 + 2*x. Let f(u) = -2*t(u) - 3*w(u). What is the third derivative of f(j) wrt j?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k = x - 1, 3*x - 4*k - 17 = 0. Solve -20 = d - t - 3*t, -x*d + 3*t = 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000141903 to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/((-212)\/(-42) + -5). Let p be -2*(0 - (5 - 3)). Suppose -3*s - 91 = -p*c - j, 3*c + 5*s - 34 = 0. What is the highest common factor of c and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 625000?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 186166785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2234 - 3?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**3\/2 - 17*c**2\/2 + 2*c. Let b be x(-13). Suppose 4*d - 66 = d - 4*n, -d + 4*n = -b. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 22 + j)*(-j**3 + j**3 + j**4) + 2*j**3 + 0*j**3 + 4*j**5 + j**4 - 2*j**5.\nAnswer: 3*j**5 + j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -60. Differentiate -7 - 4 - 22 - t*a wrt a.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -12 + 8 + 2 + 1 + 5 - 3*m. Let b(d) = 15*d**2. Give b(v(s)).\nAnswer: 135*s**2 - 360*s + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -118\/3, -1\/6, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/336 and 25\/16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 225*i**4\/4 + 225*i**3\/4 - i**2 - i = 0. What is i?\nAnswer: -1, -2\/15, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -9. Let c(t) = -w*t**3 - 67 + t**2 + 67 - t. What is c(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 7*b**2 - 7*b - 4. Give w(-7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 640 and 8.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 244 (base 9) to base 15\nAnswer: d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734818142*z - z**3 + 0*z**2 - 734818142*z + 0*z**2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*k**3 + 12*k**2 - 111 with respect to k.\nAnswer: -27*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04338 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 9:08 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78012, -78147, -78280, -78411, -78540?\nAnswer: -78667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29050271\/180 - -161391. What is the common denominator of -43\/108 and v?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1971*a*h*m*v**3 - 155*a*h*v**2 + 2*a*m*v**2 + a*m*v - 2*a*m - 2*h*m*v**3 - 9*h*m*v - 14*h*m - 29*h*v**3 wrt v?\nAnswer: -11826*a*h*m - 12*h*m - 174*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + z**2. Give o(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + -19?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2735\/812 or -1.26?\nAnswer: -1.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) - (-2 + sqrt(931) + -1 - sqrt(931)).\nAnswer: 3 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y - 2. Let b be -1*(31 - -2)\/3. Let c = 6 + b. What are the prime factors of s(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/88530 and 44\/1755.\nAnswer: 796770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 28*m**2 - 27*m + 465. Let x be s(28). Which is greater: -278 or x?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28bd31 (base 14) to base 6\nAnswer: -50202223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11896552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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: Three letters picked without replacement from {w: 14, l: 1}. What is prob of sequence wlw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y. Let s(b) be the second derivative of b**6\/45 + 25*b**3\/3 + 28*b. Let w(q) be the second derivative of s(q). Determine w(a(n)).\nAnswer: 128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8530, 8637, 8744, 8851?\n\"Answer: 107*b + 8423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -123a?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 11:12 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 37232.\nAnswer: 111696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31.98284 - -32. Round f to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1212, 2534, 3976, 5538, 7220, 9022?\nAnswer: 10944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2911238, -5822473, -8733708, -11644943?\nAnswer: -14556178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/3, 3\/2, -5, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -11 - 3*j - 12 + 19. Calculate k(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**3\/6 + 12*b. Let n be (304\/(-12))\/(-4) + (-6)\/(-9). Calculate o(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -342054 divided by 558\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32818645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -416 or 2179?\nAnswer: 2179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 15) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-19)\/(-2))\/((-3)\/2)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16415048808 rounded to four decimal places?\nAnswer: 0.1642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 31*z**3 - z**2 + 61*z - 125. Is c(2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**9\/3024 + x**7\/210 - 19*x**3\/6 + 3*x**2. Let i(a) be the first derivative of r(a). Factor i(l).\nAnswer: -l**3*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6*a = 0. Let o be 2\/(a\/(-2) - 6\/231). Let s be (-132)\/o + 4\/14. Solve -2*i + 10 = 4*r, -s*r - 2*r + 15 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -163*n - 137*n + 119*n + 362. Sort -473, n, -3.\nAnswer: -473, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223126107.\nAnswer: 3, 331, 224699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-5 - -2 - 3) + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 14*m - 24*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29271600 and 14635800.\nAnswer: 29271600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56246237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 8)*-1 - -26. Solve 4*g = f - 18, -3*g - 2*g + 2*f = b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15497.41 and 66.\nAnswer: 15563.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1479996 divided by -70476?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - 3*z - 1. Let t(o) be the first derivative of -o**3\/3 - o**2 - 480. Calculate 3*g(f) - 5*t(f).\nAnswer: -f**2 + f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-4\/3)))\/(c*c**(-8\/5))*(c\/c**20)\/c**(-6\/17))**(2\/5) assuming c is positive.\nAnswer: c**(-9884\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*s + 7*s - 3*j + 2, 0 = -j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from yyoyyhyyhyhhhoh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 668123550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 7*j**2 - 6*j + 9. Let i be p(6). What is the third derivative of -10*v**2 - 6*v**2 + i*v**2 - 4*v**4 wrt v?\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118*u**3*w**2*y**2 + 6*u**3*y**2 - 2*u**2*w**2*y - 204*u**2*y**2 + w**2*y**2 wrt u?\nAnswer: 708*w**2*y**2 + 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5077 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 - 1748*s**3 - 254040*s**2 - 12192752*s + 12448544.\nAnswer: -4*(s - 1)*(s + 146)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 8*n - 9 + 1 - 8.\nAnswer: -(n - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 82. Which is the nearest to -0.1? (a) 0.72 (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -2\/7 (c) -0.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**5\/120 + y**3 + 4*y**2 + 14. Let w(a) be the first derivative of o(a). Let m(h) = -20*h**2. What is w(m(z))?\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 15*w - 1. Let u be s(16). Solve u*x + 15 = 12*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*r - 0*w - 1, 2*r + 2*w = -6. Let h = r - -3. Let l = 3 - 2. Sort -0.5, l, h.\nAnswer: -0.5, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930845 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16188775 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - q - 1. Let i(d) = 8*d**2 + 4*d + 13. Give -i(r) - 6*u(r).\nAnswer: -2*r**2 + 2*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 w when three letters picked without replacement from {h: 7, w: 5, i: 1}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45864 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 65138175*r**2 - 130276341*r - 65138169.\nAnswer: -3*(r + 1)**2*(r + 21712723)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + d - 1. Let f(c) = 4*c - 1. Give a(t) - f(t).\nAnswer: -t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 15*g. Does 18 divide q(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/1 - 3 - -2119153. Suppose -194056 - h = -4*n. Suppose -3*o - 5*l = -7319975, -2*l + 10338292 - n = 4*o. Round o to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 77686, 311082, 700184, 1244998, 1945530, 2801786?\n\"Answer: m**3 + 77847*m**2 - 152*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.165 and -14.\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 60*o**2 + 18*o - 38. Let p(q) = -20*q**2 - 7*q + 13. Determine -8*p(v) - 3*r(v).\nAnswer: -20*v**2 + 2*v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (7 - (-10 - -5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240837869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m**3 - 873*m + 2*m**3 + 3*m**3 + m**3 - 988*m - 4*m**2 in the form f*m**3 + x + b*m + p*m**2 and give b.\nAnswer: -1861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*5\/(-2 - 3). Let r(z) = z - 1. Let d(b) = -1. Let o(s) = p*r(s) + 3*d(s). Let c = 6 + -2. Determine o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3*l + 8 = 0, -56*r + 57*r + 21 = 5*l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7314, -6917, -6520, -6123?\n\"Answer: 397*h - 7711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - j + 2*j)*(-5*j + 9*j + 0*j - 10).\nAnswer: -8*j**2 + 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 15230121\nAnswer: -3046024.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 11003559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(1 + 0)*72. Let u = 102 - s. Is 65 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f = -18. Let y = f + 8. Suppose 0 = 4*c + x - 205, 2*c - 190 = -2*c + y*x. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 4601367*s**2 + 0*s - 4601369*s**2 + 29*s**3.\nAnswer: 29*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggdggdgggdggdggggg. Give prob of picking 1 d and 1 g.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v. Suppose 5*h - 4 = 1. Let d be x(h). Suppose -24 = -5*p + d*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5008488.13 to the nearest 10000.\nAnswer: 5010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**3 - 36*o**2 + 81*o + 120 = 0.\nAnswer: -1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*i + 6*i - 30, -4 = -3*f + i. Let o be (-6)\/2 + 1 + 4. Solve -f*g - o = -3*b - 14, -b = -3*g + 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23048343?\nAnswer: 3, 2560927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1941\/8 - -28519\/120. Find the common denominator of -19\/6 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20828?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1016 and -67\/40?\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -488672 (base 12) to base 6.\nAnswer: -41112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2. Let w(f) = -236965*f + 6852. Let m(o) = 622*o - 18. Let k(j) = -1142*m(j) - 3*w(j). What is g(k(i))?\nAnswer: -652082*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.92 - 13. Let n = -0.07999987 - h. What is n rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8781, 8783, 8787, 8793, 8801, 8811, 8823?\n\"Answer: c**2 - c + 8781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4\/2 - 3402*h**3 + 17936274*h**2 + 22527145872*h - 65771081480544 = 0. Calculate h.\nAnswer: -3202, 2068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*x**3\/9 + 56*x**2\/3 + 18*x + 40\/9.\nAnswer: 2*(x + 20)*(2*x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -349881, -349883, -349883, -349881, -349877?\n\"Answer: y**2 - 5*y - 349877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p = -3*p - 8 + 131. Solve -7*t - f = -4*t + 1, -f - p = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22250*q**5 + 18*q**2 - 591*q wrt q.\nAnswer: -1335000*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9273872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48522 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m*y**5 - 26618*m*y**3 - 592*m*y**2 + 7*y**2 wrt y?\nAnswer: 60*m*y**2 - 159708*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/9 (b) 5 (c) -0.4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 864*h**5\/5 - h**4\/4 - 280*h - 844. Find the first derivative of u(q) wrt q.\nAnswer: 3456*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*x + 14*x + 88600 = 0. What are the prime factors of x?\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 19*q + 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4441730692 - 356\nAnswer: -356.4441730692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 65, 128, 231, 392, 629, 960, 1403, 1976?\n\"Answer: 3*m**3 + 2*m**2 + 36*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 629.8043t in grams?\nAnswer: 629804300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(13\/((-650)\/(-15))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/27 - 2\/3. Suppose -a - 2*n + 1 = s, a + 3*a + 5 = -5*n. Let k(y) = 7*y + y**2 - 1 - 2*y - 3. Calculate k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*w - 24. Is w*((-16)\/12 + 2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 41*q**2 - 87*q + 55. Calculate o(-43).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131 - -131. Let t(c) = 2*c**2. Let u be t(-2). Suppose d + 4*o = 6*o + 58, y = -4*o + u. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4 - 40. Let a(g) = 7*g - 1. Let w be a(4). Suppose -1 + 12*s**3 + o*s - 9 + w*s**2 + 13 = 0. What is s?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5058 and 26133.\nAnswer: 156798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 230*y**3 - 9*y**2 + 15. Let m(h) = 115*h**3 - 4*h**2 + 3*h + 7. Let l(x) = -9*m(x) + 4*t(x). Find the second derivative of l(j) wrt j.\nAnswer: -690*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2 + 5*h**2 - 22*h**2. Let c(j) = 5*j**2 - 3. Determine z(c(m)).\nAnswer: -275*m**4 + 330*m**2 - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w = 488. Let z = w + -114. Calculate the highest common factor of z and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 12*g. Let r(j) = 1413162*j. Determine r(u(v)).\nAnswer: 16957944*v","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjhprqjhhoqhhqqhq. What is prob of picking 1 o, 1 j, and 1 r?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -236254 (base 7) in base 16?\nAnswer: -a804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1526 - 1555. Is k < -418\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-19)\/d**(3\/14) assuming d is positive.\nAnswer: d**(-269\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 12*n**2 - 14*n - 7. Calculate l(-11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6912 and 828?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -38*u**2 + 3*u - 203. Let l(d) = 38*d**2 - 3*d + 203. Let c(o) = -5*l(o) - 4*y(o). What is the derivative of c(q) wrt q?\nAnswer: -76*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49474 - 23589. What are the prime factors of b?\nAnswer: 5, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c + 960461 = 65*c + 41*c. List the prime factors of c.\nAnswer: 59, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2 = a + 9*c, 0 = 3*a + 5*c - 22 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 10*y - 12. Calculate t(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 7:30 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 2:08 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3289, -1\/4 in increasing order.\nAnswer: -3289, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 15*s + 260 = 0. What are the prime factors of s?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.015 * 3\nAnswer: -21.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/(n*n**(3\/2)))\/n*n)*n**(-2\/11)\/n)**(-12) assuming n is positive.\nAnswer: n**(-174\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 15, -0.4, 3, -6, -28?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 20.8 and 8195372517.\nAnswer: 8195372537.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00618995 rounded to five decimal places?\nAnswer: 0.00619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*t - 531. What is the units digit of (t - -33) + 5*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f - 4. Let z(k) = -3*k - 1. Let g(l) = -h(l) + 3*z(l). What is g(2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 240 + 47*t**3 - 240 + (3 - 4*t - 3)*(t**2 + 2*t - 2*t) to the form r*t**3 + c*t**2 + p + b*t and give r.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.3 - 15.299997076. What is h rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6357.397 minus -6947?\nAnswer: 589.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 2*d + 3 + 14\/3*d**3 + 3\/2*d**4 + 5*d**2. What is g in t(g) = 0?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 7 + 4 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-45)*(-15)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12001 is divided by 343?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 4. Let y be g(-4). Solve y = 5*c + 2*s + s + 10, -c - 4 = s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -35, -52, -69, -86, -103?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2375 = 5*l, -4*l + 0*l - 1909 = g. Let f = 1070 + l. Let x = f - -1087. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p. Let c be k(3). Suppose 5*m + 5*v - 5 = 0, 0 = -5*m + 10*v - 12*v + 20. Calculate the highest common factor of c and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2510014 - 5?\nAnswer: -2510022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*d + 25 = 4*d, d = 0. Let y(t) = 6*t**2 + 2*t + 3. Let x(l) = 7*l**2 + 3*l + 4. What is p*y(v) - 4*x(v)?\nAnswer: 2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 7 - (155 + -173).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127537 != 136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5*84\/(-35) - -5945?\nAnswer: 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + -2.95. Let x = 3 + h. Which is the nearest to 2? (a) -4 (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/3))\/(n\/(n**(1\/2)\/n))*n**(2\/3)*(n*n\/(n*n**(4\/9))*n)\/n assuming n is positive.\nAnswer: n**(7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/90)\/(8\/(-10))*4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**2 + 19*i - 28. What is the tens digit of c(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**5 - 540*s**4 - 31050*s**3 - 607500*s**2 - 3796875*s.\nAnswer: -3*s*(s + 15)**2*(s + 75)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1817 and 395.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-60))\/(-8 + (-812)\/(-105)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + (-4 - -597) + 0. Suppose 29*l = 33*l - b. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 3:38 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 20 = 0, -j - 6*p + 2*p + 80 = 0. Let n be (-4)\/(-10) - j\/(-60). What is the third derivative of 3*r**2 - r**6 + 16*r**2 - 9*r**n wrt r?\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1120, 0.094, -3, -2\/15?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3678.2 rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u + 149. Let p be n(-17). Let c(h) be the first derivative of p - 1\/3*h**3 - 16*h - 4*h**2. Factor c(w).\nAnswer: -(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331379?\nAnswer: 19, 107, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/62748 and 71\/1454.\nAnswer: 45617796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 501\/3) + -1 + 3. Let l = 167 + q. Solve 0*a + 9 = d + 2*a, -l*a + 21 = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 610 and 10?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5401535866 to the power of 1\/4, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 8*p**2 - p + 12. Let u be y(-9). Let c = u + 97. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1126568*h**5 + 2*h**4 + 7057355*h wrt h.\nAnswer: 22531360*h**3 + 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*t - 380, -374 = -4*t - t - 3*k. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2*(-15)\/12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + g - 11. Let i(k) = -35*k - 490. Let l be i(-14). Give d(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, l: 7, t: 1, q: 1}. Give prob of sequence eee.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lec when three letters picked without replacement from {e: 1, f: 1, n: 2, c: 2, d: 1, l: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1216, 2449, 3696, 4963, 6256?\nAnswer: 7581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 1. Let k(d) = 4*d - 5. Let p(y) = 5*a(y) - k(y). Let n = 21 - 5. Let z(o) = -28*o + 14*o + n*o. Calculate p(z(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45494743?\nAnswer: 7, 101, 229, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-66))\/((-12)\/270*5)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -295\/2889 - -3\/107. What is the common denominator of z and -107\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 11. Calculate n(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 1)*(-2)\/(-24). Let w = -1.513 + 4.513. Which is the closest to 1? (a) d (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001357 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*z - 5*a + 28 = -244*z + 8, 16*a - 42 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14 - -5 - (-12 - -28)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/15)\/(f*f\/(f**(-1\/5)*f)))**2 assuming f is positive.\nAnswer: f**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*t. Suppose t = -6*q + 2*q. Suppose 2*o - 32 = -2*s, q*o - 5*s - 72 = -3*o. What is the remainder when o is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/5)*(t\/t**(3\/8)*t)\/t)**(4\/15) assuming t is positive.\nAnswer: t**(1\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -27. Let l be (106221\/y)\/((-3)\/(-30)). Suppose -l = k - 847035. What is k rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s**2 + 31*s**2 - 119 + 119.\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18c3 (base 14) to base 7.\nAnswer: -16033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 4*r - 22, r - 26971 = -4*c. Calculate the highest common divisor of 84 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12943 is divided by 121.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/16)\/(a**(-2\/7)\/a) assuming a is positive.\nAnswer: a**(151\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - -1 - (188 - 174)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j = 105. Let l = 79 + -65. What is the greatest common divisor of l and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d - 4. Let p(t) = -t + 1. Give 6*p(l) + s(l).\nAnswer: -9*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9695 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.3. Let c = 111.2 - 111. What is the nearest to c in z, 1\/8, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 135800 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/46596 and 77\/1412?\nAnswer: 46596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-56)\/(-40))\/((-154)\/(-220)). Let k be (-4)\/(-20) - 38\/(-10). Find u such that k*u - 2\/3*u**n + 0 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55*s*z + 131892*s - 3295517*z - 1 wrt s.\nAnswer: 55*z + 131892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -56666.68 to the nearest ten.\nAnswer: -56670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 7*d**2 + 7*d - 8. Let y be v(6). Let o be -3*1\/(-3) - y. Solve -4*f + o*f + i = -4, 2 = 2*f + 4*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -18*s - 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -622484*w + 2712. Let l be d(18). What is l rounded to the nearest 100000?\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -565*u. Let d(a) = -3388*a. Calculate -6*d(v) + 35*z(v).\nAnswer: 553*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = 66*r - 58*r. Which is bigger: r or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -1\/24*z**4 + 3*z**2 + 0*z + 1\/2*z**3 - 1\/10*z**5 + 0. Let u(l) = -l**2 - l + 1. Let s(p) = -m(p) + 5*u(p). Calculate s(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 1:30 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000042866 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 132066*k**2 + 1056432*k - 2112800.\nAnswer: 2*(k - 66025)*(k - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 - 2 - (-5)\/((-15)\/(-222))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77919+-4.506\nAnswer: 77914.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*m + 5, -2*p + 2*m = 12. Suppose -6*f = 22*f - 167*f + 19321. What is the units digit of 3 + f - (2 - p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14154 and 11458.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*b**2 - 1704*b + 1704*b to the form x*b + v + i*b**2 and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -77 (c) 3\/4 (d) 5 (e) -16 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q + 2. Let h(l) = l**2 + 4*l - 6. Let f = -10 + 4. Let t be h(f). List the prime factors of x(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.3878 - 0.0122. Which is the nearest to 0? (a) u (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.34008? (a) 3\/7 (b) -2\/3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w - 7. Let h(p) be the third derivative of -p**4\/24 + p**3\/6 + 37*p**2 - 4. Let n = 1 - 6. Calculate n*h(x) - s(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*2 + -8 + -1. Let s = z + 9. Suppose 0 = -4*c - 0*j - s*j - 6, -j = -4*c + 3. Solve c = -3*n + 7 + 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(24*m + 16*m + 2*m).\nAnswer: -126*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -2613237.6241.\nAnswer: -2613242.6241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24147109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 31. Let x be 24\/11 + 4\/m. Suppose -x*n + 5 = 3*n, 3*c = -2*n + 65. Does 21 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10080*h = 4*c - 10086*h + 20, 0 = -2*c + 5*h - 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -39468\nAnswer: -1\/39468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324903379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 135*n**2 + 909*n - 1823. Calculate the remainder when j(2) is divided by 252.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48133?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 61\/3 (b) 142 (c) -18\/25 (d) 1\/7 (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 9:15 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*67995.\nAnswer: 1359.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*j + j + 19, -4*p + 24 = j. Suppose -p*z = 3 - 18. Solve -z*u = 2 - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 5*y**2 + 6*y + 6. Suppose 2*k = 4*a - 358, 3*a + 0*a + k = 276. Suppose a = z + 287. Let u be 2\/16 + z\/32. What is n(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.119 - -2.119. Let q = 0.3 + -1.2. Let j = -5.9 - q. What is the closest to -1\/3 in h, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14639256 to the nearest ten thousand.\nAnswer: 14640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4000 + 20*h**3 - 2\/5*h**4 - 330*h**2 + 2000*h = 0?\nAnswer: 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2150 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/2, 20, -2\/15?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 407924 + -674084. Let l = 456334 - 643494. Let p = v - l. What is p rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10028 divided by -436?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2115*r**2 - 10256*r**2 - 6531*r**2 + 573*r**2 in the form c*r**2 + g + f*r and give c.\nAnswer: -14099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 112.8787399 to one decimal place.\nAnswer: 112.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 7) in base 2?\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -460 - -308. Let h = -151 - i. Put -6, 3, h in increasing order.\nAnswer: -6, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmzm when four letters picked without replacement from cmcbctbmymzyyz.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttthtttttttt. Give prob of sequence ht.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 12:25 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 * 2.48\nAnswer: 0.4464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 7*n)*(2 + 4 + 3)*(4 + 4*n - 4).\nAnswer: -252*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(8)*-2) - sqrt(7)) + 1.\nAnswer: -3*sqrt(7)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11939 or -1778731\/149?\nAnswer: -1778731\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*z**3 - 60 + 60 + 10*z wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9400*b**4*r + 2*b**4 - 2488*b**3*r - 11*b**2*r - 95*b**2 - 32*b*r + 2*b - r - 1 wrt b?\nAnswer: 225600*b*r + 48*b - 14928*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/33 - 7906\/737?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*26\/(-104)*176?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 4*s**3\/3 - 1349. Let l(m) = -248*m. Calculate f(l(n)).\nAnswer: 246016*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6*q - 60 = 0, 44*c - 40*c - 48 = -4*q. Calculate the remainder when 859 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 4*x**2 - 6*x + 6. Let z be y(5). Let j(s) = -3*s**3 - 6*s**2 + s**2 - 5 + s**2. Let i(r) = -r**2 - 1. What is z*j(f) - 5*i(f)?\nAnswer: -3*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 2*o + 1. Let p(i) = 13*i**2 + 19*i - 24. Let u(g) = 6*l(g) + p(g). What is u(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -291224294 by -2.\nAnswer: 145612147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 16*x. Calculate r(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - x**2 - x - 2. Let k be r(2). Let m = k - -17. What is the remainder when m is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/((-5)\/10). Let o be -2*s\/(-12)*-4. Let f = 100 - 108. Sort o, -5, f in decreasing order.\nAnswer: o, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 4*f + 2. Let z be g(4). Suppose -3*i - 21 = -3*w, -z*w = -i - 3*i - 24. Suppose -w*v + 96 = 2*v. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-15)\/(-18))\/(2*(-10)\/(-252)))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w*x**4 - 32*w*x**2 + 523*x**5 wrt x?\nAnswer: -24*w*x + 31380*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -8*w - 3*h + 4*h - 131 + 62, -w - 8 = h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187 and 495.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 + (-28)\/6 + 1. Let r be (1 + 14\/(-5))\/(w\/120). What is the greatest common divisor of 162 and r?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 8*i**2 + 32408*i + 129672. Give a(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 552*v - 568*v + 2272. Solve 138*p = v*p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 21. Let v(t) = t**3 - 5*t**2 + t - 1. Let a be v(5). What is the nearest to s in -3\/8, 3, a?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:33 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -8*q + 28. Suppose -4*t = -5*k - q - 23, 3*t + 16 = -5*k. What is the smallest value in k, 1, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**6\/6 - d**3 + 113*d**2 - 286*d. Differentiate x(f) wrt f.\nAnswer: 20*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/120)\/(12\/10). Suppose 4*v + 2 = 3*l, -4*v - 1 + 3 = -l. Is r <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(17)*1 + (-3*sqrt(153))**2.\nAnswer: 3*sqrt(17) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -141 - b6bab?\nAnswer: -b6d0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, o: 7}. Give prob of sequence oio.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -455, -454, -453, -452, -451, -450?\n\"Answer: d - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -244.05 - -1.05. Let f = x - -169. Let i = f - -70. Which is the nearest to -1\/4? (a) -8 (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -60878?\nAnswer: 60874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.8, 1\/1215, 33\/5 in descending order.\nAnswer: 33\/5, 1, 1\/1215, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -2*q**6\/3 - 28*q**5\/5 - 15*q**4 - 12*q**3 - 12. Factor s(u).\nAnswer: -4*u**2*(u + 1)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2*t - 176, -69 = -u - 4*t + 9. Suppose 0 = 15*s + u - 476. What is the greatest common divisor of s and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.3, -98 in ascending order.\nAnswer: -98, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3317600 to the nearest integer?\nAnswer: 1821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -51, -148, -281, -450, -655, -896?\n\"Answer: -18*o**2 - 43*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-320)\/(-20))*98\/245\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -0.1, -3, 4\/3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, -2\/3, -3\/4, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - g + 0)*(-435 + 7142 - 1030 - 978 + 6594).\nAnswer: -11293*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.296667 + 5.\nAnswer: 2.703333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*-13 + (-12)\/(-12))*1. Let x = 43 - s. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25116 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*u = -19, -9*d + 5*u - 44 = -11*d. Suppose 3*j - 5*t + t = 47, 4*j - 50 = -t. Solve 4*v + d*f = 2*f - j, 4*f + 20 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -233 or -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 6) + -2 - (-1 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -44 (b) 1\/6 (c) 6 (d) 0.4 (e) 1\/14 (f) 3 (g) -0.33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.3 (b) -1\/4 (c) 0.5 (d) 367\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**7\/105 - 3*n**5\/20 - 3073*n**3\/6 + 2*n**2 + 450*n. Find the first derivative of q(b) wrt b.\nAnswer: 8*b**3 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**5\/11 - 6*h**4 + 510*h**3\/11 + 578*h**2\/11 = 0.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000691 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14465769233 - -230.\nAnswer: -14465769003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -21*w. Let b(k) = -5*k - 11. Let z be b(-6). Suppose 53 + z = 9*r. Let t(g) = -15*g + 5*g + 3*g + r*g. Determine t(x(u)).\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-96))\/((-821)\/115046). Let o = -32\/821 - d. What is the common denominator of 2 - (-1 + 17\/(-6)) and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l**2 - 12*l - 14. Suppose -v - 2 = 0, -5*v = -2*z + 6*z + 14. Let p be i(z). Which is bigger: p or -12?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i - 5*c = -26, -3*c + 15 = i. Let f = 8 - i. Suppose 4*v = -f*o + 74, -o - 2*o = 6. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 z, and 1 c when three letters picked without replacement from {u: 1, g: 1, c: 1, n: 2, z: 1, y: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, u: 14}. Give prob of picking 1 u and 3 q.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 z, and 1 v when three letters picked without replacement from {h: 8, k: 1, e: 3, v: 1, z: 2, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1 - 3 + 0*k**2 + k**2 + 5*k. Let h(m) = -m**2 - 2*m + 10. Let x be h(-5). What is s(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 5*k + 11. Calculate the remainder when l(6) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -58.03602.\nAnswer: 232.14408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 289224. Let a(u) = u**2. Determine a(h(g)).\nAnswer: g**2 - 578448*g + 83650522176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 518 and 30.\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 8) to base 10\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-6)\/(-15)*-5. Solve -4*f + t*q = -12, -2*f + f - 3*q + 11 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 7. Let v be r(-5). Let q = v - 22. Calculate the remainder when q is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 30 + 12 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/(-6956)*47*26.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-2) + (0 - -1). Let l be -262 - 1 - (v + -1). Calculate the common denominator of 85\/18 and (-686)\/l - (-6)\/(-33).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6443.9994659 + 6444. What is a rounded to 5 dps?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/((-54)\/288).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1992 - -2023.06. Let q = -31 + g. Let m = 0.16 - q. Which is smaller: -9 or m?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/16*(36 - 4) + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3532339772?\nAnswer: 2, 13, 113, 601147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1108 - -1108. Let o = 15 + -16. What is the closest to 0 in 0.3, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 25. Suppose -3*s + 447 = 3*o, -460*o - 5*s - 383 = -463*o. Calculate the remainder when o is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2000492 divided by 1612\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -119 and 5757.\nAnswer: 5638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -50. Let u(o) = -o**2 - 7*o - 4. Let i be u(-7). Let p be 1\/(-36) + i\/f. Sort p, 3, -12.\nAnswer: -12, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 3*n - 2. Let p be u(2). Suppose -4 = -j - p*j. Solve 0*i + j = -4*t - i, -4*t = -4*i + 24 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 3*q**2 - 3*q - 35. Let k be m(-4). Let b(d) = 4*d - d - d**3 - d - 7 - 6*d**2. List the prime factors of b(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 18*b + 201. Let s be c(-20). What is the highest common factor of s and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 13*a + 113. Let y(k) = 2*k + 1. Give o(r) - 6*y(r).\nAnswer: r + 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2 + 1751*p - 1753. Calculate u(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y = 37*y - 10. Let z be 0\/(2\/(2\/(-1))). Which is the biggest value? (a) z (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16160672 (base 8) in base 15?\nAnswer: 4d9802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a**2 - 41 - 14*a - 8*a**2 + 4*a + 5*a**3 - 6*a**3. Is c(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*g - 21, -a + 4*g + 26 = 3*g. Suppose a = 5*b - 10*b. Put 5, b, -1 in ascending order.\nAnswer: b, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50587 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -948062*z**4 + z**2 - 92*z + 467 wrt z.\nAnswer: -22753488*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 178 and 1.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 3, k: 2, g: 1}. What is prob of sequence zk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 1033, 3530, 8409, 16468, 28505, 45318?\nAnswer: 67705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2209570 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109\/2 + -977\/18. Suppose -2*m = -4*u - 2, u = 3*u + 4*m - 4. Put t, -3\/2, u in decreasing order.\nAnswer: t, u, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21283222 is divided by 104.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8948916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 783?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + 1*sqrt(180))**2 + -3 - ((1*sqrt(180) - sqrt(180))*-5 - (sqrt(180) + -2 + 5))**2.\nAnswer: 24 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/((f\/(f\/(f*f\/f**(6\/7)))*f)\/f)*f)\/(f**(-8)\/f)*(f*f*f\/(f*f**(-2\/3))*f)**45 assuming f is positive.\nAnswer: f**(1238\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -7*g + 3258. Suppose 0 = 5*p + 5*t - g, -5*p + t = 4*t - 512. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 3:19 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -449 + 455. Suppose -4*v = 3*s + v, -4*s - 5*v = 0. What is the closest to -3\/4 in m, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*d + 43*d + 422*d.\nAnswer: 742*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 24) + -3 + -10 + 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.3128 and -1.25462.\nAnswer: 5.05818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zke when three letters picked without replacement from zkbeb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.025*4.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 2*b**2 - 4*b - 1. Let y be l(2). Is 1317*(21\/y)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r - 6. Let y(q) be the third derivative of 13*q**4\/24 - 11*q**3\/6 + 6*q**2. What is -11*t(p) + 6*y(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208 and (91 + -99 + -6 + 1)*-28?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -20 + 4. Let v(k) = -k - 1. What is v(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u + 5*r = -16, -4*r = 3*u + 24. Let g = -6 - u. Let s be (g\/(-24))\/(6\/16). Which is the third biggest value? (a) -0.3 (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, k: 1, e: 2, y: 4, h: 6}. Give prob of sequence yee.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/471 and -8.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 742 and 826?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1409, 0.01, -2\/5, -1\/3, 2\/3?\nAnswer: 0.1409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1823*r - 3101. Is m(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3193)\/(-103) - (-8 + 18).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 85493.66431 from -52003.\nAnswer: -137496.66431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8411 - 8411 + 4*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*x = -1638 + 7380 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -7 - 3 - (2 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255, -26, 311, 756?\nAnswer: 1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -99, -3, -1, -516.\nAnswer: -516, -99, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/119, 2\/3, 0.3375, 1\/8, -3, 1\/9, -0.08?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5 = m + 4, 5*m = -o - 21. Let u(s) = s + 8. Let i be u(o). Suppose -d - d + n + 5 = 0, 16 = d + 4*n. Solve l = -d*k, -k + 1 = l + i*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.933 + -0.003. Let f = 0.929999396 - z. What is f rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/7 (b) -93 (c) -0.4 (d) 0.4 (e) 2\/11 (f) -6\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -423*r**3 + 126*r - 2 wrt r.\nAnswer: -2538*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -7*n**6\/2 - 54*n**5\/5 - 327*n**4\/28 - 36*n**3\/7 - 6*n**2\/7 + 6. Factor c(i).\nAnswer: -3*i*(i + 1)**2*(7*i + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/(2\/24). Sort -2\/5, g, -0.3 in descending order.\nAnswer: g, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -23\/5, -1\/7, -4\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/8 and -63\/221188.\nAnswer: 442376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**3 - m**3 - 4*m**3)*(318*m + 324*m - 670*m) as w*m**3 + s*m**4 + z + r*m**2 + p*m and give s.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 545*a - 125 - 1091*a + 548*a as f*a + l and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1026 - -1790. Suppose 3*h - 2*i = -347, 0 = -4*h + 2*i + 304 - x. Which is bigger: h or -115?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 68 + 813 = -72 - 151 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121*h**2*x**3 + h**2 + 3*h + 9*x**3 wrt h.\nAnswer: 242*x**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 986 = 992 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185.8 + -187. Which is the biggest value? (a) 2\/7 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 115*h**9\/504 - 17*h**5\/60 - 23*h**3\/6 + h**2 + 429. What is the third derivative of c(i) wrt i?\nAnswer: 13800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.8 + -5. Let d = 1 - 5. Which is the closest to 0.1? (a) d (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 11. Let y(k) = -4*k + 45. Determine -9*q(s) - 2*y(s).\nAnswer: -s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 4746\/19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1133*r**4 + 1130*r**4 + 405*r**2 - 7*r**3 + 73*r**3 = 0 for r.\nAnswer: -5, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 = -4, 5*m = -z - 184. Let b = 254 + z. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**2\/2 + 4*c - 11. Let y be j(7). What is the tens digit of (y + 7 - (6 - 4)) + 121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -3 + (-360)\/(-44)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 452272.\nAnswer: 2713632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 3. Let v be b(-5). Solve 2*y**2 - v*y**2 + 2*y**2 - y**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20948523 by -3.\nAnswer: 6982841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/9, 131699, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**3\/5 + 14996*v**2\/5 - 28274232*v\/5 + 614796336\/5 = 0.\nAnswer: 22, 3738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -1\/120*k**6 - 55*k + 0*k**3 + 0 + 0*k**2 - 1\/12*k**4 - 1\/20*k**5. Factor x(r).\nAnswer: -r**2*(r + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809808921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = -8 - 76. What is the closest to -0.1 in 0.5, k, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199804 to the power of 1\/2, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(2*k**2 - 3*k**2 + 3*k**2)*((2*k**2 - 4*k**2 + k**2)*(2 - 5 + 4) + (-4*k + 4*k - 3*k)*(4*k - 6*k - 2*k)).\nAnswer: 22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 2)*((3 - -1) + -7). Let j be (-1)\/((-2)\/(-3)*t). Let y be 14 - 14 - (1 + 11). Which is the third smallest value? (a) -2\/11 (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f. Let s(y) be the first derivative of y**3\/3 + 62. Let i be ((-2)\/1)\/(-2)*-1. Determine i*k(h) + s(h).\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/(-15))\/((-3)\/10). Let x(p) be the third derivative of p**6\/120 - 7*p**5\/60 + 7*p**4\/24 - p**3\/3 - p**2. What is the units digit of x(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 599, 704, 873, 1100, 1379, 1704, 2069?\nAnswer: 2468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 17 = 20078*h - 20083*h, -4*x + 4*h = 12 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31049 + 13366. Suppose 54*a - 51*a + 34332 = 4*b, -4*a + 25749 = 3*b. Let t = p + b. What is t rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*h + 1017 + 990 + 8023 = -2206 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -8*s**2 - 59*s - 56. Let d be x(-6). Solve 5*q = 5, -15 = l - 2*q - d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1299507, 2598966, 3898425, 5197884, 6497343?\nAnswer: 7796802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(3 + 6*(-13)\/27)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 130*y**2 - 20798*y - 246. What is a(160)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682046.\nAnswer: 2, 397, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389 divided by -8.\nAnswer: 389\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -3, -4 in decreasing order.\nAnswer: -3, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 22, -4, 130, 35, 4 in descending order.\nAnswer: 130, 35, 22, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/42)\/((-1650)\/2310)*8\/(-38)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*b**2*y**4 + 18*b**2*y**3 - 1437*b**2 + 2*b*y wrt y?\nAnswer: 420*b**2*y**2 + 108*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -566125*l*m**3 + 27*l*m**2 + 48*l*m + m**2 - 4*m - 4 wrt m.\nAnswer: -3396750*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*i**4 + i**3 + i**2 - 7 wrt i?\nAnswer: -216*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1499*d**2 + 647 wrt d?\nAnswer: 2998*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2023 and 23.7.\nAnswer: 2046.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 106.61 and -0.3.\nAnswer: -31.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 10:46 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 2 = 8*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - t = 160. What is the lowest common multiple of 8 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/120 + s**5\/12 - 2*s**3\/3 - 225*s**2. What is m(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10*t**2 - 28*t + 27. Let z be q(1). Let v(p) be the third derivative of 0*p - z*p**2 + 3\/2*p**3 + 0 + 3\/8*p**4. Differentiate v(k) wrt k.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*o + 34 = 0, 0 = -4*o - 6 + 2. Solve -l = p - 7*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 5*r + 115 = 0, 289*r + 17 = -t + 286*r. Suppose 0 = -v + 6*v - 25. Solve -5*c + t = v*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*h + 76, -4*h = -0*h + 8. Let u = f + 24. Suppose 9*v = u*v + 5. Solve l - v = 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -15. Solve 5*k - 15 = 0, 0*y - h*k - 4 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45936*q - 22362*q - 21989*q.\nAnswer: 1585*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201714283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17043\/(-3172))\/(-19) - 3\/12.\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11587592 to the power of 1\/2, to the nearest integer?\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 6*f + 45.\nAnswer: -3*(f - 5)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1513, -3014, -4517, -6022?\n\"Answer: -h**2 - 1498*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 = -4*r - 3*m + 415, 0 = -3*m + 6. Suppose -1178 + r = -4*u. Calculate the remainder when 4*u\/18 + (-2)\/9 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*d - 4*x - 34, -24 = -d - 5*x. Solve 19*v - 20 = d*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 + 22*c**2 - 760*c - 8837. Calculate x(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4004, -4008, -4014, -4022, -4032, -4044?\nAnswer: -4058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 10 = -5, 4*p - 3*k = 7. Calculate the highest common factor of 6 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.135 - 0.028\nAnswer: -0.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(d + 1 - 1)*(4*d**3 + 9*d**3 - 4*d**3).\nAnswer: 27*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40283038 = -25*u + 14642163. Let j = 472635 + u. What is j rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6534 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*a = -8*l + 343*a - 80, -a = -l - 8 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41 - 2*z + z**2 - 10*z**2 + 73 wrt z.\nAnswer: -18*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 122228, 121135, 119314, 116765, 113488, 109483?\n\"Answer: -364*r**2 - r + 122593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 415*a**4*v**3 - 11*a**2*v**3 - 9*v**3 wrt a?\nAnswer: 9960*a*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 6*a + 9. Let z be m(7). Let j be -1 + ((-6)\/(-3))\/z. Solve -3 = -j*b + b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/(((-1)\/3)\/(13\/117)). Let m(f) = 2*f - 35. Calculate m(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114628296*i*t**2 - 80*i*t + 4314*t + 35 wrt t?\nAnswer: -229256592*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5293483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15967 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a + 0*a - 3 - 3*a. Let u(n) = -20*n + 3. Let k(h) = -14*h + 2. Let c(g) = -7*k(g) + 5*u(g). Give -9*c(q) - 4*d(q).\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s + 86 = -131 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/225 - (0 + (-94)\/(-18)). Let t = -23.2 - -27.2. What is the closest to -0.1 in t, n, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 399 - -204. Calculate the highest common factor of 67 and d.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*g)*(-12 + 14 + 23)*(-2 + 6 - 3).\nAnswer: -50*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 0, -5*t - 5*r - 3 - 9 + 2 = -50 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g. Suppose 2*c - 3*a + 2 + 2 = 0, -c - 4*a - 13 = 0. Give i(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a + 28. Let b be x(28). Let k be ((-30)\/(-21))\/((-55)\/b). Solve 3*q - 4 = w + q, -2*w - k = -3*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15616368.2719 - 15617559. Let t = g - -1046.72869. Let v = 144 + t. What is v rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620*q**3 - 4*q + 8*q + q.\nAnswer: -620*q**3 + 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 10*b - 6. Let p(v) = -3*v + 2. Let f(u) = -u**2 - 5*u. Let n be f(-4). Suppose n*z + 22 = 3*o, 0*o - 3*o - 2 = 2*z. Give o*t(y) + 7*p(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 - (-5486)\/(-1688). Let r = -0.1 - 0.1. What is the closest to r in -0.04, 2, y?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*y + 1617, -2*r - 2*r - y = -2147. Let a = -346 + r. List the prime factors of a.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 9*w - w. Suppose -3*y = 3*b - 3 + 15, -8 = -y + 5*b. Let u be ((-64)\/w)\/(y\/170625). Round u to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 + 221908*n**3 + 19551136*n**2 + 430295360*n.\nAnswer: -4*n*(n - 55565)*(n + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-16)\/(-12)*99\/(-2). What is the greatest common factor of 147 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4\/2 + 12709*w**3\/2 - 44510*w**2 - 50864*w = 0?\nAnswer: -12716, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 = -0. Solve -p = q + 6, -4*p + f*q - q + 11 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/129461160 and -109\/30.\nAnswer: 129461160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o**5 + 108*o**4 - 294*o**3 - 468*o**2 - 81*o = 0 for o.\nAnswer: -9, -1, -1\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blx. Give prob of sequence lb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1957 at least as big as -35145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4020*x**3 + 83*x - 16?\nAnswer: -24120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2. Let v be ((-24)\/6 - -3) + -61. Let m = v - -61. Give t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.4 - 68. Let x = -22 - h. Let c = -0.5 + 0.8. Sort c, x, 0.4 in decreasing order.\nAnswer: 0.4, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 0.26, 83, -5?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = 4*k + 22, 3*a - 34 = 4*k. What is the tens digit of -17*(a - 3)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 569 + -154. What is the remainder when x is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2 + 251116194*t - 5254945240753803 = 0 for t.\nAnswer: 41852699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 = -2*y + 98, 3*y + 2*w = 132. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775588.\nAnswer: 2, 11, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3039)\/(-4052)*(-4)\/(-6))\/((-7)\/20)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 477149 by 3.\nAnswer: 477149\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/((-7)\/28). Let a be q + (-2 - -4) + 8. Solve u = 3*u + a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5 - 3)*(2*u - u - 3*u)*(0*u - 8*u + 0*u).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 + 3 - 17)*(-3*a + 3*a - a**3).\nAnswer: 101*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 132110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 747 + -242. What are the prime factors of w?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + s - 3*s + (6 - 2 + 0)*(-16*s + s - s))*(4*s - 2*s + 0*s + (3 - 3 - 2)*(2*s + 2 - 2)) as z*s + b + g*s**2 and give g.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.4153?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(156)*2)\/(sqrt(12) - ((sqrt(96)*-2)\/sqrt(8) + sqrt(12) - sqrt(12)) - sqrt(12)) + 5.\nAnswer: -4*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1209986970 to the nearest 1000000.\nAnswer: -1210000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -10*t + 3*t. Suppose -805 = -t*s - s. Does 29 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 233.9 - 58.9.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 12:25 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, 12, 5.7 in ascending order.\nAnswer: 1.5, 5.7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 12:17 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + sqrt(1620))*4 + 2*((sqrt(180)*-3 + sqrt(180))**2 + sqrt(180)).\nAnswer: 84*sqrt(5) + 1428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -145100727*d - 7832472 wrt d?\nAnswer: -145100727","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 5:57 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -20112147.84 to the nearest one hundred thousand.\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-231))\/(-4)*-3\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34574 - 173736\/5. Let z = 174 + v. Let q be (2\/(-9))\/(6\/(-9)). Sort z, q, -0.4 in increasing order.\nAnswer: -0.4, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 103*p**5 - 3374*p**4 + 3374*p**4 + (3 + 2 - 3)*(3*p**5 - 5*p**4 + 5*p**4).\nAnswer: 109*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-732)\/671*(-11)\/2. Let f(g) = 14*g - 8. Give f(o).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10.904 (b) -2 (c) 1 (d) 194\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16\/11 (b) -3 (c) 1\/232 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 180470, 3, -3 in increasing order.\nAnswer: -3, 3, 105, 180470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(98) + (1*sqrt(98)*4 - sqrt(98)) - sqrt(98))*2 - (sqrt(98) + (sqrt(98) - (1 + sqrt(98)*2)) - (0 + sqrt(98))*-3)))**2.\nAnswer: 252*sqrt(2) + 918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is -21224201 (base 5) in base 10?\nAnswer: -179926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7842, -15658, -23474, -31290, -39106, -46922?\nAnswer: -54738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*a**3 - 107*a**3 + 326*a**3 - 110*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 17*q**2 - 5*q - 9. Let x(y) = y**3 - 17*y**2 + 6*y + 10. Let j(k) = -4*x(k) - 3*z(k). What is the hundreds digit of j(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l. Let b(t) be the second derivative of -3\/4*t**4 + 14*t + 0 + 0*t**3 + 0*t**2. What is c(b(h))?\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**6\/630 + f**5\/280 + f**4\/168 - 4*f**3\/3 - 2*f. Let c(s) be the second derivative of a(s). Factor c(x).\nAnswer: -(x - 1)*(4*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 1116.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 + 3*n - 38*n**5 + 9*n**5 + 2*n**4 + (-3*n**2 + 3*n**2 - n**2)*(-n**3 - 3*n**3 + 6*n**3) + (-14*n**3 + 33*n**3 + 22*n**3)*(n**2 - 5*n**2 + 2*n**2).\nAnswer: -113*n**5 + 2*n**4 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Let d(f) = 153*f. Calculate d(j(q)).\nAnswer: -153*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**4 + 7*m**3 + 23*m**2 + 20*m + 3. Let y(q) = q**4 - 2*q**2 - q + 1. Let f(c) = -5*d(c) - 15*y(c). Find i, given that f(i) = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 22120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*a + 9 = 0. Let z be 57\/(-2) + 2 + 6\/4. Let d = z + 27. Solve -d*i - i = a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooii when four letters picked without replacement from soioi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*l = -225*l - 450. What is the remainder when 170 is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + 6*f - 3*f)*(7*f**3 - 1352*f + 1352*f) - 2*f**3 - 2*f**4 + 2*f**3 + (-3*f + 5*f - 3*f)*(-5*f**3 + 2*f**3 + 2*f**3) + 2*f**4 - f + f.\nAnswer: 57*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)\/i**(-7)*i**(-14)*i**1)**(3\/32) assuming i is positive.\nAnswer: i**(-19\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 19*c - 23144 = 0. Suppose c = 4*k - 1695. What are the prime factors of k?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10516455?\nAnswer: 3, 5, 17, 59, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7288213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 816251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 18*a**2 - 4*a + 2. Let u be q(2). Suppose 3*x + 46 = 2*x. Let y = x + u. What is the remainder when 57 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 111?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**5 + 9178082*u**4 - 18356158*u**3 + 9178078*u**2 = 0.\nAnswer: 0, 1, 4589039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*h - 188*h = -3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**8\/84 - 4*y**6\/15 - 2*y**5\/5 + 7*y**4\/6 + 4*y**3 - 20*y**2. Suppose p(z) = 0. Calculate z.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.049 + 2.951. Which is the smallest value? (a) 3\/2 (b) -0.4 (c) u (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/198 and 67\/37444.\nAnswer: 336996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*i - 3*i. Suppose -5*c + b + 20 + 33 = 0, 3*b = -5*c + 41. Find the second derivative of -2*a**4 + i*a + c*a**4 - 5*a wrt a.\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4146*b + 2074*b + 2081*b.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 27 + -20 - 24.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12*2*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -130306.\nAnswer: -5\/130306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4170)\/45 - 3\/9. Find the common denominator of (14\/(-21))\/(140\/d) and 35\/4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 + 94. Suppose 10*c = d*c + 3353. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssaa. What is prob of sequence aa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1191*j + 3*y + 10 = -1186*j, 0 = 5*j - 7*y + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 284412?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - 19*c - 5. Let w(o) = -8*o**2 - 54*o - 15. Let s(z) = -14*h(z) + 5*w(z). Determine s(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1400) - -1*sqrt(1400) - sqrt(56))\/(1*sqrt(32)\/sqrt(4)).\nAnswer: -5 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 381456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233211322000 - 32?\nAnswer: -233211322032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2. Let z(y) = 2639*y - 4322*y - 858*y. What is z(w(f))?\nAnswer: 2541*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-5 - (-37 + 12 - -7)) - 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 11 = s - 2, -2*x = 5*s - 41. Let y be (-24)\/s*6\/(-4). Solve 0 = y*a + 3*l + 7 + 9, 0 = a + 5*l + 21 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396934*-5.\nAnswer: 1984670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 211\/4. Let i(h) be the second derivative of 2*h - 3\/20*h**5 - n*h**4 + 0 + 0*h**3 + 0*h**2. What is the third derivative of i(u) wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/3)\/(-7)*-15. Suppose -2*d - i*a = -16, 2*d + a - 8 = -0*a. Let o(k) = k + 16. Let r be o(-12). Solve d*m = r*n - 6, 4 = -2*m - 5*n + 2*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/3096 and -93\/1118.\nAnswer: 40248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*s - 6*s. Suppose 0*c = s*c - 3*p - 3, 0 = -3*c - 2*p - 2. Let k = 1.9 + 0.1. Put c, k, 0.3 in increasing order.\nAnswer: c, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 4*r**2 - 3*r - 2. Let p be n(3). Which is the nearest to 2? (a) -2\/13 (b) -0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 4. Let h(k) = k**2 + 5. Let t(v) = 5*c(v) - 4*h(v). Let p(o) = o. Calculate t(p(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i - 36 - 18 = 0. List the prime factors of (6\/(-4))\/i*(-103 - -899).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvcvvccvuv. What is prob of picking 1 u and 2 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 + 75*p**2 - 119*p - 95. Calculate v(-39).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 3*g + 2. Let w be m(-4). Suppose 8 = i - 3*i. Let p = i + 8. Sort 0, p, w in decreasing order.\nAnswer: p, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 2*y**2 - 7*y + 193. Calculate p(0).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -420491648+0.58\nAnswer: -420491647.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3, 47, 1, 15, -18 in decreasing order.\nAnswer: 47, 15, 1, -3, -16, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/36627695 and -43\/5071527.\nAnswer: 329649255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 975*m**2*v + 4780590*m**2 + 3178*m*v + m - v wrt v?\nAnswer: 975*m**2 + 3178*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - 0 - (4 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w + 101. Let n be b(-20). Suppose 4*z - 2*c = 4, 5*z - n + 11 = 5*c. Solve -4*x = -13 - 3, -2*f - x - 4 = z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**4 - 2*a**2 + 5*a. Let x = 6 + -1. Let g(s) = -9*s**4 - 5*s**2 + 11*s. Let i(q) = x*n(q) - 2*g(q). Find the second derivative of i(u) wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d + 6. Let g(n) = n**2 - 10*n + 12. Let w be g(9). Let t be (-33)\/(-12) + w\/(-4). Suppose -2*r + r = -t*j + 2, 3*r = 5*j - 7. Determine z(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 6. Solve 0 = -d*v - 5 + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 4, 5*m + 8 = 3*g + 4*m. Let v(t) be the second derivative of 1\/2*t**2 - 7\/24*t**4 + 0 - 5\/12*t**g + 2*t. Factor v(d).\nAnswer: -(d + 1)*(7*d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146452*m*p**2 + 2*m*p + 107*m - 4*p**2 + 71*p - 8 wrt p.\nAnswer: -292904*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.089 + 4.789. Let p = 4.70000089 - l. What is p rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 5, w: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 3*v. Let a(o) = 476*o**2 + 18*o + 1. What is a(u) - 6*z(u)?\nAnswer: 482*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f*f\/((f**13*f)\/f))\/f)\/f*f**(5\/4)*(f\/(f**10*f))**(18\/11))**32 assuming f is positive.\nAnswer: f**(-9544\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -956, -955, -954, -953, -952?\nAnswer: -951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.38.\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(605))*2 + (sqrt(605) - ((0 + sqrt(605) - sqrt(605))**2 + 2)) + -5 + -2*sqrt(605) + -4.\nAnswer: -16 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 56*k - 17*k + 17*k - 4*k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 399 and 18501?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 1 - 4 + 7 - 1 + 6*u**2 + 2*u. What are the prime factors of x(5)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(-2 - 2 + 0)*(-5*j - j + 0*j + (4*j + 0*j - 2*j)*(1 - 2 - 5)) to the form a*j + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 720 + -216. Let d be (5 - r) + 12\/3. What is the common denominator of -37\/52 and ((-1)\/11)\/((-44)\/d)?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5))**(2\/9)*n**(2\/5)\/(n\/(n**(5\/2)\/n)) assuming n is positive.\nAnswer: n**(73\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -72603 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**5\/60 - 5*r**4\/12 + 26*r**3\/9 - 6*r**2 + 140*r. Find s, given that t(s) = 0.\nAnswer: -18, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777.443199 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 9) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.424 - -3.576. Let y = -0.4 - 1.6. What is the closest to y in 3, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {y: 7, w: 1, m: 6, s: 3, g: 2}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ionos?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 10 = -f. Let o = 63 + f. Solve o*t = 3*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d + 3. Let p be a(-2). Let z = p + -4. Let w = 66 - 36. Calculate the remainder when w is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 times 11.4\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 59 - -4785759?\nAnswer: 4785807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*((-60)\/(-18))\/(-10))\/((-4116)\/504).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261 and 739.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*b - 7*b = 18, -2*b - 26 = -2*d. Suppose -d - 13 = -3*m. Solve -m*p + 24 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5313 - 17169 = -156*r. What is the greatest common divisor of r and 1558?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3377229650 rounded to the nearest one hundred thousand?\nAnswer: 3377200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.57671781 rounded to 3 dps?\nAnswer: 1.577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1240343023 + -20?\nAnswer: 1240343003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugsnv. Give prob of picking 1 u, 1 g, and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 4*k + 20, -15 + 4 = -2*t + 5*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o - 82. Let r be n(14). Let g(q) = 415*q**2 - 6*q + 3. Is g(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00137216413 rounded to 5 dps?\nAnswer: 0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7373, 14747, 22119, 29489, 36857?\nAnswer: 44223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-7)\/10) + 20 + -24 + 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 14*a = -22. Calculate the smallest common multiple of 28 and ((-2)\/4)\/(a\/8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*w + 576 = -2128 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2119 (b) -1\/2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/336 and 101\/720?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/3 + 6476*w\/3 - 169984.\nAnswer: -4*(w - 1536)*(w - 83)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*a + 7 = -3*u, 0 = 4*a - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**6 + 2*j**5 + j**3\/3 + 200*j**2 + 409. What is the third derivative of q(k) wrt k?\nAnswer: -360*k**2 + 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 3303232103?\nAnswer: -3303232110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 141488 divided by -296?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/7 and -5\/231426.\nAnswer: 1619982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 4:40 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 329 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**3 - h - 4*h**2 + 127*h + 163*h + 7*h - 8*h**2 wrt h?\nAnswer: -24*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8498 (base 14) to base 13\nAnswer: a543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z = 2*p - 6, 0 = -2*z + 5*p + 4. Is ((-3)\/z)\/(1\/(-158)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 11. Let u be 1\/(m\/(-15) - -1). Let z be (7 - 6)\/(u\/6). Solve 2*p + 5*b - 29 = 0, -z*p + 2*b = 4*b - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l - 5*l + l)*(3 + 1 - 1) + (2 - 2 - l)*(3 - 1 - 3) as w + u*l and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -46*x**7\/7 + x**4\/12 + 35*x**3\/3 - 139*x**2 + 5*x. Find the second derivative of o(l) wrt l.\nAnswer: -16560*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 25\/4, 5\/3, 1.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/372837 and -14\/19623.\nAnswer: 372837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 491 - 31 = 106*p. Let h(q) be the first derivative of 11*q**2\/2 - 3*q + 2. Let r(d) = -6*d + 2. What is p*h(b) + 7*r(b)?\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 5:19 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 848?\nAnswer: -254.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -6*u - 9. Suppose 0 = -5*f + 3*x + 31, 0 = -f - 3*f - u*x + 14. Suppose 3*o - 2*h - 21 = -6*h, o = -f*h + 18. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 1 + 4 + 14*f.\nAnswer: 14*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*d*h*r**2 - 4*d*h + 4*h - 37*r**2 wrt d.\nAnswer: 8*h*r**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2713069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -4, 0.115?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296 divided by 43.\nAnswer: 296\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -27*c + 69. Let h be w(-5). Let g = h - -14. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 17*o - 37. Let r(c) = 8*c - 18. Let q be 42*(-21)\/(-98) + -3. Determine q*u(m) - 13*r(m).\nAnswer: -2*m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1061\/12 + 529\/6. Suppose 0 = s + 2, -3*s + 7*s = 4*g - 16. Suppose 0 = -g*c + c. Is b less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 - 2*l**5 + 0*l**3 + (3820 - 10*l**2 - 1932 - 1913 - 2*l)*(-4*l**3 + 3*l**3 - l**3).\nAnswer: 18*l**5 + 4*l**4 + 50*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1274 and 93\/21364.\nAnswer: 277732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.4 - 5. Let n(i) = -i**2 + 15. Let q be n(-4). Which is the closest to r? (a) 1 (b) q (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 15*v**2 - 598*v - 67. Calculate x(40).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = 3. Let g(i) = 940*i. Let v be g(-1). Is v\/(-25) + f\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 471.3 - 689. Let z = a + 229. Round z to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1347675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - 50. Let q = w - 26. Let n(z) = 2*z**2 - 2*z + 2. Give n(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geymiemegmemmemeee. What is prob of picking 1 y and 1 m?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, u: 19}. What is prob of picking 3 u?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -5 (c) -4\/3 (d) 204113 (e) 1\/4 (f) 3 (g) -92\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4745149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppe when three letters picked without replacement from epeppeexemeepmemxe?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gll when three letters picked without replacement from kllg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 120\/821 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, n: 3, y: 2, b: 1, s: 1}. Give prob of sequence vv.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 1. Let k be -2 - (-1 + 1) - -1. Let w be c(k). Suppose -y + 1 + 3 = 0, w = -3*q - 4*y + 97. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36487 is divided by 36487?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 0.4 (c) -0.7 (d) -0.5 (e) -0.45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, c: 7, a: 2, j: 1, q: 4}. What is prob of sequence ajdc?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48081564 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 - 2*h**3 + 25*h**3 - 20*h**3 - 5*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 305289 to the power of 1\/2, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1814, 1805, 1796, 1787, 1778?\nAnswer: 1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*j + 38 + 190*j + 451*j - 40.\nAnswer: 479*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, -81, 0.1.\nAnswer: -81, -0.22, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009978347 divided by 6909?\nAnswer: 146183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -307*r**3 + r**2 - r + 1. Let w be o(1). Let p = w - -473. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - 10 + 5 + 6*l + 7 + l**2 + 1 - 1 + (-l - l + 0*l)*(2 - 2 - 2*l) + 2*l**2 + 0*l + 0*l + 5*l - 5*l - 18*l**2.\nAnswer: -12*l**2 + 6*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 39, 0 in increasing order.\nAnswer: -3, 0, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-4 + 4 - -2)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, h: 1, p: 3, m: 3, w: 2}. What is prob of picking 1 p and 2 u?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 9:41 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, z: 3, o: 2, y: 2}. What is prob of picking 1 z and 2 o?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -392\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 40*b**2 - 92*b - 48.\nAnswer: 4*(b - 12)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a2c4 (base 14) to base 10.\nAnswer: -143252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 0.764 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6\/(j*j**(1\/5))*(j*j\/(j\/(j\/j**(-4)))*j)\/(j**(3\/2)*j))\/(j**(-9)\/((j\/(j\/j**(-2\/19)))\/j))**(-17) assuming j is positive.\nAnswer: j**(-23733\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3*j + 6 = -a, 3*j = a - 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -26*y**3 + 17*y**2 + 20. Let t(x) = -9*x**3 + 6*x**2 + 7. Suppose 39 = -4*q + 5*i, 5*i + 14 = -5*q - 1. Determine q*n(s) + 17*t(s).\nAnswer: 3*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 61616.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37628423 or 37628421?\nAnswer: 37628423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, 3.65, 1\/7, 17.\nAnswer: 1\/7, 3.65, 17, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 846*g**2 - 79524*g + 2491752.\nAnswer: -3*(g - 94)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -5, 1\/4, 5\/6, 3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -68964*u**3 - 68959*u**3 - 16*u**2 + 6 + 2*u - u**4 + 137922*u**3 as k + y*u**3 + a*u**4 + j*u + f*u**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(200) + sqrt(200) + -5)**2 + -1 + sqrt(54)\/sqrt(3) + 1.\nAnswer: -357*sqrt(2) + 881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-29)\/(-3) - (-9)\/27. Suppose 11*x - 6*v - 81 = -7*v, 4*x - 4*v - 60 = 0. Is x greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anne when four letters picked without replacement from nazaznanaaznea?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176965 divided by -35393.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - x)*(1 - x + 0*x + 0).\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z + 105 = -111. Let k(m) = -m**2 + 7*m + 9. What is k(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4695\/(-53210))\/((-6)\/(-20)).\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 + -51. Which is bigger: j or -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -471.9*-4\nAnswer: 1887.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143739 is divided by 28726.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4662 - -3339.32.\nAnswer: -1322.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/13 - 152860*o\/13 = 0. Calculate o.\nAnswer: -76430, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 1 = -2*f + 4*f, -f + 17 = -5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {j: 3, h: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 2 + 0 + 3*j + 0*j. Suppose 27 = -5*t - 28. Let w be (t - 1)\/(-3)*-1. Give f(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1669418 to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -605\/8 > -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x**2 + x - 1. Let q be r(-3). Let z = q + -41. What is the remainder when z is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - b - 2*b)*(-2 + 0 + 3 - 2 - 3 + 4 + (0 + 0 + 2)*(-1 + 4 - 1) - 1 - 3 + 3 - 3 + 3 - 2 - 3 - 2 + 3 + (0 + 2 + 1)*(-2 - 1 + 4))*(-27 + 93 - 515).\nAnswer: -1796*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 252, 4, 5.\nAnswer: 1\/7, 4, 5, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u - 225. What is m(-13)?\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142001 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 86386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-49)*7 + (0 - 0)\/1. Is j at most as big as -2\/7295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t = -19*t - 7 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 2:58 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(r**3 + r**2 - r**2) + r**2 + 2*r**3 - r**2 + 4 - 2*r**3 - 4 + 3*r**3 + 0*r**3 - 5*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(50))\/(sqrt(3) + (sqrt(432) - (2*sqrt(432) - sqrt(432)))) + (1*-1*sqrt(187))\/((sqrt(110)*-2)\/sqrt(10)).\nAnswer: 7*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.10077 + 407.64077. Let d = -408 + z. Which is the closest to d? (a) 2\/15 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49 and -1634.905.\nAnswer: -80110.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g - 8. Let s be u(6). Let z(n) = -3*n**3 - n**2 - n. Let h be z(-1). Suppose 0 = 2*i + j - s, 0 = h*i + j + 4*j - 33. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169464880 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/4))**42)**(4\/13) assuming w is positive.\nAnswer: w**(126\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 5 + -3 - 6) + (-146)\/(-11) - 9.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o + o - 11*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 0*l + 7*l**3 - l**2 + l**2 - l. Let d be f(-2). Let m = -37 - d. Calculate the lowest common multiple of m and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + p + 0*p + 0*p + 1 + 8*p - 1 + (-2 + 0 + 0)*(-20 + 20 - 17*p))*(2 - 3 - 2).\nAnswer: -129*p + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 12762424?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 2*z + 3*x + 22, -4 = z + 4*x. Find the third derivative of z*n**3 - 6*n**6 + 1 + 15*n**2 - 8*n**6 - 4*n**3 wrt n.\nAnswer: -1680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1381 + 2394. Let a = p - 242. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*y = 78276 - 80755 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + k + 1279 = -k, -523 = -2*v - 3*k. Let n = v - 246. What is the highest common factor of n and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*u - 87 = -96, -3*p + 2*u = -4. Calculate the remainder when 19 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*s - 120 = 80*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1905, -4, 1 in descending order.\nAnswer: 1905, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 4*z**2 - 12. Let x be m(-5). Let w = x + 148. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2971 - -3488. List the prime factors of w.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000284 rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - 4 + (2 + 3 - 2)*(3 - 2 - 2))*(701*l - 701*l + 42*l**2).\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-1 - -5)\/(-10 - -11). Let p(z) = -z**2 + 2*z + 1. What is p(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2) + 22 + -22.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 15*l + 39*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -149 - -24752708.\nAnswer: 24752559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37509450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -26863*t + 107391. Give r(4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 less than -29.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010798792133 to 6 dps.\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7.12 (b) -0.2 (c) -3\/16 (d) 1\/5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566774 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {a: 1, k: 1, l: 2, m: 9}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*i + 72*i + 27*i**2 - 90 + 42*i to the form r*i**2 + a*i + g and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*z. Suppose 5*k + z - 135 = 0. Suppose -w - 1 = u - 0*u, 5*w - 3*u = k. Solve 0*q = o - w*q - 12, 2*o = 5*q + 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2850 divided by 475?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 327*t**4 + 2*t + 1 - 692*t**4 + 364*t**4 + 45 in the form l*t**3 + k*t**2 + r*t**4 + n*t + v and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -8466*i - 1. Let x(l) = -5*l**2 - l - 596. What is p(x(h))?\nAnswer: 42330*h**2 + 8466*h + 5045735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3312 and 719352.\nAnswer: 33090192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g - 8. Let r be i(-4). Suppose 38*q - 52 = r*q. Solve 0 = 3*p + q*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 3*x**2 - 4*x + 2. Let s be m(-4). Solve -5*f + q + q = 14, s*f - 5*q + 14 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23615724 (base 9) in base 8?\nAnswer: -53756346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2\/1881, -14, -0.4, 1\/7, 0.3, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 22*k - 21. Let a be f(-1). Put 0, -3, -33, a in decreasing order.\nAnswer: 0, a, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 478 and 353242.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*x**4 + 113*x**2 + 4*x + 31982 wrt x.\nAnswer: -36*x**3 + 226*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**3 - 18*p**2 - p + 29. Calculate the remainder when 137 is divided by u(5).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = d - 486. Let s = 84 + d. Solve -s*i + 4 + 1 = 5*x, 3*x - 3 = -3*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 379384718 to the nearest integer?\nAnswer: 19478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 14 = -1, 3*s - 1499 = -5*w. List the prime factors of w.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c - 4. Let n be p(-6). Let f = 355 + -348. Calculate the greatest common factor of n and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 431.0946l?\nAnswer: 431094.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) 1 (c) -0.14 (d) 4103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 43*o**2 + 43*o + 58. Calculate the remainder when 1471 is divided by p(-42).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(-6)\/t)\/t*t)**(-2\/45) assuming t is positive.\nAnswer: t**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 5:17 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 42.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.8 take away 251758246?\nAnswer: -251758142.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 75888.82 millennia?\nAnswer: 758888.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**7\/1260 + n**6\/360 - n**5\/120 - n**4\/18 - n**3\/9 - 8*n**2. Factor d(c).\nAnswer: (c - 2)*(c + 1)**2*(c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -9 - (-60 + 80)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200 - 196. Let f be (4\/(-6))\/(20\/30). Which is greater: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11354781827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 31173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**16*g**25*g*g)\/((g*g**18)\/(g\/(g**8\/g))) assuming g is positive.\nAnswer: g**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 - 54 = s + 5*u, 3 = u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0782 - 0.0782. Which is the closest to 0? (a) z (b) -4 (c) -0.09 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l - 5*l**3 + 3 + 4*l**3 + 2*l**2 - l**2. Let b be o(0). Suppose -b*t + 5*j + 135 = 54, -4*t - j + 131 = 0. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177453 - 0.1.\nAnswer: 177452.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -360568 (base 10) to base 11\nAnswer: -22699a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -281 - -293. Solve 13*m + u = 16*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6\/23 (b) 64 (c) 4 (d) 3 (e) -3 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 148 = -2*t. Suppose 15 = -3*g, 3*q - t = 4*g - 9*g. Calculate the greatest common divisor of q and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 - 51 = -2*u + 3*s, 4*s - 559 = -5*u. Solve u*v - 110*v + 10 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2055*l**5 - 4*l**2 + 12192*l wrt l?\nAnswer: 41100*l**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 1:33 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 1. Let m(g) = g**2 - 2*g - 2. Let b(k) = 2*m(k) - 4*u(k). Let p(c) = 9*c**2. Calculate b(p(n)).\nAnswer: 162*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**4 - 6*u**3 + u**2 + 6*u. Let r(l) = 5*l**4 + 13*l**3 - 3*l**2 - 13*l. Let d(y) = 13*o(y) + 6*r(y). What is the third derivative of d(q) wrt q?\nAnswer: -216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, j: 2}. Give prob of picking 1 j and 3 y.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 4 - -9)*(14 + -15) + (-144)\/71\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14886 to the nearest one hundred.\nAnswer: -14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(4\/2)\/2. What is the first derivative of j**2 - 3*j + 3*j - 5*j**2 - s wrt j?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 99*p**3 + 3558*p**2 - 7740*p + 456.\nAnswer: 3*(p - 2)*(p + 38)*(33*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230 (base 5) in base 2?\nAnswer: -10111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 826562090 and 0.2.\nAnswer: 826562090.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324218167?\nAnswer: 7, 13, 271, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 571, 2274, 5109, 9076, 14175, 20406, 27769?\n\"Answer: 566*j**2 + 5*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + p - 15 = -4*p, 5*q - 13 = 3*p. Let k(r) = -r. Suppose 14*n = 5*n + 27. Let l(a) = 2*a - 2. Let c(u) = n*k(u) + l(u). Give c(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 41\/7527 (b) 2\/15 (c) 6\/5 (d) -0.003\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/sqrt(288) + sqrt(99)\/(-3*sqrt(9) + sqrt(9)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33332 + -1312040?\nAnswer: -1400422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2025*y + 2020*y + 10 = 0. Suppose 2*p + y*p - 12 = 0. Solve -p - 5 = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) 1 (c) -2175 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = -10*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 56563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 260f2 (base 16) to base 6\nAnswer: 3201414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -13*h**5\/20 + 7*h**3\/6 - 2*h. Find the second derivative of r(f) wrt f.\nAnswer: -78*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -165 + 165.517. Let s = v + -1.517. Suppose 0 = -3*n - 6 - 6. What is the nearest to 2\/15 in 2\/5, s, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m**4\/2 + 98411*m**3 + 1752821*m**2\/2 + 1690029*m - 160956 = 0. Calculate m.\nAnswer: -17884, -6, -3, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - -220?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39111488 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1584) - (-2 + 1 + sqrt(1584))) + (sqrt(1584)*-1*-5 + sqrt(1584))**2) - (3 + (sqrt(1584)*3 - sqrt(1584)) + 1)*6.\nAnswer: -228124 - 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4649870 smaller than -4649870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 32*m**2 - 435*m + 909. Calculate k(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -4*a + 17, -4743*a - 5*l = -4740*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*o**2 + 20\/7*o - 36\/7.\nAnswer: -(o - 18)*(o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**2 + 0*d**2 - 28398 + 241*d**5 + 28391 wrt d?\nAnswer: 14460*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231 (base 12) to base 6\nAnswer: -1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h - 1. Suppose -867*a + 850*a = -561. Calculate the remainder when a is divided by s(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (8 - -5 - 6) - (16 - 3)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12084 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -140979, -1127793, -3806271, -9022239, -17621523?\n\"Answer: -140971*j**3 - 6*j**2 + j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -129*f - 577. Is w(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*z + 62*z - 4*r + 8*r - 13 = -69*z, r - 8 = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-two ninths of a hour?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920817 bigger than -2.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 0 + 11\/2*c**3 - 12*c**2 - 1\/20*c**5 + 23\/12*c**4 - 16*c. What is the units digit of a(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -296 times -0.0738\nAnswer: 21.8448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**4 - 340818*x**3 - 9682808628*x**2 - 174131085528*x + 1393441244352 = 0.\nAnswer: -56794, -24, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**2 + 789*l - 6 - 10 + 15 - 5*l**2 - l**2 to m*l**2 + p + f*l and give f.\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.568 - -0.432. Let n = -0.03 - -0.23. Let c = n + 0.8. Is c < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2131013 (base 5) to base 16\nAnswer: -8e1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 6)*(1 - 1 + y)*(-2*y + 0*y + 3*y) as u*y**2 + a*y + p and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from apppppppppppfpppa?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 20175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) + 1)*6 - (-4 + sqrt(112)*1 + sqrt(112) - sqrt(112))) + -3)**2.\nAnswer: 280*sqrt(7) + 2849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 5*c - 2. Suppose 0 = 5*v - 0*y + 2*y - 23, y + 2 = 2*v. Let u be b(v). Let l = 0 - 0. Solve 2*g - u*g = l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 11*g**3 + 1. Suppose 58*c - 972 = 304. What is the lowest common multiple of c and z(1)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112782.\nAnswer: 2, 3, 18797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 33*h. Let u(y) = 2*y**2. Give u(p(i)).\nAnswer: 2178*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) 10 (c) 22\/13 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s - 4 - 136 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1603398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6121955 and 1785.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00164931 rounded to five dps?\nAnswer: -0.00165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-68)\/2)\/(-2) + -2. Let h be -2*(u\/6 + -2). Let b = h + 2. Which is smaller: 1\/2 or b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6578545*t + 51237409?\nAnswer: 6578545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27609.33 months in years?\nAnswer: 2300.7775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.53 + 0.17. Let j = -1.5 + 2. What is the smallest value in f, j, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 8*o**3 + 6*o + 1. Let s = 117 + -122. Let x(c) = -7*c**3 - 5*c - 1. Suppose 2*f = 5*y + 24, 2*y - y - 5*f = 9. Give s*q(w) + y*x(w).\nAnswer: 2*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 12. Let o = l - -43. What are the prime factors of o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**5\/3 + 11*h**4\/8 - 47*h**2. What is the second derivative of i(d) wrt d?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24262 (base 7) to base 10\nAnswer: 6316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -49, -47?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, i: 11, o: 1, v: 5}. Give prob of picking 1 l, 1 o, 1 v, and 1 i.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -0.5 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 8. Let d = -36 - -29. Let h be k(d). Is -2*(-6)\/h - -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103002*y**3 + 282106*y**2 wrt y.\nAnswer: 618012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5\/8, -115, 0.3, 1\/5, 2\/9 in ascending order.\nAnswer: -115, -0.2, 1\/5, 2\/9, 0.3, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence maai when four letters picked without replacement from maaziwx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102924 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-seven fifths of a minute?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - 2*l**2 + 0*l + (-1 + 1 + l)*(128 + 30*l - 128) to the form j*l + o*l**2 + z and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -607, -2325, -5189, -9199, -14355, -20657, -28105?\nAnswer: -36699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8841320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 600 and 11200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11666786.\nAnswer: 2, 5833393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/((-2)\/(-20)) - 3. Suppose w + 3*q + 45 = h*q, 4*q - 212 = 4*w. Let d = 55 + w. What is the remainder when 21 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 + 42*y**2 - 158*y + 121. Let h be b(8). Suppose -17 = -2*g - 5*z, g - 5*g = -3*z + 31. Put -1, g, 0, h in descending order.\nAnswer: h, 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8331*q**2*x - 12145*q*x**2 - 487*x**2 + 930*x + 72 wrt q?\nAnswer: 16662*q*x - 12145*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 43\/11772524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 20 = d. Let k be (0 - (-6)\/d)*-30. Let v be 4\/(-14) + (-158)\/(-14) + -2. Calculate the greatest common factor of v and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1040 and 1 + 6335\/(-2184) + 8\/4.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.9406369\nAnswer: -0.37625476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 135*n**2 + 34*n + 8. Calculate o(2).\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eveeeev?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 - 9.07. Let g = 0.5 + 0. Let w = -12876 - -12876.3. Which is the smallest value? (a) x (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 786 + -722.2. Let d = -48 + f. What is d rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 694\/(-9369) + (-3 - 59332\/(-540) - 1\/(-5)).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787796735 to the power of 1\/3, to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120959 and 2562643.\nAnswer: 2813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + x**2 - x**2)*(4 + 0 - 6) + 89*x + 5*x**2 - 89*x + (-2*x + 4*x - 3*x)*(-2*x + 4*x - x) + 4*x**2 - 2*x**2 - 3*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -209.391 and -0.011.\nAnswer: 2.303301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -121, -236, -387, -568, -773, -996?\nAnswer: -1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3515538?\nAnswer: 2, 3, 13, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3470*s**3*t**3 + 483*s**3 - 16100*s - 748*t**4 wrt t.\nAnswer: 10410*s**3*t**2 - 2992*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {v: 1, u: 1, k: 7, o: 1, a: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 + 17 - -20 - (1 + -30)) + 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19595 divided by 5\nAnswer: 3919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6705455?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-33)*(120\/32)\/(-5)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 1)*(0 + 2 - 1)*(-4*n**4 + 7*n**2 - 7*n**2).\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 423*c*q + 1004483*c - 1104*q - 162311 wrt c.\nAnswer: 423*q + 1004483","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.258 rounded to one decimal place?\nAnswer: -23.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3174*q + 57598 = -258357 - 14141 for q.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b*d**2*n - 3*b*d*n**3 - 96*d**2*n**3 - 4*d**2*n**2 + 17*d*n**2 wrt n?\nAnswer: -18*b*d - 576*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 2. Let i be o(2). Suppose i = 3*t - j - 9, -6*t + 2*t + 12 = 5*j. Solve p + 10 = t*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 14 = 4*w, -87*w = 11*m - 89*w + 28 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -47, -27, -7?\n\"Answer: 20*k - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/1021 - -3077\/7147. What is the nearest to -2 in 3, 0.6, z, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -10*v**2 + 3*v - 3. Let d(f) = 24*f - 1102. Let b be d(46). Calculate i(b).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13126 to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -219 by -351.\nAnswer: 73\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 270 - 268. Let c = 4.1 - 0.1. What is the closest to -0.1 in h, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16091641738 - 16091673529.851061. Let h = -31792 - r. Let z = 0.149 + h. What is z rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6*1)\/(74 - 166525\/2250)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 less than 0.081?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -29. Suppose -x*d + 2*d = -14. Suppose 0 = -2*q + 53 - d. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144*w**5 + w**4 + w**2 + 91*w**5 - w**2 + 442*w - 66*w**5 wrt w?\nAnswer: 3380*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 minus -202?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-1 - -3) - -27. Let j = b - -63. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 546 - 551. Is i bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -279369584 - -166813836. Let i = g + 112555861.0000048. Let x = i - 113. Round x to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 0. Suppose -t + u + k = 4*u, 3*u = 3. Suppose 0 = t*m - 40 - 10. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 15 - 50 = 0. Let u = t - -35. Does 9 divide (-4)\/(-8)*u*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 3*l + n + 104, -l + 12 = 2*n. Suppose -2*c + 12 = -4*u - 16, -3*c - 3*u - 3 = 0. Solve 5*r + 5*f = l, 2*f = -r - 0*f + c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22997, 46003, 69001, 91985, 114949?\nAnswer: 137887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 - (13 - 830\/90)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -18 - 9. Suppose -4*v + h = -3. Solve -2*l + 4*d - d - 9 = 0, -3*l + v*d - 6 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 439 divide 59310217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 4*y**2 - y. Let n be 20\/6*(-5 - 52\/(-8)). Suppose -n*b = -6*b + 14. What is the remainder when b is divided by l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2212)\/(-266)*-95*12\/120?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32596 - -64223. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + 0*k**4 + k**4 + 0*k + 2*k**4 + 0*k + 538 - 810*k - k**2 - 559 - 4*k**4 + 805*k + (4*k - 4*k + k**3)*(-6*k + 3*k + k).\nAnswer: -6*k**4 - k**2 - 5*k - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51908.94 minutes in nanoseconds?\nAnswer: 3114536400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2642 - -2654. What is the least common multiple of t and 234?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*1*(-4)\/4. Find the common denominator of 176\/(-6)*u\/(-30) and -75\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3716813 to the nearest integer?\nAnswer: 1928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-273846)\/(-14) - 24\/(-42). Let l = h - 313075\/16. Calculate the common denominator of l and -93\/44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 551, 2004, 4151, 6770, 9639, 12536, 15239, 17526?\nAnswer: 19175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d**3 + 5*d - 5. Let k(n) = -11*n**3 + 4*n**2 + 5*n - 3. Let j(g) = 2*g**2 - g + 2. Let u(a) = -2*j(a) + k(a). Give -5*u(o) + 7*v(o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*d = 26, -2*w + 3*d + 17 = -w. Find the common denominator of -87\/4 and (-39*w\/16)\/((-90)\/(-168)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*t + 486*t + 55 = 162*t + 169*t. What is a in 0*a**2 + 1\/2*a**t + 1\/2*a - a**3 + 0*a**4 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**3 - c**2 + c**2)*(33*c + 165 - 35*c - 8) in the form p*c + b + g*c**2 + r*c**3 + d*c**4 and give r.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423*i + 190*i + 39*i + 143*i + 81*i - 2.\nAnswer: 876*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 1\/5*n**2 - 62\/5*n + 61\/5 = 0.\nAnswer: 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13\/132 + -16\/33. Let r = 3\/22 + t. What is the closest to r in -0.4, -4, -9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1826 or 1813?\nAnswer: 1826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1019 - -1018.9. Put 6, 0.4, i in decreasing order.\nAnswer: 6, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*a - 97*a = 32 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 7*s**2 + 15*s + 15. Let f(t) = -4*t + 19. Let g be f(7). Let d be w(g). Suppose -4 = -p + 17. What is the highest common factor of p and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1827.5 + 1827.44. Which is the closest to q? (a) 4 (b) 0 (c) -2 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187202127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44120840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 - 9*d + 1. Let o be p(-1). Calculate the greatest common divisor of 99 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -648.44 * 63.\nAnswer: -40851.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 + 149*l + 107. Calculate b(-49).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.1, 0, 1, -8.\nAnswer: -8, -0.1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 2*n = -5*g + 97, 0 = -2*g + 2*n - 170. Let u = -6 - g. Is 24 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100111 (base 2) to base 14.\nAnswer: 26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 341833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5\/9, -28, 0, 4\/5?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -145, -360, -567, -760, -933, -1080?\n\"Answer: l**3 - 2*l**2 - 216*l + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - d**2 + 15*d + 17. Let a be b(-5). Suppose 6*n + a + 12 = 0. Calculate the smallest common multiple of -3 - n\/6*(1 - -3) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44745 and -0.15317.\nAnswer: -44745.15317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -231 less than or equal to -129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 1484*u + 4459*u + 6 - 1516*u - 1502*u.\nAnswer: -43*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l - 71. Suppose 0 = -6*f + 2*f + 92. Let n be s(f). What is n rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 3*t + o - 1, -t + 5*o + 10 = 0. Suppose 5 = 5*s - 10. Suppose -s*u = 7 - 22. What is the highest common divisor of t and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02641 to three decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -18*b**3 + 2*b**2 - 1. Suppose 36*z + 29 = 7*z. Calculate g(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 13. Let y(g) = -g**3 + 8*g**2 + 7*g. Let t be y(r). Suppose -27 = -5*c + t. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5 + 15. Find the common denominator of (-3)\/(-12) + (-804)\/(-16) and (1\/(-16))\/(y\/30).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 4 - 2 + v - v**4 + 2*v**3 to the form t*v**3 + u*v**2 + o*v**4 + x + r*v and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 0 - 2*r**2 + 3*r - 1\/6*r**3. Calculate u(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.3 + -3. Let h = -19194 + 19191. What is the smallest value in 0.5, -2, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**4\/6 + 5*s**3\/6 - s**2\/2 - 611*s - 2. Let z(q) = q**3 + 5*q**2 + 10*q - 3. Determine -5*j(c) + 2*z(c).\nAnswer: 2*c**3 - 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j + 105. Suppose -10 = 7*a - 2*a. Is (j\/(-2))\/((-1)\/a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (6 + -3)) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(15\/(-6)*4\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 1. Let o(k) = 506*k**2 - 17204*k - 8602. Calculate 34408*l(u) + 4*o(u).\nAnswer: 2024*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -193060.\nAnswer: -193060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 0*(-5)\/(-15). Let f(v) be the third derivative of 1\/3*v**q + 0*v + 0 + 2*v**2 + 1\/12*v**4. Find the first derivative of f(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(130)*1 + sqrt(130))*-3)\/(1*sqrt(640) + -2*sqrt(490))*2.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -14245*g + 22. Let u(i) = -8*i - 1. Determine h(q) + 22*u(q).\nAnswer: -14421*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3219 greater than -18187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1246466?\nAnswer: 2, 13, 191, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**6\/30 - n**5\/4 - 197*n**3\/2 + 472*n**2 - 9277*n. Differentiate j(c) wrt c.\nAnswer: -4*c**3 - 15*c**2 - 591","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/619 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-5\/7))**(-25)\/(p**(-3\/14)*(p**(2\/35)\/p)\/p))**26 assuming p is positive.\nAnswer: p**(-4537\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(-2\/105)*p\/(p\/p**8)*p**(-10))**22 assuming p is positive.\nAnswer: p**(-4664\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (17 - (-22 + (-45 - 2))).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2930.\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzzfykovfzyo. Give prob of sequence ffzv.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79436514 and 678.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-4)*567\/(-945)*261\/203?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152)\/836*(-88)\/12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11618 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -44)*(-26)\/39. Suppose -5*h + 140 = -4*h. Calculate the highest common divisor of t and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -34. Suppose -5*o + 6 - 6 = t. What is the remainder when 21 is divided by (o - -2) + 0 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1039\/4 smaller than -260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h**2 - h - 4. Suppose 5*w - 2*m - 13 = -3*m, 2*w + 2*m = 2. Let z be f(w). Let k = -54 + z. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(36\/4)*-9. Suppose 0 = x*t + t - 1056. Let n = t + -514. Round n to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003603 times -963?\nAnswer: 3.469689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 208906 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42535 and -56?\nAnswer: -2381960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 1 + -3 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.9 to zero dps.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 - 2*z**2 + 137 + 226*z**3 - 72 + 84*z - 84*z as n + b*z**3 + k*z**2 + a*z and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*j + 0*j - 357 = -50*j for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*q + 13 - 39, -2*g + 3*q = -30. What is the biggest value in 4, g, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14480, -28933, -43390, -57851, -72316, -86785?\n\"Answer: -2*c**2 - 14447*c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**4 - 3176*m**3 - 18*m**2 - 2144975*m?\nAnswer: -24*m**2 - 19056*m - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - g = -3*k + 4, 5*k = 4*g + 25 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2700 and 1948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 14985515*g + 14985520.\nAnswer: -5*(g - 1)*(g + 2997104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3*(sqrt(11) + 1))**2 + sqrt(66)\/(sqrt(6)*-2))*3.\nAnswer: 105*sqrt(11) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3fa (base 16) to base 4\nAnswer: 33322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 142544441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-58)\/(-6) - (-1)\/3. Suppose -11*p - 41 = -140. Let b(i) = -4*i**2 + i**2 - 3 + 2*i**2 + p*i. Determine b(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933112 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26826*l + 57297*l - 28449*l to the form i + f*l and give f.\nAnswer: 2022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/4 + 13\/2. Suppose 3*v - s*v = 0. Let u = 3 - v. Solve -4*k = -u - 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281957 is divided by 2953?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, f: 4}. Give prob of sequence fkff.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*p - 1872 = 0, 4*g - 4*p + 924 = -924. Let c be ((-8)\/(-6))\/(1385\/g + 3). Let d = 86 - c. Calculate the remainder when 118 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d*p**4 + 2*d*p**3 + d*p**2 + 221*p**4 + 160*p**2 wrt p?\nAnswer: -48*d*p + 12*d + 5304*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -62 (b) 0 (c) -2\/13 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112 - 562\/5. Which is the biggest value? (a) 3 (b) p (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 2*m - 12, 3*m = 2*p - 5 + 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1367 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2300310 (base 5) to base 16.\nAnswer: -9f01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30617\/6 - 5090. Calculate the common denominator of 32\/7 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkz when three letters picked without replacement from ktddkdbkkkkdkbdzd?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/6)*l)\/l**(-3\/8)*(l*l**(-2))**42*(l**(2\/23)\/(l\/((l\/l**(-2\/3))\/l)))**(-24\/5) assuming l is positive.\nAnswer: l**(-109321\/2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3167, -6330, -9493, -12656, -15819?\nAnswer: -18982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y - 12*y + 9*y**2 + 35*y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -109\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/6 - (-5 - 32\/(-6)). Let 18*j**2 - 8*j**2 + 10*j**2 + 40*j**u + 25*j**4 + 5*j**5 = 0. Calculate j.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 9:04 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 4. Let o be -2 - 1 - (c + -7). Which is greater: o or 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-14 + 11 - -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 2\/7, 1\/7, -1\/4, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*p*r + 1008*a*p - 3328*a*r - 4*a - p*r - 7*p + 2*r + 2 wrt p.\nAnswer: -a*r + 1008*a - r - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = 27 - 91 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 - 2. Let v = -11.4993 + 7.4993. Put -8, v, 0.5, j in decreasing order.\nAnswer: 0.5, j, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -8) + 4 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y\/y**(-2\/5)))\/y**18)**7 assuming y is positive.\nAnswer: y**(-714\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -611\/114 - -105\/19. What is the nearest to 1 in o, -1.2, 4, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73 - (58 - 136))\/(2*1\/(-6)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 54. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 190*k**3 + 2*k**2 - 16*k + 22. Let n(d) = -d**3 + 8*d + 1. Calculate -2*n(f) - x(f).\nAnswer: -188*f**3 - 2*f**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1987, 2449, 9, -6785, -19385, -39243, -67811, -106541?\n\"Answer: -242*w**3 + w**2 + 2153*w + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2892*i + 16956 - 72741 - 19437 = 25998 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1666037, -1666059, -1666133, -1666289, -1666557?\nAnswer: -1666967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003753 rounded to six decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 172 or 162?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -319, -651, -995, -1345, -1695, -2039, -2371, -2685?\nAnswer: -2975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -7. Let u be (8\/(-24))\/(1\/n). Let b be (-4)\/(-14) - (1834000040\/35)\/u. What is b rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 581 + -388. Suppose 0 = -i*k + 189*k - 4. Let o = 1.6 + 0.4. Is k less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6572.86 rounded to the nearest ten?\nAnswer: -6570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191161, 382525, 573889, 765253, 956617?\nAnswer: 1147981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 943, 7, -2, -3, 4 in decreasing order.\nAnswer: 943, 7, 4, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23453802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 0.5, 0.02, -0.1, -1\/4, 5.74?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82509239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xomi when four letters picked without replacement from {m: 1, z: 7, o: 2, x: 9, i: 1}?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 - -46. Let y = o + 31. What is the remainder when 107 is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/7 + 13355938*y**2\/7 + 22297628304510*y\/7 - 22297641660450\/7 = 0. What is y?\nAnswer: -3338985, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56384.\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6614848?\nAnswer: 2, 103357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + (-5 - (-15 - -5) - 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -85413.85 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkt when three letters picked without replacement from {t: 8, k: 4, o: 1, z: 1, p: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 0 - (68 + -127 - -52) - 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5))**(-37)*(k*k**(-5))\/((k**(4\/7)\/k)\/k))\/(((k**(-3)\/k*k)\/k)**(1\/12))**21 assuming k is positive.\nAnswer: k**(-363\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 10*v + 3*z = 312, -2*z = 3*v - 188. Calculate the least common multiple of 25 and v.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 + 18713*s - 18713*s.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**4\/4 - 2*w**3\/3 + w**2\/2 + 4. Let d be o(2). Is (-4)\/(-3)*6\/d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99 - -97 - (2 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -17\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - -16. Let s = 12 + t. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**22\/j*(j*j\/j**(7\/4)*j)\/j*j*j**(-23)\/j*j*j\/(j*j**(16\/3)))**29 assuming j is positive.\nAnswer: j**(-2117\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.005357 (b) 0.3 (c) 3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -82*u - 60. Let i = -13 - -7. Is w(i) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 55 - 73 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -36*i**3 - 6*i**2 - 6*i - 2. Let x(g) = -36*g**3 - 4*g**2 - 4*g - 2. Let p(f) = -3*d(f) + 4*x(f). Give p(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886 is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjgjjgjjjgjg. Give prob of picking 1 g and 1 j.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -10. Let w = -0.5 - -0.6. What is the nearest to w in 2\/11, 1, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135b99 (base 14) in base 15?\nAnswer: -d33a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 38*h**2 + 136*h - 12. Let d be a(34). Suppose 0 = 4*f - f - 48. What is the remainder when (-42)\/(-5 - d) - -164 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, e: 2, v: 8, l: 5}. Give prob of picking 1 e, 1 v, and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*u**2 - 43*u**2 - 4*u + 4*u + 33*u**4 wrt u?\nAnswer: 792*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s + 4*s + 2*s + s - s + 2*s + (-1 - 1 + 3)*(-2*s + 0*s + 0*s) + 2*s - 4*s + 3*s + 1 - 1 + 2*s - 521 + 11*s + 36*s - 45*s.\nAnswer: 7*s - 521","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-6)\/8)*(-208)\/39.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 369.95 + -370. Let r be (-32)\/(-6) - 1\/3. Which is the closest to x? (a) -5 (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 61*s**6\/5 + 108*s**2 + 383*s. What is the derivative of t(j) wrt j?\nAnswer: 1464*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 14. Let n = -107.9 - -107.4. Which is the second biggest value? (a) 2 (b) n (c) h (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145383?\nAnswer: 3, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 10*m + 2. Let t be w(9). Suppose -9 = -2*g + t. Calculate the remainder when 28 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1713.403 * -13.\nAnswer: 22274.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63 - -90?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 3*o + 5. Let i be x(7). Let n = i - -73. Let d = n - -54. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 11:49 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1010, 3536, 7712, 13544, 21038, 30200, 41036, 53552?\n\"Answer: a**3 + 819*a**2 + 62*a + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157968 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {h: 2, s: 8, v: 3, e: 4}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 0, 2\/5, -0.32, -3\/8, -39?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k - 1. Suppose 5*t + 3*d - 5*d - 15 = 0, -2*d = 3*t + 7. Let y be c(t). Suppose -3*h = y + 13. Sort 1, -3, h in ascending order.\nAnswer: h, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144720551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o + 18. Let q = 165 - 173. Determine a(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27866 - 27864. Let 16\/7 - 2\/7*b**5 - 4\/7*b**c - 22\/7*b**3 + 24\/7*b - 12\/7*b**4 = 0. What is b?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12822 - 12830. Let r(t) = 6*t**3 - 4*t**2 - 8. Let o(b) = 2*b**3 - b**2 - 3. What is d*o(g) + 3*r(g)?\nAnswer: 2*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k + 1. Let z(s) = -4*s + 1. Let n(o) = -3*g(o) + 2*z(o). What is n(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -19*c - 73. Let j be o(-17). Let z be 1*(-2)\/(-6) - 50\/j. What is the closest to 0.3 in -0.1, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 15. Let f be w(-14). Let a be 4*((f - (-113)\/4) + 2). Let p(m) = 3*m**2 - 4*m**2 + a - 117. Determine p(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/416 and 97\/1894048.\nAnswer: 1894048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 26706168.\nAnswer: 293767848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2037 + -2033. Let j(u) = u. Let p(b) = -2*b + 3. Calculate q*j(a) + p(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.83022 to 4 dps.\nAnswer: 0.8302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*v = 105. Suppose 0 = 10*l - v*l - 5*z + 1100, 5*z - 449 = -2*l. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x + 67*x = -85*x - 81*x - 5916 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 3. Let l(g) = 5*g**2 - 7. Let f(a) = -7*h(a) + 3*l(a). Let r be f(-2). Let k(i) = i**2 - i. Give k(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o\/(o**(-3)*o))\/o)**(5\/11))**15 assuming o is positive.\nAnswer: o**(300\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7a7 - -1?\nAnswer: -7a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.951 to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.412720506 to four decimal places.\nAnswer: -0.4127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*c - 14*o, -3*c - 91*o + 94*o = -27 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -119.79992016 to 2 dps.\nAnswer: -119.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 19*t - 135 = 10*m, 4*m + 422 = 5*t + 311 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -12. Suppose 2*v - q = -1. Solve 2*w + v = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3115.4 + -3115. What is the fourth smallest value in 6, 0.07, 5, s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45146 (base 10) to base 5\nAnswer: -2421041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 3\/2 (c) -570 (d) -8 (e) -13 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/4 and 59\/402.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 2*i - 22, 4*i = 5*z - 230 + 259 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v + 6*v - v. Let p(g) = -20*g + 8. Let n(t) = 13*t - 5. Let u(o) = 8*n(o) + 5*p(o). Calculate a(u(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92613 + -40840. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 28 - 8 = 0. What is the second derivative of -4 + 4 + 4*h + h**5 + 0*h**f wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 19. Let p be ((-10)\/(-12))\/(21\/(-12) - -3). Which is the second biggest value? (a) p (b) -2\/5 (c) j (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (27 + -7 + -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102374 is divided by 367.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaicqci. Give prob of sequence iix.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13381.81 millennia?\nAnswer: 160581720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 24*t = 20. Suppose -5*h - 2*z = -248, -2*z + 256 = t*h + 2*z. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 641.4613 micrometers?\nAnswer: 0.0000006414613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*c + 14, -3*c = -5*q - 16 + 21. Suppose -149 - 176 = 5*g. Sort -3, g, 3, q in increasing order.\nAnswer: g, -3, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3185592918.\nAnswer: 2, 3, 530932153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*p**5 - 8*p**4 - 2*p**3 + 3*p**2 + p + 232 wrt p.\nAnswer: 780*p**2 - 192*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 12:47 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/16 - -1)\/(2865\/6876)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k + 3 + 7 - 16 + 1 in the form u*k + v and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21571 and 25947952.\nAnswer: 1961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 368.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1250565, 1250575, 1250587, 1250601, 1250617, 1250635?\n\"Answer: k**2 + 7*k + 1250557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:59 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3, s: 3, o: 5}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 387421589 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1541600 divided by 1927.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 0.037, -23.052?\nAnswer: -23.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6\/7)\/p**(-7))\/(p**5\/((p\/p**(-9))\/p))*(p**(-5)*p*p**(3\/14))**(7\/2) assuming p is positive.\nAnswer: p**(-87\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -21 + 8 + 8 - 12*v. Suppose -2*d = 4 - 0. What is the remainder when 74 is divided by w(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -2. Suppose -3*g = -14 - p. Suppose -3*v + y = -g - 3, v - y = 1. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 1 = -41. Calculate the remainder when 36 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + (2 + -2*sqrt(2736) - sqrt(2736))*-4 + 2 + 5)**2.\nAnswer: -864*sqrt(19) + 393993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/54 - (-1)\/(18\/58). Factor -h*x + 3*x**3 + 41 - 74 - 3*x**2 + 36.\nAnswer: 3*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54428 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-729)\/405*(-30)\/(-99)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 9*u - 4*u = -15, -u - 3 = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12996 and 2487924.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/190, -2, -0.03, 5, -6 in ascending order.\nAnswer: -6, -2, -0.03, -1\/190, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*m - 406*m = -8192 - 13228 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 49. Determine i(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107092 + -59499. What is the thousands digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385464*v**3 + 192739*v**3 + 192867*v**3.\nAnswer: 142*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3 + 21432*r**2 + 21428*r = 0. Calculate r.\nAnswer: -5357, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3919015?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4232 is divided by 407?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from pkppkkkkppkkpkkkkkp?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 11*m - 4. Let z be c(-10). Suppose b + 2 = -z. Let n be ((b\/1)\/(-1 - 1))\/(-1). Sort -14, n, 5 in increasing order.\nAnswer: -14, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*b - 2 = 0, -5*n - 3*b = -2*n - 9. Suppose -3 + 7 = n*w. What is the tens digit of 51 + w + (1 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h**2 - 10*h + 19. Let s(v) = 7*v**2 - 9*v + 4*v - 4*v - 39528 + 39544. Let a(t) = -6*b(t) + 7*s(t). Calculate a(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2 + 6671139*u - 6671142 = 0. Calculate u.\nAnswer: -2223714, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 23. Let d be f(13). Solve -36 = 4*g - 4*k, -d*k = g + g - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -1\/4 (b) -10 (c) 5 (d) 4 (e) -263\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**3\/9 + 2*n**2 + 14*n\/3 - 490\/9 = 0?\nAnswer: -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 + 48 + -49 + 9?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*w + 6. Suppose 3 + 0*y**2 + y - 2*y**2 - 3 + y**w = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 60) + (43 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**0*m*(m\/(m*m**0))\/m)**(-11\/4))**8 assuming m is positive.\nAnswer: m**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*h - 7*h - 2*h)*(h - 5*h + 3*h)*(0 + 3 - 4) in the form u*h + k + j*h**2 and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 14742777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, f: 1, k: 3, i: 4, c: 1}. Give prob of sequence cdfk.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/20 and (-4)\/10 + (-7581)\/(-840).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}